The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?

1/25
4,225
25

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

The solution to the given inequality expression is expressed as x ≥ 6

Given the inequality expression shown below;

5x-9/7≥3

Cross multiply

(5x -9)≥7(3)

Expand

5x-9≥21

Add 9 to both sides

5x ≥ 21 + 9

5x ≥ 30

x ≥6

The solution to the given inequality expression is expressed as x ≥ 6

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Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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The answer is C,

Where ever two lines intersect or cross is a point where both lines have the same/a common solution!

Answer: mostly c

Step-by-step explanation: Based on the graph which statement is correct about the solution to the system of equations for lines A and B?

Answer:

Find every possible factors of 32, and pair them

Step-by-step explanation:

if the same value for width/length cant be repeated, 3 total possible values is possible

1 × 32 = 32

2 × 16 = 32

4 × 8 = 32

if the value of width/length can be repeated, 6 total different values.

1 × 32 = 32

2 × 16 = 32

4 × 8 = 32

32 × 1 = 32

16 × 2= 32

8 × 4= 32

you can easily find all factors using online factor calculator

Answer:

67. A

68. D

Step-by-step explanation:

I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!

128 Bales of hay

Step-by-step explanation:

Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128

X 2

___

128

Answer:

Bob drove 59miles

Sue drove 17 miles

Step-by-step explanation:

Let, Sue drove x miles

so, Bob miles 2x+25miles

The total distance  was 76 miles.

So, x+2x+25=76

3x=76-25=51

x=51/3=17 miles(Sue drove)

2x+25=2×17+25=59 miles (Bob drove)

Hope, this helps you.

we have that

The swimmer that dives down the farthest is option C because is the greater distance in absolute value from the level zero

swimmer D elevation -21 ft

The frequency of the function f(x) is 1/π.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We need to find the frequency of given function;

f(x)=1/4 cos(2x)+5

To finding the period and then use the general relation frequency

frequency = 1/period

In the given function f(x)=1/4 cos(2x)+5 here, only the constant 2 which will multiply with x effects the period.

As we know that 2π is the period of cosx then the period of cos(2x) is

2x=2π

x=π

So, the period of cos(2x) is π

Now the frequency is F=1/π

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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The sample space is (R, G, P, Y).(OB)

What is sample space?

A sample space is a collection  of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”.  A sample space may contain a  finite number of outcomes which depends on the experiment.

You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1

yellow (Y).

So here is 4 sections

Red(R), Green (G), Purple (P), Yellow(Y)

So there are 4 sections in sample space

The sample space for one spin of the spinner is  (R, G, P, Y).

Hence, the sample space is (R, G, P, Y).

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The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Solution:

Given:

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

Hence, applying the distributive property to the equation;

Therefore, the correct answer is;

Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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ANSWER

EXPLANATION

We want to find the solution set to the equation given:

According to the laws of logarithm, we have that:

Therefore, we can rewrite the equation as follows:

Since the logarithms on both sides have the same base, it implies that:

Simplify and solve for x:

Hence, the correct answer is option C.

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:  89 yards

Step-by-step explanation: The perimeter is all the sides added up together. Since the width of the field is 52, the two sides are 52 yards which in total is 104 yards. 282- 104 = 178 yards. The length is 178/2 yards which is 89 yards.

Answer:

75

Step-by-step explanation:

math

Answer:

11/200

Step-by-step explanation:

This is the correct answer boo

Answer: 400

Step-by-step explanation:

Answer:

angle DGE= 24 Degree

arc GF= 146degree

Step-by-step explanation:

angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree

arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so

angle DGE =24 degree &

ARC GF=146 degree

Answer:

Lol, okay Bob will get $42,069 if he posts all his memes! Man, where can I get a job like that?!

14,023 x 3 = 42,069

Answer:

42,069

Step-by-step explanation:

nice

Answer:

Step-by-step Solution:

Simply change the denominators such that both denominators are the same. Then, add the fractions to get your result.

Hence, the solution is 2/3.

Answer:

\(\frac{4}{6}\)

Step-by-step explanation:

\(\frac{1}{2} +\frac{1}{6}\)

\(\frac{3}{6}+\frac{1}{6}\)

\(\frac{4}{6}\) ...........the denominator must be always kept 6 as briefed in the question.

\(\frac{2}{3}\)

From the data given, we can see that as you move upward in the atmosphere from sea level, the temperature generally decreases such as from 28 degree to negative degree.

This is because earth atmosphere is heated from bottom-up by the Earth's surface, so, the nearest air to the ground is warmer than the air at higher altitudes. When we climb higher, the air pressure decreases and this causes the air to expand and cool.

This decrease in temperature with increasing altitude is known as the adiabatic lapse rate, but this is known to vary depending on factors such as humidity and atmospheric conditions.

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Answer:

5.09

Step-by-step explanation: