Round 9.7 to the nearest whole number.

In linear equation, y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r} is  simple form .

What is a formula for linear equations?

Ry+ z/m-t=x

Ry = x - z/m + t

[tex]y = \frac{x - \frac{z}{m}+ t }{r}[/tex]

[tex]y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r}[/tex]

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Answer:

127°

Step-by-step explanation:

The angle that's represented with x and the angle with the measure 127 are alternate exterior angles because line m and line n are parallel.

And alternate angles has equal measures so if one is 127 then so is the other.

Therefore the value of x = 127

Answer:

Step-by-step explanation:

1 box costs x amount

18 boxes cos 223.20

Cross multiply

223.20 * 1 = 18 x

Divide by 18

223.20 / 18 = 18x / 18

x = 12.40

Cost of 1 box is 12.40

Answer:

It should be 199.20 for 16 boxes

Step-by-step explanation:

I divided 273.90 by 22 which came out to 12.45

so then i multiplied 12.45 by 16 and it gave me 199.20

The distance between home plate and first base is -1 feet

From the information given, we have that;

The expression for the number of feet between home plate and first base is given as;

√81-√100

Where;

To determine the distance, we take find the square root of the numbers and substitute, we have;

9 - 10

Find the difference

-1 feet

Thus, the distance between home plate and first base is -1 feet

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A null hypothesis outlines what a researcher should see if the tested hypothesis is incorrect. In essence, it presents an "alternative" theory to the first.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the result of chance. It is claimed to be a claim made by surveyors who wish to look at the data.

The basic idea behind null hypothesis testing is to gather data and calculate the probabilities of a particular set of data during an experiment on a random sample, presuming that the null hypothesis is correct.

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Answers:

========================================================

Explanation:

The equation is y = 10x+550

If x = 0, then it leads to y = 550. This is the smallest amount paid, and it's the base fee. Think of it like the fee to get in the door. This is the y intercept of the equation.

On top of this base fee is the $10 per hour fee for utilities. Each time an hour goes by, add on another extra $10. So we attached x to this to reflect what's going on. This is the slope of the equation, aka rate of change.

It might be helpful to compare y = mx+b to y = 10x+550

m = 10 = slope = how things change

b = 550 = y intercept = starting point

----------

Example:

Let's say you rented the barn for 2 hours.

That means x = 2 and 10x = 10*2 = 20 extra dollars is added on top of the base fee of $550

total = 20+550 = 570

This is what the steps could look like when plugging in x = 2

y = 10x+550

y = 10*2 + 550

y = 20 + 550

y = 570

Therefore, renting the barn for x = 2 hours leads to a total cost of y = 570 dollars.

AS=6.28

First, draw a line joining C and T;

Two triangles TBC and TSC are formed;

Also, AC=35, AT=11,BT=9;

AB=AT+BT=11+9=20

Using pythagoras theorem;

AB² + BC² = AC²

BC²=35²-20²=825

Using pythagoras theorem on triangle TBC;

BC² + TB²= CT²

825 + 9²=CT²

CT²=906;

In triangle CST, using pythagoras theorem;

CS²+ST²=CT²=906   -1

In triangle AST, using pythagoras theorem;

AS²+ST²=AT²=11²=121   -2

Subtract 1 from 2;

AS²+ST²-CS²-ST²=121-906

AS²-CS²=-785

AS²-(AC-AS)²=-785

AS²-(35-AS)²=-785

AS²-AS²-35²+70AS=-785

AS=6.28

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Answer:

690

Step-by-step explanation:

The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.

Hope this helps, have a good day! :D

Answer: ∑=690

Step-by-step explanation:

Let's use the formulas for an arithmetic progression:

[tex]a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\[/tex]

Divide both parts of the equation by 3:

[tex]20=n[/tex]

Thus,

[tex]\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690[/tex]

In the graph of y = -3/4x – 2 is represent linear equation.

What in mathematics is a linear equation?

The graph is represent a linear equation .

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The next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

What is the meaning of parametric and non parametric?

x + y + z = 5, x + z = 0

the line satisfies

x + z = 0 , y = 5

thus

x = t, y = 5 and z = -t .

the first one is technically already the symmetric equations of the line.

thus:

x = -z ; y = 5

the next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

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Answer:

112cm^2

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·8+4·8+4·2)=112

Answer: B. 64 cm³

Step-by-step explanation:

Let's lenth of the object set is a, width - b and height - h

Thus,

V=abh

a=8 cm   b=2 cm    h=4 cm

Hence,

V=8*2*4

V=64 cm³

Answer:

5b+35

Step-by-step explanation:

5*b=5b

5*7=35

385 people get on an empty train at a station. At the first stop, 264 more people get on the train, and 89 people get off. There are no more stops until the train reaches it final destination, where everybody gets off the train.

560 is the answer

560 people get off the train at the final destination.

Given that 385 people get on an empty train. At the first stop, 264 more people get on, and 89 people get off.

There are no more stops until the train reaches it final destination,

We need to find the number of the people who get off the train at the final destination.

To find out how many people get off the train at the final destination, let's break down the information given step by step.

385 people get on the empty train at the station.

At the first stop, 264 more people get on the train, bringing the total number of people on the train to 385 + 264 = 649.

Additionally, 89 people get off the train at the first stop.

After the first stop, there are no more stops until the final destination.

To find out how many people get off at the final destination, we need to subtract the number of people who got off at the first stop from the total number of people on the train after the first stop.

Total number of people on the train after the first stop = 649 (from step 2)

People who got off at the first stop = 89 (from step 3)

Number of people who get off at the final destination = Total number of people on the train after the first stop - People who got off at the first stop

Number of people who get off at the final destination = 649 - 89 = 560

Therefore, 560 people get off the train at the final destination.

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Answer:

[tex] \sf \large \: x=−1[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+3)−2=6

Step 1: Simplify both sides of the equation.

4(x+3)−2=6

(4)(x)+(4)(3)+−2=6(Distribute)

4x+12+−2=6

(4x)+(12+−2)=6(Combine Like Terms)

4x+10=6

4x+10=6

Step 2: Subtract 10 from both sides.

4x+10−10=6−10

4x=−4

Step 3: Divide both sides by 4.

4x/4 = −4/4

x=−1

The linear equation for both Uber and Lyft  will be Y = 0.75x + 3 and

Y = 0.5x + 5 .

A linear equation is an algebraic equation of the form y = mx+b. Involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Here we have,

Uber charge $3 fix on every trip and additional charges on per mile $0.75

So, linear equation be

Y = 0.75x + 3 where, x = no. of mile covered

Similarly, lyft charge $5 fix and $0.5 as an additional

So, linear equation be

Y = 0.5x + 5 where, x = no. of mile covered

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Hey there!

Finding the the answer to the [Binomial]

(a + b)^2

CONVERT:

= (a + b)(a + b)

DISTRIBUTE

= a(a) + a(b) + b(a) + b(b)

= a^2 + ab + ab + b^2

COMBINE the LIKE TERMS

= (a^2) + (ab + ab) + (b^2)

= a^2 + ab + ab + b^2

= a^2 + 1ab + 1ab + b^2

= a^2 + 2ab + b^2

Therefore, your answer should be:

a^2 + 2ab + b^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:angels

Step-by-step explanation:bea

Answer:

-9.5

Step-by-step explanation:

A distribution of scores in which almost the entire class scored very high, but a few students scored fairly low would be representing a negatively skewed distribution.

A real-valued random variable's probability distribution's asymmetry can be quantified by looking at how skew it is around its known as skewness.

There are three types of probabilities of a value can be:

Positively skewed

negatively skewed

unskewed

From the given question, the distribution of scores in which almost the entire class scored very high, but a few students scored fairly low would be representing a negatively skewed distribution.

Therefore the correct answer would be an option (D)

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Your question is incomplete, probably the missing part is:

A distribution of scores in which almost the entire class scored very low, but a few students scored fairly high would be ______.

a. normally distributed

b. positively skewed

c. unskewed

d. negatively skewed

Anna's weight is 115 pounds and Janet's weight is 135 pounds.

To find the wight of Anna and Janet:

It is assumed:

Also,

So,

Subtraction of both sides by 20 yields:

By dividing both sides by 2, we get:

So, Anna's weight is 115 pounds and Janet's weight is 115+20=135 pounds.

Therefore, Anna's weight is 115 pounds and Janet's weight is 135 pounds.

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The circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.

We are given that:

Length of the shorter arc forming an angle of 45° with the center = 22 cm

AB = 22 cm

C is the center of the circle.

We know that the length of the arc is calculated as:

Length of an Arc = θ × (π / 180) × r

22 = 45 × (3.14 / 180) × r

22 = 0.785 r

r = 22 / 0.785

r = 28.0255

Circumference = 2 π r

Circumference = 2(3.14) (28.0255)

C = 176 cm

Therefore, we get that, the circumference of the circle with arc AB as 22 cm and C as the center will be 176 cm.

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Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The total invested is of $36,000, hence:

x + y = 36000.

The amount invested in bonds is to to exceed that in CDs by $5,000, hence:

x = y + 5000.

Replacing in the first equation:

y + 5000 + y = 36000.

2y = 31000

y = 15,500.

x = y + 5000 = 20,500.

Hence:

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Answer:

5a-40=-2b

5a-40/-2=-2b/-2

-5a/2+20=b

The total surface area of the given figure is 720 ft² that is option (D).

The Lateral Surface Area( LSA) of an object is the area covering all the sides of the object except it top and bottom .

Let us divide the given Composite figure into three parts ,

Part(a) = top part having shape of pyramid

First we will calculate the LSA of the top pyramid.

Given that

base = 6ft

perpendicular distance = 4ft

Slant height(l) = [tex]\sqrt{(\frac{base}{2} )^{2} +(perpendicular . distance )^{2} }[/tex]

On substituting the values we get

l=√(3²+4²)

l=√25

l=5 ft

LSA of pyramid = (1/2)* perimeter of base * slant height

Substituting the values we get ;

=(1/2)*(4*6)*5

=60 ft²         ....(i)

Part (b)

the 2nd part is a rectangular prism with length = 20 ft

and breadth = 6 ft

Surface area of rectangular prism = 4*Area of side

                                                         =4*20*6

                                                         =480 ft²       ...(ii)

Part(c)

The last part is a cube with only 5 sides of side 6ft.

Surface Area of the cube = 5*Area of side

                                           =5*6*6

                                           =180 ft²     ....(iii)

Total surface area of the figure= LSA of pyramid + Surface area of rectangular prism  + Surface Area of the cube

Substituting the values from equation (i) , (ii) and  (iii) we get ,

Total surface area of the figure = 60+480+180

                                                     =720 ft²

Therefore , the total surface area of the given figure is 720 ft².

hence option (D) 720sq ft is correct.

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We need to know about cube-root function and reflection to solve this problem. The function is f(x)=[tex]-\sqrt[3]{x-4}[/tex]

A cube-root function is the inverse of a cubic function, a cubic function can be given by f(x)=[tex]x^{3}[/tex], the inverse of this is a cube-root function which can be given by f(x)=[tex]\sqrt[3]{x}[/tex] with vertex at (0,0). The general formula for a cube root function is given be

f(x)=a[tex]\sqrt[3]{x-h} +k[/tex] where a is the measure of how horizontally compressed the graph is and (h,k) is the vertex of the graph. In the question we have to find a cube root function which has been reflected about the y-axis, which means our a will be negative. The vertex of the graph is at (4,0) so (h,k) is (4,0). Thus the cube root function we need is

f(x)=-[tex]\sqrt[3]{x-4}[/tex]

Therefore we found the cube root function that has been reflected about y-axis and the vertex at (4,0) to be  f(x)=[tex]-\sqrt[3]{x-4}[/tex]

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Answer:

12 to 8

Step-by-step explanation:

cuz i am smart pls mark me brainliest

Madelyn reads at the rate of 33.75 pages per hour.

Here rate is defined as the number of pages read per hour. Rate or unit rate is defined as the quantity that is done in 1 unit of time(second, minute or hour). Distance per time is called speed. Velocity per time is called acceleration.

Here it is given Madelyn reads 45 pages in [tex]1\frac{1}{3}[/tex] hours.

Now to find the unit rate we have to divide the number of pages read in the total time taken to read 45 pages.

Unit rate= [tex]45\div 1\frac{1}{3}[/tex]

[tex]=45\div \frac{4}{3}\\=\frac{135}{4} \\=33.75[/tex]

Madelyn reads at the rate of 33.75 pages in 1 hour .

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Answer:

5(3n - 4)(3n - 10)

Step-by-step explanation:

15n² - 110n + 200 ← factor out 5 from each term

= 5(3n² - 22n + 40) ← factor the quadratic

consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × 40 = 120 and sum = - 22

the factors are - 12 and - 10

use these factors to split the n- term

3n² - 12n - 10n + 40 ( factor the first/second and third/fourth terms )

3n(n - 4) - 10(n - 4) ← factor out (n - 4) from each term

(n - 4)(3n - 10)

then

15n² - 110n + 200 = 5(n - 4)(3n - 10)

Answer:

Hello,

Step-by-step explanation:

[tex]15n^2-110n+200=15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )\\[/tex]

1. I am thinking about 2 numbers with sum=22/3 and product=40/3.

Those numbers are 4 and 10/3 since 4*10/3=40/3 and 4+10/3=22/3

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n-\dfrac{10}{3} )(n-4)=5*(3n-10)(n-4)[/tex]

2.

[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n^2-2*\dfrac{11}{3} x+(\dfrac{11}{3})^2 -\dfrac{121}{9} +\dfrac{120}{9})\\\\=15((n-\dfrac{11}{3})^2 -\dfrac{1}{9})\\\\=15( n-\dfrac{11}{3} -\dfrac{1}{3})*(n-\dfrac{11}{3} +\dfrac{1}{3})\\=15(n-\dfrac{10}{3})(n-4)\\\\=5(3n-10)(n-4)\\[/tex]

3.

Using discriminant ...

Answer:

Step-by-step explanation:

-40