Which of the following fractions is in lowest form

Answer:

7/25

Step-by-step explanation:

Of means multiply in math (most of the time).

So multiply.

2/5 x 7/10 = 14/50 divided by 2/2 = 7/25

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer: f(3) = 145 ==> 1st option

Step-by-step explanation:

f(p) = 7p³ - 5p² + 1/3p

f(p) = 7p³ - 5p² + p/3

f(3) = 7(3)³ - 5(3)² + (3)/3

f(3) = 7(27) - 5(9) + 1

f(3) = 189 - 45 + 1

f(3) = 144 + 1

f(3) = 145 ==> 1st option

Answer:

×=6/2=3

Step-by-step explanation:

The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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The pieces of rope measuring a yard can he divide his rope into1/4 would be 96.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Chad has a rope that is 24 yards long. He wants to divide the rope so each piece will be 1/4 yards

= 24÷1/4

= 24× 4

= 96

Hence he can divide the rope into 96 pieces.

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Answer:

196

Step-by-step explanation:

56*3.5=196

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25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

The answer is, 21%

Step-by-step explanation:

by adding all the responses, you get a total of 200. Then, you do 42/200 and then simplify, and 21/100 is 21%

Answer:

area = (0.5*6*8)+(0.5*3.14*4*4) = 49.12 ft2

Answer: 49.12

Step-by-step explanation:

Answer:

14,15,16

Step-by-step explanation:

Call n the first integer so you get:

n+(n+1)+(n+2)=45

3n+3=45

3n=42

n=14

The integers are:

14,15,16

Answer:

14,15,16

Step-by-step explanation:

Let the integers be x, (x+1),(x+2)

So,

x+(x+1)+(x+2)=45

x+x+1+x+2=45

3x+3=45

3x=45-3

x= 42/3

x=14

Now put the value.

Now, Add these integers

you'll get

14+15+16=45

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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1) The scatter plot at the right most likely represents the number of siblings a person has and the person’s GPA.

2) The most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up is; 17 gallons

1) Scatter plots are defined as the graphs that present the particular relationship between two variables in a data-set.

A scatter plot is also defined as a chart type that is usually used to observe and visually display the relationship between variables.

From the given scatter plot, we can say that the scatter plot at the right would most likely be used to represent the number of siblings a person has and the person’s GPA.

2) From the given scatter plot, we can see that the x-axis shows the number of days left since filling up while the y-axis represents the gallons of gas.

Now, we want to find out the most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up. We will trace 3 on the x-axis and the corresponding value on the y-axis would be approximately 17 gallons.

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By answering the presented question, we may conclude that Since n expression must be a whole number, the closest integer to 3.32193 is 3. Therefore, there are 3 terms in the series.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

We can use the formula for the sum of a finite geometric series to solve this problem:

\(S_n = a1(1 - r^n)/(1 - r)\\S_n = 8,190, r = 1/2, and a1 = 4,096. \\8,190 = 4,096(1 - (1/2)^n)/(1 - 1/2)\\16,380 = 4,096(1 - (1/2)^n)\\4 = 1 - (1/2)^n\\5/4 = (1/2)^n\\n = log(5/4) / log(1/2)\\n= 3.32193\\\)

Since n must be a whole number, the closest integer to 3.32193 is 3. Therefore, there are 3 terms in the series.

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Answer:

C. EFG

Step-by-step explanation:

ABC ≅ EFG

AB has the same value as EF

BC has the same value as FG

CA has the same value as GE

And one thing, even if 2 triangles are proportional like ABC and RST, if they're not congruent like ABC and EFG, then that's not the answer.

∆ABC ≅ ∆EFG (Option C) because it is congruent to ∆ABC based on the given information and the criteria for congruence between right triangles.

For the given options, triangle EFG is same as triangle ABC  and is therefore congruent to triangle ABC.

To show that two triangles are congruent, we need to establish that all corresponding sides and angles are equal. We can see that all the given options is a right triangle so, we can further investigate to verify the congruence.

Now, to find the triangle congruent to ∆ABC, we need to check the options where corresponding sides and angles are equal. For congruence between two right triangles, it is sufficient to prove that:

1. Both triangles have a right angle (which we already assumed).

2. The lengths of the two legs of the right triangles are equal.

3. The lengths of the hypotenuses of the right triangles are equal.

If all three conditions are met, the right triangles will be congruent by the Side-Angle-Side (SAS) congruence rule.

It is observed that all these conditions are satisfied by ∆EFG, making the two triangles identical in shape and size. Hence, ∆ABC ≅ ∆EFG (Option C).

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Answer:

V = 1/3 * π * r^2 * h OR V = π * r^2 * h/3

Step-by-step explanation:

hope it will help you dear

you told only formula if you need derevation then say :)

Answer:

D

Step-by-step explanation:

the other 3 options are all true.

the sum of all angles in a triangle is always 180°.

so, when T is 40°, that leaves 180-40 = 140° to the other 2 angles. in an isoceles triangle they must be equal to each other, so they are half of the remaining 140°, which is 70°.

and of course the 2 sides are equal (hence "isoceles").

Answer:

3.2 kilograms

Step-by-step explanation:

1 kilograms= 1000g

so 200g =0.2kg

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

3 cuh

Step-by-step explanation:

15/3 = 5 9/3= 3

Answer:

-11

Step-by-step explanation:

Notice how

\(f(x)=x^{2} +8x+1\)

So when we have

\(f(-6)=(-6)^{2} +8(-6)+1= 36-48+1=-11\)

The answer is:

f(-6) = -11

Step-by-step explanation:

Plug in -6 for x:

\(\sf{f(x)=x^2+8x+1}\)

\(\sf{f(-6)=(-6)^2+8(-6)+1}\)

Simplify this:

\(\sf{f(-6)=36-48+1}\)

\(\sf{f(-6)=-12+1}\)

\(\sf{f(-6)=-11}\)

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

75 + 13w = 452

Step-by-step explanation:

because u need to find 452 and you have 75 extra and getting 13 weekly

Answer:

The hourly growth rate parameter is of 4.74%

Step-by-step explanation:

Continuous growth model:

The continuous growth model for a population after t hours is given by:

\(P(t) = P(0)(1+r)^t\)

In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.

A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.

This means that \(P(0) = 1500, P(t) = 1805, t = 4\)

Find the hourly growth rate parameter.

\(P(t) = P(0)(1+r)^t\)

\(1805 = 1500(1+r)^4\)

\((1+r)^4 = \frac{1805}{1500}\)

\(\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}\)

\(1 + r = (\frac{1805}{1500})^{\frac{1}{4}}\)

\(1 + r = 1.0474\)

\(r = 0.0474\)

0.0474*100% = 4.74%

The hourly growth rate parameter is of 4.74%