I would really appreciate some help.
Evaluate each expression as a single exponent.

Answer:

Let's start first with sin(x+y) :

Now with sin(x)+sin(y) :

We can see that both expressions are far away from being equal

We can prove the given expression, sin(x + y) ≠ sin x + sin y by taking the value of x and y as 90 respectively.

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle. The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

It is given that the expression is"sin(x + y) sin(x+y)

Suppose, x=0 and y=90

We have to prove the following expression,

sin(x + y) ≠ sin x + sin y

Left-hand side,

=sin(x + y)

=sin(90+90)

=sin 180

=0

Right-hand side,

=sin x + sin y

=sin90+sin90

=1+1

=2

As a result,

sin(x + y) ≠ sin x + sin y

Thus, we can prove the given expression, sin(x + y) ≠ sin x + sin y by taking the value of x and y as 90 respectively.

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Answer:

\(f(-1) = 3\)

Step-by-step explanation:

\(f(x) = -x^{2} - 4x\)

at x=-1

\(f(-1) = -(-1)^{2} - 4(-1)\)

\(f(-1) = -1 + 4\)

\(f(-1) = 3\)

The difference between the greatest distance ridden and the least distance ridden is 4 / 5 miles .

The difference between the distance that was greatest ridden by the children on their unicycles and the least distance can be found by the formula :

= Greatest distance ridden - Least distance ridden

Greatest distance ridden = 1 mile

Least distance ridden = 1 / 5 miles

The difference is :

= 1 - 1 / 5

= 4 / 5 miles

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The question is:

What is the difference between the greatest distance ridden and the least distance ridden?

Answer:  57 + 58 +59 = 174

Step-by-step explanation:

x-1 + x + x+1 = N

The +1 and -1 cancel, so it becomes N/3 = x

174/3 = 58   Subtract 1 and add 1 to finf the preceding and following integers.

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A kilogram is the same as 1,000 grams.

HTH :)

Answer:

\( - \frac{7}{3} \)

Step-by-step explanation:

Y = mX + c

, since ( -7X = 3y + 12)

, then -3y = 7x + 12

, then y=

\( - \frac{7}{3} x - 4\)

Answer:

-7/3

Step-by-step explanation:-7x divided by 12 plus -3y would give you -7/3

The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;

2x + 5y ≤ 10 (Equation 1)

10x + 6y ≤ 42 (Equation 2)

We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.

a. x= 6, y = 2

In Equation 1:2x + 5y = 2(6) + 5(2) = 17

In Equation 2:10x + 6y = 10(6) + 6(2) = 66

Thus, this point does not satisfy equations 1 and 2 simultaneously.

b. x=6, y=4

In Equation 1:2x + 5y = 2(6) + 5(4) = 28

In Equation 2:10x + 6y = 10(6) + 6(4) = 72

Thus, this point does not satisfy equations 1 and 2 simultaneously.

c. x=2, y = 1

In Equation 1:2x + 5y = 2(2) + 5(1) = 9

In Equation 2:10x + 6y = 10(2) + 6(1) = 26

Thus, this point does not satisfy equations 1 and 2 simultaneously.

d. x=2, y = 6

In Equation 1:2x + 5y = 2(2) + 5(6) = 32

In Equation 2:10x + 6y = 10(2) + 6(6) = 52

Thus, this point does not satisfy equations 1 and 2 simultaneously.

e. x = 5, y = 0

In Equation 1:2x + 5y = 2(5) + 5(0) = 10

In Equation 2:10x + 6y = 10(5) + 6(0) = 50

Thus, this point satisfies both equations simultaneously.

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Answer:

17/2 units^3

Explanation:

The volume of the rectangular prism is given by

Volume = width * height* length

Now we are already given that

width * height = 2 1/8 units

Therefore, our equation for volume becomes

Volume = 2 1/ 8* length

since length = 4 units, we have

Volume = 2 1/8 * 4

Volume = 17 /2 units

which is our answer!

Answer:

They would get a haircut on the same day in 72 days.

Step-by-step explanation:

Use least common multiple

3 l     9 /  24 / 12

4 l     3 /   8 /  4

____________

        3  /  2  /  1

LCM: 3*4*3*2*1 = 72

Answer:

m=-1/3

Step-by-step explanation:

The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!

Answer:  the slope is -0.33...   The does means that 3 is repeating.

Step-by-step explanation:

First we will convert the equation into slope intercept form, which is the same way of solving for y in the equation.

1.5x + 4.5y = 18     Solve for y by first subtracting 1.5x from both sides

-1.5x               -1.5x

4.5y  = 18 - 1.5x     Now divide both sides by 4.5

y= 4- 0.33x

y= -0.33x + 4    Now the slope is the coefficient of the variable x which is the number that comes after the variable.

In this case, the slope is -0.33...

The probability of contracting an illness is 0.0475.

According to our question-

D: The patient has the illness

ND: the individual without the disease

TD: The results of the test show the patient has the illness.

P(D) will therefore equal 0.001 since only 0.001 of the population is affected by the disease.

P(ND) = 0.991

Because the test successfully identifies a patient with the condition 99% of the time, P(TD/D) = 0.99.

P(TD/ND) = 0.02 because the test indicates that a healthy person contracts the disease 2% of the time.

We are seeking for P(D|TD) and P(ND|TD), respectively.

According to the Bayes formula, 0.00099/0.00099+0.01982 = 0.00099/0.02081 = 0.0475 = (0.99*0.001)/(0.99*0.001)+(0.02*0.991)

And, \s = 1 - \s = 1 - 0.0475 \s = 0.9525

Therefore,

The likelihood of having an illness is 0.0475.

The likelihood of not having any sick people is 0.9525.

Hence, The probability of contracting an illness is 0.0475.

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Step-by-step explanation:

you should give points to x and find y

and then you will have some points of x and y

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8

Answer:

0

Step-by-step explanation:

Answer:

The answer is A.

Card I’s balance increased by $53.16 more than Card H’s balance.

Step-by-step explanation:

A = (P)(1 + R/N) ^ n multiplied by t

Unfortunately can't explain as much as I want because I'm taking the test now. But I just solved this one!

Answer:

It is 1/3

Step-by-step explanation:

can i have brainly?

Answer:

m = -16

Step-by-step explanation:

Subtract 4 from both sides to get m = -16.

Answer:

M= -16

Step-by-step explanation:Subtract 4 from both sides of the equation,then subtract the numbers                                                                                            

Answer: 50

Step-by-step explanation: 12 1/2 times 4 is 50

The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

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The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Answer:

x = (b-c)/a

Step-by-step explanation:

ax + b = c

Subtract b from each side

ax+b-b = c-b

ax = b-c

Divide by a

ax/a = (b-c)/a

x = (b-c)/a

Answer:

x= (C-B)A

Step-by-step explanation:

Donna could order 24 different ice cream desserts.

Since Donna must order a size, flavor, and topping, there are 3 choices for each of those.

Using the multiplication rule of counting (also known as the fundamental counting principle), the number of ways Donna can order an ice cream dessert is found by multiplying the number of choices for each category.

Therefore, the number of different ice cream desserts Donna can order is:3 (sizes) × 8 (flavors) × 1 (topping) = 24So, Donna can order 24 different ice cream desserts.

Summary:Donna can order 24 different ice cream desserts by multiplying the number of choices for each category (size, flavor, and topping). Therefore, 3 (sizes) × 8 (flavors) × 1 (topping) = 24.

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Answer:

The zeros of the function are the numbers when put in the function will make it equal to zero

let y = 0

2x² +5x +2 = 0

(x + 2)(2x + 1) = 0

x = 2 , x = -1/2

The answer is option c.

Step-by-step explanation:

x = 2,x = -1/2

=)))))))))

The value of tan F in this right-angled triangle is approximately 3.42857.

In the right-angled triangle DEF, with a right angle at E, we are given the length of the perpendicular DE, which is 24 cm, and the length of the base EF, which is 7 cm.

To find the value of tan F, we can use the tangent function, which is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

In this case, F is the angle opposite to side DE, and the adjacent side is EF. So, we can write:

tan F = DE / EF

Substituting the given values, we have:

tan F = 24 cm / 7 cm

Now, we can divide 24 by 7:

tan F ≈ 3.42857

So, the value of tan F in this right-angled triangle is approximately 3.42857.

This means that the ratio of the length of the perpendicular side DE to the length of the base side EF is approximately 3.42857. It indicates how steep or inclined the line EF is with respect to the line DE in the triangle DEF.

Remember that tangent is a trigonometric function that relates the angles of a right triangle to the lengths of its sides. In this case, we used it to find the ratio of the sides in the triangle and determine the value of tan F.

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Answer:

\( \sf \: 4x + 3 \)

Step-by-step explanation:

Given expression,

→ (-3x + 5) - (-7x + 2)

Let's simplify the expression,

→ (-3x + 5) - (-7x + 2)

→ -3x + 5 + 7x - 2

→ (-3x + 7x) + (5 - 2)

→ (4x) + (3)

→ 4x + 3

Hence, the answer is 4x + 3.

10x +7

because minus and minus equals plus 7x + 3x equals 10x and 2 plus 5 is 7

No inferences can be made without performing a hypothesis test

A hypothesis test is a statistical test used to determine whether a specific hypothesis about a population parameter is supported by the data. In this test, a null hypothesis (H0) is stated, which is usually the assumption that the population parameter is equal to a specific value or falls within a certain range. An alternative hypothesis (Ha) is also stated, which is usually the opposite of the null hypothesis.

The next step is to collect data and use statistical techniques to calculate a test statistic, which measures how far the sample data deviates from the null hypothesis. The test statistic is compared to a critical value in a probability distribution, such as a t-distribution or z-distribution, which is determined based on the level of significance (alpha) and the degrees of freedom

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Full Question: what inferences about the relation between income and type of oven usage in population may be drawn from the data above?

Table attached

Answer:

x = 77, y = 63

Step-by-step explanation:

x - 5 = 72 ( corresponding angles )

x = 77

The 3 angles on the straight line sum to 180°, that is

x - 5 + 51 + y - 6 = 180, that is

72 + 51 + y - 6 = 180

117 + y = 180 ( subtract 117 from both sides )

y = 63

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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