8. Give the slope of y + 2 = 3(x-7) and a point on the line.
a. The slope is 3 and (-7, 2) is on the line.
b. The slope is 3 and (7, -2) is on the line.
c. The slope is 2 and (7, 3) is on the line.
d. The slope is 7 and (3, 2) is on the line.
9. What is the point-slope equation of the line containing the points (3, 3) and
(6,5)?
a. y - 3=(x-3)
b. y 3 = (x + 3)
c. y + 3 =(x-3)
d. y + 3 = 3(x - 2)
10. The slope of a given line is 3. The line that is parallel to it has a slope of:
a. -3
b. ½
C. -1
d. 3
11. The slope of a given line is 4. The line that is perpendicular to it has a slope of:
a. -4
b. -
C. 4

Answers

Answer 1

Answer: b c

Step-by-step explanation:


Related Questions

In 5.2, which digit is in the tenths place?

Answers

Answer:

2

Step-by-step explanation:

The number right after the decimal is the tenths place.

More in-depth example:

1.234

1 is your integer(regular number)

2 is your tenths

3 is hundreths

4 is thousandths

a pet store owner believes that dog owners spend more on average than cat owners on their pets. the owner randomly records the sales of 40 customers that said they only owned dogs and 40 customers that said they only owned cats. what is the correct decision and summary based on the excel output below? assume the populations are approximately normally distributed with unequal variances.

Answers

The correct decision and summary based on the excel output below is  Standard Error =5.389361. and P-value=0.5364.

Two sample T summary hypothesis test:

[tex]u_{1[/tex] : Mean of Population 1

[tex]u_{2}[/tex] : Mean of Population 2

[tex]u_{1} -u_{2}[/tex] : Difference between two means

[tex]H_{0}[/tex] : [tex]u_{1} -u_{2}[/tex] = 0

[tex]H_{a}[/tex] : [tex]u_{1} -u_{2}[/tex]

 0

(without pooled variances)

Hypothesis test results:

Difference = u1-u2

Sample Diff=3.34725

Standard Error =5.389361.

DF=77.988073

T-Stat=0.62108476

P-value=0.5364

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round 64,926 cs im lazy

Answers

Answer:

65

Step-by-step explanation:

took the test and passed. I love helping others and so I hope this helps

Part D
At one point on the trip, the miles are recorded as 15,121 when the gas tank is
75% full. Use a ratio equation to determine the miles per gallon the sedan
averages. Round your answer to the nearest whole number.

Answers

The sedan gets 1090 miles per gallon on average, according to the ratio equation.

What exactly is a ratio?

A ratio is an ordered pair of numbers a and b, denoted by the a / b, where b is not equal to zero.

What is a ratio example?

If there are eight oranges and six lemons in a bowl of fruit, the orange-to-lemon ratio is eight to six.

Given: When the gas tank is 75% full, the mileage is recorded as 15,121.

A sedan tank is typically 18.5 gallons in size. So it holds 13.875 gallons of gas if it is 75% full. If it traveled 15,121 miles, the mileage per gallon is 1090, rounded to the nearest whole number.

The calculation of miles per gallon using the ratio equation:

Let, x = miles per gallon

15121:13.875 is the ratio.

x/1= 15121/13.875

13.875x = 15121

x = 15121/13.875

x = 1089.80, which equates to 1090 miles per gallon

As a result, the ratio equation used to calculate the sedan's miles per gallon averages 1090 miles per gallon.

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you find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. what is the approximate age of the bone?

Answers

The approximate age of the bone is 22920

The half-life of an isotope is characterized as the sum of time it takes for there to be half the beginning sum of the radioactive isotope present.

since we know for half time

N = N₀(1/2) n     ..........1

where n is the new amount whereas N₀ is the initial amount  and n is the number of half time

since the ratio of  14c:12c  is 1/16

so the equation 1 gets converted  to

N/No =(1/2)n

=>1/16 = (1/2)n

=>(1/2)4 = (1/2)n

=> n= 4

So the age of the bone will be 4*  5730 =22920

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You find a piece of bone that has a 14c/12c ratio that is 1/16 that of the atmospheric 14c/12c ratio. If the half-life of 14C is 57305730 years what is the approximate age of the bone?

can someone please help solve this math problem with solution? thank u!

Answers

Answer:

the answer is 196

63^2-49^2

(7×9)^2 -(7×7)^2

7^2 (9-7)

7^2 ×2^2

49 × 4

196

Answer:

1568

Step-by-step explanation:

i simplified the expression

Which of the following transformations would make corresponding line segments between a pre-image and image not be parallel?

Answers

The transformation of rotating 90° around a point not on the line segment would make corresponding line segments between a pre-image and image not be parallel.

We have a line segment.(a) Suppose we have another line parallel to the given line segment. If we take the reflection of the line segment over the line, it will result in a parallel line segment only.(b) Suppose we have an arbitrary point which is not on the line segment. We rotate the line segment by an angle of 90° about the point. This will change the direction of the line segment.(c) If we translate the line segment in a direction perpendicular to the line segment, it will just change its position, but it will still remain parallel.(d) Suppose we have an arbitrary point which is not on the line segment. We rotate the line segment by an angle of 180° about the point. This will make the line segment again parallel to what it was before.

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g(x) = −5x + 2, find g(–4).

Answers

Answer:

g(x)=22

Step-by-step explanation:

Substitute -4 into the equation.

g(x)= -5x+2

g(-4)= -5(-4)+2

g(-4)= 20+2

g(-4)= 22

algebra 1. g(x)=x^{2}-x, g(3b)

Answers

The output value of g( 3b ) in the function g( x ) = x² - x is 9b² - 3b.

What is the value of g( 3b ) in the function?

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

g( x ) = x² - xg( 3b ) = ?

To determine the output value of g( 3b ), replace all the occurrence of x with 3b in the function and simplify.

g( x ) = x² - x

g( 3b ) = (3b)² - 3b

Apply product rule

g( 3b ) = 3²b² - 3b

Raise 3 to the power of 2

g( 3b ) = 9b² - 3b

Therefore, the output value of g( 3b ) is 9b² - 3b.

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A rectangular park is 40 yards wide. Then a city planner designs a path that is 1 yard wide to run all the way around the park. Now the area of the park plus the path is 4200 yd.² how long is the park not counting the path?

Answers

The park is 98 yards long, not counting the path.

We are having a park that is rectangular in shape.The width of the rectangular park is 40 yards.The city planner designs a path that is 1 yard wide to run all the way around the rectangular park.The area of the rectangular park plus the path is 4200 square yards.Let the length of the rectangular park be "x".The width of the rectangular park, including the path, is 42 yards.The length of the rectangular park, including the path, is "x+2" yards.The area of the rectangular park, including the path, is the product of the length and its breadth.42*(x+2) = 4200x+2 = 100x = 98Thus, the length of the rectangular park is 98 yards.

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Mrs. Hull calculated the measure of central tendencies for the two plants in her science class. The measures are recorded below.Which measure of central tendency would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants?

Answers

The measure of central tendency that would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants is the median.

What is central tendency?

The definition of central tendency is the statistical metric that identifies a single value as representative of a whole distribution. It strives to provide a complete explanation of the data. It is the single most representative number from the obtained data.

A measure of central tendency is a single value that seeks to represent a set of data by identifying the data's central position. The mode measurement is the one with the highest frequency.

When plants are placed in a circle, the median is the measurement of the middle plant provided in descending be order of sizes.

When there are a few extreme scores in the data distribution, the median is the recommended measure of the central tendency.

In conclusion, the correct option is the median.

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trucks in a delivery fleet travel a mean of 110110 miles per day with a standard deviation of 2626 miles per day. the mileage per day is distributed normally. find the probability that a truck drives at least 125125 miles in a day. round your answer to four decimal places.

Answers

The probability that a truck drives at least 125125 miles in a day is 0.6839.

Given

trucks in a delivery fleet travel a mean of 110110 miles per day

standard deviation of 2626 miles per day

To find

find the probability that a truck drives at least 125125 miles in a day

Solution :

μ  = 110

σ  =  26

P (  63 < x < 125   )

=  P [ ( 63 - 110 )  / 26  < ( x  -  μ )  / σ <  ( 125 - 110 )  / 26  ]

=  P ( - 1.81 < z < 0.58 )

=  P (  z <  0.58 )  -  P (  z < -1.81)

using  standard normal table

=  0.7190 -  0.0351

=  0.6839

Probability  =  0.6839 .

Hence the probability that a truck drives at least 125125 miles in a day is 0.6839

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Rule 1: Add 3 starting from 0. Rule 2: Add 9 starting from 0. Complete the first 5 terms using the rules. How are the corresponding terms related?

Answers

Given the following question:

Rule one: + 3

Rude two: + 9

3, 6, 9, 12, 15

3 + 3 = 6 + 3 = 9

9 + 3 = 12 + 3 = 15

= 15

9, 18, 27, 36, 45

9 + 9 = 18 + 9 = 27

27 + 9 = 36 + 9 = 45

= 45

We are now given..

3, 6, 9, 12, 15

9, 18, 27, 36, 45

They are related because these terms also have a rule, if you mutlply 3, by 3 we get 9, if we multiply 6 by 3 we get 18. The second sequence is three times the corresponding term in the first sequence or the first option.

Your answer is the first option.

a manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of 1.3 inches. if one item is chosen at random, what is the probability that it is less than 16.4 inches long?

Answers

The probability of the random item chosen that it is less than 16.4 inches long is 2.7%

Probability means ?

The likelihood of an event happening is calculated using the probability formula. To review, probability is the probability that an event will occur. What is the likelihood that a specific event will occur when a random experiment is considered? is one of the first queries that pops into our heads. A prediction's chance is expressed as a probability. If we suppose that, for example, x represents the probability that an event will occur, then (1-x) is the probability that the event will not occur.

Variance of sample mean =1.3^2/1= 1.69

S D of sample mean =1.69^(1/2)= 1.3

Z score for length of 16.4 is( 16.4-15.4)/1.3= 0.7692307

The p value for -1.67 in standard normal table is 0.04746

The required probability =0.02764

Only 2.7% of the time will the sample mean be shorter than 16.4 inches.

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Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning.

Answers

5=2/3(6)+1, 5=12/3+1, 5=4+1, 5=5 | 8=2/3(9)+1, 8=18/3+1, 8=6+1, 8≠7. Thé second one is incorrect but the first one is correct because if you plug in the x and y that is what you would get.

can someone pls explain to me how to find y intercept

Answers

Answer:

(0, -5)

Explanation:

The function is represented by f(x), and the line graphed would be y= f(x). In slope-intercept form, the equation of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

Since we know that the line is linear, any two points along the line would give us the same slope value. Since y-intercepts occur at x= 0, let the y-intercept be (0, y).

[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope between (-3, 1) and (1, -7)= slope between (-3, 1) and (0, y)

[tex] \frac{1 - ( -7 )}{ - 3 - 1} = \frac{y - 1}{0 - ( - 3)} [/tex]

[tex] \frac{1 + 7}{ - 4} = \frac{y - 1}{0 + 3} [/tex]

[tex] \frac{8}{ - 4} = \frac{y - 1}{3} [/tex]

[tex] - 2 = \frac{y - 1}{3} [/tex]

Multiply both sides by 3:

-2(3)= y- 1

-6= y -1

Add 1 to both sides:

y= -6 +1

y= -5

Thus, the y-intercept is (0, -5).

__________

Based on the image, however, we are to find the equation of the linear function in slope-intercept form.

The first step would be to find the slope between any two points, which would be -2. This is found using the slope formula, and we have calculated it above.

Substitute the value of the slope into y= mx +c:

y= -2x +c

The y-intercept can be found by substituting a pair of coordinates the line passes through.

When x= -3, y= 1,

1= -2(-3) +c

1= 6 +c

c= 1 -6

c= 5

Thus, the equation of the line is y= -2x +5.

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Answer:

y = - 2x - 5

The intercept is 5 because that is where the graph cuts the y axis.

PLEASE MARK AS BRAINLIEST IF YOU FOUND IT HELPFUL BECAUSE IT MAKES ME FEEL GOOD!

Step-by-step explanation:

Linear Standard Form

y = mx + c;

The m equals the change in y divided by the change in x. If you choose left to right for y then you must do the same for x as well.

Δy = ( - 7 ) - ( - 15 ); Δx = 1 - 5;

Δy = - 7 + 15;

Δy = 8;

Δx = - 4;

m = 8 / - 4;

m = - 2;

y = - 2x + c;

Point Substitution

Pick a point (x, y) and sub it into the equation. Make sure to use brackets when subbing.

- 7 = - 2( 1 ) + c;

- 7 = - 2 + c;

Add 2 to both sides.

- 7 + 2 = - 2 + 2 + c;

- 5 = c;

c = - 5;

The c is the intercept.

y = - 2x - 5

What’s 8(2y-6x)=4+2x as a sentence?

Answers

Answer:

8 times 2y minus 6x is equal to 4 plus 2x

What pattern do you notice in these two
measurements,
10.3 cm and 103 mm?

Answers

they are the same just without a decimal/ one is in the tenths place and the other is a whole number

what is the y- intercept of y=4+x

Answers

Answer: the y-intercept of this equation is (0,4)

Step-by-step explanation:

0:3:4=9:y
Find y please

Answers

Based on the ratios given of 0.3 : 4 = 9 : y, the value of y can be found to be 120

How to find the value of y?

From the given ratios of 0.3 : 4 = 9 : y, we can infer that these are equivalent ratios.

This means that y is to 9, what 4 is to 0.3.

The value of y can therefore be found by direct proportion:

0.3 : 4

9 : y

Cross multiplying gives:

0.3 y = 36

y = 36 / 0.3

y = 120

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Find WI if IE = 3
EW and YG are medians of AXYW

Answers

Based on the median and the centroid theorem, the length of WI is 6 units.

What is the Median of a Triangle?

The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the median of a triangle.

According to the centroid theorem, since J is the centroid of triangle XYW, then:

the length of IE is 1/3 of the length of segment EW.

Thus, the equation that relates the length of the segments is;

IE = 1/3(EW)

Given that:

IE = 3 units

Now Substitute the value of IE into the equation:

3 = 1/3(EW)

3(3) = EW

9 = EW

EW = 9 units

Therefore:

The Length of WI = the length of EW - the length of IE

Substitute;

Length of WI = 9 - 3

Length of WI = 6 units.

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A savings account increases from 200$ to 208$. What is the percent increase of the savings account?

Answers

I think the answer is 4%

I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(

Answers

Answer:

Step-by-step explanation:

To find the cost of the apples, simply multiply the cost by how much Derek buys. So: 3.8 * 1.35= 5.13.

So, For Part A the answer is  A.

For Part B: We need to find the total cost of both apples and oranges. We already know the total cost of apples is 5.13. We need to find the cost of oranges.

We multiply:

5.2* 1.45= 7.54

Now, add the totals together: 7.54+5.13

The total is 12.67.

If Derek payed with a 20 dollar bill, we would subtract 20 with 12.67.

The answer is 7.33. So the answer is A.

HELP PLEASE ILL MARK U BRAINLIEAST!!

this is for geometry can someone please help me find the missing angles?

Answers

x=50
y=40
Explaination: the 90 degree angles are labeled with the little square and 50 + 40 = 90

Answer:

x = 50° , y = 40°

Step-by-step explanation:

x and 40° form a right angle and sum to 90° , that is

x + 40° = 90° ( subtract 40° from both sides )

x = 50°

x and y form a right angle and sum to 90° , then

x + y = 90°

50° + y = 90° ( subtract 50° from both sides )

y = 40°

what is the constant porpotionality of y=7.29x

Answers

Answer:

7.29

Step-by-step explanation:

the equation of proportionality is

y = kx ← k is the constant of proportionality

y = 7.29x ← is in this form with k = 7.29

* 100 POINTS *
At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost
$2.35. One day, the receipts for a total of 172 cones and sundaes were
$294.20. How many cones were sold?

You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you
purchase 6 gal of paint and 2 brushes for $113.00. How much does each
gallon of paint and each brush cost?

Two separate questions. 100 points for both answered. Brainliest if both answered.

Answers

Answer:

1.) 88 cones were sold

2.) $17.00 per gal of paint; $5.50 per brush

Step-by-step explanation:

1.) ($1.10(88)= $96.80) + ($2.35(84)= $197.40)= $294.20

2.) I have a really complicated process, and it's really late at night where I am

Answer:

For the first question, 88 cones were sold

For the second question, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (that is, 5 dollars and 50 cents).

Step-by-step explanation:

For the first question,

Let the number of ice cream cones be represented by the letter 'x'

And the number of sundaes be represented by the letter 'y'

[tex](1.10x + 2.35y) = 294.20 \: \: \: equ.2 \\ (x + y) = 172 \: \: \: equ.1[/tex]

Solving it simultaneously, subtract equ. 2 from equ. 1

[tex]0.10x - 1.35y = 122.20[/tex]

Making x the subject,

[tex]x = \frac{122.20 + 1.35y}{0.10} [/tex]

Substitute the value of x above in equ. 1

[tex] \frac{122.20 + 1.35y}{0.10} + y = 172[/tex]

L. C. M = 0.10

Multiply through by the L. C. M

[tex]122.20 + 1.35y + 0.10y = 17.2[/tex]

Collect like terms

122.20 - 17.2 = - 1.35y - 0.10y

105 = - 1.25y

[tex]y = \frac{105}{1.25} = 84[/tex]

Substituting the value of y in equ. 1

[tex]x + 84 = 172 \\ x = 172 - 84 \\ x = 88[/tex]

Therefore, 84 sundaes were sold and 88 ice-cream cones were sold.

For the second question, let paint represent 'p' and brush represent 'b'

[tex]8p + 3b = 152.5 \: \: \: equ2 \\ 6p + 2b = 113 \: \: \: equ1[/tex]

Solving simultaneously,

Subtract equ2 from equ 1

[tex]2p + b = 39.5 \\ b = 39.5 - 2p[/tex]

Substituting the value of b in equ1

[tex]6p + 2(39.5 - 2p) = 113 \\ 6p + 79 - 4p = 113[/tex]

Collect like terms

[tex]2p = 113 - 79 \\ 2p = 34 \\ p = 17[/tex]

Substituting the value of p in equ1

[tex]6(17) + 2b = 113 \\ 102 + 2b = 113[/tex]

Collect like terms

[tex]2b = 113 - 102 \\ 2b = 11 \\ b = 11 \div 2 \\ b = 5.5[/tex]

Therefore, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (i.e 5 dollars, 50 cents)

If x=3yz^2, what is y in terms of x and z?

Answers

Two or more expressions with an Equal sign is called as Equation. y=x/3z^2 for equation  x=3yz^2  in terms of x and z

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is x equal to three y z square.

x=3yz²

We need to solve for y.

We need to separate y from other variables.

Divide both sides by 3z²

x/3z²=y

Hence y=x/3z² for equation  x=3yz²  in terms of x and z

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PLS HELP ASAP (100 POINTS) The equation for the line of best fit for change in temperature, y, to amount of snow, s, is given by ŷ = − 2.6s + 1.1. On Friday, the observed amount of snow was 1.3 inches and the temperature change was 1.2 degrees. Find and interpret the residual.

1.08; The line of best fit underpredicts the temperature change.
−1.08; The line of best fit overpredicts the temperature change.
−3.48; The line of best fit overpredicts the temperature change.
3.48; The line of best fit underpredicts the temperature change.

Answers

Answer:  Choice D

residual = 3.48

The line of best fit underpredicts the temperature change.

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

Explanation:

If s = 1.3, then ŷ is...

ŷ = -2.6s + 1.1

ŷ = -2.6*1.3 + 1.1

ŷ = -2.28

This is the estimated or predicted y value based on the input s = 1.3

Let's now compute the residual

e = residual error

e = (observed y value) - (predicted y value)

e = y - ŷ

e = 1.2 - (-2.28)

e = 1.2 + 2.28

e = 3.48 is the residual

A positive residual means that the predicted y value, aka ŷ, is an underestimate compared to the true observed value. In other words, the observed y value is higher than the ŷ value. Therefore, the line of best fit under-predicts the temperature change.

Allison heads out on a three day sailing trip. On the first day, she sails 45 miles east and 15 miles north. On the second day,
she leaves from the exact location she ended the day before and makes it 35 miles east and 30 miles south. On the third
day, she gains another 15 miles east and 55 miles south. At the end of her final day, how far is she from her initial starting
point? Round your answer to the nearest whole number.

Answers

Answer:

118 miles

Step-by-step explanation:

Explanation in photo attached

0.4υ – (3ω + 9) Write an equivalent expression by distributing the “-“ sign outside the parentheses

Answers

The equivalent expression for the given expression is 0.4υ - 3ω - 9.

The given expression is 0.4υ - (3ω + 9).

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The equivalent expression for the given expression can be written as follows:

0.4υ - (3ω + 9)=0.4υ - 3ω - 9

Therefore, the equivalent expression for the given expression is 0.4υ - 3ω - 9.

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately =50.2 . You would like to be 90% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required? What types of evidence do scientists examine as they make hypotheses about how organisms are related to one another?. Looking at his lab results, Taye's doctor tells him that he must be fighting off some kindof infection. Taye is surprised because she only drew blood. What reading MOST likelygives Taye's doctor this suspicion?His blood plasma is extremely thin.His red blood cell count is high.He has a low platelet count.His white blood cell count is high. WILL GIVE 25 POINTS so have a research project : topic proposal for history 146 and I need help with Thesis statement and 3 arguments following it Keywords Political , party, federalist , Alexander Hamilton , Thomas Jefferson Choose all equivalent expression ( s). (4) ^ (3z ^ 2); (4) ^ (- 3x ^ 2); (1/4) ^ (3z ^ 2); (pi/4) ^ (3x) Which of the following are implications that demonstrate that the definition of tolerance is inconsistent with moral relativism?It implies it is immoral to judge.It implies there must be judgment.It implies some actions are not the norm and do not measure up to some standard.It implies some actions require tolerance. The Preamble can be broken down into six reasons that the Constitution was created. Name at least three of these reasons. What I need to know is that what is 3.5x2 What symbol makes -3/4 and -11/12 a true sentence? Help with 4.), 5.), 8.), 10.), 12.) ? It due at 8:00, its 5:12 rn Loftus used her research to prove that __________. a. memories of childhood trauma are usually true b. adults memories are concrete and rigid c. children have better memories than adults d. false memories could be created using suggestion please select the best answer from the choices provided a b c d What is equivalent to 4x-3y=15 sun-jun relies on a cost-benefit analysis to decide if moving operations overseas is better than increaseing the size of the current manufacturing facility in the united states Because Americans were listening to the same radio programs across the U.S., American culture became more:A. exciting. B. different.C. unique.D. similar What integer would represent a withdrawal of $170? 17. What is the value of x in the rhombusbelow?AC(x+ 40)B3xD The next model of a sports car will cost 11.5% less than the current model. The current model costs $59,000. How much will theprice decrease in dollars? What will be the price of the next model? What were Hitlers beliefs that he expressed in Mein Kampf?Jewish people were to blame for Germanys problems.Jewish people were to blame for Germanys problems.Revolution was needed to create a classless society.Revolution was needed to create a classless society.Germany could control the world with the help of the Japanese.Germany could control the world with the help of the Japanese.All races could live peacefully under German domination. the spread of farming and bantu languages took longer in africa than similar changes in eurasia because . a. warfare was continual between ethnic groups b. population density was lower c. cultural traditions worked against the incorporation of new ideas d. the dense forest impeded co I need help with that please