What is the value of x?
70°
12x + 14

Rewrite in simplest terms: -4(-8w-4x)-7x-10(-10x+8w)

Answer: -48w + 109x

Answer:

−48w + 109x

Step-by-step explanation:

a) Distribute:

(−4)(−8w) + (−4)(−4x) + −7x + (−10)(−10x) + (−10)(8w)

32w + 16x + −7x + 100x + −80w

b) Combine Like Terms:

32w + 16x + −7x + 100x + −80w

(32w + −80w) + (16x + −7x + 100x)

−48w + 109x

P(17 ≤ X ≤ 25) = 0.8556 - 0.1862 = 0.6694Answer: 0.6694 The given bag has 4 green marbles and 6 purple marbles. A marble is drawn and then replaced. This experiment is repeated 50 times. We are required to determine the probability that a green marble is drawn between 17 and 25 times, inclusive.We can use the binomial distribution to solve this problem.

Let X be the number of times a green marble is drawn in 50 trials of the experiment. Then X ~ B(50, 0.4) where p = 0.4 is the probability of drawing a green marble in one trial.P(X = x) = (50Cx)(0.4)x(1 - 0.4)50 - xThe probability that a green marble is drawn between 17 and 25 times, inclusiveP(17 ≤ X ≤ 25) = P(X ≤ 25) - P(X < 17)We haveP(X < 17) = P(X ≤ 16)P(X ≤ 16) = ∑P(X = x) from x = 0 to x = 16Now using the binomial distribution, we getP(X ≤ 16) = 0.1862P(X ≤ 25) = ∑P(X = x) from x = 0 to x = 25Now using the binomial distribution, we getP(X ≤ 25) = 0.

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Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

The sum to infinity of the function is -3/2

from the question, we have the following parameters that can be used in our computation:

\(\sum\limits^{\infty}_{1} {3^n} \,\)

From the above sequence, we have

First term, a = 3

Common ratio, r = 3

The sum to infinity of the function is calculated as

Sum = a/(1 - r)

So, we have

Sum = 3/(1 - 3)

Evaluate

Sum = -3/2

Hence, the sum is -3/2

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Question

Calculate the sum to infinity of the function for

\(\sum\limits^{\infty}_{1} {3^n} \,\)

Answer:

The answer is in the step by step below (image)

Step-by-step explanation:

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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Fruit punch is served during the reception in 154-ounce cups using division.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

For instance, 4 2 Equals 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

The division is represented mathematically by a symbol consisting of a tiny horizontal line with dots above and below the line. The division of two integers is represented by one of two fundamental division symbols.

Total fruit punch foe prepared = 3696 ounces

Number of punch balls = 4

Each serving has = 6 ounces of punch

So, 4 servings will have

4 × 6 = 24

The number of servings of fruit punch available at reception is given by

3696÷24

= 154

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Answer:

b

Step-by-step explanation:

Answer:

The one that looks like a letter U

5/x = x/ 9

Cross-multiply

x² =45

Take the square root of both-side

x = 3√5 or 6.7082039325

Answer:

see that attachment

I hope it's help you

Let the four consecutive natural numbers are X,X+1,X+2,X+3

Their sum = X+X+1+X+2+X+3 = 4X+6

According to the given problem

Their sum = 166

⇛ 4X+6 = 166

⇛4X = 166-6

⇛4X = 160

⇛X = 160/4

∴ X = 40

X+1 = 40+1 = 41

X+2 = 40+2 = 42

X+3 = 40+3 = 43

The four consecutive natural numbers are 40,41,42,43

also read similar questions: The sum of two prime numbers is 85, what is the product of these two prime numbers? A. 85 B. 91 C. 115 D. 166

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Answer:

Step-by-step explanation:

The slope-intercept form is

Convert the given equation into slope-intercept form

The slope is:

The y-intercept is:

Correct choice is A

First isolate y

Compare to slope intercept form y=mx+b

The elevation of the hole after placing the bush in the hole is 17/8 feet

Given: Davis digs a hole at a rate of 3/4 feet every 10 minutes

After digging for 40 minutes, Davis places a bush in the hole that fills exactly 7/8 feet of the hole

This involves subtraction and multiplication of fractions

Since the rate of digging = 3/4 feet every 10 minutes

Thus, after digging for 40 minutes, the depth will be:

3/4 × 4 = 3 feet

If Davis places a bush in the hole that fills exactly 7/8 feet of the hole, the remaining depth or elevation will be:

3 feet - 7/8 feet = 17/8 feet

Therefore,  after placing the bush in the hole, the elevation of the hole is 17/8 feet

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The correct option D.

Rotation and translation transformation(s) could map one triangle to the other.

Triangle A is mapped to triangle B by reflecting it across the x-axis and rotating it 90 degrees counterclockwise with respect to the origin. Triangle A to triangle B will be mapped using the following set of transformations, which also highlights how similar the two figures are.

When registering a digital map, satellite image, or air photo onto a projected coordinate system, geometric transformation is the process of applying a set of control points and transformation equations. Map-to-map transformation and image-to-map transformation are examples of geometric transformation in geographic information systems (GIS).

Mathematically speaking, a transformation is a mapping from a preimage of a shape or function to an image of the same shape or function. Translation, rotation, and reflection are the three main categories of transformations.

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I understand that the question you are looking for is:

Which transformation(s) could map one triangle to the

other?

O reflection

O translation

O reflection and translation

O rotation and translation

Answer: D ) Rotation and traslation.

Step-by-step explanation:

yo, got it right

Answer:

\(-\frac{1}{64}\)

Step-by-step explanation:

Evaluate the following limit.

\(\lim_{x \to 0} \frac{\frac{1}{x+8} -\frac{1}{8} }{x}\)

(1) - Simplify the limit

\(\lim_{x \to 0} \frac{\frac{1}{x+8} -\frac{1}{8} }{x}\\\\\Longrightarrow \lim_{x \to 0} \frac{\frac{1(8)}{(x+8)(8)} -\frac{1(x+8)}{8(x+8)} }{x}\\\\\Longrightarrow \lim_{x \to 0} \frac{\frac{8-x-8}{8(x+8)} }{x} \\\\\Longrightarrow \lim_{x \to 0} \frac{\frac{ -x}{8(x+8)} }{x} \\\\\Longrightarrow \lim_{x \to 0} \frac{-x}{8x(x+8)} \\\\\Longrightarrow \boxed{\lim_{x \to 0} \frac{-1}{8(x+8)} }\)

(2) - Plug in the limit

\(\lim_{x \to 0} \frac{-1}{8(x+8)}\\\\\Longrightarrow \lim_{x \to 0} \frac{-1}{8((0)+8)}\\\\\Longrightarrow \lim_{x \to 0} \frac{-1}{8(8)} \\\\\therefore \boxed{\boxed{\lim_{x \to 0} \frac{\frac{1}{x+8} -\frac{1}{8} }{x}=-\frac{1}{64} }}\)

The value r², called the coefficient of determination, measures the proportion of variability in one variable that can be determined from its relationship with the other variable.

The higher the value of r2, the more of the variation in the dependent variable can be attributed to the independent variable(s), and therefore the better the relationship between the two variables is. Overall, the coefficient of determination is an important statistical measure that is used to evaluate the strength and fit of regression models. It allows researchers to determine how much of the variation seen in the dependent variable can be explained by the independent variable(s), which can help in making predictions and drawing conclusions from the data.

It represents the strength and direction of the correlation between two variables, helping to quantify their linear association. A higher r² value indicates a stronger relationship between the variables, while a value close to zero signifies a weak or no relationship.

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Answer:

A. 54 m^2

Step-by-step explanation:

You can do cross multiplication: \(\frac{4}{6}\)×\(\frac{x}{9}\)

4*9 = 6*x

36 = 6x

x = 6

That is the Width in m, so all you need to do is find the area!

Area = L * W

Area = 9 * 6

Area = 54

Answer:

Step-by-step explanation:

This is a trick question,  about the red marks again.   those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same.  That is  ,  D and E are equal

so set up your equations with that info

180 = 84 +2p

now use your algebra skillz to solve

180-84 / 2 = p

96/2 = p

48 = p

see??

The ordered pair which makes both inequalities true is: D. (3, 0).

Here, we have,

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

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complete question:

Which ordered pair makes both inequalities true?

y > –2x + 3

y < x – 2

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.

(0,0)

(0,–1)

(1,1)

(3,0)

Answer:

the square of the hypotenuse is 149 squared

Step-by-step explanation:

c= the square root of a^2+b^2=the square root of 7^2+10^2=12.20656

Answer:8 is the answer

Step-by-step explanation:

To determine the most appropriate type of statistical tool among box plot, histogram, confidence interval, test on one mean, test on two independent (unpaired) means, test on paired means, and linear regression.

Below are some guidelines to help determine the most appropriate statistical tool for different situations:

Box plot:

Histogram:

Confidence interval:

Test on one mean:

Test on two independent (unpaired) means:

Test on paired means:

Linear regression:

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The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.

Set 1: 12, 8, 10, 50

Set 2: 13, 9,8

To determine the mean for each set

Mean = totality of elements/number of elements

Mean of Set 1:

\($=\frac{12+8+10+50}{4}\)

\($=\frac{80}{4}=20$\)

Mean of Set 2:

\($=\frac{13+9+8}{3}\)

\($=\frac{30}{3}=10$\)

To determine the mean absolute deviation (MAD) of the data in each set.

M.A.D of Set 1:

\($=\frac{|12-20|+|8-20|+|10-20|+|50-20|}{4}\)

\($=\frac{8+12+10+30}{4}=\frac{60}{4}=15$$\)

M.A.D of Set 2:

\($=\frac{|13-10|+|9-10|+|8-10|}{3}\)

\($=\frac{3+1+2}{3}=\frac{6}{3}=2$\)

The Mean Absolute Deviation of Set 1 exists 13 more than the mean absolute deviation of Set 2.

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The right response is, "5 hexagons are made up of 15 pattern block trapezoids."

Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.  

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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The one possible simplified form of the expression is (1 + cos x) / sin²x.

To perform the addition or subtraction and use the fundamental identities to simplify the given expression, 3(1 + cos x) ÷ 3(1 - cos x),

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Answer:

Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

Straight Angle-A straight angle is 180 degrees. This is a straight angle.

Step-by-step explanation:

180 is a straight angle and 90 is a Right angle

The sets of data that  show the correct median is given as follows.

Correct Median:

9, 3, 6, 1, 4 (median = 4)

1, 6, 9 (median = 6)

​4. 9, 11, 13, 16, 20 (median = 12)

Incorrect Median:

2. 7.9, 11, 14, 76 (median = 76)

43, 46, 48, 52 (median = 48)

3, 10, 7 (median = 10)

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.

Arrange the data points from smallest to greatest to get the median. If the number of data points is odd, the median is the data point in the middle of the list. If the number of data points in the list is even, the median is the average of the two middle data points.

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Full Question:

Which sets of data show the correct media? Sort the tiles into their proper categories. 9, 3, 6, 1, 4 (median = 4) Correct Median Incorrect Median 4. 9, 11, 13, 16, 20 (median = 12) 1, 6, 9 (median = 6) 2. 7.9, 11, 14, 76 (median = 76) 43, 46, 48, 52 (median = 48) 3, 10, 7 (median = 10)​

Answer:

18%

Step-by-step explanation:

63/350 × 100 = 18

hope this helps