Find the width of a cereal box that has a volume of 2,310 cm3 and is 22 cm long and 21 cm high.

Answer:

FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A

Step-by-step explanation:

Answer:

y=e^x - 4

Step-by-step explanation:

The log functions decrease with increasing x.  The line shown increases as x increases, so it must be one of the two e^x equations.  We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.

The graph shows the line crossing the y axis at -3 (0,-3)

It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).  

When x=0, e^0 = 1.  

Look at the point (0,-3):  

We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4:  The form e^x - 4  would yield a value for y, when x is 0, of y = 1 - 4 or -3.

Check the other point (1.4,0):

y = e^1.4  is equal to 4.00

y = 4.00 - 4

y = 0

This point is also correct (1.4,0)

The correct equation is y=e^x - 4

Answer:

The answer should be A

Step-by-step explanation:

Hope this helps.Tell me if its wrong.

The population growth has been steadily increasing for the past 25 years is not supported by this diagram. Correct option is A.

The diagram does not provide information about the population growth trends for the past 25 years. It only shows the population pyramid at a specific point in time, with age and gender distributions. It does not indicate the population growth rate over the last 25 years or whether it has been increasing steadily during that period.

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Answer: the ratio is 6:4

Step-by-step explanation:

the amount of large bones is 4 so:4 and the number of small bones is 6 so  6:

so the answer is 6:4

Answer:

3:2

Step-by-step explanation:

4/2=2

6/2=3

find the common factor which is 2, divide both by 2

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The most likely dates of the full moons will be C. February 25, March 27, April 25, and May 24.

It should be noted that a full moon simply means the lunar phase when the moon appears illuminated from the perspective of the Earth.

In this case, the most likely dates of the full moons will be February 25, March 27, April 25, May 24. The Full moon usually lasts for a night.

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Answer

To solve the equation, factor x

2

−7x+12 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−7

ab=12

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.

−1,−12

−2,−6

−3,−4

Calculate the sum for each pair.

−1−12=−13

−2−6=−8

−3−4=−7

The solution is the pair that gives sum −7.

a=−4

b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−4)(x−3)

To find equation solutions, solve x−4=0 and x−3=0.

x=4

x=3

Step-by-step explanation:

Answer:

x = 98 degrees

Step-by-step explanation:

The sum of angles in a pentagon is 540 degrees. You can find this with the formula where n is the number of sides: 180(n-2). This formula will find the angle sum of a polygon. Now, since you know the value of every other angle except X, we can construct the equation 112+100+113+117+x=540

Solving this equation yields x=98 degrees

Sum of angles in a pentagon is 540°

x = 540 - (117+113+100+112)

x = 540 - 442

x = 98°

The function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x

According to the given question, we have the following parameters

Amount charged on tour guide = $245

Let the total number of club members charged be "x", such that if the company charges $35 per person, the total cost on "x" members will be 35x

Total cost =  Amount charged on tour guide + cost of "x" members

Total cost = 245 + 35x

Hence the function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x

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Answer:

b = 10 ft , h = 6 ft

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

let base = b theh height h = b - 4

given A = 30 , then

[tex]\frac{1}{2}[/tex] b(b - 4) = 30 ( multiply both sides by 2 to clear the fraction )

b(b - 4) = 60 ← distribute parenthesis on left side by b

b² - 4b = 60 ( subtract 60 from both sides )

b² - 4b - 60 = 0

(b - 10)(b + 6) = 0

equate each factor to zero and solve for b

b - 10 = 0 ⇒ b = 10

b + 6 = 0 ⇒ b = - 6

however, b > 0 , then b = 10

and h = b - 4 = 10 - 4 = 6

then base is 10 ft and height is 6 ft

Answer:

17.0 m/s

Step-by-step explanation:

Using SUVAT:

[tex]s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s[/tex]

[tex]\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}[/tex]

Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

a. Car's sticker price:

Using this formula

Car's sticker price=Base price+Options cost+Destination charge

Let plug in the formula

Car's sticker price=$16,558. 16 + $611. 60+$475. 00

Car's sticker price=$17,644.76

b. Dealer price:

Dealer's price=Percent of base price+Percent of options cost+Destination charge

Let plug in the formula

Dealer price=16,558. 16+$611. 60+$475.00

Dealer price=$16,246.7152

Dealer price=$16,246.72 (Approximately)

Inconclusion  the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.

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Answer:

I think it would be B

Step-by-step explanation:

Because if you look at it neither of the x or y's are the same and if you multiply the second equation by 2 than you would have the same y in both problems which is 4y

Answer:

[tex]C=30.536\ ft[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

[tex]A = \pi *r^2[/tex]

[tex]74.2\ ft^2=\pi *r^2[/tex]

[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]

[tex]23.619\ ft^2=r^2[/tex]

[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]

[tex]4.8599\ ft=r[/tex]

Step 2:  Determine the circumference

[tex]C=2*\pi *r[/tex]

[tex]C=2*\pi *4.8599\ ft[/tex]

[tex]C=30.536\ ft[/tex]

Answer:  [tex]C=30.536\ ft[/tex]

Answer:

y = 2 x ± [tex]\sqrt{2}[/tex]   =± 2.8284

Step-by-step explanation:

y*y/4+15-(17)=0

Answer:

[tex]4 + 15 \div y = 17 \\ \\ 4 + 15 = 17y \\ \\ 19 = 17y \\ \\ y = \frac{19}{17} [/tex]

The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.

The area of a rhombus can be represented mathematically as follows:

area of a rhombus  = ab / 2

where

a = 6 + 6 = 12 cm

Therefore, let's find b

tan 45 = opposite / adjacent

tan 45 = 6 / x

x = 6 / tan 45

x = 6 / 1

x = 6

b = 6 + 6 = 12 cm

Therefore,

area = 12 × 12 / 2

area = 144 / 2

area = 72 cm²

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Answer:

f = 79

Step-by-step explanation:

You need to perform one-step equations process

146 + f = 225 (You're trying to solve for "f")

*First way, you could subtract both sides by 146 which makes the 146 cancel out then do 225-146 = 79. So f is 79

*A rule to remember is that the opposite of addition is subtraction. If you move 146 to 225 side you must switch it to negative 146.

Jim's cards increased more

Answer:

21.5 square units

Step-by-step explanation:

The 4 circles touching eachother have a total combined length of 20.

There are 4 circles. 20/4 = 5. The diameter of each circle is 5 units.

The length ofthe rectangle is 20 units. the width of the rectangle is 5 units.

The area of the shaded region is the area of the rectangle minus the ares of 4 circles.

A = area of rectangle - area of 4 circles

A = LW - 4 × πr²

The radius of each ciorcle is d/2 = 5/2 = 2.5

A = 20 × 5 - 4 × 3.14 × 2.5²

A = 100 - 78.5

A = 21.5

Answer:

1.2 kilograms

Step-by-step explanation:

1 kilogram is equal to 1000 grams

Therefore we can divide the weight by 1000 in order to find the amount of kilograms

1200/1000 = 1.2

Answer:

1.2

Step-by-step explanation:

1 gram is 0.001 kilograms

or 1000 kilograms to a gram

so 1200 grams is 1.2 kilograms

Answer:

b =28.28

Step-by-step explanation:

SinA/x = sinB/x

Sin30°/20=sin45°/b

Cross multiplication

20×sin45=b×sin30

20×sin45/sin30 =b

b=28.28

Answer:

300 is the answer

Step-by-step explanation:

area of triangle-BxH/2

area of square- LxW

10x10=100/2=50

50x4=200

+100

=300

Answer:

for every 21 votes for A there were 6 for b or 9 for c

Step-by-step explanation:

63 divided by 3

18 divided by 3

27 divided by 3

Answer:

what exactly are you looking for?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

pi = 3.14

d = 10 cm

h = 2*d

Formula

The combined formula is given below.

SA = 2*pi*r^2  +  2*pi*r * h

Conversions

d = 10 cm

h = 2*10

h = 20 cm

r = d/2

r = 10 / 2

r = 5cm

Solution

SA = 2*pi*r^2  +  2*pi*r * h

SA = 2*3.14*5^2 + 2*3.14*5*20

SA = 157 + 628

SA = 785 cm^2

Answer: The surface area is 785 cm^2

Answer:

the surface area is 250 Pi square centimeters

Answer:

Yes, at positive x coordinates

Step-by-step explanation:

Find the equation of g(x)

Given ordered pairs of g(x):  (-1, -22)  (0, -20)  (1, -18)

[tex]\sf let\:(x_1,y_1)=(0,-20)[/tex]

[tex]\sf let\:(x_2,y_2)=(1,-18)[/tex]

[tex]\sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-18-(-20)}{1-0}=2[/tex]

Point-slope form of linear function: [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-(-20)=2(x-0)[/tex]

[tex]\implies \sf y=2x-20[/tex]

Substitute the equation of g(x) into the equation of the circle and solve for x

Given equation:  [tex]y^2+x^2=100[/tex]

[tex]\implies (2x-20)^2+x^2=100[/tex]

[tex]\implies 4x^2-80x+400+x^2=100[/tex]

[tex]\implies 5x^2-80x+300=0[/tex]

[tex]\implies x^2-16x+60=0[/tex]

[tex]\implies x^2-10x-6x+60=0[/tex]

[tex]\implies x(x-10)-6(x-10)=0[/tex]

[tex]\implies (x-6)(x-10)=0[/tex]

Therefore:

[tex](x-6)=0 \implies x=6[/tex]

[tex](x-10)=0 \implies x=10[/tex]

So the linear function g(x) will intersect the equation of the circle at positive x coordinates.

Answer:

[tex](x+4)^2+3=0[/tex]

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: [tex]ax^2+bx+c[/tex]

So order to complete the square, you need to take the [tex]b[/tex] term out of the equation, divide it by two, and then square it

In this case, the [tex]b[/tex] term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

[tex]x^2+8x+16+19=16[/tex]

Now you can simplify the LHS

[tex](x+4)^2 +19=16[/tex]

Now you subtract 16 from both sides

[tex](x+4)^2+3=0[/tex]

So this is as far as you can go since you cannot take the square root of a negative number

option B

hope it helps...!!!

Answer:

1/10 of the class

Step-by-step explanation:

We already know:

Determining the fraction of the total students rides on school bus

[tex]\implies\dfrac{7}{10} = \text{Walk}[/tex]                              [tex]\dfrac{10}{10} - \dfrac{7}{10} = \boxed{\dfrac{3}{10}} \ \text{students remain}[/tex]

[tex]\implies\dfrac{1}{5} = \dfrac{2}{10} = \text{Ride bikes}[/tex]              [tex]\dfrac{3}{10} - \dfrac{2}{10} = \boxed{\dfrac{1}{10} }\ \text{student remain}[/tex]

Thus, 1/10 of the class rides on the bus.