Find the value of x. 115 105 x 139 137 x 116

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

We have a point (4,-9) it moves to (9,-14)

(4+x = 9, -9+y= -14)

x = 9-4

x = 5

y = -14 +9

y = -5

We are moving to the right 5 and down 5

We want to move the point (-9,-8) exactly the same way

(-9+5, -8-5)

(-4, -13)

(-4, -13)

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

12

Step-by-step explanation:

Given:

-8

+20°

Solution:

-8+20 = 12

Therefore the answer is 12

Answer:

50%(1/2) I geuss

Step-by-step explanation:

1/5=0.2=20%

20%+30%=50%

50%=1/2(or 2/4,or 3/6)

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Answer: x=11

Explanation: See below!

I hope this helped!

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Answer:

Step-by-step explanation:

\(\sqrt{x - 2} + 8 = x\\ \sqrt{x - 2} = x - 8\\x - 2 = (x - 8)^2\\x - 2 = x^2 - 16x + 64\\x^2 - 17x + 66 = 0\\(x^2 - 11x) - (6x - 66) = 0\\x(x - 11) - 6(x - 11) = 0\\(x - 6)(x - 11) = 0\\x - 6 = 6 >> x = 6\\x - 11 = 0 >> x = 11\)

The value of x in the angles is 19.

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, let's find the value of x in the intersecting lines.

Hence,

7x - 8 = 6x + 11 (vertically opposite angles)

Vertically opposite angles are congruent and they share the same vertex point.

Hence,

7x - 8 = 6x + 11

subtract 6x from both sides of the equation

7x - 8 = 6x + 11

7x - 6x - 8 = 6x - 6x + 11

x - 8 = 11

add 8 to both sides of the equation

x - 8 + 8 = 11 + 8

x = 19

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The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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Given:

Nick has x toy race cars. This is one-third of what Bob has.

So, the number of Nick toys = one-third of what Bob has.

Let the Bob has y toys

So, we can write the following expression:

Solve for y, multiply both sides by (3):

So, the answer will be:

Bob has (3x) toy race cars.

Answer: 5/6

Step-by-step explanation:

Answer:

6 divided by 8 is 3/4 (.78)

2/3 divided by 8 is 1/12 (0.083)

6 2/3 divided by 8 is 5/6 (0.83)

There should be two characteristics that we look at the numbers when grouping them.

The first one is their signal, if they are positive, or negative.

The second one is if they are decimal, or not.

Looking at these characteristics, we can see the sets in which they belong.

The area of the rectangle, triangles 1, and 2, and 3 are 128, 32, 24, and 16 respectively.

The formula for calculating the area of a rectangle is A = l * w

A = l w, where l is the rectangle's length and w is its width.

Triangle Area Formula: The triangle area formula is A = 1/2 * b * h

A = 1/2 * b * h, where b is the triangle's base and h is the triangle's height.

The area of rectangle = length * width = 16 * 8 = 128

The area of triangle 1 = \(\frac{1}{2}\) * base *height =  \(\frac{1}{2}\) * 4 * 16 = 32

The area of triangle 2 = \(\frac{1}{2}\) * base *height =  \(\frac{1}{2}\) * 4 * 12 = 24

The area of triangle 3 = \(\frac{1}{2}\) * base *height =  \(\frac{1}{2}\) * 4 * 8 = 16

Subtract the area of the triangles from the area of the rectangle.

128 - (32 + 24 + 16) =56

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Answer:

Step-by-step explanation:

10 : 200

Both have table of 10 in common

1 : 20

Answer:

x=12°

Step-by-step explanation:

property of triangles:

4x-2=180°-30°-100°=50°

\(4x+2=50\)

\(4x=50-2=48\)

\(x=\frac{48}{4} =12^{0}\)

I hope this help you

Perpendicular lines always come together at a 90-degree angle.

What is perpendicular?

A perpendicular is a straight line in mathematics that forms a right angle (90 degrees) with another line. In other words, two lines are perpendicular to one another if they connect at a right angle.

A perfect 90° (degrees) angle, or a quarter turn, is referred to as a right angle in geometry and trigonometry. The angles next to each other are said to be at right angles if a ray is positioned so that its terminus is on a line and they are also equal. The word is a calque of the Latin angelus rectus, where rectus means "upright" and refers to a vertical basis line that is perpendicular to a horizontal baseline.

As the definition suggests the perpendicular lines will intersect with each other at a right angle.

Perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Hence, Perpendicular lines always come together at a 90-degree angle.

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Answer:

The answers are correct.

Step-by-step explanation:

Please rate the answer and like it if it helped.

a. Apples:  Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes: The amount of grapes that Lily has is not given

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.

a. Apples:

2½ × 4 cups = 10 cups

Therefore, Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons:

2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups

Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes:

The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

$330

Step-by-step explanation:

The Value of interest will she par is,

⇒ $ 330

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Now,

According to the table;

For a time of 12 months and at a rate of 15%,

The interest per $100 is, $15.

Therefore, for a principal of $2200 the interest will be;

⇒ $ (2200/100) × 15

⇒ $ 330

Thus, Value of interest will she par is,

⇒ $ 330

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The function f(x) opens upwards, while g(x) opens downwards, and both functions pass through (0, 0), so the correct option is d.

Here we have the two functions:

\(f(x) = 2x^2\)

\(g(x) = -2x^2\)

Notice tat g(x) = -f(x), which means that g(x) is a reflection across the x-axis of f(x).

The graphs of these functions can be seen below, the one that opens upwards is f(x), the one that opens downwards is g(x).

Then we can conclude that the true statement is:

"f opens upward; g opens downward; both pass through (0, 0)"

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Answer:

1

Step-by-step explanation:

DO DA MATH

Answer: The required sample size = 97

Step-by-step explanation:

If prior population standard deviation is known, then the minimum sample size can be computed as:

\(n=(\frac{z^*\times\sigma}{E})^2\)

,where z* = critical z-value

\(\sigma\) = population standard deviation

E = Margin of error

As per given,

\(\sigma=20,\ E= 4\)

Critical value for 95% confidence = 1.96

\(n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97\)

Hence, the required sample size = 97

The value \(x\approx 3.8\) maximizes angle APB.

In this question we need to determine the maximum possible angle APB, which can be determined by definition of dot product, that is to say:

\(\overrightarrow{PA}\,\bullet\,\overrightarrow{PB} = \|\overrightarrow{PA}\|\|\overrightarrow{PB}\|\cdot \cos \theta\) (1)

Where:

The magnitudes of each are respectively defined by line segment length formula: \(A(x,y) = (3,1)\), \(B(x,y) = (5,3)\), \(P(x, y) = (x, 0)\)

\(\overrightarrow{PA} = \sqrt{(3-x)^{2}+1^{2}}\)

\(\overrightarrow{PA} = \sqrt{10-6\cdot x +x^{2}}\) (2)

\(\overrightarrow{PB} = \sqrt{(5-x)^{2}+3^{2}}\)

\(\overrightarrow{PB} = \sqrt{34-10\cdot x +x^{2}}\) (3)

By (1), (2) and (3) we have the following expression:

\((3-x)\cdot (5-x) +3 = \sqrt{10-6\cdot x + x^{2}}\cdot \sqrt{34-10\cdot x + x^{2}}\)

\(15-8\cdot x +x^{2} = \sqrt{(10-6\cdot x +x^{2})\cdot (34-10\cdot x + x^{2})}\cdot \cos \theta\)

\(\theta = \cos^{-1} \frac{15-8\cdot x +x^{2}}{\sqrt{(10-6\cdot x + x^{2})\cdot (34-10\cdot x +x^{2})}}\) (4)

From geometry we know that sum of internal angles in triangles equals 180°, which means that angle APB must meet this condition:

\(0 < \angle APB < 180\)

In addition, we know that cosine function is a bounded function between -1 and 1, where \(\theta = 0^{\circ} \to 1\), \(\theta = 90^{\circ}\to 0\), \(\theta = 180^{\circ}\to -1\)

A quick approach consists in graphing (4) against x. Outcome is described in the second image attached. By direct inspection, we see that \(x\approx 3.8\) maximizes angle APB.

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Answer:

2+2

3+1

1+1+1+1

2+1+1

4+0

Answer:

To find f(50), we need to substitute 50 for m in the function f(m) = (3/5)m + 5:

f(50) = (3/5)(50) + 5

f(50) = 30 + 5

f(50) = 35

Therefore, f(50) is equal to 35.

The value of f for m equals 50 will be 35.

This is a basic arithmetic problem where we just need to put the values given in the question and solve using the PEMDAS rule

given, m = 50

problem, f(m) = 3/5 m + 5

putting the value of m in the problem we get

f(50) = 3/5 (50) + 5

so multiplying 3 (the numerator) by 50, we get:

f(50) = 150/5 + 5

then we divide 150 by 5 and we get:

f(50) = 30 + 5

then by adding 30 and 5 we get the answer:

f(50) = 35

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Answer:

15 hours

Step-by-step explanation:

9 lawns is 3 times as much as 3 lawns

it will take 3 times as long

3 * 5 hours = 15 hours

Answer:

I think the answer would be 125 iPhones.

Step-by-step explanation:

So basically the question is what is 2.5% of 5000.

Just multiply 5000 * 0.025 = 125

Answer:

Y = 5/2x - 22

Step-by-step explanation:

The equation of the line with slope 5/2 through the point (8, -2) in slope intercept will be y = (5/2)x – 22.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope is 5/2, then the equation will be

y = (5/2) x + c

The equation of line passing through (8, -2).

-2 = (5/2)(8) + c

-2 = 20 + c

c = -22

Then the equation will be

y = (5/2)x – 22

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Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

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