Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.

Answer:

.33 cents

Step-by-step explanation:

Answer:

Increased by, added, brought up (All I know of haha)

Step-by-step explanation:

Theres really no explanation to this other than learning your mathematical terms.

Answer:

62.5%

Convert fraction (ratio) 2.5 / 4 Answer: 62.5%

Step-by-step explanation:

Creating a ratio to represent the amount he was specifically off by, which inherently gives you John's percent error.

Answer:

13.3

Step-by-step explanation:

[tex] a^2 = b^2 + c^2 - 2bc \cos A [/tex]

[tex] a^2 = 8^2 + 18^2 - 2(8)(18) \cos 43^\circ [/tex]

[tex] a^2 = 64 + 324 - 288(0.73135) [/tex]

[tex] a^2 = 388 - 210.6299 [/tex]

[tex] a^2 = 177.370 [/tex]

[tex] a = \sqrt{177.370} [/tex]

[tex] a = 13.318 [/tex]

Answer: 13.3

Answer:

area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

Step-by-step explanation:

We have

a = 4 cm

b = 8cm

h = 6cm

We need to find area of trapezoid

The formula used is: [tex]Area=\frac{a+b}{2}\:h[/tex]

Putting values and finding expression:

We will not be solving the expression as question required just to find the expression by putting respective values.

[tex]Area=\frac{a+b}{2}\:h\\Area=(\frac{4+8}{2})\:\times 6[/tex]

So, area of trapezoid is  [tex]\mathbf{Area=(\frac{4+8}{2})\times 6}[/tex]

Cut each sandwich into thirds.

Hopefully, your friends aren't very hungry

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to  c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

The rate of growth or decay, r, is equal to

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

[tex]V(x) = V(0)(1-r)^x[/tex]

In which V(0) is the initial value and r is the decay rate. So

[tex]V(x) = 1000(1-0.2)^x[/tex]

[tex]V(x) = 1000(0.8)^x[/tex]

We want to find x for which V(x) = 512. So

[tex]V(x) = 1000(0.8)^x[/tex]

[tex]512 = 1000(0.8)^x[/tex]

[tex](0.8)^x = \frac{512}{1000}[/tex]

[tex](0.8)^x = (0.512)[/tex]

Applying log to both sides:

[tex]\log{(0.8)^x} = \log{(0.512)}[/tex]

[tex]x\log{0.8} = \log{(0.512)}[/tex]

[tex]x = \frac{\log{0.512}}{\log{0.8}}[/tex]

[tex]x = 3[/tex]

So it will take 3 years.

Step-by-step explanation:

[tex]47.1 = 2\pi \times r \\ r = \frac{47.1}{2\pi} = 7.4962996 \\ diameter = 2 \times r \\ = 14.99 = 15 \: feet[/tex]

Answer:

High possibility it is A, C, D. I apologize if wrong

Step-by-step explanation:

Answer:B, C, E

Step-by-step explanation:

Answer:

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form  or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means------> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem

Answer:

Have a nice day! Answer is above good luck:)

Answer:

0.5

Step-by-step explanation:

0.21=42%

0.21/42=1%

0.005=1%

0.005 x 100 = 100%

0.5=100%

0.5

Answer:

The length is one

Step-by-step explanation:

The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1

Answer:

41

Step-by-step explanation:

Answer:

18+516+38=18+554=572

Answer:

Length = 13.5 m

Width = 4.5 m.

Step-by-step explanation:

Use an equation in x, where x = width of the table.

Length =  3x, so:

2*3x + 2x = 36

6x + 2x = 36

8x = 36

x = 36/8 =  4.5 metres.

So the length = 3*4.5 = 13.5 and width = 4.5 m.

Length = 13.5 m

Width = 4.5 m.

A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter.

Given, The length of a rectangular table is 3 times its width. If the total perimeter of the table is 36 meters.

Use an equation in B, where B = width of the table.

Length =  3B,

2*3B + 2B = 36

6B + 2B = 36

8B = 36

B = 36/8 =  4.5 meters.

So the length = 3*4.5 = 13.5 and width = 4.5 m.

Therefore, the length and the width of the given rectangle are 4.5 and 13.5 respectively.

Learn more about perimeter here:

https://brainly.com/question/9369181

#SPJ2

Answer:

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram

Explanation:

A rectangle just like a square has diagonals that bisect each other and they are congruent( two lines are congruent if they are equal). A parallelogram is a quadrilateral with parallel sides and when its diagonals intersect, they are congruent too. Therefore a rectangle with diagonals that bisect each other is not necessarily a parallelogram.

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Honestly, for me, it just provides bragging rights. Also, I guess it makes you feel better about getting your rank higher. (～￣▽￣)～

____________________________________________________________

正直なところ、私にとって、それは自慢する権利を提供するだけです。また、ランクを上げることで気分が良くなると思います。(～￣▽￣)～

Answer:

Step-by-step explanation:  You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.

______________________________

Have a nice day!

Answer: Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26

I hope this helped!

Step-by-step explanation:

Answer:

The expression is: [tex]P(t) = 693e^{0.3662t}[/tex]

The initial number of strands is 693

Step-by-step explanation:

A bacterial culture is known to grow at a rate proportional to the amount present.

This means that the bacterial model can be modeled by the following equation:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population, and r is the growth rate.

After one hour, there are 1000 strands of bacteria

This means that [tex]P(1) = 1000[/tex], So

[tex]P(0)e^{r} = 1000[/tex]

[tex]P(0) = \frac{1000}{e^{r}}[/tex]

After four hours, 3000 strands.

This means that P(4) = 3000. So

[tex]P(0)e^{4r} = 3000[/tex]

Since [tex]P(0) = \frac{1000}{e^{r}}[/tex], we have that:

[tex]\frac{1000}{e^{r}}e^{4r} = 3000[/tex]

[tex]\frac{e^{4r}}{e^{r}} = \frac{3000}{1000}[/tex]

[tex]e^{4r-r} = 3[/tex]

[tex]e^{3r} = 3[/tex]

[tex]\ln{e^{3r}} = \ln{3}[/tex]

[tex]3r = \ln{3}[/tex]

[tex]r = \frac{\ln{3}}{3}[/tex]

[tex]r = 0.3662[/tex]

The initial population is:

[tex]P(0) = \frac{1000}{e^{0.3662}} = 693[/tex]

The expression is:

[tex]P(t) = 693e^{0.3662t}[/tex]

The equation becomes [tex]y=694(1.44)^t[/tex]. The initial number of strands is 694.

An exponential growth is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the number of strands after t hours.

After one hour, there are 1000 strands of bacteria:

1000 = ab¹

ab = 1000    (1)

After four hour, there are 3000 strands of bacteria:

3000 = ab⁴

ab⁴ = 3000    (2)

Dividing equation 2 by 1:

b³ = 3

b = 1.44

ab = 1000

a = 1000/b = 1000/1.44 = 694

The equation becomes [tex]y=694(1.44)^t[/tex]

Find out more at: https://brainly.com/question/12490064

Answer:

38 degrees

Step-by-step explanation:

just know

Answer:

A is the answer because divide 7 divided by 3 a

Answer: 4 zeros

Step-by-step explanation:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0    

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7  

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Answer:

P = 8.6 m

Step-by-step explanation:

Given that,

The length of a rectangle = 2.5 m

The width of a rectangle = 1.8 m

We need to find the perimeter of the rug. The perimeter of a rectangle is given by :

P=2(l+b)

= 2(2.5+1.8)

= 8.6 m

So, the perimeter of the rug is 8.6 m.