what’s the vertex of f(x)= (x-4)^2+7

Answer:

4.1 ; 4.4

Step-by-step explanation:

For min:

x - 4.25 = -0.15

x = 4.1

For max:

x - 4.25 = 0.15

x = 4.4

Answer:

The minimum rainfall expected is 4.1 inches, and the maximum rainfall expected is 4.4 inches.

Step-by-step explanation:

#platofam

Answer:

The theoretical probability of getting a 2 when a fair die is rolled is 1/6  so its a low chance

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Grade must be greater than or equal to 88

Answer:

The answer for this is B

Answer:

Part 1) The volume of the storage body is 576 cubic feet

Part 2) To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box

Part 3) Sheila can fit 64 boxes into the truck

Step-by-step explanation:

step 1

Find the volume of the storage body

we know that

The volume of the of the storage body is equal to the volume of two rectangular prism

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

First rectangular prism (top)

[tex]V=(15)(6)(8-6)=180\ ft^3[/tex]

Second rectangular prism (bottom)

[tex]V=(15-4)(6)(6)=396\ ft^3[/tex]

The volume of the storage body is

[tex]V=180+396=576\ ft^3[/tex]

step 2

we know that

To find out how many boxes can she fit in the storage body, divide the volume of the storage body by the volume of each box

step 3

substitute the given values

[tex]\frac{576}{9}= 64\ boxes[/tex]

therefore

Sheila can fit 64 boxes into the truck

Answer:

.3-.6 ; 0-.6 ; .1-.3 ; 0-.3 ; 0-.1

Step-by-step explanation:

The "points" are:

(0,96.44), (.1,97.6), (.3, 98.57), and (.6, 98.3)

The "rate of change" is the slope. This means that the change from...

0-.1 is (97.6-96.44)/.1 = 1.16/.1= 11.6

0-.3 is (98.57-96.44)/.3 = 2.13/.3 = 7.1

0-.6 is (98.3-96.44)/.6 = 1.86/.6 = 3.1

.1-.3 is (98.57-97.6)/.2 = .97/.2 = 4.85

.3-.6 is (98.3-98.57)/.3 = -.27/.3 = -.9

Answer:

Step-by-step explanation:

The value of each trigonometric ratio is

[tex]$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17}, \ \tan A =\frac{15}{8}[/tex]

[tex]$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8}, \ \cot A =\frac{8}{15}[/tex]

Solution:

The given triangle is right triangle.

AC (hypotenuse) = 34, AB (adjacent) = 16, BC (opposite) = 30

To find the trigonometric ratios:

Using trigonometric formulas for right triangle,

[tex]$\sin \theta=\frac{\text { opposite }}{\text { hypotenuse }}[/tex]

[tex]$\sin A=\frac{BC}{AC}[/tex]

[tex]$\sin A=\frac{30}{34}=\frac{15}{17}[/tex]

[tex]$\cos \theta=\frac{\text { adjacent }}{\text { hypotenuse }}[/tex]

[tex]$\cos A=\frac{AB}{AC}[/tex]

[tex]$\cos A=\frac{16}{34}=\frac{8}{17}[/tex]

[tex]$\tan \theta=\frac{\text { opposite }}{\text { adjacent }}[/tex]

[tex]$\tan A=\frac{BC}{AB}[/tex]

[tex]$\tan A=\frac{30}{16}=\frac{15}{8}[/tex]

[tex]$\csc A =\frac{1}{\sin A}[/tex]

[tex]$\csc A =\frac{17}{15}[/tex]

[tex]$\sec A =\frac{1}{\cos A}[/tex]

[tex]$\sec A =\frac{17}{8}[/tex]

[tex]$\cot A =\frac{1}{\tan A}[/tex]

[tex]$\cot A =\frac{8}{15}[/tex]

Hence the value of each trigonometric ratio is

[tex]$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17}, \ \tan A =\frac{15}{8}[/tex]

[tex]$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8}, \ \cot A =\frac{8}{15}[/tex]

Answer:

length = x - 2

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × width

Here A = x² - 7x + 10 and width = x - 5

x² - 7x + 10 = length × (x - 5) ← divide both sides by (x - 5)

length = [tex]\frac{x^2-7x+10}{x-5}[/tex] ← factor the numerator

           = [tex]\frac{(x-5)(x-2)}{x-5}[/tex] ← cancel common factor (x - 5) on numerator/ denominator

           = x - 2

Thus length = x - 2 metres

Answer:

h = 7

Step-by-step explanation:

1 hour = 60 mins

h hours = 60h mins

60h + 30 = 450

60h = 420

h = 7

Answer:7

Step-by-step explanation:

h+30=450

h=450-30

h=420minutes

But 1hour=60minutes

Therefore 420minutes=420/60 hour =7hours

[tex]9x +30\geq 30[/tex]

Solution:

Given that,

Translate the sentence into an inequality

The sum of a number times 9 and 30 is at least - 15

Let "c" be the unknown variable

"at least" means "greater than or equal to"

From given,

sum of a number times 9 and 30 = 9x + 30

Which means,

[tex]9x +30\geq 30[/tex]

Thus the given sentence is translated into inequality

The sentence 'The sum of a number times 9 and 30 is at least - 15' can be translated into the inequality

The sentence 'The sum of a number times 9 and 30 is at least - 15' can be translated into an inequality by first recognizing the mathematical operations being described. The phrase 'a number times 9' is multiplication, so let's represent this number with the variable c. Thus, this part is 9c. The word 'sum' represents addition. Finally, 'is at least' indicates that the sum is greater than or equal to a particular value (-15 in this case).

Putting these elements together, we get the inequality

This is the inequality that represents the sentence.

https://brainly.com/question/32625151

#SPJ3

My answer was wrong sorry

Answer:

Step-by-step explanation:

2.6 becuase 4a/2= 5.2

4a=10.4

a=2.6

Step-by-step explanation:

[tex]|b + 4| - 1 = 10 \\ \\ \therefore \:|b + 4| = 10 + 1 \\ \\ \therefore \:|b + 4| = 11 \\ \\ \therefore \:b + 4 = \pm \: 11 \\ \\ \therefore \:b + 4 = 11 \: \: or \: \: b + 4 = - 11 \\ \\ \therefore \:b = 11 - 4 \: \: or \: \: b = - 11 - 4 \\ \\ \therefore \:b = 7 \: \: or \: \: b = - 15 \\ \\ \therefore \:b = \{ - 15, \: \: 7 \}[/tex]

Answer:

hey

Step-by-step explanation:

angle 7x-9 +angle 4x=90°

11x=90+9

11x=99

x= 9°

Answer:

∠CBD = 54°

Step-by-step explanation:

∠ABC = 90°

∠ABD + ∠CBD = ∠ABC

4X + 7X -9 = 90

11X = 90+9

11X = 99

X = 99/11

X=9°

∠CBD = (7X -9)° = 7 * 9 - 9 = 63-9 = 54°

Answer:

Mean = 22.5

MAD = 7.5

Step-by-step explanation:

Mean = 135/6

= 22.5

|x-22.5|

= 12.5, 7.5, 2.5, 2.5, 7.5, 12.5

MAD = 45/6 = 7.5

Step-by-step explanation:

= -5/8-3/4

= -5-6/8

= -11/8

Answer:-11/8

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

The slope of the line is change in y over change in x.

The formula is:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Step 1:  Identify the two points

(x1, y1) -> (0, 0)

(x2, y2) -> (1, 2)

Step 2:  Plug into the equation

The formula is:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{2 - 0}{1-0}[/tex]

Slope = 2/1

Slope = 2

Answer:  The slope is 2

Answer:

Step-by-step explanation:

55

Answer:

12m

Step-by-step explanation:

720 pi = pi × r² × 5

720 = 5r²

r² = 144

r = 12 meters

Answer:

an angle that is larger than 180 degrees but is smaller than 360 degrees

Answer:

A reflex angle is any angle larger than 180 degrees and smaller than 360 degrees.

Step-by-step explanation:

Angle one is the Angle of incidence, Angle two is the Angle of reflection, and Angle one is equal to Angle two.

Answer:

A = 1

Step-by-step explanation:

[tex] frac. \: \frac{4}{12} = \frac{a}{3} [/tex]

[tex] \frac{ \: \: \: 4 \: \div \: x \: = \: a}{12 \: \div \: x \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: x \: = \: a}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: 4 \: = \: a}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: 4 \: = \: 1}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] a= 1[/tex]

Answer:

x = [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Given a quadratic in standard form, ax² + bx + c : a ≠ 0

Then the axis of symmetry is a vertical line with equation x = h

where h is the x- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = 5x² - 3x + 5 ← is in standard form

with a = 5 and b = - 3, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-3}{10}[/tex] = [tex]\frac{3}{10}[/tex]

Thus the equation of the axis of symmetry is x = [tex]\frac{3}{10}[/tex]

Answer:

y = 10

Step-by-step explanation:

Since all sides are equal, that means all angles are 60 degrees. 60 + 60 + 60 = 180

5y + 10 - 10 = 60 - 10

5y / 5 = 50 / 5

y = 10

Answer:  y = 10

Answer:

v = 1620 ^3

Step-by-step explanation:

If the area of the bottom is 180 sq in and the height is 9 in then this is how you would solve the problem.

To get area of the volume is l * w * h

Because of the associative property we can do this in any order we want

If we know that l * w is 180, then all we have to do is multiply 180 by 9

180 * 9 = 1620

Answer:

60.

Step-by-step explanation:

(x^2 - 25) / (√(x + 4) - 3).

We rationalise the expression by multiplying top and bottom of the fraction by the complement of the denominator.

That is by (√(x + 4) + 3):

       (x^2 - 25)(√(x + 4) + 3)

=   ------------------------------------

     (√(x + 4) - 3)(√(x + 4) + 3)

=   (x + 5)(x - 5)(√(x + 4) + 3)

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

                (x - 5)

= (x + 5)(√(x + 4) + 3).

The limit as this---> 5

is  (5 + 5)(√(5 + 4) + 3)

= 10 * 6

= 60.

Answer:

x=5 or x=-5

Step-by-step explanation:

either one of those

x2−9=16

Step 1: Add 9 to both sides.

x2−9+9=16+9

x2=25

Step 2: Take square root.

x=±25

x=5 or x=−5

Answer:

25.1

Step-by-step explanation:

the formula for the area of a circle is A=3.14(pi)r² or A=3.14(pi)d

r = radius d = diameter

so

a = 3.14d

a= (3.14)(8)

a= (25.12) rounded to the nearest tenth = 25.1

hope this helps

Answer:

Step-by-step explanation:

-22.5-(-18)=-4.5

-27-(-22.5)=-4.5

-31.5-(-27)=-4.5

then the common difference is -4.5

Answer: -4.5

Step-by-step explanation:

It is the most common difference.

Answer:

(-3+5)(1)=-3+5

Step-by-step explanation:

The multiplicative identity is 1.

The multiplicative identity property days that, if you multiply a real number by 1, that result is the same real number.

This is demonstrated in option B of the given alternatives, where we have:

[tex]( - 3 + 5)(1) = - 3 + 5[/tex]

The multiplication by did not change b the value.

The amount when she is 35 is $8,733.01221.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$4,000 \times (1 + 9.8\%\div 12)^{8\times 12}\\\\= \$4,000 \times (12.098\div 12)^{96}[/tex]

= $8,733.01221

Therefore we can conclude that The amount when she is 35 is $8,733.01221.

Learn more: brainly.com/question/6201432

Final answer:

At age 35, Jill's IRA investment, which started with a $4,000 deposit at age 27 and earns 9.8% interest compounded monthly, will be worth approximately $8,159.55.

Explanation:

To determine the future value of Jill's IRA investment, we will use the formula for compound interest, which is A = [tex]P(1 + \(\frac{r}{n}\))^n^t[/tex], where:

P is the principal amount (the initial amount of money)

r is the annual interest rate (decimal)

n is the number of times that interest is compounded per year

t is the time the money is invested for in years

A is the amount of money accumulated after n years, including interest.

In Jill's case, she deposited $4,000 into an IRA at age 27, and we want to find out what it will be worth when she is 35. The annual interest rate is 9.8%, but since it is compounded monthly, we will have to convert this to a monthly rate and adjust the time accordingly

The steps to solve for the amount A are as follows:

Convert the annual interest rate to a decimal: 9.8% = 0.098

Find the monthly interest rate by dividing the annual rate by 12: \[tex](\frac{0.098}{12}\)[/tex]

Calculate the number of years money is invested: 35 - 27 = 8 years

Find the number of times interest is compounded: 12 months/year ×  8 years

Use the compound interest formula to calculate A.

Now, let's do the math:

P = $4,000

r = 0.098 / 12

n = 12

t = 8

A = 4000(1 + [tex]\(\frac{0.098}{12}\))^(12\(\times\)8)[/tex]

Using a calculator we get:

A = $4000(1 + 0.0081667)⁹⁶

A = $4000(1.0081667)⁹⁶

A = $4000 [tex]\(\times\)[/tex] 2.0398873

A ≈ $8,159.55

Therefore, at age 35, Jill's IRA investment will be worth approximately $8,159.55.

Answer:

19

Step-by-step explanation:

7x-7=126

add+7 to 126 and you will get 133

7x/133

x=19

Answer:

x = 19

Step-by-step explanation:

7x - 7 = 126

Add 7 to each side

7x - 7+7 = 126+7

7x = 133

Divide each side by 7 to isolate x

7x/7 = 133/7

x = 19