determine whether each number is a solution of the given inequality 2m - 4 > 10

Answer: 3

Step-by-step explanation:

y intercept just means plug in x = 0 to the equation and solve for y.

so

y = -4*0^2-0+3

y = 3

Answer:

Ali= x + 5

Aunt= 4x

When examining the problem and purpose portions of a research study, the important question to ask is (option d) Is the objective of the study clearly stated?

Given,

What should I look for while  reviewing the problem and purpose sections of a research article?

To do this, we suggest reading the content numerous times before criticizing it, making notes, and adding annotations. Be sure to take notes while you read on crucial elements such as the thesis, purpose, research questions, hypotheses, methods, evidence, significant findings, tone, and publishing information.

Here,

The pertinent question when reviewing the problem and purpose sections of a research article is (option d) Is the objective of the study clearly stated?

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Answer:

r = ± \(\sqrt{q^2-p^4\)

Step-by-step explanation:

p² = \(\sqrt{q^2-r^2}\) ( square both sides )

(p² )² = q² - r²

\(p^{4}\) = q² - r² ( subtract q² from both sides )

\(p^{4}\) - q² = - r² ( multiply through by - 1 )

q² - \(p^{4}\) = r² ( take square root of both sides )

± \(\sqrt{q^2-p^4}\) = r

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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The amount of money in her account after five years will be $1,292.74.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

A long time back Patricia put 1200 in a saving record with a 1.5% financing cost. Then the amount of money in her account after five years will be given as,

A = $1,200 × (1 + 0.015)⁵

Simplify the expression, then we have

A = $1,200 × (1.015)⁵

A = $1,200 × 1.07728

A = $1,292.74

The amount of money in her account after five years will be $1,292.74.

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I'm so sorry that I can't give you the answer because I'm not in your grade! But if u need me for other stuff.. I'm here! so ya!

Step-by-step explanation:

\(ei = \sqrt{ {45}^{2} - {27}^{2} } = \\ = \sqrt{2025 - 729} = \\ = \sqrt{1296} = \\ = 36\)

Answer:

The answer is C

Step-by-step explanation:

I may be wrong but you need to line the decimal

Answer:

27

Step-by-step explanation:

To evaluate an expression we need to find the numerical value of the expression by substituting appropriate values for the variables and performing the indicated mathematical operations.

Given rational expression:

\(\dfrac{6x^2}{y^3}\)

To evaluate the given expression when x = 6 and y = 2, substitute x = 6 and y = 2 into the expression and solve.

\(\dfrac{6(6)^2}{(2)^3}\)

Following the order of operations, begin by evaluating the exponents first.

To square a number, we multiply it by itself.

\(\implies 6^2 = 6 \times 6 = 36\)

To cube a number, we multiply it by itself twice.

\(\implies 2^3 = 2 \times 2 \times 2 = 8\)

Therefore:

\(\dfrac{6(6)^2}{(2)^3}=\dfrac{6 \cdot 36}{8}\)

Multiply the numbers in the numerator:

\(\dfrac{216}{8}\)

Finally, divide 218 by 8:

\(\dfrac{216}{8}=27\)

Therefore, the evaluation of the given expression when x = 6 and y = 2 is 27.

\(\hrulefill\)

As one calculation:

\(\begin{aligned}x=6, y=2 \implies \dfrac{6x^2}{y^3}&=\dfrac{6(6)^2}{(2)^3}\\\\&=\dfrac{6 \cdot 36}{8}\\\\&=\dfrac{216}{8}\\\\&=27\end{aligned}\)

The fraction of the cookies do they still need to made after Cameron and Lindsey made 80 cookies is 1/2.

Fractions are referred to as the components of a whole in mathematics. A single thing or a collection of objects might be the entire. When we cut a slice of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Roman. "Fractus" means "broken" in Latin.

The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form. A piece or sector of any quantity is another name for the fraction.

Total cookies to be made is 160

Out of which Cameron made 2/5 of the cookies so,

2/5 x 160 = 64 cookies are made by Cameron

Lindsey made 16 cookies

So total cookies that still need to be made is,

= 160 - (64 + 16) = 80

The fraction of cookies still need to made is 80/160 = 1/2 .

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Answer:

pls upload photo for your question

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

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The area left for children for playing 114464 sq. m

As per the given data inside a park:

The length of the park is 400 m

The breadth of the park is 300 m

The formula for the area of the park = Length × Breadth

= (400 × 300) sq. m

= 120000 sq. m

The width of the walking track inside the park is 4 m

The length of the park without the walking track

= 400 − (4 + 4) m

= 400 − 8 m

= 392 m

The breadth of the park without the walking track

= 300 − (4 + 2) m

= 300 − 8 m

=292 m

Area of the park without the walking track:

= 392 × 292

= 114464 sq. m

Therefore the area left for children for playing other than the walking track is 114464 sq. m.

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Answer:  y = -320

Steps:  ³⁄₂y + 12 = ⁷⁄₅y - 20

Subtract 12 from both sides:  ³⁄₂y + 12 - 12 = ⁷⁄₅y - 20 - 12

Simplify: ³⁄₂y = ⁷⁄₅y -32

Subtract ⁷⁄₅y from both sides: ³⁄₂y -  ⁷⁄₅y = ⁷⁄₅y -32 -  ⁷⁄₅y

Simplify: ⅒y = -32

Multiply both sides by ten: 10  ·  ⅒y = 10  · -32

Simplify: y = -320

Plz mark brainliest:)

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

\(A=\frac{1}{2} Pa\) where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

\(P=5l\) where l is the side length

Plug in the side length 7.6 cm

\(P=5(7.6)\\P=38\)

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

\(A=\frac{1}{2} Pa\)

Plug in the perimeter (38) and the apothem (5.2)

\(A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8\)

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

Answer:

A.

Step-by-step explanation:

You can figure this out with very simple math. If you are just looking at it, you will see that it goes from 2 to 8. So 2 to 8 is 6 and the answer closest to 6 is A.

The three pairs are (AB = 6, BC = 6) (AB = 4, AC = 4√2) and (BC = 2√2, AC = 4). So, First option, Option 5. and Option 6 are correct answers.

Since we know that,

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The formula for a 30-60-90 triangle is this:

1) Side opposite to 30 will be value a.

2) Side opposite to 60 will be value a√3

3) Hypotenuse will be 2a.

AB is opposite of the angle with 30 degree measurement.

BC is opposite of the angle with 60 degree measurement.

The sides of an isosceles right triangle are in the ratio,

1:1:√2

where √2 is the hypotenuse.

For the example, BC = 2√2, then AC = 2√2  x √2 = 4.

Therefore, the three pairs are;

1. (AB = 6, BC = 6)

5. (AB = 4, AC = 4√2)

6.(BC = 2√2, AC = 4).

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The complete question is attached below:

Answer:

Hi how are you doing today Jasmine

Step-by-step explanation:

\( \tt{53 \degree + ( 5 + 4x) \degree = 90 \degree} \: \) ( Sum of complementary angles )

⟶ \( \tt{53 \degree + 5 + 4x \degree = 90 \degree}\)

⟶ \( \tt{58 \degree + 4x \degree = 90 \degree}\)

⟶ \( \tt{4x \degree = 90 \degree - 58 \degree}\)

⟶ \( \tt{ 4x \degree = 32 \degree}\)

⟶ \( \tt{x = \frac{32 \degree}{4 \degree}} \)

⟶ \( \tt{x = 8 \degree}\)

\( \pink{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{x = 8 \degree}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

-7

Step-by-step explanation:

In order for the exponential function and the tangent line to be equivalent at a certain point, their function values and their first derivatives must be equal at that point.

At a given point, if the function values of an exponential function and its tangent line are equal, it means that they have the same value and slope at that point.

This requires that their first derivatives at that point are equal. The first derivative of an exponential function is also an exponential function, so the derivative of the tangent line must also be an exponential function with the same slope as the original function.

Therefore, the two functions must have the same first derivative at that point. This condition is necessary for the two functions to be equivalent at that point.

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Answer:

CD=10.15m

Step-by-step explanation:

Find the distance of BC.

Tan(40)=55/BC

BC=65.55m

Find the distance of BD.

Tan(36)=55/BD

BD=75.70m

Use BC and BD to find CD

BD-BC=CD

75.70-65.55=CD

CD=10.15m

Answer:

C

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

girls:boys=2:3

2units=24

1unit=24÷2=12

boys have 3 units

3units=12 x 3 =36

There are 36 boys

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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The required positive numbers are 14.43, 14.43.

According to the statement

we have given that The product of two positive numbers is 208 and the sum is a minimum.

And we have to find these numbers.

So, For this purpose,

Let two positive numbers xy = 208

According to question xy = 208

And then

y = 208/x

and

sum of two positive numbers z=x+y

s= x+ 208/x

then

differentiate with respect to x

ds /dx = d/ dx(x+ 208/x)  -(1)

ds /dx = 1 - 208/ x^2

here ds /dx = 0. so,

1 - 208/ x^2 = 0

x^2 - 208= 0

x = 14.43.

And

differentiate the equation (1) again

d^2s /dx^2 = 0 + 416/x^2)  

then

∴ at point x= 14.43,

d^2s /dx^2 = 416/208.22

d^2s /dx^2 = 1.99

which is greater than zero.

∴ value of s minimum at point x = 14.43

so, y = 208/x

y = 208 /14.43

y = 14.43.

So, The required positive numbers are 14.43, 14.43.

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​

The months when both of these plans would pay off the same amout of money for the new phone is 8 months.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario

Let the number of months be x

You can pay a one-time charge of 200$ and then an additional $15 per month. This will be 200 + 15x. The second option is not paying any money at this time and having a monthly bill of 40$ a month. This will be 40x.

The equation will be

200 + 15x = 40x

Collect like terms

40x - 15x = 200

25x = 200

Divide

x = 200/25

x = 8

The number of months is 8.

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The probability that she wins the next two matches is 36% or 0.36

How to calculate the probability of two matches?

Given,

She believes that the outcome of each match is independent. So, the outcome of next match does not depend on the previous match, is called independent event.

The probability of winning one match is 0.6

Since the outcome of each match is independent, we easily get the probability of she winning the next two matches by multiplying the probability of she winning per match. So,

Probability she wins the next two matches = 0.6 x 0.6

= 0.36 or 36%

Thus, the probability that she wins the next two matches is 36% or 0.36

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