PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

9514 1404 393

Answer:

  x = {5.4, 9.6}

Step-by-step explanation:

Adding and subtracting the square of half the x-coefficient can help you complete the square.

  (x^2 -15x +7.5^2) +52 -7.5^2 = 0

  (x -7.5)^2 = 4.25 . . . . . . add the opposite of the constant; write as a square

  x = 7.5 ±√4.25 . . . . . . . square root, add 7.5

  x ∈ {5.4, 9.6}

Answer:

Step-by-step explanation:

56 - 15 = 41min

hope it helps...!!!

Answer:

41 minutes

Step-by-step explanation:

The length of time from 8:15 PM to 8:56 PM is 41 minutes (56-15 = 41)

Answer:

the answer is a

Step-by-step explanation:

The given statement is true.

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

More can be learned about the power of a power property at brainly.com/question/11975096

#SPJ1

Answer:

85 X 100,000 = 85X

85x = 8500000.

The company earned $8,500,000

Step-by-step explanation:

PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

For similar question on Principal amount.

https://brainly.com/question/29430095

#SPJ11

Answer:

y intercept when x is 0, so the answer is 3

Answer:

B. 24/5

Step-by-step explanation:

QR = 10

QT = 6

HI = 8

Quadrilateral QRST ~ quadrilateral HIJK, therefore, their corresponding side lengths would be proportional to each other.

This:

QR/HI = QT/HK

Plug in the values

10/8 = 6/HI

Cross multiply

10*HI = 8*6

10*HI = 48

Divide both sides by 10

HI = 48/10

HI = 24/5

Answer:

B. 24/5

Step-by-step explanation:

Hope this helps

Hi

it's means multiplicate your number by 40/100 ie : 0.4

have a try. Math is all about method and practice.

Answer: x = 1

Step-by-step explanation:

(any line with an undefined slope is a vertical line)

x = 1 has an undefined slope and passes through (1,8)

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To know more about Confidence interval visit: https://brainly.com/question/29680703

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

To know more about line, visit:

https://brainly.com/question/30003330

#SPJ1

Answer:

the answer would be A

Answer:

\(\frac{4}7\)

Step-by-step explanation:

Just as a reminder, to find the ratio of 2 numbers, you divide the first by the second, and to divide 2 fractions, you multiply the dividend by the reciprocal of the divisor.

In this case, that would be:

\(\frac{\frac{4}{5}}{\frac{7}{5}}\)

\(= \frac{4}{5} \cdot\frac{5}{7}\)

=\(\frac{4}7\)

I hope this helped you.

Answer:

D: {-2, 0, 2}

R: {-1, 1, 3

The expression sin²x/(1+cosx) can be simplified to 1-cosθ

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Recall that sin²x = 1 - cos²x. Thus, we have:

sin²x/(1+cosx) = (1-cos²x) / (1+cosx)

                      = (1²-cos²x) / (1+cosx)

                      = (1+cosx)(1-cosx) / (1+cosx)

                      = 1-cosx

                      = 1-cosθ        (If x = θ)

Note: Using difference of two squares, 1²-cos²x = (1+cosx)(1-cosx)

Therefore, the expression sin²x/(1+cosx) can be simplified to 1-cosθ

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

Answer:

$41,330

Step-by-step explanation:

To find the cost to asphalt a circular path, first, calculate the area of the circular path:

Area of circular path = area of big circle (A1) - Area of small circle (A2)

Area of circle = πr²

Radius of big circle (R) = 145 ft

Area of big circle (A1) = 3.14*145²

= 3.14*21,025

A1 = 66,018.5 ft²

Radius of small circle (r) = 80ft

Area of small circle (A2) = 3.14*80²

= 3.14*6,400

A2 = 20,096 ft²

=>Area of path =  66,018.5 - 20,096 = 45,922.5 ft²

If 100ft = $90

45,922.5 ft = x

Cross multiply and find x (cost to asphalt the circular path)

100*x = 45,922.5*90

100x = 4,133,025

Divide both sides by 100

x = 4,133,025/100

x = $41,330.25

To the nearest dollar, $41,330 is needed to asphalt the circular path

As she have 3⅞ pounds of soil, she doesn't have enough soil to fill the flowerpot.

To create a mixed fraction, a suitable fraction and a whole number must be combined. Usually, it denotes a value between 0 and 1. A mixed fraction is one that contains both a whole number and a fraction. One example of a mixed fraction is 1(1/3), where 1 is a whole number and 1/3 is a fraction.

Denise need 4 pounds of soil

By adding the mixed fraction we will know if its enough or not

\($=1\frac{3}{4} + 2 \frac{1}{8}\)

\($=\frac{7}{4} + \frac{17}{8}\)

\($=\frac{14}{8} + \frac{17}{8}\)

\($=\frac{14+17}{8}\)

\(= \dfrac{31}{8}\)

\(=3 \dfrac{7}{8}\)

Thus, As she have 3⅞ pounds of soil, she doesn't have enough soil to fill the flowerpot.

Learn more about mixed fraction

https://brainly.com/question/29264210

#SPJ1

The statement that describes the distribution based on the given information is:

A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.

The graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.

The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.

Learn more about standard deviation at https://brainly.com/question/475676

#SPJ1

Answer: Let's first convert Cheryl's walking speed to meters per minute. Since she takes 80 steps per minute and each step is 81 cm, her walking speed is:

80 steps/min x 81 cm/step = 6480 cm/min

To convert this to meters per minute, we can divide by 100:

6480 cm/min ÷ 100 cm/m = 64.8 m/min

Now, let's find out the distance Cheryl walks to school. Since she walks for 12 minutes at a speed of 64.8 m/min, the distance she covers is:

distance = speed x time = 64.8 m/min x 12 min = 777.6 m

Next, let's find out how many steps Diane takes per minute on average:

90 steps/min

Since each of Diane's steps is 72 cm long, her walking speed is:

90 steps/min x 72 cm/step = 6480 cm/min

To convert this to meters per minute, we can divide by 100:

6480 cm/min ÷ 100 cm/m = 64.8 m/min

So Diane's walking speed is the same as Cheryl's. To find out how long it takes Diane to walk to school, we can use the formula:

distance = speed x time

Since Diane and Cheryl walked the same distance, we can use the distance we found for Cheryl:

777.6 m = 64.8 m/min x time

Simplifying this equation, we get:

time = 12 minutes

Therefore, Diane takes 12 minutes to walk to school.

Answer:

  12 min

Step-by-step explanation:

You want to know how long it takes Diane to walk to school if she takes 90 steps of 72 cm per minute, while Cherly takes 80 steps of 81 cm per minute and traverses the distance in 12 minutes.

The speed of each girl is the product of the number of steps per minute and the length of the step:

  Cheryl: (80 step/min)(81 cm) = 6480 cm/min

  Diane: (90 step/min)(72 cm) = 6480 cm/min

Both girls travel at the same speed, so will take the same amount of time to get to school. It takes Diane 12 minutes to walk to school.

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

But the zeros of the polynomial are at x=1 and x=3i.

But one of the zeros above is a complex number. So, we have;

Thus, the missing zero of the polynomial is negative 3i (-3i).

(b) Thus, the polynomial in a factored form is;

(c) In standard form, we have;

We expand further, we have;

Answer:

1023 inches

Step-by-step explanation:

Area = (1/2)(a)(b)(sinA)

Area = (1/2) (30) (89) (sin 130)

Area = 1022.669332 or 1023

The area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.

To find the area of triangle VWX, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, we need to determine the base and height of triangle VWX.

The length of the base, WX, is given as x = 30 inches.

To find the height, we can use the formula for the area of a triangle:

Area = (1/2) * WX * VW * sin(W)

Given that ∠W = 130°, we can find the sine of the angle using a scientific calculator or trigonometric tables. Let's assume the sine of 130° is approximately 0.766.

Now, we have all the values we need to calculate the area:

Area = (1/2) * 30 * 89 * 0.766 ≈ 1023 square inches

Therefore, the area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.

To know more about triangle:

https://brainly.com/question/2773823

#SPJ6

Answer: C

Step-by-step explanation:

The X value repeats itself

Step-by-step explanation: In order for a function not to be a relation,

each x-coordinate must correspond to more than one y-coordinate.

Notice that in third relation, the 1 pairs with a 3

in one case  and it pairs with a 7 in the other case.

Since each x-coordinate pairs with more than one y-coordinate,

this relation is not a function but the other ones are functions.