Shea wrote the expression 5( y + 2) + 4 to show the amount of money five friends paid for snacks at a baseball game. Which expression is equivalent to the one Shea wrote?

Answer:

Step-by-step explanation:

-3 + 4i

value = square( (-3)^2 + (4i)^2 ) = sqr(9 + 16) = sqr(25) = 5

The absolute value is like the Pythagoras theorem

both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities. The resultant remains the same at 3.2 *10^4 Tm

It is possible for the line integral to go around the loop in either direction (clockwise or counterclockwise), the vector area dS to point in either of the two normal directions and Ienc, which is the net current passing through the surface S, to be positive in either direction—but both directions can be chosen as positive in this example. The right-hand rule solves these ambiguities.

The resultant remains the same at 3.2 *10^4 Tm

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Answer:

-2/5 this is the answer to 6^2x+2•6^3x=1

Answer:

The expression from part B is = (1 • 2) • (106 • 10-8).

Multiply the first factors.

1 • 2 = 2

Multiply the powers of 10 using this property of exponents: anam = an + m.

106 • 10-8 = 106 + (-8) = 10-2

The expression is 2 × 10-2.

Step-by-step explanation:

This is Plato and edmentumm sample response. Please paraphrase other wise you will get in trouble. I'm sorry if I'm late!

Therefore, the total number of ways the lights can be arranged on the string is: 14! / (2! * 4! * 5! * 2!).

To find the number of ways the lights can be arranged on a string, we need to calculate the total number of permutations.

The total number of lights is 2 red lights + 4 yellow lights + 5 blue lights + 1 green light + 2 pink lights = 14 lights.

Since all the lights are distinct, we can arrange them in 14! (factorial) ways. However, since there are repetitions of certain colors, we need to account for that.

The red lights are identical, so we divide by 2! (the number of permutations of the red lights among themselves).

The yellow lights are identical, so we divide by 4! (the number of permutations of the yellow lights among themselves).

The blue lights are identical, so we divide by 5! (the number of permutations of the blue lights among themselves).

The pink lights are identical, so we divide by 2! (the number of permutations of the pink lights among themselves).

Therefore, the total number of ways the lights can be arranged on the string is:

14! / (2! * 4! * 5! * 2!)

You can calculate this expression to find the specific number of arrangements.

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The likelihood of exactly 9 out of 20 students agreeing that online courses provide the same educational value as classroom courses is 18.36%.

To determine the likelihood of exactly 9 out of 20 students agreeing that online courses provide the same educational value as classroom courses, we can use the binomial probability formula.

The binomial probability formula is given by

P(x) = (nCx) * \(p^x\) * \((1-p)^{n-x}\),

where n is the sample size, x is the desired number of successes, p is the probability of success, and (nCx) represents the combination of n objects taken x at a time.

In this case, n = 20, x = 9, and p = 0.40 (as 40% of online students agreed). Plugging these values into the formula, we get

P(9) = (20C9) * \((0.40)^9\) * \((0.60)^{20-9}\).

Calculating this using a binomial calculator or software, the probability of exactly 9 out of 20 students agreeing is approximately 0.1836 or 18.36%.


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Answer:

Tyler didn't make any mistake

This is correct method

Answer:

D. Tyler did not make a mistake

Step-by-step explanation:

:)

Answer:

B

Step-by-step explanation:

Answer:

x^2-2x-9

Step-by-step explanation:

Answer:

the ratio is 2:11

Step-by-step explanation:

I already wrote this in a comment, but I'm writing it here because the other person's answer was deleted.

when all the measurements of the ingredients are added together, that makes 11.

according to the recipe, there's 2 cups of mixed nuts.

so the ratio is 2 cups of mixed nuts to 11 cups of granola.

Answer:

answer given in step by step...

Step-by-step explanation:

13x+13(x+1)+13(x+2)=312

13x+13x+13+13x+26=312

39x+39=312

39x=312-39

39x=273

x=7

first number=13x=13*7=91

second number=13(8)=104

third number=13(9)=117

Answer:

-24

Step-by-step explanation:

I think its D i hope this helps :D

Answer:

A. 3 is the answer of questions

Answer:

P = Parker

According to the question,

Equation for Jessica's height = 8 - 2P

Answer:

Lines a and b are parallel.

Because when 54 is added to 126, the answer is 180.

(SAME SIDE INTERIOR THEOREM)

Answer:

Step-by-step explanation:

3/9 = 1/3

xy^2/x^8y^6 = 1/x^(8-1)y^(6-2) = 1/x^7y^4

therefore, 1/3x^7y^4

"The slope means that she climbed an average of 150 feet per day" is correct about the question.

A scatter plot is a visual representation of data that is used to display the relationship between two variables. The data is plotted on a graph with one variable on the x-axis and the other on the y-axis. The points on the graph are then connected with a line of best fit, which is a line that best represents the data. This line of best fit can be used to make predictions about future values of the data.

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Answer:

150 feet per day

Step-by-step explanation:

The value of the expression 12* 5/6 is 20

The expression is given as:

12x\frac{5}{6}

Rewrite properly as:

12* 5/6

Divide 12 and 6 by 6

2 * 10

Evaluate the product

20

Hence, the value of the expression 12* 5/6 is 20

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Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

In the top right corner is -7x since we multiply the x and -7

In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

In the top left corner, the x^2 is from multiplying the two copies of x.

Answer:

The answer is noncollinear

Step-by-step explanation:

Answer:

Non-collinear because the points dont line up to be colinnear. learned this today dead a** its not hard. pay attention

Step-by-step explanation:

The cοmpany caught a tοtal οf apprοximately 557,739 ( nearest whοle number) fish οver the first 12 years.

Whοle numbers are pοsitive numbers (this includes 0) that dο nοt have decimals οr fractiοns tο them.

Tο sοlve this prοblem, we can use geοmetric prοgressiοn tο calculate the tοtal number οf fish caught by the cοmpany οver the 12 years. The first term in the sequence is 78,000, and the cοmmοn ratiο is 0.95 (since the number οf fish caught decreases by 5% each year).

The fοrmula fοr the sum οf a geοmetric prοgressiοn with n terms is:

Sₙ = a(1 - rⁿ) / (1 - r)

where a is the first term, r is the cοmmοn ratiο, and n is the number οf terms.

Tο find the sum οf the first 12 terms, we substitute a = 78,000, r = 0.95, and n = 12 intο the fοrmula:

S₁₂ = 78,000(1 - 0.95¹²) / (1 - 0.95) ≈ 557,739

Therefοre, the cοmpany caught a tοtal οf apprοximately 557,739 fish οver the first 12 years.

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(a) A basis for the solution space of the homogeneous system of linear equations is:

{(-3, 1, 0, 0), (-5, 0, -5, 1)}

(b) The dimension of the solution space is 2.

To find a basis for the solution space, we first write the augmented matrix of the system and row-reduce it to its echelon form or reduced row-echelon form.

Then, we identify the free variables (variables that can take any value) and express the dependent variables in terms of the free variables. The basis for the solution space consists of the vectors corresponding to the free variables.

In this case, after performing row operations, we obtain the reduced row-echelon form:

[1 0 -1 -1 0]

[0 1 3 2 0]

[0 0 0 0 0]

The first and second columns correspond to the free variables x3 and x4, respectively. Setting these variables to arbitrary values, we can express x1 and x2 in terms of x3 and x4 as follows: x1 = -x3 - x4 and x2 = -3x3 - 2x4. Therefore, a basis for the solution space is {(-3, 1, 0, 0), (-5, 0, -5, 1)}.

Since the basis has 2 vectors, the dimension of the solution space is 2.

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Using the fundamental theorem of calculus, part 2, we have evaluated the integral ∫1−1(t3−t2)dt to be -1/6.

To use the fundamental theorem of calculus, part 2 to evaluate the integral ∫1−1(t3−t2)dt, we first need to find the antiderivative of the integrand. To do this, we can apply the power rule of calculus, which states that the antiderivative of x^n is (x^(n+1))/(n+1) + C, where C is the constant of integration. Using this rule, we can find the antiderivative of t^3 - t^2 as follows:
∫(t^3 - t^2)dt = ∫t^3 dt - ∫t^2 dt
= (t^4/4) - (t^3/3) + C
Now that we have found the antiderivative, we can use the fundamental theorem of calculus, part 2, which states that if F(x) is an antiderivative of f(x), then ∫a^b f(x)dx = F(b) - F(a). Applying this theorem to the integral ∫1−1(t3−t2)dt, we get:
∫1−1(t3−t2)dt = (1^4/4) - (1^3/3) - ((-1)^4/4) + ((-1)^3/3)
= (1/4) - (1/3) - (1/4) - (-1/3)
= -1/6
Therefore, using the fundamental theorem of calculus, part 2, we have evaluated the integral ∫1−1(t3−t2)dt to be -1/6.

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Answer:

x = 12.1243557....

Step-by-step explanation:

14² = 7² + x²

Isolate x.

x² = 14² - 7²

x² = 196 - 49 = 147

√x² = √147

x = √147 = 12.1243557....

Answer:

12.1 rounded to the nearest tenth.

Step-by-step explanation:

\(7^{2} +x^{2} = 14^{2}\)       \(7^{2}\) means 7x7 = 49; \(14^{2}\) means 14x14 = 196

49 + \(x^{2}\) = 196       Subtract 49 from both sides of the equation

\(x^{2}\) = 147

\(\sqrt{x^{2} }\) =\(\sqrt{147}\)

x = \(\sqrt{147}\)      This would be the exact answer.

12.1   is your answer rounded to the nearest tenth

Answer:

-1 :)

Step-by-step explanation:

The total amount of payments that Kayla has made over the first 4 months is $161.73.

To determine the total amount of payments made by Kayla over the first 4 months, we need to add up the payment amounts for each month. Looking at the table, we can see the payment amounts for each month:

Month 1: $0.00

Month 2: $54.00

Month 3: $53.91

Month 4: $53.82

To calculate the total amount of payments, we add these amounts together:

Total amount of payments = $0.00 + $54.00 + $53.91 + $53.82

= $161.73

Therefore, the total amount of payments that Kayla has made over the first 4 months is $161.73.

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Answer:

12

Step-by-step explanation:

In an equation left side = right side.

Answer:

Ari's is less than Davids

Ari=18.75

David=24.00

Step-by-step explanation:

A conditional probability of an event tells us that the event has already occured.

Given a _______ probability of an event is a ............. other event has already occurred.

We have to fill the blank with appropriate term or word associated with probability.

The right term is conditional.

Conditional probability of an event is a probability obtained with knowledge that some other event has already occured.

It is denoted as P(A I B).

It satisfies the following equation:

P(AIB)=P(A and B ) / P(B)

where P( A and B) is the probability of A and B together.

Hence conditional probability of an event is obtained with knowledge that some other event has already occured.

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Two prisms are in our immediate vicinity: a rectangular prism (bottom solid) and a triangular prism (top solid). The volume shall be:

\(c) {6783ft}^{3} \)

Each one will have the following volume:

Prism with a rectangular shape.

This solid has three sides, each of which is long:

\(a=18 ft \\ b=21 ft \\ c=13 ft

\)

then volume will be

\(V_{RP} =a×b×c \\ V_{RP}=18 ft×21 ft×13 ft \\ V_{RP} = {49134 ft}^{3}

\)

The triangular face has a base measurement of 18 feet and a height measurement of 16 feet. L=13 is the depth. The triangular prism's volume will then be:.

\( V_{TP} = \frac{1}{2}b×h×l \\ V_{TP}=\frac{1}{2}×18 ft×16 ft×13 ft \\ V_{TP}= {1872 ft}^{3}

\)

The individual volumes of the triangular and rectangular prisms add up to the total volume. Consequently, it will be:

\( V_{T} =V_{RP}+V_{TP} \\ V_{T} = {4914 ft}^{3} + {1872 ft}^{3} \\ V_{T}={6786 ft}^{3}\)

Thus, option c is correct.

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Note that the full question is:

Find the volume of the composite figure.

a)1,872ft3

b)4,914ft3

c)6,786ft3

d)2,032ft3