You are designing a triangular pennant for your school. If you have only 117 square inches of fabric and you want the pennant, when suspended from its base, to hang down 18 inches, what must the length of the
base be?

\(A=P(1+\frac{r}{n})^{nt}\)

P = $1,500

r = 0.06

n = 365 times per year

t = varies

so:  \(A(t)=\$1500(1+\frac{0.06}{365})^{365t}=\$1500(1.00016438)^{365t}\)

a) A(5) = \(\$1500(1.00016438)^{365*5} = \$2,024.73\)

b) A(10) = \(\$1500(1.00016438)^{365*10} = \$2,733.01\)

c) 18 months = 1.5 years, so:

   A(1.5) = \(\$1500(1.00016438)^{365*1.5} = \$1,641.25\)

Answer:

m<3 = 66°

Step-by-step explanation:

<3 is an angle with its vertex inside the circle shown in the diagram. This, it's an internal angle.

The measure of an internal angle is equal to half the sum of the measure of the arcs intercepted.

Thus, the equation that shows relationship between <3 and arc WX and arc YZ is shown below:

m<3 = ½(40 + 92)

m<3 = ½(132)

m<3 = 66°

The measure of m<3 = 66°

Since  arc WX = 40' and arc Y Z = 92

So we know that

The measure of an internal angle should be equivalent to half the sum of the measure of the arcs intercepted.

So based on this

m<3 =0.50 (40 + 92)

m<3 = 0.50(132)

m<3 = 66°

hence, The measure of m<3 = 66°

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The equation that represents the graph of a line passing through the points (0, -1) and (1, -4) is y = -3x - 1.

What is graph?

A graph is a visual representation of data or information that shows the relationship between different variables or quantities. Graphs can take many forms, including bar graphs, line graphs, scatterplots, and pie charts, among others. They are widely used in many fields, including mathematics, science, economics, and social sciences, to help visualize and analyze data, identify patterns, and communicate findings to others in a clear and concise manner. By representing complex information in a simple, easy-to-understand format, graphs can provide valuable insights and help us make informed decisions.

The equation that represents the graph of a line passing through the points (0,-1) and (1,-4) is:

y = -3x - 1

To find the equation of a line given two points, you can use the slope-intercept form:

y - y1 = m(x - x1)

where m is the slope of the line and (x1, y1) is one of the given points.

First, we can find the slope of the line:

m = (y2 - y1) / (x2 - x1)

= (-4 - (-1)) / (1 - 0)

= -3

Next, we can choose one of the given points and substitute its coordinates and the slope into the slope-intercept form:

y - (-1) = -3(x - 0)

y + 1 = -3x

y = -3x - 1

Therefore, the equation that represents the graph is y = -3x - 1.

Option A, y = -1/3x - 1, has a slope of -1/3, which is not the slope of the line passing through the given points.

Option C, y = -1/3x + 1/3, also has an incorrect slope of -1/3, and it also does not pass through the point (0,-1).

Option D, y = -3x + 1/3, has the correct slope of -3, but it does not pass through the point (0,-1).

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Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

Hi there!

Your answer is:

1050 liters per 6 days

Step-by-step explanation:

350liters per 2 days

*3 to determine 6 days

1050 liters per 6 days

Hope this helps

Answer:

1050

Step-by-step explanation:

350 liters per 2 days

to get 6 days you will need to multiple 2 by 3

you need to do that to 350 too

350   x    3 = 1050

your ration is 350:2

make it to

1050:6

let me know if you need more help

Answer:

1 c

2 d

3 a

4 b

5 e

Step-by-step explanation:

scale factor > 1 => expansion

scale factor < 1 => contraction

scale factor = 1 => no change

scale factor is (-) => opposite site

Answer:

Where's the question...

Answer:

a

The sample size is  \(n = 219.2\)

b

The  sample size is  \(n = 537.5\)

Step-by-step explanation:

From the question we are told  that

    The standard deviation is  \(\sigma = 45 \minutes\)

    The  Margin of  Error is  \(E = \pm 5 \ minutes\)

Generally the margin of  error is mathematically represented as

         \(E = z * \frac{\sigma }{\sqrt{n} }\)

Where  n is the sample  size

    So

             \(n = [\frac{z * \sigma }{E} ]^2\)

Now  at  90%  confidence level the z value for the z-table is  

        z =  1.645

So

       \(n = [\frac{1.645 * 45 }{5} ]^2\)

       \(n = 219.2\)

The z-value at 99%  confidence level is  

        \(z = 2.576\)

This is obtained from the z-table  

   So the sample size is  

         \(n = [\frac{2.576 * 45 }{5} ]^2\)

        \(n = 537.5\)

For the 90% confidence interval, the sample size is 219.2 and for the 99% confidence interval, the sample size is 537.5 and this can be determined by using the formula of margin of error.

Given :

The formula of the margin of error can be used in order to determine the sample size is needed if the executive wants to be 90% confident of being correct to within 5 minutes.

\(\rm ME = z\times \dfrac{\sigma}{\sqrt{n} }\)

For the 90% confidence interval, the value of z is 1.645.

Now, substitute the values of all the known terms in the above formula.

\(\rm n=\left(\dfrac{z\times \sigma}{ME}\right)^2\)   --- (1)

\(\rm n=\left(\dfrac{1.645\times 45}{5}\right)^2\)

n = 219.2

Now, for 99% confidence interval, the value of z is 2.576.

Again, substitute the values of all the known terms in the expression (1).

\(\rm n=\left(\dfrac{2.576\times 45}{5}\right)^2\)

n = 537.5

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Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

inequality= 62.5x+8.75<=340

answer x <= 5.3

Step-by-step explanation:

Answer: A

Step-by-step explanation: Ape x

Report that other guy smh... but im not quite too sure but i believe the answer you were looking for was C. The total cost will increase by 4$ every 3 games bowled :D

S={1/15}

1) Solving that expression

4-10x = 3+5x Subtract 4 from both sides

4-4-10x=3-4+5x

-10x =-1+5x Subtract 5x from both sides, to isolate x on the left side

-10x -5x = -1 +5x -5x

-15x=-1 Divide both sides by -15 to get the value of x, not -15x

x=1/15

S={1/15}

The mass of one art book is 0.8 kg, and the mass of one biology book is 0.6 kg

Let's denote the mass of one art book by "a" and the mass of one biology book by "b".

From the given information, we have two equations:

6a + 4b = 7.2 (equation 1)

2a + 3b = 3.4 (equation 2)

We can solve for "a" and "b" by using any method of solving linear equations, such as substitution or elimination.

Here, we'll use elimination method. Multiplying equation 2 by 3 and subtracting it from equation 1 multiplied by 2, we get:

12a + 8b - (6a + 9b) = 14.4 - 10.2

6a - b = 4.2 (equation 3)

Multiplying equation 2 by 2, we get:

4a + 6b = 6.8 (equation 4)

Multiplying equation 3 by 6, we get:

36a - 6b = 25.2 (equation 5)

Adding equations 4 and 5, we get:

40a = 32

a = 0.8 kg

Substituting this value of "a" in equation 2, we get:

2(0.8) + 3b = 3.4

1.6 + 3b = 3.4

3b = 1.8

b = 0.6 kg

Therefore, the mass of one art book is 0.8 kg, and the mass of one biology book is 0.6 kg.

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Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

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The perimeter of Max's sandbox is 21 feet.

The sum of each length of external sides or boundary of a given figure is called its perimeter. To determine the perimeter of an object, add up the length of its boundaries.

Given the dimension of the Ohio park, then we have to determine the representative fraction of Max's sandbox.

Representative fraction = 10/ 25

                                       = 2/ 5

So that;

x = 15 * 2/5

  = 6 ft

y = 12.5 *2/5

  = 5 ft

The perimeter of Max's sandbox = 10 + y + x

                                                      = 10 + 5 + 6

                                                      = 21 ft

The perimeter of Max's sandbox is 21 feet.

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The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

b)3

16 + 12 = 28

31 - 28 = 3

b/c 5 people play both games we wont add them

Since trapezoid ABCD is inscribed in circle O, we know that angles A and D are right angles. We also know that the measure of angle ABD is equal to half the measure of arc AC. Since DC is a diameter of the circle, arc AC is a semicircle and thus has a measure of 180 degrees. Therefore, angle ABD has a measure of 90 degrees.

We also know that the sum of the measures of the angles in a trapezoid is equal to 360 degrees. Therefore, we can set up the following equation:

mAB + mBC + mCD + mDA = 360

Substituting the given values, we get:

80 + mBC + 90 + 90 = 360

Simplifying, we get:

mBC = 100

Therefore, mBC is equal to 100 degrees.

Answer:

h = sqrt (4w/P)

Step-by-step explanation:

P = 4w/h^2

h^2 = 4w/P

h = sqrt (4w/P)

Answer:

D

Step-by-step explanation:

a quartic function is a polynomial of the 4th degree. that means that in the function expression the highest exponent of a term of x is 4.

y = ax⁴ + bx³ + cx² + dx + e

with a not 0.

the degree of a polynomial expression defines also how many zeroes (x values that create y = 0, that means points where the graph intersects the x-axis) there are.

a function has as many zeroes as the degree of the polynomial.

so, we are looking for potentially 4 zeroes.

the only graph that fulfills that is D.

the left "touch" of the graph on the x-axis counts for 2 (but equal) zeroes.

you can always test by virtually shifting the graph up or down and see, what are the max. x-axis intersections you can create.

if shifting D down a little bit you see, that this left "touch" turns into 2 intersections.

the same would apply for a "bend" or turn in the graph that does not even touch the x-axis.

if the original graph has not enough real x-axis intersections, it means that the remaining zeroes are then "imaginary" complex numbers (based on the sqrt(-1) = i).

a polynomial of the nth degree, must have n zeroes.

as a consequence it must have n-1 turns (even if the corresponding curve segments don't intersect with the x-axis in the real number space).

Answer:graph d

Step-by-step explanation:

just took the test

Answer:

The answer is z < -8. First of all, you use distributive property to get rid of the brackets. 3(z) = 3z and 3(1) = 3. The left side of the equation is now 3z + 3 + 11. Then, on the other side, -2(z) = -2z and -2(13) = -26. The right side of the equation is now -2z - 26. Then we combine like terms on the left side so we end up with 3z + 14 while the other side is still -2z - 26. We can put all of the z on the left side, so add 2z to both sides and then we have 5z + 14 < -26. We can put all of the “regular” numbers on the right side, so subtract 14 from each side and then we have 5z < -40. Divide each side by 5 and you end up with z < -8!

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 4(-2) = 9

y - 8 = 9

y = 17

y + 4(0) = 9

y + 0 = 9

y = 9

y + 4(4) = 9

y + 16 = 9

y = -7

Find a using the theorem of sinus:

Now with the Pythagoras theorem find b:

Finally, find B knowing that the sum of all internal angles of a triangle is equal to 180°:

Answer:

\(6-(-2)=8\)

Step-by-step explanation:

Solve them all:

\(\frac{-16}{2} = -8\)

\(\bold{6-(-2)=8}\)

\(-2+(-6)=-8\)

\(-2(4)=-8\)

SInce \(\bold{6-(-2)=8}\), that is the one that does not equal the same as the others.

Answer:

time taken 638=jrvb574<^€™