Which expression is equivalent to 21\root(3)(15)-9\root(3)(15)

Answer:

∡x = 30°

∡y = 70°

∡z = 80°

Step-by-step explanation:

Answer:

A. y+6 = -3(x-2)

Step-by-step explanation:

The slope point formula is:

y - y₁ = m (x - x₁)

Our slope is negative 3, and our coordinates given are 2 and -6.

Substitute -3 for m, -6 for y₁, and 2 for x₁

y - (-6) = -3 (x - 2)

Negative and negative multiplied together make postive

A. y+6 = -3 (x-2)

Answer:

x=138

Step-by-step explanation:

A triangle's angles equal to 180

104+34=138

180-138=42

X and 42 are a liner pair so they equal 180

138+42=180

x=138

The solutions of the equation tan(x) = 2.7 between 0 and 2π can be estimated by analyzing the graph of the tangent function. There are three solutions within this interval, which occur at approximately x = 0.858, x = 2.287, and x = 3.429.

1. To estimate the solutions of tan(x) = 2.7, we can examine the graph of the tangent function. The graph of y = tan(x) has a repeating pattern with vertical asymptotes occurring at x = π/2, 3π/2, etc., and horizontal asymptotes at y = -1 and 1. It also passes through the origin (0, 0).

2. We are interested in finding the x-values where the graph intersects the line y = 2.7. By observing the graph, we can see that it intersects the line y = 2.7 in three different places within the interval from 0 to 2π. To determine the approximate values of these intersections, we can visually estimate the x-coordinates of the points of intersection on the graph.

3. Using this approach, we can estimate the solutions as x = 0.858, x = 2.287, and x = 3.429 (rounded to three decimal places). These values represent the x-coordinates where the tangent function crosses the line y = 2.7.

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It looks like the limit is

\(\displaystyle \lim_{x\to3} \frac{x^2 + x - 12}{x^2 - 3x}\)

Factorize the numerator and denominator to reveal a removable discontinuity and evaluate the limit.

\(\displaystyle \lim_{x\to3} \frac{x^2 + x - 12}{x^2 - 3x} = \lim_{x\to3} \frac{(x + 4) (x - 3)}{x (x - 3)} = \lim_{x\to3} \frac{x+4}x = \frac{3+4}3 = \boxed{\frac73}\)

Answer:

Her solution is incorrect. The correct solution for the equation is x=7

Step-by-step explanation:

Sasha solved the equation incorrectly.

The correct way to solve this equation would be:

8x = 56

Divide both sides by 8.

\(\frac{8x}{8}= \frac{56}{8}\)

You would get x=7.

This equation has 1 solution.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

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−Kallmekrish

The volume of the funnel to the nearest cubic centimeter is 38.

The given funnel is in the shape of cone, so volume of cone gives the volume of funnel. The formula of volume of the cone is as follows:

\(V=\frac{1}{3} \pi r^{2} h\)

Where r is the radius and h is the height of the cone and π=3.14.

The funnel is in the shape of cone with height 9 centimeter and diameter 4 centimeter.

Radius of cone  \(=\frac{4}{2} =2 c m\)

Now, putting the value of h, r and π in the formula of volume of cone,

\(V=\frac{1}{3} \pi r^{2} h\\\\V=\frac{1}{3} \times 3.14\times 2^{2}\times 9\\\\V=37.68\)

Approximating to nearest cubic centimeter, we get

\(V\approx38cm^3\)

Hence, the volume of the funnel with diameter 4 centimeter and height 9 centimeter is 38 cubic centimeter.

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Answer:

52 weeks

Step-by-step explanation:

Cousins bank account

52 x 25 = 1300

1855 - 1300 = 555

My bank account

52 x 10 = 520

520 + 35 = 555

In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. In light of this, the 2000 census indicates that 3,360 out of 12,000 houses use electricity for heating.

Because we've already done it 7 out of every 25 residences are heated by electricity, according to the 2000 U.S. census.At this rate, we must determine how many residences in a 12000-person neighbourhood would be heated by electricity.Let x be the number of homes in a neighbourhood that would be heated by electricity.There being a direct variation

The result is that , A neighbourhood of 12000 people with 3360 dwellings that use electricity for heating. In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. According to the 2000 Census, 3,360 dwellings out of 12,000 are heated by electricity.

\($\frac{7}{25}=\frac{x}{12000}$\)

\($x={7 \times 12000}/{25}$$x=3360$\)

As a result, 3360 households out of the 12000 in the community use electricity for heating.

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Based on the analyzed data from more than 5,000 adults, researchers found that the more diet sodas a person drank, the greater the person's weight gain.

But it is not true that drinking diet soda causes weight gain.

The causal link between drinking diet soda and weight gain is not established. People who drink diet soda may be consuming more calories and sugars from other sources or may be leading an unhealthy lifestyle that results in weight gain.

the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

Therefore, it can be concluded that drinking diet soda does not directly cause weight gain. Instead, a healthy lifestyle and balance between calorie intake and energy expenditure is necessary to maintain a healthy weight.

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Answer:

the expanded form is D

number of terms = numb top - numb bottom + 1

n = 5 - 1 + 1

n = 5

Sn = n/2 ( a + L )

S5 = 5/2 ( 2 + 242 )

S5 = 5/2 ( 244)

S5 = 610

Answer:

56 kilograms is equal to approximately 123.456 pounds.

A scientist can use bootstrap analysis to estimate the strength of evidence that a particular node in a phylogeny exists.

Bootstrap analysis is a statistical method used to determine the reliability and robustness of phylogenetic trees' topologies. In bootstrap analysis, a series of random resampling with replacement is used to assess how well the observed data fit the phylogenetic hypothesis.

Bootstrap values range from 0 to 100 and reflect the proportion of times that a particular node or branch occurs in the bootstrap replicate trees. Bootstrap values greater than 70% are usually considered strong evidence that a particular node or branch exists in the phylogenetic tree.

Bootstrap analysis is an important tool for understanding the reliability of phylogenetic trees and the evolutionary relationships among organisms.

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Answer: A.    7.50 +14P < 60

Step-by-step explanation:

Let P represent the number of pizzas that Jacque buys.

Given, delivery fee =$7.50

Per pizza cost = $14

She wants to buy as many pizzas as she can, and she also needs to

keep the delivery fee plus the cost of the pizzas under $60.

i.e.  (delivery fee) + (Number of pizzas) x (Per pizza cost) < $60

i.e. 7.50 +14P<60

Required inequality :  7.50 +14P<60

Answer:

A.    7.50 +14P < 60  Answer: Jacque can only afford 24 slices of pizza

Step-by-step explanation:

The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

Given that,

The equations,

D=1-x² and C = -1-3x²+4x

We have to find the expression 3D-3C in standard form.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

We get,

3D-3C

3(1-x²)-3(-1-3x²+4x)

3-3x²+3+9x²-12x

6+6x²-12x

6x²-12x+6

Therefore, The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.

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Answer:

\( - 12\)

Step-by-step explanation:

\(x1 = x \: \: y1 = 3 \\ x2 = 4 \: \: y2 = 3 \\ distance \: betwen \: two \: points = \sqrt{(x2 - x1) {}^{2} +( y2 - y1) {}^{2} } \\ 16= \sqrt{(4 - x) {}^{2} + (3 - 3) {}^{2} } \\ 16 = \sqrt{(4 - x) {}^{2} + 0} \\ 16 = \sqrt{(4 - x) {}^{2} } \\ 16 = 4 - x \\ 16 - 4 = - x \\ 12 = - x \\ x = - 12\)

Answer:

Step-by-step explanation:

First, put the data in the ascending order:

Number of elements is 8, so the median is the average of the middle two elements:

Now, this is not one of the answer choices. It means given set is missing a number.

If the missing number is less than 35, it makes 35 the middle number, so it becomes the median.

If the missing number is greater than 37, it makes 37 the middle number, so it becomes the median.

Since we have 35 as a choice and not 37, the right choice is A.

Answer:

A. 35

Step-by-step explanation:

The median of a data set is the middle value when the data values are placed in order of size.

Given data set:

Place the data in order of size:

To find the median, divide the total number of data values (n) by 2.

As there are 9 data values, the median value is:

\(\implies \dfrac{9}{2}=4.5 \implies \sf 5th\;value\)

Therefore, the median of the given data set is 35.

Answer:

Step-by-step explanation:

A(-5,-2),B(-2,-2), C(-5,2)

find distance first:d=√(x2-x1)^2+(y^2-y1^2)

AB: 3

BC: 5

AC: 4

perimeter of triangle=3+5+4=12

compliment angle=90

90+34=124

5x+17+x+19=180

x=24

Answer:

3

Hope that helps!

Step-by-step explanation:

9514 1404 393

Answer:

  D

Step-by-step explanation:

Draw lines through corresponding vertices. Where those lines meet is the center of dilation. It is point D.

Answer:

42.64 mph

Step-by-step explanation:

5 1/3 / 7 1/2 = m/60

see attached for explanation

Answer: is 5

Step-by-step explanation:

I said so

is not the right answer

Answer:

prolly like 6.53485

Step-by-step explanation:

Answer:

Hi

The answers is

W=36 ÷ 4

Answer:

D) SSS congruence theorem

Step-by-step explanation:

Edge 2021

We have the following:

To calculate the gasoline spent we must multiply the value per gallon and the amount spent

Which means he spent a total of $ 36.96

Answer:

30

Step-by-step explanation:

6 - (-24) = 6 + 24 = 30

Method 1:  take the larger number and subtract the smaller number.

Method 2:  The scale on the number line has spaces every 6 units. There are 5 spaces between the two points.  5 x 6 = 30

The proportions of the population identified as intellectually disabled or as gifted differ, with a relatively small percentage being identified as intellectually disabled and a slightly larger percentage identified as gifted.

The identification of individuals as intellectually disabled or gifted is based on specific criteria and assessments. Intellectual disability refers to individuals who have significantly below-average intellectual functioning and limitations in adaptive behavior. Giftedness, on the other hand, refers to individuals who demonstrate exceptional abilities or potential in one or more areas.

The proportion of the population identified as intellectually disabled tends to be relatively small. According to the World Health Organization, approximately 1-3% of the global population has an intellectual disability.

In contrast, the proportion of the population identified as gifted is also relatively small but can vary depending on the criteria used for identification. Estimates suggest that around 2-5% of the population may be considered gifted.

Therefore, the proportions of the population identified as intellectually disabled or as gifted differ, with a relatively small percentage being identified as intellectually disabled and a slightly larger percentage identified as gifted.

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z-value is -1.9599

To find the value z such that the area to the left of z under the standard normal curve is 0.025, you can use the qnorm() function in R as follows:

The output will be the z-value you are looking for. To round your answer to 4 digits after the decimal point, you can use the round() function in R:

The output will be the rounded z-value, which should be approximately -1.9599.

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