5. Jalen wrote the number 23. His rule is add 6, which of the following numbers would be in Jalen's pattern? Mark all that apply

Answer:

Step-by-step explanation:

If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.  

7x12=84  

1/2x12=6

6+84=90

Step-by-step explanation:

Thr triangles are similar if any two sides are proportional.

In this, we cannot see any proportional sides, like

DU should be proportional to UT, it is not.

SU should be equal to UE ,it is not.

So, The triangles are not similar.

Hope it helps :)

Answer:

y = 78

Step-by-step explanation:

x - 5 = 72

x = 77

77 - 5 = y -6

I hope this helps!!

The function f(x) = x²(3x − 1) − (3x − 1) can also be written equivalently as  

(3x - 1)(x + 1)(x - 1).

Given is the expression -

f(x) = x²(3x−1)−(3x−1)

We have -

x²(3x−1)−(3x−1)

Expanding the expression, we get -

(3x³ - x²) - (3x - 1)

3x³ - x² - 3x + 1

3x³ - x - x² - 2x + 1

3x³ - x² - 3x + 1

x²(3x−1)−(3x−1)

(3x - 1)(x² - 1)

(3x - 1)(x + 1)(x - 1)

Therefore, the equivalent expression of the expression

f(x) = x²(3x−1)−(3x−1) is (3x - 1)(x + 1)(x - 1).

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1. Length of side DE = 9

Length of side DF = 15

2. Length of side DE = 5.625

Length of side EF = 4.96

3. Length of side DF = 10

Length of side EF = 6.61

Given,

Two triangles

Triangle ABC and Triangle DEF ; These are similar triangles

That is,

AB = DE, BC = EF, AC = DF

Here,

AB = 3

BC = 4

1. EF = 12

AB/BC = DE/EF

3/4 = x/12

x = (12 x 3) / 4

x = 3 x 3 = 9

Length of side DE = 9

DF = \(\sqrt{9^{2} +12^{2} }\) = \(\sqrt{81 + 144}\) = √225 = 15

Now,

2. DF = 7.5

AB/BC = DE/DF

3/4 = x/7.5

x = (7.5 x 3) / 4

x = 5.625

Length of side DE = 5.625

EF =  \(\sqrt{7.5^{2}-5.625^{2} }\) = \(\sqrt{56.25-31.64}\) = √24.61 = 4.96

Next,

3. DE = 7.5

AB/BC = DE/DF

3/4 = 7.5/x

x = (7.5 × 4) / 3 = 30/3

x = 10

Length of side DF = 10

EF =  \(\sqrt{10^{2}-7.5^{2} }\) = \(\sqrt{100-56.25}\) = √43.75 = 6.61

That is,

1. Length of side DE = 9

Length of side DF = 15

2. Length of side DE = 5.625

Length of side EF = 4.96

3. Length of side DF = 10

Length of side EF = 6.61

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Answer:

x 3 − y 3

Step-by-step explanation:

Answer:

\( \sin( \theta) \\ \sin(45) = \sin( \frac{\pi}{4} ) \\ = \frac{1}{ \sqrt{2} } \)

or

= (√2)/2

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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It would take approximately 11.6 years for the account balance to reach $20,000 if compounded annually.

The costs a borrower pays a lender for a loan are known as interest. For instance, banks charge interest on the loans that consumers take out.

Simple interest is the term used to describe interest that is based on the principle amount that a person borrows or invests. Contrarily, compound interest is computed on the principle borrowed or invested by the individual as well as the accrued interest from the prior period.

The formula for compound interest is:

A = P(1 + r/n)ⁿˣ

where, A is the amount

P is the principal amount = $10,000

r is the rate = 6% = 0.06

x is time.

n = 1

Substituting the values,

$20,000 = $10,000(1 + 0.06/1)¹ˣ

2 = (1.06)ˣ

Taking the natural logarithm of both sides:

ln(2) = t * ln(1.06)

t = ln(2) / ln(1.06) ≈ 11.6

Therefore, it would take approximately 11.6 years for the account balance to reach $20,000.

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Answer:

119-50 pounds = 69 so 169 pounds -step explanation: blood= weight (k)

Step-by-step explanation:

y=kx

2

4.6 = 170k

finding the constant of variation

3

k= 0.02875

4

equation relates quarts of blood to weight

5

RESULT

4.6 = 170k

y= 0.02875x

y= 0.02875(175)= 5.03125

Answer:

Ww=84 lb

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y=k.x

Where k is the constant of proportionality.

The value of k is obtained by using the values of a specific point.

The weight of water Ww in a person's body varies directly as their body weight Wb as follows:

Ww=k.Wb

We are given a 170-lb person contains 119 lb of water. Substituting:

119=k.170

Solving for k:

k=119/170=0.7

The function is:

\(Ww=0.7\cdot Wb\)

To find how much water is in the body of a 120-lb person, we substitute Wb=120:

\(Ww=0.7\cdot 120\)

Ww=84 lb

Answer:

36 square root 2 also known as C

Step-by-step explanation:

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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answer 60°

solve:180°-(60°+60°)

180°-120°

60°##

A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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Answer:

\(9.5\)

Step-by-step explanation:

\(\sqrt{64}+\frac{6}{-2\left(-2\right)}\)

\(\sqrt{64}+\frac{6}{2 \times 2}\)

\(8+\frac{6}{4}\)

\(\frac{19}{2}\)

\(=9.5\)

Answer:

Hello!

I hope that this is the answer you are looking for

=8.09320

That is the rounded answer.

I hope that helped you!

Step-by-step explanation:

Using the periodicity of the tangent function we can see that:

tan(-4π/3) = -√3

Ok, we know that the trigonometric functions have a period of 2π, that means that we can rewrite the expression:

tan(-4π/3)

as:

tan(-4π/3 + 2π)

The argument can be rewritten as:

tan(-4π/3 + 2π) = tan(2π/3)

Using a table for the tangent function we can see that it is equal to -√3, that is the value of the tangent.

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Answer:

the answer to the question is 3.2

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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Answer:

True

Terms are separated by the signs

Answer:

Step-by-step explanation:

Answer:1/9

Step-by-step explanation:

Simplified:

1/3 x 1/3

1/9

The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer:

sin(θ) is negative, cos(θ) is positive

Step-by-step explanation:

Cosine corresponds to the x-coordinate within the unit circle, sine corresponds to the y-coordinate. In quadrant I, they are both positive, in quadrant II, x is negative whilst y is positive, and you would just continue by how they correspond as show in the unit circle, therefore, in quadrant IV, x is positive, y is negative.

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Answer:

  (3x +2)(x +1)

Step-by-step explanation:

A number of different ways are suggested for doing this. One that seems straightforward is this.

For ax^2 +bx +c, look for factors of ac that total b. Here we have ...

  ac = 3·2 = 6

  b = 5

It is easy to see that the factors we just multiplied to get 6 are ones that total 5: 3+2 = 5.

Now, rewrite the "bx" term using this sum.

  3x^2 +3x +2x +2

Factor each pair of terms.

  3x(x +1) +2(x +1)

And factor out the common factor:

  (3x +2)(x +1)

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

B & E

Step-by-step explanation:

dilations change the size of the shape we are speaking of in the question, which wouldn't stay congruent


-I hope this helps!