What is a number that when you multiply it by 4 and subtract 7 from the product, you get 25?

Answer:

The 8-pack is a better value

Step-by-step explanation:

Third option is correct.The midpoint of WZ of WXYZ with the vertices W(0, 0), X(h, 0), Y(h,b), and Z(0, b) is (0, b/2).

To find the midpoint of segment WZ, we need to average the x-coordinates and the y-coordinates of the endpoints.

The coordinates of point W are (0, 0), and the coordinates of point Z are (0, b).

To find the x-coordinate of the midpoint, we average the x-coordinates of W and Z:

(x-coordinate of W + x-coordinate of Z) / 2 = (0 + 0) / 2 = 0 / 2 = 0

To find the y-coordinate of the midpoint, we average the y-coordinates of W and Z:

(y-coordinate of W + y-coordinate of Z) / 2 = (0 + b) / 2 = b / 2

Therefore, the midpoint of segment WZ is (0, b/2).

So, the correct answer is (0, b/2).

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Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Answer:

1/720

Step-by-step explanation:

there is only one way to spell tiger but there's 720 outcomes of the other words you can make

The probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the letters of TIGERS are given at random.

All the six letters are different and there exist 6! permutations for them. (as for n unique things, there exist n! possible arrangements of theirs).

So, the posters can be distributed in 6! = 6×5×4×3×2×1 = 720 ways.

Out of those 720 ways, there is only one correct way to spell TIGERS correctly.

Thus, we get:

P(event that correct order of posters is distributed) = \(\dfrac{1}{720} \approx 0.00139\)

Thus, the probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.

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The average value of the given function on the given interval is = 7/2 and 6.25 respectively

What is Average?

The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

(a) f(x) = x2 – 8x + 10

f = 1/b-a \(\int\limits^b_a {f(n)} \, dx\)

f = 1/5-2 \(\int\limits^5_2 {x^{2} -8x+10} \, dx\)

Here, a=2

b=5

f(x) =x2 – 8x + 10

f = 1/3 (x³/3 - 8x²/2+10x)5/2

f = -25/9 -20/9

f = -45/9

= -5

Mean Value Theorem

If f(x) = continous on (a, b)

If f(x) = differentiable on (a, b)

Then f(c) = f(b) -f(a)/b-a

were c∈ (a,b)

Here, f(c) = f(-5)-f(2)/5-2

f(c) = -5+2/3

f(c) = -1 ......................(1)

Here, f(x) = x²-8x+10

f(c) = c²-8c+10

f(x) = 2c-8...................(2)

equating 1&2

2c -8 = -1

2c = -1 +8

c = 7/2

c∈ (2,5)

(b) f(x) = Vx on [1, 16]

f = \(\sqrt{x}\) on (1 ,16)

f= 1/b-a \(\int\limits^b_a {f(n)} \, dx\)

f = 1/16-1 \(\int\limits^6_1 {\sqrt{x} } \, dx\)

f = ( 2x (3/2)/45)₁¹⁶

f = 128/45-2/45

f = 126/45

= 14/5

Mean Value Theorem

f(x) = \(\sqrt{x}\)

f(c) =\(\sqrt{c}\)

f(c) = 1/2\(\sqrt{c}\)....................(1)

we know that

f(c) = f(b)-f(a)/b-a

f(c) = f(16)-f(1)/16-1

f(c) = \(\sqrt{16}\) -\(\sqrt{1}\)/15

f(c) = 4-1/15

= 3/15.....................(2)

Equating (1) and (2)

1/2\(\sqrt{c}\) = 3/15

2\(\sqrt{c}\) = 15/3

2\(\sqrt{c}\) = 5

\(\sqrt{c}\) = 5/2

c = (5/2)²

=25/4

c≅ 6.25

6.25 = (1 ,16)

The average value of the given function on the given interval is = 7/2 and 6.25 respectively

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Answer:

you got that

Step-by-step explanation:

wet wet wet

Answer:

{ x : x > 2 }

Step-by-step explanation:

4x - 3 + 6x > 5x + 7 , that is

10x - 3 > 5x + 7 ( subtract 5x from both sides )

5x - 3 > 7 ( add 3 to both sides )

5x > 10 ( divide both sides by 5 )

x > 2

Answer:

he bought 5 pounds of each Candy

Step-by-step explanation:

we need to form two simultaneous equations and solve to get the number of pounds of each Candy that was bought

let us he bought X and y types of candies

X + y = 10 ..... equation 1

let's form equation for the total amount

2.8x + 3.5y = 31.5..... equation 2

we solve the two equations by substitution method

in equation 1: X = 10- y

substitute this in equation 2

2.8(10- y) + 3.5y = 31.5

28 - 2.8y + 3.5y = 31.5

0.7y = 3.5

y = 5 lb

X = 10 - 5

X = 5 lb

The solution of the quadratic equation is obtained as -1 ± √7. Option A and B.

We know that a quadratic equation has to do with the kind of equation that have the general form; y = ax^2 + bx + c. This implies that we are going to have the highest power of the variable to be x.

As such, we have the equation that have been written as; x^2 + 2x – 6 = 0. We are to find the roots of the quadratic equation which are the values for x. When we solve the quadratic equation we have;

-1 ± √7

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Using a calculator, the quadratic regression equation for the data is given by:

h(t) = -15.9752t² + 52.8875t + 2.5536.

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (t, h(t)) are given as follows:

(0, 2.5), (0.6, 28.56), (1.2, 43.10), (1.8, 46.12), (2.4, 37.12), (3, 17.6).

Inserting these points into the calculator, the quadratic regression equation for the data is given by:

h(t) = -15.9752t² + 52.8875t + 2.5536.

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Answer: Let's call the present age of the son x and the present age of the father y.

We know that y = 3x and that six years ago, the sum of their ages was 45.

So, we can write the equation:

x + (y-6) = 45

x + (3x-6) = 45

4x = 51

x = 12.75

The present age of the son is 12.75 years.

Step-by-step explanation:

Answer:

14 for the bottom side as it is a right triangle

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

Explanation:

Assuming this is a right triangle, we can use the tangent trig ratio

tan(angle) = opposite/adjacent

tan(53) = 19/x

x*tan(53) = 19

x = 19/tan(53)

x = 14.3175 approximately

x = 14 when rounded to the nearest whole number

Make sure your calculator is in degree mode. One way to check is to compute tan(45) and you should get the result 1.

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

\(2\)

Step-by-step explanation:

Given:

\(-2(1-4x)=3x+8\)

Let's distribute the parenthesis

\(-2+8x=3x+8\)

Let's subtract \(-3x\) from both sides

\(-2+5x=8\)

Let's add \(2\) to both sides

\(5x=10\)

Now, let's divide both sides by \(5\) to get \(x\) alone

\(x=2\)

Hope this is helpful

Step-by-step explanation:

How to solve your problem

−2(1−4)=3+8

-2(1-4x)=3x+8−2(1−4x)=3x+8

Solve

1)

Rearrange terms

−2(1−4)=3+8

-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8

−2(−4+1)=3+8

-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8

2)

Distribute

−2(−4+1)=3+8

{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8

8−2=3+8

{\color{#c92786}{8x-2}}=3x+88x−2=3x+8

3)

Add 

2

22

 to both sides of the equation

8−2=3+8

8x-2=3x+88x−2=3x+8

8−2+2=3+8+2

8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2

4)

Simplify

Add the numbers

Add the numbers

8=3+10

8x=3x+108x=3x+10

5)

Subtract 

3

3x3x

 from both sides of the equation

8=3+10

8x=3x+108x=3x+10

8−3=3+10−3

8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x

6)

Simplify

Combine like terms

Combine like terms

5=10

5x=105x=10

7)

Divide both sides of the equation by the same term

5=10

5x=105x=10

55=105

\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510

8)

Simplify

Cancel terms that are in both the numerator and denominator

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Answer:

The width of the school campus is:

\( \boxed{ \underline{ \rm{630 \: feet}}}\)

Step-by-step explanation:

Scale = 1.5 inches : 10 feet

That means, 1.5 inches is equals to 10 feet in real.

Then for 1 inch:

⇛ 10 / 1.5 feet

⇛ 10/3 feet

We need to find for 94.5 inches,

⇛ 94.5 inches = 94.5 × 2/3 feet

⇛ 94.5 inches = 63 feet

Thus, the width of the school campus is 63 feet.

AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Note, the figure is a parallelogram

Some properties of a parallelogram are:

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

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Answer:

825,000

you move the decimal to the right 5 times.

Answer:

1 [unit²].

Step-by-step explanation:

try the option, all the details are in the attachment; change the design according to local requirements.

Answer:

Step-by-step explanation:

There were 4 days when sales were 350 or less out of 6 days so

100(4/6)=400/6=\(66\frac{2}{3}\% $ or rounded to 66.67% $ \)

The percentage of the time did the gift shop have sales of $350 or less should be considered as the 66.67%.

Sinceas we can see that there are total 6 things out of which 4 should be within 350 or less than 350

So here the percentage be like

\(= 4\div 6\)

= 66.67%

Hence, The percentage of the time did the gift shop have sales of $350 or less should be considered as the 66.67%.

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Multiply the 3 dimensions to find the volume, then find 4/5 of the volume by multiplying 4/5 by the volume.

12x5=60

60x20=1,200

I'm gunna convert the 4/5 to decimal to make it easier.

1,200x0.8=960

So there is a total liquid volume of 960(I'm assuming it's ounces).

---

sorry if this doesn't help

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

the factors for 28 are 1,2,4,7,14 and 28

Answer:

uhhhhhhh not possible to much math

Answer: 0.0668

Step-by-step explanation:

Given the following :

Mean (m) Cost = RS385

Standard deviation (s) = RS110

Assume a normal distribution, Probability that domestic airfare is RS550 or more?

P(x > 550)

Find the z - score

Z - score = (x - m) / s

Where x = 550

Z = (550 - 385) / 110

Z = 165 / 110 = 1.5

P(Z > 1.5) = 1 - P(Z ≤1.5)

Using the z table : 1.5 = 0.9332

Therefore,

1 - P(Z ≤1.5) = 1 - 0.9332 = 0.0668

P(x > 550) = 0.0668

Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.

It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.