which statement is true​

100 = 10^2

1000 = 10^3

10000 = 10^4

0.1 = 10^(-1)

0.01 = 10^(-2)

0.001 = 10^(-3)

Now,

100 × 0.1 = 10^2 × 10^(-1)

= 10

Answer:

1498.78125 i used calculator

Step-by-step explanation:

Answer:

[tex]k=\dfrac{5}{4}[/tex]

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]

So, the constant of variation is [tex]\dfrac{5}{4}[/tex].

Answer:

D

Step-by-step explanation:

As,

-10 is always greater than -13

Hence, -13 < -10

Answer:

⅔ (option two)

Explanation:

on a cube numbered 1 to 6, only four numbers (1, 2, 3 and 4) are smaller than 5. there is an equal chance of you rolling any side on the dice, so your chances of rolling one of those four numbers would be 4/6, which can be simplified to ⅔.

i hope this helps! :D

Answer:

x = 1/2 and y=6x, so 8x/2y = 8(1/2)/2(6*1/2) = 4/6 = 2/3

Step-by-step explanation:

Answer:

The second option

Step-by-step explanation:

Since root 16 is an integer (4), the second option produces the fraction 4/5 which is rational.

Step-by-step explanation:

For every page that Liam reads, Amir reads five, so if Liam read 12 pages, then Amir read 12 * 5 = 60 pages

Answer:

C: 1

this answer is c because the line is one the Y intercept of 1

Answer:

9 buses

12 cars

(Step-by-step explanation:

x=bus x+y=21 --> y=-x+21

30x+4y=318 --> y= -30x/4 + 318/4

y=car

x= 9

y=12

:) hope this help

Answer:

The population is all 600 members of the health club

Explanation:

50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.

Answer:

4

Step-by-step explanation:

Answer:

4) volume =288

5) 4=r

Step-by-step explanation:

Question 4

volume=length*width*height

volume= 3*8*12

volume=288

question 5

V=pie r^2*h

144pie=pie r^2 *9

144/9=r^2

16=r^2

4=r

Answer:

Awnser #3

Step-by-step explanation:

Justr did it

Answer:

The third number line where x = -2, 2

Step-by-step explanation:

The solution is, the number line represents the solutions is given below.

here, we have,

given equation is,

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

To learn more on number line click:

brainly.com/question/29162579

#SPJ7

Answer:

9

Step-by-step explanation:

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

Firstly, we need to get the equation of the line segment

We have the general equation as;

y = mx + b

m is the slope and b is the y-intercept

So for the slope between (9,6) and (-2,-1); we have

m = (y2-y1)/(x2-x1)

m = (-1-6)/(-2-9) = -7/-11 = 7/11

Mathematically, when two lines are perpendicular, their slopes have a product of -1

Let the slope of the second line be m

m * 7/11 = -1

7m = -11

m = -11/7

The equation of the second line is;

y = mx + b

y = -11x/7 + b

The line passes through the point (3.5,2.5)

So,

2.5 = -11/7(3.5) + b

2.5 = -5.5 + b

b = 2.5 + 5.5

b = 8

so the y-intercept of the perpendicular bisector is 8

Answer: 18 quarts for Part a

9 gallons for part b

Step-by-step explanation:

Answer:

Part A: 18

Part B: 4 1/2

Step-by-step explanation:

Part A:

He needs to triple his recipe by 3, so 12 x 3. So you get 36. The question was how many quarts does he need. So 36 divided by 2 is 18. So 18 quarts is needed!

Part B: We need to find out how many gallons he needs, we already know that he has 18 quart. There are 4 quarts in a gallon. So 18 divided by 4 is 4 1/2.

Good Luck And Hope this helps!

Yours Truely, TheAnimeCatUwU

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. a + d = -8)

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

-TheUnknownScientist

Answer:

slope:  [tex]\frac{1}{2}[/tex]

y-intercept: (0,-3)  

Step-by-step explanation:

First, place the equation in slope-intercept form to identify the slope and y-intercept easily. Isolate the y in the equation to do this:

[tex]4y = 2x-12\\\frac{4}{4} y = \frac{2}{4} x-\frac{12}{4} \\y = \frac{1}{2} x-3[/tex]

Now that the equation is in slope-intercept form, it is much easier to find the slope and y-intercept of the equation. Remember that the slope-intercept formula is [tex]y = mx + b[/tex].

In an equation written in slope-intercept form, the [tex]m[/tex], or the coefficient of the x-term, represents the slope. So, the slope of his equation is [tex]\frac{1}{2}[/tex]. Also, the [tex]b[/tex], or the constant on the right side of the equation, represents the y-intercept. So, the y-intercept of this equation is (0,-3).  

Answer:

The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]

Step-by-step explanation:

Given

[tex]A = 15[/tex] --- area

Required

Find the shortest possible perimeter

Area is calculated as:

[tex]A=l * b[/tex]

This gives:

[tex]l * b = 15[/tex]

Make l the subject

[tex]l=\frac{15}{b}[/tex]

Perimeter is calculated as:

[tex]P =2(l + b)[/tex]

Substitute [tex]l=\frac{15}{b}[/tex]

[tex]P =2(\frac{15}{b} + b})[/tex]

Rewrite as:

[tex]P =2(15b^{-1} + b)[/tex]

Differentiate and minimize;

[tex]P' =2(-15b^{-2} + 1)[/tex]

Minimize by equating P' to 0

[tex]2(-15b^{-2} + 1) = 0[/tex]

Divide through by 2

[tex]-15b^{-2} + 1 = 0[/tex]

[tex]-15b^{-2} = -1[/tex]

Divide through by -1

[tex]15b^{-2} = 1[/tex]

Rewrite as:

[tex]\frac{15}{b^2} = 1[/tex]

Solve for b^2

[tex]b^2 = \frac{15}{1}[/tex]

[tex]b^2 = 15[/tex]

Solve for b

[tex]b = \sqrt{15[/tex]

Recall that: [tex]P =2(\frac{15}{b} + b})[/tex]

[tex]P = 2 * (\frac{15}{\sqrt{15}} + \sqrt{15})[/tex]

[tex]P = 2 * (\sqrt{15} + \sqrt{15})[/tex]

[tex]P = 2 * (2\sqrt{15})[/tex]

[tex]P = 4\sqrt{15}[/tex]

The shortest possible perimeter is: [tex]4\sqrt{15}[/tex]

Answer:

Let's work this out.

n - 3 / n + 3

n / n + 6

In order to avoid it cancelling out, we only cancelled out one side.

2n = 6

n = 3

Step-by-step explanation:

We can set up an average equation in the form, where x is the last score in the fourth quarter:

[tex]\frac{85 + 88 + 92 + x}{4} = 90[/tex]

[tex]85 + 88+92 + x =360\\\\x = 95[/tex]

She needs at least a 95 on the last quarter to average 90 in all four quarters.

Given:

[tex](\sin x)^2+(\cos x)^2=1[/tex]

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We have,

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

Putting this value in the Pythagorean identity, we get

[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]

[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]

[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]

[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]

[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]

Taking square root on both sides, we get

[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]

[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]

The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Answer:

she can get 11.5 but you have to round down so 11 roses and the vase

Step-by-step explanation:

Answer:

the answer would be A because that makes a straight line.

Answer:

※※※※※※※※※※※※※※※※※

Hi! The answer to your question is [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use the Distance Formula to determine the distance between two points.

- Brooklynn Deka

❣❣

Answer:

258

Step-by-step explanation:

There is a triangle and a parallelogram.

The triangle's area: 1/2 bh is 30

The parallelogram bh is 12*19

add them up and it is 258.

Can you follow me on Brainly?

Thanks!

Answer:

744; 1,206

Step-by-step explanation:

Prism 1:

2(19*13) + 5*12 + 2(5*19)

Multiply all the sides.

494 + 60 + 190 = 744

Prism 2:

2(20*9) + 2(18*20) + 9*14

360 + 720 + 126 = 1,206

Hope this helps (:

Answer:196

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.