A Skier descended down a mountain at a rate of 14 feet per second.what was his total change in elevation after 8 seconds?

Z could be located either at -9 - 14 = -23 on the left side or at -9 + 14 = 5 on the right side of Y, depending on which side of Y the Z is located.

Given, YZ = 14 and Y lies at -9We need to find out where Z could be located. Since YZ is a straight line, it can be either on the left or right side of Y.

Let's assume Z is on the right side of Y. In that case, the distance between Y and Z would be positive.

So, we can add the distance from Y to Z on the right side of Y as:

YZ = YZ on right side YZ = Z - YYZ on right side = Z - (-9)YZ on right side = Z + 9

Similarly, if Z is on the left side of Y, the distance between Y and Z would be negative.

So, we can add the distance from Y to Z on the left side of Y as:

YZ = YZ on left side YZ = Y - ZYZ on left side = (-9) - ZZ on the left side = -9 - YZ on the right side = Z + 9

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Answer:

"Ms. Jimenez has 22 students in her class: 14 boys and 8 girls."

Step-by-step explanation:

The student said the incorrect number. There are 14 boys and 8 girls.

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

11 hours

Step-by-step explanation:

153 divided by 9 (which is 17) 17$ per hour so add 17 and 17 together which would be 34 and add it to 153 which would be 187$ he worked 2 more hours so in total he worked 11 hours.

and i know that was a bad explanation but its whatever hope this helped.

The formula for the nth term (an) of the arithmetic sequence is:

an = 2.7 - 0.2n

The formula for the nth term (an) of an arithmetic sequence is:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the term number.

Using the given values, we have:

a1 = 2.5

d = -0.2

Substituting these values into the formula, we get:

an = 2.5 + (n-1)(-0.2)

Simplifying this expression, we get:

an = 2.7 - 0.2n

Therefore, the formula for the nth term (an) of the arithmetic sequence is:

an = 2.7 - 0.2n

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The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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The original series ∑n=0[infinity]15 6n is always larger than the convergent series ∑n=0[infinity] 6n, we can also conclude that the original series converges by the direct comparison test.

To determine whether the series ∑n=0[infinity]15 6n converges or diverges, we can use the direct comparison test.
First, we need to find a series that is easier to analyze but still has a similar behavior as the original series.

In this case, we can compare the original series to the series ∑n=0[infinity] 6n.

We can see that the terms of the original series are always larger than the terms of the comparison series since the original series starts at n=0 and goes up to n=15 while the comparison series starts at n=0 and goes up to infinity.

Therefore, we can say that for all n ≥ 15,

6n ≤ 15 × 6n

Now, we can compare the two series using the direct comparison test. Since

∑n=0[infinity] 15 × 6n

converges (it is a geometric series with a ratio 6/15 < 1), we can conclude that
∑n=0[infinity] 6n

converges as well.

Since the original series ∑n=0[infinity]15 6n is always larger than the convergent series ∑n=0[infinity] 6n, we can also conclude that the original series converges by the direct comparison test.

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0.38  is the expected number of times we will flip a head by probability.

How does probability explain work?

F = zPn * pⁿ *q^(z-n)

we will get the probabilities from 6 to 10.

For 6 successful outcomes

F6 = 10C6 *0.5⁶ * 0.5⁴ = 105/512

F7 =10C7*0.5⁷ * 0.5³ =15/128

F8=10C8 * 0.5⁸ *0.5² = 45/1024

F9 = 5/512

F10 = 1/1024

the total of each individual probability from 6 to 10 is equal to the likelihood of getting at least 6 heads, which is equal to

Ft = 1/1024 + 5/512+45/1024+15/128+105/512

         = 193/512

         = 0.38

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The vector equation of the line passing through P(4,3) and Q(1,0) is r = (4 + 3t, 3 + 3t), where t is a parameter.

To find the vector equation of the line passing through points P(4,3) and Q(1,0), we need to determine the direction vector of the line and a point on the line.

The direction vector of the line can be obtained by subtracting the coordinates of one point from the coordinates of the other point. In this case, we can subtract the coordinates of point Q from the coordinates of point P to get the direction vector:

Direction vector = PQ = P - Q = (4, 3) - (1, 0) = (4 - 1, 3 - 0) = (3, 3)

Now, let's choose point P(4,3) as a point on the line.

The vector equation of a line passing through a given point P and with a direction vector d can be written as:

r = P + td

where r is the position vector of any point on the line, t is a parameter, and d is the direction vector.

Substituting the values we have:

r = (4, 3) + t(3, 3)

Expanding the equation:

r = (4 + 3t, 3 + 3t)

Therefore, the vector equation of the line passing through P(4,3) and Q(1,0) is r = (4 + 3t, 3 + 3t), where t is a parameter.

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The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..

please mark it as brainliest ❤️❤️ and follow me..

Answer:

x=5 is the answer

Step-by-step explanation:

hope this helped

Using the distributive property, the expression 4(2.9x - 7.8y) - 6 expands to

The distributive property states that when you have a number or term multiplied by a sum or difference in parentheses, you distribute the multiplication to each term inside the parentheses.

In the given expression, we have:

4(2.9x - 7.8y) - 6

multiply 4 by each term inside the parentheses:

4 * 2.9x = 11.6x

4 * (-7.8y) = -31.2y

rewrite the expression:

11.6x - 31.2y - 6

using the distributive property, the expression 4(2.9x - 7.8y) - 6 expands to 11.6x - 31.2y - 6.

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the square root of 4 is 2

Answer:

a = -15 when you add -28 f by 13 f

b -51 f lower if you subtract st Louis by chicago

Answer:

3(4m - 3n)

Step-by-step explanation:

\(12m - 9n\)

\( = 3(4m - 3n)\)

Answer:

Length + Width = 8 ft

Step-by-step explanation:

"The perimeter of a rectangle is 16 ft."

A perimeter is the sum of four sides of a rectangle.

OR...

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

A rectangle has "matching sides", so...

Length: Side 1 = Side 3

Width: Side 2 = Side 4

Therefore we can just say that:

Perimeter = (Length * 2) + (Width * 2)

We can pull the 2 out:

Perimeter = 2 * (Length + Width)

Since Perimeter = 18

16 = 2 * (Length + Width)

Divide both sides by 2

8 = Length + Width

Length + Width = 8 ft

Answer:

Q1:

\(-5\sqrt{27c^2}\)

\(-5\sqrt{27}\sqrt{c^2}\)

\(-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}\)

\(-5\times3\sqrt{3}\sqrt{c^2}\)

\(-5\times3\sqrt{3}c\)

\(-15\sqrt{3}c\)

Q2:

\(5\sqrt{72}-3\sqrt{32}\)

\(5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}\)

\(5\times6\sqrt{2}-3\times4\sqrt{2}\)

\(30\sqrt{2}-12\sqrt{2}\)

\(18\sqrt{2}\)

Q3:

\(\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}\)

\(\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}\)

\(6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}\)

\(16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}\)

Q4:

\(\sqrt{15n^2}\sqrt{10n^3}\)

\(\sqrt{15}n\sqrt{10n^3}\)

\(\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}\)

\(\sqrt{15}\sqrt{10}n^2\sqrt{n}\)

\(\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}\)

\(5\sqrt{3}\sqrt{2}n^2\sqrt{n}\)

\(5\sqrt{6}n^2\sqrt{n}\)

Q5:

\(\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}\)

\(\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}\)

Cancel off \(\sqrt{x}\):

\(\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}\)

Cancel off \(y:\)

\(\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}\)

Cancel off \(\sqrt{y} :\)

\(\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}\)

Multiply \(\sqrt{5}\) on the numerator and denominator:

\(\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}\)

\(\frac{\sqrt{15}\sqrt{x}}{20}\)

sorry i pushed add answer

Answer:

40

Step-by-step explanation:

divide, so 160 divided by 4 equals 40

The best estimate for the rat population can be determined based on the proportion of rats with blue tails in the captured sample.

We are given that 8080 rats were captured, and out of those, 2424 had blue tails. To estimate the rat population, we can set up a proportion using the number of rats with blue tails in the sample and the total number of rats in the population.

Let "x" represent the rat population. We can set up the proportion as follows:

2424 (rats with blue tails in sample) / 8080 (total rats in sample) = 3333 (rats with blue tails in population) / x (total rat population)

Cross-multiplying and solving for "x," we have:

2424 * x = 8080 * 3333

x = (8080 * 3333) / 2424

x ≈ 11,112

To the nearest whole number, the best estimate for the rat population is approximately 11,112 rats.

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Explanation:

Use the slope formula to find the slope of AB

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

m = (3-8)/(2-(-3))

m = (3-8)/(2+3)

m = -5/5

m = -1

The slope of line AB is -1

Do the same for the points C and D

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

m = (2-6)/(-8-(-4))

m = (2-6)/(-8+4)

m = (-4)/(-4)

m = 1

The slope of line CD is 1

The two slopes -1 and 1 multiply to -1, which indicates AB is perpendicular to CD. The two lines form a 90 degree angle.

Answer:

6

Step-by-step explanation:

22-2.5=19.5

19.5/3.25=6

x < 3 is a solution of the inequality x - 3 < 0 and x < 3 is not the solution of the inequality x + 3 < 0.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Suppose that the inequality is x - 3 < 0.

x - 3 < 0

Adding 3 on both sides of the equation,

x - 3 + 3 < 0 + 3

x < 3

x< 3 is the solution of the expression x - 3 < 0.

Consider the inequality x + 3 < 0.

x + 3 < 0

Subtracting 3 from both sides,

x + 3 - 3 < 0 - 3

x < -3

x < 3 is not the solution of the expression x + 3 < 0

Hence the expression with x < 3 as a solution is x - 3 < 0 and not as a solution is x + 3 < 0.

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Answer:

14.18 cm

Step-by-step explanation:

Area = pi r^2

sqrt ( area/pi)  = r

diameter is 2 x r     and circumference is pi * d

circumference      pi *   2 * ( sqrt area/pi)  = 14.18 cm

Answer:

Step-by-step explanation:

Here, we want to graph the given equations

1. y = 2x - 3

The general form of the equation of a straight line is;

y = mx + b

m is the slope and b is the y-intercept

To plot the line, we need the x intercept and the y-intercept

At the x-intercept, the value of y is zero

at the y-intercept . the value of x is zero

From the equation, we have the y-intercept as -3

To get the x-intercept, set y = 0

0 = 2x - 3

2x = 3

x = 3/2

x = 1.5

so to graph the line, we have to join the points ;

(0,-3) and (1.5,0)

b) y = -3x + 2

The y-intercept is 2

To get the x intercept, set y = 0

0 = -3x + 2

3x = 2

x = 2/3

so, we have to join the points (2/3,0) and (0,2)

We have the lines plotted as an attachment

Answer:

10

Step-by-step explanation:

i just kno it if it's not 10 it -11 okkkkkk

Answer:

.61

Step-by-step explanation:

it's .51

I hoped that helped

Answer:

I believe the answer is the 3rd one

Step-by-step explanation: