Marta used a coupon to save $3.50 on a book she bought. when marta bought the book,she gave the Clark a $20.00 bill,and the coupon.the sales gave Marta $9.01 in change.
​

Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

This question is incomplete

Complete Question

According to one study, brain weights of men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.11 kg.

Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.40 kg.

Answer:

88.36%

Step-by-step explanation:

When given random samples, the formula for z score that we use is:

z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population

n is number of random samples

mean = 1.40 kg

Standard deviation = 0.11 kg

n = 3

x = mean brain weights within 0.1 kg of the population mean brain weight of 1.40 kg.

= 0.1kg ± 1.40kg

Hence,

For 1.50kg

z = 1.50 - 1.40/0.11/√3

z = -1.57

Probability value from Z-Table:

P(x = 1.50) = 0.9418

For 1.30kg

z = 1.30 - 1.40/0.11/√3

= -1.57

Probability value from Z-Table

P(x= 1.30) = 0.0582

P(x = 1.50) - P(x= 1.30)

0.9418 - 0.0582

= 0.8836

Converting to percentage,

0.8836 × 100

= 88.36%

Answer:

$73915.40

Step-by-step explanation:

→ Find the multiplier

( 3 + 100 ) ÷ 100 = 1.03

→ Multiply by principal amount and raise it to the power of years

55000 × 1.03¹⁰ = 73915.40

Answer: $630,513.36

Step-by-step explanation:

Let's make a table of values to see how much he earns every year after graduation.

1 year -> $55,000

2 years -> 55,000 * 103% = $56,650

3 years -> 56,650 * 103% = 55000 * 103% * 103% = $58,349.50

4 years ->  58349.50 * 103% = 55,000 * 103% * 103% * 103% = 55000(1.03)³

Here, we see that every year, he gets 103% of what he got the previous year, which is also 1.03 times his previous salary.

We also see that we multiply 55000 by 1.03 three times in the fourth year, and two times in the third year. This means that we multiply 55000 by 1.03 n-1 times.

Using this, let's generalize this for n.

n years -> \(55000(1.03)^{n-1}\)

We are trying to find his total income after ten years, or the sum of his salary from year 1 to year 10. We can represent this in sigma notation like this

\(% Adjusted limits of summation$\displaystyle\sum_{n=1} ^{10} 55000(1.03)^{n-1}$\)

This essentially translates to the sum of the first ten terms in the sequence \(55000(1.03)^{n-1}\), starting at n=1.

Since this is a geometric sequence, or a sequence where we need to multiply by the same number to get to the next term, we can find the sum using the sum of geometric series formula. This formula is as follows:

\(S_n=a_1\frac{1-r^n}{1-r}\)

where \(S_n\) is the sum of the first n terms, \(a_1\) is the first term, r is the common ratio, and n is the number of terms. In this question, \(S_n\) is the total income after n years, \(a_1\) is his salary after the first year, r is how much his salary increases by each year, and n is the number of years we are calculating the sum for.

\(a_1\) -> 55000

r -> 1.03

n -> 10

Now that we have the values for each variable, let's plug them in and solve

\(S_{10}=55000(\frac{1-1.03^{10}}{1-1.03})\\S_{10}=630513.36\)

The total income he will have received after ten years is $630,513.36.

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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Main Answer: s1=42 mi/hr.

                       s2=30mi/hr.

Concept and definitions should be there:

Just as distance and displacement have distinctly different meanings (despite their similarities), so do speed and velocity. Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. Contrast this to a slow-moving object that has a low speed; it covers a relatively small amount of distance in the same amount of time. An object with no movement at all has a zero speed.

Formula:

s = {d}/{t}

s=speed

d=distance traveled

t=time elapsed

Given data:

one car travels 189 miles on the same time that a second car travels 135 miles.

Solving part:

Let t be the amount of time the cars are traveling

s1=189/t and s2 = 135/t

We are told:

s1=s2+12

That is

189/t=135/t+12

Multiple t on both sides

⇒189 = 135+12t

⇒12t = 189-135

⇒12t = 54

⇒t = 4.5

s1 = 189/4.5

s1 = 42

s2 = 135/4.5

s2=30

Final Answer:s1=42 mi/hr.

                      s2=30mi/hr.

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im sorry but i dont really understand your question :c

Given:

The height (h) of the ball after t seconds is given by the relationship:

Solution

We are required to find the values of t for which the ball's height is 10 feet.

We set h = 10 feet and then solve the resulting equation.

We can then solve the equation:

Answer: 0.71 sec or 0.35 sec

Answer:

greater than 1

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Step-by-step explanation:

prime numbers are numbers that have exactly two factors . 1 and the number itself.

Answer:

x = 3 squared and it is the righr answer

Answer:

pretty hard to read. Sorry

Step-by-step explanation:

Answer:

salma needs 6boxes of cookies

Answer:

6 boxes

Step-by-step explanation:

if there are the 10 friends and each of them want 6 cookies that would be

10 x 6 =60

and if each box has 10 cookies then

60 ÷ 10 = 6

Answer:

the answer is scatter graph

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Answer: x < 2

Step-by-step explanation:

First subtract 1 on both sides

2x < 4

Then divide both sides by 2

x < 2

Hey there!

2x + 1 < 5

SUBTRACT 1 to BOTH SIDES

2x + 1 - 1 < 5 - 1

SIMPLIFY IT!
2x < 5 - 1

2x < 4

DIVIDE 2 to BOTH SIDES

2x/2 < 4/2

SIMPLIFY IT!
x < 4/2

x < 2

Therefore, your answer is: x < 2

(The graph is down below)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

$60.79

Step-by-step explanation:

First take off the 30% from $78.95. That will leave you with $55.265.

Add 6% of $78.95 for sales tax (4.737) to the $55,265 = $60.002

Then add the 1% of $78.95 for local option tax (.7895) to the $60.002.

That gives you $60.7915   - round it to the nearest cent and it gives you

$60.79

Answer: $60.7915

Step-by-step explanation:

think of percents as a portion of something

if Dave has to pay 6% tax on something + 1% tax he will pay 7% tax.

This means he will pay 7% of 78.95.

In multiplication 'of' means multiply.

just use this as a rule so 7% × 78.95 will be the amount of tax he has to pay

0.07 × 78.95 = $5.5265

However, he has a 30% off coupon

so,

30% × 78.95 will give the amount he saves

.3 × 78.95 = $23.685 saved

now lets find the actual amount he saves with his coupon after taxes:

$23.685 - $5.5265 = $18.1585 saved

we can subtract this amount by the price and we will have the amount Dave has to pay for the jeans:

$78.95 - $18.1585 = $60.7915

⇒ $60.7915 is the price Dave pays

rounding we get $60 and 79 cents

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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The change in temperature is just the difference of the temperature

So, the temperature has changed 15 degrees Celsius during the day.

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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Answer:

z = 20

Step-by-step explanation:

We can use the elimination method in a systems of 3 equations, just as we did when we were solving systems of 2 equations. While the method we apply it is the same, we have to apply it multiple times as elimination gets rid of one variable (usually) and since we're dealing with 3 variables, that still leaves us with 2 variables and we need to cancel once more.

We want to develop two linear equations, by applying elimination twice to each equation at least once, and then from there we can apply elimination once more.

Since we're solving for "z", we don't want to immediately cancel it out. So let's use the following two equations:
\(x+y-z=-5\\\\x-4y+3z\)

Let's cancel out the "x", by manipulating one equation to be -x. We can do this by multiplying one equation by -1, but remember we have to apply this to both sides of the equation. Let's do it to the top one (you could also do it to the bottom one)

\(-1(x+y-z)=-(-5)\implies -x-y+z=5\)

So now let's add the two equations:

\(\ \ \ (-x-\ y+\ z)=5\\+(\ \ x-4y + 3z) = 5\\ ------------\\ -5y+4z=10\)

Now let's apply the same thing, but to the middle and bottom equation. Since they don't have the same absolute value coefficients (ignoring the sign) we need to multiple one by a value other than just negative one. So let's multiply the bottom equation by -2 so that the bottom will have a -2x which will cancel when adding it to 2x

\(-2(x - 4y + 3z) = -2(5)\\-2x + 8y - 6z = -10\)

Now let's add the equations:

\(\ \ \ (\ \ 2x-y+z)=8\\+(-2x + 8y - 6z)=-10\\\\-----------\\7y - 5z = -2\)

So now we have the two equations:

\(7y-5z=-2\\-5y+4z=10\)

From here we can apply any method we want, from here I'll use substitution. Since we want to get rid of the "y", let's solve for "y" in terms of z, so once we substitute we have no "y" terms left.

\(7y-5z=-2\\7y=5z-2\\y=\frac{5z-2}{7}\)

Now let's plug this into the second two-variable equation we made.

\(-5(\frac{5x-2}{7})+4z=10\\\\\frac{-25x+10}{7}+4z=10\\\\\frac{-25}{7}z+\frac{10}{7} + \frac{28}{7}z = \frac{70}{7}\\\\\frac{-25+28}{7}z = \frac{70-10}{7}\\\\\frac{3}{7}z = \frac{60}{7}\\\\z = \frac{60}{7} * \frac{7}{3}\\\\z = 20\)

Answer:

  9.2

Step-by-step explanation:

You want the distance between A(2, 0) and B(0, 9).

The distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...

  d = √((x2 -x1)² +(y2 -y1)²)

For the given points, this becomes ...

  d = √((0 -2)² +(9 -0)²) = √(4+81) = √85

  d ≈ 9.2

The distance between A and B is about 9.2 units.

Answer:

b

Step-by-step explanation:

Answer:

2d+44

Step-by-step explanation:

Multiply all numbers without variables:

11x4=44

Add equations:

2d+44

Hence, the correct answer is 2d+44

Answer:

2d+44

Step-by-step explanation:

Multiply:

11x4=44

Final Equation:

2d+44

The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .

1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:

V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.

2) The height of the region is equal to  - (2x) =  -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:

V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).

3) The height of the region is equal to (2-x) -  = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:

V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).

4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:

V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)

The complete Question is:

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the

1.  y = x, y = -x/2, and x = 2

2. y = 2x, y = x/2, and x = 1

3. y = x/2, y = 2-x, and x = 0

4. y = 2-x/2, y = x/2, and x = 0

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The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Answer:

1. Cube

2. Triangular Prism

3. 73.5

Step-by-step explanation:

for the third question: 12.25 per square, 6 squares. 12.25 times 6 = 73.5

Answer:

A. \(\frac{1}{5} log_3(x) + log_3(y)\)

Step-by-step explanation:

Log rules tell us that multiplication inside a log can be expressed as two summands with the same base.
In other words:

\(\log_c(a*b) =\log_c(a)+\log_c(b)\)

In this case:

\(log_3(\sqrt[5]{x} * y) = log_3(\sqrt[5]{x}) + log_3(y)\)

Using log exponent rules(power can be moved to the front of a log), we get our final answer:

\(\frac{1}{5} log_3(x) + log_3(y)\)

Considering the sequences given, the first number that appears in both sequences is given by: 45.

The rule is multiply by 3 starting from 5, hence the numbers are:

(5, 15, 45, 135, ...).

The rule is add 9 starting from 18, hence the numbers are:

(18, 27, 36, 45, ...).

45 is the first number that appeared in both sequences.

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Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The features of triangle ABC are:

To check option A, calculate the distance between each pair of points and see if they satisfy the Pythagorean theorem:

AB = \√{(4-3)² + (7-3)²} = \√{41}

BC = \√{(8-4)² + (6-7)²} = \√{17}

AC = \√{(8-3)² + (6-3)²} = 5\√{2}

Now, AB² + BC² = 41 + 17 = AC² is 68 units, which satisfies the Pythagorean theorem and confirms that ABC is a right triangle.

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Answer:The correct anserw is B.

Step-by-step explanation: