If y = 5cos2x, what is the amplitude?

Step-by-step explanation:

Marco bought 10 gifts = 11. 50

If 5 bracelets = 1.50 x 5 = 7.5

4 stickers = 4 x 1 = 4

So total cost = 7.5 + 4 = 11.5

Answer:

$[tex]4.48[/tex] is the total price.

Step-by-step explanation:

Mulitply the total by the percentage.

[tex]4 * .12 = .48[/tex]

Add those together.

[tex]4 + .48 = 4.48[/tex]

Total price of mangoes: $[tex]4.48[/tex]

Answer: The numbers are 12, 13, 14, 15, and 16.

Step-by-step explanation:

Write an algebraic equation.

x + (x+1) + (x+2) + (x+3) + (x+4) = 70

5x + 10 = 70

subtract 10 from both sides

5x = 60

divide each side by 5

x = 12

The numbers are 12, 13, 14, 15, and 16.

Answer:

12 to 16 :) hope it helped

Answer:

892

Step-by-step explanation:

Answer:

about 27.42

Step-by-step explanation:

Answer:

Answer is below

Step-by-step explanation:

21 + 5f = 61       Turn the words into an equation

-21        - 21       Subtract 21 from both sides

5f = 40              Divide both sides by 5

f = 8

If this answer is correct, please make me Brainliest!

Answer:

[tex]f = 8[/tex]

Step-by-step explanation:

[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]

Answer:

[tex]c = \frac{A}{12h} - b[/tex]

Step-by-step explanation:

Okay, so the goal is to isolate c on one side with all the other terms on the other side. So, let's start by dividing both sides with 12h. After we do that, we will be left with [tex]\frac{A}{12h} = b+c[/tex]. Now, we can subtract both sides by b, and we will be left with [tex]\frac{A}{12h} - b = c[/tex]. Yay! We've now isolated c and that is our final answer!

Hope this helped! :)

Answer:

ZX = 3√2, XY =√10, YZ = 4, Perimeter of ΔXYZ  = 14√5 units

Step-by-step explanation:

1. We can see that if we were to draw an altitude from vertex X to side ZY of this triangle, the length of this altitude would be: 3 units

2. The length of ZX can be determined through Pythagorean Theorem. If this altitude were to be called XW, it would be one of the legs of a mini triangle ZXW, along with leg ZW. ZW clearly = 3, thus ZX^2 = 3^2 + 3^2 = 18, and ZX =  √18 units = 3√2.

3. The same thing can be applied to another "mini" triangle YXW. This triangle would have legs XW (altitude of the triangle ZXY) and YW. Knowing XW to have a length of 3 units, and YW to have length of 1 unit ⇒ XY^2 = XW^2 + YW^2 = 3^2 + 1^2, and XY = √10.

4. YZ is visualized to have a length of 4 units.

5. Knowing that ZX = 3√2, XY =√10, and YZ = 4 ⇒ Perimeter of ΔXYZ = ZX + XY + YZ = 3√2 + √10 + 4 = 14√5 units. To simplify this, it would be that the Perimeter of ΔXYZ  = 14√5 units

1. Exponential

2. Linear

3. Exponential

Answer:

(x - 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-12x) into two terms that can be added to get -12x, and multiplied to get 35:

[tex]x^2[/tex] - 12x + 35

[tex]x^2[/tex] -7x - 5x + 35

Group:

([tex]x^2[/tex] -7x) (-5x + 35)

Take out the GCF (Greatest Common Factor):

x(x - 7)  -5(x - 7)

(x - 5) (x - 7)

Answer:

the answer is D

Step-by-step explanation:

x^2-12x+35=x^2-7x-5x+35=x*(x-7)-5(x-7)=(x-7)(x-5)

Answer:

(32, 42)

Step-by-step explanation:

Answer:

(32,42)

Step-by-step explanation:

Answer:

Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width

[tex]h[/tex] - Height

[tex]l[/tex] - Length

If dimensions are doubled, then volume is increased in a factor of 8:

[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]

[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]

[tex]V_{f} = 8 \cdot V_{o}[/tex]

The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Answer:

x = 5      x = -2

Step-by-step explanation:

y = x^2 – 3x – 10

Set the equation equal to zero

0= x^2 – 3x – 10

Factor

What 2 numbers multiply to -10 and add to -3

-5 *2 = -10

-5+2 = -3

0=(x-5) ( x+2)

Using the zero product property

x-5 = 0    x+2 = 0

x = 5      x = -2

Answer:

-2 and 5

Step-by-step explanation:

trust

Answer:

Step-by-step explanation:

The given expression is

[tex]36,700 - (5,000 + 500m)=0[/tex]

Where [tex]m[/tex] is months.

We need to solve for the variable.

[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]

Therefore, Michael needs to save $63.40, approximately.

Answer:

The number representing describing the value of his signing bonus = 5,000.

Step-by-step explanation:

Total debt = $36,700

He pays $500 every month from his monthly salaries, since m = months.

The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.

It is like the fixed payment.  While the 500m is the variable payment per month.

So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)

Answer:

3 √ 13

Step-by-step explanation:

Answer:

3√13

Step-by-step explanation:

We want to find the distance between these two points. To do so, we need to use the distance formula which states that the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Here, [tex]x_1=-1,x_2=8,y_1=0[/tex], and [tex]y_2=6[/tex]. So:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

d = [tex]\sqrt{(-1-8)^2+(0-6)^2}=\sqrt{(-9)^2+(-6)^2} =\sqrt{81+36} =\sqrt{117} =3\sqrt{13}[/tex]

Thus, the answer is 3√13.

~ an aesthetics lover

Answer:

84mm

Step-by-step explanation:

Formula of a triangle:

A =bh/2

A=14(12)/2

A=168/2

A=84mm

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

Answer:

Sum of all the sides.

Step-by-step explanation:

Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.

Therefore the sum total of the given sides V, W, x ,Y, Z are;

15 +20 + 25 + 7 + 22 = 89cm

Since a picture isn't available to know which sides of the objects can be added.

Hey there! I'm happy to help out!

As you can see, our number keeps on doubling. It's like 2×2×2×2.... so on and so forth. Whenever we multiply a number by itself, we can model it as an exponent, so if we had 2², it is two twos being multiplied, and 2×2=4. If it was 2³, it would be 2×2×2=8.

However, we have a one. This signifies a starting point and exponents have our back. Anything to the 0th power is always equal to one! So, this situation would look something like this:

[tex]2^0, 2^1, 2^2, 2^3,2^4,... etc.[/tex]

So, for the second square, we are going to the first power. For the fourth square it's going to the third power. Therefore, the 10th square will be the 9th power!

[tex]2^9=[/tex] 2×2×2×2×2×2×2×2×2= 512

However, we want to find how much he has done in total! So, let's find how much he did on the other squares!

[tex]2^8[/tex]= 256

[tex]2^7[/tex]=128

[tex]2^6[/tex]=64

[tex]2^5[/tex]=32

[tex]2^4[/tex]=16

2³=8

2²=4

[tex]2^1[/tex]=2

[tex]2^0[/tex]=1

Now, we add these all up to find the total grains of rice!

512+256+64+32+16+8+4+2+1=895

Therefore, George has placed a total of 895 grains of rice on the chess board.

I hope that this helps! Have a wonderful day!

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

On the first square, George placed 1 grain of rice.

On the second square, he placed 2 grains.

On the third square, he placed 4 grains.

On the fourth square, he placed 8 grains.

In general, on the nth square, he places [tex]2^{n-1}[/tex] grains.

So,

On the first 10 squares,

1 + 2 + 4 + 8 + ... + [tex]2^9[/tex]

This is a geometric series with a first term of 1 and a common ratio of 2.

The sum of the first n terms of a geometric series.

[tex]S_n[/tex] =[tex]a(1 - r^n) / (1 - r)[/tex]

where a is the first term, r is the common ratio, and n is the number of terms.

Substituting the values,

[tex]S_{10}[/tex] = 1(1 - 2^10) / (1 - 2)

    = 1(1 - 1024) / (-1)

    = 1023

Therefore,

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ7

Answer:

0-3=-3

Step-by-step explanation:

Answer:

As shown in the picture, the volume of solid is

V = Rectangular prism - half cylinder

Hope this helps!

:)

Answer:

Last option

Step-by-step explanation:

It's a cuboid/rectangular prism

The curve on top is due to half a cylinder being removed

Answer:

Terry made $14 selling cookies.

Step-by-step explanation:

[tex]67-53=14[/tex]

Answer:

$14

Step-by-step explanation:

She made $14 selling cookies.

$67-$53=$14

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

[tex] p' = \frac{X}{n} = \frac{210}{800} = 0.2625 [/tex]

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

[tex] -Z_0.05 = -1.645 [/tex]

The critical value = -1.645

c) Calculating the test statistic, we have:

[tex]Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}[/tex]

[tex]Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}[/tex]

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

Answer:

Step-by-step explanation:

. if every corresponding internal angles in both shapes are equal

. if all corresponding sides are equal or have same ratio.

more rules but depends on the shape also ( triangle, rectangle, hexagon,...)

Answer:

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions [tex]V(r)= \pi r^{3}[/tex] and [tex]C(V)=3.2V[/tex], where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

[tex]C(V(r))=3.2(\pi r^{3} )[/tex]

Therefore, the right answer is the last choice.

Answer:

1/13

Step-by-step explanation:

there are 4 kings in a deck of 52 cards.

4/52 = 1/13

Answer:

  -4

Step-by-step explanation:

If you multiply out the square, you can see ...

  (x +p)^2 = q

  x^2 +2px +p^2 = q

The coefficient of the x-term is 2p, so ...

  2p = -8

  p = -8/2 = -4

Answer:

ok was it college math if so the I don't know