P(1, 10)and Q(7,4) are the endpoints of a line segment. What is the midpoint M of that line segment

Answer:

2.8 ·  10^(-9)

Step-by-step explanation:

I'd suggest you do this problem through two separate multiplications:

First, 0.4·0.7 = 0.28, or 2.8 · 10^(-1)

Second, 10^(-6) · 10^(-2) = 10^(-8), and so the final result is

2.8 · 10^(-1) · 10(-8)  =  2.8 ·  10^(-9)

Please note:  negative exponents (such as -9, above) should be enclosed in parentheses for added clarity.

Answer:

jamie has 24 and kristen is 12

Step-by-step explanation:

jamie is twice  kristan which is 12+12

then 12 puls 24 is 36

For this case we have to:

Let x be the variable that represents the amount of money Jamie has.

Let y the variable that represents the amount of money that Kristen has

We have to:

[tex]x = 2y\\x + y = 36[/tex]

We substitute the first equation in the second:

[tex]2y + y = 36\\3y = 36\\y = \frac {36} {3}\\y = 12[/tex]

Looking for the value of x:

[tex]x = 2y\\x = 2 (12)\\x = 24[/tex]

Answer:

So, Jaime has $ 24 and Kristen has $ 12.

Answer:

d.) $20

Step-by-step explanation:

Answer:  Option 'b' is correct.

Step-by-step explanation:

Since we have given the figure showing store's supply demand graph for lawn chairs.

Profit made by selling lawn chairs by the store = $800

Using the graph , we conclude that

Demand curve and supply curve intersect at (25,40)

Here, y- axis denotes the price of commodity.

x - axis denotes the quantity of commodity.

So, the possible valid price for them would be $ 40.

Hence, Option 'b' is correct.

Answer:

The surface area is approx. 1017.9 in^2.

Step-by-step explanation:

Total surface area of cone = πrl + πr^2. Since the radius is 12 in. and the slant height is 15 in, substitute 12 for r and 15 for l.

A = π(12)(15) + π(12)^2

    = 180π + 144π

    = 324π in^2

    ≈ 1017.9 in^2

Hope this helps!

The answers are:

3. Addition property of equality

4. [tex]6x-7+7=12+7[/tex] - Simplification

7. [tex]x=\frac{19}{6}[/tex]

To solve the problem, we need to start with the result of the second step:

[tex]6x-7=12[/tex]

So,

For the step 3:

Then, for the 3rd step, we have to apply the addition property of equality.

The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.

Then, applying the property, we have:

[tex]6x-7=12[/tex]

Adding 7 to both sides, we have:

[tex]6x-7+7=12+7[/tex]

For the step 4:

Now, for the 4th step, we have to simplify the expression:

[tex]6x-7+7=12+7[/tex]

Then, simplifying, we have:

[tex]6x=19[/tex]

For the step 7:

Simplificating, we divide each side of the equality by 6:

[tex]\frac{6x}{6}=\frac{19}{6} \\\\x=\frac{19}{6}[/tex]

Have a nice day!

3/1 is the slope of the line

Answer:

the slope of y = 3 is 0

Step-by-step explanation:

we can use the acronym VUX/HOY to remind us about the properties of a certain line

Vertical line

Undefined slope

X axis

VUX means that a line passing x = b will have an undefined slope and will be a vertical line

Horizontal line

0 slope

Y axis

HOY means that a line passing through y = b will have a slope of 0 and will be a vertical line

Answer:

[tex]x_{3}[/tex]=2

The first term is [tex]\frac{1}{2}[/tex]

Answer:

A,C,E

Step-by-step explanation:

x+4          6

------- ÷ ---------

3             x

Copy dot flip

x+4          x

------- * ---------  (A)

3             6

Reversing the order

x          x+4

------- * ---------  (C)

6             3

x(x+4)

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

18

x^2+4x

--------------(E)

18

X+2y<4; 2y<-x+4; y<(-x/2)+2

Option 3

Answer:

the answer is the (1.645 over root of n) on e 2020

Step-by-step explanation:

Answer:The answer is  D

Step-by-step explanation: Hope this helps

When you say Percent, you really mean per 100. So percentage is the result you get when multiplying a quantity by a percent. To find 80% of 20, we can use the following expression:

[tex]20\times \frac{80}{100}=16[/tex]

That is the product of 80 and 20 divided by 100, which is 16.

Answer:

The correct answer is

80% of 20 = 16

Step-by-step explanation:

points to remember

x% of y is given by

(x/100) * y

To find 80% of 20

Let 'x' be the 80% of 20 then we can write,

x = (80/100) * 20

x = (8/10) * 20

 = 8 * 2 = 16

Therefore 80% of 20 is 16

The correct answer is 16

HOPE THIS WILL HELP YOU

See photo

Perimeter = 525.66 ft

Area = 10913.27 ft2

Answer:

A) X=-2

Step-by-step explanation:

by multiplying the first term by -3 then -6X-3y=-3

                                                            and  2X+3y=11

then by adding = -4X=8

then X=8/-4=-2

The value for x in the given system of equations is found by using the method of elimination, resulting in x = -2. The value of y was found first, namely y = 5, and was then substituted into the first equation to find x.

The system of equations given is:

To find the value of x, we can use the method of elimination or substitution. Let’s use elimination. First, subtract the first equation from the second.

That gives us: 2x + 3y - (2x + y) = 11 - 1

Which simplifies to: 2y = 10

Then divide both sides by 2: y = 5

Now substitute y = 5 into the first equation: 2x + 5 = 1, which simplifies to 2x = -4, and lastly x = -2.

So the solution for x in the system is x = -2 (option a.).

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Answer:b

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex](\frac{p}{q})^3[/tex]

[tex](\frac{p}{q})^3=\frac{p}{q}\times\frac{p}{q}\times\frac{p}{q}[/tex]

[tex]\text{Numerator: p}\times\text{p}\times\text{p}[/tex]

[tex]\text{Denomintor: q}\times\text{q}\times\text{q}[/tex]

[tex]\frac{p\times p\times p}{q\times q\times q}[/tex]

[tex]p\times p \times p=p^3[/tex]

[tex]q\times q \times q=q^3[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{p^3}{q^3}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

Final answer is [tex]S_n=565.5[/tex].

Step-by-step explanation:

Given that [tex]a_1=12[/tex], [tex]a_n=75[/tex], and [tex]n=13[/tex].

Using those values, we need to find the value of [tex]S_n[/tex].

Plug these values into sum formula :

[tex]S_n=\frac{n}{2}\left(a_1+a_n\right)[/tex]

[tex]S_n=\frac{13}{2}\left(12+75\right)[/tex]

[tex]S_n=\frac{13}{2}\left(87\right)[/tex]

[tex]S_n=\frac{1}{2}\left(1131\right)[/tex]

[tex]S_n=565.5[/tex]

Hence final answer is [tex]S_n=565.5[/tex].

Answer:

The 95% confidence interval for the mean score is:

[tex]\mu[/tex] ∈ [tex](67.73,\ \ 84.67)[/tex]

Step-by-step explanation:

We want to estimate the population mean, that is, the average score of all the subjects.

An estimator for the population mean μ is [tex]{\displaystyle {\overline {x}}}[/tex]

Since the sample size is [tex]27 <30[/tex] then we use the  statistic  [tex]t_{\frac{\alpha}{2}}[/tex]  with [tex]27-1 = 26[/tex] degrees of freedom

The confidence interval for the mean is:

[tex]({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})[/tex]

Where

[tex]{\displaystyle {\overline {x}}}=76.2[/tex] is the average score of the sample

[tex]S=21.4[/tex] is the standard deviation of the sample

[tex]n= 27[/tex] is the sample size

[tex]t_{\frac{\alpha}{2}} = 2.056[/tex] for a confidence level of 95% and 26 degrees of freedom

Then confidence interval is

[tex](76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})[/tex]

[tex](76.2 + 8.467,\ \ 76.2 - 8.467)[/tex]

[tex]\mu[/tex] ∈ [tex](67.73,\ \ 84.67)[/tex]

The 95% confidence interval for the mean score of attitudes towards public transportation is (68.13, 84.27), calculated using the formula for a confidence interval.

In this scenario, we would use the formula for a 95% confidence interval, which is the sample mean ± (1.96 * (standard deviation / √n)). In this case, n is 27 (the sample size), the sample mean is 76.2, and the standard deviation is 21.4.

Firstly, calculate the standard error by dividing the standard deviation by the square root of n:

SE = 21.4 / √27 ≈ 4.12

Then multiply the standard error by 1.96:

1.96 * SE ≈ 1.96 * 4.12 ≈ 8.07

Finally, add and subtract this value from the sample mean to get the confidence interval:

76.2 ± 8.07 gives an interval of (68.13, 84.27).

So, we can be 95% confident that the true population mean of attitudes towards public transportation lies between 68.13 and 84.27.

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Answer:

the correct option is C i.e. [tex]8x^4yz^4\sqrt{2yz}[/tex]

Step-by-step explanation:

We need to solve the expression :

[tex]\sqrt{128x^8y^3z^9}[/tex]

Factors of 128 are: 2x2x2x2x2x2x2

and we know √ = 1/2

and √a.b = √a.√b

Solving:

[tex]=\sqrt{128x^8y^3z^9}\\\\=\sqrt{128} \sqrt{x^8} \sqrt{y^3} \sqrt{z^9}\\=\sqrt{2x2x2x2x2x2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=\sqrt{2^2x2^2x2^2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=(2^2)^{1/2} (2^2)^{1/2}(2^2)^{1/2} (2)^{1/2} (x^8)^{1/2} (y^2)^{1/2} (y)^{1/2} (z^8)^{1/2} z^{1/2}\\=2.2.2.(2)^{1/2}x^4y(y)^{1/2}z^4(z)^{1/2}\\=8x^4yz^4\sqrt{2yz}[/tex]

So, the correct option is C i.e. [tex]8x^4yz^4\sqrt{2yz}[/tex]

Answer:

10

Step-by-step explanation:

You have to go up 10 places to get from the first point to the second

You also have to go 1 place to the right

Since the slope is Y/X, the slope of this line is 10/1

Answer:

57°

Step-by-step explanation:

ALL angles in a triangle add up to 180°

SO, if we know the sum of two angles which is 123° (why: 33+90=123), all we have to do is subtract this number from 180 to get the measure of the 3rd angle. Which in this case is 57°

The measure of angle B will be 57° for the given triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

The sum of all three interior angles of any triangle is 180°.

So,

A + B + C = 180°

Given,

A = 33°  and C = 90°

33°  + B + 90°  = 180°

B = 180 - (90 + 33)

B = 180°  - 123°  

B = 57°

Hence, The measure of angle B will be 57° for the given triangle.

For more about triangles,

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Answer:

Center a processes it faster

Step-by-step explanation:

Center B math: 2 tons as pounds is 4000 pounds.

4000/7=571.43 pounds a day

571.43/24=23.81 pounds a hour

23.81 pounds per hour is less than 100 pounds an hour. so center a is the faster one.

Answer:

Center A process aluminium faster

Because

Center A process 8.4 Tons of aluminium per week while center B processes 2 tons per week

Step-by-step explanation:

Topic: Unit Conversion

Given

Center A Rate of Processing Aluminium

A = 100 pounds per hour

Center B Rate of Processing Aluminium

B = 2 tons per week

To solve this question, the following assumptions will be made

Having said that, the first step is to make conversions.

We either convert pounds to tons or tons to pounds.

Converting Center A Rate of Processing Aluminium from Pounds to Tons

1 Pound = 0.0005 Tons

So, 100 Pounds = 0.0005 * 100

100 Pounds = 0.05 Tons.

So, Center A Rate of Processing Aluminium is 0.05 Tons per hour

Before we make comparison, both must be in the same unit.

i.e. either in Tons per hour or Tons per units.

Converting Center A Rate of Processing Aluminium from Tons per hour to Tons per week

There are 24 hours a day;

So, Center A Rate of Processing Aluminium is 0.05 Tons/hr* 24 hr/day

Converting Center A Rate of Processing Aluminium is 1.2 Tons / day

There are 7 days a week;

So, Center A Rate of Processing Aluminium is 1.2 Tons/ day * 7 days / week

Converting Center A Rate of Processing Aluminium is 8.4 Tons / week

At this point, we have the following

Center A Rate of Processing Aluminium = 8.4 Tons / week

Center B Rate of Processing Aluminium = 2 tons per week

By Comparison,

8.4 Tons per week is greater than 2 tons per week; So, Center A process aluminium faster

Answer:

D) no solution

Step-by-step explanation:

1/ (x-2) + 1/(x+2) = 4/(x^2-4)

x cannot equal 2 or -2 since that would make our fractions equal 1/0 or be undefined

Factor the term on the right

1/ (x-2) + 1/(x+2) = 4/(x-2)(x+2)

Multiply both sides by (x-2) (x+2)

(x-2) (x+2) (1/ (x-2) + 1/(x+2)) = 4/(x-2)(x+2)*(x-2) (x+2)

Distribute

x+2 + (x-2) = 4

Combine like terms

2x = 4

Divide by 2

2x/2 = 4/2

x =2

But this is not a possible solution since that is not in the domain

Answer: upper quartile - 163

Lower quartile - 184

Step-by-step explanation:

97,163,169,175,184,199

[97,163,169] [175,184,199]

Upper. Lower.

163. 184.

Answer: 102

Step-by-step explanation: get the largest and smallest number which is 199 and 97 then subtract then 199-97 which you get 102 :D

Answer:

[tex]\boxed{\text{18 blocks}}[/tex]

Step-by-step explanation:

Distance travelled on graph = AB + BC + CD + DA  

AB = CD  = (3 +2) = 5

BC = AD = 2 –(-2) = 4

Distance on graph = 2 × 5 + 2 × 4 = 10 + 8 = 18 spaces = 18 blocks

Bridgette jogs [tex]\boxed{\textbf{18 blocks}}[/tex]each day.

Answer:

5/10

Step-by-step explanation:

The cube root of 125 is 5 and the cube root of 1000 is 10.

Final answer:

The cube root of 125/1000 simplifies to 5/10 or 0.5. This is determined by taking the cube root of both the numerator and the denominator separately, or by understanding properties of exponents and simplification of fractions.

Explanation:

To evaluate the cube root of 125/1000, we can simplify this expression by looking for cube roots of the numerator and the denominator separately. The cube root of 125 is 5 because 5³ equals 125. Similarly, the cube root of 1000 is 10 because 10³ equals 1000. Therefore, the cube root of 125/1000 is 5/10, which simplifies to 1/2 or 0.5.

Another way to approach this is by using the fact that 125 is a “125–like” number, which helps us recognize that 125 is one eighth of 1000, as 1000 multiplied by the reciprocal of 8 (which is 1/8) is 125. This intuitive understanding confirms that the cube root of 125/1000 simplifies to a small number like 0.5.

Answer:

Step-by-step explanation:

[tex]\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{-9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-(-9)}{14-8}\implies \cfrac{-9+9}{6}\implies \cfrac{0}{6}\implies 0[/tex]

Answer:

Surface Area= 144

Step-by-step explanation:

To find the area of the triangle you would multiply the base times the height and divide it by 2. 9x6/2=27. For one triangle the area is 27. Since there are 4 you would multiply it by 4. 27x4= 108. This will give you 108. Now all you need to do is add the square which is 6x6= 36. 108+36=144.

Answer:

5, 7, 9, 11

Step-by-step explanation:

Solve the inequality

w - 4 < 8 ( add 4 to both sides )

w < 12

w ∈ { 5, 7, 9, 11 }