-5,-75,3-2,4,3/2 write in ascending order​

The value of the numerical expression (7 x 3481) will be 24,367.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

7 and 3481

Then the product of the numbers 7 and 3481 will be given by putting a cross sign between them. Then we have

⇒ 7 x 3481

⇒ 24,367

The value of the numerical expression (7 x 3481) will be 24,367.

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Answer:

b/a

Step-by-step explanation:

Perpendicular lines have slopes that are opposite sign and reciprocals (flipped over).

In the equation

ax + by = c,

the slope of the line is

-a/b

If you haven't memorized this pattern yet, you can calculate it by solving ax+by=c for y.

by = -ax +c

y = -a/b x + c/b

The slope is -a/b

So a perpendicular line would be opposite sign and flipped, b/a

DJ Howard is making a playlist for a friend. He is trying to decide what 10 pop songs to include. The question asks us how many different playlists are possible. To solve this problem, we will use the formula for permutations.

A permutation is the arrangement of objects in a particular order without repetition. In this case, the order of the songs matters, and we cannot repeat any of the songs.

The formula for permutations is given by:nPr = n!/(n - r)!where n is the total number of items and r is the number of items to be chosen.

In this case, n = 10 (since there are 10 pop songs to choose from) and r = 10 (since we are choosing all 10 songs for the playlist). So we can substitute these values into the formula:n

P10 = 10!/(10 - 10)!nP10 = 10!/0!n

P10 = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1n

P10 = 3,628,800

The number of different playlists that DJ Howard can make is 3,628,800. We can express this answer in scientific notation by moving the decimal point 7 places to the left, which gives us:3.63 x 10^6 Rounding this to the hundredths place, we get:3.63 x 10^6

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Answer:

C, D and E

Step-by-step explanation:

Given equation:

\(\dfrac35(30x-15)=72\)

Use the distributive law  \(a(b-c)=ab-ac\):

\(\implies \dfrac35\cdot30x- \dfrac35\cdot15=72\)

\(\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72\)

\(\implies \dfrac{90}5x- \dfrac{45}5=72\)

\(\implies 18x- 9=72\)  ←  option c

Factor out common term 3:

\(\implies 3(6x- 3)=72\)  ←  option d

Solve \(18x- 9=72\):

\(\implies 18x- 9+9=72+9\)

\(\implies 18x=81\)

\(\implies \dfrac{18x}{18}=\dfrac{81}{18}\)

\(\implies x=4.5\)  ←  option e

Answer:

Your answer is D.

Step-by-step explanation:

If you need explanation ask me in comment

The area of the village green is 3552 square meters.

What is area ?

Area is a measure of the size or extent of a two-dimensional surface. It is the amount of space inside a closed figure or shape, and is typically measured in square units such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on.

To calculate the area of the village green, we can use Heron's formula which is given as:

\(Area of triangle = \sqrt{(s(s-a)(s-b)(s-c))}\)

where s is the semi - perimeter (half the perimeter) of the triangle, and a, b, and c are the lengths of its sides.

The semi - perimeter of the triangle can be calculated as:

s = (AB + BC + AC)/2

s = (92 + 75 + 105)/2

s = 136

Using this value of s, we can calculate the area of the triangle as:

Area of triangle = \(\sqrt{(136(136-92)(136-75)(136-105))}\)

Area of triangle = \(\sqrt{(136(44)(61)(31))}\)

Area of triangle = \(\sqrt{(12655264)}\)

Area of triangle = 3552

Therefore, the area of the village green is 3552 square meters.

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Answer:

20

Step-by-step explanation:

Given:

Lisa is checking out at the bookstore.

Each book (b) costs $1.50 and she has a $5 off coupon she can use.

She wants to spend $25 or less in the bookstore.

Solve:

Since there is a $5 off coupon..

$1.5b - $5.00<=$25.00

$1.5b<= $30.00

$1.5b/1.5 = $30.00/1.5

b=20

Lisa can buy 20 book.

~lenvy~

Answer:4, 0p0 to tons

Step-by-step explanation:because

It's really hard to see on the graph but the answer should be A. Germany won the fewest number of Olympic medals in the Summer Games of 2004.

If you read the other options, it doesn't make sense at all so through the process of elimination, A is the answer.

Answer:

A.Germany won the fewest number of Olympic medals in the Summer Games of 2004.

Step-by-step explanation:

because i took the quiz

Answer:

B and E

Step-by-step explanation:

Fit's, they multiplied both sides by 4/3 instead of 3/4. Then they divided the answer by 3 instead of taking the cube root of both sides.

Using the radians we know that the length of the arc in terms of π is s = 1.53 * π * 12 ft or s = 57.60 ft.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

So, the central angle of degrees must first be converted to radians.

θ(rad) = 275/180 * π = 1.53 rad

Then, by multiplying the Central angle (in rad units) by the circle radius r, the arc length may be determined:

s = θ * r

Changing the θ and r values:

s = 1.53 * π * 12 ft

s = 57.60 ft

Therefore, using the radians we know that the length of the arc in terms of π is s = 1.53 * π * 12 ft or s = 57.60 ft.

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Correct question:

Find the length of the arc, s, on a circle of radius r intercepted by a central angle θ. Express arc length in terms of π. Then round your answer to two decimal places.

Radius, r = 12 feet; Central angle, θ = 275

Answer:

1/8x³- 1/27y³

Step-by-step explanation:

1/216×(27x³-8y³)

1/216×(3x-2y)×(9x²+6xy+4y²)

1/216×(3x-2y)×(9x²+6xy +4y²)

Answer:

B=45

Step-by-step explanation:

let the supplamentary angle of <A is <d

180-A=d

180-135=d

45=d

90+d+B=180

90+45+B=180

135+B=180

B=180-135

B=45

Answer:

that's the answer

Step-by-step explanation:

Answer:

Instead of moving right 4 times and up 7 times, John moved left 4 times and down 7 times.

Step-by-step explanation:

(x + 4, y + 7) = Right 4, Up 7

NOT

(x - 4, y - 7) = Left 4, Down 7

Answer:

The transformation rule should be applied to the pre-image.  The application of the rule results in the point (8, 12).  The transformation rule was applied to the wrong point.

Step-by-step explanation:

Sample Response:The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

Answer:

EF = 2.37

Step-by-step explanation:

It's given that these are similar triangles.

In similar triangles, the side lengths are proportional.

We can write the following equation based on this information:

\( \frac{11}{3.3} = \frac{7.9}{ef} \)

11EF = 27.03

EF = 2.37

Answer:

there's no picture

Step-by-step explanation:

sorry

There is sufficient evidence for significance level 10%  to conclude students with study skills course have higher exam scores using hypothesis test.

To conduct a hypothesis test,

set up the null and alternative hypotheses and perform the necessary calculations.

Null Hypothesis (H₀),

The study skills course did not have a significant effect on the mean final exam scores. µ = 77.6.

Alternative Hypothesis (Hₐ),

The study skills course had a significant effect on the mean final exam scores. µ > 77.6.

To test this hypothesis, use a one-sample t-test since we have a sample mean and population standard deviation.

Sample mean (X) = 79.5

Population mean (µ) = 77.6

Population standard deviation (σ) = 7.2

Sample size (n) = 36

Significance level (α) = 0.10 (10%)

First, let's calculate the test statistic (t-value),

t

= (X - µ) / (σ / √n)

= (79.5 - 77.6) / (7.2 / √36)

= 1.9 / (7.2 / 6)

= 1.9 / 1

= 1.9

Next, determine the critical t-value from the t-distribution calculator.

Since the alternative hypothesis is one-sided (µ > 77.6), interested in the upper tail of the distribution.

At a significance level of 0.10 with 35 degrees of freedom (n - 1 = 36 - 1 = 35), the critical t-value is approximately 1.310.

Since the calculated t-value (1.9) is greater than the critical t-value (1.310), we have evidence to reject the null hypothesis.

Therefore, using hypothesis test there is sufficient evidence at 10% significance level to conclude that students who took study skills course had higher exam scores.

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Answer:

Variable

Step-by-step explanation:

If you can substitute a unknown variable with another expression that is equal, you can then solve for another variable, and with that equal expression, solve for the first variable.

The correct answer is "half the width of the confidence interval."

The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

In a confidence interval, the width represents the range between the upper and lower bounds of the interval. The margin of error indicates the maximum amount by which the sample estimate can deviate from the true population parameter.

To calculate the margin of error, you divide the width of the confidence interval by 2. This is because the margin of error represents the distance from the sample estimate to the upper or lower bound of the interval. By dividing the width by 2, we determine the maximum amount of deviation from the estimate allowed on either side.

Therefore, the correct answer is "half the width of the confidence interval."

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The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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Using Contrapositive the true statement is (1) If an item is a pendant then item is made from the copper.

Contraposition, along with its accompanying proof strategy known as proof by contraposition, refers to the inference that follows from a conditional assertion into its logically equivalent contrapositive. The antecedent and consequent of a sentence are inverted and flipped in the contrapositive.

CONVERCE of GIVEN STATEMENT - 1 is False

INVERSE OF STATEMENT- 1 is false

CONTRAPOSITIVE of statement- 1 is true

Given,

1 ) If an item is a pendant then item is made from the copper.

This statement is true.

2 ) CONVERSE of above statement- If the item is only made from copper then the item is only pendent

This statement is not true because the Necklace is also made of copper

3 ) Inverse of above statement- If the item is not a pendant , the the item is not made up with copper

This statement is not true cause necklace is made up of copper .

4 ) Contrapositive - If the item is not made up with the copper then item is not pendant .

This statement is True

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It has been proved that the matrix A has two distinct real eigenvalues if and only if k > 0.

Let's first define what eigenvalues and eigenvectors are:

Eigenvalues are scalars that represent how a linear transformation changes an eigenvector.

Eigenvectors are non-zero vectors that remain in the same direction when a linear transformation is applied to them.

Now, to find the eigenvalues of a matrix, we need to solve the characteristic equation:

det(A - λI) = 0

where A is the matrix, I is the identity matrix, and λ is the eigenvalue we want to find.

In our case, the matrix A is:

A = [-6 k     -1 -1]

So, the characteristic equation is:

det(A - λI) = (-6-λ)(-1-λ) - k = λ² + 7λ + 6 - k = 0

Now, we can use the quadratic formula to solve for λ:

\(\lambda = (-7 \pm \sqrt{(49 - 4(1)(6 - k)))} / 2\)

Simplifying this expression gives:

\(\lambda = (-7 \pm \sqrt{(25 + 4k))} / 2\)

We can see that this expression will only have distinct real roots if the discriminant (25 + 4k) is positive.

So, we have:

25 + 4k > 0

4k > -25

k > -25/4

Therefore, matrix A has two distinct real eigenvalues if and only if k > -25/4. However, we need to check whether these eigenvalues are positive or not.

Recall that the eigenvalues are:

\(\lambda_1 = (-7+ \sqrt{(25 + 4k))} / 2\)

\(\lambda_2 = (-7 - \sqrt{(25 + 4k))} / 2\)

If k > 0, then both λ₁ and λ₂ will be positive.

If k = 0, then λ₁ = -3.5 and λ₂ = 0, which means they are not both positive.

If k < 0, then λ₁ will be positive and λ₂ will be negative, which also means they are not both positive.

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

According to TB incidence data from 2019, the true statement about TB incidence in that year is that "The Texas TB incident rate is above the national target."

TB incidence in 2019 refers to the statistical measure of the occurrence of tuberculosis disease within a specific region or population during that year. It provides valuable insights into the number of individuals infected by TB bacteria and the reported cases of the disease within the same timeframe. In this context, the available data indicates that the TB incident rate in Texas surpasses the national target. This suggests that the incidence of tuberculosis cases in Texas exceeded the desired level set as a goal at the national level.

It's important to note that without further details, such as the specific national target or the actual incidence rates, we cannot provide precise figures or make comparisons to other options. However, based on the given statement, we can conclude that the TB incident rate in Texas in 2019 was higher than the intended national target.

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Answer:

\(y=-4x+1\)

Step-by-step explanation:

To get this, use the following steps:

1) Knowing that line q is perpendicular to the line p, the slope of line q must be the negative reciprocal of the slope of line p. Thus the slope is \(-(\frac{1}{4})^{-1} = -4\)

2) To find the equation, plug in the point given:

   \(5 = -4(-1) + b\)

   \(b = 1\)

3) The equation of line q is thus:

   \(y= -4x+1\)