Which equation written below in vertex form isequivalent to the equation y=x2+8x+7?

Answer:

she can make 7 pieces with the ribbon

Answer:

x = 95

Step-by-step explanation:

The total degree of a circle is 360. The twp arcs on each side of the parallel lines are equal.

Subtract 135 and 35 from your total

360 - 135 - 35 = 190

Divide your answer by 2

190 ÷ 2 = 95

The simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³

We want to solve the algebraic fraction equation given as;

3a³ - 5b³ + (3/a) + b³

Rearranging the algebra to get;

(3a³ + (3/a)) + b³ - 5b³

Factorizing out 3/a and simplifying gives;

(3/a)(a⁴ + a) - 4b³

This is the final part for the simplification of the given algebraic fraction. Thus, we can conclude that the simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³

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Answer:

-51

Step-by-step explanation:

Answer:

Commutative property of Addition

Step-by-step explanation:

Hope this helped!

Answer:

17/18 green paint

Step-by-step explanation:

u just add and do multiple action more to find it

The total surface area of the prism is determined as  216 cm².

The surface area of the prism is calculated by applying the following formula.

The area of the two triangular faces is calculated as follows;

Area of the two triangles = 2 (¹/₂ x base x height )

Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )

Area of the two triangles = 24 cm²

The area of rectangular faces is calculated as follows;

A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )

A = 192 cm²

The total surface area of the prism is calculated as follows;

Area = 24 cm² + 192 cm²

Area = 216 cm²

The sketch of the triangular prism is in the image attached.

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Answer:

Step-by-step explanation:

The null hypothesis: Mean verbal reasoning GRE score of the engineering graduate students at the technical university is less than or equal to the national average: u ≤ 150

The alternative hypothesis: Mean verbal reasoning GRE score of the engineering graduate students at the technical university is greater than the national average: u > 150

Since the p-value of 0.0099 was gotten which is less than the significance level of 0.05, we reject the null hypothesis and conclude that actually there is a statistically significant evidence to prove that the mean verbal reasoning GRE score of the engineering graduate students at the technical university is greater than the national average

Answer:

The common ratio is 4

Step-by-step explanation:

To find the common ratio take the second term and divide by the first term

-20/-5 = 4

To verify take the third term and divide by the second

-80/-20 = 4

The common ratio is 4

Answer:

4

Step-by-step explanation:

To find the common ratio, divide one term by the term before it.

-20 ÷ -5 = 4

-80 ÷ -20 = 4

Each number is multiplied by 4 to get to the next number.

I hope this helps :))

Answer:

64

Step-by-step explanation:

[using calculus] When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have \(h'(t) = -32t + 48\), which equals zero when \(t = 3/2 = 1.5\). The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

[without calculus] This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

Answer:

55

Step-by-step explanation:

♡♡♡♡

Answer:

The answer is false

Answer:

False

Step-by-step explanation:

Step-by-step explanation:

Median: 35000

Mean: 383333.33333333 (round it)

Mode: 10000, 20000, 30000, 40000, 200000, 2000000 (all the numbers)

Answer:

Last week

Step-by-step explanation:

last week because, the class that week was only 1 hour and last weeks was 3/2 an hour

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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After reflecting the quadrilateral EFGH across the line y = 2, the x-coordinates of the corresponding points in the image and the preimage will be the same.

Generally,  Reflection is an isometry, which means that it preserves distance and angles. Therefore, the x-coordinates of the points in the image and the preimage will not be changed by the reflection. The y-coordinates will change since the reflection flips the points over the line of reflection.

For example, if quadrilateral EFGH has a vertex at (x, y), then the corresponding vertex in the image will be at (x, 2 - y). The x-coordinate remains the same, but the y-coordinate is reflected across the line y = 2.

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Answer: 6.698

Step-by-step explanation:

Answer:

6.698

Step-by-step explanation:

Have a good day :)

Answer:

<ABC

Step-by-step explanation:

When you use three points, two points must be on the rays of the anlge. The middle point must be the vertex.

Answer: <ABC

Answer:

C) ∠ABC

Step-by-step explanation:

∠ABC is a wrong classification of the angle presented because that would imply angle B is the included angle, but it's really angle A that's included (or angle 1). Therefore, the rest of the options are correct and C is the wrong one.

Answer:

\(x + y + z = 50\)

\(20x +50 y +30 z = 1500\)

\(x = z\)

Step-by-step explanation:

Given

\(Chicken = c\)

\(Dog = y\)

\(Duck = z\)

Since, she wants to buy 50 in total; This can be modeled by:

\(x + y + z = 50\)

Considering the budget, we have:

\(20x +50 y +30 z = 1500\)

Lastly, we have that

\(x = z\)

i.e. Chicken = ducks

There are 20 chickens, 10 dogs and 20 ducks.

Let x represent the number of chickens, y represent the number of dogs and z represent the number of ducks.

The total number of animals she needs to buy is 50. Hence:

x + y + z = 50     (1)

She has a budget of $1500 to spend, hence:

20x + 50y + 30z = 1500   (2)

The number of chickens should be equal to that of ducks. Hence:

x = z

x - z = 0     (3)

Hence, x = 20, y = 10 and z = 20

There are 20 chickens, 10 dogs and 20 ducks.

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1) Gathering the data

decline 1989-1997

1989: 30400 people

1997: 24320 people

A) Let's organize these data as a table :

x (year) | y( pop)

1 30400

8 24320

Let's now find the slope

Plugging into the formula

y=mx+b

30400 =-6080/7(1)+b

30400=-6080/7+b

30400+6080/7=b

31268.57=b

So the Linear equation is P =-124.08t+31268.57

2) Once we have the equation let's plug into that the year 2002, i.e. the 13th year

P=-6080/7(13)+31268.57

P=-11291.42+31268.5719

P(2002) =19977.15

The population in 2002 is approximately 19,977 people.

Answer:

∠5  is supplementary.

It forms a straight angle with ∠1.

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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Answer:

2 x  − 6

Explanation:

"Six less than.." means "Subtract 6 from".

Do not confuse this with "Six less..." which means "Subtract from 6".

Confusing, I know.

We know that "Double a number" means  

2 x , where  x  is your mystery number.

Therefore, we have:

2 x  −  6 , which translates to "6 less than 2x" or "6 less than twice a number"

The stochastic matrix with columns and rows labeled S, M, and L that describes the transitions is:

| 0.3  0.5  0.4 |

| 0.7  0.5  0.1 |

| 0.0  0.0  0.5 |

The (i, j) entry in this matrix represents the probability of moving from state i to state j.

The Initial Distribution Matrix on Monday is:

| 0.7 |

| 0.2 |

| 0.1 |

This represents the proportion of people who have a strenuous, moderate, and light workout on Monday.

To find the percentage of people who have a light workout on Tuesday, we need to multiply the initial distribution matrix by the stochastic matrix twice:

| 0.3  0.5  0.4 |   | 0.7 |   | 0.35 |

| 0.7  0.5  0.1 | x | 0.2 | = | 0.32 |

| 0.0  0.0  0.5 |   | 0.1 |   | 0.33 |

So, 33% of people will have a light workout on Tuesday.

To find the percentage of people who have a strenuous workout on Wednesday, we need to multiply the initial distribution matrix by the stochastic matrix three times:

| 0.3  0.5  0.4 |   | 0.7 |   | 0.451 |

| 0.7  0.5  0.1 | x | 0.2 | x | 0.296 |

| 0.0  0.0  0.5 |   | 0.1 |   | 0.253 |

Therefore, 45.1% of people will have a strenuous workout on Wednesday.

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Pythagoras - Has a theorem named after him

Thales - Contributed to the five basic theorems of geometry

Pythagoras was a Greek philosopher, mathematician, and founder of the Pythagorean school of philosophy. He lived in the 6th century BCE on the Greek island of Samos and is known for his contributions to mathematics, geometry, music, and philosophy.

Pythagoras is most famous for the theorem that bears his name, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is fundamental to the study of geometry and has applications in many fields, from architecture to physics.

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According to the function transformations, the value of h is -2

The complete question is in the attachment

The functions are given as:

\(f(x) = (2.5)^x\)

\(g(x) = (2.5)^{x-h\)

From the question, we understand that the function f(x) is translated to the left to get g(x)

From the attached graph, we can see that the function h(x) is 2 units to the left of f(x).

This transformation is represented by:

(x, y) => (x + 2, y)

So, we have:

x - h = x + 2

Evaluate the like terms

h = -2

Hence, the value of h is -2

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Answer:H=-2

Step-by-step explanation:

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Answer:

\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)

The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)

And since we know the total and the proportion is defined as:

\( \hat p=\frac{X}{n}\)

If we solve for X (number of people who say yes) we got:

\( X= 0.58333* 504= 293.998 \approx 294\)

And the best answer would be:

294

Step-by-step explanation:

We know that the confidence interval for the proportion is given by:

\( \hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The margin of error for the proportion interval is given by this formula:  

\( ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)    (a)  

The margin of error can be calculated with this formula:

\( ME=\frac{0.60529- 0.56137}{2}= 0.02196\)

And the estimation for the true proportion is:

\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)

The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)

And since we know the total and the proportion is defined as:

\( \hat p=\frac{X}{n}\)

If we solve for X (number of people who say yes) we got:

\( X= 0.58333* 504= 293.998 \approx 294\)

And the best answer would be:

294