How did you know that ordered pair satisfies the linear inequality in two variables?

The country's area will be 128% of the area of Utah.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the area of a certain country is 28% more than the area of Utah. The percentage of the country will be calculated as:-

Area of country = 1.28 x Area of Utah

Area of country 128% x Area if Utah'

Therefore, the area of the country will be 128% of the other country's Utah.

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Answer: The answer is B I believe

Step-by-step explanation:

Answer:

y-intercept : (0,5), D

axis of symmetry : x = 3, E

Step-by-step explanation:

that is really, really simple.

h(-3) means that we put the argument (-3) into the formula of the function everywhere where there is x.

h(x) = -3x - 10

so,

h(-3) = -3×-3 - 10 = 9 - 10 = -1

Answer:

-1

Step-by-step explanation:

h(x) = -3x - 10    

h(-3)            means to replace the x in the problem with the value of -3 and  

                   solve.

h(-3) = -3(-3) - 10

h(-3) =  9 - 10

h(3) = -1

Answer:

1

Step-by-step explanation:

y - 1 = 0

y = 1

Hope it helps you in your learning process.

Answer:

2 and half days

Step-by-step explanation:

if Mark build in 2 days and Jim build in 3 days. Then if they work together,it will be the total of 5 days and then divide it by 2. It will give us 2 and half days.

Mathematically,

Mark-2 days

Jim-3 days

which is 5 days.They are 2 people.The next thing is divide it by 2 which is 2 and half days

Answer:

∠ L = 109°

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent.

Thus ∠ J = ∠ G , substitute values

3x + 12 = 2x + 19 ( subtract 2x from both sides )

x + 12 = 19 ( subtract 12 from both sides )

x = 7

Then

∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°

∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°

By the sum of angles in a triangle = 180°, then

∠ F = 180° - (33 + 38)° = 180° - 71° = 109°

∠ F and ∠ L correspond , thus

∠ L = ∠ F = 109°

Answer:

yayz fwee pwoints thwank ywuo

Step-by-step explanation:

Answer:

1. 10 : 24 = 5 : 12 = 20 : 48 = 40 : 96

2. 2 : 3 : 5 = 4 : 6 : 10 = 8 : 12 : 20

There are 300 ways a person can go from P to Q and return by a different bus.

To find the number of ways a person can go from P to Q and return by a different bus, we can use the combination formula:

nCr = n! / (r! × (n-r)!)

where n is the total number of options, and r is the number of choices we want to make.

In this case, there are 25 buses running between P and Q, so the total number of options for going from P to Q and returning by a different bus is 25 × 24 (since we have 25 choices for the first leg of the journey, and 24 choices for the second leg).

To find the total number of ways to make this choice, we can use the combination formula with n = 25×24 and r = 2

nCr = (25×24)! / (2! × (25×24-2)!)

= (25 × 24)! / (2! × 23!)

= (25×24) / 2

= 300

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Answer:

D

Step-by-step explanation:

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Answer: The baker should buy a minimum of 120 cups of flour and a maximum of 180 cups.

Step-by-step explanation:

The baker should buy between 120 cups of flour to 180 cups of flour to meet her needs.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the number of bread made from x cups of flour.

Each loaf requires 3.5 cups of flour plus an additional 0.25 cup for dusting. Hence:

y = (3.5 + 0.25)x = 3.75x

For 32 loaves:

x = 32 * 3.75 = 120

For 48 loaves:

x = 48 * 3.75 = 180

The baker should buy between 120 cups of flour to 180 cups of flour to meet her needs.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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The statement is True. To construct a confidence interval about the mean, the population from which the sample size is drawn must be approximately normal.

This assumption is necessary to ensure that the sampling distribution of the sample mean is also approximately normal, which is a key assumption underlying many statistical tests and confidence interval constructions.

However, suppose the sample size is large enough (usually at least 30). In that case, the central limit theorem may allow for constructing a confidence interval about the mean even if the population is not normal.

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The marginal utility functions for the given utility function are \(U_{1} = 1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\) and \(U_{2} = Abq_{1} ^{a} q_{2}^{(b-1)}+ 1\). The MRS is equal to the ratio of the marginal utilities, or MRS = U₁/U₂ = \(1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\)/ \((Abq_{1}^aq_{2}^{(b-1)} + 1)\).

a) The marginal utility functions can be obtained by taking the partial derivatives of the utility function with respect to each good. For the given utility function U(q₁, q₂) = \(q_{1} + Aq_{1}^{(a)}q_{2}^{(b)} + q_{2}\) the marginal utility of good 1 (U₁) is equal to\(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)}\), and the marginal utility of good 2 (U₂) is equal to \(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1\).

b) The marginal rate of substitution (MRS) represents the rate at which a consumer is willing to exchange one good for another while maintaining the same level of utility. It is defined as the ratio of the marginal utilities of the two goods. In this case, the MRS can be calculated as MRS = U₁/U₂, which gives \(\frac{(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)})}{(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1)}\).

The explanation above summarizes the process of obtaining the marginal utility functions and the MRS for the given utility function. The utility function is differentiated with respect to each good to find the marginal utilities. The MRS is then calculated as the ratio of the marginal utilities. The specific expressions for the marginal utilities and the MRS are provided based on the given utility function.

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Daniela scored 69.5 points in her mathematics test.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that Daniela took a math test and a biology test yesterday. The sum of her scores was 190. She scored 11 points higher on her biology test than on her math test.

Assume that she scored [x] points in math test. Then, in the biology test her score will be [x + 11] points. So, we can write -

x + x + 11 =190

2x = 179

x = 179/2

x = 69.5 points

Therefore, she scored 69.5 points in her maths test.

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Answer:

-13/20

Step-by-step explanation:

-4/5 x 4/4 = -16/20

3/20 x 1/1 = 3/20

-16/20 + 3/20 = (-16 + 3 = -13)

-13/20

The number of stickers she gave them first each is 4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Mai gave each of them the same number of stickers.

Then she gave them each two more stickers.

Number of volunteers=5

Now,

Let the number of stickers given first be x

5x+5*2=30

5x+10=30

5x=20

x=4

Therefore, by algebra the answer will be 4 stickers.

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When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.

If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.

Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.

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The volume of the trapezoidal prism is V = 120 inches³

Given data ,

Let the volume of the trapezoidal prism is V

Now , height = 3 inches

Length = 10 inches

Length of longer base = 6 inches

Length of shorter base = 2 inches

So , Volume V = ((short base length + long base length) / 2) × height × length

V = 120 inches³

Hence , the volume of prism is V = 120 inches³

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Answer:

C

Step-by-step explanation:

NO CAP

Answer: The answer would be C

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

I'm gonna assume that huge white dot means multiply

55-3×9+12÷3 ur gonna wanna use pemdas here

so multiply first

55-27+12÷3

now divide

55-27+4

now go left to right

28+4

32

Answer:

\(B) ~\dfrac 25\)

Step-by-step explanation:

\(\text{Given that,} ~ (x_1,y_1) = (-2,2)~ \text{and}~ (x_2 ,y_2) = (3,4)\\\\\text{Slope},~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~~=\dfrac{4-2}{3+2}\\\\\\~~~~~~~~~~~~~=\dfrac 25\)

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of the line that contains the points (-2, 2) and (3, 4).

\(\triangle~\fbox{\bf{KEY:}}\)

\(\star~\mathrm{\cfrac{y2-y1}{x2-x1}}\)

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

\(\star~\mathrm{\cfrac{4-2}{3-(-2)}}\)

Simplify!

\(\star~\mathrm{\cfrac{2}{5}}\)

Hope it helps you out! :D

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Answer:

8 and 1

Step-by-step explanation:

8+1=9, also

8-1=7

The differenceeof two numbers is just another name for subtraction.

c - (7 - 6)

We can even simplify this expression further.

c - 1

Answer:

B

Step-by-step explanation:

Edge 2021

543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Answer:

you answer is b

Step-by-step explanation:

ik bc i did it last year

.._+_+