What is the value of x, if the average of 36, 40, x and 50 is 45?​

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:

Step-by-step explanation:

1. -10+18+6=8+6=14

2. -1+84=83

3. -2×(−6)2 +7=12×2+7=24+7=31

4. 50-(−6)2 +(−8)=50+12-8=62-8=54

5. (-2+2)× (−3)3=0× (−3)3=0

6. 30+8-42=38-42=-4

7. -9-2-1=-12

8. -32+6+6=-20

9. -10×3÷5+9=-30÷5+9=-6+9=3

10. -24÷ 8 + 33=-3+33=30

Solution:

Solve the system of equations to find the value of y.

        5x + 3y = 8

        2(5x + 3y = 8)

        10x + 6y = 16

Substitute the value of y into any equation to find the value of x.

Putting them in (x,y) form.

The absolute value of 10 is 10. The absolute value of 6 is six.

Answer: The difference is 4.

Step-by-step explanation: The absolute value of -10 is 10, and the absolute value of 6 is 6. If you subtracted 6 from 10 (10-6), you would get 4, and that is the difference.

Answer:

Step-by-step explanation:

for vertex

x-2=0 gives x=2

when x=2,y=4

vertex (2,4)

axis of symetry

x-2=0

Answer:

x = 1.2

Step-by-step explanation:

\(\frac{10x-3}{3}\) + \(\frac{5x+2}{4}\) = 5

You would want to make the denominators of both fractions the same first. Their lowest common multiple is 12, so we shall make the denominators 12 by multiplying the first fraction by 4 and the second fraction by 3.

\(\frac{4(10x-3)}{12}\) + \(\frac{3(5x+2)}{12}\) = 5

Simplify.

\(\frac{40x-12}{12}\) + \(\frac{15x+6}{12}\) = 5

Now we can combine both fractions together since their denominator is the same.

\(\frac{40x-12+15x+6}{12}\) = 5

Simplify.

\(\frac{55x-6}{12}\) = 5

Isolate 55x-6.

55x-6 = 5 × 12

Simplify.

55x-6 = 60

Isolate the 55x.

55x = 60+6

Simplify.

55x = 66

Find x.

x = \(\frac{66}{55}\)

Simplify.

x = 1.2  

Answer:

Area of the triangle WXY = 111.8 mm²

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

\(\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinX}}{\text{WY}}=\frac{\text{SinY}}{\text{WX}}\)

Since m∠W + m∠X + m∠Y = 180°

m∠W + 26° + 130° = 180°

m∠W = 180° - 156°

m∠W = 24°

\(\frac{\text{Sin24}}{\text{XY}}=\frac{\text{Sin130}}{31}=\frac{\text{Sin26}}{\text{WX}}\)

\(\frac{\text{Sin24}}{\text{XY}}=\frac{\text{Sin130}}{31}\)

XY = \(\frac{31\times (\text{Sin24})}{\text{Sin130}}\)

XY = 16.4597

     ≈ 16.4597 mm

Area of the triangle = \(\frac{1}{2}(\text{XY})(\text{WY})\text{SinY}\)

                                 = \(\frac{1}{2}(16.4597)(31)\text{Sin26}\)

                                 = 111.83 mm²

                                 ≈ 111.8 mm²

Therefore, area of the triangle WXY = 111.8 mm²

Answer:

A(-4.5,-3), B(0,2), C(4,1)

Step-by-step explanation:

u just look at their positoions and u go to left side or right side first, then up or down.

left and down are negative.

right and up are positive.

Answer:

\(2m=45\)

Step-by-step explanation:

He earned twice as much washing cars, which is \(2m\). This is given to be equal to 45.

The rate of grapes said by Emika i.e., 0.4 pounds per dollar is the correct rate.

We know that the rate is nothing but the ratio of two different quantities which have different units.

In this question, we have been given two pounds of grapes cost $5

First we find the rate in pounds per dollar.

2 pounds of grapes = $5

As rate is the ratio of two different quantities, we find the ratio (pounds per dollar).

= 2 pounds /5 dollars

= (2/5) pounds per dollar

= 0.4 pounds per dollar              .......(1)

This means the rate of grapes is 0.4 pounds per dollar.

In this question, we have been given  Jordan says that's 2.5 pounds per dollar and Emika says it's 0.4 pounds per dollar.

From (1), we can clearly say that Emika is correct.

Therefore, the rate of grapes said by Emika i.e., 0.4 pounds per dollar is the correct rate.

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The composite function F(G(H(x))) depends on G(H(x)), option D is correct.

A function depends on its argument (the stuff in parentheses after the function name).

The argument of function F in F(G(H(x))) is G(H(x)).

F(G(H(x))) depends on G(H(x))

Answer choices A and C do not make any statement about the given composition.

Answer choice B shows a composition (H(G(x))) that has no relation to the argument of function F.

Hence, the composite function F(G(H(x))) depends on G(H(x)).

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Which of the following is true of the composition F(G(H(X)))?

A. The function G(F(H(x))) depends on G(H(x)).

B. The function F(G(H(x))) depends on H(G(x)).

C. The function H(G(F(x))) depends on G(F(x)).

D. The function F(G(H(x))) depends on G(H(x)).

Therefore , the solution of the given problem of triangle comes out to be  b) True. The triangle's symmetry line is represented by the dashed line.

A triangular is a polygon because it has two or even more additional parts. It has a straightforward rectangle shape. A parallelogram with only sides A, B, as well as C is a triangle. When the sides are not exactly collinear, Euclidean geometry produces a single plane as compared to a cube. If a shape has three edges and three angles, it is said to be triangular. The intersection of a quadrilateral's three edges is known as an angle. The sum of a triangle's edges is 180 degrees.

Here,

a) Incorrect. Triangle ABC is not scalene because its two longest sides (AB and AC) are equivalent in length.

b) True. The triangle's symmetry line is represented by the dashed line.

c) Untrue. Triangle ABC is not right-angled because none of its edges are right angles.

d) Untrue. Although sides AB and AC of the triangle ABC are identical in length, side BC has a different length, making the triangle ABC not isosceles.

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Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .

Slope is the rate of change in the dependent variable with respect to the independent variable.

For an equation of line of the type - y= mx +c , the slope is given by the m value.

Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.

Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values,  the lines have a flatter slope and do not have a steep nature.

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Answer:

help on what like whats ur question

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

need more letters

Answer:

Step-by-step explanation:

Answer:

With just sales taxes its $480 in taxes

Step-by-step explanation:

$12,000 x .04 = 480

Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

It is likely that this sample could be a random sample from a population whose mean is known to be 113.5.

A sample of 13 children has a mean IQ of 112 and a standard deviation of 15.

The population means is known to be 113.5.

To find out whether the given sample is a random sample from the population, we will conduct a hypothesis test.

Null hypothesis:H0: μ = 113.5 (sample mean is not significantly different from the population mean)

Alternative hypothesis:

Ha: μ ≠ 113.5 (sample mean is significantly different from the population mean)We will use a two-tailed t-test at a 5% level of significance.

The formula for t-score is:t-score = (sample mean - population mean) / (standard deviation / √sample size)Putting values in the formula,t-score = (112 - 113.5) / (15 / √13)t-score = -1.5 / 4.135t-score = -0.3627

Critical values for a two-tailed t-test at 5% level of significance and degrees of freedom 12 are ±2.178. Since -0.3627 lies between the critical values, we accept the null hypothesis.

Hence, it is likely that this sample could be a random sample from a population whose mean is known to be 113.5.

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The solution of integration is,

∫√(5-4x-4x²)dx = \(- \frac{1}{2} (5 - 4x - 4x^2)^{- 1/2} + C\)

where C is the constant of integration.

We have to given that,

An integral is,

⇒∫ √(5 - 4x - 4x²) dx

According to the table of integrals, we have:

= ∫√(5 - 4x - 4x²) dx

= \(\frac{1}{2} \int\limits {(5 - x - 4x^2)^{- 1/2} } \, d(5 - 4x - 4x^2)\)

= \(- \frac{1}{2} (5 - 4x - 4x^2)^{- 1/2} + C\)

Therefore,

∫√(5-4x-4x²)dx = \(- \frac{1}{2} (5 - 4x - 4x^2)^{- 1/2} + C\)

where C is the constant of integration.

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Answer:

Given the value of the trigonometric function, find the value of the other 5 ... A 25-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an angle of approximately 75° with the ground. a. ... and use a variable to indicate the height of the balloon.

Step-by-step explanation:

The graph that could represent the polynomial function f(x) with a degree of 3 and roots at -2, 0, and 3 is a graph with the following characteristics: it intersects the x-axis at -2, 0, and 3, and it exhibits a change in concavity at least once.

Considering these characteristics, the f(x) graph would start below the x-axis between -2 and 0, intersect the x-axis at 0, rise above the x-axis and reach a maximum or minimum point, then descend back to the x-axis and intersect it at 3. This shape indicates a change in concavity.

The specific shape of the graph could be a "U" shape if the coefficient of the leading term is positive, meaning the polynomial has a minimum at the turning point. Alternatively, it could be an inverted "U" shape if the leading coefficient is negative, indicating a maximum at the turning point.

In summary, the graph that represents f(x) would show three x-intercepts at -2, 0, and 3, and exhibit a change in concavity. The specific shape would depend on the leading coefficient of the polynomial.

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Nevertheless, it appears that the question is not fully formed, the appropriate one should be:

Answer:

Step-by-step explanation:

\(h(t)=-16t^2+v_0t+h_0\) where

h(t) is the height of the ball after a certain amount of time has gone by,

-16t² is the pull of gravity in ft/s/s,

v₀t is the initial upwards velocity, and

h₀ is the height from which the ball was initially thrown. Our equation is then, filling in the info in the correct places:

\(h(t)=-16t^2+128t+4\) where 128 is the given initial velocity and 4 is the number of feet from which the ball was initially launched.

The Pythagoras theorem is solved and the value of x of the figure is x = 12.80 units

Given data ,

Let the figure be represented as A

Now , let the line segment BC be the middle line which separates the figure into a right triangle and a rectangle

where ΔABC is a right triangle

Now , the measure of AB = 8 units

The measure of BC = 10 units

So , the measure of the hypotenuse AC = x is given by

From the Pythagoras Theorem , The hypotenuse² = base² + height²

AC = √ ( AB )² + ( BC )²

AC = √ ( 10 )² + ( 8 )²

AC = √( 100 + 64 )

AC = √164

So , the value of x = 12.80 units

Hence , the triangle is solved and x = 12.80 units

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Answer:

[x-82]{≤18}

Step-by-step explanation:

The required way to write the statement using absolute value notation is, | x - 82 | ≤ 18.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
This means that the absolute value of the difference between the score x and 82 is less than or equal to 18. In other words, if the score is within 18 points of 82 (above or below), then the absolute value of the difference between the score and 82 will be less than or equal to 18, and the student will pass the test.

Thus, the required way to write the statement using absolute value notation is, | x - 82 | ≤ 18.

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The mean birth weight of these 31 babies is 6.192.

In the given question, we have to find the mean birth weight of these 31 babies.

From the given data:

Number of babies      Birth Weight(in pounds)        Total Weight(Pounds)

            5                                      4                                      5*4 = 20

            10                                     6                                     10*6 = 60

            16                                     7                                      16*7 = 112

Now, The mean birth weight = Total Weight of all babies/Number of babies

The mean birth weight = (20+60+112)/31

The mean birth weight = 192/31

The mean birth weight = 6.192

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The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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Answer:

The answer is 60

Step-by-step explanation:

2x5x6

rearrange by the commutative property

(2x5)x6

Calculate

10x6

calculate the product or quotient to 60

hence the answer is 60

Hoped this helped:D

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.

         She wants to take selfies with what she has, and the question asks how many different selfies can she take.

    Let's solve the question below:

         The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )

          As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.

          We can use the combination formula to calculate the total number of ways:

            ₇C₂ = \((7 * 6)/2\)

                   = 21

  Hence, Alison can take \(5 * 6 * 21\) = 630 different selfies with a hat, a bracelet, and two cats.

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The probability of selecting three marbles of the same color from the jar is 54/990, which can be simplified to 3/55

To calculate the probability of selecting three marbles of the same color, we need to consider each color separately.

The probability of selecting three red marbles can be calculated as the product of selecting the first red marble (4/11), the second red marble (3/10), and the third red marble (2/9) without replacement. This gives us (4/11) * (3/10) * (2/9) = 24/990.

Similarly, the probability of selecting three blue marbles is (3/11) * (2/10) * (1/9) = 6/990.

Lastly, the probability of selecting three green marbles is (4/11) * (3/10) * (2/9) = 24/990.

Adding up the probabilities for each color, we have (24/990) + (6/990) + (24/990) = 54/990.

Therefore, the probability of selecting three marbles of the same color from the jar is 54/990, which can be simplified to 3/55.

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a) The fire is out of the reach of helicopter 1.

b) Only helicopter 3 can be sent to stop the fire.

We have both the location of the fire and the initial position of the three helicopters set on a Cartesian plane. The locations are listed below:

The distance is found by the straight line distance formula, an application of Pythagorean theorem:

a) \(d = \sqrt{[1 - (- 3)]^{2}+[4-(-5)]^{2}}\)

\(d = \sqrt{4^{2}+9^{2}}\)

\(d = \sqrt{97}\)

d ≈ 9.849

The fire is out of the reach of helicopter 1.

b) Helicopter 2

\(d = \sqrt{[- 2 - (- 3)]^{2}+[3 - (- 5)]^{2}}\)

\(d = \sqrt{1^{2}+8^{2}}\)

\(d = \sqrt{65}\)

d ≈ 8.062

Helicopter 3

\(d = \sqrt{[4 - (- 3)]^{2}+ [- 2 - (-5)]^{2}}\)

\(d = \sqrt{7^{2}+3^{2}}\)

\(d = \sqrt{58}\)

d ≈ 7.616

Only helicopter 3 can be sent to stop the fire.

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Option: A, B, C are correct. Table A, Table B, Table C are represents the value of function.

A function is "an expression, or rule or law that defines relationship between  one variable(independent variable) and another variable(dependent variable)".

According to the question,

In a function, there is one value of 'y' for every value of 'x' . In table A  

Input (x)        1            2         3            4

Output(y)     12          15        18          21

In this table A for every value of 'x' we have value 'y' each. Therefore, Table A is function.        

In a function, there is one value of 'y' for every value of 'x' . In table B  

Input (x)        1            7         7            -8

Output(y)     22          -30        18           2

In this table B for every value of 'x' we have value 'y' each. Therefore, Table B is function.        

In a function, there is one value of 'y' for every value of 'x' . In table C

Input (x)        1             1            1             1

Output(y)     -2          -5        -12           1

In this table C for every value of 'x' we have value 'y' each. Therefore, Table C is function.        

In a function, there is one value of 'y' for every value of 'x' . In table D

Input (x)        1             3            5             7

Output(y)     12         12             12           12

In this table C, for every value of 'x' we have same value 'y' each. Therefore, Table D is not function.        

Hence, Option: A, B, C are correct. Table A, Table B, Table C are represents the value of function and Table D is not function.

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