Which is a diagonal through the interior of the cube?


A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Mark this and return

Answer:

(3)(6)

Step-by-step explanation:

I did the quiz

George could have used the expression (0.30)(60) to determine 30% of 60.

George could have used the expression (0.10)(6)(0.10)(60) to determine 30% of 60.

(0.10) represents 10% or 0.10 as a decimal. Since 30% is three times 10%, George can use three instances of (0.10) to represent 30%.

(6) represents the value 6, which is the number being multiplied by the percentage.

(0.10)(60) represents 10% of 60, which is 6.

Multiplying (0.10)(6)(0.10)(60) gives us the result of 6, which is 30% of 60.

Therefore, George could have used the expression (0.10)(6)(0.10)(60) to calculate 30% of 60.

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Answer:

The area of the shaded part is 100 [tex]cm^2[/tex]

Step-by-step explanation:

Subtracting Areas:

We can find the shaded area by adding or subtracting areas.

We'll use the latter method.

The total shape is a rectangle of side lengths 15 cm and 10 cm. Thus its area is:

[tex]A_t=15\ cm\cdot 10\ cm=150\ cm^2[/tex]

The area of each non-shaded square is:

[tex]A_s=(5\ cm)^2=25\ cm^2[/tex]

The total non-shaded area is

[tex]2*A_s=50\ cm^2[/tex]

Thus, the shaded area is:[tex]A_{shaded}=A_t-2*A_s=150 - 50 = 100[/tex]

The area of the shaded part is 100 [tex]cm^2[/tex]

Answer: 385

Step-by-step explanation:

Mean the three groups of 10 kids=35

Total weight of 3 groups (10x35)=350

Mean weight of 3 groups and one boy  ( 35 + 350)=385

Answer:

$78.25

Step-by-step explanation:

Each adult = $11.50

Each child = $8.75

3 adults and 5 children

(11.50 x 3) + (8.75 x 5)

34.5 + 43.75 = $78.25

11.50 x 3 = 34.50

8.75 x 5 = 43.75

34.50 + 43.75 = 78.23

$78.23

Answer:

381

Step-by-step explanation:

2,286/6=381

Good luck!

Answer:

1. Statistical Inference

2. Variability.

3. Outlier.

4. Population.

5. Sample.

Step-by-step explanation:

1. Statistical Inference: Reasoning from a sample to a population. For example, the average common entrance score of all examinees (population l) in New York city or a business that collects data from a random sample of 100 consumers and recorded whether they are male or female.

2. Variability: Successive observations of a system or phenomenon do not produce exactly the same result. For instance, the distribution having the same value of mean can have varying variability.

3. Outlier: An observation that differs considerably from the main body of the data. For example, in the following scores 1, 2, 3, 4, 50, 5, 60; both 50 & 60 is an outlier.

4. Population: The entire collection of objects or outcomes about which data are collected. For example, the number of new born babies in a hospital, the total number of football players in a soccer league.

5. Sample: A subset of the population containing the observed objects or outcomes and the resulting data from these objects or outcomes. For example, the average height of girls in a class having a population of 10 boys and 20 girls.

Answer:

504

Step-by-step explanation:

28, 72 | 2

14, 36 | 2

7, 18 | 2

7, 9 | 3

7, 3 | 3

7, 1 | 7

1, 1 | 1

MMC = 2 . 2 . 2 . 3 . 3 . 7 = 504

Answer:

The ratio of the first term to the common difference is 1 : 2

Step-by-step explanation:

The rule of the sum of the AP is

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex] , where

a is the first number

d is the common difference

n is the position of the number

∵ [tex]S_{10}[/tex] = 4 × [tex]S_{5}[/tex] ⇒ (1)

→ Find [tex]S_{10}[/tex]  and [tex]S_{5}[/tex]

∵ In [tex]S_{10}[/tex] n = 10

∴ [tex]S_{10}=\frac{10}{2}[2a+(10-1)d][/tex]

∴ [tex]S_{10}=5[2a+9d][/tex]

∴ [tex]S_{10}[/tex] = 10a + 45d ⇒ (2)

∵ In [tex]S_{5}[/tex] n = 5

∴ [tex]S_{5}=\frac{5}{2}[2a+(5-1)d][/tex]

∴ [tex]S_{5}=2.5[2a+4d][/tex]

∴ [tex]S_{5}[/tex] = 5a + 10d ⇒ (3)

→ Substitute (2) and (3) in (1)

∵ 10a + 45d = 4[5a + 10d]

∴ 10a +45d = 20a + 40d

→ Subtract 40d from both sides

∴ 10a + 45d - 40d = 20a + 40d - 40d

∴ 10a + 5d = 20a

→ Subtract 10a from both sides

∴ 10a - 10a + 5d = 20a - 10a

∴ 5d = 10a

→ Divide both sides by 5

∴ d = 2a

→ That means d is twice a or a is half d

∴ a : d = 1 : 2

The ratio of the first term to the common difference is 1 : 2

9514 1404 393

Answer:

Step-by-step explanation:

1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...

  y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)

  y = x^2 +x +1

__

2. The zeros appear to be at x=1 and x=4, so the factored form of the equation is ...

  y = a(x -1)(x -4)

At x = 0, this is ...

  12 = a(-1)(-4)

  3 = a

So, the equation is ...

  y = 3x^2 -15x +12

The values at the two points of interest are ...

  y = 3(-2-1)(-2-4) = 54 . . . . point (-2, 54)

  y = 3(5 -1)(5 -4) = 12 . . . . point (5, 12)

__

3. Using the vertex shown, the vertex form of the equation is ...

  y = a(x -2)^2 +7

Filling in the point (-2, -1), we can find the value of a:

  -1 = a(-2-2)^2 +7

  -8 = 16a

  a = -8/16 = -1/2

So, the equation is ...

  y = -1/2x^2 +2x +5

For x=0, the y-value is 5. The y-intercept is (0, 5).

Answer:

9514 1404 393

y = x^2 +x +1; (-1/2, 3/4)

y = 3x^2 -15x +12; (-2, 54), (5, 12)

y = -1/2x^2 +2x +5; (0, 5)  

1. The graph looks like the vertex is at x = -1/2. So we can start with the equation y = (x +1/2)^2 +k. At x=0, this becomes 1 = 1/4 +k, or k = 3/4. The leading coefficient of 1 is consistent with the other points shown, so the equation is ...

 y = (x +1/2)^2 +3/4 . . . . vertex is (-1/2, 3/4)

 y = x^2 +x +1

Answer:

x = 1.5

or

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

Step-by-step explanation:

First, move +7 to the other side of equation on the answer side and change it to it's absolute (in this case I mean negative) value:

3x + x = 13 - 7

Next, Simplify the equation:

4x = 6

Finally, Celebrate! You just (hopefully) learned how to solve this!

x = 1.5

or

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

Pls Brainliest! It would mean and help a lot! ; )

Answer:

-2(x-8)=18-3(5x+6)

-2x+16=18-15x-18

-2x+15x=18-18+16

13x=16

X=16/13

Answer:

[tex]x=-\frac{16}{13}[/tex]

Step-by-step explanation:

[tex]-2(x-8)=18-3(5x+6)[/tex]

Start by distributing [tex]-2[/tex] into [tex](x-8)[/tex], and [tex]-3[/tex] into [tex](5x+6)[/tex]:

[tex]-2x+16=18-15x-18[/tex]

Combine like terms:

[tex]-2x+16=-15x[/tex]

Subtract [tex]16[/tex] from both sides of the equation:

[tex]-2x=-15x-16[/tex]

Add [tex]15x[/tex] to both sides of the equation:

[tex]-13x=16[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-13[/tex]:

[tex]x=-\frac{16}{13}[/tex]

Answer:

thousandths

hope this helpsss

Answer:

Step-by-step explanation:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.

Answer:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.

Step-by-step explanation:

Step-by-step explanation:

Enter a problem...

Calculus Examples

Popular Problems Calculus Find the Asymptotes f(x)=(2x^2)/(x^2-1)

f

(

x

)

=

2

x

2

x

2

−

1

Find where the expression

2

x

2

x

2

−

1

is undefined.

x

=

−

1

,

x

=

1

The vertical asymptotes occur at areas of infinite discontinuity.

x

=

−

1

,

1

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

2

m

=

2

Since

n

=

m

, the horizontal asymptote is the line

y

=

a

b

where

a

=

2

and

b

=

1

.

y

=

2

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

−

1

,

1

Horizontal Asymptotes:

y

=

2

No Oblique Asymptotes

Answer:

Step-by-step explanation:

Answer:

B, D, and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠EGD = ∠FGH

(4x+8)° = 64°

4x = 64 - 8

x = 56 / 4

x = 14

Answer:

-116/37

Step-by-step explanation:

Answer:

z = -3.1

Step-by-step explanation:

just divide both sides by -3.7, you get z = -3.135

Answer:

The answer would be y=-1/3x+1.

Step-by-step explanation:

To find the slope, you must use the formula y2-y1/x2-x1. That would make it 1-2/0-(-3) which the slope is -1/3. Now, using the formula y-y1=m(x-x1) which would be y-2=-1/3(x-(-3) if you plug it in. Solving the equation, you would get y=-1/3x+1.

A wave will travel 6.7 mile in 1 hour.

Given that,

A wave travels 1/3 mile in 1/20 hour.

How to calculate the distance in given time?

To calculate the value of distance at time is given as,

Distance = Speed X Time

To given condition wave travels 1/3 mile in 1/20 hour,

We calculate,

⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{20}[/tex]

Divide a fraction by multiplying its reciprocal,

⇒ [tex]\frac{20}{3}[/tex]

⇒ [tex]6.66667[/tex]

⇒[tex]6.7[/tex] mile

So a wave will travel 6.7 mile in 1 hour.

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Answer:

D

Step-by-step explanation:

because -3/8 is also a neg- so both answers would be on the left of (0) but -3/8 would be closer to (0) than 1 so that means it would be on the right of 1

Answer:

Step-by-step explanation:

4

Answer:

|x-112|=4

So it’s B.

Answer:

12%

Step-by-step explanation:

A percent is any fraction with 100 as a denominator. So [tex]\frac{12}{100}[/tex] is the same as 12% and 4 over 100 is the same as 4%

Here's an easy was to remember, there are 100 pennies to make a dollar that like per-CENT it's out of 100.

Hope that helps and have a great day!

Answer:

12%

Step-by-step explanation:

your question isn't giving me an option to answer but do 12 divided by 100 and you get a decimal, then multiply it by 100 which will give you the percentage. In this case is would be 12%

I hope this helps:)

Answer:

2.08

I just multiplied 0.0052% by 40000 on my calculator

Answer:

15%

Step-by-step explanation:

I'm just built like that

Answer:

28cm

Step-by-step explanation:

ive done this question before

Answer:

28 cm

Step-by-step explanation:

This is the answer because:

Perimeter = L + W + L + W

Area =  L x W

1) Since the shape is a square, there has to be two of the same factors that multiply.

_ x _ = 49

2) We know 7 x 7 = 49, therefore, w just have to add 7 + 7 + 7 + 7 which equals 28 cm

Therefore, the answer is 28 cm

Hope this helps! :D

Answer:

  x = 4/5

Step-by-step explanation:

Subtract 3/x+4, then multiply by x/5:

  [tex]\dfrac{3}{x}+9=\dfrac{7}{x}+4\\\\5=\dfrac{4}{x}\\\\\boxed{x=\dfrac{4}{5}}[/tex]

_____

If you meant 3/(x+9) = 7/(x+4), you need to write it with parentheses around the denominator. (In that case, x=-12.75.)