3. 40% of x is 35. Write an equation. Then use your equation to find x.​

Answer:

circle=6, triangle=2, star=8, square=4

Step-by-step explanation:

6+2=8

6-2=4

8+4=12

8-4=4

4+4=8

Answer:

the answer is 10

Step-by-step explanation:

*please give me brainliest, i only need four more*

Answer:

-10

I did the math

(-4)-6

Answer:

(0,-7)

Step-by-step explanation:

Factor out the x^2 and the 7x.

x(x+7)

Do the zero factor

x = 0

x = -7

Answer:

that sounds nice. Not sure what the question or answers are tho-:)

Step-by-step explanation:

As per the binomial distribution, the probability that 6 out of 10 random high school students own a personal media player is 4%.

Binomial distribution:

The general formula to calculate the binomial distribution is written as,

P = aCx pˣ (1 - p)ᵃ⁻ˣ

Where,

x = Total number of successful trails

a = Total number of events

p = Probability of success

1 – p = Probability of failure

nCr = [n!/r!(n−r)]!

Given,

According to a recent survey, 85% of high school students own a personal media player.

Here we need to find the probability that 6 out of 10 random high school students own a personal media player.

While we looking into the given question,

Total number of student = 10

Success rate = 6

Probability percentage = 85%

When we convert this into decimal then we get the probability as 0.85.

Now, according to the binomial distribution, Substituting in values for this problem, n=10, p=0.85, and X=6 on the formula, then we get,

=> P = [10!/6!4!] x (0.85)⁶ x(1- 0.85)¹⁰⁻⁶

When we simplify this one then we get the probability as,

=> P = 0.04

When we convert this into percentage, then we get the probability as 4%.

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Answer:

Part A) plot 1 and -2.5.

B) The opposite of 2 is -2. The only number that has its own opposite is 0. The first statement is false.

The opposite of 1.5 is -1.5, so the opposite of the opposite of 1.5 is equal to the opposite of -1.5, which is 1.5. The second statement is true.

Hope this helps sorry for not answering earlier

Answer:

The answer is a.) $49,000

Step-by-step explanation:

i just took the test!!

Given that  the company estimates the probability that the new can opener will be will be successful is 5/8. If it is successful, it would be able to make $200,000. The company would make nothing if it were unsuccessful. The development costs for the can opener are $76,000. The expected value is $49000.

Expected value is the return you can expect for some kind of action.

The formula for the Expected Value is: ΣX.P(X) .

The amount earned by the company if the new can opener is successful = Revenue of the company - amount invested = $200,000 - $76,000 = $124,000

Probability that the new can opener will be successful = 5/8

Amount earned/ lost if the new can opener is not successful = $0

Probability that the new can opener will not be successful = 1 – 5/8 = 3/8

Expected value = amount earned if the new can opener is successful * Probability that the new can opener will be successful + Amount earned/ lost if the new can opener is not successful * Probability that the new can opener will not be successful

= 124,000 * 5/8 + 0 * 3/8

= $49000

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Step-by-step explanation:

Given the expression

\(-3m - [2m + (5 - m)] + 7\)

Step one

Firstly we have to open the inner bracket we have

\(-3m - [2m + 5 - m] + 7\)

Step two

we proceed further by opening up the next bracket we have

\(-3m - 2m -5 +m+ 7\)

Step three

we then have to collect like terms of m and rearrange.

\(=-3m - 2m+m -5+ 7\\=-4m+2\\=2-4m\)

A test of significance is used to draw inferences about the population based on a sample and assess the significance of the observed effect.

A test of significance helps in answering the question, "Is the observed effect due to chance?" In statistical terms, it determines whether the difference between the sample mean and population mean is statistically significant or just a result of random sampling error. A test of significance helps in identifying whether the difference observed in the sample is large enough to conclude that the effect is real and not just a chance occurrence.

It calculates the probability of obtaining such a difference if the null hypothesis (no difference) is true. If this probability is less than the predetermined significance level, we reject the null hypothesis and accept that the effect is statistically significant. Therefore, a test of significance is used to draw inferences about the population based on a sample and assess the significance of the observed effect.

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===========================================================

Explanation:

The mean is found by adding up all of the values and dividing by n, where n is the number of values in the set.

In this case, we have n = 7 values here. We count (x+1) as well since x is a placeholder for a number, which makes (x+1) also a placeholder in a sense.

As for what replaces x, we're not sure yet but we can use algebra to solve.

Lets add up all of the values given except for the "5" at the end. That 5 is the mean which is not part of the data set.

Adding up those values mentioned gives:

4+6+4+7+(x+1)+8+2 = x+32

Then divide this over n = 7 to get the mean 5

(x+32)/n = mean

(x+32)/7 = 5

-----------------------------

Let's isolate x

(x+32)/7 = 5

x+32 = 7*5

x+32 = 35

x = 35-32

x = 3

If x = 3, then x+1 = 3+1 = 4

So the (x+1) is being a placeholder for the number 4.

In other words, we'll replace the (x+1) with 4.

The data set of

4,6,4,7,(x+1),8,2

updates to

4,6,4,7,4,8,2

-----------------------------

We'll get to the median in a moment, but first we need to check if we have the correct replacement for (x+1)

Add up the values in the set {4,6,4,7,4,8,2}

Doing so leads to: 4+6+4+7+4+8+2 = 35

Then divide by n = 7 to compute the mean: 35/n = 35/7 = 5

We get the mean is 5 which matches with the instructions. So we have the correct replacement for the (x+1). We can now find the median.

------------------------------

To find the median of any data set, we need to make sure the numbers are in order from smallest to largest.

Right now {4,6,4,7,4,8,2} is not sorted, but we can sort the items to get {2,4,4,4,6,7,8}

The median is at the exact middle. In this set, the median is that third copy of '4'. Note how "2,4,4" is to the left of the median while "6,7,8" is to the right of the median. There is the same number of values on either side of the median to show things are balanced and we are at the center point.

As an alternative, you can cross off each pair of outer values one at a time until you steadily arrive at the midpoint, which again is that third copy of '4'.

So that's why the median is 4.

Sarah scored 82 points on her first test of the year. On the second test,

82%

On the Second Test, She scored 77 points

77%

82

-77

=5

The Percent of Change is 5%

or -5% Because The second test Is lower than her first test

Answer:

5%

Step-by-step explanation:

82% - 77%=5%

82%

77%

so there fore the answer is 5%

Hope this helped!!!

Have a great day!!! :)

Total revenue is calculated by multiplying the price per unit by the quantity produced and sold. This calculation provides valuable insights into a firm's sales performance and helps in assessing the financial health of the business.

A firm's total revenue is calculated by multiplying the quantity produced by the price at which each unit is sold. To calculate the total revenue, you can use the following equation:

Total Revenue = Price × Quantity Produced

where Price represents the price per unit and Quantity Produced represents the total number of units produced and sold.

For example, let's say a company sells a product at a price of $10 per unit and produces 100 units. The total revenue can be calculated as:

Total Revenue = $10 × 100 units

Total Revenue = $1,000

So, the firm's total revenue in this case would be $1,000.

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Total revenue is an important metric for businesses as it indicates the overall sales generated from the production and sale of goods or services. By calculating the total revenue, companies can evaluate the effectiveness of their pricing strategies and determine the impact of changes in quantity produced or price per unit on their overall revenue.

It is essential for businesses to monitor and analyze their total revenue to make informed decisions about production levels, pricing, and sales strategies.

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Remember that

A right triangle must satisfy the Pythagorean Theorem

so

c^2=a^2+b^2

Find the possible combinations

For c=43 and a=12 , b=35

43^2=12^2+35^2

1,849=144+1,225 -------> is not true

For c=43 and a=35, b=37

43^2=35^2+37^2

1,849=1,225+1,369 -----> is not true

For c=37, a=12, b=35

37^2=12^2+35^2

1,369=144+1,225

1,369=1,369 ------> is true

that means

Is a right triangle

To make 132 cookies 3.14 pounds of butter would be used.

It is given that a bakery make 7 dozen cookies using 2 lbs of butter.

We know that 1 lb=1 pound

We know that 1 dozen = 12

7 dozen =7 × 12

= 84 cookies

We have to find how many pounds of butter would be used to make 132 cookies.

Let x be the number of pounds butter would be used to make 132 cookies

84/2 = 132/x

Apply cross multiplication

84x = 264

Divide both side by 84

x = 264/84

Hence, to make 132 cookies 3.14 pounds of butter would be used .

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The vectors AB and AC are (-2, -1, 5) and (-5, 1, 5) respectively. The parametric equation of the line passing through A and B is given, and the equation of the plane containing points A, B, and C is y = 0. The area of triangle ABC is calculated to be 7.5 square units.

(a) To find the vectors AB and AC, we subtract the coordinates of point A from the coordinates of points B and C, respectively:

Vector AB = B - A = (2 - 4, 0 - 1, 3 - (-2)) = (-2, -1, 5)

Vector AC = C - A = (-1 - 4, 2 - 1, 3 - (-2)) = (-5, 1, 5)

(b) The parametric equation of the line passing through points A and B can be expressed as:

x = 4 - 2t

y = 1 - t

z = -2 + 5t

The equation of the plane containing points A, B, and C can be determined using the cross product of vectors AB and AC. The normal vector of the plane is given by:

n = AB x AC = (-2, -1, 5) x (-5, 1, 5)

Using the cross product formula, we calculate the cross product:

n = ((-1)(5) - (1)(-5), (5)(-5) - (5)(-2), (-2)(1) - (-1)(-2))

= (-5 - (-5), -25 - (-10), -2 - 2)

= (0, -15, 0)

The equation of the plane can be written as:

0x - 15y + 0z + d = 0

Simplifying, we get:

-15y = 0

y = 0

Therefore, the equation of the plane is -15y = 0, or simply y = 0.

(c) To find the area of triangle ABC, we can use the formula:

Area = (1/2) * |AB x AC|

We already have the vectors AB and AC:

AB = (-2, -1, 5)

AC = (-5, 1, 5)

Calculating the cross product:

AB x AC = ((-1)(5) - (1)(-5), (5)(-5) - (5)(-2), (-2)(1) - (-1)(-2))

= (-5 - (-5), -25 - (-10), -2 - 2)

= (0, -15, 0)

Now we can find the magnitude of the cross product:

|AB x AC| = sqrt(0^2 + (-15)^2 + 0^2) = sqrt(225) = 15

Finally, we calculate the area:

Area = (1/2) * |AB x AC| = (1/2) * 15 = 7.5

Therefore, the area of triangle ABC is 7.5 square units.

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Answer:

8.5 cups per day

Step-by-step explanation: The answer is very simple. 85/10 equals 8.5 cups per day! Good Luck! Stay Brainy!

Answer: 1/4

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

         = (6 - 5) / (5 - 1)

         = 1/4

3y + 2 = 62

3y = 60

y = 20

360 - 2(62) = 236

236 ÷ 2 = 118

5x + 3 = 118

5x = 115

x = 23

Answer: 13095238095/100000000000

Step-by-step explanation:  To write 0.13095238095 as a fraction you have to write 0.13095238095 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.13095238095 = 0.13095238095/1 = 1.3095238095/10 = 13.095238095/100 = 130.95238095/1000 = 1309.5238095/10000 = 13095.238095/100000 = 130952.38095/1000000 = 1309523.8095/10000000 = 13095238.095/100000000 = 130952380.95/1000000000 = 1309523809.5/10000000000 = 13095238095/100000000000

We need to isolate x.

2tx-n³= 4f

2tx = 4f + n^3

x = (4f + n^3)/(2t)

Done!

The value of x is x= 2f/t + n³/2t.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2tx-n³=4f

Now, solving for x

2tx=4f + n³

x= 1/2t (4f + n³)

x= 4f/2t + n³/2t

x= 2f/t + n³/2t

Hence, the value of x is x= 2f/t + n³/2t.

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The general solution is (2/3)x³ - xy² + 3x + C1(y) + (7/3)y³ - xy² + 2y + C2(x).

To determine whether the given differential equation is exact, we need to check if the partial derivatives of the equation with respect to x and y are equal.

Given differential equation: (2x² − 2xy + 3) dx + (7y² − x² + 2) dy = 0

Taking the partial derivative with respect to x:

∂/∂x(2x² − 2xy + 3) = 4x - 2y

Taking the partial derivative with respect to y:

∂/∂y(7y² − x² + 2) = 14y - 0 = 14y

Since the mixed partial derivative (∂²/∂x∂y) is not equal to the difference between the two partial derivatives (∂/∂y(4x - 2y) - ∂/∂x(14y)), the given differential equation is not exact.

To proceed, we can check if the equation can be made exact by multiplying an integrating factor.

Dividing both sides of the equation by (4x - 2y), we get:

[(2x² − 2xy + 3)/(4x - 2y)] dx + [(7y² − x² + 2)/(4x - 2y)] dy = 0

Comparing this with the form M(x, y) dx + N(x, y) dy = 0, we have:

M(x, y) = (2x² − 2xy + 3)/(4x - 2y)

N(x, y) = (7y² − x² + 2)/(4x - 2y)

To find the integrating factor (μ), we can use the formula:

μ = e^(∫(∂M/∂y - ∂N/∂x) dx)

Calculating the values:

∂M/∂y = (-2x + 2)/(4x - 2y)

∂N/∂x = (-2x + 7)/(4x - 2y)

∂M/∂y - ∂N/∂x = [(-2x + 2)/(4x - 2y)] - [(-2x + 7)/(4x - 2y)]

             = (-2x + 2 + 2x - 7)/(4x - 2y)

             = (-5)/(4x - 2y)

∫(-5)/(4x - 2y) dx = -5ln|4x - 2y|

Therefore, the integrating factor (μ) is μ = e^(-5ln|4x - 2y|) = 1/(|4x - 2y|^5).

Now, multiply the entire equation by the integrating factor:

1/(|4x - 2y|^5) [(2x² − 2xy + 3) dx + (7y² − x² + 2) dy] = 0

Simplifying the equation, we get:

(2x² − 2xy + 3)/(|4x - 2y|^5) dx + (7y² − x² + 2)/(|4x - 2y|^5) dy = 0

Now, we need to check if this new equation is exact.

Taking the partial derivatives with respect to x and y, we find that they are equal.

Since the equation is now exact, we can find the solution by integrating the equation.

Integrating (2x² − 2xy + 3)/(|4x - 2y|^5) with respect to x,

and integrating (7y² − x² + 2)/(|4x - 2y|^5) with respect to y.

To integrate the given differential equation with respect to x and y, we treat it as a function of two variables and integrate each term separately.

Integrating with respect to x:

∫ (2x² - 2xy + 3) dx = (2/3)x³ - xy² + 3x + C1(y)

Integrating with respect to y:

∫ (7y² - x² + 2) dy = (7/3)y³ - xy² + 2y + C2(x)

Where C1(y) and C2(x) are arbitrary functions of y and x, respectively.

Combining the results, we have the general solution:

(2/3)x³ - xy² + 3x + C1(y) + (7/3)y³ - xy² + 2y + C2(x) = C

Where C is the constant of integration.

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The greatest possible length of the line segment joining two points on the circle is 8 cm, which is equal to the diameter of the circle.

The greatest possible length of a line segment joining two points on a circle is equal to the diameter of the circle.

In this case, the circle has a radius of 4 cm. The diameter of a circle is twice the length of the radius. Therefore, the diameter of this circle is 2 * 4 cm = 8 cm.

Hence, the greatest possible length of the line segment joining two points on the circle is 8 cm, which is equal to the diameter of the circle.

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the probability that at least one of the 10 flips comes up head

is P = 0.75

How to get the probability?

The probability for flipping both sides of the coin is exactly the same one because we have an even coin.

The probability of getting the first flip heads up is just 0.5, as we can expect.

The probability that exactly 5 flips come heads up is:

P = C(10, 5)*(0.5)^10 = (0.5)^10*(10*9*8*7*6)/(5*4*3*2*1) = 0.25

Then, adding these two, the total probability is:

p = 0.5 + 0.25 = 0.75

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The proof to show that ∆AEC and ∆BDC are similar in the blanks is below;

<BDC and <AEC are right angles by the definition of perpendicular lines and all right angles are congruent, So, <BDC≅AEC. Both ∆AEC and ∆BDC share <C, and <C ≅ <C by the reflexive property. Therefore, ∆AEC ~ ∆BDC by the SAS criterion for proving similar triangles.

A triangle is a three sided polygon. The type of triangles includes:

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Answer:

3132

Step-by-step explanation:

2.2% of 3500 is 77 which leaves you with 3423 after one year. At this rate you can take 2.2% of 3423. using this formula five times you reach a final answer of 3132.

3500

-77

3423

-75.306

3347.694

-73.649268

3274.044732

-72.028984104

3202.0157479

-70.4443464538

3131.57140145

and rounding up to a whole leaves you with 3132

Answer:

the prime factorization of 252 is. 252 = 2 × 2 × 3 × 3 × 7 = 22 × 32 × 7.

The 2 missing numbers are not given, so I'm unsure about the 2 missing numbers.

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Definitions

Prime number: A whole number greater than 1 that cannot be made by multiplying other whole numbers.

Prime Factorization: Prime numbers that multiply together to make the original number.

The first few prime numbers are:  2, 3, 5, 7, 11, 13, 17, ...

To find which prime numbers multiply together to make 252, begin by dividing 252 by the first prime number, 2:

⇒ 252 ÷ 2 = 126

As 126 is not a prime number, we need to divide again.  

⇒ 126 ÷ 2 = 63

As 63 is not a prime number, and 63 is not divisible by 2, try dividing it by the next prime number, 3:

⇒ 63 ÷ 3 = 21

As 63 is not a prime number, divide again.  

⇒ 21 ÷ 3 = 7

As 7 is a prime number, we can stop.

Therefore, 252 is the product of:

⇒ 252 = 2 × 2 × 3 × 3 × 7

As 2 and 3 appear twice, we can write these using exponents:

⇒ 252 = 2² × 3² × 7

Answer:

11.21

Step-by-step explanation:

Arc length formula equals pi times the diameter (2 radius) times the angle measure (connecting to the center point of the circle) divided by 360

Basically just plug in the numbers to the formula and solve: 12pi times 107 over 360, which would equal to the answer given above.

Hope this helps (: