how many miles can you drive in 1/2 hour

Answer:

part 1

circle, 11

part 2

decrease

Step-by-step explanation:

Answer:

The values of a and b are:

Step-by-step explanation:

Given the exponential model

[tex]y=a\cdot \:b^x[/tex]

Given the points

(0, 2) and (3, 128)

We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).

so

a = 2

putting x = 3, y = 128 and a = 2

[tex]y=a\cdot \:b^x[/tex]

[tex]128=2\cdot \:b^3[/tex]

Switching sides

[tex]2b^3=128[/tex]

[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]

[tex]b^3=64[/tex]

Taking the real value such as:

[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]

so

[tex]b=\sqrt[3]{64}[/tex]

[tex]b=\sqrt[3]{4^3}[/tex]

[tex]b=4[/tex]

Therefore,

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

Answer:

Step-by-step explanation:

Equity loan amount = $24,000.

percentage paid off  = 20%

Required

The amount paid off

The amount paid off = 20% of the loan amount

Amount paid off = 20/100 * 24000

Amount paid off = 0.2 * 24000

Amount paid off = 4800

Hence the amount of the loan paid off is $4,800

Answer:

 [tex]y= -\frac{1}{3}x -6[/tex]

Step-by-step explanation:

Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!

I added in the slope formula at the bottom, just in case, so you'll see what I mean!

I hope this helps, and I explained enough! Have a great day c:

Answer:

IF YOU ARE TALKING ABOUT ANGLES 1 AND 2

They add up to 180 degrees

if you want the measures of them, ANGLE 1 = 140 degrees    ANGLE 2 = 180-140=40 degrees

Step-by-step explanation:

They are Supplementary angles, which means they add up to 180 degrees

HOPE THIS HELPPPSSSSSSSSSSS

Answer:

The answer is 230.14

Easy long division

Answer:

4350

Step-by-step explanation:

Linda's net and first term of the expression is correct and the surface area of the attic is 4425 square feet.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given the attic of Linda's home.

Attic is in the shape of triangular prism.

The net that Linda drawn is correct since she expresses all the measurements right in the net.

So, the net Linda drew is correct.

We can find the surface area from the net of the prism.

Net of the prism consists of 2 identical triangles, 2 identical rectangles and a rectangle.

Area of triangle is  [tex]\frac{1}{2}[/tex] × base × height and that of rectangle = length × width

Area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 25 × 15 = 25 × 15

Area of rectangles = (45 × 40) + (45 × 25) + (45 × 25)

                               = 45(40 + 25 + 25)

Total surface area = 45(40 + 25 + 25) + (25 × 15)

The first term of Linda's expression, 45(40 + 25 + 25) is correct.

The second term of Linda's expression, ([tex]\frac{1}{2}[/tex] × 25 × 15) is not correct.

Surface area of the attic = 45(40 + 25 + 25) + (25 × 15)

                                        = 4425 square feet

Hence the surface area of the attic is 4425 square feet.

Learn more about Surface Area here :

https://brainly.com/question/28307440

#SPJ7

The complete question is given below.

Answer:

Hi,

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

Where  represents the value of   for when   is equal to zero.

Therefore, 8795 can be considered the initial value for production.

Step-by-step explanation:

The graph of a linear function is the same as the example below:

As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)

The value of [tex]m[/tex]  represents the rate of change of the function and is linked to the slope of the line.

Any questions just ask in the comments.

Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.

The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.

325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.

Read related link on:

https://brainly.com/question/13151761

Answer

10

Step-by-step explanation:

it takes 3/4 of a cup to make a mini loaves of bread and 3/4 is about one cup so 10

The number of mini-loaves that he could make with 10 cups of flour will be 25 cups.

From the complete information, it was stated that 1 cup of flour can be used to make 2.5 loaves.

Therefore, based on the information given, in order to calculate the number of mini-loaves that he could make with 10 cups of flour, we've to multiply the values. This will be:

= 2.5 × 10 = 25

In conclusion, the correct option is 25 cups.

Read related link on:

https://brainly.com/question/15546607

Divide total length by cut length:

9 / 2/3

= (9 x 3)/2 = 27/2 = 13.5

He can cut 13 pieces

Answer:

don't know

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

I dont know what are the statements add more detail to the question then I will answer

Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            [tex]H_o : p = 0.05[/tex]

Versus

                          [tex]H_1 : p \ne 0.05[/tex]

Use α = 0.05. Find the P-value for the test

Answer:

The  p-value is  [tex]p-value = 0.5949[/tex]        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        [tex]\^ p = \frac{k}{n}[/tex]

=>     [tex]\^ p = \frac{13}{300}[/tex]

=>     [tex]\^ p = 0.0433[/tex]

Generally the standard Error is mathematically represented as

       [tex]SE = \sqrt{\frac{p(1- p)}{n} }[/tex]

=>     [tex]SE = \sqrt{\frac{0.05(1- 0.05)}{300} }[/tex]

=>     [tex]SE = 0.0126[/tex]

Generally the test statistics is mathematically represented as

       [tex]z = \frac{\^ p - p }{SE}[/tex]

=>     [tex]z = \frac{0.0433 - 0.05 }{0.0126}[/tex]

=>     [tex]z = -0.5317[/tex]

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         [tex](P < -0.5317 ) = 0.29747[/tex]

Generally the p-value is mathematically represented as

       [tex]p-value = 2 * P(Z < -0.5317 )[/tex]

=>     [tex]p-value = 2 * 0.29747[/tex]

=>     [tex]p-value = 0.5949[/tex]        

Answer:

∠1 = 107

∠2 = 73

Step-by-step explanation:

Answer:

a. 50 - 4h < 32

Step-by-step explanation:

The question is "When will the temperature be below 32F?" so it can't be less than or equal to (≤), it has to be less than (<).

If the temperature is decreasing every hour you have to decrease 4 for each hour.

hope that helps!

Answer:

no

Step-by-step explanation:

No, because none of the factors of 29 equal to -1

Answer: Add 11 to the other side of the equation, giving you 81. Then, since x is square you are going to need to square root both sides ([tex]\sqrt{x}[/tex] this symbol). When you do that, you should get what x is! Let me know if you still need help!

Answer:

[tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 52[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 12, 16, 20, 24[/tex]

Solving (a): Write a formula

The above sequence shows an arithmetic progression

Hence:

The formula can be calculated using:

[tex]T_n = a + (n - 1) d[/tex]

In this case:

[tex]a = First\ Term = 12[/tex]

Difference (d) is difference of 2 successive terms

So:

[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]

[tex]d = 4[/tex]

Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]

[tex]T_n = 12 + (n - 1) * 4[/tex]

Open Bracket

[tex]T_n = 12 + 4n - 4[/tex]

Collect Like Terms

[tex]T_n = 12 - 4+ 4n[/tex]

[tex]T_n = 8+ 4n[/tex]

Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]

Solving (b): 11th term

This implies that n = 11

Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 8+ 4 * 11[/tex]

[tex]T_{11} = 8+ 44[/tex]

[tex]T_{11} = 52[/tex]

Answer:

A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].

B) The 11th term of the sequence is 62.

Step-by-step explanation:

A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:

[tex]f(n) = f(0) +r\cdot n[/tex] (1)

Where:

[tex]f(0)[/tex] - First value of the sequence, dimensionless.

[tex]r[/tex] - Arithmetic increase rate, dimensionless.

[tex]n[/tex] - Term of the value in the sequence, dimensionless.

If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:

[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]

B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:

[tex]f(10) = 12+4\cdot (10)[/tex]

[tex]f(10) = 62[/tex]

The 11th term of the sequence is 62.

Answer:

The anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Step-by-step explanation:

Given the function

[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]

Taking the anti-derivative of f(x)

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

Solving

[tex]\int 10x^4dx[/tex]

[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]

[tex]=10\cdot \int \:x^4dx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

[tex]=2x^5[/tex]

similarly,

[tex]\int 12.5dx[/tex]

[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]

[tex]=12.5x[/tex]

so substituting these values

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

                                [tex]=2x^5+12.5x[/tex]

                               [tex]=2x^5+12.5x+C[/tex]   ∵ Add constant to the solution

Therefore, the anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Answer: Increases in X tend to be accompanied by increases in Y

Step-by-step explanation:

The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.

When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.

Answer:

The instantaneous rate of change as x approaches 3 is 18.

Step-by-step explanation:

From Differential Calculus and Geometry we remember that instantaneous rate of change of the function is represented by a tangent line, whose slope is determined by the first derivative of the curve. Let [tex]f(x) = 3\cdot x^{2}[/tex], the instantaneous rate of change of the function when x approaches 3 is deducted from the definition of derivative:

[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)

[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}[/tex]

[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x^{2}+2\cdot x\cdot h +h^{2})-3\cdot x^{2}}{h}[/tex]

[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot x^{2}+6\cdot x\cdot h+3\cdot h^{2}-3\cdot x^{2}}{h}[/tex]

[tex]f'(x) = \lim_{h\to 0} \frac{6\cdot x\cdot h +3\cdot h^{2}}{h}[/tex]

[tex]f'(x) = \lim _{h\to 0} (6\cdot x+3\cdot h)[/tex]

[tex]f'(x) = 6\cdot x \cdot \lim_{h\to 0} 1 + 3\cdot \lim_{h\to 0} h[/tex]

[tex]f'(x) = 6\cdot x[/tex] (2)

If we know that [tex]x = 3[/tex], then the instantaneous rate of change as x approaches 3 is:

[tex]f'(3) = 6\cdot (3)[/tex]

[tex]f'(3) = 18[/tex]

The instantaneous rate of change as x approaches 3 is 18.

Answer:

280

Step-by-step explanation:

Month 1: 100 + 30 = 150

Month 2: +30

Month 3: +30

Month 4: +30

Month 5: +30

Month 6: +30

Total: 280

Hope this helps!

Answer:

$280

Step-by-step explanation:

For this problem, we simply need to take the initial cost of membership and add that to the reoccurring cost from a time period, in this case, 6 months.  So let's make an equation to represent this.

The initial cost is $100

The per month cost is $30

Total cost after 6 months = Inital cost + Per Month Cost * 6 months

Total cost = $100 + $30 * 6

Total cost = $100 + $180

Total cost = $280

Thus, a member will spend $280 after 6 months on the membership.

Cheers.

Answer:

he will fill 6 pitchers

Step-by-step explanation:

4.8÷0.8=6

Answer:

1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x

Step-by-step explanation:

Answer:do yo use I’ll need help

Step-by-step explanation:

Answer:

Is this in a different language?

Step-by-step explanation:ok:)