Which number best represents a temperature drop of twelve degrees?
A. -1.2
B.
1.2
C. -12
D.
12

Step-by-step explanation:

slope = ( y2-y1) / (x2-x1)

= (5-3) / (11-7)

= 1/2

y= mx+ b

m = slope

5 = 11/2 + b

5 - 5.5 = b

b = -0.5

the equation y = 1/2(x) - 0.5

The equation of line is x-2y =1

Slope-intercept form: The equation of line with slope m and making an intercept c on the y-axis, is y = mx + c.

Given coordinates are:

(7, 3) and (11, 5)

now, equation of line

(y- y1)= (y2-y1)/(x2-x1) *(x-x1)

y-3 =(5-3)/(11-7) *(x-7)

y-3= 2/4 * (x-7)

y-3= 1/2(x-7)

2y-6= x-7

x-2y =1

Hence, the equation of line is x-2y =1.

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Answer:

$20

Step-by-step explanation:

if 2 pounds= $4, 1 pounds = $2.

2*10=20, so 10 pounds= $20

Answer:

AT THE POINT NUMBER 2 IS INCORRECT !

Step-by-step explanation:

Answer:

8 miles per hour

Step-by-step explanation:

2/3 ÷ 1/12 = 2/3 ×12 = 8

Answer:

8x + 5

Step-by-step explanation:

\(3(x^{2} +2x+3) - 2(x^{2} +2)=\)

\(3x^{2} + 6x + 9 -2x^{2} -4=\)

\(5x^{2} +6x+5\)

Answer:

is X= Y= -2 3

Step-by-step explanation:

is easy question

Answer:

80^2 + 150^2

6400 + 22500 = 28,900

Something squared will equal 28,900

170^2 = 28,900

170 is your answer!

The length of the hypotenuse of the right triangle with legs of 80 feet and 150 feet is 170 feet.

To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

In this case, the legs of the triangle have lengths of 80 feet and 150 feet, so we can label them as follows:

Leg 1: a = 80 feet

Leg 2: b = 150 feet

We can then use the Pythagorean theorem to solve for the length of the hypotenuse, which we can label as c:

c² = a² + b²

Substituting in the values for a and b, we get:

c² = (80 feet)² + (150 feet)²

c² = 6,400 square feet + 22,500 square feet

c² = 28,900 square feet

c = √(28,900 square feet)

c = 170 feet

Therefore, the length of the hypotenuse of the right triangle with legs of 80 feet and 150 feet is 170 feet.

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Answer:

84.6 minutes

Step-by-step explanation:

94% of 90 minutes =

= 0.9 * 94 minutes

= 84.6 minutes

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

a = 80

b = 40

c = 58

d = 19

e = 34

f = 36

Pls mark brainliest. Thanks!

Answer:

a = 80

b=40

c=58

d=19

e=34

f=36

Step-by-step explanation:

Answer:

Yes, you need to find the GCF (greatest common factor) to solve this word problem.

The greatest common factor of 35 and 42 is 7. So you can create 7 teams with equal number of boys and girls on each team without leaving anyone out

Step-by-step explanation:

The statements that are true concerning the study that was carried out by the pharmaceutical company include the following: This study uses random sampling, This study uses blinding and This study uses a control group. That is option A, B and E.

A pharmaceutical company is defined as the company that has been certified to manufacture and distribute drugs such as the children's vitamin.

While selecting sample for the study, it was stated that 500 children grouped by age was randomly selected.

Out of the total samples, 250 was given the vitamin while the remaining half was given a placebo ( a blind) which would serve as concealment of the group allocation from them as they are serving as the control.

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Answer:

A,B,C,

Step-by-step explanation:

PLATO

Answer:

\(75\%\)

Step-by-step explanation:

\( \frac{3}{4} \times 100\%\)

100 is divided by 4, so you will get 25.

25 multiply 3, you will get 75%

So, the answer is 75%.

Answer:

Step-by-step explanation:

I'm not sure what you're asking for but I'll assume you mean what percentage is the three so:

There are 7 total parts bc 3 + 4 = 7.

3/7 is 42.857142857% repeating decimal

If you mean 3/4 then it's 75% bc 3/4 is 0.75

Answer:

Step-by-step explanation:

gradient = y2-y1/x2-x1

-6-0/4-12

-6/-8

=3/4

The points given are:

(2008, 240) and (2010, 280)

The formula for calculating mid-point is:

From the point given:

x₁=2008 y₁=240 x₂=2010 y₂=280

Therefore, the sales of cars in 2009 is 260 millions.

The recommended improvement is to introduce a placebo control (e.g., water) for Group B.

Here, we have,

To improve the experiment and research questions, introducing a placebo control (e.g., water) for Group B would be a valuable addition. This ensures that any observed differences in performance between the two groups are specifically attributable to the Awesome Drink Energy Juice and not influenced by other factors such as placebo effects or the act of consuming a beverage.

By including a placebo control, Group B would receive a drink that appears similar to the Awesome Drink Energy Juice but lacks the active ingredients or properties claimed to enhance performance. This allows for a more rigorous comparison between the effects of the energy juice and the placebo, providing a clearer understanding of the true impact of the intervention.

The improved research question would then be: Does the Awesome Drink Energy Juice improve Biochemistry performance compared to a placebo control?

Including a placebo control strengthens the experiment by providing a more robust comparison and addressing potential confounding variables that may affect the results. It helps to isolate the specific effects of the Awesome Drink Energy Juice and provides more reliable evidence of its impact on performance.

Therefore, the recommended improvement is to introduce a placebo control (e.g., water) for Group B.

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complete question:

The students in a Biochemistry class aren't performing as well as they could and the lecturer thinks that their grades can be improved by having students drink Awesome Drink Energy Juice. The lecturer splits the students into two groups, group A and group B: Group A receives the Awesome Drink Energy Juice and Group B does not. He asks them to complete as many Biochemistry problems as possible in one hour. At the end of one hour, Group A completed 27 problems and Group B completed 41 problems. How could his experiment (and research questions) be improved? Introduce a placebo control (e.g. water) for Group B O Add an additional control group that had good performance Make grades the dependent variable O Introduce a placebo control (e.g. water) for Group A O Add an additional control group that had low performance O Make grades the independent variable

(a) Mathematically, this can be expressed as: MRS = p1/p2, where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods. (b) This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

(a) To show that the indifference curve through an interior solution, denoted as x*, must be tangent to the consumer's budget line, we can use the concept of marginal rate of substitution (MRS) and the slope of the budget line.

The MRS measures the rate at which a consumer is willing to trade one good for another while remaining on the same indifference curve. It represents the slope of the indifference curve.

The budget line represents the combinations of goods that the consumer can afford given their income and prices. Its slope is determined by the price ratio of the two goods.

If x* is an interior solution, it means that the consumer is consuming positive amounts of both goods. At x*, the MRS must be equal to the price ratio for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MRS = p1/p2

where MRS is the marginal rate of substitution and p1/p2 is the price ratio of the two goods.

(b) If x* ∈ \(R+^2\)and x1* = 0, it means that the consumer is consuming only the second good and not consuming any units of the first good.

In this case, the marginal utility of the second good (MU2) divided by the marginal utility of the first good (MU1) should be less than the price ratio of the two goods (p2/p1) for the consumer to be in equilibrium.

Mathematically, this can be expressed as:

MU2/MU1 < p2/p1

This condition ensures that the consumer would not be willing to trade more units of the second good for the first good at the given prices, as it would violate the optimality condition for utility maximization.

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Answer:

4

Step-by-step explanation:

use pemdas.

4+4-4x4/4

4+4-16/4

4+4-4

8-4

4

Option A is correct.

For testing, if x is a significant predictor of y in simple linear regression, we need to determine if the slope is significantly different from zero.

What is linear regression?

A statistical technique known as linear regression is used to represent the connection between a scalar answer and one or more explanatory factors. When there is just one explanatory variable, simple linear regression is employed; when there are numerous explanatory variables, multiple linear regression is utilized.

Based on the value of another variable, linear regression analysis makes predictions about the value of the first variable. The dependent variable is the one you're trying to forecast. The independent variable is the one you are utilizing to make a prediction about the value of the other variable.

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In its new location, the entry will display as =M$7.

When a formula containing the entry =J$7 is copied to a cell three columns to the right and four rows down, certain adjustments occur. The entry has a dollar sign ($) before the row number, which means the row reference remains fixed during copying, while the column reference adjusts relatively.

For the row adjustment, copying four rows down from J$7 results in the new row reference being 7 + 4 = 11.

For the column adjustment, copying three columns to the right from J$7 means that the column reference moves three letters to the right, resulting in the new column reference being M.

Combining the adjusted row and column references, we get =M$7 as the entry displayed in its new location.

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Answer:

26

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees, use this and set up an equation;

x + ( 4x -5 ) + 55 = 180

Simplify

x + ( 4x - 5 ) + 55 = 180

5x + 50 = 180

Inverse operations;

5x + 50 = 180

    -50     - 50

5x = 130

/5    /5

x = 26

Answer:

- 0.6

Step-by-step explanation:

Start point: (5,6)

End point: (-5,12)

rate of change = (12-6) / (-5-5) = 6/-10 = - 3/5 = - 0.6

Answer:

The rate of change is -0.6

Step-by-step explanation:

Given

\((x_1,y_1) = (5,6)\)

\((x_2,y_2) = (-5,12)\)

Required

Determine the rate of change

The rate of change means the slope (m) and it is calculated as thus:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{12-6}{-5-5}\)

\(m = \frac{6}{-10}\)

\(m = -\frac{6}{10}\)

Simplify the fraction

\(m = -\frac{3}{5}\)

\(m=-0.6\)

The rate of change is -0.6

Answer:

4) is the least with 14.111°

1) is next with 17.9°

2) is next with 30.22°

5) is next with 65.84°

3) is the greatest with 86.82°

Step-by-step explanation:

1) csc θ = 3.2547

1/sinθ = 3.2547

sinθ = 1/3.2547

θ = \(sin^{-1}\) 1/3.2547 or 17.9 ° ( I checked using a calculator here)

\(sin^{-1}\)x is also known as arcsin.

Now, i will do the rest the same way.

2) θ = arccos(0.8641) = 30.22°

3) θ = arctan(17.9926) = 86.82°

4) θ = arcsin(0.2438) = 14.111°

5) θ = arctan(1/0.4485) = 65.844°

So, now u can tell the orders.

Pls mark as brainliest. This took a while. Cheers.

Answer:0.25 or 25%  

Step-by-step explanation:

Answer:

16:24:32

Step-by-step explanation:

So you add all the 2+3+4 and you’ll get 9

Now divide 72/9, you’ll get 8

now multiply 8 on all the ratios

2*8=16

3*8=24

4*8=32

now put them together

16:24:32

Answer:16:24:32

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

120 x 1.20 = 144

.20 is 20% and adding the 1 adds it to the original value

Answer:

\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)

\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

Point D is the midpoint of both diagonals.

Endpoint of EG is point G with coordinates (x, y):

Endpont of FH is point H with coordinates (x, y):