how to solve this 7c-3+2c=15

Answer:

just use the properties of the figure for rxample in number 3 they are equal as the oppositevangle are equal

The average of the three hidden prime numbers is 5, as the sum of any two of the numbers is equal to 10, and since all three numbers are prime, the only possible values are 3, 5, and 7.

3 + 5 + 7 = 15

15/3 = 5

The average of the three hidden prime numbers is 5. This means that the sum of any two of the numbers on the cards must be equal to 10. Since all three numbers are prime,as the sum of any two of the numbers is equal to 10 the only possible values are 3, 5, and 7. Therefore, the three numbers on the hidden sides of the cards are 3, 5, and 7. To calculate the average, we add the three values together and divide by three. 3 + 5 + 7 = 15, and 15 divided by 3 is 5. Therefore, the average of the hidden prime numbers is 5.

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The exponential function from the decay function given is y = 30.5(0.7)ˣ

An exponential function is a mathematical function that models the growth of a quantity as a power of another quantity, typically as the exponent of a constant called the base. The general form of an exponential function is given by:

f(x) = a^x

where "a" is the base and "x" is the input. The value of "a" must be positive and greater than zero. When "a" is greater than 1, the exponential function grows very quickly, and when "a" is between 0 and 1, the exponential function decreases very quickly.

In this problem, we can find the exponential function by;

when x = 0

f(0) = 30.5

The function can be written as;

f(x) = 30.5(b)ˣ

To find the value of b,

We can take another point and solve;

f(0) = 30.5

f(1) = (21.35)

Looking at the graph, this is a decay function and we can easily find the value as 0.7.

The function is given as y = 30.5(0.7)ˣ

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answer is

5(-1) = -5 +23 = 18

Answer:

x= 1/27

Step-by-step explanation:

the correct answer is : X = 1/27

Answer:

- 1/2

Step-by-step explanation:

To solve for x in the equation 3^2x = 1/3, we can start by taking the logarithm of both sides with base 3:

log3 (3^2x) = log3 (1/3)

Using the logarithmic property logb (a^n) = n * logb (a), we can simplify the left side:

2x * log3 (3) = log3 (1/3)

Since log3 (3) = 1, we can simplify further:

2x = log3 (1/3)

To find the value of the logarithm on the right side, we can use the definition of logarithms: logb (a) = c if and only if b^c = a. Since 1/3 = 3^-1, we have:

2x = log3 (3^-1) = -1

Finally, to solve for x, we divide both sides of the equation by 2:

x = -1/2

So the solution to the equation 3^2x = 1/3 is x = -1/2.

The exponential function for the given table will be y=0.01(2)ˣ where x=positive integer.

What exactly are exponential functions?

An exponential function is a mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is termed the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most often used exponential function basis.

Growth that is exponential

The amount expands extremely slowly at first, then rapidly in Exponential Growth. The rate of change accelerates with time. As time passes, the pace of growth accelerates. The quick expansion is designed to represent a "exponential rise".

The exponential growth formula is: y = a (1+ r)ˣ, where r is the growth percentage.

Now,

as given in the table initial value = 0.01

and it is increasing into multiples of 2ˣ where x=positive integer

Then for the value of y for any value of x will be

y=0.01(2)ˣ where x=positive integer

Hence,

           The exponential function for the given table will be y=0.01(2)ˣ.

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If the equation describes the situation is 2x + 40 = 62, then the variable x represents the option (D) number of push ups Noah does

The given statements are

Diego does twice as many push ups as Noah

Therefore, if Noah does x push ups Diego does 2x push ups

Number of jumping jacks that Diego does = 40

Total number of exercises that he does = 62

The linear equation that represents the situation is

2x + 40 = 62

From the given equation

2x = 62 - 40

2x = 22

x = 22/2

x = 11

Here we can see that x is the number of push ups Noah does and 2x is the number of push ups Diego does

Therefore, the variable x is the number of push ups Diego does

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The area of the figure is solved to be

The area of a kite is solved using the formula

= P * q / 2

Where

p = length of long diagonal

q = length of short diagonal

Using the figure the length can be traced to be

p = 3 - -5 = 3 + 5 = 5

q = 6 - 2 = 4

Area of the figure

= 5 * 4 / 2

= 20 / 2

= 10 square units

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Answer:

y = 2x + 10

Step-by-step explanation:

y = 2x + 10  

y is the total number of loaves of bread.

x is the number of days.

If the baker baked for ten days, he would have 30 loaves of bread

y = 2x + 10

y = 2(10) + 10

y = 20 + 10

y = 30

If he baked for 50 days, he would have baked 110 loaves

y = 2x + 10

y = 2(50) + 10

y = 100 + 10

y = 110

And so on and so on...

The measures regarding the angles of the triangle are given as follows:

The angle measures are defined as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the value of x is obtained as follows:

5x - 14 + x - 5 + 2x - 9 = 180

8x = 208

x = 208/8

x = 26.

Then the measures are given as follows:

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Step-by-step explanation:

please review the attachment

The total cost of the computer is $2418.75.

The total cost of the computer in sale $2,056.

The computer is regularly priced at $2250.

With the 15% discount, Jerome would save = $2250 × 15%

With the 15% discount, Jerome would save = $2250 × 15/100

With the 15% discount, Jerome would save = $337.50 on the computer

The sales tax is 7.5%.

So the tax on the computer would be = $2250 × 7.5%

The tax on the computer would bee = $2250 × 7.5/100

The tax on the computer would be = $168.75

The total cost for the computer on sale would be = $2250 - $337.50

The total cost for the computer on sale would be = $1,912.5

If the tax is 7.5% .

So he has to pay = $1,912.5 + $1,912.5 × 7.5% = $2,056

Therefore, the total price for the computer on sale would be $2,056,

The price of the computer not on sale = $2250 + $168.75 = $2418.75.

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The most reasonable answer for left pocket money to Jesse after spending it on Monday, Tuesday and Wednesday is 1/8.

Let's assume that the amount of pocket money Jesse has is "x".

On Monday, he spends 1/2 of his pocket money, so he has 1/2 of his pocket money left:

Amount left after Monday = x - (1/2)x = (1/2)x

On Tuesday, he spends 2/3 of what is left, which is 2/3 of (1/2)x:

Amount left after Tuesday = (1/2)x - (2/3)(1/2)x = (1/6)x

On Wednesday, he spends 1/4 of what remains, which is 1/4 of (1/6)x:

Amount left after Wednesday = (1/6)x - (1/4)(1/6)x = (1/8)x

Therefore, the fraction of the pocket money he has left is:

Amount left / Original amount = (1/8)x / x = 1/8

So, the most reasonable answer is 1/8.

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____The given question is incorrect, the correct question is given below:

Jesse spends 1/2 of his pocket money on Monday. On Tuesday, he spends 2/3 of what is left. On Wednesday, he spends 1/4 of what remains. What fraction of the pocket money does he have left? Choose the most reasonable answer.

The fourth term in the sequence is:

f(4) = -76

Here we have a sequence where we know the first term:

f(1) = 8

And the recursive formula is:

f(n) = -2*f(n - 1) - 4

Using the recursive formula we can get the next terms:

f(2)  = -2*f(2 - 1) - 4

      = -2*f(1) - 4 = -2*8 - 4 = -20

f(3) = -2*f(3 - 1) - 4

      = -2*-20 - 4 = 40 - 4 = 36

f(4) = -2*f(4 - 1) - 4

     = -2*36 - 4 = -76

That is the value of the fourth term.

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The solution of units problem is   Suzy has 5 toy trucks by using the equation 15 = 3 * Suzy's number of toy trucks

According to the given information:

If Patricia has 3 times as many toy trucks as Suzy, we can set up an equation where:

Patricia's number of toy trucks = 3 * Suzy's number of toy trucks

We know that Patricia has 15 toy trucks, so we can substitute that value into the equation:

15 = 3 * Suzy's number of toy trucks

Now we can solve for Suzy's number of toy trucks:

Suzy's number of toy trucks = 15 / 3

Suzy's number of toy trucks = 5

Therefore, Suzy has 5 toy trucks.

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Answer:

the number of shirts sold

Step-by-step explanation:

that's what the question is asking

The unknown number's variable w is equal to -10.

In mathematics, a variable is an alphabet or phrase that represents an unknown quantity, unknown value, or unknown number. The variables are used, particularly when dealing with algebraic expressions or algebra. As an example, the variables x and 9 are constants in the linear equation x+9=4.

The following information can be written as an equation to express it:

4 + w/5 = 2

By deducting 4 from both sides of the equation, we may isolate the variable on one side and solve for w:

w/5 = -2

Then, to find w, we can multiply both sides by 5.

w = -10

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The rays that are opposite are:

TX and TL

A ray is a line that points in one direction. It has one starting point and no end point.

It is important that we know the difference between a line and a ray.

A line has no endpoints or a starting point.

We have,

From the figure,

The rays are:

TS

TL

TV

TZ

All have a common starting point, T.

We see that,

TX and TS are perpendicular rays.

TS and TL are perpendicular rays.

TX and TL are opposite rays.

Now,

The rays that are opposite are:

TX and TL.

Thus,

TX and TL are opposite rays.

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Answer: The answer is x²+2x-8

Step-by-step explanation:

The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same

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Answer:

It's not a triangle

Step-by-step explanation:

What you do is add the two smallest numbers and hope it's smaller than the longer side

9 + 9 = 18

The longest side is 17, which is LESS than 18. That means it's not a triangle

Answer:

It isnt a triangle

Step-by-step explanation:

I did the quiz and this was the answer.

Answer:

False.

Step-by-step explanation:

Longitude and latitude are geographical coordinates used to determine the location of a place on the earth's surface. They are not easily calculated by observing the direction that fish are swimming. Latitude is determined by observing the position of the sun relative to the earth's equator and longitude is determined by observing the position of the sun relative to the Prime Meridian. To accurately calculate latitude and longitude, one would need to use specialized instruments, such as a sextant, or rely on GPS technology. Observing the direction that fish are swimming would not provide enough information to accurately determine latitude and longitude.

False

the longitude and latitude can be easily calculated and determined with using a map not by observing the direction that the fish are swimming.

The general equation of a circle is (x-h)² + (y-k)² = r²

Where,

Here we are given the equation (x+4)² + (y+5)² = 64 and given this we are asked to find the diameter as well as the coordinates of the center.

Finding the center

If (h,k) = center, then the coordinates of the center are the given values of h and k but negative. This is because the values are being subtracted from x and y. (x-h)² + (y-k)² = r²

This means that, (x+4)² + (y+5)² = 64 is the same as saying (x-(-4))² + (y-(-5))² = 64 based off of the general equation of a circle.

Notice how the plugged in values are negative rather than positive.

In conclusion, we can say that the center is at (-4,-5) (see attached image below to check answer)

In the equation, 64 takes the place of r²

So r² = 64

Taking the square root of both sides we get r = 8

So the radius is 8.

To convert to diameter we multiply by 2

So diameter = 8 * 2 = 16

In conclusion, a circle with the equation (x+4)² + (y + 5)² = 64, has a center  at (-4,-5) and a diameter of 16

The commission amount the salesperson earn is $29.7.

The percentage formula is dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Selling price = $495

Commission = 6%

Now,

The amount of commission.

= 6% of 495

= 6/100 x 495

= 29.7

Thus,

The commission the salesperson earn is $29.7.

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The left Riemann Sum approximation for the integral of 20(4x² - 2x)dx over the interval [0, 20] with four equal subintervals is 165250.

In calculus, the integral is a mathematical tool that allows us to find the area under a curve. It is an important concept that is used in many fields of science and engineering. One way to estimate the value of an integral is by using a Riemann Sum, which involves dividing the region under the curve into small rectangles and adding up their areas.

In this case, we will be using a left Riemann Sum with four equal subintervals to estimate the integral of 20(4x² - 2x)dx.

To use a left Riemann Sum, we need to first divide the interval of integration into equal subintervals. In this case, we have four subintervals of width

=> (b - a)/n = (20 - 0)/4 = 5.

The left endpoint of each subinterval will be used as the height of the rectangle that represents the area under the curve in that subinterval.

Next, we need to evaluate the function 20(4x² - 2x) at the left endpoints of each subinterval. These values will be used as the heights of the rectangles. The left endpoints are 0, 5, 10, and 15, so we have:

f(0) = 20(4(0)² - 2(0)) = 0

f(5) = 20(4(5)² - 2(5)) = 1900

f(10) = 20(4(10)² - 2(10)) = 7200

f(15) = 20(4(15)² - 2(15)) = 15150

We can now find the area of each rectangle by multiplying its height by its width (5). The total area is the sum of these areas:

(0)(5) + (1900)(5) + (7200)(5) + (15150)(5) = 165250

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Lindsey made 35 free throws, 143 two-point field goals, and 107 three-point field goals during the 2006 regular season.

Two or more expressions with an Equal sign is called as Equation.

Let's denote the number of two-point field goals Lindsey made by x, and the number of three-point field goals she made by y.

x + y + (x+y-71)/2 + (x+y-71)/2 - 21 = 862 (total points equation)

x = 2y - 71 (two-point field goals equation)

Simplifying the first equation and substituting the second equation, we get:

3x + 3y = 1964

Substituting x = 2y - 71 into this equation, we get:

3(2y-71) + 3y = 1964

Solving for y, we get:

y = 107

Substituting this value into the equation x = 2y - 71, we get:

x = 143

Now, (x + y - 71)/2 - 21 = (143 + 107 - 71)/2 - 21 = 35

Therefore, Lindsey made 35 free throws, 143 two-point field goals, and 107 three-point field goals during the 2006 regular season.

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The missing value is given as follows:

x = 11.3 cm.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The parameters for this problem are given as follows:

Hence the missing value is obtained as follows:

14² + x² = 18²

x = sqrt(18² - 14²)

x = 11.3 cm.

We have a triangle in which:

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Answer:

B

Step-by-step explanation:

3+3 = 6 which is not more than 6 hours

3 x $25 = $75

3 x $15 = $45

$75 + $45 = $120