Help please!!
If f(x)=(2x)^2, find f(4) *show all work*

Answer:

Equation: 3(x+5)=60

Solution: 15 inches

Step-by-step explanation:

Let x represent the original side length of the equilateral triangle. Then, the new length of each side is x+5. Because a triangle has three sides, the new perimeter is 3(x+5), which is 60 inches. Dividing both sides by 3, we get that x+5=20, so x=15.

Answer:

(3,0), (0,3)

Step-by-step explanation:

Answer:

The purpose of the survey is probably to determine whether the number of hours studying correlates with a student's GPA.

Answer:

72 square units.

Step-by-step explanation:

To find the area of the figure, we just need to find the area of the whole trapezoid and subtract the area of the small rectangle.

First, for a trapezoid of bases B₁ and B₂, and of height H, the area is:

A = (1/2)*(B₁ + B₂)*H

In the case of the image, the bottom base is 15 units long (each small square is a unit).

B₁ = 15 units

And the top base is 5 units long:

B₂ = 5 units

And the height is 10 units long.

H = 10 units.

Then the area of the trapezoid is:

A = (1/2)*(15 units + 5 units)*10 units = (1/2)*(20 units)*10 units

A = 100 square units.

The area of a rectangle of length L and width W is:

A' = W*L

In the graph we can see that:

L = 7 units

W = 4 units

A' = (7 units)*(4 units) = 28 square units.

Then the area of the figure is:

Area = A - A' = 100 square units - 28 square units = 72 square units.

The volume of cylinder is 616 cm^3.

Answer:

- 7y +3 =-25

-7y=-25—3

-7y=-28

-7y÷-7= -28÷-7

y=4

Step-by-step explanation:

Take +3 to the side so that your variable and a constant is on their own sides. When a number goes over the equals sign the sign changes at becomes the inverse that's why l said - 3. You now calculate - 25—3 equals 28 then divide by 7 to find y and your y is 4.

Answer:

80-32=48(5/9)=26.67 C; 35-32=3(5/9)=1.67 C

Answer:

a = [tex]\frac{1}{2}[/tex] , b = 5, and  [tex]\frac{2b}{a}[/tex] = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

+4  +4                      Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

-3        - 3                     Do inverse operations

2 = 4a                          

[tex]\frac{2}{4}[/tex] = [tex]\frac{4a}{4}[/tex]                           Divide 4 on both sides to isolate the variable a

[tex]\frac{2}{4}[/tex] = a                            Simplify

[tex]\frac{1}{2}[/tex] = a

Then,

The second part says to find [tex]\frac{2b}{a}[/tex]

[tex]\frac{2b}{a}[/tex]

[tex]\frac{2(5)}{(\frac{1}{2}) }[/tex]                  Input both the values of a and b

[tex]\frac{10}{\frac{1}{2} }[/tex]                    Simplify

20.

The answer for a is [tex]\frac{1}{2}[/tex], the answer for b is 5, and the answer for [tex]\frac{2b}{a}[/tex] is 20.

9514 1404 393

Answer:

  a = 7

Step-by-step explanation:

The Pythagorean theorem tells you the value of 'a' is ...

  a^2 = b^2 - c^2

  a^2 = 25^2 -24^2 = 625 -576 = 49

  a = √49 = 7

The length of side 'a' is 7 units.

Answer:

$3.30

Step-by-step explanation:

Shirt price * city sales tax = sales tax amount on shirt. $39.95 * 0.0825 = $3.30

Answer: 21.6 m

Step-by-step explanation:

Given

A football field measures [tex]100\ m\times 72\ m[/tex]

If a football field similar in shape to a full size  has a length [tex]l=30\ m[/tex]

The ratio of the length of the original to the small field is the same

Assume the width of the small field is  w

[tex]\therefore \dfrac{100}{30}=\dfrac{72}{w}\\\\\Rightarrow w=30\times \dfrac{72}{100}\\\\\Rightarrow w=21.6\ m[/tex]  

Thus, the width of the field is 21.6 m

Answer:

No, you would multiply 12

Step-by-step explanation:

Answer:

x = 15

∠H = 82

∠I = 49

∠G = 49

Step-by-step explanation:

Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )

Angles in a triangle add up to equal 180°

Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )

We now solve for x

3x + 37 + 2 ( 4x - 11 ) = 180

step 1 distribute the 2 to the 4x and -11

2 + 4x = 8x

-11 * 2 = -22

we now have 3x + 37 + 8x -22 = 180

step 2 combine like temrs

3x + 8x = 11x

37 - 22 = 15

we now have 11x + 15 = 180

step 3 subtract 15 from each side

15 - 15 cancels out

180 - 15 = 165

we now have 11x = 165

step 4 divide each side by 11

11x / 11 = x

165 / 11 = 15

we're left with x = 15

Our final step is to find the measures of ∠G, ∠H and ∠I

We can do this by simply replacing x with 15 in their given expression

∠H = 3x + 37

* substitute 15 with x *

3 ( 15 ) + 37

3 * 15 = 45

45 + 37 = 82

Hence, ∠H = 82

∠I = 4x - 11

* substitute x with 15 *

4(15) - 11

4 * 15 = 60

60 - 11 = 49

Hence, ∠I = 49

Like stated previously ∠G and ∠I are congruent

Hence, ∠G = 49

Answer:

∠H = 82

∠I = 49

∠G = 49

Step-by-step explanation:

Answer:

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Answer:

EFG = 104°

GFH = 76°

Step-by-step explanation:

The sum of a linear pair is always equal to 180°

So lets solve for the variable n

2n + 32 + 4n + 16 = 180

6n + 48 = 180

6n = 132

n = 22

So now we know N

EFG = 4n + 16

EFG = 88 + 16

EFG = 104°

GFH = 2n + 32°

GFH = 44 + 32

GFH = 76°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

hahshdbdbdbd 950kejejd

Answer:

40 and 65 respectively

Step-by-step explanation:

let no. of P 5 be x

and p 10 be y

now

x + y = 105

or, x =105 - y....(!)

again

5x + 10y = 850

or , x =( 850 - 10y)÷5....(!!)

from equation (i ) and (ii)

105 - y = (850 - 10y ) ÷ 5

or, (105 - y)5 = 850 -10 y

or, 525 - 5y = 850 - 10y

or, 10y - 5y = 850 - 525

or, 5y = 325

or, y = 65

now,

x = 105 - 65

x = 40

hence ,

P5 = 40

p10 = 65

Answer:

Step-by-step explanation:

p  =  − 12.3

May I please have brainiest

Answer:

Refer to attachment .

Step-by-step explanation:

We need to plot the graph of ,

[tex]:\implies[/tex] y = 35x + 2

Plot different values of x :-

[tex]:\implies[/tex] y = 35*1 + 2

[tex]:\implies[/tex] y = 35 + 2

[tex]:\implies[/tex] y = 37

[tex]\rule{200}2[/tex]

[tex]:\implies[/tex] y = 35*2 + 2

[tex]:\implies[/tex] y = 70 + 2

[tex]:\implies[/tex] y = 72

Hence now plot the points (1,37) and (2,72) .

Answer:

the amount after 3 weeks is $37.33

Step-by-step explanation:

Given that

His balance is -$48.82 i.e. overdraft

Now in order to get the positive balance, he plans to deposit the money of $28.55 per week

We need to find out the amount after 3 weeks

So,

= -$48.32 + $28.55 + $28.55 + $28.55

= $37.33

hence, the amount after 3 weeks is $37.33

The solution is Option A

The equation of Charlene's age is 3x - 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let Charlene's age be C

The age of Mary is = x

Now , the equation is

Charlene's age is 4 less than 3 times Mary's age

Substituting the values in the equation , we get

C = 3 x ( Mary's age ) - 4

On simplifying the equation , we get

C = 3x - 4    be equation (1)

Therefore , the value of C is 3x - 4

Hence , the age of Charlene's age is 3x - 4

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

Pretty much the same thing as the other one.

Step-by-step explanation:

Use a linear equation like y=mx+b except you graph the line down on a graph, and you use the line to kind of eyeball what fraction of a number is for the next point.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2x + 12 = 40}[/tex]

[tex]\large\text{SUBTRACT 12 to BOTH SIDES}[/tex]

[tex]\large\textsf{2x + 12 - 12 = 40 - 12}[/tex]

[tex]\large\text{CANCEL out: \textsf{12 - 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{40 - 12} because that helps solve for \textsf{x}}[/tex]

[tex]\large\textsf{40 - 12 = \bf 28}[/tex]

[tex]\large\text{New EQUATION: \textsf{2x = 28}}[/tex]

[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{28}{2}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{28}{2}}\large\text{ because gives you the value of x}[/tex]

[tex]\mathsf{x = \dfrac{28}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf \huge x = 14}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]\mathrm{d. \csc \theta =\frac{5}{3}}[/tex]

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\cot\theta =\frac{4}{3}[/tex] as given in the problem, then [tex]\tan \theta =\frac{3}{4}[/tex], because [tex]\tan \theta =\frac{1}{\cot \theta}[/tex]. Therefore, the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].

The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse.

Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h) and since [tex]\sin \theta =\frac{1}{\csc \theta}[/tex], we have:

[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{\frac{3}{5}}=\boxed{\frac{5}{3}}[/tex]

Answer:

C (136)

Step-by-step explanation:

The triangle is only rotated, the measure of <D doesn't change

The correct option is 3.

Step-by-step explanation:

The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

From the given figure it is noticed that triangle ABC and triangle EDC. In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.

To use HL hypotenuse and one leg of triangles must be equal.

               AB=DE             (hypotenuse)

              AC=DE              (leg)

               BC=ED                       (leg)

Therefore the additional information    will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.

r = 3 Cm

h = 10 Cm

Volume

v = πr²t

= 3,14 x 3 x 3 x 10

= 9,42 x 3 x 10

= 28,26 x 10