Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1

Answer:

C. x = 5 and y = 10

Step-by-step explanation:

60/12=5

Half the problem is solved:

100/2=50

50/5=10

I hope I helped!

Answer:7.5%

Step-by-step explanation:

decrease the number of visitors from Alec´s website from February to the next month.

The system of equations is:

y = -8x - 4

y = -x + 3

And the solution is (-1, 4).

Remember that a general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

First we can see that one of the equations has an y-intercept of y = 3, then we can write:

y = a*x + 3

And that line also passes through (1, 2), replacing these values we will get:

2 = a*1 + 3

2 - 3 = a

-1 = a

So the line is:

y = -x + 3

The other line has an y-intercept of y = -4

Then we can write:

y = a*x - 4

And that line also passes through (-1, 4), replacing that:

4 = a*-1 - 4

4 = -a - 4

4 + 4 = -a

-8 = a

So that line is:

y = -8x - 4

Then the system of equations is:

y = -8x - 4

y = -x + 3

And the solution is the point where the lines intercept, which is (-1, 4)

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When he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

The length of the side of the base is 90 ft. Its speed is 24 ft/s.

Let x = distance he has run at time t and

D = distance from second base at time t, then speed dx/dt = 24 and we calculate dD/dt where x = 45.

From Pythagorean Theorem,

\(D^{2} =(90-x)^{2} +90^{2}\) ,

differentiating with respect to t

2D*dD/dt = 2 (90 − x) (−1) dx/dt + 0

D*dD/dt = − (90 − x)dx/dt

Now, when x = 45,

D =\(\sqrt{(90-45)^{2}+90^{2} }\)

\(=\sqrt{45^{2}+90^{2} }\)

by substituting D we get,

\(\sqrt{45^{2}+90^{2} }\)dD/dt = − (90 − 45) · 24

dD/dt = −45 · 24/\(\sqrt{45^{2}+90^{2} }\)

= −10.73 ft/s

Hence, when he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

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Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

Answer:

936 dollars

Step-by-step explanation:

I've got the area of the parallelogram and the area is 360 feet.area of parallelogram is equal to based x height then I took the money x the feet then I got 936 dollars hope it helps.

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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Answer:

earplugs

Step-by-step explanation:

Because sound waves absorb most sound, the sound is coming from the earplugs which creates the most sound waves rather than water, tissue paper, and air.

Answer:

Water

Step-by-step explanation:

Answer:

\(6b + 8c \geqslant 96\)

\(b + c \leqslant 15\)

Answer:y= 4x+2

Step-by-step explanation:

Answer:

sequences and series

Step-by-step explanation:

terms to know:

sequence

series

divergent

convergent

infinite seies

arithmetic series

geometric series

ik im late asl but points

The surface area of the prism is 96units²

A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is calculated as:

SA = 2B +pH

where B is the base area and p is the perimeter of the base.

The base area = 1/2 b h

= 1/2 × 4× 3

= 6 units²

The perimeter of the base = 5+4+3

= 12 units

height = 7

Therefore the surface area = 2× 6 + 12 × 7

= 12 + 84

= 96units²

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Answer:

-20

Step-by-step explanation:

First thing you do is set up your equation:

y-17= -37

+17   +17        Next you add 17 to both sides

-------------        Follow your integer rules

y= -20

We can check this by putting it back into the solution

-20-17= -37  Integer Rules

                     You use KCC aka Keep Change Change

= -20+ -17= -37

Answer:

the answer should be 1,310,720

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the rent be x

Discounted rent

Increase applied

Final rent:

We know this is equal to x + 5% = 1.05x, comparing now

Answer:

\(\Large \boxed{\sf 1100}\)

Step-by-step explanation:

Let original rent be x

Discount of $50

\(x-50\)

10% increase

\((x-50) \times 1.1\)

His new rent is 5% greater than his original rent

\((x-50) \times 1.1 = 1.05x\)

Solve for x

\(x=1100\)

Transforming the equation into a quadratic equation, we have:

Y=21

Step-by-step explanation:

Answer:

hello what exactly is the question

Answer:

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

Step-by-step explanation:

Plato sample

We have wrote the coordinates.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

We have

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

b

Step-by-step explanation:

there s 2 angles and one side

The congruence between triangles AEC and BDC is proven by the Side-Side-Side (SSS) congruence relationship, as all three sides of one triangle are congruent to the corresponding sides of the other triangle.

The correct answer is option C.

The relationship that proves why triangles AEC and BDC are congruent is SSS (Side-Side-Side) congruence.

Here's why:

Angle A and angle B are congruent (angle A ≅ angle B): This is given information.

Angle D and angle E are congruent (angle D ≅ angle E): This is given information.

Segments DC and EC are congruent (DC ≅ EC): This is given information.

Now, let's analyze the options:

A. HL (Hypotenuse-Leg) - This option typically applies to right triangles and doesn't match the given information. We don't have any information about right angles or hypotenuses.

B. SAA (Side-Angle-Angle) - This option doesn't apply because we have SSS congruence given, not SAA.

C. SSS (Side-Side-Side) - We do have SSS congruence given, which means that all three sides of Triangle AEC are congruent to the corresponding sides of Triangle BDC.

D. SAS (Side-Angle-Side) - This option doesn't apply to the given information. We have SSS congruence, not SAS.

So, the correct answer is:

C. SSS (Side-Side-Side)

The relationship of SSS congruence confirms that Triangle AEC and Triangle BDC are congruent because all three sides of one triangle are congruent to the corresponding sides of the other triangle, making them identical in shape and size.

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Answer:

Its 96 bro :) 96 students

Step-by-step explanation:

Basically yeah, 800 is 100% of the population yeah. So just multiply 800 times 12%. 800 x 12% is 96.

96 = 12% of 800, I hope this helps!

Answer:

free points, thanks ✌

Step-by-step explanation:

The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Answer:

X=8

use sin 30 and cross multiply

Answer:

C) x=8

Step-by-step explanation:

For a 30-60-90 triangle, the hypotenuse is equal to double the length of the short side, and the longer leg is equal to the short side times the square root of 3. Therefore, x=2(4)=8

In order to determine the ratio of the hypotenuse to the short leg, use the sine of angle 30°:

sin 30° = opposite side / hypotenuse

Take intop account that sin30° is jsut the same the required ratio.

Moreover, consider that sin 30° = 1/2, which is the same that:

opposite side / hypotenuse = 1/2

or

hypotenuse / opposite

The mean of the sample is 13.

The population mean or sample mean can be found with the given data. Sample: 23, 13,4,5,20.

The formula for the mean is the sum of observations divided by the number of observations. That is,

M = (Σxi)/n

Mean can be calculated for both population and sample data using the formula given below.

Mean of the sample = (Σxi)/n, where n is the sample size.

Mean of the population = (Σxi)/N, where N is the population size.

Here, the given data is a sample data. Hence, the mean of the sample is calculated. Let's use the formula,

Mean of the sample = (Σxi)/n= (23 + 13 + 4 + 5 + 20)/5= 65/5= 13.

Therefore, the mean of the sample is 13. Hence, the answer is OB.

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Answer:

Ghe661.25

Step-by-step explanation:

First to get the interest gotten for the first year, you'll multiply 15/100 by the principal amount which is 500. The value gotten will be 75. This means that the principal amount for the second year will be 500 + 75 which will amount to 575. Again, 15% of 575 will be added to 575 and this will give you the total amount at the end of the two years

Answer:

8

Step-by-step explanation:

gcf

Answer:

c

Step-by-step explanation:

step by step