If m∠LMN=43°
and ∠LMN≅∠OMP,
what is m∠NMP?

18 because 9x2=18

Hope this helped

Answer:

ur answer is 18

9 napkins every 8 items

8x2=16 then since u have 16 and u get 9 napkins every 8 items u get 18 bc

9×2=18

If we multiply the second expression by using the distributive property and it matches the first expression, then Isaac is correct.

The distributive property is:

Let's use this property to multiply out the 2nd expression:

This expression is exactly the same as the original expression. Thus, Isaac is correct.

Answer:

Isaac's statement is correct

We are shown three pictures and asked to identify which one of them is not like others.

Let us find the ratio of width and length of each inscribed cricle.

Picture L:

Width = 3 units

Length = 4 units

Ratio = 3/4 = 0.75

Picture M:

Width = 4 units

Length = 8 units

Ratio = 4/8 = 0.50

Picture N:

Width = 9 units

Length = 12 units

Ratio = 9/12 = 0.75

As you can see, picture L and N has the same ratio of width and length that is 0.75 but the picture M has a different ratio of width and length that is 0.50

Therefore, we can conclude that picture M is not like others.

Solution

Answer: w < 24

Step-by-step explanation:
You first take the - 3 on the left side and transfer over to the other side adding 3 more to the 3

Then you want to get rid of 1/4 by multiplying both sides by 4 multiplying 6 x 4 giving...

w < 24

The interest rate is approximately 5.23%.

Interest is the amount paid over and above the principal amount to a lender or depositor by a borrower or financial institution at a predetermined rate in the domains of finance and economics (the amount borrowed).

We know that the amount from an loan is calculated by the formula

[tex]A=P[\frac{(1+i)^n-1}{i}][/tex]

Now we will substitute that values to calculate the value of i.

putting the values we get that the value of i is 0.05229...

Therefore the rate of interest is approximately 5.23%.

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The answer is option(1) i.e, f(n) = 3n-1, This question is of Arithmetic Sequence

Arithmetic Sequence the difference between one term and the next is a constant. Formula is,

aₙ = a + (n-1)d

aₙ = the nᵗʰ term in the sequence

a = the first term in the sequence

d = the common difference between terms

According to question the sequence is,

2 inches, 5 inches, 8 inches .....

where, a = 2

            d = 5 - 2 = 3

Now, put these value in formula i.e, aₙ = a + (n-1)d

aₙ = 2 + (n - 1) * 3

    = 2 + 3n - 3

     = 3n - 1

Therefore, the answer is option(1) i.e, f(n) = 3n-1.

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The average rate at which the water level changed every week is 5/6 inches.

It should be noted that a fraction is represented as a/b. In this case, a implies the numerator and b is the denominator.

In this case, the water level of a lake rose by 1 1/4 in. during a 1 1/2-week-long wet spell

The average rate at which the water level changed will be:

= The fraction at which it rose / Number of weeks

= 1 1/4 ÷ 1 1/2

= 5/4 ÷ 3/2

= 5/4 × 2/3

= 10/12

= 5/6

It rose at 5/6 inches every week.

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Answer: d a c b

Step-by-step explanation:

The function after the transformation of f(x) is g(x) = (x - 2)^2

The equation of the graph is given as

f(x) = x^2

The above equation a parent equation of a quadratic equation

Using the graph as a guide, we can see that

The function f(x) is translated to the right by 2 units to get g(x)

This means that

g(x) = f(x - 2)

So, we have

g(x) = (x - 2)^2

Hence, the equation of g(x) is g(x) = (x - 2)^2

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Answer:

His salary will be $282

Step-by-step explanation:

There is not written the salary of his current job, so i can't answer all questions.

anywwy for the first one you just have to do:

[tex]250 + 128 \times 0.25[/tex]

and the results is $282

The total chnage in the stock market from the day beginning of the day to the end of the day is -89 3/4 points.

A stock market simply means the market where shares and stocks are sold.

In the information illustrated, at beginning of the day the stock market goes up 30 1/2 points and at the end of the day the stock market goes down 120 1/4 points.

The change will be the the operation of the numbers through the use of addition when it goes up and subtraction when it comes down. This will be:

= 30 1/2 - 120 1/4

= -89 3/4

The change is -89 3/4 points.

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x=y because they are opposite corners at the top

The surface area is increasing at the rate of (60 x + 150) cm² per second.

Let the side of the cube be x cm.

s = x cm

Surface area of the cube will be:

S = 6 x² cm²

Now, we are given that, the side of the cube is expanding 5 cm per second.

So, the side of the cube after 1 second will be:

s' = x + 5 cm

Surface area will be:

S' = 6 (x + 5)² cm²

S' = (6x² + 150 + 60 x) cm²

Change in the surface area is:

ΔS = (6x² + 150 + 60 x) cm² - 6 x² cm²

ΔS = (60 x + 150) cm²

Therefore, the surface area is increasing at the rate of (60 x + 150) cm² per second.

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1. The number of hours of science homework that Kalani have on Thursday is 1 1/2 hours.

2. The hours of science homework that she have for the whole school week is 4 1/2 hours.

From the information, Kalani started off with 3/4 hour on Monday and every day after that, she had 1/4 hour more than the day before.

1. This will be illustrated as:

Monday = 3/4 hour

Tuesday = 3/4 + 1/4 = 1 hour

Wednesday = 1 hour + 1/4 hour = 1 1/4 hour

Thursday = 1 1/4 + 1/4 = 1 1/2 hours.

2 The total hours will be the addition of all the values for the days of the week.

= 3/4 + 1 + 1 1/4 + 1 1/2

= 4 1/2 hours.

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Check the picture below.

Answer:

123

Step-by-step explanation:

did it in my head

Answer:

-9/7

Step-by-step explanation:

∆ y = 7-(-2) = 9

∆ x = 1-8 = -7

m = ∆y/∆x = -9/7

The power of a quotient states that if you power a quotient, the result is equal as if you had powered the numerator and denominator by the same index separatelly before makinf the division

Answer:  45

Step-by-step explanation:

The scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5

If MJ is considered as the original figure, it is 25 ft. long.

The image of MJ, M'J' is 5 feet long

Scale factor is generally understood as the number of times the dimensions of the image is enlarged or diminished

Scale factor = Dimension of the new image ÷ Dimension of the original shape

Scale factor = M'J' length/ MJ length

k = 5/25

k = 1/5

The value of scale factor = 1/5, which means the new image is diminished.

Therefore the scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5.

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The polar bear has a birth weight of 0.5 kilogram.

The linear equation is y = x + 0.4t

Given,

The weight gained by polar bear each week after it was born = 0.4 kg

The weight of polar bear after 3 weeks = 1.7 kilo grams

We have to write an linear equation to represent this ;

Here,

y be the weight of polar bear

x be the initial weight

t be the number of week.

So,

the equation be like;

y = x + 0.4t

Then,

1.7 = x + 0.4 x 3

x = 1.7 - 1.2 = 0.5

The polar bear has a birth weight of 0.5 kilogram.

The linear equation is y = x + 0.4t

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The moon is 252,088 miles from Earth at its farthest point. The Jilene travel distance rounding the corner is 250000 miles.

Given that,

The moon is 252,088 miles from Earth at its farthest point.

According to Jillene, the moon is located roughly 250,000 miles from Earth.

We have to find where did Jillene travel distance rounding the corner.

From the given,

We have distance as 252088 miles.

We can say the approximation of the given miles.

Which we can approximately write as

250000 miles

Therefore, the Jilene travel distance rounding the corner is 250000 miles.

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The most appropriate choice for fraction will be given by -

8 children are allowed to use social media.

What is fraction?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

Here,

Total number of children in class of Ms Bryant = 32

Fraction of students who use social media = [tex]\frac{1}{4}[/tex]

Number of children who use social media = [tex]\frac{1}{4} \times 32[/tex]

                                                                       = 8

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Answer: (x,y) = (175/29, 22/29)

Step-by-step explanation:

solve the equation

y = 8 - 6/5x

3y - 8x = -46

substitute the value of y

3(8 - 6/5x) - 8x = -46

solve the equation

x = 175 / 29

substitute the value of x

y = 8 - 6/5(175/29)

solve the equation

y = 22/29

answer: (x,y) = (175/29, 22/29)

Answer:

11.68 m^2

Step-by-step explanation:

area of triangle = 1/2(b)(h)

b = 7.3, h = 3.2

1/2(7.3)(3.2) = 11.68

Answer:

11.68m

firstly remember area of triangle is half multiplied by base multiplied by height

The Pearson's test of goodness fit can be used to check the significance of 0.01 but there would not be any type 1 error.

A statistical test that measures how well sample data matches a distribution from a population with a normal distribution is referred to as goodness-of-fit. Simply put, it hypothesizes if a sample is skewed or represents the data found in the actual population.

The goodness-of-fit test determines the difference between the actual and predicted values of the model in the case of a normal distribution. The chi-square is one of the approaches for determining goodness-of-fit.

Goodness-of-fit testing is a statistical technique used to draw inferences about observed values.

For example, check to see if a sampling group truly represents the entire population. That is, they establish the relationship between measured and predicted values in a model. When used in a decision-making process, goodness-of-fit tests allow you to foresee future trends and patterns.

Hence we can conclude that there would not be any error to the problem with a significance of 0.01 .

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The translated function is:

G(x) = f(x) - 1

b) The maximum of y = 2*f(x) is the point (0, 8).

We know that G(x) is a translation of f(x), and the graph of G(x) is the pink one.

We can see that it is 1 unit below f(x), then we have a translation of one unit downwards, so we can write:

G(x) = f(x) - 1

This is the rule for G(x).

b) If the maximum of f(x) is (0, 4), then:

f(0) = 4

The maximum of 2*f(x) is also at x = 0, we will get:

2*f(0) = 2*4 = 8

So the maximum here is (0, 8).

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