WILL GIVE 12 POINTS AND BRAINLIEST IF ANSWERED IF ANSWERED CORRECTLY

Solve for t: d=rt-g

Answer:

6 1/8 cups

Step-by-step explanation:

multiply both numbers together

Answer:

x = -9, 10

Step-by-step explanation:

\(x^2 - x = 90\\\)

Solve this as a quadratic equation, so subtract 90 from both sides:

\(x^2-x-90=0\)

Factoring:

\((x+9)(x-10) = 0\)

This means that:

\(x + 9 = 0\\\\x=-9\\or\\x - 10 = 0\\x = 10\)

x can be -9 or 10.

Step-by-step explanation:

to compare 5/6 and 1/3 we need to bring both fractions to the same denominator (bottom part of a fraction).

in other words, 1/3 needs to become x/6.

so, what do we need to do to bring 3 to 6 ? we multiply by 2.

and then we need to multiply also the numerator (top part) by the same 2, so that all we do is multiplying 1/3 by 2/2 and keep the value of the fraction unchanged.

1/3 × 2/2 = 2/6

and we compare 5/6 with 2/6.

how many 2/6 pound bags can he make out of 5/6 pounds ?

2 (2 × 2/6 = 4/6).

so, he can make 2 bags and has 1/6 pound left.

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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The statement that correctly rounds the GPA to the hundredth position is b. newgpa = round(gpa, 2).

Rounding to the hundredth position means keeping only two decimal places. To do this in Python, we use the round() function with a second argument of 2, which specifies the number of decimal places to keep. Therefore, the correct statement is b. newgpa = round(gpa, 2).

It's important to understand what each of the answer choices means to see why b is the correct option. Option a. newgpa = round(gpa, 100) would round the GPA to the nearest multiple of 100, which is not what we want. Option c. newgpa = round(gpa, .01) and d. newgpa = round(gpa, '$.01') are invalid statements because the second argument of the round() function must be an integer, not a string or float. Therefore, the only valid option is b. newgpa = round(gpa, 2), which rounds the GPA to two decimal places.

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Answer:

5

Step-by-step explanation:

the diameter is 2 times the radius. So, 10=2r

r=5

The arithmetic sequence with the given values a1 = 5  n= 10 and a10 =32 is 5,8,11,14 and soon

What is Arithmetic sequence ?

An arithmetic sequence is a sequence of numbers where each term is obtained by adding a fixed number, called the common difference (d), to the preceding term. In other words, an arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is the same.

Given a1 = 5  n= 10 and a10 =32

so we know that,

a10 = a+ 9 d

32 = 5 + 9*d

9d = 27

d = 3

so the sequence could be

a1 = 5

a2 = a+ d = 5 + 3 = 8

a3 = 8+ 3 = 11

a4 = 11+ 3  = 14

therefore, The arithmetic sequence with the given values a1 = 5  n= 10 and a10 =32 is 5,8,11,14 and soon

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Answer:

1.

Step-by-step explanation:

the slope can be calculated as

\(slope=\frac{y_2-y_1}{x_2-x_1};\)

according to the formula above:

slope=(9-1)/(10-2)=1.

Answer:

Pam is correct.

Step-by-step explanation:

Divide 15 by 3 = 5

5 x 4 = 20, the total of toys she has.

The sample size is 96.

The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.

The margin of error is a statistic that describes how much random sampling error there is in survey results.

The confidence interval is,

C = 95% = 0.95

The margin of error is,

E = 10

The population standard deviation is,

σ = 40

The formula for sample size is:

n = ( (  Z × σ ) / E )²

Area = ( 1 + c )/2 = ( 1 + 0.95)/2 = 1.95 / 2 = 0.975

From the z table, the p-value is 1.96.

sample size n = ( ( 1.96 × 50 ) / 10 )²

n = ( 98 / 10 )²

n = ( 9.8 )²

n = 96.04

n ≈ 96

Therefore, the required sample size is 96.

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Answer:

8000

Step-by-step explanation:

\(\frac{1}{5}*40000=\frac{40000}{5}=8000\)

More than means addition.

C is the correct option.

= (2x + 4) + 9 - 4y + 3x

= 2x + 4 + 9 - 4y + 3x

= 5x + 13 - 4y

= 5x - 4y + 13

Answer:

5x-4y+13 (c)

Step-by-step explanation:

9-(4y-3x)+(2x+4)

9-4y+3x+2x+4

3x+2x-4y+9+4

5x-4y+13

Answer:

Step-by-step explanation:

Where is the graph?

A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

Given n(sample size) = 84

Population mean(μ) = 180

Standard Deviation(σ) = 36

Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927

Standardizing the sample mean we have

Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n

x-bar = 180

Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273

Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254

The area ABCD is the probability that the sample mean will lie between 181 and 185.

The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)

Area corresponding to Z = 1.273 = 0.898

Area corresponding to Z = 0.254 = 0.598

The shaded Area ABCD = 0.898-0.598 = 0.300

Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.

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The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)

Data cleaning is defined as the process of fixing or removing data that are incorrect,  incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.

Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.

Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.

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The measure of angle A is 112 degrees. Hence, option d is correct.

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Similarly, since the angle of the cut is 36 degrees, the angle opposite it (angle BCD) is also 36 degrees. Since angles BCD and BDC add up to 90 degrees (because triangle BCD is a right triangle), angle BDC measures 54 degrees (90 - 36 = 54).

Now, we can find angle BDA by subtracting angle ADB and angle BDC from 180 degrees:

angle BDA = 180 - angle ADB - angle BDC

= 180 - 58 - 54

= 68

Finally, we can find angle A by subtracting angle BDA from 180 degrees:

angle A = 180 - angle BDA

= 180 - 68

= 112

Therefore, the measure of angle A is 112 degrees. Hence, option d is correct.

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Complete question:

The factored form of x² + 10x + 25 is (x + 5)².

To determine two values of n that allow the polynomial x² + nx + 25 to be a perfect square trinomial, we need to consider the general form of a perfect square trinomial:

(ax + b)² = a²x² + 2abx + b²

Comparing this form with the given polynomial x² + nx + 25, we can see that:

a²x² = x² (So, a = 1)

2abx = nx (So, 2ab = n)

b² = 25 (So, b = ±5)

Since we have b = ±5, the values of n can be obtained by substituting b = 5 and b = -5 into 2ab = n.

For b = 5:

2(1)(5) = n

10 = n

For b = -5:

2(1)(-5) = n

-10 = n

The two values of n that allow the polynomial x² + nx + 25 to be a perfect square trinomial are n = 10 and n = -10.

Now let's factor the polynomial x² + nx + 25 using one of the determined values of n (let's use n = 10 as an example):

x² + 10x + 25

We can factor this trinomial as a perfect square trinomial:

(x + 5)²

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We can use trigonometry to find the height of the water slide.

Let's call the height of the starting point of the water slide "h". We can then use the tangent function:

tan(49°) = h / 89

We can solve for "h" by multiplying both sides by 89:

h = 89 * tan(49°)

Using a calculator, we get:

h ≈ 94.29 feet

Therefore, the starting point of the water slide is about 94.29 feet above the ground.

Answer:

We can use trigonometry to solve this problem. Let's call the height we want to find "h." Then we can use the tangent function:tan(49) = h/89To solve for "h," we can multiply both sides by 89:89 tan(49) = hUsing a calculator, we get:h ≈ 94.6 feetSo you start your ride about 94.6 feet above the ground.

Answer:

Below

Step-by-step explanation:

The solution set is just the point where the two graphed lines cross....this point is common to BOTH lines and thus is the solution (2,2)

45, and

2x - 5

make up a straight angle pair.

So, they add up to 180 degrees.

Thus, we can write:

45 + 2x - 5 = 180

Now, we simply solve for x. Shown below:

a) The maximum Height of Projectile is 843.75 m

b) The projectile reach its maximum at t= 12.5 sec.

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

Given:

h(t) = -5t² +120t + 125

a) For the maximum height, h= 0

-5t² +120t + 125 = 0

t²  - 24 t - 25 = 0

t²  - 25t + t - 25 = 0

t( t- 25) + 1(t-25)= 0

(t-25)(t+1)=0

t= 25, -1

So, Max height is reached after half the total flight time, t= 25/2

So, h(25/2 )= -5(25/2)² +120(25/2) + 125

= -5 x 156.25 + 1500+ 125

= 843.75 m

b) The projectile reach its maximum at t= 12.5 sec.

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Answer: y<1/4x+4

Step-by-step explanation:

inequality graphs are there to find y.

dashed line tells us that it is <, or >.

shaded area tells us it is y<[line]

then the line is 1/4x+4

1/4 is the slope, and 4 is the y-intercept.

y<1/4x+4

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

\(y = \frac{1}{2}x^{2} - 3x + 11.5\)

Step-by-step explanation:

Vertex form of a quadratic equation;

\(y = a( x - h )^{2} + k\)

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

\(y = a ( x + 3 ) ^{2} + 7\)

Now substitute in the given point; ( -1, 9) and solve for a;

\(9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\\)

Hence the equation in vertex form is;

\(y = \frac{1}{2}(x - 3)^{2} + 7\)

In standard form it is;

\(y = \frac{1}{2}x^{2} - 3x + 11.5\)

In Professor A's model, ln(X) = -50 + 2X, coefficient 2 represents the impact of weight (X) on the log odds of being an Alsatian. For every one-unit increase in weight, the log odds of being an Alsatian increase by 2. This indicates that as the weight of the dog increases, the probability of it being an Alsatian also increases.

In Professor B's model, ln(X) = 50 - 2X, the coefficient -2 also represents the impact of weight (X) on the log odds of being an Alsatian. However, in this case, for every one-unit increase in weight, the log odds of being an Alsatian decrease by 2. This suggests that as the weight of the dog increases, the probability of it being an Alsatian decreases.

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The coordinate matrix of x in rn relative to the basis b' is [-3, 2] because x can be expressed as -3 times the first vector in b' plus 2 times the second vector in b'.

To find the coordinate matrix of x in rn relative to the basis b', we need to express x as a linear combination of the basis vectors in b', and then write the coefficients of that linear combination as entries in the coordinate matrix. In this case, we have:

x = (-31, 37)

b' = {(-7, 8), (4, -3)}

We want to find scalars a and b such that:

x = a(-7, 8) + b(4, -3)

Solving this system of equations, we get:

a = -3

b = 2

Therefore, the coordinate matrix of x in rn relative to the basis b' is:

[-3, 2]

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Answer:

480 in^3

Step-by-step explanation:

Multiplying the length of each of the sides together gives the volume, so \(12*4*10=480\)

Answer:

a = 11

b = 6

Step-by-step explanation:

\( \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3} )}{(7 + 4 \sqrt{3}) } \times \frac{(7 - 4 \sqrt{3})}{(7 - 4 \sqrt{3})} = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3)} (7 - 4 \sqrt{3} )}{ {(7)}^{2} - {(4 \sqrt{3} )}^{2} } a - b \sqrt{3} \\ \\ \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} - 24 }{49 - 48} = a - b \sqrt{3} \\ \\ \frac{11 - 6 \sqrt{3}}{1} = a - b \sqrt{3} \\ \\ 11 - 6 \sqrt{3} = a - b \sqrt{3} \\ \\ equating \: like \: terms \: on \: both \: \\ sides, \: we \: find : \\ \\ a = 11 \\ \\ b = 6\)