Enter the coordinates of the vertex of the graph of y = 2(x + 5)2 − 4.

Vertex: (
,
)

Answer:

A) 64 cm²

Step-by-step explanation:

Trapezoid area formula:

[tex]A=\frac{a+b}{2} h[/tex]

Given:

a = 6

b = 10

h = 8

Work:

[tex]A=\frac{a+b}{2} h\\\\A=\frac{6+10}{2} *8\\\\A=\frac{16}{2} *8\\\\A=8*8\\A=64[/tex]

Answer:

I think it's option B

Answer:

13. [tex]x^{3} y^3[/tex] cubic units

14. 43 million; 79 million; 3.6 × [tex]10^7[/tex]

15. 2.68 × [tex]10^5[/tex]

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

1.25x + 1000 = 3000

Subtract 1000 from both sides

1.25x = 2000

Divide both sides by 1.25

x = 1600

Answer:

C. a = 7

D. c = -3

Step-by-step explanation:

C. 7(2a + 3) + 21 = 100+ 40

   14a + 21 + 21 = 140

   14a = 140 - 21 - 21

    14a = 98

    a = 7

D. 6+ 14 - 12c = 56

    20 - 12c = 56

     -12c = 56 - 20

     -12c = 36

       c = - 3

Answer:

Step-by-step explanation:

c.7(2a+3)+21=100+40

14a+21+21=140

14a+42=140

14a=140-42

a=98/14

a=7

d.6+14-12c=56

20-12c=56

-12c=56-20

c=36/-12

c=-3

Answer:

77 boys, 65 girls

Step-by-step explanation:

x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:

x + x + 12 = 142

2x + 12 = 142

x = 65

65 girls

then 65+ 12 = 77 boys

Answer:

D.

Step-by-step explanation:

The mean is 11,000

Answer:

yes, it is a right triangle

Step-by-step explanation:

the other two angles are 35 and 55 degrees

Answer:

is NOT a right triangle

Step-by-step explanation:

is a right triangle if it checks the Pythagorean Th.

12² = 10² + 7²

144 = 100+49

144 = 149 False

Answer:

x =41.18114952

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

We know the hypotenuse and adjacent sides

cos theta = adjacent / hypotenuse

cos x  = 14.3/19

taking the inverse cos of each side

cos^-1 (cos x) = cos ^-1 ( 14.3/19)

x =41.18114952

Answer:

Step-by-step explanation:

take x degree as reference angle

using cos rule

cos x=adjacent/hypotenuse

cos x=14.3/19

cos x=0.75

x=cos 41

x= 41 degree

Answer:

48

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

48

the picture 20 words or longer for the answer so this is extra text

[tex]4d = - 16 \\ \\ d = \cancel \frac{ - 16}{4} \\ \\ d = - 4[/tex]

Answer:

The value of d is -4. When you multiply 4 by -4 you get -16. If you want me to elaborate, let me know.

Step-by-step explanation:

Area = 1/2 × 24 × 11 × Sin(76)

Area = 12 × 11 × 0.9703

Area = 132 × 0.9703

Area = 128.0796

Area = 128.1 in^2

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  1/10

Step-by-step explanation:

The value of any digit is found by setting all other digits to zero.

The value of the 2 in 43,290 is 200.

The value of the 2 in 32,865 is 2,000.

200 is 200/2000 = 1/10 times 2000

The value of 2 in 43,290 is 1/10 times the value of 2 in 32865.

Answer:

The answers is " Option B".

Step-by-step explanation:

[tex]CI=\hat{Y}\pm t_{Critical}\times S_{e}[/tex]

Where,

[tex]\hat{Y}=[/tex] predicted value of lead content when traffic flow is 15.

[tex]\to df=n-1=8-1=7[/tex]

 [tex]95\% \ CI\ is\ (463.5, 596.3) \\\\\hat{Y}=\frac{(463.5+596.3)}{2}\\\\[/tex]

     [tex]=\frac{1059.8}{2}\\\\=529.9[/tex]

Calculating thet-critical value[tex]t_{ \{\frac{\alpha}{2},\ df \}}=-2.365[/tex]

The lower predicted value [tex]=529.9-2.365(Se)[/tex]

[tex]463.5=529.9-2.365(Se)\\\\529.9-463.5=2.365(Se)\\\\66.4=2.365(Se)\\\\Se=\frac{66.4}{2.365} \\\\Se=28.076[/tex]

When [tex]99\%[/tex] of CI use as the expected lead content: [tex]\to 529.9\pm t_{0.005,7}\times 28.076 \\\\=(529.9 \pm 3.499 \times 28.076)\\\\=(529.9 \pm 98.238)\\\\=(529.9-98.238, 529.9+98.238)\\\\=(431.662, 628.138)\\\\=(431.6, 628.1)[/tex]

Answer:

➬➬➬➬➬➬➬➬

[tex]6x+5+(11x-5)+x=180^o[/tex]

[tex]18x=180[/tex]

[tex]x=10[/tex]

☄m∠Q=105°

❆❆❆❆❆❆❆❆❆❆❆❆

hope it helps....

have a great day!!

Answer and Step-by-step explanation:

The product of a two numbers/values is the result of multiplying two numbers/values.

So, multiply b and 3 together.

3b is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f'(t) = t^4 + 91 - \frac{3}{t}[/tex]

[tex]\displaystyle f(1) = \frac{1}{4}[/tex]

Step 2: Integration

Integrate the derivative to find function.

Our general solution is  [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| + C[/tex].

Step 3: Find Particular Solution

Find Integration Constant C for function using given condition.

∴ Our particular solution to the differential equation is  [tex]\displaystyle f(t) = \frac{t^5}{5} + 91t - 3ln|t| - \frac{1819}{20}[/tex].

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

15.05 is your answer.

Step-by-step explanation:

To find our answer we will first divide 8.75 by 100 since it is a percentage.  8.75 ÷ 100 = 0.0875

Now we will take 0.0875 and multiply it by 172 and we get 15.05.  Therefore, 15.05 is our answer

Hey there!

8.75% of 172

The word “of” means multiply in mathematical terms.

8.75% * 172

8.75% = 8.75/100 = 0.0875

0.0875 * 172

= 301/20

= 15.05

Answer: 301/20 OR 15.05

(BOTH ANSWERS WORK because they are both equivalent)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Explanation:

To go from figure 1, to figure 2, we apply a translation (aka "shifting"). Specifically, we translate 3 units to the right and 4 units up.

To go from figure 2 to figure 3, we apply a reflection. The mirror line is vertical and it is along the shared segment of figures 2 and 3.

Answer:

a) 82.

b) So a growth factor of 0.025

c) 2.5%.

d) f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.

Step-by-step explanation:

Exponential equation of population growth:

The exponential equation for population growth has the following format:

[tex]f(x) = x(0)(1+r)^x[/tex]

In which x(0) is the initial value and r is the growth factor, as a decimal.

In this question:

In x years after 2021:

[tex]f(x) = 82(1.025)^x[/tex]

a)

This is f(0). So

[tex]f(0) = 82(1.025)^0 = 82[/tex]

So 82.

b)

We have to find r. So

[tex]1 + r = 1.025[/tex]

[tex]r = 1.025 - 1 = 0.025[/tex]

So a growth factor of 0.025.

c)

Growth factor multiplied by 100%.

So 0.025*100% = 2.5%.

d)

f(5) = population in 5 years after January 1st 2021, that is, January 1st 2026.

[tex]f(5) = 82(1.025)^5 = 93[/tex]

f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.

Answer:

509

Step-by-step explanation:

There are 4 prime factors of 6108

6108 ÷ 2 = 3054

3054 ÷ 2 = 1527

1527 ÷ 3 = 509

509 ÷ 509 = 1

9514 1404 393

Answer:

  correct choice is marked

Step-by-step explanation:

The error is in step 2. The square root cannot be distributed to a sum.

Answer: 77

Step-by-step explanation:

Answer:

V =65416.666666 cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 50 so the radius is 1/2 of the diameter

r = 1/2 (50) = 25

V = 4/3 ( pi) (25)^3

V = 4/3 (pi) 15625

V =20833.3333 pi

Using 3.14 for pi

V =65416.666666 cm^3

Answer:

V =65416.666666 cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 50 so the radius is 1/2 of the diameter

r = 1/2 (50) = 25

V = 4/3 ( pi) (25)^3

V = 4/3 (pi) 15625

V =20833.3333 pi

Using 3.14 for pi

V =65416.666666 cm^3

Answer: hello your question is incomplete attached below is the missing codes

Answer : It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement was not written in the main function

Step-by-step explanation:

It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement  should be moved to the Main

The correction  is below

{

   double* p = new double;

   hypotenuse(1.5, 2.0, p);

  cout << "The hypotenuse is " << *p << endl;

}

Answer:

240

Step-by-step explanation:

They spent $120 buying 120 items, so they have -$120. By selling the items at 3x the price, they gained the 120 back and made a profit of 240 (120 x 2).