What is the area of a triangle with a base of 7 1/2 feet and a height of 8 feet

Answer: They intersect at (2,-1)

Step-by-step explanation:

Step-by-step explanation:

I hope my answer help you. Please, rate it as brainlest answer if it is right.

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

945 dollars

Step-by-step explanation:

find 10 percent of 750 and subtract it from 750. then you divide by 5 to get how much it would cost for 100 and then multiply that by 7 to get 700 square feet being 945 dollars

The determinant of an elementary matrix of this form is always equal to 1. Therefore, the determinant of this matrix is 1.

A single elementary row operation on the identity matrix yields a square matrix known as an elementary matrix. Simple row operations include adding a multiple of one row to another row and multiplying a row by a non-zero scalar. The resulting matrix is still invertible, and the opposite elementary row operation can be used to create the inverse of the identity matrix. In linear algebra, elementary matrices are used to describe and work with systems of linear equations. They also offer a practical method for computing determinants and resolving matrix equations. Additionally, they are used in encryption and computer graphics.

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According to the image the figures that show nets of cubes are: A and D.

To identify the nets of the cubes we must take into account that each square represents one side of the cube. In this case, the minimum requirement is that it have 6 squares, that is, 6 sides.

Once we have identified the number of sides, we must imagine how to fold the nets to form cubes. In some of them the sides overlap so we can infer that the correct nets are: A and D.

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The velocity, acceleration, and speed of the particle are:

velocity vector: v(t) = (-9 sin t) i + (8) j + (9 cos t) k

acceleration vector: a(t) = (-9 cos t) i + 0 j + (-9 sin t) k

speed: |v(t)| = sqrt((-9 sin t)^2 + (8)^2 + (9 cos t)^2)

To find the velocity, acceleration, and speed of the particle with the given position function, we need to differentiate the position function with respect to time.

r(t) = (9 cos t) i + (8t) j + (9 sin t) k

The velocity vector is the first derivative of the position vector with respect to time:

v(t) = r'(t) = (-9 sin t) i + (8) j + (9 cos t) k

The speed is the magnitude of the velocity vector:

|v(t)| = sqrt((-9 sin t)^2 + (8)^2 + (9 cos t)^2)

The acceleration vector is the second derivative of the position vector with respect to time:

a(t) = r''(t) = (-9 cos t) i + 0 j + (-9 sin t) k

Therefore, the velocity, acceleration, and speed of the particle are:

velocity vector: v(t) = (-9 sin t) i + (8) j + (9 cos t) k

acceleration vector: a(t) = (-9 cos t) i + 0 j + (-9 sin t) k

speed: |v(t)| = sqrt((-9 sin t)^2 + (8)^2 + (9 cos t)^2)

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Answer:

A story presented as a Play

Step-by-step explanation:

They are adapting a story to a play. They are changing the story to a play and they are getting used to the play so this means it is adapting. Therefore the answer is A story presented as a play.

Answer:

A story presented as a play

The given expression is a linear monomial since there is only one term.

A monomial in mathematics is essentially a polynomial with only one component. There are two possible meanings of a monomial: A monomial, also known as a power product, is a product of variables, potentially with repetitions, and powers of variables with nonnegative integer exponents.

Algebraic formulas called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can perform arithmetic procedures like addition, subtraction, multiplication, and positive integer exponents but not division by variables.

The Greek words "polynomial" and "nominal" are the origins of the word polynomial, which is translated as "many terms" when combined. There is no limit to the number of elements that can exist in a polynomial. In this essay, we will study the degrees, terms, types, properties, and polynomial functions.

In the given expression, -9m, there is only 1 term and the exponent of the variable x is also 1. Hence, the answer is option D) Linear monomial.

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Question: Which of the following terms describes the -9m?

A) linear trinomial

B) constant binomial

C) quartic trinomial

D) linear monomial

Answer:

C) 3x=54

Step-by-step explanation:

Angle ABD is a straight angle, which means it measures 180 degrees.

Angles ABC & CBD are linear pairs. (The two of them add up to 180°)

ABD is a right angle (90 degrees)

The straight angle (180) minus the right angle (90) equals 90 degrees.

x+2x+2x=90°

Combine like terms

5x=90°

divide by 5 on both sides

x=18

18×3=54

C

Hope this helps :-)

To find the general solution to the differential equation y'' + 25y = 3 sec 5t. This is a standard second-order linear homogeneous differential equation with constant coefficients, and its characteristic equation is r^2 + 25 = 0.

Next, we assume that the particular solution to the non-homogeneous equation is of the form yp(t) = u1(t)cos(5t) + u2(t)sin(5t), where u1(t) and u2(t) are unknown functions to be determined. We then differentiate this expression twice to obtain yp''(t) + 25yp(t) = (-25u1(t) + 10u2'(t))cos(5t) + (10u1'(t) - 25u2(t))sin(5t).

We want this expression to be equal to 3sec(5t), so we set u1'(t)sin(5t) - u2'(t)cos(5t) = 0 (to eliminate the sine and cosine terms) and u1'(t)cos(5t) + u2'(t)sin(5t) = 3sec(5t)/10 (to match the coefficient of sec(5t)). Solving this system of equations gives u1'(t) = (3/10)sec(5t)sin(5t) and u2'(t) = -(3/10)sec(5t)cos(5t), which can be integrated to obtain u1(t) = (3/50)ln|sec(5t) + tan(5t)| - (3/250)c1 and u2(t) = (3/50)ln|sec(5t) + tan(5t)| - (3/250)c2, where c1 and c2 are constants of integration.

Therefore, the general solution to the non-homogeneous equation is y(t) = yh(t) + yp(t) = c1cos(5t) + c2sin(5t) + (3/50)ln|sec(5t) + tan(5t)|, where c1 and c2 are arbitrary constants.
To find a general solution to the differential equation using the method of variation of parameters, for the given equation y'' + 25y = 3 sec(5t), the general solution is y(t) = C1cos(5t) + C2sin(5t) + (1/25)∫[sec(5t)cos(5t)]dt, where C1 and C2 are constants.

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Answer:

3

Step-by-step explanation:

speed is distance divided by time

Answer:

20 minutes

Step-by-step explanation:

The required distance between the two cities is 684.1 miles.

Arc is the measure of the angle on the circumference of a circle.
Length of an Arc = θ × (π/180) × r

Here,
San Francisco, California 37° 47' 36" N
Seattle, Washington        47° 37' 18" N

Differences in latitude,
Seattle, Washington         47° 37' 18" N
San Francisco, California -37° 47' 36" N
                                    =  9°  49'  42"

Now converting all in degrees
Difference = 9° + 49 / 60 + 42/3600
Difference = 9 + 0.82 + 0.012
Difference = 9.832
Difference = 9.8°
Now,
the arc between two cities  = 9.8 * π / 180 * 4000
                                          =  684.1 miles

Thus, The required distance between the two cities is 684.1 miles.

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Answer:

86.4m/s as 2.4^(2)=5.76

5.76x15=86.4

▪︎Side 15 cm, 18 cm and x cm form a right angle triangle.

We know that :

\( =\tt {hypotenuse}^{2} = {leg}^{2} + {leg}^{2} \)

Which means :

\( =\tt {15}^{2} + {x}^{2} = {18}^{2} \)

\( =\tt 225 + {x}^{2} = 324\)

\( =\tt {x}^{2} = 324 - 225\)

\( = \tt {x}^{2} = 99\)

\(\color{plum} =\tt x = 9.9 \: cm\)

Thus, x (radius) = 9.9 cm

We know that :

\(\color{hotpink}\tt \: Surface \: area \: of \: cone \color{plum}=\pi r(r + \sqrt{ {h}^{2} + {r}^{2} } \)

Then, the surface area of this cone :

\( = \tt3.14 \times 9.9 \times( 9.9 + \sqrt{ {15}^{2} + {9.9}^{2} } )\)

\( =\tt 3.14 \times 9.9 \times( 9.9 + \sqrt{323.01} )\)

\( =\tt 3.14 \times 9.9 \times (9.9 + 18)\)

\( =\tt 3.14 \times 9.9 \times 27.9\)

\( = \tt31.09 \times 27.9\)

\(\color{plum} =\tt\bold{ 867.4 \: cm}\)

Therefore, the surface area of this cone = 867.4 cm

Answer:

RS = 18 units

Step-by-step explanation:

the 2 red strokes through RM and MS indicate they are congruent, that is

RM = MS = 9 , then

RS = RM + MS = 9 + 9 = 18 units

Answer:

x= -6/5

Step-by-step explanation:

-2x=3x +6

collect like terms

-6=3x+2x

-6=5x

x= -6/5

Answer: x= -6/5 make that a fraction

decimal form: x= -1.2

mixed number form: x= - 1 1/5, 1 is the whole number

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

A graphical plot with sales on the Y axis and time on the X axis is a:

a. Scatter diagram.

Using a single variable on each axis, the scatter diagram plots pairings of numerical data in an effort to identify any relationships between them. A line or curve will be formed by the points if the variables are correlated. The points will hug the line closer the more highly correlated the data is. You may also visualise the strength of any relationship. If the researcher believes there may be a correlation, a line of greatest fit can also be drawn on the graph.

Data points are shown on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another.

Thus, correct option: a

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Answer: The range of the function is all real numbers less than or equal to 9

Step-by-step explanation:

A z-score represents the number of standard deviations a data point is away from the mean. A score that is 2.5 standard deviations below the mean would have a z-score of -2.5 that is option D.

A z-score is a statistical measure that indicates how many standard deviations a particular data point is away from the mean of a distribution. It is calculated using the formula:

z = (x - μ) / σ

Where:

z is the z-score,

x is the value of the data point,

μ is the mean of the distribution, and

σ is the standard deviation of the distribution.

If a score is 2.5 standard deviations below the mean, it means that the value of x is 2.5 times the value of σ below the mean. In other words, it is located in the left tail of the distribution.

Since the z-score represents the number of standard deviations away from the mean, a score that is 2.5 standard deviations below the mean would have a z-score of -2.5. The negative sign indicates that the score is below the mean.

So, if we substitute the values into the z-score formula:

z = (x - μ) / σ

-2.5 = (x - μ) / σ

This equation represents the z-score being -2.5, indicating that the score is 2.5 standard deviations below the mean.

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The conjugate base of the weak acid hc2h3o2 (acetic acid) can be determined by removing a proton (H+) from the acid molecule. The formula for the conjugate base is C2H3O2- (acetate ion).

The formula for acetic acid (hc2h3o2) suggests that it consists of the elements hydrogen (H), carbon (C), and oxygen (O). To determine the formula of its conjugate base, we remove a proton (H+) from the acid molecule. Removing a proton results in the formation of an anion, which has a negative charge to maintain overall charge neutrality.

The removal of a proton from hc2h3o2 leads to the formation of the acetate ion, which has a formula of C2H3O2-. The C2H3O2- ion is referred to as the conjugate base of acetic acid.

In summary, the formula for the conjugate base of the weak acid hc2h3o2 (acetic acid) is C2H3O2- (acetate ion).

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Answer:

Well for the answers I believe

a. 5/32

b. 15

c. 16/21

d. 81/8

Step-by-step explanation:

For a. 5/8 divided by 4, I multiplied 5/8 times 1/4 to get 5/32

For b. 5 divided by 1/3, I multiplied 5 by 3 to get 15

For c. 1 7/9 divided by 2 1/3, I first made them into inproper fractions which is 16/9 divided by 7/3. Afterwards I wrote 16/9 multiply by 3/7... simplify that and I got 16/21

For d. 4 1/2 multiplied by 2 1/4, I turned them into improper fractions, multiplied and got 81/8

A, Time (pages)

Explanation

Step 1

define

independent variable= reading the page

dependent variable=time needed it to complete it

Hence,

the time needed it for complete the task depend of the page,then

I hope this helps you

Given:

The expressions are:

6. \(\dfrac{1}{4}+\dfrac{2}{4}=\)

7. \(\dfrac{1}{2}+\dfrac{7}{10}=\)

8. \(4\dfrac{9}{11}+7\dfrac{4}{11}=\)

9. \(2\dfrac{1}{4}+2\dfrac{3}{4}=\)

10. \(2\dfrac{1}{2}+3\dfrac{2}{4}=\)

To find:

The simplified form after addition.

Solution:

6. We have,

\(\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{1+2}{4}\)

\(\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}\)

7. We have,

\(\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{5+7}{10}\)

\(\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{12}{10}\)

\(\dfrac{1}{2}+\dfrac{7}{10}=\dfrac{6}{5}\)

8. We have,

\(4\dfrac{9}{11}+7\dfrac{4}{11}=\dfrac{53}{11}+\dfrac{81}{11}\)

\(4\dfrac{9}{11}+7\dfrac{4}{11}=\dfrac{53+81}{11}\)

\(4\dfrac{9}{11}+7\dfrac{4}{11}=\dfrac{134}{11}\)

9. We have,

\(2\dfrac{1}{4}+2\dfrac{3}{4}=\dfrac{9}{4}+\dfrac{11}{4}\)

\(2\dfrac{1}{4}+2\dfrac{3}{4}=\dfrac{9+11}{4}\)

\(2\dfrac{1}{4}+2\dfrac{3}{4}=\dfrac{20}{4}\)

\(2\dfrac{1}{4}+2\dfrac{3}{4}=5\)

10. We have,

\(2\dfrac{1}{2}+3\dfrac{2}{4}=\dfrac{5}{2}+\dfrac{14}{4}\)

\(2\dfrac{1}{2}+3\dfrac{2}{4}=\dfrac{10+14}{4}\)

\(2\dfrac{1}{2}+3\dfrac{2}{4}=\dfrac{24}{4}\)

\(2\dfrac{1}{2}+3\dfrac{2}{4}=6\)

Answer:

18%

Step-by-step explanation:

To find percent change subtract.

big number - small number

then divide by the original number.

350 - 287 = 63

63/350 = 0.18

change to a percent by moving the decimal two place right.

0.18 = 18%

Answer:

a) 30.24%

b) 15.12%

c) 0.09%

Step-by-step explanation:

a) 5 digit zip code with no repeated digits

Firstly, there are 10 digits. After each digit in the zip code, one is used up.

The total number of zip codes possible is 10^5, or 100,000

The number of zip codes with no repeated digits can be found with:

(10-0)*(10-1)*(10-2)*(10-3)*(10-4)

which equals

10 * 9 * 8 * 7 * 6 = 30240

30240 divided by 100,000 is 0.3024

b) same process, but the numbers used are only 1-9.

(9-0)*(9-1)*(9-2)*(9-3)*(9-4) = 9 * 8 * 7 * 6 * 5 = 15120

15120 divided by 100,000 is 0.1512

c) back to using 1-10, but with a 1/10 chance for three digits

(10-0)*(10-1)*(1)*(1)*(1) = 8 * 9 = 90

90 divided by 100,000 is 0.0009

The probability of a 5-digit zipcode having no repeated digits is 0.3024, no 0's is 0.59049, and exactly two 1's and two 3's is 0.0012.

The probability of a 5-digit zipcode having no repeated digits, no 0's, and exactly two 1's and two 3's can be calculated using the formula for probability, which is P(event) = a number of favorable outcomes/number of possible outcomes.

(a) No repeated digits:

The number of favorable outcomes is 10*9*8*7*6 since there are 10 choices for the first digit, 9 for the second, 8 for the third, 7 for the fourth, and 6 for the fifth.

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (10*9*8*7*6)/(10^5) = 0.3024.

(b) No 0's:

The number of favorable outcomes is 9*9*9*9*9 since there are 9 choices for each of the 5 digits (excluding 0).

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (9^5)/(10^5) = 0.59049.

(c) Exactly two 1's and two 3's:

The number of favorable outcomes is 5*4*3*2*1 since there are 5 choices for the first 1, 4 for the second 1, 3 for the first 3, 2 for the second 3, and 1 for the remaining digit.

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (5*4*3*2*1)/(10^5) = 0.0012.

Therefore, the probability is 0.0012.

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If the man's age was 6 times as old as his daughter and will be twice after 18 years then the present age of daughter is 7 and her father is 32.

Given that age of a man was 6 times as old as his daughter and in 18 years, he will be twice as old as his daughter.

We are required to find the present ages of both daughter and her father.

Let the age of daughter before 2 years be x.

The equations are as under:

In this way the father's age was 6x.

Present age of daughter be x+2,

Present age of her father be 6x+2.

After 18 years the age of daughter be x+2+18=x+20

After 18 years the age of her father be 6x+2+18=6x+20

It is also given that the age of her father will be 2 times the age of the daughter. So, 2(x+20)=6x+20.

2x+40=6x+20

40-20=6x-2x

20=4x

x=5

Present age of daughter=5+2=7 years.

Present age of her father=6*5+2=30+2=32 years.

Hence if the man's age was 6 times as old as his daughter and will be twice after 18 years then the present age of daughter is 7 and her father is 32.

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Subtraction property of equality

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

Reason:

We subtract 18 from both sides to go from 4x+18 = 78 to 4x = 60

So we use the aptly named subtraction property of equality.

In general that rule is if a = b, then a-c = b-c

Answer:

B. 2

Hope this helps!

Step-by-step explanation:

The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10. 1 x 10 = 10, so 1 and 10 are also factors of 10.