(-/4.16 Points] DETAILS SPRECALC7 1.5.042. Solve the equation for the indicated variable. (Enter your answers as a comma-separated list.) A - H1+160) + ; for 00

Answer:

height of the cuboid=480/(12×8)

=480/96

=5 cm

Answer:

At this rate, it would take less than 10 minutes for the temperature of the liquid to rise 52°.

Step-by-step explanation:

The temperature increase is represented by a linear line, which means that the temperature of the liquid is increasing at a constant rate.

Since the liquid took 6.5 minutes to increase 26°, that means the rate of change is 26°/6.5min = 4°/min. This means that the temperature is increasing at 4° per minute.

If the temperature rises at 4°/min, then it will take 15 minutes to rise to 60°.

4°x = 60°, x = 15 minutes

15 minutes = quarter hour

Therefore, the bottom-right answer is false because it will take 13 minutes for the temperature of the liquid to rise 52°.

4°x = 52°, x = 13 minutes

Quantitative research is the procedure of gathering and performing a numerical analysis. It can be used to identify trends and averages, formulate hypotheses, examine causality, and extrapolate findings to larger population.

Statistical methods involved in carrying out a study include planning, designing, collecting data, analysing, drawing meaningful interpretation and reporting of the research findings.

Quantitative research collects information from existing and potential customers using sampling methods and sending out online surveys, online polls, and questionnaires, for example. One of the main characteristics of this type of research is that the results can be depicted in numerical form.

An unofficial relationship is mentioned in a theory. If the frequency of winning is correlated with the frequency of purchasing lottery tickets, for instance. "Then" is followed by a forecast of what will happen if you buy lottery tickets more frequently or less frequently.

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Answer:

look at the explanation

Step-by-step explanation:

A cylindrical container has a height of 14 inches and radius of 3.2 inches. It is filled with pasta, but there is 1.5 inches of space left at the top. How many cubic inches of pasta are in the container?

1. Given

h = 14 in

r = 3.2 in

space = 1.5

V pasta = πr² (h - space)

V pasta = π(3.2)² (14 - 1.5)

V pasta = 402.12 in³

Izzie has a muffin tin that holds 12 muffin cups. Each cup is cylindrical with a diameter of 3 inches and a height of 3.5 inches. Izzie has 544.28 cubic inches of batter. How many muffins can she bake?

2. Given

h = 3.5 in

d = 3 in

V batter = 544.28

V muffin = πd²h/4

V muffin = π(3)²(3.5)/4

V muffin = 24.74 in³

# of muffin = V batter/ V muffin

# of muffin = 544.28/ 24.74 = 22

so she can bake 22 muffins

A popsicle tray has 6 cone-shaped popsicle molds. Each popsicle mold has a diameter of 5.4 cm and a height of 12.9 cm. How many cubic centimeters will one tray hold?

3. Given

d = 5.4 cm

h = 12.9 cm

6 cone-shaped popsicles per tray

V popsicle = πd²h/12

V popsicle = π(5.4)²(12.9)/12

V popsicle = 98.48cm³

V popsicle per tray = (98.48cm³) (6)

V popsicle per tray = 590.88cm³

A cone has a volume of 1,230.88 units³ and a diameter of 14 units. How many units is the height of the cone? Use 3.14 for pi.

4. Given

V cone = 1,230.88 units³

d = 14 units

V cone = πd²h/12

h = 12V cone/πd²

h = 12(1230.88)/ (3.14) (14)²

h = 24 units

A cylinder has a volume of 7,598.8 units³ and a height of 5 units. How many units is the diameter of the cylinder? Use 3.14 for pi.

5. Given

V cylinder = 7,598.8 units³

h = 5 units

V cylinder = πd²h/4

d = √4V cylinder/πh

d = √4(7598.8)/3.14(5) = √1936

d = 44 units

Jana and Haiya are each filing a witch's hat in the shape of a cone with candy. Each hat has a radius of 3.4 inches and height of 12.5 inches. How many cubic inches of candy will both hats hold?

6. Given

r = 3.4 in

h = 12.5 in

V hat = πr²h/3

V hat = π(3.4)²(12.5)/3

V hat = 151.32 in³

V two-hats = 2(151.32 in³ )

V two-hats = 302.64 in³

George has 1 ½ containers of toothpaste in the shape of a cylinder. Each container has a diameter of 4 cm and a height of 15 cm. How many cubic centimeters of toothpaste does he have?

7. Given

d = 4 cm

h = 15 cm

V container = πd²h/4

V container = π(4)²(15)/4

V container = 188.496 cm³

V toothpaste = 1.5V container = 1.5(188.496 cm³)

V toothpaste = 282.74 cm³

A cone has a diameter of 16 units and a height of 11 units. How many cubic units is the volume of the cone?

8. Given

d = 16 units

h = 11 units

V cone = πd²h/12

V cone = π(16)²(11)/12

V cone = 737.23 units³

correct answer is c i think so

The list that represents the simulation is (d) 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

The list is given as:

860583 785814 010122 337198 621549 034076 796495 978078 433330 333153

To illustrate the simulation of four free throws, then each number on the list must have 4 digits

So, we have:

8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

Hence, the list that represents the simulation of four free throws is (d)

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Answer:

t= i/pr

Step-by-step explanation:

We were given that the amount of simple interest earned is given by the formula, i= prt

The above formula is an example of a literal equation.

We want to solve this formula for T.

But we can observe that the product of two letters  are multiplying the letter T.

So we multiply both sides of the literal equation by the reciprocal of PR witch is 1/PR to obtain, I*1/PR=*PRT

This implies that, i/pr=t

We can rewrite this as, t=i/pr

Therefore the correct answer is C.

Answer:

18.65

Step-by-step explanation:

The length of the base of the parallelogram is 16 inches.

What is parallelogram?

A parallelogram is a four-sided plane figure with opposite sides parallel and congruent (having the same length). This means that the opposite sides of a parallelogram are parallel to each other and have the same length. Additionally, the opposite angles of a parallelogram are equal in measure, which means they have the same degree of rotation.

Let's use the information given in the problem to set up an equation and solve for the length of the base.

From the problem, we know that the height of the parallelogram is 5 inches.

h = 5

We also know that the base of the parallelogram is six more than twice the height. Let's use b to represent the length of the base:

b = 2h + 6

Now we can substitute the value we know for the height and solve for the base:

b = 2(5) + 6

b = 10 + 6

b = 16

Therefore, the length of the base of the parallelogram is 16 inches.

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Answer:

Step-by-step explanation:

x

+

2

y

=

6

Subtract  

x

from both sides of the equation.

2

y

=

6

−

x

Divide each term by  

2

and simplify.

Tap for more steps...

y

=

3

−

x

2

Answer:

x=2y-6

Step-by-step explanation:

To solve for x, we need to have one more equation, as there are two variables; x and y. But, we can still get it to this point.

First, we need to get x on to one side.

x=-2y-6

That is all we can do from here.

If you provide another corresponding equation, we can solve for x.

Hope this provides some guidance!!

~gloriouspurpose~

The probability that a driver chosen at random from the community will be in the low-risk category for the next year is 0.8

Probability:

In math,  the ratio of the times an event is likely to occur divided by the total possible events is known as probability.

Given,

Here we need to find if 80% of the drivers in the community are in the low-risk category this year, then the probability that a driver chosen at random from the community will be in the low-risk category for the next year.

Here we know that, 80% of the drivers in the community are in the low-risk category this year.

Then as per the definition of probability, the the community will be in the low-risk category for the next year is calculated as,

=> 80/100

=> 0.8

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Given:

The graph of a relation contains three lines.

The first line goes from (-4,-4) to (-2, 1).

The second line goes from (-2, 1) to (1, 1).

The third line goes from (1, 1) to (6, 4).

There are closed circles at (-4,-4) and (6, 4).

To find:

The domain of the relation.

Solution:

Domain of relation is the set of x-values or the set of input values.

First line is defined from -4 to -2, second line is defined from -2 to 1 and third line is defined from 1 to 6.

There are closed circles at (-4, -4) and (6, 4). It means -4 and -6 are included in the domain.

Since the input values for the given relation is from -4 to 6, where -4 and 6 are included, therefore the domain of the relation is [-4,6].

Answer:

-4

Step-by-step explanation:

No, the tangents cannot intersect outside the circle.

When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees.

tangent

a tangent is the line drawn from an external point and passes through a point on the curve.

One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

curve

A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

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A solution to the given system of linear inequalities is (-6, -1).

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;

2x + 7y ≤ -14     .....equation 1.

-3x + 5y > 5    .....equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region below the solid and dashed line, and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (-6, -1).

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The cases is a proportion of the observations of a sample used in estimating the confidence interval is when variables have only two possible outcomes (option a).

When variables have only two possible outcomes, such as in a binary or dichotomous variable, the proportion of observations in a sample is used to estimate the confidence interval. This is done using techniques such as the confidence interval for a proportion or the Wilson score interval.

Let's briefly discuss the other options:

b. when the population standard deviation is known

When the population standard deviation is known, the confidence interval estimation is based on the z-distribution, not the proportion of observations in the sample. In this case, you would typically use the z-test or z-interval.

c. when a true sampling distribution cannot be estimated

In general, confidence intervals are based on the assumption of a known or estimable sampling distribution. If a true sampling distribution cannot be estimated, it would be challenging to construct a confidence interval using conventional methods.

d. when the degrees of freedom are too large

The degrees of freedom being too large does not specifically relate to the estimation of confidence intervals based on the proportion of observations in a sample. Degrees of freedom typically come into play when estimating confidence intervals for parameters such as means using the t-distribution.

Therefore, among the given options, only option a is correct.

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SOLUTION

We want to use the information in the diagram to prove that

Now, we have been given for number 1

2.

3.

4.

5.

6.

7.

8.

9. and 10. is good (correct)

11.

12.

13.

14.

The initial value is 2000

The constant percentage growth rate is 20%

The growth factor is 1.2

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem, P = 2000(1.2)^t

the initial value = 2000

the base = 1.2

the exponents = t

The base is what says whether it will be an exponential growth or decay. For values of the base greater than 1 is exponential growth

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Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

We know that ,

\(Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h \\ \)

substituting the values in the formula ,

\(Volume = \frac{1}{3} \times 3.14 \times 9 \times 9 \times 13 \\ \\ \implies \: 1.05 \times 81 \times 13 \\ \\ \implies \: 1105.65 \: mm {}^{3} \)

hope helpful ~

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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Using the fundamental counting principle, it is found that there are 84 different paths.

-----------------------------

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

-----------------------------

The movements are independent, which means that the fundamental counting principle is used.

There are:

Thus, the number of different paths is:

\(T = 7 \times 3 \times 4 = 84\)

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Answer:

slope=2 and y intercept =1

Step-by-step explanation:

y=2x+1

y+2(0)+1

y=0+1

y=1

The exponential function that relates the mass of the substance to the number of years since 2005 is: \(y = 600 \times e^(-0.048t)\)  . [Where t is a number of years since 2005, and y is mass of the substance in milligrams at that time.]

An exponential function is a mathematical function of the form\(f(x) = a^x,\) representing a rapid increase or decrease in value as x increases or decreases.

It represents a rapid growth or decay in value as the independent variable changes, and is used to model many natural phenomena such as population growth, compound interest, and radioactive decay.

The radioactive decay of the substance follows an exponential decay model. The formula for exponential decay is:

\(y = a * e^(-rt)\)

Where:

y - amount of substance at time t.

a - initial amount of the substance.

r - decay rate per unit of time.

t - time elapsed since the start of the decay.

In this case, we know that the initial mass of the substance in 2005 was 600 milligrams. We also know that the substance decays by \(4.8\)  % each year, which means that the decay rate per year is \(0.048\)  (4.8% expressed as a decimal).

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Answer:

x=4.5

Step-by-step explanation:

Isolate the variable by dividing by each side by factors that don't contain the variable.

Answer:

Slope = 4

Step-by-step explanation:

The slope of a linear equation can be calculated as;

m = y2-y1/x2-x1

What we have to do here is to select any two points ;

(x1,y1) = (3,8)

(x2,y2) = (6,20)

m = (20-8)/(6-3) = 12/3 = 4

The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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The ratio of c:d:e is 1:3:2.

To find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.

A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.

You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.

It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.

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Answer:

27.9

Step-by-step explanation: