In 15 years, the average car releases 458.7 kilograms of nox.
How much nox does that vehicle release?
We know that the average vehicle releases 1.39 grams per mile driven.
And, in average, that car drives 22,000 miles per year.
So in a year, a car releases:
M = (22,000)*1.39 g = 30,580 g = 30.58 kg
In one year, the average car releases around 30.58 kilograms of nox.
Then in 15 years, the car releases 15 times that amount, then we have the product:
T = 15*30.58 kg = 458.7 kg
In 15 years, the average car releases 458.7 kilograms of nox.
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There are 20 students in a class.
12 of the students are girls.
Find the ratio of the number of girls to the number of boys.
Give your ratio in the form n : 1.
Answer:
1.5:1
Step-by-step explanation:
the original answer is 12:8, so you have to simplify it down. you can get it down to 3:2 with whole numbers, but to get it down to a ratio with one, you'll have to divide each number by 2 because the bottom number is 2, so the final answer would be 1.5:1
Write a rule for the nth term of the geometric sequence for which a1=−6 and a5=−486
The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
The nth term of a geometric sequenceFirst term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
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Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes
The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.
What is a normal distribution?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.
Consider a shipment of 1500 boxes of rice.
Then the number of the boxes will weigh 18 ounces or less will be
z = (18 - 20) / 1.5
z = -1.33
Then the probability will be
P(x ≤ 18) = P(z ≤ -1.33)
P(x ≤ 18) = 1 - P(z > -1.33)
P(x ≤ 18) = 1 - [1 - P(z < -1.33)]
P(x ≤ 18) = P(z < -1.33)
P(x ≤ 18) = 0.091211
Then the number of the boxes will weigh 18 ounces or less will be
⇒ 0.091211 x 1500
⇒ 136.8
approximately 138 boxes.
Then the correct option is A.
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Find the area of the triangle ?
Answer:
16 cm²/m²
Step-by-step explanation:
The formula to find the area of a triangle is:
Area of the triangle = [tex]\frac{1}{2}[/tex] × base × height
Where base = 8 and height = 4
So, the area of the triangle = [tex]\frac{1}{2}[/tex] × 8 × 4 = 16 cm²/m²
PROVE :
sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4
Step-by-step explanation:
[tex] \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} [/tex]
[tex] \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) [/tex]
[tex] \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} [/tex]
[tex] \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} [/tex]
Which of the following equations describes the graph?
y=-x^2+1
An equation that describes the graph is [tex]y=-x^{2} +1[/tex]
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is parabola?"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "
For given question,
The graph describes the parabola.
The parabola opens downward, so the equation of the parabola would be,
[tex]y=-x^{2}[/tex]
We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.
if c < 0 then the graph of the function moves down by c units.
As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,
[tex]y=-x^2+1[/tex]
Therefore, the equation that describes the graph is [tex]y=-x^{2} +1[/tex]
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what the 2 soultion answer to
y = 6x − 4
y = 5x − 3
[tex]y= 6x -4~~~~~~...(i)\\\\y = 5x -3~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~6x -4 = 5x -3\\\\\implies 6x -5x = -3 + 4\\\\\implies x = 1\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 6(1) -4 = 2\\\\\text{Hence,}~ (x,y) = (1,2)[/tex]
can someone help with this please
Answer:
Step-by-step explanation:
The table shows the monthly low temperature for several cities in December. The monthly low temperature in Toledo in December was 212°F. Which of the cities in the table, if any, had a lower December temperature than Toledo? Explain your reasoning.
Please this is urgent, please.
Of these cities, the place that has the lowest temperature than Toledo is Youngstown.
What is the temperature of Youngstown?The town is known to have a temperature that is less than 20. This shows that the temperature has fallen below all other temperatures in the table.
Hence it can be concluded that the lowest table here is the temperature of Youngstown at -20 degrees.
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(07.04A)
Which of the tables represents a function?
Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7
Table A
Table B
Table C
Table D
Answer:
Table C
Step-by-step explanation:
The input value in Table C gives a different value in the output.
If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?
=======================================================
Explanation:
Let's use an example to see why this is
A = {1,2,3,4,5,6,7}
B = {x,y,z}
A U B = {1,2,3,4,5,6,7, x,y,z}
We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).
There are 7 items in set A, and 3 items in set B.
Therefore, we have 7+3 = 10 items in set A U B
The symbol U refers to the set union operator.
If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.
The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.
-----------------
If you want a formula to write down on a notecard or reference sheet, then it would be
n(A U B) = n(A)+n(B)
where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region
(5 1/6-x)*2 7/10-1 3/14=3 2/7
Answer:
3.5
Step-by-step explanation:
What is the equation of a line that passes through (-6,2) and has a slope of -(1)/(2)?
Answer:
y= -1/2x+5
Step-by-step explanation:
I get the part A of the question its just the part B that i would really appreciate for someone to explain
Step-by-step explanation:
650065 = (a² + 1)(c² + 1)
and
650065 = (ac - 1)² + (a + c)² = the sum of 2 squared numbers (ac - 1)² and (a + c)².
we see that 5 and 13 and therefore 5×13=65 are all factor of 650065. and then 650065/65 = 10001.
and we know that 65 = (64 + 1) = (8² + 1)
and 10001 = (10000 + 1) = (100² + 1)
so, a = 8, c = 100
that means the 2 squared numbers summing up to 650065 are
(ac - 1)² = (8×100 - 1)² = 799² = 638,401
(a + c)² = (8 + 100)² = 108² = 11,664
650,065 = 638,401 + 11,664 = 799² + 108²
The first number in a pattern is 6. The pattern follows the rule "Add 1, Multiply by 2" Which of the following shows the next four numbers in the pattern?
A - 7, 8, 9, 18
B - 12, 13, 26 27
C - 7, 14, 15, 30
D - 12 14. 28, 28
Answer:
C
Step-by-step explanation:
Remark
You must do the changes in order. Add 1 then multiply by 2
First entry: 6Add 1: 6 + 1 = 7Multiply by 2 = 2*7 = 14Add 1: 14 + 1 = 15Multiply by 2: 15 * 2 = 30Answer: 7 14 15 30
What are the approximate solutions to the equation? A. X=1.2 and x=3 B. X= 1.7 and x= 6 C. X= 2.6 and X = -3 D. X=1 and x=4.2
The solutions are where the red and blue lines cross each other.
Answer would be D. X ≅ 1 and x ≅ 4.2
(x-1)(x+1)= выполнить умножение
Answer:
x^2-1^2
Step-by-step explanation:
formula:
(a-b)(a+b)=a^2-b^2
9+2×42+6-2
Please show the work
Answer:
The answer is 97
Step-by-step explanation:
According to PEMDAS, we will solve the multiplication first. 2 × 42 is 84. Next, we will add or subtract from left to right. 9 + 84 + 6 – 2 is 97, the answer to our problem.
9 + 2 × 42 + 6 - 2
Multiply 2 and 42 to get 84.
9 + 84 + 6 - 2
Add 9 and 84 to get 93.
93 + 6 - 2
Add 93 and 6 to get 99.
99 - 2
Subtract 2 from 99 to get 97.
97 ===> Answer
[tex]\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04}}}}}}}[/tex]
how do i divide 431.25 by 61
Answer:
7.070 to the nearest thousandth
Step-by-step explanation:
You could use a calculator or do it manually using long division:
61)431 .2500(7.0695 <---------Quotient
427
425
367
580
549
310
305
Find the measure of the angle between u = 6i - 3j and
v = 2i+j to the nearest tenth of a degree.
Answer:
θ = 53.1° (to the nearest tenth)
Step-by-step explanation:
FORMULA :
Let θ be the measure of the angle between U and V :
[tex]\cos \theta =\frac{\overrightarrow{U} .\overrightarrow{V} }{\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert }[/tex]
========================
[tex]\overrightarrow{U} \times \overrightarrow{V} =6\times 2+\left( -3\right) \times 1=9[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{6^{2}+\left( -3\right)^{2} } =\sqrt{45} =3\sqrt{5}[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{2^{2}+\left( 1\right)^{2} } =\sqrt{5}[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert =3\sqrt{5} \times \sqrt{5} = 15[/tex]
…………………………………………………
Then
[tex]\cos \theta =\frac{9}{15} =\frac{3}{5}[/tex]
[tex]\theta =\cos^{-1} \left( \frac{3}{5} \right) =53.130102354156[/tex]
1. Sally makes $600 dollars a week and earns 20% commission on her sales. If she sells $5000 dollars worth of furniture one week. What does she make in total? (Think weekly salary PLUS commission = total salary)
Answer:
20% of sales : $1000
and salary+commission : $1000+ 600
So total salary : $1600
B) State whether the given pairs are complementary, supplementary or neither.
1) 25°, 155°
2) 46°, 44°
3) 68°, 108°
4) 180, 72⁰
6) 19⁰, 161°
5) 320, 58⁰.
Answer:
1st answer supplementary angles
2nd answer complementary angles
3rd answer neither
4th ananswe complementary angles
5th answer complementary angles
6th answer supplementary angles
hope you find this helpful
what is the average rate of change for this quadratic function for the interval fr x=2 to x=4?
Answer:
0-4
derivate first
function is missing
substitute the value of X
The volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. What is the volume of a cube with side 4 inches?
Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,
Volume of the cube = (4 in)³ = 64 in³
Hence, the volume of the cube with side length of 4 inches is 64 inches³.
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what are the key features of the graph of a trigonometric function? How do you find them from a graph or an equation?
Answer:
The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.
They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).
which is the value of the expression 4 / 1/8
Answer: Your answer is going to be 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
1/8 is nothing but 0.125
4/.125 = 32
.125 goes into four 32 times.
What is the area of the kite?
A. 1,500 ft^2
B. 640 ft^2
C. 320 ft^2
D. 160 ft^2
thank you ! :)
Solve three fourths times two thirds
Answer:
1/4
Step-by-step explanation:
3/4 x 2/4 = 6/24
6/24 simplified is 1/4
Please mark Brainliest!!
Answer:
6/12 or 1/2
Step-by-step explanation:
Start by multiplying the numerators
3 x 2 = 6
Then multiply the denominators
4 x 3 = 12
Then you get your answer of 6/12
But if you want it simplified then divide both the denominator and numerator by 6 and you will get your final answer of
1/2
Hope this helped
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Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line y=1/4x+5
Answer:
Step-by-step explanation:
perp. -4
y - 2 = -4(x - 0)
y - 2 = -4x + 0
y = -4x + 2
20 POINTS!!! WILL GIVE BRAINLIEST!!!
Answer:
equivalent. not equivalent. not equivalent
Step-by-step explanation: