It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480

Answer:

According to the question 25% of the students wore jackets.

Thus 25% of 12 wore jackets

The number of students can be found easily by multipling 12 with 25//100

12*25/100

12*1/4

12/4

thus, 3 students

Therefore, option 3 is correct

Answer:

y  =  − 2 /3 x  + 4

Step-by-step explanation:

Answer: y=-2/3x + 4

Step-by-step explanation:

Answer:

8^5 + 2 = Trisha's Tokens

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

8 x 5 +2

Answer: Can u post a question?

Step-by-step explanation:

Answer:

the answer is 0.4 The reason is because 0.4 x8=0.32

Step-by-step explanation:

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

X = a fisher at Clearwater Park had a fishing license

Y = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

        = 48 + 32

        = 80

N (Y) = n (Y) + n (Y')

        = 72 + 18

        = 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

[tex]P(X'\cap Y)=P(X')\times P(Y)[/tex]

                 [tex]=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32[/tex]

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Answer:

2 1/4

Step-by-step explanation:

(1) f(x) = (1 - x³) / (x - 1)

(a) The domain is the set of values that this function can take on. If x = 1, the denominator becomes 0 and the function is undefined. Any other value of x is okay, though, since for x ≠ 1, we have

f(x) = (1 - x³) / (x - 1) = - (1 - x³) / (1 - x) = -(x² + x + 1)

which is defined for all x. This also tells us that the plot of f(x) is a parabola with a hole at x = 1. So, the domain is the interval (-∞, 1) ∪ (1, ∞).

(b) The range is the set of values that the function actually does take on. Taking the simplified version of f(x), we can complete the square to write

-(x² + x + 1) = -(x² + x + 1/4 - 1/4) - 1 = -(x + 1/2)² - 3/4

which is represented by a parabola that opens downward, with a maximum value of -3/4. So the range is the interval (-∞, -3/4).

(c) Judging by the plot of f, the limits at both negative and positive infinity are -∞.

(d) Same answer as part (a).

(2) f(x) = x³ - x

(a) The derivative of f at x = 3, and hence the slope of the tangent line to this point, is

[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{f(3+h)-f(3)}h[/tex]

[tex]f'(3)\displaystyle=\lim_{h\to0}\frac{((3+h)^3-(3+h))-24}h[/tex]

[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{(27+27h+9h^2+h^3)-(3+h)-24}h[/tex]

[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{26h+9h^2+h^3}h[/tex]

[tex]f'(3)=\displaystyle\lim_{h\to0}(26+9h+h^2)=\boxed{26}[/tex]

(b) The tangent line at x = 3 has equation

y - f (3) = f ' (3) (x - 3)

y - 24 = 26 (x - 3)

y = 26 x - 54

We also want to find any other tangent lines parallel to this one, which requires finding all x for which f '(x) = 26. We could use the same limit definition as in part (a), but to save time, we exploit the power rule to get

f '(x) = 3 x² - 1

Then solve for when this is equal to 26:

3 x² - 1 = 26   ==>   x² = 9   ==>   x = ±3

The other tangent line occurs at x = -3, for which we have f (-3) = -24, and so the equation for the tangent is

y - f (-3) = 26 (x - (-3))

y + 24 = 26 (x + 3)

y = 26 x + 54

Answer:

W>16

Step-by-step explanation:

The formula for calculating the perimeter of a rectangle:

P = 2L+2W

L is the length of the rectangle

W is the width of the rectangle:

Given

P = 96m

If the length of a rectangle is 2 times the width, then L = 2W

Substitute into the formula:

Since the perimeter is less than 96m

96 < 2(2W)+2W

96 < 4W+2W

96 < 6W

Divide both sides by 6:

96/6 < 6W/6

16 < W

W>16

Hence the possible values of the width are all values greater than 16.

Answer:

39pounds 6oz

Step-by-step explanation:

15x2=30

1x30=30pounds

5x30=150oz

30p+150oz=39.37500

37500p=6oz

39pounds and 6 oz

Answer:

x=25

Step-by-step explanation:

First, we add all like terms. Then, we solve for x.

[tex]70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25[/tex]

We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.

Answer:

25. Hope this helps :)

Step-by-step explanation:

180-70=110

110-55=55

55-30=25

Your missing answer would be 25

X=25

Answer:

The answer is The first one -10/27

Answer:

A

Step-by-step explanation:

Answer:1

Step-by-step explanation:6-5/3-2=1/1

Answer:

3.2

Step-by-step explanation:

Imagine a straight line from the top of the pyramid to the base, the point where the line will meet the base will be half the side of the pyramid. This will form a right angles triangle.

Slope is given by

[tex]\text{Slope}=\dfrac{\Delta y}{\Delta x}\\\Rightarrow \text{Slope}=\dfrac{8.9}{\dfrac{5.6}{2}}=3.17857\\\Rightarrow \text{Slope}\approx3.2[/tex]

The slope of the face of the pyramid is 3.2

Answer:

Situation 3 is not functional

Step-by-step explanation:

Here, we want to determine if there exists a functional relationship between the properties in each situation.

For there to exist a functional relationship, then one of the factors in the situation must be dependent on the other factor in the situation.

Let us consider the situations individually now;

Situation 1

There exists a functional relationship here. This is because the higher the minutes used, the higher the cell phone bill and the lower the minutes used, the lower the cell phone bill. This is because there exists a fixed rate of charge per minute

Situation 2

There exists a functional relationship here too.

This is because, the we cannot find the perimeter of the square without knowing the measure of the sides of the square. That is why there is a mathematical formula that links the perimeter of the square to the sides of the square.

In a case where we have the perimeter as P and the sides as L

Then the functional equation linking both is;

P(l ) = 4 L

Situation 3;

There is no functional relationship here. The amount owed per each credit card is tied to the credit card in question.

There is no way the total amount owed by a person is distributed across the number of credit cards the person have. Each credit card has its own money charged on it monthly due to the activities on it which is independent on the activities of the other credit cards

Answer:

The vertex is (-5, -1)

Step-by-step explanation:

Standard vertex form is a(x - b)^2 + c where (b, c) is the vertex.

Answer:

AB, BC, AC

Step-by-step explanation:

Hopefully I helped!! :)

Answer:

[tex]22[/tex]

Step-by-step explanation:

If FG= 8

and GH=14

G is a midpoint

To find FH you would add 8 and 14.

[tex]8 + 14 = 22[/tex]

Answer:

add it FH +GH

=8+14

=22 ans.....

Answer:

24x+10y=98

2sunny days

5rainy days

Step-by-step explanation:

x=number of sunny days

y=number of rainy days

(2*24)+(10*5)=98

vualah :)

Answer:

15 cups of flour

Step-by-step explanation:

Answer:

[tex]-8,+735[/tex]

Step-by-step explanation:

The lowest point in New Orleans is 8 feet below sea  level.

This can be represented numerically using [tex]-8[/tex]

(negative sign denotes below sea level)

The highest point in Chicago is 735 feet above sea  level.

This can be represented numerically using [tex]+735[/tex]

(positive sign denotes above sea level)

Answer:

This is correct but if some people are confused it’s a negative integer and a positive integer

Step-by-step explanation:

Answer: is it a function-yes

why: none of the y values are the same

Step-by-step explanation:

Answer:

First, let's write our equation in a general way.

We know that:

1 cubic foot weighs 80 pounds.

The container weighs 40 pounds.

Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.

We can write this as:

w(n) = 40lb + n*80lb

This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.

You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.

Answer

ok, Just plot the points at (0,40) and (2,200) :))

Penjelasan langkah demi langkah:

1)

[tex]= 243^{\frac{2}{3} }\\= (\sqrt[3]{243})^2\\= 7^2\\= 49[/tex]

2) √32 +3√18-2√50

= √16*2 +3√9*2-2√25*2

= 4√2 + 3(3√2)-2(5√2)

= 4√2 + 9√2-10√2

= 13√2-10√2

= 3√2

3) 1000 ⅔×64⅙

 [tex]= (\sqrt[3]{1000}) ^2 \times (2^6)^{1/6} \\= 10^2 \times 2\\= 100 \times 2\\= 200[/tex]

4) 3/4+√2

[tex]3/4+\sqrt{2} \\= \frac{3+4\sqrt{2} }{4 }[/tex]

5) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

6) 12/3+√3

= 4+√3

7) √1000—2√40

= 10 -2 (√4*10)

= 10-2(2√10)

= 10 - 4√10

8) 2- ¹+3-¹

[tex]= \frac{1}{2} + \frac{1}{3}\\ = \frac{3+2}{6}\\ = \frac{5}{6}[/tex]

9)

[tex]\frac{5}{\sqrt{5} }\\ merasionalisasikan\\= \frac{5}{\sqrt{5} }\times \frac{\sqrt{5} }{\sqrt{5} }\\= \frac{5\sqrt{5} }{\sqrt{25} }\\= \frac{5\sqrt{5} }{5}\\ = \frac{\sqrt{5} }{1}[/tex]

Jika pernyataannya opsional, penyebutnya adalah 1

10) 2√3×√18

= 2√3×√9*2

= 2√3×3√2

= (2*3)(√3*√2)

= 6√6

Answer:

|0.05|

Step-by-step explanation:

no absolute value can be negative

Answer:

0.05

Step-by-step explanation:

The lines outside the number mean absolute value. The absolute value of a number is how far it is from 0, so it's always positive. Basically, you just swap the sign of whatever number you are looking at. In this case, absolute value of -0.05 would simply be 0.05. Hope this helped!

Answer:

-8

Step-by-step explanation:

A triangle is always 180 degrees

(btw I'm not sure if this is addition or multiplication so sorry if i'm wrong!)

65 + 40 = 105

180 - 105 = 75

75 - 83 = -8

Answer:

the angle itself is 75 degrees so x=-8

Step-by-step explanation:

Answer:

jessie: 14.5

ben: 10.5

Answer:

No it is the ticked one........

Hope it helps.......