5) Add using Place-Value diagrams: 215 six + 43 six

Answer:

Step-by-step explanation:

We need to find the value of angle x:

Find the angles BCG and DCG, considering BA, CG and DE are parallel lines:

Find x:

Answer:

18, because the number of catalogs is 72/5 ÷ 4/5

Step-by-step explanation:

The answer is the last option because in total, the shelf is 72/5 inches wide. Given each catalog is 4/5 inch wide, and we want to find how many catalogs can fit in the shelf, we have to divide 72/5 by 4/5. When we divide 72/5 by 4/5, we get 18.

Answer:

18

Step-by-step explanation:

Because 72/5 by 4 over 5

72/4

= 18

Hope this helps :) Pls mark brainliest if you want

Derivatives can be calculated from graphed functions.

The values of the derivatives are:

The given parameter is:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Start by calculating the equations of f(x) and g(x)

Graph f(x)

The slopes of f(x) are: 3/2 and -3/2

So, the equations are:

[tex]\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}[/tex]

[tex]\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}[/tex]

Graph g(x)

The slope of g(x) is: -1/2

So, the equation is:

[tex]\mathbf{g(x) = -\frac 12x}[/tex]

For x = 1 and x = 2, we have:

So, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}[/tex]

Open brackets

[tex]\mathbf{h(x) = -\frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = -\frac{3}{4}}[/tex]

So:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex]

[tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex]

For x = 3, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}[/tex]

[tex]\mathbf{h(x) = \frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = \frac{3}{4}}[/tex]

Substitute 3 for x

[tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

Hence, the values of the derivatives are:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex], [tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex] and [tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

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Answer:

Kelly's wrong, because 97/1000 can be written as 0.097 not 0.97.

Step-by-step explanation:

you would get 0.97 by dividing 97 by 100.

Answer:

answer is c

Step-by-step explanation:

3x (x-3)=0

than 3x=0 or x-3=0

x=0 or x=3

Answer:

HMMMMMMMMMMMMMMMMMMMMMMMM

Step-by-step explanation:

HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

Answer:

c because if the converse is true then the inverse is also logically through

Answer:

(x,y)+(2,2)

Step-by-step explanation:

Answer:

The given average speed =  18 km per hour

Now, as we know from the conversion parameters:

 1000 meters   = 1 km

or 1 meter =  ( 1/ 1000) kilometer

So, we can use the above information to convert average speed into meters per hour.

The given speed =  18 km / hr = 18 x (1000) meters /hr

                            = 18,000 meters / hr

Step-by-step explanation:

Answer:

The width of the rectangular yard is 72 inches

Step-by-step explanation:

Let

L -----> the length of the yard

W ----> the width of the yard

we know that

The perimeter is equal to

we have

substitute in the formula and solve for W

Divide by 2 both sides

Subtract 5 both sides

Convert feet to inches

Remember that

1 ft= 12 in

Step-by-step explanation:

The width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

Perimeter of the rectangle :

P = 2L + 2W

L = 5 feet

22 = 2(5) + 2W

After calculating:

W = 6 feet

1 feet = 12 inches

6 feet = 72 inches

Thus, the width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.

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Answer:

yo soy inteligente

Step-by-step explanation:

pero no me se la respuesta de la perunta

Answer:

1/3.  To reduce a fraction, divide both the numerator and denominator by the GCF.

Answer:

yes

Step-by-step explanation:

3(8+4)

(3×8)+(3×4)

24+12

36

Answer:

x = 9

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

So if ∠A and ∠B are vertical angles than they are congruent ( so ∠A = ∠B )

If ∠A = 2x + 1 and ∠B = x + 10

Then 2x + 1 must equal x + 10

( note that we've just created an equation that we can use to solve for x )

We now solve for x using the equation we just created

2x + 1 = x + 10

Subtract x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

9514 1404 393

Answer:

  -177146

Step-by-step explanation:

The given formula is useful. The first term is a1 = -2. The common ratio is r = -6/-2 = 3. For n = 11 terms, the sum is ...

  S11 = -2(1 -3^11)/(1 -3) = -2(-177146/-2) = -177146

The sum of 11 terms of the series is -177146.

The sample space is used to prepare a list of all possible outcomes or element in an experiment. The sample space containing all elements attainable for the number of working pumps at a particular station is listed below :

Let the number of pumps in use at each station be listed on the row and column respectively :

P1/P2_0 _ 1__ 2 __ 3 __ 4 __ 5 __ 6

0__ 0,0 _0,1 _0,2 _0,3 __0,4_ 0,5_0,6

1__ 1,0 __1,1 _1,2 __1,3 __1,4 __1,5_ 1,6

2__2,0 _2,1 _2,2 _2,3 __2,4 __2,5_2,6

3__3,0_3,1 _3,2 _ 3,3 __3,4 __3,5 _3,6

4__4,0_4,1 _4,2 _ 4,3 __4,4 __ 4,5 _4,6

5__5,0_5,1 _5,2 _ 5,3 __5,4 __ 5,5 _5,6

6__6,0_6,1 _6,2 _ 6,3 __6,4 __ 6,5 _6,6

Therefore, all possible outcomes relating to the number of working pumps are available in the sample space created.

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 1

Interval Notation:

( − ∞, 1)

Answer:

The answer is 4

Step-by-step explanation:

2(2/3)2(1/2)3

Answer:

y = 5

Step-by-step explanation:

Group all y terms on the left side of the equation

Subtract 3y from both sides: 3-y-3y=3y+10-3y

Group like terms: -y-3y+30=3y+10-3y

Simplify the arithmetic: -4y+30=3y+10-3y

Group like terms: -4y+30=3y-3y+10

Simplify the arithmetic: -4y+30 = 10

Group all constants on the right side of the equation

Subtract 30 from both sides: -4y+30-30=10-30

Simplify the arithmetic: -4y=10-30

Simplify the arithmetic: -4y=-20

Isolate the y

Divide both sides by-4: -4y/-4 = -20/-4

Cancel out the negatives: 4y/4 = -20/-4

Find the greatest common factor of the numerator and denominator: y = 5·4/1·4

Factor out and cancel the greatest common factor:

y=5

Answer:

-3

Step-by-step explanation:

we take two points to find slope m

lets take ( 1, 4) and ( 2, 1)

then m=(1-4)/(2-1)

m=(-3)/(1)

m= -3

Step-by-step explanation:

Forced vital capacity: the maximum amount of air you can forcibly exhale from your lungs after fully inhaling. It is about 80 percent of total capacity, or 4.8 liters, because some air remains in your lungs after you exhale

9514 1404 393

Answer:

  a) 1.70 L

  b) 16 breaths per minute

Step-by-step explanation:

a) The maximum value of v(t) occurs when the sine function is at its maximum value of 1. In that case, the volume is ...

  1.27 +0.43×1 = 1.70 . . . liters

__

b) One full breath cycle takes a period of time that makes the argument of the sine function be 2π. The that time period is ...

  1.71t = 2π

  t = 2π/1.71 ≈ 3.6744 . . . seconds

Then the number of breaths per minute is ...

  (60 seconds/minute)/(3.6744 seconds/breath) ≈ 16.33 breaths/minute

The person takes about 16 breaths per minute while sleeping.

Answer:

23

Step-by-step explanation:

just used a calculator

m=number of miles

A=$110+$0.50m

B=$80+$0.80m

$110+$0.50m=$80+$0.80m Subtract ($80+$0.50m)

$30=$0.30m Divide each side by $0.30

100=m ANSWER: More than 100 miles must be driven per day to make Company A a better deal.

is that all of the question?

Step-by-step explanation:

Simple Interest

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them

SIMPLE ONE-TIME INTEREST

I

=

P

0

r

A

=

P

0

+

I

=

P

0

+

P

0

r

=

P

0

(

1

+

r

)

I is the interest

A is the end amount: principal plus interest

P

0

is the principal (starting amount)

r is the interest rate (in decimal form. Example: 5% = 0.05)

EXAMPLES

A friend asks to borrow $300 and agrees to repay it in 30 days with 3% interest. How much interest will you earn?

Show Solution

The following video works through this example in detail.

One-time simple interest is only common for extremely short-term loans. For longer term loans, it is common for interest to be paid on a daily, monthly, quarterly, or annual basis. In that case, interest would be earned regularly.

For example, bonds are essentially a loan made to the bond issuer (a company or government) by you, the bond holder. In return for the loan, the issuer agrees to pay interest, often annually. Bonds have a maturity date, at which time the issuer pays back the original bond value.

EXERCISES

Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $1,000 bond that pays 5% interest annually that matures in 5 years. How much interest will you earn?

Show Solution

Further explanation about solving this example can be seen here.

Step-by-step explanation:

all such triangles inscribed into a circle with their baseline being the diameter of the circle, must be right-angled. the 90 degree angle is at C.

the other thing is that the sum of all angles in a triangle is always 180 degrees.

so,

B = 180 - 90 - 20 = 70 degrees

In coordinates, the first number is the x and the second one is y. In (4,2), 4 is the x and 2 is the y. The x axis goes from left to right and the y axis goes from up to down.

Answer:

Step-by-step explanation:

50% = 1/2

235 * 2 = 470