Write a quadratic function f whose zeros are 7 and -5.

Answer:

x = 12.5

Step-by-step explanation:

From the diagram,

Applying

tanФ  = Opposite/Adjacent...................... Equation 1

From the diagram,

Given: Opposite = 16, Adjacent = x, Ф = 52°

Substitute these values into equation 1

tan52° = 16/x

make x the subject of the equation

x = 16/tan52°

x = 16/1.27994

x = 12.5.

Answer:

-2

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

To determine the amount of paint she would use for a picture, divide the total gallon of paint by the number of pictures

Paint she would use for one painting = total gallons of paint / number of pictures

1/8 ÷ 4

= 1/8 x 1/4

= 1/32

The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8

From the question, we have the following parameters that can be used in our computation:

Divisor = 5

Remainder = 3

Using the above as a guide, we have the following:

Smallest integer = Divisor + Remainder

So, we have

Smallest integer = 5 + 3

Evaluate

Smallest integer = 8

Hence, the smallest is 8

Read more about quotient at

https://brainly.com/question/1807180

#SPJ1

Answer:

y≤2x-1

Step-by-step explanation:

The sign mean less than or equal to

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

for such more questions on Cost

https://brainly.com/question/2292799

#SPJ8

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Answer:

Step-by-step explanation:

208

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

Read more about numbers at

https://brainly.com/question/20372424

#SPJ1

Answer:

10 cm

Step-by-step explanation:

See attached image

Answer:

length = 10 cm

Step-by-step explanation:

Fyi, breadth is a synonym to width.

Since P=30, we must find the length.
l = length
w = width
P=w+w+l+l

30 = 5+5+l+l
30 = 10+2l
-2l = -20
l = 10

Hence, the length is 10 cm.

Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris.

Given that,

There are 4 children's. The names of the children's are Philip, Annie, Paul and Chris.

Philip is twice as old as Annie. Paul is 4 years older than Phillip and Chris is 2 years younger than Annie.

We have to find which represents the order of the children by age, from oldest to youngest.

We know that,

Lets us take the ages if the children's as a,b,c,d of Philip, Annie, Paul and Chris.

Philip is twice as old as Annie.

That means a = 2b

Paul is 4 years older than Phillip and

That mean c =4+a

Chris is 2 years younger than Annie.

That means d=b-2

So,

If we take the age of Philips as 20

Then Annie is 10, Paul is 24 and Chris is 8.

Therefore, Option -A is correct that is the order of the children by age, from oldest to youngest is Paul, Phillip, Annie, Chris .

To learn more about children's visit: https://brainly.com/question/28771618

#SPJ1

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

for such more question on equation

https://brainly.com/question/17482667

#SPJ8

Answer:

the study of and knowledge about the physical world and natural lawsthe study of and knowledge about the physical world and natural lawsthe study of and knowledge about the physical world and natural lawsthe study of and knowledge about the physical world and natural laws

The volume of the rectangular tank is:

V = l × w × h = 40 cm × 30 cm × 35 cm = 42,000 cm³

The initial volume of water in the tank is:

V1 = l × w × h1 = 40 cm × 30 cm × 15 cm = 18,000 cm³

When 4800 cm³ of water is poured into the tank, the new volume of water becomes:

V2 = V1 + 4800 cm³ = 18,000 cm³ + 4800 cm³ = 23,800 cm³

Let's assume that the new water height is h2 cm. We can use the formula for the volume of a rectangular tank to find the new height:

V = l × w × h2

h2 = V / (l × w) = (23,800 cm³) / (40 cm × 30 cm) ≈ 19.83 cm

Therefore, the new height of the water in the tank is approximately 19.83 cm.

The number of dogs in the animal shelter which comprise of cats, dogs, and rabbits is 84 dogs.

Total animals = 5 × 47

= 235

235 = d + (d + 20) + 1/2(d + 20) - 5

235 = d + d + 20 + 1/2d + 10 - 5

235 = 2 1/2d + 25

235 - 25 = 2 1/2d

210 = 2 1/2d

d = 210 ÷ 2 1/2

d = 210 ÷ 5/2

= 210 × 2/5

= 420/5

d = 84 dogs

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

Answer:

139

Step-by-step explanation:

First we need to find diameter 132/3.14=42 rounded

Then we halve it to find radius 42/2=21

Formula for area is radius x radius x 3.14

21 x 21 = 441 x 3.14 = 138.74 round up is 139

Answer:

18.8 feet, 59.1 feet to the nearest tenth

Step-by-step explanation:

The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.

The diameter D = 2r where r is the radius of the circle

The circumference = 2Πr = ΠD where Π = 22/7

Given that the circular fountain has a radius of 9.4 feet

Its diameter =  2 × 9.4 feet = 18.8 feet

The circumference = 22/7 × 18.8 feet

=59.09 feet

≈ 59.1 feet to the nearest tenth

Answer:

A i dont know i think it is i dont know correct me if im wrong

Answer:

A. latitude

Step-by-step explanation:

The type of imaginary line that runs parallel to the Equator on a map:

A. latitude

The approach employed in this specific instance is a non-probability sampling technique labeled as convenience sampling.

It involves selecting the participants based on convenience or, in other words, selecting those who are readily available to take part in the study. Hence the school district has decided to dispatch the survey to all parents whose children have access to the online questionnaire.

The selected sample principally arises from considerations of the ease with which it can be attained, thus making convenience rather than randomness the dominant factor informing the selection process.

Read more about sampling method here:

https://brainly.com/question/16587013

#SPJ1

A school district sends an online survey to all parents of students in the district asking for feedback on props educational changes on recent tax cuts

What is the sampling method used here

The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

Learn more about translations at:

https://brainly.com/question/24850937

#SPJ1

Answer:

3 2/4 or 3 1/2

Step-by-step explanation:

Have a great day!

Check

3*4=12 +2 = 14

To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.

The derivative of the expression is given by:

dy/dx = 30(x-25)

Setting this equal to 0, we get:

0 = 30(x-25)

Solving for x, we get:

x = 25

Substituting this value into the original expression for y, we get:

y = 15(25-25)^2+130 = 130

Therefore, the minimum value of y is 130, which is achieved when x=25.

The fraction which is closest to 1/2 is, 3/8. So option B is correct

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number 1/2

In decimal form = 0.5

Closest fraction number = ?

Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,

Lets take, A fraction 1/6

In decimal form it can written as,  0.167

Difference 1 =  0.5 - 0.167

                  =   0.333

Similarly, For numbers 3/8, 3/4, -1/2

Difference 2 =  0.5 - 0.375  = 0.125

Difference 3 =  0.5 - 0.75  = -0.25

Difference 4 =  0.5 - (-0.5)  =  1.0

It can be seen that,

Magnitude of difference in case of 3/8 is very less

Hence, the closest number is 3/8

To know more about Fraction check:

https://brainly.com/question/8482939

#SPJ1

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

For more such questions on subsequent stop

https://brainly.com/question/29636800

#SPJ8

Answer:

No

Step-by-step explanation:

If you try to divide the highest 4-digit number (9999) by some number 10 or over, you will always get a number that is more than 2 digits

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

The solution of the triangle have been shown below.

To solve a triangle means to find the values of all its angles and sides. The method for solving a triangle depends on the given information.

Given that;

a/Sin A = b/SinB

Sin B = bSin A/a

B = Sin-1(bSin A/a)

B = Sin-1 (23Sin 40/17)

B = 60.4 degrees

Then we have that

C = 180 - (40 + 60.4)

= 79.4 degrees

Then;

a/sinA = c/Sin C

c= aSin C/Sin A

c = 17 * Sin 79.4/Sin 40

c =   16.71/0.643

c = 25.9

Learn more about triangle:https://brainly.com/question/2773823

#SPJ1

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

To know more about Whole percent.

https://brainly.com/question/24877689

#SPJ11