Mathematics Middle School

(ax + 5)(x-b)+4x=(2x × 2x)+ cx-10
Equating coefficients in identities

Answers

Answer 1
Solve for x:
4 x + (x - b) (a x + 5) = -10 + c x + 4 x^2

Expand and collect in terms of x:
-5 b + x (9 - a b) + a x^2 = -10 + c x + 4 x^2

Subtract -10 + c x + 4 x^2 from both sides:
10 - 5 b + x (9 - a b) - c x - 4 x^2 + a x^2 = 0

Expand and collect in terms of x:
10 - 5 b + x (9 - a b - c) + x^2 (a - 4) = 0

Divide both sides by a - 4:
(10 - 5 b)/(a - 4) + (x (9 - a b - c))/(a - 4) + x^2 = 0

Subtract (10 - 5 b)/(a - 4) from both sides:
(x (9 - a b - c))/(a - 4) + x^2 = -(10 - 5 b)/(a - 4)

Add (9 - a b - c)^2/(4 (a - 4)^2) to both sides:
(9 - a b - c)^2/(4 (a - 4)^2) + (x (9 - a b - c))/(a - 4) + x^2 = (9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)

Write the left hand side as a square:
((9 - a b - c)/(2 (a - 4)) + x)^2 = (9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)

Take the square root of both sides:
(9 - a b - c)/(2 (a - 4)) + x = sqrt((9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) or (9 - a b - c)/(2 (a - 4)) + x = -sqrt((9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4))

Subtract (9 - a b - c)/(2 (a - 4)) from both sides:
x = sqrt(((9 - a b - c)^2)/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) - (9 - a b - c)/(2 (a - 4)) or (9 - a b - c)/(2 (a - 4)) + x = -sqrt((9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4))
Subtract (9 - a b - c)/(2 (a - 4)) from both sides:
Answer: x = sqrt(((9 - a b - c)^2)/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) - (9 - a b - c)/(2 (a - 4)) or x = -sqrt(((9 - a b - c)^2)/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) - (9 - a b - c)/(2 (a - 4))

Related Questions

Owen used these steps to solve the equation 4x+7=1+2(2x+3) . Which choice describes the meaning of his result, 7=7 ?
a.The result is not correct because Step 2 has an error.
b.The solution is x=7.
c.No values of x make the equation true.
d.All values of x make the equation true.

Answers

The answer is d because 7=7 and whenever the two numbers equal each other, then all values of x are true, but when they don't equal each other then No values of x are true

The choice that describes the meaning of the result is,

all values of x make the equation true.

The correct option is d.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Owen used these steps to solve the equation,

4x+7 = 1+2(2x+3).

Simplifying,

4x + 7 = 1 + 4x + 6

4x + 7 = 4x + 6 + 1

4x + 7 = 4x + 7

Subtract 4x to both sides,

7 = 7.

That means, the equation has infinitely many solutions.

Therefore, all values of x make the equation true.

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63,360, 63,366, 63,372, 63,378, 63,384, ... What is Barry's altitude above sea level, in inches, when he is standing on the 65th step above the one-mile step (counting the one-mile step itself as step #1)?

Answers

You need to convert the sequence to a formula 

Since step 1 is 63,360 and each is 6 higher. 

First I will try... 

Altitude = 63,360 + 6x 

Lets check it with step 1 ... 

= 63,360 + 6(1) 
= 63,366 
wrong. 

6 too high 

So the formula would be 

Altitude = 6x + 63,354 

Lets test for known step 5 which the sequence says will be 63,384 ... 

= 6(5) + 63,354 
= 30 + 63,354 
= 63,384 

Looks good ! 

Now... 

For step 55 just plug in 55 as X to solve. 

= 6(55) + 63,354 

then simplify
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CREDIT DUE TO A YAHOO USER

you suspect that an unscrupullous employee at a casino has tampereed with a die. that is, he is using a loaded die. In order to test this claim you roll it 258 times and obtain the folllowing frquencies Category 1 2 3 4 5 6 Frequency 48 52 51 34 48 25 a. Choose the approp. alternative hypotheses to test if the population proportion differ a/all population proportion differ from 1/6 b/ Not ll population proportion are equal to 1/6 b-1 calculate the value of the test statistic(round to at last 4 decimal places) b-2 Approx. the p-value c. at the 10% signifigance level. can you conclude that the die is loaded?

Answers

a. For the alternative hypothesis, you normally would want to choose something that says not equal since you will need to be testing if the proportions are equal and this will be your null hypothesis.

Therefore for your alternative hypothesis it would need to be: Not all population proportions are equal to 1/6.

b-1. Since we have 6 different outcomes, we will use the chi square test to evaluate the hypothesis. The test statistic is computed by getting the summation of [tex] \frac{ (observed-expected)^{2} }{expected} [/tex] for all the 6 outcomes. In our case the expected proportion would be 1/6 or 0.1667 and the observed values would be the proportions from the 6 outcomes.

[tex] X^{2} = \frac{ (0.1860-0.1667)^{2} }{0.1667} +\frac{ (0.2016-0.1667)^{2} }{0.1667}+\frac{ (0.1977-0.1667)^{2} }{0.1667}[/tex]
[tex]+\frac{ (0.1318-0.1667)^{2} }{0.1667}+\frac{ (0.1860-0.1667)^{2} }{0.1667}+\frac{ (0.0969-0.1667)^{2} }{0.1667}=0.0541[/tex]

ANSWER: The test statistic is 0.0541

b-2. For this problem we just imagine the chi square distribution and the fact that our test statistic is so close to zero so the p-value must be so much greater than 0.10.

Based on other resources, there are choices to this problem so we just choose the option similar to the one we just described.

ANSWER: p-value > 0.10

c. Since the p-value we estimated above is greater than 0.10, we do not reject the null hypothesis. This means that there is NOT enough evidence to reject the fact that the die is a fair die.

ANSWER: No, we cannot conclude that the die is loaded.

Multiply r2+7r+10/3 by 3r-30/ r2-5r-50

Answers

((r²+7r+10)/3) × (3r-30)/(r²-5r=50)
= Factoring the expression (r²+7r+10) we get  (r+2)(r+5)
Then multiply it with the other numerator, we get
= (r+2)(r+5)(3(r-10)
Then we factorise
= (r²-5r-50) = (r+5)(r-10)
Multiplying it with the other denominator, we have;
= 3(r+5)(r-10)
Therefore dividing

(r+2)(r+5)(3(r-10)/(3(r+5)(r-10) we get;
= r+2
Therefore, the correct answer is r+2

(r+5)(r+2)/3  *   3(r-10)/(r-10)(r+5)

If you eliminate the (r+5),(r-10) and 3, then what is left is (r+2). The answer is r+2.

find the solution of the equation: x2 = 30 -13x

Answers

[tex]x^2=30-13x\ \ \ |+13x-30\\\\x^2+13x-30=0\\\\x^2+15x-2x-30=0\\\\x(x+15)-2(x+15)=0\\\\(x+15)(x-2)=0\iff x+15=0\ \vee\ x-2=0\\\\\boxed{x=-15\ \vee\ x=2}[/tex]

Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 9%. After 8 years, the interest earned on the account was $1,440. How much money did Mike's grandmother deposit in the account?

Answers

SI = prt/100
1440 = (p*9*8)/100
⇒p=2000

Some students were surveyed about how much time they spent playing video games last week and their overal test average.

Find the equation of the least-squares line.

Interpret the meaning of the slope.

Interpret the meaning of the y-intercept mathematically.

State the correlation coefficient. Describe any possible correlation for the data set. Use the correlation coefficient to support your answer.

Use the equation of the least-squares line from part a to predict the test average for someone who plays 5 hours of video games a week.

Answers

a) The attachment shows the equation of the best-fit line. It is approximately
.. test average = 89.7 -2.93*(hours playing games)

b) The slope indicates the expected drop in test score for each hour spent playing games

c) The y-intercept is the expected test score if no hours are spent playing games.

d) The correlation coefficient is -0.92, a significant negative correlation. One might expect that hours spent playing games indicates a lack of interest in school subjects or studying, hence a likelihood that test scores will be lower.

e) The equation predicts a test score of about 75 for someone who spends 5 hours a week playing video games.

help with homework. show work

Answers

Hello there! I can help you! The surface area is where you add the areas of the shapes to find the area of the surface. 15 is the side of the square. We can raise 15 to the second power (15²) to get 225. The total surface area is 945 square feet. Let's subtract 225. 945 - 225 is 720. There are 4 triangles. 720 square feet is the sum of the surface area of 4 triangles so let's divde 720 by 4 to find the area of each triangle. 720/4 is 180. The area of each triangle is 180. But we're not done. We need to look for the height. The formula for the area of the triangle is 1/2 the product of base and height. (½bh) When we divide by 2, our answer should be 180. So the product of the two numbers should be 360. We know that the base is 15ft long, so let's divide. 360/15 is 24. 15 * 24 is 360. 360/2 is 180. There. The height of each triangular base is 24 ft.

what is the value of the 9 in the number 60.394

Answers

The value of 9 in this number is tenths
It is the tenths because you count after the decimal point so 3 would be considered the oneths and 9 the tenths. Hoped that helped!!!!

Plot the x- and y-intercepts to graph the equation. y=13x−1 .

PLEASE plot it on a graph PLEASE and i will get you brainly and 15 points

Answers

this is the graph
if put 0 and 1 for x then :
[tex]x = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \\ y = - 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 \\ \binom{x}{y } = \binom{0}{ - 1} \: \: \: \: \binom{1}{12} [/tex]

Answer:

Given the equation: [tex]y = \frac{1}{3}x -1[/tex]        .....[1]

To find the intercepts:

x-intercepts states that the graph cross the x-axis.

Substitute the value of y = 0 in [1] to solve for x;

[tex]0 = \frac{1}{3}x-1[/tex]

Add 1 to both sides we get;

[tex]1 = \frac{1}{3}x[/tex]

Multiply both sides by 3 we get;

[tex]3 = x[/tex]

x-intercepts = (3, 0)

y-intercepts states that the graph cross the y-axis

Substitute the value x = 0 in [1] to solve for y;

[tex]y = \frac{1}{3}(0) -1[/tex]

Simplify:

y = -1

y-intercept = (0, -1)

Now, using these x- and y--intercepts  points to graph the given equation [tex]y = \frac{1}{3}x -1[/tex] as shown below.

Maggie and her friend visit a beach that has a shoreline 2 2/5 kilometers long. They walk along 2/3 of it. How many kilometers of the beach shoreline do they walk?

Answers

Simply put, this question is asking "What is 2/3 of 2 2/5 ?". 

If we want to find 2/3 of 2 2/5, we can multiply the fractions together. 

[tex] \frac{2}{3} * 2 \frac{2}{5} [/tex]

= [tex] \frac{24}{15} [/tex]

= [tex] \frac{8}{5} [/tex]

= [tex]1 \frac{3}{5} [/tex]

This means that Maggie and her friend have walked [tex] 1 \frac{3}{5} [/tex] kilometers of the beach shoreline. 
Final answer:

To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along. Maggie and her friend walk 8/5 kilometers of the beach shoreline.

Explanation:

To find out how many kilometers of the beach shoreline Maggie and her friend walk, we need to multiply the length of the shoreline by the fraction they walk along.

First, we need to convert the mixed number 2 2/5 to an improper fraction. We can do this by multiplying the whole number (2) by the denominator (5) and adding the result to the numerator (2), then putting the new numerator over the denominator. So, 2 2/5 is equal to (2 * 5 + 2) / 5 = 12/5.

Next, we can multiply the length of the shoreline (2 2/5) by the fraction they walk along (2/3). Multiply the whole number and numerator separately, then add the products and put the result over the denominator.

So, (12/5) * (2/3) = (12 * 2) / (5 * 3) = 24/15 = 8/5.

Maggie and her friend walk 8/5 kilometers of the beach shoreline.

cody spent $144 on shirts. fancy shirts cost $23 and plain shirts cost $13. if he bought a total of 8 then how many of each kind did he buy?

Answers

Sjsjsjwjswjjwjwjw snsnwwnw
let's say he bought x fancy shirts and y plain shirts
x+y=8→y=8-x
23x+13y=144

23x+13(8-x)=144
23x+104-13x=144
10x=40
x=4

he bought 4 fancy shirts

8-4=4

he bought 4 plain shirts

Light travels at a speed of about 3.0x10^8 meters per second. How far does light travel in 4,500 seconds You Would Get __ E __

Answers

light would travel approximately [tex]\( 1.35 \times 10^{12} \)[/tex] meters in 4,500 seconds.

To find out how far light travels in 4,500 seconds, we can use the formula:

[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]

Given that the speed of light is approximately [tex]\( 3.0 \times 10^8 \)[/tex] meters per second and the time is 4,500 seconds, we can plug these values into the formula:

[tex]\[ \text{Distance} = 3.0 \times 10^8 \text{ m/s} \times 4,500 \text{ s} \][/tex]

Calculating this gives us:

[tex]\[ \text{Distance} = 1.35 \times 10^{12} \text{ meters} \][/tex]

So, light would travel approximately [tex]\( 1.35 \times 10^{12} \)[/tex] meters in 4,500 seconds.

If you take a certain number 2.5 times then add 1.75 and divide the result by 0.8, you’ll get 37.5. What was the original number?

Answers

Answer:

The original number is 11.3

Step-by-step explanation:

Let the number is x and then we form the equation to solve it for the value of x.

1- Number is multiplied by 2.5 then it becomes = 2.5x

2- Then we add 1.75 to the expression then new expression will be = 2.5x + 1.75

3- We divide the result by 0.8 then expression will be = [tex]\frac{2.5x + 1.75}{0.8}[/tex]

4- Now the final expression is equal to 37.5 so the equation will be

[tex]\frac{2.5x + 1.75}{0.8}[/tex] = 37.5

Now we multiply 0.8 in both the sides of the equation

[tex]\frac{2.5x + 1.75}{0.8}[/tex]×0.8 = 37.5×0.8

2.5x + 1.75 = 30

2.5x = 30 - 1.75

2.5x = 28.25

x = 28.25/2.5 = 11.3


Answer:

11.3

Step-by-step explanation:

I need to hurry so I don't have enough time to write this down.

determine the area of the composite figure shown below

Answers

I divided the figure into two rectangles, found their areas separately and added them up to get the final area 168 cm squared.

Find the values of the power in the following pattern: (10)1, (10)2, (10)3, (10)4....Describe the pattern, and use it to evaluate (10)6 without using multiplication

Answers

10^1 = 10
10^2 = 100 {10 x 10 = 100}
10^3 = 1000 {10 x 10 x 10 = 1,000}
10^4 = 10000 {10 x 10 x 10 x 10 = 10,000}

The exponent represents how many zeros will be used in the answer. For example, 10^6 would include 6 zeros in it’s answer; 1,000,000.

the measure of an angle is 34 degrees what is the measure of its supplement

Answers

Hey there!

We would have to remember that (supplement) angles are always [tex]180[/tex]°. So, sense this would be the case, if that  measure of an angle is 34 degrees, we would then obviously subtract it then.

[tex] \left[\begin{array}{ccc}\boxed{\boxed{180 - 34}}\end{array}\right] = \left[\begin{array}{ccc}\boxed{\boxed{146 \ would \ be \ the \ answer}}\end{array}\right] [/tex]

Hope this helps you dear!

The measure of the supplement angle is 146 degrees.  

What are supplementary angles?

The supplementary angles is defined as when pair of angles addition to 180° then they are called as supplementary angles. There are two types of supplementary angles.

What are Adjacent angles?

Adjacent angles is the type of supplementary angles. Adjacent angles have a common side and vertex, for example a corner point. Their points do not overlap in any way. In other terms, adjacent angles is pair of two angles next to each other

Given that the measure of an angle is 34 degrees

Let x = the measure of the supplement angle.

Two angles whose sum is 180 degrees are supplementary.

∴ x + 34 = 180

Then, (180 -34 ) is the supplement of that angle.

The measure of the supplement angle = 146 degrees  

Hence, the measure of the supplement angle is 146 degrees.  

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Prove the divisibility of the following numbers:

51^7-51^6 by 25

Answers

To prove the divisibility lets expand each number first to get the complete picture of the problem

51^7 =   8.974106779 . 10^11

51^6 =  1.75962878 . 10^10

(51^7 - 51^6) =  8.974106779 . 10^11 -  1.75962878 . 10^10

                    = 8.798143901. 10^11

[tex]\frac{8.798143901. 10^11}{25}[/tex]

= 3.51925756. 10^10

That is the answer expressed in scientific notation

= 35192575600

Which means the divisibility is proven

Step-by-step explanation:

[tex]51^7-51^6=51^{6+1}-51^6\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=51^6\cdot51^1-51^6\cdot1\\\\\text{use the distributive property}\ a(b-c)=ab-ac\\\\=51^6\cdot(51-1)=51^6\cdot50=51^6\cdot(2\cdot25)=25\cdot(51^6\cdot2)[/tex]

[tex]\text{One of the factors of the product is the number 25.}\\\\\bold{CONCLUSION:}\\\\\text{The whole product is divisible by 25.}[/tex]

[tex]\text{Therefore}\ 51^7-51^6\ \text{is divisible by 25.}[/tex]

Which rules of exponents will be used to evaluate this expression? Check all that apply. [(-8)^4]-5 (-8)6
product of powers
quotient of powers
power of a power
power of a product
negative exponent
zero exponent

Answers

Answer:

the answers are

b,c,e

quotient of powers, power of a power, and negative exponent

got it right on the quiz

Step-by-step explanation:

Answer:

B,C,E

Step-by-step explanation:

edge 2022

Which property changes when a figure is translated

Answers

When a figure is translated, the orientation, angle measurements, and side measurements, all stay the same. The coordinates of the figure are in which the only thing that changes during a translation.

A flower shop normally orders 35 2/7 pounds of roses each week. The shop is planing on ordering five times as many pound of roses the week of Valentine’s Day. How many pounds of roses should the order be?

176 3/7 pounds
174 pounds
175 5/7 pounds
174 5/7 pounds

Answers

The answer is 176 3/7

35 2/7x 5=
247/7 x 5/1 =
247x5 over 7x1=
1235/7=
176 3/7

I converted it to an improper fraction to multiply and then converted it back into a mixed number.

Answer:

176 3/7

Step-by-step explanation:

Can someone help me with number 33 please

Answers

2m + 15(m - 1) = 20(m - 3)

2m + 15m - 15= 20m - 60

17m - 15 = 20m - 60

-3m = -45

m = 15

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate for the data below.
Survey responses of "yes comma " "no comma " and "no opinion"Survey responses of "yes," "no," and "no opinion"
Choose the correct answer below.
A.
The nominalnominal level of measurement is most appropriate because the data cannotcannot bebe ordered.ordered. nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing
B.
The intervalinterval level of measurement is most appropriate because the data can becan be ordered comma differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point.there is no natural starting point.
C.
The ratioratio level of measurement is most appropriate because the data can be ordered commacan be ordered, differences left parenthesis obtained by subtraction right parenthesis can be found and are meaningful comma and there is adifferences (obtained by subtraction) can be found and are meaningful, and there is a natural starting point.natural starting point.
D.
The ordinalordinal level of measurement is most appropriate because the data can becan be ordered comma but differences left parenthesis obtained by subtraction right parenthesis cannot be found or areordered, but differences (obtained by subtraction) cannot be found or are meaningless.

Answers

c I hoC. I think I hope this helps you!

Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff's total was $18.90 before tax? a. $3.19 b. $2.95 c.$4.37 d. $15.95

Answers

the answer is A. 3.19, all you have to do it multiply 3.19x5 then add the 2.95 hope this helps

Answer:

3.19

Step-by-step explanation:

I'll give brainliest if you show your work. Plz answer quickly in less than 45 minutes.
Which two points should the line of best fit go through to best represent the data in the scatterplot?
(1, 16) and (2, 15)
(1, 16) and (6, 1)
(2, 15) and (4, 9)
(5, 8) and (6, 1)

Answers

i would say 2,15 and 4,9 as it shows that the line changes angles between the two points.

Answer:

2,15 and 4,9

Step-by-step explanation:

this is because these two points are in between the other two sets of points.

Last year the attendance at the homecoming football game was 300.This year 360 people attended.What was the percent increase from last year to this year

Answers

The percent increase is 20%.
The percent increase is about 20% the answer would be more accurate if there was an exact number on how many students went to the school. Hope this helps you!

The graph represents function 1, and the equation represents function 2:

A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 3.

Function 2
y = 5x + 4

How much more is the rate of change of function 2 than the rate of change of function 1?

Answers

The rate of change of Function 2 is 5, the coefficient of x.
The rate of change of Function 1 is 0, because there is no change.

The rate of change of function 2 is 5 more than the rate of change of function 1.

The table given are for the linear functions f(x) and g(x) what is the input value for which f(x) = g(x) is true ?
x=

Answers

Do you have trouble comparing the values in one table to those in the other?

f(x) = 3 for all values of x, so you only need to find the entry in the g(x) table where g(x) = 3. The corresponding x-value is
.. x = -1

The functions f(x) and g(x) will be equal at x = -1 the input value will be -1.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Two function f(x) and g(x) shown in the table.

From the table:

At x = -1

f(-1) = 3

At x = -1

g(-1) = 3

f(-1) = g(-1)

or

f(x) = g(x) at x = -1

Thus, the functions f(x) and g(x) will be equal at x = -1 the input value will be -1.

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Please give answer and explain please.

Answers

The diagram shows you the radius of the circle is 1. It also tells you the value to use for π is 3. After you put these values in the formula, the rest is just arithmetic.
.. C = 2*π*r
.. C = 2*3*1
.. C = 6
Circumference is the roundabout measure of a circle. To find this, you need to use the equation listed in the bottom right-hand corner. R is your given radius (1) and instead of using the usual estimated number value for pi (3.14) you will use 3.

Multiply 2(1)(3) = 6

6 is the value of your circumference.


What geometric shape may describe a quadrilateral that has exactly two pairs of parallel sides and no right angles? (If you don’t know that don’t answer...otherwise I will report you from the system)

Answers

The answer is a parallelogram.  Quadrilateral have 4 sides, and if there are not right angles, it cannot be a rectangle because that is the added characteristic of rectangles.  All rectangles are actually parallelograms, but only parallelograms will have exactly 2 pairs of parallel sides with no right angles.  The statement says "may" because as I mentioned before, rectangles are parallelograms too!
Other Questions
How did china and Chinese life change during the Ming and Qing dynasties? Who were the agents of change during old west expansion Help please?! Can anyone from CA help me bring up my grade?1. Why does Laetitia move away from home? (1 point) She wants to live with her boyfriend. She and her mother have a huge argument. She is pregnant. She is bored. "Delfino II: Diez in the Desert" 2. The word __________ is used for someone who smuggles people across the Mexico- U.S. border. (1 point) coyote border patrolista ranchera cougar 3. The first thing that went wrong on Diezs ill-fated trip was that _____. (1 point) a woman became delirious and died a rash struck those who had been slashed by cactus needles Diez got in a fist Math help? One question? Solve for x. 35x+5=45 Enter your answer in the box. x = Which technique indoctrinates people into performing actions against their beliefs by initially requesting them to carry out apparently small, harmless tasks? classical conditioning foot in the door operant conditioning role playing malia is at an amusement park she bought 14 tickets and each ride requires 2 tickets write an expression that gives a number of tickets malia has left in terms of x the number of rides she has already gone on find atlas one other expression that is equvalent to it A cube has a surface area of 1,014 square meters. what is the length of one side. During the systole phase of the cardiac cycle, the left ventricle contracts and blood is pumped into the aorta. Which of these valves prevent a backflow of blood into the left atrium?A. Aortic valve B. Tricuspid valveC. Mitral valve Which two 23.5-latitude locations are influenced by cool surface ocean currents After focusing for so long on total quality management, mobley industries found that while their product defects decreased by 18%, their product costs increased by 42%. what can they do to bring down their costs? PLEASE HELPAndre must pay a co-pay of $15 for an office visit. his insurance company will then pay 80% of the cost of the visit. how much will andre pay for an office visit that costs $310$62$65$77$80 Which of these would be the BIGGEST threat to combatting the spread of HIV/AIDS in Africa? A)a disruption in the exporting of oil B)political instability within a country C)a trade embargo with the Middle East D)boycotting the next Summer Olympic games Bats use ultrasound in echolocation. This sound is characterized by _____. A. low frequency B. low amplitude C. high frequency D. high amplitude what makes a nucleus stable When will the net enthalpy of formation of a solution (hsolution) be endothermic? When children witness other children cry when getting a vaccination, and the witnesses then cry before the needle even touches them, it is an example of? The table shows numbers of books read by students in an English class over a summer and the students grades for the following semester. a) Find the line of best fit. Write in the equation for the line of best fit.b) Use your equation to predict the grade of a student who reads 15 books. Show all your work. Read this passage from Henry David Thoreau's Walden:When the ground was not yet quite covered, and again near the end of winter, when the snow was melted on my south hill side and about my wood-pile, the partridges came out of the woods morning and evening to feed there. Whichever side you walk in the woods the partridge bursts away on whirring wings, jarring the snow from the dry leaves and twigs on high, which comes sifting down in the sunbeams like golden dust; for this brave bird is not to be scared by winter. It is frequently covered up by drifts, and, it is said, "sometimes plunges from on wing into the soft snow, where it remains concealed for a day or two." I used to start them in the open land also, where they had come out of the woods at sunset to "bud" the wild apple trees. They will come regularly every evening to particular trees, where the cunning sportsman lies in wait for them, and the distant orchards next the woods suffer thus not a little. I am glad that the partridge gets fed, at any rate. It is Nature's own bird which lives on buds and diet drink.1Which statement best summarizes the passage? A.Local partridges are undeterred by the harshness of winter and manage to find food in any circumstances. B.Sneaky sportsmen lie waiting in the woods to hunt partridges. C.The local partridges like to feed near the narrator's woodpile. D.Winters are very harsh at Walden Pond, and all the wildlife is affected by the cold weather. Scientists have changed the DNA of a type of cabbage so that it contains a tiny amount of poison from a scorpions tail. The poison in the cabbage kills caterpillars that try to eat it. This is an example of A) gene therapy. B) selective breeding. C) genetic engineering. D) artificial selection.