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$37.51 - the third option above

Step-by-step explanation:

A

1600 x 1.053^3= 1868.12

B

1600x1.06^3 =1905.63

Difference

1905.63-1868.12= 37.51

$37.51

Hope this helps!

Answer:

799.04

Step-by-step explanation:

if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04

Answer:

400 boys

Step-by-step explanation:

First use the fraction along with the given information (240 girls)

If 5/8 of the school are boys, then that means 3/8 of the school's students are girls. 3/8 happen to be equal to 240, which means we can conclude that 1/8 is equivilant to 240/3 = 80

80 multiplied by 5 = 400

There are 400 boys in the school. (640 total students in school)

Tip: Easy way to check answer is by putting the boys over the total students to find the ratio, and if it matches, your answer is correct. 400/640 = 0.625, which equals 5/8

Hope this helps :)

Answer:

40

Step-by-step explanation:

its just 4 x 10, move the triangle to the other side

unless its not a triangle lol

then i have no idea

Answer: You need to put the same shape as it shows there on the top.

Step-by-step explanation: I hope this helped you.

To solve this problem

  ⇒ need to use the special right triangle theorem

    ⇒ 30-60-90 triangle theorem (look at diagram attached for the property)

Using the theorem:

            [tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]

             [tex]y = 2x = 2 * 17 =34[/tex]

Answers:

  x = 17 and y = 34

Hope that helps!

Answer:

230=8X+27.75X

230=35.75X

x = 6 Rounded down

8*6=48

27.75*6=166.5

48+166.5=214.5

Amount of frindes can go is 6

Step-by-step explanation:

Answer:

total 6

even 2, 4, 6

even or less than 4: 2, 4

p = 2/6 = 1/3

brainliest?

Answer:

[tex]\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Step-by-step explanation:

[tex]\dfrac12\log(x)-2\log(2y)+2\log(z)[/tex]

[tex]\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n[/tex]

[tex]\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2[/tex]

[tex]\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c[/tex]

[tex]\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)[/tex]

[tex]\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)[/tex]

[tex]\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Answer:

1st picture:

y-intercept = -2

x-intercept = 3

2nd picture:

y-intercept = 1

x-intercept = 2

Step-by-step explanation:

y-intercept: the point where the graph intersects the y-axis.

x-intercept: the point where the graph intersects the y-axis.

1st picture:

y-intercept = -2

x-intercept = 3

2nd picture:

y-intercept = 1

x-intercept = 2

Answer:

x=2.87083

Step-by-step explanation:

y = –2x^2 + 4x +5

ax^2 + bx + c = 0

a= -2

b= 4

c= 5

Quadratic formula: x= -b±√b^2-4ac over 2a

1. plug in the numbers

2. x= -4 ± √4^2 -4(-2)(5) over 2(-2)

3. x= -4 ± √16+40 over -4

4. x= -4 ± √56 over -4

next simplify ratidal

x= -4 ± √2·2·2·7 over -4

x= -4 ± 2√2·7 over -4

x= -4 ± 2√14 over -4

divide both sives over four

x= -4 over -4 ± 2√14 over -4

x= -1 over -1 ± √14 over -2  

answer:

x=2.87083

Answer:

53

Step-by-step explanation:

You get the perimeter by adding up all of the sides. I added them up and got 53

The GCF of 24x and 18y is their greatest common factor

The equivalent expression of 24x + 18y is 6(4x + 3y)

The expression is given as:

24x + 18y

Express each term as the product of 6

24x + 18y = 6 * 4x + 6 * 3y

Factor out 6 from the expression

24x + 18y = 6 (4x + 3y)

Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

9.99m

Step-by-step explanation:

d≈9.99m

C Circumference

31.4m

Using the formulas

C=2πr

d=2r

Solving ford

d=C

π=31.4

π≈9.99493m

Answer:

Below in bold.

Step-by-step explanation:

By proportion she can make 3 1/3 * 1 / 2 1/2 truffles

= 10/3 * 1 / 5/2

= 10/3 * 2/5

= 20 / 15

= 1 1/3 dozen truffles from 1 pound chocolate.

1 1/3 dozen  truffles is made from 1 pound

4/3  . . ..   ..     ..    ..   ..   ..         1  pound

1     . . ..   ..     ..    ..   ..   ..          3/4    ..

5     . . ..   ..     ..    ..   ..   ..         3/4  * 5  =  15/4 pound of chocalote=

3 3/4 pounds chocolate.

[tex] \mathbb\red{4\:turning\:points} [/tex]

Answer:

e) none of these​

Explanation:

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

Answer:

x = ±3√58

Step-by-step explanation:

Given

Solving

Answer:

[tex]x =[/tex] ± [tex]22.85[/tex]

Step-by-step explanation:

Step 1:  Multiply 12 * 36

[tex]x^2 - (12 * 36) = 90[/tex]

[tex]x^2 - 432 = 90[/tex]

Step 2:  Add 432 to both sides

[tex]x^2 - 432 + 432 = 90 + 432[/tex]

[tex]x^2 = 522[/tex]

Step 3:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{522}[/tex]

[tex]x =[/tex] ± [tex]22.85[/tex]

Answer: [tex]x =[/tex] ± [tex]22.85[/tex]

Answer:

60

Step-by-step explanation:

bceuase i got it right just multiply

Answer:

B.

Step-by-step explanation:

Use (X, Y)

X being the horizontal line

Y being the vertical line

y=4

x=-5

Step-by-step explanation:

-4(2y-13) + 5y = 40

-8y + 52 + 5y = 40

-3y + 52 = 40

-3y = -12

y=4

x=-5

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Volume of sphere = Volume of cubiod

↠ 4/3 πr³ = LBH

↠ 4/3 × 22/7 × r³ = 49 × 33 × 24

↠ 4/3 × 22/7 × r³ = 38808

↠ 4 × 22/7 × r³ = 38808/3

↠ r³ = 38808 × 3 × 7/4 × 22

↠ r³ = 441 × 21

↠ r³ = 9261

↠ r = 21 cm

Hence,

Answer:

21.00 cm to the nearest hundredth.

Step-by-step explanation:

The volume of the sphere will  be equal to the volume of the cuboid.

So 4/3 π r^3 =  49*33*24     where r = radius of the sphere.

r^3 = (49*33*24 ) / 4/3 π

r^3 = 38808 / 4.18879

      =  9264.728

r = ∛9264.728

  = 21.0028  cm.

$79333

[tex]salary:x[/tex]

[tex]12\%x=8500[/tex]

[tex]x=8500\div 12\%[/tex]

[tex]x=70833[/tex]

[tex]70833+8500=\$79333[/tex]

I hope this helps you

:)

If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions.

Trigonometric expressions are formulas that utilize trigonometric functions. Trigonometric functions are a kind of trascendental functions, that is, functions that cannot be described in algebraic terms.

In this question we must simplify a given expression by using the following trigonometric formula:

sin 2x = 2 · cos x · cos x   (1)

Now we proceed to expand the expression given:

x = sin 32

x = 2 · sin 16 · cos 16

x = 4 · sin 8 · cos 8 · cos 16

x = 8 · sin 4 · cos 4 · cos 8 · cos 16

Thus,

sin 4 · cos 4 · cos 8 · cos 16 = x/8

If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using double angle trigonometric functions. [tex]\blacksquare[/tex]

To learn more on trigonometric functions, we kindly invite to check this verified question: https://brainly.com/question/6904750

Answer:

Class 1.

Step-by-step explanation:

Class 1 has the greater interquartile range.

Answer:

Class #2

Step-by-step explanation:

IQR of Class #1:

85 - 72 = 13

IQR of Class #2:

90 - 70 = 20

Class #2 has a greater IQR!

Hope this helps!

Answer:

XY = 8

Step-by-step explanation:

XY + YZ = XZ , that is

XY + 17 = 25 ( subtract 17 from both sides )

XY = 8

Answer:

83.75 yards

Step-by-step explanation:

3.75 x 67 = 251.25ft

251.25 / 3 = 83.75yards

Answer:

  119 cm²

Step-by-step explanation:

The area of a composite shape can be found by dividing it into shapes whose area formulas you know.

__

Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...

  2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²

  10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²

  5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²

Then the total area is ...

  (34 +70 +15) cm² = 119 cm²

[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]

Answer:

53.89%

Step-by-step explanation:

total no. obtainable = 80 + 100 = 180

total scores acquired = 22 + 75 = 97

percentage = (total acquired/total possible) × 100

= (97/180) × 100

= 53.89 %