Monday
Ms. Paulsen had 80 paper clips in her desk drawer. She used 39 of them on
papers.
How
many paper clips does Ms. Paulsen have in her desk drawer now?

Answer:

D. y=-1/2x+5

Step-by-step explanation:

Slope-Intercept Form: y=mx+b

Line passes through y-axis at (0,5) so the "b" part of the equation is positive 5 on the y-axis. Slope is -1/2 so "m" is -1/2.

Step-by-step explanation:

Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.

So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.

So |x| can't be less than -4 as |x| is always positive . So the statement is false.

The expression |x| < -4 is false because all Positive numbers are greater than all negative numbers.

The modulo of a number x as denoted by; |x| is the positive value of number x irrespective of the value of x.

Hence, the number x, whether positive or negative becomes a positive number and hence;

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Answer:

if x: 10 y: 202 then...

x: 30 y: 374.858 burned calories.

therefore, 375 calories.

About 375 calories burned for an individual who spent 30 minutes weight lifting

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given,

ý= 8.6067x +116.6567  the average number of calories burned by

a 160 lb individual.

In the given equation x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.

We need to find the approximate calories burned for an individual who spent 30 minutes weight lifting

To find this we just need to put x value as 30

ý= 8.6067(30)+116.6567

y=258.201+116.6567

y=374.85

y=375

Hence, about 375 calories burned for an individual who spent 30 minutes weight lifting

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Answer:

28

Step-by-step explanation:

the ratio is written as copies/dollars.

14/4=x/8

since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.

14/4=28/8

Answer:

34 yd²

Step-by-step explanation:

Area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of outer rectangle = L*W = 13*6 = 78 yd²

Area of inner rectangle = L*W = 11*4 = 44 yd²

Area of the shaded region = 78 - 44 = 34 yd²

Answer:

61%

Step-by-step explanation:

First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.

Answer:

30 hours

Step-by-step explanation:

The equation we use is 1/15 + 1/x = 1/10. X being the amount of time it takes Ian alone. X works out to 30 hours which is the answer

Answer:

12

Step-by-step explanation:

10x - 20 + 6x + 8 = 180

Supplementary angles

Answer:

x = 12

Step-by-step explanation:

The two given angles create a straight line (Definition of Straight Line). This means that:

\((10x - 20) + (6x + 8) = 180\)

First, combine like terms. Like terms are terms that share the same amount of the same variables:

\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 12 to both sides of the equation:

\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)

Next, divide 16 from both sides of the equation:

\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)

12 is your answer.

~

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Answer:

Thanks

Step-by-step explanation:

Thanks

The maturity risk premium on the three-year treasury security is 0.61%.

To calculate the maturity risk premium, we need to first calculate the expected nominal interest rate over the next three years, using the formula:

nominal interest rate = real risk-free rate + inflation premium

So, the expected nominal interest rate for the next three years is:

nominal interest rate = 1.2% + 0.6% = 1.8%

Next, we need to calculate the expected average annualized rate of return on a three-year treasury security, which is equal to the expected nominal interest rate. In this case, it is 1.8%.

Finally, we can calculate the maturity risk premium, which is the difference between the yield on a longer-term security and the yield on a shorter-term security with the same credit quality. In this case, we are comparing the yield on a three-year treasury security to the yield on a one-year treasury security.

Let's assume that the one-year treasury security currently earns 1.5 percent. Then, the maturity risk premium for the three-year treasury security would be:

maturity risk premium = yield on three-year treasury security - yield on one-year treasury security

maturity risk premium = 2.11% - 1.5%

maturity risk premium = 0.61%

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Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

\(\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2\)

Answer:

uy(-6u-y-22uy)

Step-by-step explanation:

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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The volume of the cone is 37.68 cubic millimeters when  a cone with height of 3 millimeters and slant height of 5 millimeters.

Volume of cone =πr²h/3

Where h is the height and r is radius of cone.

We have slant height, with this we find the height.

5²=3²+h²

25=9+h²

16=h²

Take square root on both sides.

h=4

Now plug in the value of h and r in volume.

V=1/3×3.14×3²×4

=113.04/3

=37.68 cubic millimeters.

Hence, the volume of the cone is 37.68 cubic millimeters.

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Answer:

.88, 88/100, 88%

Step-by-step explanation:

If you take 12% out of 100% you get 88%, 88/100, or .88. This is the amount he has not spent. You could write the fraction as 44/50.

Answer: $314,901

Step-by-step explanation: 3.7% of $327,000 is $314,904

SOH CAH TOA

sin(P) = opp./hyp. = 5/13

tan(T) = opp./adj. = 12/5

cos(T) = adj./hyp. = 5/13

The probability that exactly 4 seeds out of 9 planted won't grow is 1.57%.

Let X be the number of seeds that don't grow.

X follows a binomial distribution with parameters n=9 and p=0.15 (the probability that a seed doesn't grow).

So, probability of exactly 4 seeds not growing is:

P(X=4) = \(9C4 * (0.15)^4 * (1-0.15)^5\)

P(X=4) = 70 * 0.00050625 * 0.4437053125

P(X=4) = 0.01572380701

P(X=4) = 1.57%

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Answer:

Gerald should expect the spinner to land on 3, 126 times.

Step-by-step explanation:

Because we don't know what's actually going to happen, we can determine the theoretical probability by multiplying 1/5 by 630 to get 126.

Answer:

126

Step-by-step explanation:

Given that all of the spaces are equally sized, each space has an equal chance of being landed on by the spinner. As there are 5 spaces, the probability of landing on any one space is 1/5. This means that one fifth of the number of spins are expected to land on 3.

630 × 1/5 = 126

Answer:

n < -11

Step-by-step explanation:

n + 7 < -4

n < -11  (subract 7 from both sides)

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

False

Step-by-step explanation:

Negative and Negative  always equals positive

Negative and positive always equal negative

Answer:

is correct

x^3 -7x^2+2x +40

multiply the constants of the factors (each factor has opposite sign of the zero)

(x+2)(x-4)(x-5)   2(-4)(-5) = 40,  that eliminates all but c) and d)

(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5)   by using FOIL on the 1st two factors

then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)

-5 times -2x = 10x,  x times -8 = -8x.   10x-8x = 2x which c) has but d) doesn't.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, you have to find the combine like terms use the distributive property.

Distributive property:

Add the numbers from left to right.

\(\sf{9q^2+4q^2=13q^2}\)

\(\Longrightarrow \boxed{\sf{7p^2+13q^2-4p}}}\)

Therefore, the final answer is 7p²+13q²-4p.

I hope this helps, let me know if you have any questions.

Simplification of polynomials

Polynomials are mathematical expressions made up of many terms.

To simplify a polynomial as much as possible, we group all the terms like terms and rearrange them from lowest to highest power.

Since to solve this polynomial, we place the similar terms very well and add them, then

In this polynomial only 9q² + 4q² are like terms, so we add them.

Answer:

conscience sampling method was used

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The ordered pair for which the statement is true is :

llet's plug the value of x and y from ordered pair to check if the equation holds true for it.

that is

now, we can say that the the ordered pair (4 , 1) holds true for given equation " y = 2x - 7 ".

The circumference of a circle can be calculated with:

Where "r" is the radius of the circle.

Then, you need to divide the circumference by 2, because you need to find it in order to calculate the perimeter (as you can see in the picture). In this case:

Then:

Now you can add the lengths shown in the picture in order to calculate the perimeter of the figure. This is:

The answer is: