Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation:
1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?
2. Find the sum of -8x^2+3 and -9x^2+3x-3−
3.Simplify the expression to a polynomial in standard form:
(-3x-5)(-x^2+x-5)
Answer:
See solutions below
Step-by-step explanation:
1) Total amount of gallons = 14 gallons
If she uses up 0.75 gallons of gas each hour then;
1 hour = 0.75gallons
after driving 6 hours, amount of gallons used will be;
6 hours = x
Divide both expressions
1/6 = 0.75/x
x = 6 * 0.75
x = 4.5gallons
Amount of gas left = 14 - 4.5 = 9.5 gallons of gas
Hence 9.5 gallons of gas will be left after 6 hrs
Similarly;
1 hour = 0.75gallons
after driving t hours, amount of gallons used will be;
t hours = x
x = 0.75t
Amount of gas left after t hours = (14 - 0.75t) gallons of gas
2) We are to find the sum of -8x^2+3 and -9x^2+3x-3
-8x^2+3 + (-9x^2+3x-3)
= 8x^2+3 -9x^2+3x-3
Collect like terms
= 8x^2 -9x^2+3x + 3-3
= -x^2 + 3x
Hence the sum is -x²+3x
3) Expressing in standard form;
(-3x-5)(-x^2+x-5)
Expand
= 3x³-3x²+15x+5x²-5x+25
Collect like terms
= 3x³-3x²+5x²+15x-5x+25
= 3x³+2x² + 10x + 25
Hence the product in polynomial form is 3x³+2x² + 10x + 25
HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G
Answer:
M₁=Fr²/GM₂
Step-by-step explanation:
The original formula is
F = GM₁M₂/r²
Rearrange it so M₁ is isolated:
Fr²=GM₁M₂
M₁=Fr²/GM₂
Find the area of the following shape:
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
The division property of equality could be used to solve which of the following equation
A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me
Answer:
A
Step-by-step explanation:
5x = 30
divide both sides by 5:
x = 6
A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
List two examples of words/phrases that describe the mathematical operation of multiplication.
Answer:
Multiplied, Group Addition
Step-by-step explanation:
Again, all I know of.
Complete the square. Fill in the number that makes the polynomial a perfect-square
quadratic.
h2 - 10h +
Answer:
h² - 10h + 25
Step-by-step explanation:
h² - 10h + _ → (h - 5)² = h² - 10h + 25
If LMN ~ YXZ and the perimeter of YXZ is 144 , Find XZ
Answer:
XZ=51
Step-by-step explanation:
In∆ LMN,
Perimeter = 72+52+68
=192
And using similar triangles, XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51
The length of XZ is 51 units.
What is similarity?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
Perimeter of YXZ is 144
So, In∆ LMN,
Perimeter = 72+52+68
=192
We know that both triangles are similar.
So, , XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51 unit
Hence, the length of XZ is 51 units.
Learn more about similarity here:
https://brainly.com/question/26451866
#SPJ2
there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?
Answer:
3/8
Step-by-step explanation:
Your need to change the 1/4 to eighths
so multiply it by 2
1/4 x 2/2
which equals 2/8
then you need to subtract it from the 5/8
5/8 - 2/8 = 3/8
Simplify.
Rewrite the expression in the form 4^n.
4^8
4^3
70%of it is 14 min find the valy ofx
Note:
Your questions sound a little unclear.
But, I am assuming your questions as:
''70% of x is 14 min. Find the value of x''.
So, I will solve assuming this statement which anyways would clear your concept.
Answer:
The value of x = 20.
Step-by-step explanation:
Given
''70% of x is 14 min. Find the value of x''.
Thus,
70% of x = 14
70/100 × x = 14
0.7x = 14
divide both sides by 0.7
0.7x/0.7 = 14/0.7
x = 20
Therefore, we conclude that the value of x = 20.
You are applying for graduate school at University A. In the past 42% of the applicants to this university have been accepted. It is also known that 70% of those students who have been accepted have had GMAT scores in excess of 550 while 40% of the students who were not accepted had GMAT scores in excess of 550. You take the GMAT exam and score 640. What is the probability that you will be accepted into the graduate school of university A
How to solve (
7•6-4^2)+4
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
(7*6 - 4^2)+4 = (42 - 16) + 4 = 26 + 4 = 30
Look at the picture
9514 1404 393
Answer:
A
Step-by-step explanation:
When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."
If angles are on opposite sides of the transversal, they are exterior.
If angles are in the same direction from the intersection point, they are corresponding.
Angles in opposite directions from the point of intersection are vertical angles.
same-side interior: {3, 5} and {4, 6}. (supplementary)
same-side exterior: {1, 7} and {2, 8}. (supplementary)
alternate interior: {3, 6} and {4, 5}. (congruent)
alternate exterior: {1, 8} and {2, 7}. (congruent)
corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)
vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)
Angles 6 and 4 are same-side interior angles; their sum is 180°.
Katia has 7 chairs she wants to paint. If it takes 2/3 can of spray
paint to paint a chair, how many cans of spray paint does Katia
need?
Answer:
4 2/3
Step-by-step explanation: You would do 7 × 2/3, but you cannot do that so you have to make the 7, 7/1 and than it is 7/1 × 2/37/1 × 2/3 =First step: Multiply the top: 7 × 2 = 14Second step: Multiply bottom: 1 × 3 = 3Answer: 14/3 and than you simplify to 4 2/3Pretend your friend is struggling to solve equations and has asked you for help.
Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11
40 pointssssss!!!!!!!
Answer: A.
Step-by-step explanation: It's 20 pionts bro.
Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy
Answer:
The large sample n = 117.07
Step-by-step explanation:
Step(i):-
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
Step(ii):-
The Marginal error is determined by
M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]
√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]
squaring on both sides , we get
n = 117.07
Final answer:-
The large sample n = 117.07
please solve pic attached below. I will make brainless
Answer:
hgfc
Step-by-step explanation:
nbc
A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60
Answer:
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of multiple-choice questions
y is the number of short-answer questions.
Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.
This means that:
[tex]2x + 5y = 60[/tex]
The test has 15 questions.
This means that:
[tex]x + y = 15[/tex].
Which means that option C is the correct answer.
Answer:
C. The number of multiple-choice questions plus the number of short-answer questions is 15.
Step-by-step explanation:
x + y = 15
38 is what percent of 84 (to the nearest percent)?
Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
Answer:
45%
Step-by-step explanation:
84÷100=0.84
38÷0.84=45.24 rounded that is 45%
How much more than 1/4 cup is 3/4 cup?
Answer:
half a cup
Step-by-step explanation:
75% minus 25% is 50% aka 1 half
Give three examples of equations where there would be no solution
Answer:
1) 2x+1 = 2x-4
2) 6x+2=3(2x+1)
3) -4x -5=-2(2x)+2
Step-by-step explanation:
We need to give three examples of equations where there would be no solution.
First we will define equation with no solution.
If solving an equation you get the result as 3=5 but 3 is not equal to 5, so the equation has no solution.
Examples of equations where there would be no solution
1) 2x+1 = 2x-4
2x-2x=-4-1
0=-1 ( false)
So, the equation has no solution.
2) 6x+2=3(2x+1)
6x+2=6x+1
6x-6x=1-2
0=-2 (false)
So, the equation has no solution.
3) -4x -5=-2(2x)+2
-4x-5=-4x+2
-4x+4x=2+5
0=7 (false)
So, the equation has no solution.
A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)
Using the Fundamental Counting Theorem, it is found that the expression that gives the number of different 6 -character codes that are possible is:
F. 1(1)(10)(10)(10) (10)
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].Hence:
[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]
And option F is correct.
To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866
Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in
Answer21.98
Step-by-step explanation:
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event
Answer:
Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability
Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability
Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability
Step-by-step explanation:
The probability of the given events is:
[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]According to the question,
Number of outcomes = 8
Event A:
Having the alternative even and odd numbers.
→ [tex](EOE, OEO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event B:
No even number and last two rolls.
→ [tex](EOO,OOO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event C:
Exactly on odd number:
→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]
Thus the above approach is correct.
Learn more about probability here:
https://brainly.com/question/11234923
Help me out! Answer? Anyone??
Answer: C and D.
Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.
Which expression is equivalent to 4x - (3x2 + x) + 5 - (2x2 + 1)?
f(x) = 4+9x, find f(-3)
Answer:
R3EWS.
Step-by-step explanation:
HELPPPPP GUYS I NEED IT AND IM NOT GOOD AT MATH!!
Answer:
-21
Step-by-step explanation:
Answer:
Option b-21
As coefficient is the number before variables
and here the number before is -21
