the question is on the sheet.​

Step-by-step explanation:

The answer is gotten by 5% of 70

5/100 × 70/1

= 35/10

= 3.5

Answer: $73.50

Step-by-step explanation:

First, we need to find what is 5% worth of 70 bucks. We would divide 5 by 100 since percents are based on 100 which gets us 0.05. Next do 0.05 * 70 = 3.5. Means that she'll pay $3.50 on top of the 70 bucks, so add the two together, common sense: $73.50. Have a good day ;)

Step-by-step explanation:

y - 6 = -12(x + 4)

y = -12x - 48 + 6

y = -12x - 42

Option → #3

Answer:

− 22 d − 102

Step-by-step explanation:

Answer:

True................

Answer:

True

Step-by-step explanation:

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Answer:

I am solving this Question since morning but I am not able to complete

Answer:

\( {7}^{3} = 7 \times 7 \times 7 = 147 {m}^{3} \\ to \: calculate \: the \: volume \: of \: a \: cube \: we \: need \: to \: use \: this \: formula \\ {x}^{3} \\ x = side \: length\)

Answer:

Are u okay?

Step-by-step explanation:

Answer:

48 and 49

Step-by-step explanation:

48 + 49 = 97. Therefore the 2 numbers are 48 and 49

The two-way frequency table to display the data will be:

                         Fishing         Not Fishing Total

Swimming        15                     30           45

Not Swimming 5                 45           50

Total                  20                 75         95

20% of 120 people is 24 people, but since 20% of the people went fishing, we know that 24 people went fishing.

75% of 24 people who went fishing is 18 people.

50% of 96 people who did not go fishing is 48 people.

Total number of people who went swimming is 45 (15+30)

Total number of people who did not go swimming is 50 (5+45)

Total number of people in the survey is 95 (24+71)

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In a survey of 120 people who visited the a lake, 20% went fishing.of those who went fishing,75% also went swimming. Of those who did not go fishing ,50% went swimming. Construct a two-way frequency table to display the data.

Answer:

\(y=\dfrac{\boxed{1}}{\boxed{2}}\:x+\boxed{4}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Therefore, the slope of the given line  y = -2x + 5  is -2.

If two lines are perpendicular to each other, their slopes are negative reciprocals.  

Therefore, the slope of a perpendicular line ¹/₂.

\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)

Substitute the found slope and point (-4, 2) into the point-slope formula:

\(\implies y-2=\dfrac{1}{2}(x-(-4))\)

Rearrange to slope-intercept form:

\(\implies y-2=\dfrac{1}{2}(x+4)\)

\(\implies y-2=\dfrac{1}{2}x+2\)

\(\implies y=\dfrac{1}{2}x+4\)

Answer:

c

Step-by-step explanation:

c

Answer: The distance between (27, -8) and (15, -3) is 13 units.

Step-by-step explanation:

Use the distance formula to calculate the distance between these two points. Just by plugging in the given ordered pairs, you can simplify and solve down to get an answer of 13 units.

Answer:

2/5

Step-by-step explanation:

14 ÷(14+21)

Calculate the sum- 14/35

Reduce- 2/5

P(win)= 2/5

Answer:

2/5

Step-by-step explanation:

Answer:

false cause it's not the constant

The general solution of the given differential equation is x(t) = -C/(t³(1 + (7/3t²))).

To find the general solution of the given differential equation:

dx/dt = x² + 7t²

We'll separate the variables and solve the resulting separable differential equation.

First, let's write the equation in the standard form:

dx/x² = dt + 7t²

Now, we can integrate both sides:

∫(dx/x²) = ∫(dt + 7t²)

Integrating the left side gives us:

-1/x = t + (7/3)t³ + C₁

Where C₁ is the constant of integration.

To solve for x, we can take the reciprocal of both sides:

x = -1/(t + (7/3)t³ + C₁)

Now, we can simplify the expression further:

x = -1/(t³(1 + (7/3t²)) + C₁)

To find the general solution, we rewrite the expression using a new constant C = -1/C₁:

x = -C/(t³(1 + (7/3t²)))

Therefore, the general solution of the given differential equation is:

x(t) = -C/(t³(1 + (7/3t²)))

Where C is an arbitrary constant.

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Answer:

1. y=2x-3

2. y=4x-2

Step-by-step explanation:

Answer:

C. 159.0 square inches

Step-by-step explanation:

Given that

Ted ate 3 pieces of the pizza

We need to find out the area of the remaining pizza in the case when the pizza diameter is 18 inches

Since the large circular pizza is divided into 8 equal slices

Now the radius of a pizza is

= 18 ÷ 2

= 9 inches

Now the angle subtended by each pizza is

= 360 degrees ÷ 9 inches

= 45 degrees

Now the area of the each pizza is

= \(\theta\) ÷ 360 × πr^2

= 45 ÷ 360 × 3.14 × 9^2

= 31.7925

Now the area of the remaining pizza is

= 5 × 31.7925

= 158.9625

= 159 square inches

Answer:

x is amount of times your refil it

x+5

Hope This Helps!!!

The independent variable in this situation where fuel efficiency of a car decreases as tire pressure decreases is the Tire pressure.

Option B is correct.

The independent variable in a research study or experiment is described as  what the researcher is changing in the study or experiment

In the scenario above,  the tire pressure is being intentionally varied to observe its effect on the fuel efficiency of the car.

Researchers can study the cause-and-effect relationship between variables and gain a better understanding of how different factors influence the outcome of interest, in this case, the fuel efficiency of the car through the identification and manipulation the independent variable.

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Step-by-step explanation:

got the answer see in the image :)

When we evaluate the quotient functions, (mn)(x) for x = -3

(mn)(-3) = 9 and (m/n) (x), x ≠ 0

To evaluate the quotient function (mn)(x) for x = -3, we  substituting x = -3 into the function mn(x).

This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.

We then need to evaluate (m/n)(x), x ≠ 0.

This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine

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Let 't' be the time at which Andre catches up with Morgan.

We know by definition of distance that:

where 's' is the speed and 't' is the time.

In this case, the distance that Morgan travels in time t is:

Since Andre starts 2 hours late, we have that in his case, the expression would be:

Equating both expressions and solving for t, we get the following:

therefore, Morgan would have driven for 20 hours before Andre catches up to him

Answer:

c = 11.46 yd

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ c² = (8.1)² + (8.1)²

→ c² = 65.61 + 65.61

→ c² = 131.22

→ c = √131.22

→ [ c = 11.46 yd ]

Hence, value of c is 11.46 yd.