A missile is fired at an angle of 75 from the horizontal. At one point, its speed was 900 mph. Find its horizontal velocity in miles per minute. (Round to the nearest hundredth.)

To solve the problem, we use a system of linear equations. We find that the student has 14 $1 bills and 5 $5 bills.

This problem can be solved using a system of linear equations. Let's define two variables: x represents the number of $1 bills and y represents the number of $5 bills . From the problem, we can set up the following two equations:

Solving these equations simultaneously, we find that x = 14 and y = 5. Thus, the student has 14 $1 bills and 5 $5 bills.

https://brainly.com/question/32634451

#SPJ2

Answer:

Connor ordered 5 toppings on his pizza.

Step-by-step explanation:

17.50 + (2.35 * x) = 29.25

Remove the parentheses

17.50 + 2.35x = 29.25

Subtract 17.50 from both sides

2.35x = 29.25 - 17.50

Subtract

2.35x = 11.75

Divide both sides by 2.35

x = 5

Answer:

29.25 - 17.50 = 11.75

11.75 divided by 2.35 = 5

So that he had 5 toppings on his pizza.

Step-by-step explanation:

For each, divide the amount by the number of wings

7 divided by 8: 0.875 = $0.88 per wing

10 divided by 12: 0.8333 = $0.83 per wing

17 divided by 20: 0.85 = $0.85 per wing

Looking at each result, the middle one (the $10 for 12 wings) is the best deal

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

The correct option is:   B.  length: 14 cm, width: 6.4 cm

Explanation

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as:  1 cm = 25 miles

Suppose, the length and width of the lake on the map are  [tex]x[/tex] cm and [tex]y[/tex] cm respectively.

First, the equation according to the ratio of scaled length to the actual length will be....

[tex]\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14[/tex]

Now, the equation according to the ratio of scaled width to the actual width will be....

[tex]\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4[/tex]

Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.

xy² = x · y · y

xz = x · z

LCM(xy², xz) = x · y · y · z = xy²z

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

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.

Answer:

2.7 x 1016

Step-by-step explanation:

that's the answer

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.

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:

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

Learn more about a polynomial expression here:

https://brainly.com/question/11536910

#SPJ2

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

[tex]1(x^{2} ?6x+9)-9+14[/tex]

Upon completing the square and combining like terms we will get,

[tex]1(x?3)^{2} +5[/tex]

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

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!

To graph 24x + 25 = -6y + 7, first rearrange it to the form y = mx + b. In our case, y = -4x -3. Plot the y-intercept (0, -3) first, then use the slope (-4) to find a second point (1, -7). Connect these points to form the graph.

To graph the equation 24x + 25 = -6y + 7, the first step is to rewrite the equation in slope-intercept form, or y = mx + b, where m is the slope of the line and b is the y-intercept (where the line crosses the y-axis).

Add 6y to both sides of the equation 24x + 25 = -6y + 7 to get 6y = 24x + 25 - 7. Then, rearrange the equations and divide all terms by 6 to get y = -4x - 3.

Now, we can identify the slope and y-intercept. The slope (m) is -4 and the y-intercept (b) is -3. Using these, we can plot two points on a graph. The first point is the y-intercept which is at (0, -3), the point where the line crosses the y-axis.

The slope of -4 means for every step to the right on the x-axis, we go down 4 steps. Therefore, our second point would be at (1, -7). Connect these two points with a straight line, and you have graphed the equation.

https://brainly.com/question/14240165

#SPJ12

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

[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]

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.

Let's assume

'a' , 'b' are zeros

so, we will find total zeros from graph

We can  curve touches x-axis

Let's assume it touches at x=b

so, there would be two zeros at x=b

it also crosses origin

so, another zero is at x=0

it crosses x-axis one more time

Let's assume that zeros at x=a

so, we have got four zeros

x=a,0,b,b

now, we can set up function

[tex]f(x)=(x-0)(x-a)(x-b)(x-b)[/tex]

we can also write as

[tex]f(x)=x(x-a)(x-b)^2[/tex].................Answer

Let us assume the total number of people surveyed be = 1500

People who own a dog = 925

People who also own a cat along with dog = 16

So, people who own only dog = 925-16 = 909

A.

The fraction of people who own both a dog and a cat are = [tex]\frac{925}{1500}[/tex]

= [tex]\frac{37}{60}[/tex]

B.

Number of people who own a dog and not a cat are = 909

In fraction it will be [tex]\frac{909}{1500}=\frac{303}{500}[/tex]

[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]

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:

It is -4,-2

Step-by-step explanation:

Answer:

The solution is (-4, -2)

Step-by-step explanation:

Given two equations

[tex]2x-5y=2[/tex]  →   (1)

[tex]3x+2y=-16[/tex]    →    (2)

we have to solve the system of equations by elimination method

Multiply (1) by 3 and (2) by 2 and then subtracting we get

[tex]3(2x-5y)-2(3x+2y)=6-(-32)[/tex]

[tex]6x-15y-6x-4y=38[/tex]

[tex]-19y=38[/tex]

[tex]y=-2[/tex]

⇒ [tex]2x=2+5(-2)=2-10=-8[/tex]

[tex]x=-4[/tex]

Hence, the solution is (-4, -2)

Option A is correct

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: 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