Anna earned 45 points on her last test, if there were 60 possible points, what was her percent grade?

PLEASE ANSWER SOON

Answers

Answer 1

Answer:

75%

Step-by-step explanation:

You do 45/60, which is 0.75. 0.75 is 75%.


Related Questions

10 + 5 + 5 ( 10 + 10 )

Answers

Answer:

The answer is 115 you do parentheses first and multiply 5 by the number in the parentheses and then add

Step-by-step explanation:

f(x) = 5x2+2x2 - 90x - 36

find all zeros by factoring

Answers

Answer:

10x+4x-90x-36

14x-90x=36

76x=36

X=36/76

0.47 is the answer

Simplify the following expression: -ab+12a-6ab

Answers

-7ab + 12a

Explanation:

-ab+12a-6ab

Collect like terms:

-ab - 6ab + 12a

-ab is the same as -1ab. Add it to -6ab, you will get negative 7ab

-7ab + 12a

The simplified expression = -7ab + 12a

What is the least common multiple (LCM) of 8, 12, and 18? A. 24 B. 36 C. 48 D. 72​

Answers

Answer:

72

Step-by-step explanation:

First of all, we need the numbers as a product of its prime numbers.

8 = 2×2×2

12 = 2×2×3

18 = 2×3×3

Now we can see that there is one 2 in all three numbers. And also two twos in 8,12 and two threes in 12,18. We need to group it and take it as one. The rest we take it individually each

So 2×2×2×3×3 = 8×9 = 72

what is 4,234 dekaliters converted to milliliters

Answers

Answer:

4,234 dekaliters converted to milliliters is 42340000.

Step-by-step explanation:

Answer: Your answer is going to be 42340000 millimeters.

Step-by-step explanation:

Find out how much one dekaliter is worth; multiply by that amount.

what is the correct decision in a hypothesis if the data produce a t-statistic that is in the critical region?

Answers

The correct decision in a hypothesis test when the data produces a t-statistic that is in the critical region is to reject the null hypothesis.

This is because a t-statics in the critical region indicates that the differences between the sample mean and the population mean are statistically significant. This means that the data indicates that the null hypothesis is wrong and that the alternative hypothesis is true. In a hypothesis test, the null hypothesis is what the researcher is trying to disprove. It is the general statement that suggests that there is no difference between the sample mean and the population mean. The alternative hypothesis is what the researcher is attempting to prove. It suggests that there is a difference between the sample mean and the population mean. Therefore, when the data produces a t-statistic that is in the critical region, it indicates that the alternative hypothesis is true. When a t-statistic is in the critical region, it means that the result is statistically significant. This means that the differences between the sample mean and the population mean are unlikely to have occurred by chance and that the alternative hypothesis is likely to be true. Therefore, when the data produces a t-statistic that is in the critical region, the correct decision is to reject the null hypothesis and accept the alternative hypothesis.

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For a pair of sample​ x- and​ y-values, the​ ______________ is the difference between the observed sample value of y and the​ y-value that is predicted by using the regression equation.

Answers

For a pair of sample x and y values, the residual exists as the distinction between the observed sample value of y and the y value that exists indicated by utilizing the regression equation.

What is the difference between the observed sample value of Y and the Y value that exists as predicted by utilizing the regression equation?

In regression analysis, the distinction between the observed value of the dependent variable and the predicted value exists named the residual.

A regression equation exists utilized in stats to estimate what relationship if any, exists between sets of data.

For a pair of sample x and y values, the residual exists as the distinction between the observed sample value of y and the y value that exists indicated by utilizing the regression equation.

Residual = observed y - predicted y.

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help asap please!
I have only 30 mins and I hope someone can help.
Question is in the pdf.

help asap please!I have only 30 mins and I hope someone can help.Question is in the pdf.

Answers

Answer:

y = 5 x = 4

Step-by-step explanation:

System of equations.

help asap please!I have only 30 mins and I hope someone can help.Question is in the pdf.

Answer:

x = 4

y = 5

Step-by-step explanation:

A)

5x - 2y = 10

x - y = -1             (Multpliy this by -2)

-2x + 2y = 2

5x - 2y = 10

3x = 12

x = 4

x - y = -1

4 - y = -1

-y = -5

y = 5

B)

Yes, the prices satisfy both equations

Nathaniel was given a large box of 24 chocolates for his birthday. If he
eats exactly 2 chocolates each day, how many chocolates would
Nathaniel have remaining 8 days after his birthday?

Answers

24 - (2 x 8)
24 - 16 = 8

Three consecutive even integers have the property that when the sum of the first integer and twice the second is found, the result is eight more than the third. What is the largest integer?

Answers

Answer:  8 is the largest

The three consecutive integers are 4,6,8.

=================================================

Explanation:

x = first even integerx+2 = second even integer after x(x+2)+2 = x+4 = third even integer after x+2

There's a gap of 2 units between adjacent neighboring numbers. Consecutive even integers are numbers like 2,4,6,... or 10,12,14,... They are even numbers and they follow one right after another.

-------------

The sum of the first and twice the second is 8 more than the third, so,

first + 2*(second) = (third) + 8

We'll plug in the expressions defined above and solve for x

x + 2*(x+2) = (x+4) + 8

x + 2x+4 = x+4+8

3x+4 = x+12

3x-x = 12-4

2x = 8

x = 8/2

x = 4 is the first number

x+2 = 4+2 = 6 is the second number

x+4 = 4+4 = 8 is the third number and the largest

Consider the complex number ^w = , where z = x+iy and I = square root of -1. a) If w = I, determine z in the form z = r cos theta. b) Prove that w = (x3+2x+y3+y) + 1 (x+2y+2)/ (x+2)2+y2
c)Hence show that when Re(w) = 1 the points (x,y) lie on a straight line, l_1, and write down its gradient. d)Given arg(z)= arg(w) = pie/4,

Answers

a) If w = I, then we can write w = 0 + I. This means that x = 0 and y = 1. Using the polar form of a complex number, we can write z = r cos theta + I r sin theta. Since x = 0 and y = 1, we can write z = r cos theta + I r sin theta = 0 + I. This means that r cos theta = 0 and r sin theta = 1. Since cos theta = 0, theta = pi/2. Therefore, z = r cos (pi/2) = I.


b) To prove that w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2, we can substitute the values of x and y from the equation w = x + I y into the equation and simplify.

w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= w

Therefore, the equation is true.

c) When Re(w) = 1, this means that the real part of w is equal to 1. Therefore, x^3+2x+y^3+y = 1. We can rearrange this equation to get y^3+y = 1-x^3-2x. Taking the derivative of both sides with respect to x, we get 3y^2 dy/dx + dy/dx = -3x^2-2. Solving for dy/dx, we get dy/dx = (-3x^2-2)/(3y^2+1). This is the gradient of the line l_1.

d) Given that arg(z) = arg(w) = pi/4, this means that the angle of both z and w is equal to pi/4. Using the polar form of a complex number, we can write z = r cos (pi/4) + I r sin (pi/4) and w = s cos (pi/4) + I s sin (pi/4). Since the angles are equal, this means that r cos (pi/4) = s cos (pi/4) and r sin (pi/4) = s sin (pi/4). Therefore, r = s and z = w.

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280 grams - 23grams=

Answers

The answer to your question is
257

What is the constant of proportionality between y and x in the graph?

Answers

Answer:

y=2x

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the answer is 2 bc if we put the y axis as how many cats in kiki's house and x axis as how many dogs were in kiki's house, we would use this equation y=kx

the k would be our unit rate and y would be our cats, x would be dogs, so we divide y to x meaning 4 divided by 2. the unit rate would be 2.

HELP!!! MEEE ITS URGENT

HELP!!! MEEE ITS URGENT

Answers

Answer:

C = 3.14

Step-by-step explanation:

Center of the circle is (h, k)

h = 4,  k = 1

Use the equation of a circle and the given point (4, -4) to find r:

r² = (x-h)² + (y-k)² = (4-4)² + (-4-1)² = 0 + (-5)² = 25

r = √25 = 5

Find circumference, C:

C = 2πr = 2π(5) = 31.4

Brainly doesn't provide drawing tools, but you can easily draw this circle.  Just plot the center point (4, 1), then draw a circle with a radius of 5 around it.  You'll see that this circle passes through the point (4, -4).

FIRST TO ANSWER GETS BRAINLEIST!

FIRST TO ANSWER GETS BRAINLEIST!

Answers

Answer:

d. windy with a high chance of precipitation.

Step-by-step explanation:

a solid blue line means a cold front. the triangles are pointed in the direction it's going. cold fronts typically bring cold temperatures, torrential rains, and high wind speeds.

What is the measure of angle CBA?
(2x +35)
B
G
H
(4x -29°
(not drawn to scale)
0991
O 35
0105
111

Answers

Answer:

d

Step-by-step explanation:

yes

Help with geometry on equations of circles. What would be the center of the circle and what is the length of the radius of this circle?

Help with geometry on equations of circles. What would be the center of the circle and what is the length

Answers

The coordinates of the center is (32, 40.5).

length of the radius of the circle is 73 units.

How to find the center coordinates

The coordinates of the center is solved using the formula for midpoints expressed as

Midpoint x-coordinate = (x₁ + x₂) / 2

Midpoint y-coordinate = (y₁ + y₂) / 2

Plugging in the values:

x₁ = 8 and y₁ = 13

x₂ = 56 and y₂ =68

Midpoint x-coordinate

= (8 + 56) /2

= 64/2

= 32

Midpoint y-coordinate

= (13 + 68) /2

= 81/ 2

= 40.5

distance formula will be used to find the length of the radius of the circle

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plugging in the values:

= √[(56 - 8)² + (68 - 13)²]

= √(48² + 55²)

= √(2304 + 3025)

= √5329

= 73

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let f(t)f(t) be the number of us billionaires in year tt. in 1985 there were 13 us billionaires, and in 1990 there were 99 us billionaires. assuming the yearly increase remains constant, find a formula predicting the number of us billionaires in year tt.

Answers

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?

Answers

Answer:

The p-value is 0.025

Step-by-step explanation:

Given that:

30% of the people in Washington state want cell phone use banned in cafes

sample size N = 1450

X = 474 people have the same opinion.

The objective is to calculate the p-value.

Let's assume the level of significance = 5% = 0.05

From the information given ; the null and alternative hypothesis can be computed as:

\(\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}\)

USING MINITAB; the simulation on what we compute on our MINITAB can be written as:

Test for p = 0.3  vs p not  = 0.3

Sample  X       N         Sample p    95 C.I                            Z-value     P-value

1             474   1450   0.326897    (0.302752, 0.351041)   2.23            0.025

From what we have in our MINITAB Output;

Z - value = 2.23

P-Value = 0.025

Work out he area of this circle. Take pi to be 3. 142 and give your answer to 1 decimal place

Answers

The area of circle with radius 4 centimetres and the special math constant, pi to be 3. 142 is equals to the 50.3 cm².

Area of a shape is defined as the total spece covered by shape in two-dimensional. In geometry, the area enclosed circle is calculated by π times the square of radius of circle. Formula of Area = π × r², where 'r' is the radius. The units of area are square of units of radius that if radius in feet then unit of area will be square feet. We have a circle with radius say r = 4 cm.

The value of specific math constant, pi ( i.e., π) is equals to be 3.142. We have to determine the area of circle. The area of circle, A = π× 4²

=> A = 16π

=> A = 16× 3.142

=> A = 50.272 ~ 50.3 cm²

Hence, the required area value is 50.3 cm².

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Complete question:

The above figure completes the question.

Work out he area of this circle. Take pi to be 3. 142 and give your answer to 1 decimal place

Work out he area of this circle. Take pi to be 3. 142 and give your answer to 1 decimal place

How do you solve rational expressions step by step?.

Answers

An equation that has fractions with xs in the numerator, denominator, or both is referred to as rational. A rational equation looks like this: (4 / (x + 1)) - (3 / (x - 1)) = -2 / (x^2 - 1).

Consider the last time you used a fraction to solve an equation. 1/3 x = 8. The 3 in the denominator is a prisoner in our eyes, and we wish to free it. We multiply both sides of the equation by 3 to release the 3. Consider it as 3 notifying both parties of his departure. 3 (1/3 x) = 8 (3). (3).This procedure eliminated the fraction x = 24 and released our denominator. We add one more step to it when we need to solve rational equations. Sometimes, even though our answer to a rational equation appears to be sound, it actually contains a virus that prevents it from working. We refer to these as superfluous solutions. To answer a rational equation, follow these steps:

1. Determine the common denominator.

2. Divide all sums by the lowest common denominator.

3. Simplify.

4. Verify the solution(s) to make sure there aren't any unnecessary ones.

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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a length of x plus 20 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 6 and width of 2 write an equation to determine the area, a, of the patio that will be painted. a = (x 20)(x 10) 12 a = (x 20)(x 10) − 12 a = (x 26)(x 12) a = (x 14)(x 8)

Answers

The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.

What is a Rectangle?

A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).

What is the Area of a Rectangle?

The area of a rectangle = (length of rectangle)(width of rectangle).

Given the following parameters for the patio and the bench:

Length of rectangular patio = x + 20Width of rectangular patio = x + 10Length of rectangular bench = 6Width of rectangular bench = 2

Area to be painted = area of rectangular patio - area of rectangular bench

Area of rectangular patio = (x + 20)(x + 10)

Area of rectangular bench = (6)(2) = 12

Area to be painted = (x + 20)(x + 10) - 12

The answer is: B. A = (x + 20)(x + 10) - 12.

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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:

Can somebody pls help me with this??? It’s due at 11:59 pm and I am stuck! Will mark any one who can help me with this as Brainiest!

Can somebody pls help me with this??? Its due at 11:59 pm and I am stuck! Will mark any one who can help

Answers

Answer:

a.

Step-by-step explanation:

A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.

Answer:

a and c

Step-by-step explanation:

both of them go up linear-ly

QUICK QUESTION: is this right?

QUICK QUESTION: is this right?

Answers

Answer:

C3H8 + 5O2 → 3CO2 + 4H2O

Step-by-step explanation:

Propane + Dioxygen = Carbon Dioxide + Water

Reaction Type

Combustion

A number x is selected at random in the interval [−1, 2]. Let the events A = {x < 0}, B = {|x − 0.5| < 0.5}, and C = {x > 0.75}. (a) Find the probabilities of A, B, A ∩ B, and A ∩ C. (b) Find the probabilities of A∪B, A∪C, and A∪B ∪C, first, by directly evaluating the sets and then their probabilities, and second, by using the appropriate axioms or corollaries.

Answers

(a) Probability of A is 1/3.

To find the probability of event A, which is the event that x is less than 0, we divide the length of the interval where x is less than 0 by the length of the whole interval (which is 3).

The probability of A is 1/3.

Probability of B is 1/3.

Event B is defined as the event that |x - 0.5| is less than 0.5. To visualize this, consider the number line. |x - 0.5| represents the distance from x to 0.5. Thus, B is the interval between 0 and 1.

The probability of B is also 1/3.

Probability of A∩B is 1/3.

Since B is a subset of A (i.e., every x in B is also in A), the intersection of A and B is equal to B.

The probability of A∩B is the same as the probability of B, which is 1/3.

Probability of A∩C is 5/12.

Event C is defined as the event that x is greater than 0.75. A∩C represents the interval between 0.75 and 2.

The probability of A∩C is 1.25/3 or 5/12.

(b) Probability of A∪B is 2/3

The union A∪B represents the interval between -1 and 1.

The probability of A∪B is 2/3.

Probability of A∪C is 7/12

The union A∪C represents the whole interval except the interval from -1 to 0.75.

The probability of A∪C is 7/12.

Probability of A∪B∪C is 5/6

A∪B∪C represents the whole interval except the interval from -0.5 to 0.75.

The probability of A∪B∪C is 5/6.

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This is due today, please help. i'm willing to give 100 points and brainliest for first correct answer.
1. use the map to identify where surtsey and eldfell formed, where merapi formed, and where kilauea formed. describe whether each volcano was formed on a divergent boundary, a convergent boundary, or a hot spot. (pic provided)
2) use evidence from the eruptions of surtsey, eldfell, merapi, and kilauea to explain how volcanoes gradually change earth's surface.

Answers

Volcanoes are formed through different geological processes, and their location can provide insights into the underlying tectonic activity. While I cannot specifically identify the locations of Surtsey, Eldfell, Merapi, and Kilauea on the map provided, I can explain the general mechanisms of volcano formation.

Volcanoes can form at divergent boundaries, where tectonic plates move apart, allowing magma to rise and create new crust. They can also form at convergent boundaries, where plates collide, leading to subduction and the formation of volcanic arcs. Additionally, hot spots can form volcanoes independent of plate boundaries, where plumes of hot mantle material rise to the surface.

Volcanoes play a significant role in shaping Earth's surface through their eruptions. Eruptions release molten rock (magma), gases, and volcanic materials onto the surface, impacting the surrounding environment. The type and magnitude of volcanic eruptions can vary depending on factors such as magma composition and gas content. Eruptions can result in the formation of new landmasses, such as islands or lava plateaus, as well as the alteration of existing landscapes.

Volcanic eruptions can cause various changes to Earth's surface. Lava flows can spread over large areas, covering existing terrain and creating new landforms. Volcanic ash, tephra, and pyroclastic flows can be deposited over vast distances, affecting ecosystems, climate, and human settlements. Volcanic gases released during eruptions can contribute to atmospheric changes and impact air quality. Over time, repeated eruptions can lead to the gradual building of volcanic cones or mountains, shaping the topography of the surrounding region.

The specific impacts and changes caused by the eruptions of Surtsey, Eld fell, Merapi, and Kilauea would require detailed examination of each event's characteristics, eruption style, and the specific geological context.

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Employees at a large company can earn monthly bonuses. The distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3. Let z represent the standard normal distribution. If x represents the mean number of monthly bonuses earned last year for a random sample of 40 employees, which of the following calculations will give the approximate probability that x is less than 2 ?
a. P [ z < (2-2.3 / (1.3/√40)) ]
b. P (z < 2)
c. P [z < (2.3-2 / 1.3) ]
d. P [z < (2-2.3 / 1.3) ]
e. P [z < (2.3 -2 / (1.3/√40)) ]

Answers

The correct calculation to find the probability that x is less than 2 is:

d. P [z < (2 - 2.3 / (1.3/√40))]

We know that the distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3.

Since we have a sample of size 40, we can use the central limit theorem to approximate the distribution of the sample mean x with a normal distribution with mean 2.3 and standard deviation 1.3/√40.

To find the probability that x is less than 2, we need to find the z-score corresponding to x = 2, given the distribution of x. We can do this using the formula:

z = (x - μ) / σ

where μ is the mean of the distribution of x (which is 2.3) and σ is the standard deviation of the distribution of x (which is 1.3/√40).

Plugging in the values, we get:

z = (2 - 2.3) / (1.3/√40)

z = -1.63

So, the probability that x is less than 2 is equal to the probability that z is less than -1.63, which is given by the standard normal distribution table as:

P [z < -1.63]

Therefore, the correct calculation to find the probability that x is less than 2 is:

d. P [z < (2 - 2.3 / (1.3/√40))]

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Please help, will give brainliest. I think I know the answer, but I don't know how to get past: \(\frac{\sqrt{-4a}}{\sqrt{2a}}\)

Please help, will give brainliest. I think I know the answer, but I don't know how to get past: [tex]\frac{\sqrt{-4a}}{\sqrt{2a}}[/tex]

Answers

Answer: I believe it is 2, not -2.

Let S denote the vector space of solutions to the differential equation my" - 8«y' + 18y = 0. Circle each set below, if any, that is a basis for S. Show work or explanation to justify your answer: Si = {x} S2 = {x",) S3 = {3.8 +67"} Su = {z + 4x0,728 - } Ss = {x....) b). • Prove that if S-AS = B for some invertible matrix S and v is an eigenvector of A corresponding to then S-lv is an eigenvector of B corresponding to . c) • Let {vi. Va be a linearly independent set of vectors in a vector space V. Prove that if va span{ V1.va). then {V1, V2, V3} is a linearly independent set. d). TRUE or FALSE: If A is a 13 x 4 matrix will nullity(A) 0, then colspace(A) = R'.

Answers

The sets given are not bases for the vector space of solutions to the differential equation. A property of invertible matrices is explained. If a set of vectors is linearly independent and spans a subspace, then adding another vector to the set maintains linear independence. The statement about nullity and column space is false.

a) None of the sets Si, S2, S3, Su, or Ss is a basis for the vector space S of solutions to the given differential equation.

b) Let A be the matrix associated with the linear transformation defined by the differential equation. If S is an invertible matrix such that SAS⁻¹ = B, where B is another matrix, and v is an eigenvector of A corresponding to the eigenvalue λ, then S⁻¹v is an eigenvector of B corresponding to the eigenvalue λ.

c) Suppose {v₁, v₂, v₃} is a linearly independent set of vectors in a vector space V. If va spans the subspace span{v₁, v₂}, then {v₁, v₂, v₃} is also a linearly independent set.

d) FALSE. If A is a 13 x 4 matrix with nullity(A) = 0, it means that the matrix has no nontrivial solutions to the homogeneous system Ax = 0. This implies that the columns of A are linearly independent, but it does not guarantee that colspace(A) = ℝⁿ. The column space of A could still be a proper subspace of ℝⁿ.

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what are the solutions of x^2+25=0

Answers

Answer:

x=5 or x=-5

Step-by-step explanation:

(x+5)=0 (x-5)=0

Other Questions
please help me I'm in a hurry!!!!!Construct quadrilateral ABCD such that AB = 5 cm, BD = DC = 8 cm, angle B = 30 and angle C = 45Measure the diagonal |AC|. Which of the following methods of heat transfer causes the tectonic plates to move? Conduction Convection Evaporation Radiation Kenji left japan to pursue handwriting in what city. A line passes through (-3, 6) and has a slope of -5. What is an equation of the line? A rectangle has the following dimension: Length (x+1) cm Width x cm. Find the perimeter of the retangle.A.(4x+2) cm^2B.(2x+1) cmC.(2x+1) cm^2D.(4x+2) cm This battle was different in that the Confederate Army, under General Lee's command, went on the _________ with the battle taking place in the ________rather than the South. Which of the following represents a function that passes through the point x = a and "bounces off" the point x = b, and has a a degree of 5?A. y = (x - a)(x - b)^4B. y = (x - a)72(x - b)^2(x - c)C. y = (x - a)^2(x - b)^3D. y = (x - a)(x - b)^2E. None of These Consider a 0.241 M aqueous solution of sodium hydroxide, NaOH.A. How many grams of NaOH are dissolved in 24.43 mL?B. How many individual hydroxide ions (OH-) are found in 24.43 mL?C. How many moles of sulfuric acid, H2SO4, are neutralized by 24.43 mL of 0.241 M NaOH(aq)? Question 2 Load shedding is an endemic in South Africa, many businesses and households are compelled to consider alternative sources of energy. The advertisement below depicts a solar panel kits with different payment options. TABLE 1: Solar panel kit and payment options Payflex Cash Price R13 278 (Vat Incl.) Split payment into 4 x interest free payments. 2.1 Available on Pre-Order Initial payment is two fifths of the cash price. Credit agreement Deposit: 10% Instalment: A x 24 months Interest Rates: 15% per annum monthly compounded. (adapted from solardirect.com) 2.1.1 Define deposit within the given context. 2.1.2 If the Payflex option is chosen, calculate the initial instalment amount and subsequent payable amounts. 2.1.3 Which payment option best suits the traditional hire purchase arrangement? 2.1.4 If a deposit is paid as per credit agreement requirements. Calculate the value of A, the instalment amount. (2) (5) Read the excerpt from "Raymond's Run." I always win cause Im the best," I say straight at Gretchen who is, as far as Im concerned, the only one talking in this ventriloquist-dummy routine. Gretchen smiles, but its not a smile, and Im thinking that girls never really smile at each other because they dont know how and dont want to know how and theres probably no one to teach us how, cause grown-up girls dont know either. How does the author develop Squeaky's viewpoint in this excerpt? by showing that Squeaky thinks girls are raised to dislike each other by illustrating that Squeaky dislikes people who brag about their accomplishments by revealing that Squeaky thinks Gretchen is the least intelligent of the group of girls. by explaining Squeaky's eagerness to befriend Gretchen How does the characterization of the aunt create satire The story began badly? To prepare 1 step income statement from the following information for the company ABC" and to find NET INCOME.Sales 575 000Research and develompent 12 700Interest exp. 14 522Income taxes 80 000Interest and dividends 22 400Gain ?Cost of the goods sold 353 712General and administrative exp. 24 888Company selling old car for 11 000 euro. Over the years, the cost of the car was depreciated on the company's accounting records (5 500) euro. Unit 1 assignment 7th grade math Arijit has terminal cancer. He reacts to the stress of his condition by feeling grateful for his life and accepting his oncoming death. His response b How are decomposers important in the food web of an ecosystem?they break down organic molecules back to basic nutrientsthey are the only organism that can consume a tertiary consumerthe provide the most energy for the ecosystemthey are usually at the start of the food web Cellular respiratory uses carbon dioxide to convert the chemical energy in organic molecules into ATP True or false 6. Name three important USES for water in the Middle East. The wipeout ski company manufactures skis for beginners. Fixed costs are $30 A light airplane is flying at 85 km/h on a heading of 130. The wind is blowing at 25 km/h from a bearing of 260. Find the ground velocity of the airplane. What is the capital of Washington DC? State reason.