If you are traveling at a speed of 50 miles per hour, how many feet per second is this?

Answer:

The exponent -9  makes the given statement true.

Step-by-step explanation:

We have been given an incomplete mathematical statement and we need to figure out the exponent for 5 on the right hand side to complete the statement.

The given incomplete statement is [tex]\frac{1}{5^{9}}=5^{?}[/tex].

Let us rewrite the left hand side of the expression by moving the exponential term to the numerator using exponent property. As per this property, if we shift an exponential term from denominator to numerator (or vice versa), the sign of exponent changes.

Therefore, we get:

[tex]5^{-9}=5^{?}[/tex]

Now that we have common bases on both the sides, we can equate the exponents. And upon equating the exponents, we can see that the 'question mark' should be replaced by -9 in order for statement to be true.

Therefore, exponent -9 on the right hand side will make the statement true.

Answer:

1/5^9 = 5^-9

Step-by-step explanation:

First divide 26.33 with 8 to find the cost per gallon

26.33/8 = ~3.29 (rounded).

Each gallon of gas costs $3.29

Next, multiply the cost per gallon with the amount of gallons, 20 in this case.

20 x 3.29 = 65.80

$65.80 is your answer

~Rise Above the Ordinary

split ∠ P into a ∠45° and a ∠60° with altitude PO. ΔPOK is isosceles and ΔPOS is 30-60-90. PO=6=KO Pk=6√2

Answer:

PK= 8.5

Step-by-step explanation:

The sum of interior angles in a triangle is 180 degree

[tex]m<k+m<p+m<s=180[/tex]

[tex]m<k+105+30=180[/tex]

[tex]m<k+135=180[/tex]

Subtract 135 from both sides

[tex]m<k=45[/tex]

Now use sine rule

[tex]\frac{sin A}{a} =\frac{sin B}{b}[/tex]

[tex]\frac{sin K}{PS} =\frac{sin S}{PK}[/tex]

[tex]\frac{sin(45)}{12} =\frac{sin(30)}{PK}[/tex]

Cross multiply

[tex]PKsin(45)}=12sin(30)[/tex]

[tex]PK =\frac{12sin(30)}{sin(45)}[/tex]

PK= 8.5

Answer:

B: Concepts with monetary value

Step-by-step explanation:

for future reference the exact meaning of intellectual property law is the rules for securing and enforcing legal rights to inventions, designs, and artistic works. it is obviously easy to draw the connections from the meaning to the answer B.

Intellectual property law protects intangible creations with monetary value, fitting best with answer B: Concepts with monetary value. It includes patents, trademarks, copyrights, and trade secret law, and is essential for creators and inventors to capitalize on their work.

Intellectual property law deals with the protection of intangible creations that have monetary value, such as art, written work, research findings, and ideas.

The correct answer to the question provided is B: Concepts with monetary value.

Intellectual property includes patents, trademarks, copyrights, and trade secret law which allow inventors and creators to produce, publish, and sell their work and inventions while preventing others from using them without authorization or compensation.

Countries across the globe have distinct laws protecting intellectual property, and organizations like the World Intellectual Property Organization (WIPO) strive to harmonize these laws internationally. Intellectual property is nonexcludable and non rivalrous in nature, often leading to positive externalities and offering private benefits to creators and inventors.

Answer:

  6 buckets

Step-by-step explanation:

Look at the ratio:

  1/3 cup kernels : 2 quarts popcorn

  2/3 cup kernels : 4 quarts popcorn : 1 bucket . . . . multiply by 2

  2 cups kernels : 3 buckets . . . . . . . . . . . . . . . . . . . . .multiply by 3

  4 cups kernels : 6 buckets popcorn . . . . . . . . . . . . multiply by 2

The question says that Frances gets 6 paychecks in 1 week.

To find the number of paychecks that Frances gets paid in 52 weeks we need to know the number of paychecks she gets each week.

She gets 6 paychecks each week,

So that means,

1 w = 6 paychecks

So, in 52 weeks she will get:

[tex]6 \times 52=312[/tex] paychecks.

Over the duration of 52 weeks, Frances gets 312 paychecks.

All the sides of a square are equal.

Perimeter of a square = 4(measure of 1 side)

Therefore if a square contains 4 sides, and the measure of one side is 2 inches, the perimeter is 8 inches. (2x4)

The definition of directly proportional is when one substance increases at the same rate of another substance. When a number is plugged into our formula, the perimeter increases.

Answer:

9, 7,-8.3,>

Step-by-step explanation:

5)-3 is marked exactly 3 units to the left of origin 0.

(since negative sign we mark on left of 0)

6) |-9| = absolute value of 9 = 9

7) y-11=-4

Add 11 to both the sides

WE get y =7 is the solution

8) a + b when a = 2.5 and b = -10.8.

= 2.5+(-10.8) = -(10.8-2.5) = -8.3

9) 0.4 is positive hence lies to the right of origin.

Partition the space between 0 and 1 into 10 equal subparts and mark 4th subdivision to get 0.4

10) -1.8>-2.5

Answer:

2.7 x 1016

Step-by-step explanation:

that's the answer

[tex]\cot(x)\sin(x)=\cos^3(x)+\cos(x)\sin^2(x)[/tex]

[tex]R=\cos(x)[\cos^2(x)+\sin^2(x)]=\cos(x)\cdot1=\cos(x)\\\\L=\dfrac{\cos(x)}{\sin(x)}\cdot\sin(x)=\cos(x)\\\\L=R\\\\\text{used:}\\\\\sin^2x+\cos^2x=1\\\\\cot x=\dfrac{\cos x}{\sin x}[/tex]

28/7=4km is car journey covered by car in 1l

64/4=16l

The car would use 16 liters of petrol to cover 64 km.

To find out how many liters of petrol the car uses to cover 64 km, we can set up a proportion using the given information. Since the car uses 7 liters of petrol to cover 28 km, we can say that the fuel consumption rate is 7 liters per 28 km. To find out the fuel consumption rate for 64 km, we can set up the proportion:

7 liters / 28 km = x liters / 64 km

Cross-multiplying, we get 28x = 7 * 64.

Dividing both sides by 28, we get x = 7 * 64 / 28 = 16 liters. Therefore, the car would use 16 liters of petrol to cover 64 km.

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[tex]\text{Substitute the values of x and y to the equation}\\\\x=-2,\ y=6,\ 3ax+2by=6\\\\3a(-2)+2b(6)=6\\\\-6a+12b=6\qquad|\text{add 6a to both sides}\\\\12b=6a+6\qquad|\text{divide both sides by 12}\\\\b=\dfrac{6a}{12}+\dfrac{6}{12}\\\\\boxed{b=\dfrac{1}{2}a+\dfrac{1}{2}}[/tex]

Answer:

Option B

Step-by-step explanation:

For answering this question we must understand what is a function.

A function is different from mapping.

Mapping is just a subset of AxB where A and B are two sets.

But function is constrained to the point that elements of I set will have unique image in second set.

We find From the options

But in option B,, we find that 1 has two images 3.3 and 4.5.  i.e. 1 does not have unique image. Hence not a function.

All other options the first element in ordered pair have a unique image.

Hence all other options are functions.

Only option B is not a function.

3/16 because 3/8 is equal to 6/16 and half of that is 3/16.

Answer:

Mike ate [tex]\frac{3x}{16}[/tex]th portion of the pizza on Friday.

Step-by-step explanation:

Let us consider the quantity of pizza = x  

If Mike left [tex]\frac{3x}{8}[/tex] of the pizza in the refrigerator.

On Friday he ate [tex]\frac{1}{2}[/tex] the portion of pizza he ate = [tex]\frac{3x}{8}\times \frac{1}{2}[/tex]

= [tex]\frac{3x}{16}[/tex]

Therefore, Mike ate [tex]\frac{3x}{16}[/tex]th portion of the pizza on Friday.

The greatest factor that will divide into the 2 terms is x.

Its A.

The GCF of the given polynomial expression is the monomial x

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here: The polynomial expression as 4x²+3x

Greatest Common Factor (GCF) The GCF for a polynomial is the largest monomial that divides (is a factor of) each term of the polynomial.

4x²+3x=x(4x+3)

Thus the greatest polynomial that divides or is a factor the expression is given by x

Hence, The GCF of the given polynomial expression is the monomial x

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C. 4 x (5 x 2) = 40 hope that helps

Answer : option C

A. 4 × (5 + 2) = 28

Associative property of multiplication . Here we have 5+2 so it does not comes under Associative property of multiplication

B. 4 + (9 × 4) = 40

Here we have 4 + . there is a + sign inbetween.  so it does not comes under Associative property of multiplication

C. 4 × (5 × 2) = 40

Here we have 4 times 5 times 2.  so it comes under Associative property of multiplication

D. (4 + 5) × 2 = 18

Here we have 4 + 5 so it does not comes under Associative property of multiplication

Answer:

a. 22.5 km

b. 267.52 m

c. 95 m

d. [tex](4.2)(10^{-5})[/tex] km

Step-by-step explanation:

a. You can convert from hectometers to kilometers, and then you can make the multiplication:

[tex]\frac{5hm}{10}=0.5km[/tex]

[tex](3km)(0.5km)(15)=22.5km[/tex]

b. You can convert from centimeters to meters, and then you can make the multiplication:

[tex]\frac{44cm}{100}=0.44m\\(19m)(0.44m)(32)=267.52m[/tex]

c. You only need to divide 1,140 meters by 12:

[tex]\frac{1,140m}{12})=95m[/tex]

d. You can convert from hectometers to kilometers, from decameters to kilometers and from meters to kilometers, and divide this by 15:

[tex]\frac{6hm}{10}=0.6km[/tex]

[tex]\frac{7dam}{100}=0.07km[/tex]

[tex]\frac{5m}{1000}=0.005km[/tex]

[tex]\frac{(3km)(0.6km)(0.07km)(0.005km)}{15}=(4.2)(10^{-5})[/tex] km

So, The discontinuity would be at 1, since plugging in one for x would yield a zero in the denominator (It would be a non-removable one).

End Behavior:  [tex]\lim_{x \to \infty} f_x = 0 \\\\ \lim_{x \to -\infty} f_x = 0[/tex]

(Zero is a the horizontal asymptope)

The slope intercept from of equation is y= -7x + 41.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

A line that passes through points (7, −8). and parallel to y = −7x − 8

Now, the slope of given  parallel line is -7 and slope of line which is to parallel also of have the same slope.

So, slope of parallel line = -7

Now, using slope intercept form

y -a = m( x- b)

y - (-8)= (-7)(x-7)

y +8 = -7x + 49

y= -7x + 71

Hence, the slope intercept from of equation is y= -7x + 41

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The range is the difference between the highest number and the lowest number.

The lowest number is 5, the highest number is 13.

The range is 13 - 5 = 8 runs.

The correct answer for the range is: "5 to 13 runs" with a median of 8  and here is why:

The range of a set of numbers is what values could have or could be based on the lowest and highest values. The range is not the same as the average or the median. 5 runs was the least amount of runs that happened during one game and 13 was the most in another.

The average is calculated by adding all of the numbers added together and then divides by how many numbers that you added together.

The median is found by removing the lowest number and then the highest number. You repeat this process until you are left with only one number.

There are other things to find as well, but I think you understand now

Range: 5-13 ; 8

Average: 9

Median: 8

Also here is the definition from Dictionary.com on what range is:

range   rānj/Submit

noun

1.the area of variation between upper and lower limits on a particular scale.

ex: "the cost is thought to be in the range of $1-5 million a day"

Alright, so first we need to establish two things.

First, the compliment of a set is like the extreme opposite; everything that is not in set B will be in the complement.

Second, we need to find out what B is.

Okay, so B is everything that is greater than 2, that's given. That includes 3, 4, and 5. B = {3, 4, 5}. There are three items in this set.

The numbers that aren't included are 1 and 2. The complement of B, let's call this C I guess, is C = {1, 2}. There are 2 items in this set.

The answer, I believe, is two. Hope this helps!

Answer: Charge in Jenny's Total allowance= $7.20

Step-by-step explanation:

Given : Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.

If she forgets three times in one month, then by using the MULTIPLICATION OPERATION the charge in Jenny's Total allowance will be :-

[tex]3\times\$2.40=\$7.20[/tex]

Hence, the charge in Jenny's Total allowance = $7.20

[tex]a_{n} = n^{3} + n^{2}[/tex]

[tex]a_{1} = 1^{3} + 1^{2}[/tex]

   = 1 + 1

    = 2

[tex]a_{2} = 2^{3} + 2^{2}[/tex]

   = 8 + 4

   = 12

[tex]a_{3} = 3^{3} + 3^{2}[/tex]

   = 27 + 9

   = 36

[tex]a_{4} = 4^{3} + 4^{2}[/tex]

   = 64 + 16

   = 80

Answer: C

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.

I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer