If triangle GFE is similar to triangle CBE, find FE. Type only the number in
the answer box.

Answer:

The unit rate is 16

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Step-by-step explanation:

To graph them, sub 2 random x/y numbers and find the corresponding coordinates then plot these 2 points on the axes then connect to form a straight line :)

Topic: coordinate geometry

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Answer:

$18.60

Step-by-step explanation:

The total amount spent is $372, and this can be divided by 20. Each costume would cost $18.60.

Answer:

Yes

Step-by-step explanation:

if you think of a slope equation, for example y= 3x + 2, if you do the opposite reciprocal, you would get-1/3 because you flip it around, and you flip the sign.

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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Answer:

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

hope this helped:)

brainliest for the brains........................

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Here, we have,

The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.

Factors of 54: 1,2,3,6,9,18,27 and 54

Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.

To find the factors of a number, 54, we will use the factorization method.

To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.

54 ÷ 1 = 54

54 ÷ 2 = 27

54 ÷ 3 = 18

54 ÷ 6 = 9

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Answer:

The amount after 6 years is $3,774.71 to the nearest cent.

Step-by-step explanation:

To find the balance of the account use the compound interest formula.

\(\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the compound interest formula and solve for A.

\(\implies A=3500\left(1+\dfrac{0.0126}{12}\right)^{12\times 6}\)

\(\implies A=3500\left(1+0.00105\right)^{72}\)

\(\implies A=3500\left(1.00105\right)^{72}\)

\(\implies A=3500\left(1.07848829...\right)\)

\(\implies A=3774.70904...\)

Therefore, the amount after 6 years is $3,774.71 to the nearest cent.

Answer: Archie I think

Step-by-step explanation: Brainliest please?

what do you mean.. is this some other things not about math?

A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.

In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.

Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.

If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.

The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.

Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.

Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.

This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.

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Answer:

12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3/3+2/3 = 5/3

Answer is 5

Answer:i dont know

Step-by-step explanation:

Answer:

we need to to find what percentage 9 is of 90

from looking at this we can see that 90 is just 9*10

so 9% of students took a vanilla cupcake

Hope This Helps!!!

Answer:

a. 36

Step-by-step explanation:

The HCF of two numbers is the largest number that divides both numbers exactly. To find the HCF, we can factor each number completely and then find the factors that are common to both numbers.

The prime factorization of 2²*3³*5 is:

2²*3³*5 = (2*2)*3*3*3*5

The prime factorization of 2²*3²*7 is:

2²*3²*7 = (2*2)*3*3*7

The common factors of 2²*3³*5 and 2²*3²*7 are:

(2*2)*3*3

Therefore, the HCF of 2²*3³*5 and 2²*3²*7 is:

(2*2)*3*3 = 2²*3²=4*9=36

Answer: A

Explanation:

Answer:

A. (–4, –3)

Step-by-step explanation:

This is in case any one else had the answer on a different letter.

Answer:

18.69

Step-by-step explanation:

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answer:Each tennis ball cost 0.67 cents.

Step-by-step explanation:

$10.05 divided by 15 equals 0.67 cents.

0.67 x 15 = $10.05

Answer:

So 15 of 16GB iPad and 21 of 64GB iPad was sold

Step-by-step explanation:

Let 16GB iPad= x

Let 64GB iPad= y

Total iPad= 36

Cost of x = $50

Cost of y = $79

Total sales amount= $2409

So let's form the equation.

X + Y = 36. ...... equation 1

50x + 79y = 2409..... equation 2

X + Y = 36

50x + 79y = 2409

X = 36-y

50(36-y) +79y =2409

1800- 50y +79y =2409

79y-59y= 2409-1800

29y= 609

Y= 609/29

Y= 21

X= 36-y

X= 36-21

X= 15

So 15 of 16GB iPad and 21 of 64GB iPad was sold

Answer: 1,055 or 1,059

Step-by-step explanation: (5)(212)                                                                       1060                                                                                                                          If I were to estimate (5)(212) without solving the answer would be in the 1,050+ range. But if I solve it without estimating the answer is 1,060.

Given data:

The given distance is d=880 miles.

The given time is t=8 hr.

The expression for the speed is,

s=d/t

Substitute the given values in the above expression.

s=(880 miles)/(8 hours)

=110 miles/h

Thus, the speed is 110 miles/hour.

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.

Answer:

10y - 20

Step-by-step explanation:

Answer: x = -2

Step-by-step explanation:

Given:

Perimeter = 50 cm

=> 2 (2x+15)+ 2(3x+20) =50

=> 4x+30+6x+40=50

=> 10x= -20

=> x= -20/10

=> x = -2

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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