Hi, I am taking PSAT and I am working on the math section. I need help with answering this math type of question. Please give the best explanation.

Hi, I Am Taking PSAT And I Am Working On The Math Section. I Need Help With Answering This Math Type

Answers

Answer 1

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

How many more distance does the average race car travels than the average consumer car?

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

v' - Speed of the average race car, in miles per hour.v - Speed of the average consumer car, in miles per hour.t - Time, in hours.

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

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Related Questions

let’s review some basics of probability. a bag of skittles has 9 reds, 10 oranges, 7 yellows, 8 purples, and 6 greens. what is the probability of a red skittle if one is selected at random?

Answers

Answer:

7/20

Step-by-step explanation:

is always right use without the s

Darcie wants to simplify 20 over 24 fully.

What number should she divide both the
numerator and the denominator by in order
to simplify the fraction fully in one step?

Answers

Answer: 4

Step-by-step explanation:

This simplifies to 5/6.

So 20 / 5 = 4

and 24 / 6 = 4

which numbers are my Ys (-8-6) and (-1,0)

Answers

The numbers which correctly represents the y-coordinates of the given pairs; (-8-6) and (-1,0) as in the task content are; -6 and 0 respectively.

What is the xy- coordinate plane?

It follows from simple definition that the x -y plane, is a two dimensional plane which contains the x and y axis. The x and y axis happen to be used in the description of plane shapes which are two- dimensional in nature.

Also, it is noteworthy that each point on the xy-coordinate is described by a pair of coordinates and takes the form; (x, y).

In which case, the x-coordinate is written first and y-coordinate is written second as indicated above.

On this note, the y's of the pair of coordinates, (-8-6) and (-1,0) as given in the task content by convention can be observed to be; -6 and 0 respectively.

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A saleswoman earns 9% commission on all the merchandise that she sells. Last month she sold $6000 worth of merchandise. How much commission (in dollars) did she earn last month?

Answers

Answer:    she gets 540

Step-by-step explanation:

   She earns 540 dollars since the saleswoman only gets 9% of it and she sold $6000 dollars worth of merchandise you divide by percentage

 Example:  1. Find the percentage of the original or real number. In this case, it's 500.

2. Multiply the final number by 100. 500 x 100 = 50,000.

3. Divide the result of the multiplication by the percentage. 50,000 divided by 40% = 1,250. Thus, 500 is 40% of 1,250.

If Aaron buys 5 watermelons for 9 how much would 4 cost at the same rate?

Answers

Answer: $ 7.20

Step-by-step explanation:

(9x4)/5

36/5

= 7.2

= $7.20

Find the x intercept and y intercept x + 18 = 9y

Answers

Answer:

x = 72 and y = 0 im just guessing so dont be completey

A match-seller arranges his matchboxes in a
triangular pattern as shown in Fig. 18.4. He
continues until there are 11 matchboxes in
the bottom row of the triangle. How many
matchboxes are in the complete pattern?
MATO
MATCHES
MATCHES
Fig. 18.4
MATCHES
MATCHES
MATCHES
MATCHES
MATCHES
MATCHES
MATCHES
MATCHES

Answers

Using the properties of an arithmetic sequence we can conclude that the total number of match boxes is 66.

There is a consistent distinction between the words in a sequence of numbers known as a "arithmetic progression" or "arithmetic sequence" (AP).

In an arithmetic series, the space between subsequent terms is constant. The numbers 3, 5, 7, and 9 come to mind. because there is always a two-term difference between two succeeding terms, it is arithmetic.

We know that the bottom row of the pyramid has 11 matchboxes .

As we can see in the figure that the each succeeding step has one matchbox less.

Therefore the number of matchboxes in each row is in an AP.

Therefore the AP has a common difference of  -1 and the first term is 11

The last term of the AP is 1.

Therefore

aₙ = a + (n-1)d

or, 1 = 11 + (n-1)(-1)

or, n = 11

We know that the sum of all terms of an AP is given by

S=n/2{2a+(n-1)d}

or, S = 11/2 {2×11 + (10)(-1)}

or, S = 66

Therefore from the arithmetic progression we calculate that the total number of match boxes is 66.

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3 5/11 as a decimal exspansion

Answers

Answer: 3 5/11 should be 3.4545454545 as a decimal

Hope this helps!

Answer:

3 + 0.4545454545454545 =  3.454545454545455

Step-by-step explanation:

3 5/11 as a decimal exspansion

3 + (5 : 11) =

3 + 0.4545454545454545 =

3.454545454545455

f(x) = 3 x + 1 and g (x) = 2x - 3. find f (g(x)) and g (f(x))

Answers

Step-by-step explanation:

f(x} = 3x + 1

g(x} = 2x -- 3

f(g(x)) = 3x + 1. (Calm down right?)

Let the x in the expression be (2x -- 3)

N.B x = g{x}

f(g(x)) = 3(2x --3} + 1

Open bracket

f(g(x)) = 6x -- 9 + 1

f(g(x)) = 6x -- 8...

2... Solve for g(f(x)), using the same strategy

g(f(x)) = 2x -- 3

x = f(x)

g(f(x)) = 2(3x + 1) -- 3

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

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Answer:

Step-by-step explanation:

f(g(x)) means substituting g(x) in f(x)

ie, 3(2x-3)+1 = 6x-9+1 = 6x - 8

g(f(x)) means substituting f(x) in g(x)

ie, 2(3x+1)-3 = 6x2-3 = 6x - 1

Given the equation 13.25y = 79.5, determine the value of y.

6.00
66.25
92.75
1053.38

Answers

Given the equation 13.25y = 79.5, the value of y is A. 6.00.

What is an equation?

An equation is a mathematical statement that states that two mathematical expressions are equal in value.

Equivalent values are also expressed as algebraic equations sharing the same root.

We depict equations by using the equation symbol (=).

13.25y = 79.5

y = 6 (79.5/13.25)

Check:

13.25y = 79.5

13.25(6) = 79.5

79.5 = 79.5

Thus, given the equation 13.25y = 79.5, the value of y cannot be 66.25, 92.75, or 1,053.38 but Option A.

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Alfred is picking up chicken and steak to grill at a party
later that day. He has $60 to spend on the 30 pounds of
meat he needs for the party. The chicken is $1.50 per lb,
and the steak is $2.40 per lb.
Which graph models this situation, where cis pounds of
chicken, and s is pounds of steak?

Answers

Answer:

The graph should look like the one below.

Step-by-step explanation:

C is lbs of chicken

S is pounds of steak

Alfred spent 30 pounds of meat for the party:

c + s [tex]\leq[/tex] 30

Alfred spend $60 on the 30 lbs of meat.

The chicken is $1.50 per pound and the steak is $2.40 per lb  then

1.5c + 2.50 [tex]\leq[/tex] 60

0.5c + 0.85 [tex]\leq[/tex] 20

The linear inequalities system that models situation is:

0.5c + 0.85 [tex]\leq[/tex] 20

c + s [tex]\leq[/tex] 30

c [tex]\geq[/tex]  0

s [tex]\geq[/tex] 0

The Graph:  

The graph of a function f(x) passes through the following points:
(0,-2), (1,0), (-1,0)
Which of the following could be f(x)?
> f(x) = -2x - 2
> f(x) = 2x - 2
> f(x) = (2\sqrt[x])-2
> f(x) = 2x^2 - 2

Answers

*109

eight feral 103721

answer these 2 questions for a cookie

Answers

Answer:

1. C

2. D

5. C

Step-by-step explanation:

Answer:

C as j is a variable

D

C as 13+9+1.9= 23.9

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Information is given about a polynomial f(x) whose coefficients are real
numbers. Find the remaining zeros of f.

Degree 3; zeros: -4, -2- i

The remaining zero(s) of f is
(Use a comma to separate answers as needed.)

Answers

Answer: -2+i

Step-by-step explanation:

By the conjugate root theorem, since the coefficients are real, the complex conjugate of a root must also be a root.

Can somebody help me with this please?

Answers

From the given figure < BAC = 180 - ( < ABC + < BCA ) because they are sum of angles in a triangle

How to find < BAC

given data

< ABC = 52 degrees

< BCA = 88 degrees

calculation for angle BAC

< ABC + < BCA + < BAC = 180 degrees ( sum of angles in a triangle )

< BAC = 180 - ( < ABC + < BCA )

< BAC = 180 - < ABC - < BCA

plugging in the values gives

< BAC = 180 - 52 - 88

< BAC = 180 - 140

< BAC = 40 degrees

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Find the volume of a solid bounded by the paraboloids [tex]\displaystyle{z=4x^2+4y^2}[/tex] and [tex]\displaystyle{z=5-6x^2-y^2}[/tex]

Answers

The two surfaces meet in an ellipse in some plane with [tex]0\le z\le5[/tex], since

[tex]4x^2 + 4y^2 = 5 - 6x^2 - y^2 \implies 10x^2 + 5y^2 = 5 \implies 2x^2 + y^2 = 1[/tex]

so the solid is bounded by the elliptical cylinder with this equation. In cylindrical coordinates, with

[tex]\begin{cases}x = \frac1{\sqrt2} r \cos(\theta) \\ y = r \sin(\theta) \\ z = \zeta \\ dV = dx\,dy\,dz = \frac1{\sqrt2} r \, dr \, d\theta \, d\zeta\end{cases}[/tex]

the solid is the set

[tex]\begin{array}{c} R = \left\{(r,\theta,\zeta) ~:~ 0\le r\le1 \text{ and } 0 \le\theta\le2\pi \text{ and } \right. \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \left.3r^2 - r^2 \cos(2\theta) \le \zeta \le 5 - 2r^2 - r^2 \cos(2t)\right\} \end{array}[/tex]

and the volume is given by the integral

[tex]\displaystyle \iiint_R dV = \frac1{\sqrt2} \int_0^{2\pi} \int_0^1 \int_{3r^2 - r^2 \cos(2\theta)}^{5 - 2r^2 - r^2 \cos(2\theta)} r \, d\zeta \, dr \, d\theta \\\\ ~~~~ = \frac1{\sqrt2} \int_0^{2\pi} \int_0^1 r(5 - 5r^2) \, dr \, d\theta \\\\ ~~~~ = \frac{10\pi}{\sqrt2} \int_0^1 (r - r^3) \, dr \\\\ ~~~~ = 5\sqrt2\,\pi \left(\frac12 - \frac14\right) = \boxed{\frac{5\pi}{2\sqrt2}}[/tex]

What is the vertex of the graph of 3x^2 - 6x + 7?

Answers

(1,4) is the vertex of the graph. (h,k)

Answer: (1,4)

Step-by-step explanation:

y = 3x^2 - 6x + 7

help fast i need to get this answer

Answers

Answer:

x = 3

Step-by-step explanation:

Plug in 1 for x:

- | 1 + 1 | + 5 = - |2| + 5 = -2 + 5 = 3

g(x)=1/4x+1

what is g(-16)?

Answers

Functions

When we're solving with functions, it's no different than solving from a regular equation.

In most cases, we only need to substitute x with a given value.

Solving the Question

[tex]g(x)=\dfrac{1}{4}x+1[/tex]

⇒ To find g(-16), plug in -16 as x:

[tex]g(-16)=\dfrac{1}{4}(-16)+1\\\\g(-16)=-4+1\\\\g(-16)=-3[/tex]

Answer

-3

Flora is buying dog food for her dog. She wants to buy enough to last five weeks (35 days). If her dog eats 2 cups in a day, and there are 24 cups in each bag, how many bags of dog food does Flora need to buy to last 5 weeks? ⛔️ SOLVE USING A PROPORTIONAL RELATIONSHIP GRAPH! ⛔️

Answers

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b.

Flora needs 3 bags of dog food.

How to find the food bags needed?

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b.

An equation in which two ratios are made equal is known as a percentage.

As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls.

Given,

Dog eats 2 cups in a day

There are 24 cups in each bag

Solution:

Dog eats one bag of food in  24 cups/2 cups = 12 days

One food bag is sufficient to feed the dog for 12 days

For 35 days, the number of food bags needed is

1/x = 12/35 where x be the number of food bags needed for the dog.

x = 2.92  

That is 3 bags of dog food are needed for 35 days to feed the dog.

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if a circle has a radius of 7 m then what is the circumference exactly

Answers

C=43.98
The circumference c=43.98 the formula is 2*pi*r

The subtraction of 8 from a number is 2. What is the number?

Answers

Answer:6

Step-by-step explanation:

8-6 = 2

Answer:

10

Step-by-step explanation:

Let the number be equal to y

y-8=2y=8+2y=10

True or false? A corollary is a statement that can be easily proved using a
theorem.
O A. True
OB. False
SUBMIT

answer to this question for anyone who needs it

Answers

The theorem can be used to readily show the corollary because, according to its statement, it considerably depends on it. Consequently, the assertion is accurate.

The given statement is True.

Is the meaning of corollary?

The term "corollary" refers to an outcome that follows logically from another action. You could claim that your rediscovered passion of reading is a corollary to the recent opening of a bookstore in your area. The term corollary describes the result of an action, such as the need to study more as a corollary to receiving a poor grade.

Briefing:

A theorem states that two angles that add up to 180° and form a straight line are regarded as "supplementary."

A corollary of this is known as the "Vertical Angle Theorem," which asserts that where two lines intersect, their angles across from each other are equal (in the diagram, a=c and b=d).

The theorem can be used to readily show the corollary because, according to its statement, it considerably depends on it. Consequently, the assertion is accurate.

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Please answer asap
Thank you

Answers

A plant starts at 4 inches tall and grows 1 inch per week.

The y-intercept is the “starting point.” The line crosses the y-axis at 4, so 4 is the starting point.

The slope is the rate of increase or decrease. The slope increases 1 unit every 1 unit, so the rate of increase is 1.

Evaluate the expression when a = 2 and x = -4.
2a-x

Answers

The expression when a = 2 and x = -4, given 2a-x. The value will be 8.

What are mathematical operations?

In mathematics, an operation is a function that transforms zero or more arguments or operands into a clearly defined output value. The number of operands in the operation determines how difficult it is.

Unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication, are the operations that are most frequently studied. The nullary operation, also referred to as a zero-arity operation, is a constant. The mixed product is an example of a ternary operation, also referred to as an operation of arity 3.

The arity is typically assumed to be limited. Even yet, infinitary operations are occasionally taken into account, in which case the "typical" operations of finite dimensionality are referred to as finiteary operations.

Similar to an operation, but with partial function in place of a function, is the definition of a partial operation.

Since, a= 2 and x= -4, then,

2(2)-(-4)= 8

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If the measure of angle 2 is 70 degrees, what is the measure of angle 7?

A. 70; Ls 2 and 7 corresponding angles
B. 70; Ls 2 and 7 are alternate exterior angles
C. 120; 2s 2 and 7 are supplementary angles
D. Unable to determine

Answers

Answer:

B

Step-by-step explanation:

∠ 2 and ∠ 7 are alternate exterior angles and are congruent, then

∠ 7 = ∠ 2 = 70°

a 13-foot ladder is leaning against a wall. if we pull the ladder away from the wall at a rate of 1ft/s, how fast is the top of the ladder moving down the wall when the bottom of the ladder is 12ft from the wall?

Answers

After solving the question using Pythagoras' theorem we get, The ladder moving down the wall at 8 feet per second.

According to the question,  

The bottom(base) of the ladder is 12 feet,

the height of the ladder is 13 feet.

Now, We have to find the top of the ladder moving down the wall

by using Pythagoras' theorem,

hypotenuse ^2 = base^2 + perpendicular ^2

13^2 = x^2 + y^2

169 =  x^2 + y^2

After using Pythagoras' theorem

we have this equation and now we will differentiate both sides:  

0  =2x*dx/dt + 2y*dy/dt    

0  =24*1 + 3* dy/dt  

dy/dt = - 8 feet per second  

Positive whole number we have to take.

So,   dy/dt = 8 feet per second

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6. Joshua took a bus from Orlando to Atlanta. The bus traveled 420 miles in 6 hours. What was the
average speed of the bus?
a) 60 miles per hour
b) 65 miles per hour
c) 70 miles per hour
d) 75 miles per hour

Answers

it would be 70 miles per hour because if you’re getting the average speed of the miles in a number of hours you would divide. 420/6=70

Find the exponential function in the form y=a*b^x that passes through the point (0,10) and (3,80).

Answers

[tex]{\Large \begin{array}{llll} y = ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y = 10 \end{cases}\implies 10=ab^0\implies 10=a(1)\implies 10=a~\hfill \underline{y = 10b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x = 3\\ y = 80 \end{cases}\implies 80=10b^3\implies \cfrac{80}{10}=b^3\implies 8=b^3 \\\\\\ \sqrt[3]{8}=b\implies 2=b~\hfill \underline{y = 10(2)^x}[/tex]

the daily useage time on the apple iphone is normally distributed with mean 5.4 hours and standard deviation 1.2 hours. suppose you survey 5 of your friends who have iphones. what is the probability that their mean useage time is between 4 and 7 hours? round your answer to three decimal places.

Answers

0.868   is the probability that their mean useage time is between 4 and 7 hours.

What are examples and probability?

It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability. For instance, the theoretical chance of receiving a head while tossing a coin is 12.

Given, population mean (μ) = 5.4

population standard deviation (σ) = 1.2

Sample size (n) = 5

Probability that the sum of their useage time is less than 30

= Probability that the sample mean is less than (30/5 = 6)

= p(x<6)3

Z score

 = x - μ/σ/√n

= 6 - 5.4/1.2/√5

= 0.6/1.2/2.236068

= 0.6/0.536656

= 1.11803

Area to the left of (Z = 1.11803) = 0.86822 = 0.868

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For the reaction of calcium chloride and sodium oxalate, write: a chemical equation that represents the reaction including all appropriate phase labels (e.g. (s), (l), (aq)). Please answer asap Thank you Which of the following is true about two neutral atoms of the element gold? (1 point) a The nucleus is missing in both. b Each has a different mass. c Both have the same properties. d Each has a different number of electrons. list three guidelines that you should follow when reporting an issue in the workplace the daily useage time on the apple iphone is normally distributed with mean 5.4 hours and standard deviation 1.2 hours. suppose you survey 5 of your friends who have iphones. what is the probability that their mean useage time is between 4 and 7 hours? round your answer to three decimal places. Find the x intercept and y intercept x + 18 = 9y d is movement of molecules from high concentration to low concentration. an example is lemon essential oil used in one corner of the room but soon smelled in the opposite corner. Point M is the midpoint of AB . AM=2x+9, and AB=8x50.What is the length of AM? occurs when a physician fails to use a degree of skill and learningcommonly expected and the person receiving care is injured What is the vertex of the graph of 3x^2 - 6x + 7? Find the exponential function in the form y=a*b^x that passes through the point (0,10) and (3,80). HELP ASAP 100 POINTSA group of seniors decide to spend their spring break away from home, attending at least one major event. The following table summarizes their preferences. 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