1) y = 7x+12
y=-8x-3 I need this step by step I don’t understand

Step-by-step explanation:

this creates 2 similar triangles.

that means all the angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

10 × f = 140

f = 140 / 10 = 14

now the same factor applies also to the relation of the heights :

5 × 14 = 70 ft

the tree is 70 ft tall.

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following expression:

When it is a quotient, and it is the same base, the exponents are subtracted, therefore

Using translation concepts, function g(x) is given as follows:

g(x) = |x - 3|.

We have,

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

here, we have,

Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = |x|, hence:

we translate the graph of f(x) = |x|,  3 spaces to the right,

then the equation becomes g(x) = |x - 3|

so, we get, g(x) = |x - 3|.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

Answer:

that's not a polynomial

Step-by-step explanation:

you should re write your question very well

Answer:

10

Step-by-step explanation:

\(70\div7=10\)

There are 10 packages of paper in each pile.

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

Check:

There are 7 piles.

Thus, there are \(7*10=70\) total packages of paper.

The proportion of persons who are 38 years old or older is 0.25.

Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal. It is a mathematical comparison between two numbers.

Proportion = (number of persons 38 years old or older) / (total number of persons)

For example, if there are 100 persons and 25 of them are 38 years old or older, the proportion would be:
Proportion = 25 / 100 = 0.25

To round to 2 decimal places, we would round 0.25 to 0.25.

So the proportion of persons who are 38 years old or older is 0.25, or 25%.

Know more about proportion here:

https://brainly.com/question/1496357

#SPJ11

Answer:

-25(5)

Step-by-step explanation:

-25 ×5 = -125

The volume of the solid is 1789.33.

Volume is defined as a capacity occupied by a three-dimensional solid shape. In any shape, it is hard to visualize but can be compared between shapes. For example, the volume of a compass box is greater than the volume of an eraser placed inside it. For calculating the area of any two-dimensional shape, we divide the portion into equal square units. Similarly, while calculating the volume of solid shapes we will divide it into equal cubical units. The S.I. unit of volume is cubic meter (m3) since volume is a quantity of the three-dimensional space occupied by a shape or surface. However, the most commonly used unit for volume is liter. Apart from this, large and small volumes are measured in other units like milliliter (ml), pints, gallons, and others.

For a square base parallel to the x-axis, you can use the formula:

\(V = \int\limits^a_b {f(y)}^{2} \, dy\)

The equation for a circle is x² + y² = r²

⇒ x = √(11² - y²) = √(121 - y²)

Then, if we consider that for a height y, the length x is double, we have that the length of each cross-section is given by:

f(y) = 2√(81 -y²)

With this, we can propose the following integral to obtain the volume that they are asking us:

\(V = \int\limits^{11}_0 {f(y)^{2} } \, dx \\V = \int\limits^{11}_0 {(2\sqrt{121-y^{2} } )^{2}} \, dx \\V = 4(121y - \frac{y^{3} }{3} )\)

We get that the volume is V=1789.33.

Thus, the volume of the solid is 1789.33.

To learn more about volume, visit brainly.com/question/1578538

#SPJ4

The solid has a volume of 1789.33.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. A compass box, for instance, has a bigger volume than an eraser inserted inside of it. We split the area into equal square units to determine the area of any two-dimensional form. Similarly to this, when computing the volume of solid things, we will divide it into equal cubical units. The cubic meter is the SI unit for volume because it measures how much three-dimensional space is occupied by a form or surface (m3). However, the liter is the unit of volume that is most frequently used. Other units used to measure large and small amounts include milliliters (ml), pints, gallons, and others.

The formula is: for a square base parallel to the x-axis.

\(V=\int\limits^a_b {f}(y)^2 \, dy\)

The circle's equation is x2 + y2 = r2.

⇒ x = √(11² - y²) = √(121 - y²)

The length of each cross-section is thus determined by: if we assume that at a height y, the length x is twofold.

f(y) = 2√(81 -y²)

As a result, we can offer the following integral to acquire the requested volume:

\(V=\int\limits^1_0 {f}(y)^2 \, dx\)

\(V= \int\limits^1_0 {(2\sqrt{(121-y^2)^2} } \, dx\)

\(V=4(121y-\frac{y^3}{3} )\)

The volume is determined to be V=1789.33.

As a result, the solid has a volume of 1789.33.

The complete question is:-

Use the general slicing method to find the volume of the following solid.

The solid with a semicircular base of radius 11 whose cross sections perpendicular to the base and parallel to the diameter are squares. Place the semicircle on the xy-plane so that its diameter is on the x-axis and it is centered on the y-axis. Set up the integral that gives the volume of the solid. Use increasing limits of integration.

To learn more about volume, refer:-

https://brainly.com/question/1578538

#SPJ4

The best type of graph to display the results of this survey would be a histogram. A histogram is a graph that uses bars to represent the frequency distribution of a set of data. In this case, the shoe sizes would be grouped into intervals (e.g., 1-3, 4-6, 7-9, etc.) and the height of each bar would represent the number of students who have shoe sizes within that interval. A histogram is an effective way to show the overall pattern of the distribution of shoe sizes in the class.

A circle graph, also known as a pie chart, is useful for showing parts of a whole. It may not be the best choice for this survey since it does not show the distribution of shoe sizes as effectively as a histogram would.

A line plot, also known as a dot plot, is useful for showing the frequency of individual values in a small data set. It may not be the best choice for this survey since it may not be practical to list every individual shoe size.

A box plot, also known as a box-and-whisker plot, is useful for showing the distribution of a large data set. It may not be the best choice for this survey since the data set is likely to be small, and a histogram would be more appropriate for displaying the results.

Answer: A. 397 miles

Step-by-step explanation:

Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.

409 + 239 = 648

Now, subtract the total number of miles traveled from the original distance.

1,045 - 648 = 397

Answer:

397

Step-by-step explanation:

To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397

A. Poor understanding of HIV

B. Cognitive impairment

C. Substance abuse

D. Unstable housing

False. A p-value is used to determine the probability of an observed correlation occurring by chance, and a statistically significant p-value indicates that the observed correlation is not due to random chance, but rather a real correlation between the two variables.

A p-value is calculated by comparing the observed correlation of the two variables to the expected correlation from a randomly generated data set. The lower the p-value, the greater the chance that the observed correlation is not due to random chance. If the p-value is below a predetermined threshold (often set at 0.05) then the correlation is considered statistically significant and not due to random chance. Therefore, a p-value for correlation which is statistically significant implies that the correlation is real, and not due to random chance.

For more such questions on P- value

https://brainly.com/question/13786078

#SPJ11

Answer: - 11/3

Step-by-step explanation:

-4 5/9 + 8/9

= 8/9 - 41/9

=   -33/9

simplest form=  -11/3

The line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

To graph the two parabolas y = x^2 and y = -x^2 + 2x - 5 in the same coordinate plane, we can use a tool such as a graphing calculator or plot the points of the parabolas by hand. The first parabola, y = x^2, will be a downward-facing parabola centered at the origin with a vertex at (0,0), while the second parabola, y = -x^2 + 2x - 5, will be an upward-facing parabola that is shifted to the right by 1 unit and downward by 5 units.

Next, we want to find the lines that are simultaneously tangent to both parabolas. To do this, we find the derivative of each parabolic function, which gives us the slope of the tangent line at any point on the graph.

For the first parabola, y = x^2, the derivative is 2x, so the slope of the tangent line at any point (x, x^2) is 2x.

For the second parabola, y = -x^2 + 2x - 5, the derivative is 2x - 2, so the slope of the tangent line at any point (x, -x^2 + 2x - 5) is 2x - 2.

To find the equations of the two lines simultaneously tangent to both parabolas, we set the slopes equal to each other and solve for x. This gives us the x-coordinate of the points of tangency on both parabolas, and from there we can use the original functions to find the y-coordinate.

For example, setting the slopes equal to each other, we get:

2x = 2x - 2

0 = -2

So, x = 0, and this point (0, 0) lies on both parabolas. Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

We can repeat this process to find the equation of the second tangent line.

Note: There may be other points of tangency that are not shown on the graph, and these can be found using the same process.

Therefore, the line that is tangent to both parabolas at this point will have the slope 2x = 2 * 0 = 0 and y-intercept equal to 0, giving us the equation y = 0.

To learn more about parabolas,

Visit; brainly.com/question/28973830

#SPJ4

Answer:

21, 9

Step-by-step explanation:

If girls are x, then boys are x + 12

x + x + 12 = 30

2x + 12 =  30

2x = 18

x = 9

There are 9 girls and 21 boys

The area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom is 0.0125.

In statistics, the chi-square distribution is a continuous probability distribution that is widely used in inferential statistics. The area to the right of a certain value can be calculated using a chi-square table or a computer program. In this case, we want to find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. Using a chi-square calculator or a chi-square table, we can determine that this area is 0.0125. This means that there is a 1.25% chance of getting a chi-square value greater than 23.337 with 12 degrees of freedom. This type of calculation is often used in hypothesis testing and other statistical analyses.

Learn more about distribution here

https://brainly.com/question/29368683

#SPJ11

Answer:

16

Step-by-step explanation:

4 hours 32 dollars

half of 32 is 16

The statement is always true. In a circle, a central angle is an angle whose vertex is at the center of the circle. The corresponding arc is the arc on the circle that is intercepted by the central angle.

If a central angle is obtuse, it means that its measure is greater than 90 degrees but less than 180 degrees. In this case, the corresponding arc will be larger than a semicircle, which is defined as a 180-degree arc. Therefore, the corresponding arc will be a major arc, as it spans more than 180 degrees of the circumference of the circle.

Thus, whenever a central angle is obtuse, its corresponding arc will always be a major arc.

To know more about circle:

https://brainly.com/question/17357009

#SPJ4

By making linear equations for given situation, the vendor sold 34 hot dogs and 84 sodas at the football game.

What is a linear equation, exactly?

A linear equation is an algebraic equation in which each term a constant or variable. In other words, a linear equation is an equation of the form:

y = mx + b

where y and x are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

Now,

Let x be the variable or number of hot dogs sold.

Then, according to the problem, the number of sodas sold is 50 more than the number of hot dogs sold. Therefore, the number of sodas sold can be represented as (x + 50).

We know that the total number of sodas and hot dogs sold is 118, so we can write an equation:

x + (x + 50) = 118

Simplifying and solving for x:

2x + 50 = 118

2x = 68

x = 34

Therefore, the number of hot dogs sold is 34, and the number of sodas sold is (x + 50) = 84.

So, the vendor sold 34 hot dogs and 84 sodas at the football game.

To know about linear equations visit the link

brainly.com/question/29739212

#SPJ1

We have to put the triangular side as the base.

So, the height of the tent is signified by the red line, h.

Shown below:

The volume of the triangular prism is area of triangle x height

Let's find the area of the triangle, A_T:

The height is 10.

The volume is 280.

Substituting into the formula, let's sovle for "h". Shown below:

The inequality that represents the amounts in dollars that could be deposited in a new checking account is a ≥ 75.

This inequality states that "a" must be greater than or equal to 75 dollars, which is the minimum deposit required for opening a new checking account.

the inequality "a ≥ 75" represents the amounts in dollars that could be deposited in a new checking account, where "a" is the amount being deposited and must be greater than or equal to $75.

To represent this mathematically, we can use an inequality. An inequality is a statement that compares two values using symbols like "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "! =" (not equal to).

To know more about Inequality:

https://brainly.com/question/30231190

#SPJ4

Answer:

x = 6

Step-by-step explanation:

The 2 angles given are same- side interior angles and are supplementary, thus

4x + 29 + 12x + 55 = 180, that is

16x + 84 = 180 ( subtract 84 from both sides )

16x = 96 ( divide both sides by 16 )

x = 6

The equations for Bulk Volume of a reservoir in ft³ is VB = A*h and in barrels is VB = (A*h) / 5.615. The equations for Pore Volume of a reservoir in ft³ is VP = φ*VB and in barrels is VP = (φ*VB)/5.615. The equations for Hydrocarbon Pore Volume in ft³ is VHC = φ*S*VB and in barrels is VHC = (φ*S*VB)/5.615.

The equations for calculating the bulk volume, pore volume, and hydrocarbon pore volume of a reservoir are as follows:

1. Bulk Volume (VB):

Where:

VB = Bulk Volume

A = Cross-sectional area of the reservoir in square feet (ft²)

h = Thickness of the reservoir in feet (ft)

2. Pore Volume (VP):

Where:

VP = Pore Volume

φ = Porosity of the reservoir (dimensionless)

VB = Bulk Volume

3. Hydrocarbon Pore Volume (VHC):

Where:

VHC = Hydrocarbon Pore Volume

φ = Porosity of the reservoir (dimensionless)

S = Saturation of hydrocarbons in the reservoir (dimensionless)

VB = Bulk Volume

The conversion factor from cubic feet (ft³) to barrels (bbl) is 5.615.

To know more about Bulk Volume, refer to the link :

https://brainly.com/question/29571126#

#SPJ11

(a) To prove that the set {{1}, {2}, {3}, ...} is countable, we can establish a one-to-one correspondence between this set and the set of natural numbers (N).

Let's define a function f: N -> {{1}, {2}, {3}, ...} as follows:

f(n) = {n}

This function maps each natural number n to the set containing only n as its element. It is evident that this function is both injective and surjective, establishing a one-to-one correspondence between N and {{1}, {2}, {3}, ...}.

Since N is a countable set, and there exists a one-to-one correspondence between N and {{1}, {2}, {3}, ...}, the set {{1}, {2}, {3}, ...} is also countable.

(b) The set Z+ x Z+ represents the set of all ordered pairs of positive integers. To prove that this set is countable, we can use the fact that the Cartesian product of two countable sets is countable.

Both the set of positive integers (Z+) and the set of natural numbers (N) are countable. We can establish a one-to-one correspondence between Z+ and N as follows:

1. Map the positive even integers to the natural numbers: f(n) = 2n, where n is a natural number.

2. Map the positive odd integers to the natural numbers: f(n) = 2n - 1, where n is a natural number.

Both of these mappings are bijective, ensuring that every positive integer has a unique corresponding natural number.

Since the Cartesian product of two countable sets is countable, Z+ x Z+ is countable as well.

Therefore, the set Z+ x Z+ is countable.

Learn more about cartesian product here:

https://brainly.com/question/22989508

#SPJ11

Answer:

x (curvy E) <-infinity.-4] U[1,2]

Step-by-step explanation:

i would explain  but its ALOT of work

hope it helps!

The answer is \(x=\frac{11}{8}\)

First you must simplify the inequality

2x+3≤10x-8

Then, you must subtract 10 on each side

-8x+3≤-8

Subtract 3 on both sides

-8x≤-11

Divide both sides by -8

\(x=\frac{11}{8}\)

The supplied returns' variance is around 0.02495.

To calculate the variance, we need to follow these steps:

Step 1: Calculate the average return (mean) of the given returns.

Step 2: Calculate the squared differences between each return and the mean.

Step 3: Calculate the average of the squared differences, which gives us the variance.

Let's perform these calculations:

Step 1:

Average return (mean) = (16% + 6% - 25% - 3%) / 4 = -6%

Step 2:

Squared differences:

(16% - (-6%))² = (22%)² = 0.0484

(6% - (-6%))² = (12%)² = 0.0144

(-25% - (-6%))² = (-19%)² = 0.0361

(-3% - (-6%))² = (3%)² = 0.0009

Step 3:

Average of the squared differences:

(0.0484 + 0.0144 + 0.0361 + 0.0009) / 4 = 0.0998 / 4 = 0.02495

Therefore, the variance of the given returns is approximately 0.02495.

Learn more about Variance on:

https://brainly.com/question/15707019

#SPJ11