Answer:
Speed from NY to LA is 172 mph
Step-by-step explanation:
Let the jet’s speed from NY to LA be x mph.The speed form NY to LA would be (x-140) mph
Mathematically, we know that distance = speed * time
The total speed will x + x -140 = 2x-140
Now;
12(2x-140) = 2450
24x - 1680 = 2450
24x = 2450 + 1680
24x = 4130
x = 4130/24
x = 172.1 which is approximately 172 mph
Solve the system of equations:
y = 2x - 3
y= x2 – 2x-8
A. (-1, -3) and (5, 4)
B. (0, -3) and (3, 3)
C. (4,0) and (-2,0)
D.(-1,-5) and (5,7)
Answer:
D.(-1,-5) and (5,7)
Step-by-step explanation:
I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.
Option D should be the correct answer.
sue's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when sue's gauge shows 39.42?
Answer:
36.5 is the answer
Hope this helps!
Step-by-step explanation:
Let the actual pressure be x
The actual pressure is 100% of x
The pressure is showing 8% more
So the pressure showing now is the actual pressure + the extra pressure
= 100%+8% = 108%
= 108/100
So the equation is:
108/100 x = 39.42
108x = 39.42*100
108x = 3942
x= 3942/108
= 36.5
Therefore the actual pressure is 36.5
If you want to increase the length of the side of a square by 30%, what fraction can be used as the
multiplier to find the length of the new side?
The fraction (13/10) can be used as the multiplier to find the length of the new side.
Suppose the length of the side of a square is x.
The new length of the side of the square after an increment of 30%
= x+ (30% of x).
What is the percentage?The percentage is the value per hundred.
So, 30% of x = 30*x/100 =0.3x
So, new length of the side = x+0.3x =1.3x
We can represent 1.3x as (13/10)x
This means we have multiplied the previous length by the fraction 13/10 in order to get an increment of 30%.
Thus, The fraction (13/10) can be used as the multiplier to find the length of the new side.
To get more about the percentage visit:
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the weights of cars passing over a bridge have a mean of 3550 lb and a standard deviation of 870 pounds. Assume that the weights of cars passing over the bridge or never distributed. Use the empirical rule to estimate the probability that a randomly-selected car going over the bridge will weigh less than 940 lbs
Answer:
a. 0.15%
Step-by-step explanation:
The Z-score of 940 pounds is ...
(X -µ)/σ = (940 -3550)/870 = -3
The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.
The probability that a car weighs less than 940 lbs is about 0.15%.
use the vector w=3\sqrt(2)i+\sqrt(2)j to find 2w
Answer:
The answer is "[tex]\bold{6\sqrt(2)i+2\sqrt(2)j)}[/tex]"
Step-by-step explanation:
Given:
[tex]w=3\sqrt(2)i+\sqrt(2)j[/tex]
To Find:
2w=?
Solution:
[tex]\Rightarrow 2w= 2\times w\\\\\Rightarrow 2w= 2\times (3\sqrt(2)i+\sqrt(2)j)\\\\\Rightarrow 2w= 6\sqrt(2)i+2\sqrt(2)j)\\[/tex]
Use the table to find the experimental probability of spinning a number less than 2. Write your answer as a fraction.
Spinning a Spinner
Number spun Times spun
1 7
2 10
3 8
4 8
5 8
6 9
Answer:
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
Step-by-step explanation:
Given data table
x 7 10 8 8 8 9 = total 50
P(X=x) [tex]\frac{7}{50} = 0.14[/tex] [tex]\frac{10}{50} = 0.2[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{9}{50} = 0.18[/tex]
Sum of the probabilities is equal ∑x P(x=x)
= 0.14 +0.2 +0.16 +0.16+0.16 +0.18
=1
Given data table
spinning
a spinner 1 2 3 4 5 6
x 7 10 8 8 8 9
P(X=x) 0.14 0.2 0.16 0.16 0.16 0.18
The experimental probability of spinning a number less than 2
P( x<2) = P( x=0) +P(x=1)
= 0 + 0.14
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
yuhh get in too ittt
Answer:
A
Step-by-step explanation:
16x-16=4y
4(4x-4)=4y
y=4x-4
Therefore, the correct answer is choice A. Hope this helps!
Answer:
16x-16=4(4x-4)
Step-by-step explanation:
16x-16=4(4x-4)
4(4x)=16x
4(-4)=-16
i need help im too lazy still :)
Answer:
w=-16
Step-by-step explanation:
divide -192 by 12 to isolate w
Answer:
w=-16
Step-by-step explanation:
A body was found at midnight in a warehouse where the temperature was 55. The medical examiner found the temperature of the body to be 66. What was the approximate time of death?
Answer:
5 p.m.
Step-by-step explanation:
Newton's law of cooling-
[tex]T(t)=t_a+(t_0-t_a)e^{-kt}[/tex]
where,
[tex]t_0[/tex] = the initial temp. = 98.6 F (human body temp.)
k = 0.1947,
T(t) = 66 F,
[tex]t_a[/tex] = 55 F,
Putting the values,
[tex]\Rightarrow 66=55+(98.6-55)e^{-0.1947\cdot t}\\\\\Rightarrow 66=55+(43.6)e^{-0.1947\cdot t}\\\Rightarrow (43.6)e^{-0.1947\cdot t}=11\\\Rightarrow e^{-0.1947\cdot t}=\dfrac{11}{43.6}=0.2523\Rightarrow \ln e^{-0.1947\cdot t}=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times \ln e=\ln 0.2523\\\Rightarrow -0.1947\cdot t\times 1=\ln 0.2523\\\Rightarrow t=\dfrac{\ln 0.2523}{-0.1947}\\\Rightarrow t=7\ h[/tex]
Therefore, the time of death was 7 hours before midnight i.e at 5 pm.
Question
At a grocery store, bulk almonds sell for $3.80 per pound. The cost, y, in dollars, of x pounds of almonds is shown in the
table.
x (pounds)
y ($)
1.90
0.5
1
3.80
Hola
1.5
5.70
2
7.60
Select the correct answer from each drop-down menu.
The relation described in the table is
The domain of the relation is
The range of the relation is
Submit
INTL
Answer:
The domain is {0.5, 1, 1.5, 2}
The range is {1.9, 3.8, 5.7, 7.6}
Step-by-step explanation:
The cost, y is in dollars, and x in pounds of almonds is shown in the table.
x (pounds) y ($)
0.5 1.9
1 3.80
1.5 5.70
2 7.60
The grocery store sells almond at $3.80 per pound, the relation between y and x is given by the function:
y = 3.8x
The x values are the independent variables and they serve as the input of the function while the y values are the dependent variables (dependent on x) and the serve as the output of the function.
The domain consist of input values which is the x values. The domain is {0.5, 1, 1.5, 2}
The range consists of all output values i.e the y values. The range is {1.9, 3.8, 5.7, 7.6}
Any number of pounds of almonds can be purchased, including partial amounts, so the relation described in the table is continuous.
Because x can be any positive number of pounds, the domain of the relation is x ≥ 0, or x-values greater than or equal to 0.
Because y can be any positive dollar amount, the range of the relation is y ≥ 0, or y-values greater than or equal to 0.
Michelle and her family went out to dinner. Their bill, after tax, came to $40. They want to leave a 15% tip. How much money should they leave for the tip? .
Answer:
tip is $6
Step-by-step explanation:
multiply 40 by 0.15 so 6
Please help me ASAP!!
Answer:
[tex] \boxed{[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] } [/tex]
Step-by-step explanation:
[tex]3 \times 1 = 3 \\ \\ 3 \times ( - 4) = - 12 \\ \\ 3 \times 5 = 15 \\ \\ 3 \times ( - 7) = - 21 \\ \\ \\ = > 3.[1 \: \: \: - 4 \: \: \: \: \: \: 5 \: \: \: - 7] =[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] [/tex]
?????????????????????????
Answer:
[tex] \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} [/tex]
Given:
[tex]f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8[/tex]
To find:
[tex](f - g)(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
[tex] \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3[/tex]
4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair
Answer:
c) a right angle
Step-by-step explanation:
A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.
These angles have the following attributes:
a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°
b) The angles are adjacent complementary angles: These means that the angles are next to each other.
Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.
Answer:
a right angle
Step-by-step explanation:
What comes after 2- on the number line
Answer:
If you're going to the left, 1, if you're going to the right 3.
If you meant to write -2, then to the left -3 and to the right =-1
<-------------------------------------------------------------->
-3 -2 -1 0 1 2 3
Identify the 9th term of the given geometric sequence. [/tex]1/3, −1/9, 1/27, −1/81, ....
HELP ASAP PLEASE!!!
Step-by-step explanation:
Before we find the ninth term, we need to find the common ratio. The common ratio in a geometric sequence is the number that every number after the first one is multiplied by. For example, in the sequence {2, 4, 8, 16, 32, ...}, the common ratio is 2.
Now, for our example, the numbers in the sequence alternate between negative and positive numbers. What does that tell us about the common ratio? Well, the common ratio has to be negative because the negative sign keeps alternating.
So we know the common ratio is negative. But what about the rest of the number? Well, we can see that the ratio has a 1 in the numerator because the numerator is the same throughout the sequence (aside from the alternating negative sign).
Now that we've narrowed down the possibilities to -1/x, let's figure out the denominator of the common ratio. The denominator changes from 3 to 9 to 27 to 81. Do you see a pattern there? Each denominator is 3 times the value of the previous denominator. The denominator of the common ratio, then, must be 3.
Ok. We have our common ratio, -1/3, but the question we still need to find the 9th term in the sequence. Well, we can write out the pattern until we get to the term we want. But what if you were trying to find the one hundredth or the one thousandth term? That would take a very long time to write out. Instead, we can take the first number in the sequence (1/3) and multiply it by the our common factor to the power of the remaining terms. As a formula, this looks like: [tex]a_{1} *f^{n-1} = a_{n}[/tex], where a is your first term, f is your common factor and n is the number of the term you are trying to find.
So, finally, we can solve the problem.
1/3 * (-1/3)⁸ = a₉
1/3 * 1/6561 = 1/19683
So the value of the ninth term of the given geometric sequence is 1/19683.
I hope you learned something and it wasn't too difficult to understand.
Answer:
^^ what he said xD
Step-by-step explanation:
It was snowing again and I smiled as I stared at the white flakes fluttering by my window. It was (capitalized the C)Christmas, and my day had been one of the best all year. First I (had removed) awakened in the morning to the sound of my brother (added the n to runing)running madly around the house, yelling that it was Christmas. Jumping out of bed, (capitalized the i that was there)I skipped happily down the stairs, with my brother at my heels, and made my way to the Christmas tree in the living room. My parents(apostrophe removed from between the t and s) groggily walked down the stairs to watch us open (up removed) our presents. My Mom sat down on the couch and dad plopped himself on the floor, grumbling something about coffee. I started opening my presents because, after all, its ladies first. Ripping open the wrapping paper, I stared down at my brand(removed dash)new pink boom box. It was beautiful!(question mark changed to exclamation) (capitalized e)Even more, it came with little, stick-on jewels to decorate the boom box. Mom and Dad finally got their coffee and we all took turns watching each other open presents. I got(get turned to got) many more presents that were absolutely amazing. (changed every one into one word)Everyone spends the rest of the day admiring their gifts and playing with their new toys. "I will remember this Christmas forever,"(added endnote) I thought. (capitalized s)Sighing contentedly, I finally turned away from the snow (removed the e from what was danceing)dancing outside the window and rejoined my family.
umm what are the answers for :
21% of 36570
12.2% of 640
87.5% of 860
37.5% of 3200
awwwww pls help meh!!! i need to know asap...please..try help!!...thank u sooo much!!
lu yall..pls help!!!
Step-by-step explanation:
21% of 36570
21/100 x 36570 = 7679.7
12.2% of 640
12.2/100 x 640 = 78.08
87.5% of 860
87.5/100 x 860 = 752.5
37.5% of 3200
37.5/100 x 3200 = 1200
what is the slope.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is the rise over run, so...
It is 3/1 or just 3.
Step-by-step explanation:
Rise/run is slope
(2,1) is a point on the line, and so is (3,4)
Write down the solution for 5x - 12 = x - 8. Write down your answer in the form x =
Answer:
x= 1
Step-by-step explanation:
5x - 12 = x - 8
Subtract x from each side
5x -12 -x = x-8-x
4x -12 = -8
Add 12 to each side
4x-12+12 = -8+12
4x = 4
Divide each side by 4
4x/4 = 4/4
x = 1
Please answer this correctly
Answer:
4 days
Step-by-step explanation:
there are 8 pints in a gallon
Answer:
4 days.
please see the attached picture for full solution solution.
hope it helps
good luck on your assignment
Work out the surface area of the solid cuboid. The diagram is not drawn to scale.2cm,4cm and 5cm
The surface area of the solid cuboid is 76 cm²
Calculating the surface area of a cuboidFrom the question, we are to determine the surface area of the cuboid
The surface area of a cuboid is given by the formula,
Surface area = 2(lb + lh + bh)
Where l is the length
b is the breadth
and h is the height
Let
l = 5 cm
b = 4 cm
h = 2cm
Then,
Surface area = 2(5×4 + 5×2 + 4×2)
Surface area = 2(20 + 10 + 8)
Surface area = 2(38)
Surface area = 76 cm²
Hence, the surface area of the solid cuboid is 76 cm²
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find the value of x,
Answer:
for the first one they are opposite angles so they are the same degrees so x=15 I forget adjacent angles so idk the second one sorry
Is the graph increasing, decreasing, or constant?
O A. Increasing
ООО
B. Decreasing
O C. Constant
constant it will keep going up and it won't stop
In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.
We need to check whether the given graph is increasing, decreasing, or constant.
How do you tell if a graph is increasing?Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.
From the given graph we can see that the line is increasing from left to right.
In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.
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Find the mean of the following data set: (Round to the nearest 10th) 2,3,10,15,20,24,30
Answer:
2+3+10+15+20+2+30=82
82/8=10.25
Step-by-step explanation:+10.25
Answer:
The answer is 14.9
Step-by-step explanation:
First I added 2,3,10,15,20,24,30 then divided it by 7.
A number is increased by 2 and then multiplied by 3. The result is 24. What is this number
Answer:
The answer is 6.
Step-by-step explanation:
To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
8, 17, 26, ...
Find the 32nd term.
Answer: 287
Step-by-step explanation:
8, 17, 26
So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.
That means we need 29 more terms to get to the 32nd term.
29 * 9 = 261
261 + 26 = 287
287 is 29 terms past 26, which is the 3rd term.
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate? Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%? Explain.
Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.
Step-by-step explanation:
From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.
Interest = (Principal × Rate × Time)/100
630 = (4200 × R × 3)/100
630 = 12600R/100
12600R = 630 × 100
12600R = 63000
Interest rate =63000/12600 = 5%
Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?
Interest = (Principal × Rate × Time)/100
Interest = (4200 × 6 × 4)/100
= 100800/100
= $1008
At the end of 4 years, Joshua will have:
= $4200 + $1008
= $5208
Yes it's possible.
Tessa is taking her family out to dinner and the bill is $250. She has a coupon for 15% off. After the discount is applied, she is going to add a 20% tip for their server. What is the total after the discount and the tip?
Answer:
$255
Step-by-step explanation:
250*.85=212.5
212.5*1.2=255
Find the values of x and y in the diagram.
Answer:can you put some angle degrees on it plz
Step-by-step explanation:
Plz try your best do not quess
Answer:
4,000,000,000,000
Step-by-step explanation:
Make it look like this first:
[tex]\frac{6*10^8}{1.5*10^-4}[/tex]
You get:
[tex]4*10^{12}[/tex]
Which is 4,000,000,000,000
