Carlos can type 228 words in 4 minutes. Which equation represents the number of words Carlos types per minute?

Answer:

10.5

Step-by-step explanation:    if he got the pants on sale the price would be 59.5 becuase 70*15%=10.5 and u would subtract 70-10.5=59.5

70-59.5=10.5

Answer:

$10.5

Step-by-step explanation:

The speed that describes how fast the car was traveling when the driver applied the brakes is 49 mph.

What was the speed?

The formula that is often used by police officers to determine the speed from a skid mark is this s = √21d.

So, in this case, the length or distance of the skid mark is 115 feet. We can substitute this value in the formula to get;

Speed of car = √21(115)

Speed of car = √2,415

Speed of car = 49.1426 approximately 49 mph.

So, the speed that describes how fast the car was traveling when the driver applied the brakes is 49 mph.

Complete Question:

A police officer investigating an accident finds a skid mark 115 feet long. Approximately how fast was the car traveling when the driver applied the brakes?

Answer:

-1/6

Step-by-step explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. This means any line which is parallel and does not cross will have the exact same slope of -1/6.

Answer:

In the figure below :

d = 2.08, e = 5, c = 5.42 , a = 22.78°, b = 67.22°

Step-by-step explanation:

Side lengths :

[tex]2\cdot e=10\\ \Rightarrow e=5 feet\\\frac{d}{e}=\frac{5}{12}\\\Rightarrow d=\frac{25}{12}\approx 2.08 feet[/tex]

By pythagoras theorem,

[tex]c^2=d^2+e^2\\c^2=29.33\\c\approx 5.42 feet[/tex]

Now to find angles,

[tex]a+b+90^{\circ}=180^{\circ}\\\Rightarrow a+b=90^{\circ}\\\tan a=\frac{d}{e}\\\Rightarrow \tan a =0.42\\\Rightarrow a=22.78^{\circ}\\\Rightarrow b=67.22^{\circ}[/tex]

The unknown side lengths of the shed's roof are:

Angle measure at the top of the roof: 22.62 degrees

Vertical length of the roof (rise): 4.17 feet

Horizontal length of the roof (run): 5 feet

To determine the unknown angle measures and side lengths of the shed's roof, we can use the given information about the roof pitch and span.

Angle Measures

The roof pitch is 5:12, which means that for every 12 horizontal inches, the roof rises 5 inches. This corresponds to an angle of approximately 22.62 degrees.

Side Lengths

The span of the roof is 10 feet, which represents the horizontal distance from one side of the shed to the other.

Since the roof pitch is 5:12, we can calculate the rise of the roof by dividing the span by 12 and multiplying by 5:

Rise = (10 feet * 12 inches/foot) * (5/12) = 41.667 inches ≈ 4.17 feet

Therefore, the unknown side lengths of the shed's roof are:

Angle measure at the top of the roof: 22.62 degrees

Vertical length of the roof (rise): 4.17 feet

Horizontal length of the roof (run): 5 feet

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Divide total full time employees by 20 to find how many groups of 20 there are, then multiply that number by 3 to find total part time employees:

250,000 / 20 = 12,500

12,500 x 3 = 37,500 part time employees.

Answer:

Not true

Step-by-step explanation:

It is in fact an expression with 4 factors, each with 3 terms.

Factors are things you multiply, terms are things you add.

Answer:

A 1367

Step-by-step explanation:

Question: Explain how you would use the result of finding the ground speed to find the course of the airplane.

Answer: 181.2

Explanation:  vertical speed of 20.78 knots  

new course is (-148 , 20.78) = inverse tan ( 20.78 / -148) = 172° or 8° N of East at 149.45 knots

New speed (- 148)² + ( 20.28)² = 149.45 knots round and you get 181.2

question answered by

(jacemorris04)

The ground speed of the airplane is 181.18 knots (approx).

The formula of ground speed of a airplane is given below,

[tex]v_{g} =\sqrt{}[/tex][tex](v_{a} ^{2}+v_{w} ^{2}-2v_{a} v_{w}cos\alpha)[/tex]

where, [tex]v_{g}[/tex] = Ground speed of airplane

[tex]v_{a}[/tex] = Speed of the airplane relative to the air

[tex]v_{w}[/tex] = Wind speed

[tex]\alpha[/tex] =  Internal angle

Given, [tex]v_{a}[/tex] = 160 knots, [tex]v_{w}[/tex] = 24 knots

Here, the angles increase clockwise and east is 90° heading.

The airplane is flying a heading of 90° at 160 knots speed & wind is blowing from 240° at 24 knots speed.

So, the internal angle[tex](\alpha)[/tex] = 240°-90° = 150°

∴ Ground speed, [tex]v_{g} =\sqrt{}[/tex][tex](v_{a} ^{2}+v_{w} ^{2}-2v_{a} v_{w}cos\alpha)[/tex]

⇒ [tex]v_{g}[/tex] [tex]=\sqrt{}[/tex][tex](160^{2}+24^{2}-2*160*24*cos(150))[/tex]

⇒ [tex]v_{g}[/tex] = 181.18 knots (approx)

Hence the ground speed of airplane is 181,18 knots (approx).

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[tex]f(x)=x^3+2x^2-x-2\\\\f(x)=0\iff x^3+2x^2-x-2=0\\\\x^2(x+2)-1(x+2)=0\\\\(x+2)(x^2-1)=0\iff x+2=0\ \vee\ x^2-1=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-2}\\\\x^2-1=0\qquad\text{add 1 to both sides}\\\\x^2=1\to x=\pm\sqrt1\\\\\boxed{x=-1\ \vee\ x=1}\\\\Answer:\ -2,\ -1,\ 1[/tex]

Answer:  -2, -1, 1

Step-by-step explanation:

f(x) = x³ + 2x² - x - 2

 0 = x³ + 2x²   - x - 2

    = x²(x + 2)  -1(x + 2)

   = (x² - 1) (x + 2)

   = (x - 1) (x + 1) (x + 2)

0 = x - 1       0 = x + 1        0 = x + 2

1 = x           -1 = x             -2 = x

Answer:

Jayda can cut 14 slices of dough that are 3/4 inches thick.  

Step-by-step explanation:

In order to solve this problem, we need to take the total amount of dough at 10 1/2 inches and divide it by the thickness of one slide, 3/4 inches, to find the number of slices that can be made from the total amount.  You can solve this two different ways.  You can either convert your fractions to decimals so that 10 1/2 becomes 10.5 and 3/4 become 0.75 and then divide 10.5/0.75 to get 14.  However, you can also keep them as fractions converting 10 1/2 to 21/2 and dividing by 3/4.  When we divide with fractions with keep-change-flip, or keep the first fraction-change the sign to multiplication-flip the second fraction.  So, we multiply 21/2 x 4/3 and get 84/6, or 14.  

Answer: (C) 7 and (D) 8

Step-by-step explanation:

5w - 10 > 20

      +10  +10  

5w        > 30

÷5           ÷5  

 w         > 6

Anything GREATER than 6 will work.

The constant of proportionality in the equation 4y = 48x is 12 (option C) after dividing both sides of the equation by 4 to get the equation into the form y = kx, with k representing the constant of proportionality.

The question is asking for the constant of proportionality in the equation 4y = 48x. In an equation of the form "y = kx", "k" is the constant of proportionality. Here, to make this equation look like "y = kx", we need to divide both sides of the equation by 4. Doing this gives us:

y = 12x

So, the constant of proportionality in this equation is 12 which corresponds to option C.

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Answer:

He needs to save $90.75 each month to reach his goal.

Step-by-step explanation:

We have the cost of his vacation that is $1089.

We know that Todd has a year to save the money.

We know that a year in terms of time is twelve months (12 months).

If we want to calculate how much does he need to save each month we need to divide the total cost of his vacation by the amount of months in a year ⇒

[tex]\frac{1089}{12}=90.75[/tex]

We find that Todd needs to save $90.75 per month to reach his goal.

Answer:

I think it's c.

Step-by-step explanation:

A graph usually stands as a representation for functions.

Answer:

c. between 0&1 and 2&3

Step-by-step explanation:

The roots of the given quadratic functions lie between 0&1 and 2&3 thus option (C) is correct.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given quadratic equation,

f(x) = 2x² - 5x + 1

The value of x will be as,

x = [-(-5) ± √((-5)² - 4 ×2 × 1)]/(2 × 2)

x = (5 ± √17)/4

x = 0.219 and x = 2.28

So, 0 < 0.219 < 1 and 2 < 2.28 < 3.

Hence "The roots of the given quadratic functions lie between 0&1 and 2&3".

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Answer:

I think the answer would be B because volume is length times width times height. Therefore, if you multiply the base which is length time width and the height you will get your answer. Let me know if this helps, if not I can further explain it to you.

Step-by-step explanation:

kx + c = 9

Subtract C from both sides:

kx = 9-c

Divide both sides by k:

x = (9-c)/k

Answer:

c=8

Step-by-step explanation:

3c/8 = (c+4)/4

We can use cross products to solve

3c          c+4

-----  =   ----------

8             4

 3c*4 = 8 *(c+4)

12c = 8c+32

Subtract 8c from each side

12c-8c = 32

4c = 32

Divide by 4

4c/4 = 32/4

c =8

The solution to the equation 3c/8 = c+4/4 is found by first simplifying the equation to 3c = 4c + 16, then isolating 'c' gives -c = 16, and finally multiplying both sides by '-1' gives the solution, c = -16.

To solve the equation 3c/8 = c+4/4, firstly we'll simplify it, eliminating fractions by multiplication. The equation becomes 3c = 4c + 16.

Next, we rearrange the equation to isolate 'c', by subtracting '4c' from both sides which results in -c = 16.

Finally, to get the value of 'c', we multiply both sides by '-1'. Hence, the solution to the equation is c = -16.

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The correct way to rewrite the expression 5a + 5b + 5c + 5d using the distributive property is option C) 5(a + b + c + d).

The expression given is 5a + 5b + 5c + 5d. This is a sum where each term is multiplied by 5. According to the distributive property, also known as the distributive law of multiplication, a common factor can be factored out of a sum. The distributive property is represented as (A + B)C = AC + BC. In this case, the common factor is 5, and the sum of the variables a, b, c, and d is grouped, giving us 5(a + b + c + d).

So, the correct representation of the expression is 5(a + b + c + d), which corresponds to option C).

Answer:

$132.90

Step-by-step explanation:

Answer:

$120.86

Step-by-step explanation:

Answer:

c = 2

Step-by-step explanation:

(x, y) = (-1, 3)

3 = c - (-1)^2 - 2(-1)

3 = c - 1 + 2

3 = c + 1

2 = c

Answer:

(B , D) = (-2,5)

Step-by-step explanation:

The given quadratic expression is

[tex]3x^{2} -x-10[/tex]

compare the given expression with [tex]ax^{2} +bx+c[/tex]

so we have [tex]a = 3 , b = -1 ,c = -10[/tex]

now [tex]ac=3 (-10)=- 30[/tex] and [tex]b= -1[/tex]

we need to find two numbers such that their product is -30 and sum is -1

-6 and 5 are such numbers

so we have

[tex]3x^{2} -6x+5x-10[/tex]

grouping first two terms and last two terms

[tex](3x^{2} -6x)+(5x-10)[/tex]

factor out 3x from first two terms and 5 from last two terms

[tex]3x(x-2) +5(x-2)[/tex]          

[tex](x-2)(3x+5)[/tex]        ( factor out (x-2))

[tex](x+(-2))(3x+5)[/tex]

hence B =-2 and D= 5

(B,D)= (-2,5)

Answer:

Option (a)

Step-by-step explanation:

The given equation is  

y = 4 (2ˣ)

To find y-intercept, substitute x=0 in the equation.

y = 4 (2⁰) = 4 (1) =4

Hence y-intercept is 4.

Since y-intercept is 4, the equation should pass through the point (0,4).

The only graph passing through the point (0,4) is the graph in option (a).

Hence the answer is option (a).

Answer:

a

Step-by-step explanation:

Answer:

Divide 5.4 by 0.5

Step-by-step explanation:

It's says to find the number of laps she swam. It doesn't ask us to figure out how many laps she could have run with the amount of laps she did.

To find the number of laps Flo swam, divide the total distance Flo swam (5.4 km) by the length of one lap in the pool (0.05 km). This results in 108 laps.

To find out the number of laps Flo swam, we must take the total distance she swam and divide it by the length of one lap in the pool. According to the chart, the length of one lap in a standard-sized pool is 0.05 kilometers. Therefore, the best method would be to divide 5.4 (the total distance Flo swam in kilometers) by 0.05 (the length of one lap in kilometers).

So, we take 5.4/0.05 = 108. This means that Flo swam 108 laps in the pool. Remember, when you want to find how many times a certain distance fits into another, you should utilize division.

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Answer:

The answer is sin^2 (theta)  cos (theta) .

Step-by-step explanation:

We need to rewrite tan (theta)  as sin (theta) /cos (theta)

tan^2 (theta) = sin^2 (theta)/ cos^2 (theta)

We also need to rewrite sec (theta) as 1/ cos(theta)

sec^3 = 1 / cos^3( theta)

tan^2 (theta)       sin^2 (theta)

------------------ =    ----------------

sec ^3 (theta)      cos ^ 2(theta)

                           ---------------------------

                               1

                             -----------

                                 cos ^3 (theta)

Remember when dividing fractions, we can use, copy dot flip

sin^2 (theta)           cos^3 (theta)    

------------------    *   -------------------

  cos ^ 2(theta)           1

Canceling a cos^2(theta)  from the top and bottom,

sin^2 (theta)           cos (theta)    

------------------    *   -------------------

  1                             1

we are left with

sin^2 (theta)  cos (theta)

The answer is sin^2 (theta)  cos (theta) .

The answer is sin^2

Not A: We can't have [tex]x=0[/tex] because [tex]\log0[/tex] is undefined for a logarithm of any base.

B is true: [tex]\log1=0[/tex] for any base.

Not C: If [tex]x=b^c[/tex], then [tex]\log_bb^c=c[/tex], but [tex]\log_cb^c=c\log_bc[/tex] which only reduces to [tex]c[/tex] if [tex]\log_bc=1[/tex]. This can only happen if [tex]b=c[/tex], however, but we've assumed otherwise.

Not D: The reasoning for C not being correct is enough to rule out this possibility.

Answer:

11

Step-by-step explanation:

I guessed

Answer:

Negative Correlation

Step-by-step explanation:

As you can see in the image I added, a negative correlation happens when the variables move in opposite directions, in other words, one variable increases as the other decreases. We can see this correlation represented by a value of -1 slope.

I hope you find this information useful and interesting! Good luck!

Answer: That's negative.

Step-by-step explanation: hope this helps.

Answer:

2 hours

Step-by-step explanation:

Answer:

during the 7th and the 9th lap

Step-by-step explanation:

I just did it