Spiral Review (1.0A.C.6) 2. Show how to make a ten to solve 13 - 7. Write the number sentence. Step I 11 19 - ooo = So, 13 - 7 = Step 2​

Answer:

   a. 6,8

Step-by-step explanation:

The only offered answer choice that lists consecutive even integers is ...

   a. 6,8

_____

Consecutive even integers differ by 2, not 4.

__

Check

The product is 6×8 = 48.

Three times the sum is 3(6+8) = 3(14) = 42.

The product is 6 more than 3 times the sum. 42+6 = 48

Polynomial: 6x^3 + 12x^2 - 18x

Form 1: 6(x^3 + 2x^2 - 3x)

Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.

Form 2: 6x(x^2 + 2x - 3)

Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.

In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.

To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:

Polynomial: 6x^3 + 12x^2 - 18x

To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.

Form 1: 6(x^3 + 2x^2 - 3x)

In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.

Form 2: 6x(x^2 + 2x - 3)

In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.

We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.

In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.

In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.

By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.

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When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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We need to find the expression that is equivalent to:

Let's analyze our options:

Option a:

in this option, we have that 3 is an exponent, which is different from what we are looking for because, in 3y, the 3 is the coefficient of the expression, not the exponent. Thus, option a is discarded.

Option b:

In this case, the 3 and the "y" are separate terms, and since 3 is a number and "y" is a variable, we cannot add them because they are not like terms. So 3+y is not equal to 3y.

Option c:

In this option, all of the terms are variables (all of the terms are "y") which means in this case, unlike the last case, we can add the terms:

Thus, this is the correct option because y+y+y is equal to 3y.

Answer:

c. y+y+y

The surface area of the prism include the following: C. two hundred seventy-five and one-eighth cm².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[(23/4 × 4) + (23/4 × 47/4) + (4× 47/4)]

Surface area of rectangular prism = 2[23 + 1081/16 + 47]

Surface area of rectangular prism = 275 1/8 cm².

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To answer this question we are going to use the rule of three. We know that 60 ounces represents the 100% of the compound and we want to know what percent of the compound is made of copper which is 16 ounces in total, then the rule of three is:

Hence:

Therefore the copper represents 26.67% of the compound.

Answer:

1.630

Step-by-step explanation:

Answer:

231+X = 231+X

Step-by-step explanation:

Hope it helps!!!!!!!!

The length in Centimeters Andy bicycle rode on Monday is 450616.32cm

The length in Centimeters Andy bicycle rode on Tuesday is 209214.72cm

To convert a mile measurement to a centimeter measurement, multiply the length by the conversion ratio.

one mile is equal to 160,934.4 centimeters,

centimeters = miles × 160,934.4

The length in centimeters is equal to the miles multiplied by 160,934.4

On Monday Andy bicycle rode

2\(\frac{4}{5}\) miles X 160,934.4

Therefore; Andy bicycle rode 450616.32cm on Monday

On Tuesday Andy bicycle rode

centimeters = miles × 160,934.4

The length in centimeters is equal to the miles multiplied by 160,934.4

1 \(\frac{3}{10}\) miles x 160,934.4 = 209214.72cm

Therefore; Andy bicycle rode 209214.72cm on Tuesday

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Answer:

x=13

Step-by-step explanation:

hehe calculator boy

Answer:

-2x²

Step-by-step explanation:

To beat the school long jump record, John must jump an additional 5 1/4 inches

From the given question, we are to determine how farther John must jump in order to break the record

From the given information,

"A high school track team's long jump record is 23 ft 1 3/4 in"

and

"John's best long jump is 22 ft 8 1/2 in"

First, we will convert the distances to inches

NOTE: 1 ft = 12 inches

23 ft 1 3/4 in = 276 + 1 3/4 in = 277 3/4 in

22 ft 8 1/2 in = 264 + 8 1/2 in = 272 1/2 in

Now, to determine how farther John must jump, we will subtract the distances

277 3/4 in - 272 1/2 in = 5 1/4 in

Hence, he must jump 5 1/4 in farther

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Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

See explanations below

Step-by-step explanation:

What the step for answer

Given the nth terms of as sequence expressed as

Sins a ≥ 3, we can find the third term of the sequence

an  = 2an-1 + an-2 - 2an-3

If a1 = 6 and a2 = 0 and a0 = 3

a3 = 2a2 + a1 - 2a0

a3 = 2(0) + 6 - 2(3)

a3 = 0 + 6 - 6

a3  = 0

If n = 4

a4 = 2a3 + a2 - 2a1

a4 = 2(0) + 0 - 2(6)

a4 = 0 + 0 - 12

a4  = -12

The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

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The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

From the question, we have the following function that can be used in our computation:

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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Answer:

6.2

Step-by-step explanation:

After you plug in \(\sqrt{38}\) into the calendar, you get 6.16441. To round to the nearest tenth, you look at the tenth and hundreth place. Since the hundreth place is a 6, which is greater than 5, the 1 in the tenths place becomes a 2, giving you 6.2.

use the process of elimination, once you solve, it will give you one variable that will work for both equations, once you plug that in, it will give you the other variable.

7x + 3y = 13

2x -3y   = -4

add the "y"; 3y + (-3y) = 0

9x = 9

x = 1

plug in the "x" value into either question to solve for "y"

7(1) + 3y = 13

7 + 3y = 13

3y = 6

y = 2

Answer:

Step-by-step explanation:

7x + 3y = 13

2x -3y   = -4

add the "y"; 3y + (-3y) = 0

9x = 9

x = 1

plug in the "x" value into either question to solve for "y"

7(1) + 3y = 13

7 + 3y = 13

3y = 6

y = 2

Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Answer:

Anne Hathaway: 0.154 = 15.4%

Angelina Jolie: 0.048 = 4.8%

Melissa Leo: 0.029 = 2.9%

Meryl Streep: 0.231 = 23.1%

Kate Winslet: 0.714 = 71.4%

Step-by-step explanation:

Odds to probability:

Odds of a:b

The probability is given by:

\(p = \frac{a}{a+b}\)

Anne Hathaway 2:11

So \(p = \frac{2}{2+11} = \frac{2}{13} = 0.154\)

Angelina Jolie 1:20

So \(p = \frac{1}{1+20} = \frac{1}{21} = 0.048\)

Melissa Leo 1:33

So \(p = \frac{1}{1+33} = \frac{1}{34} = 0.029\)

Meryl Streep 3:10

So \(p = \frac{3}{3+10} = \frac{3}{13} = 0.231\)

Kate Winslet 5:2

So \(p = \frac{5}{5+2} = \frac{5}{7} = 0.714\)

Answer:

It would take 74.5 minutes for the element to decay 17 grams.

Step-by-step explanation:

The amount of element X after t minutes is given by the follwoing equation:

\(X(t) = X(0)e^{rt}\)

In which X(0) is the initial amount of the substance and r is the decay rate.

Half life of 14 minutes.

This means that \(X(14) = 0.5X(0)\)

So

\(X(t) = X(0)e^{rt}\)

\(0.5X(0) = X(0)e^{14r}\)

\(e^{14r} = 0.5\)

\(\ln{e^{14r}} = \ln{0.5}\)

\(14r = \ln{0.5}\)

\(r = \frac{\ln{0.5}}{14}\)

\(r = -0.0495\)

So

\(X(t) = X(0)e^{-0.0495t}\)

There are 680 grams of element X

This means that \(X(0) = 680\)

\(X(t) = X(0)e^{-0.0495t}\)

\(X(t) = 680e^{-0.0495t}\)

How long would it take the element to decay 17 grams

This is t for which X(t) = 17. So

\(X(t) = 680e^{-0.0495t}\)

\(17 = 680e^{-0.0495t}\)

\(e^{-0.0495t} = \frac{17}{680}\)

\(e^{-0.0495t} = 0.025\)

\(\ln{e^{-0.0495t}} = \ln{0.025}\)

\(-0.0495t = \ln{0.025}\)

\(0.0495t = -\ln{0.025}\)

\(t = -\frac{\ln{0.025}}{0.0495}\)

\(t = 74.5\)

It would take 74.5 minutes for the element to decay 17 grams.

Answer:

n=-18

Step-by-step explanation:

subtract 8 from both sides.

then you do -10 subtracted by 8 and thats -18.

Answer:

78 eggs

Step-by-step explanation:

13 × 6 = 78 eggs

Hope this helps! :)

Answer:

Yes it would be 6x13=78

Step-by-step explanation:

cross multiplication and divide:

1 cartoon = 6 eggs

13 cartoons = x

Answer:

I want brainliest!!! u promisteed

Step-by-step explanation:

1) 180-114 = 66

angle three = 66

360 = 70 + 70 + angle two + angle two

220 = angle two + angle two

angle two = 110

Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½

1.2 × 10-3 amps is equal to  1.2 miliamps.

When 1 coulomb of charge flows through some point at 1 sec we say 1 ampere of current is flowing.

According to the given question

We have to express 1.2 × 10⁻³ amps to miliamps

1 amps = 1000 miliapms

1 amps = 1 × 10³ miliamps

1/10³ amps = 1miliamps

∴ 1.2 × 10⁻³ amps is

= (1.2 × 10⁻³)/10⁻³ miliamps

= 1.2 miliamps

To convert amps to miliamps we multiply it by 1000 and to convert miliamps to amps we divide by 1000 and 1000 can be written in exponential form as 10³.

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The common ratio for the sequence is 1/2.

Sets of numbers that adhere to a pattern or norm are known as number sequences. A geometric sequence is one where the rule is to multiply or divide by the same number each time.

Formula : \(a_n\) = a\(r^{n-1\)

where a is the first term, r is the common ratio.

Given:

Sequence: 14, 7, 7/2, 7/4

To calculate the common ratio = \(a_1/ a_2\)

Now, the common ratio

= 7/14

= 1/2

Hence, the common ratio is 1/2.

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