Answer:
[tex]y = mx + c \\ 6 = 3m + c...(1) \\ - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m = - 8 \\ \therefore \: m = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c = 12 \\ \boxed{y = - 2x + 12}[/tex]
Answer:
y=-2x+12
Step-by-step explanation:
Charlie drove 495 miles in 9 hours. How long would it take to drive 715 miles?
Answer:
13 hours
Step-by-step explanation:
if he drives 495 miles in 9 hours, he drives 55 miles each hour. 55x13=715
Answer:
13 hours
Step-by-step explanation:
Charlie drove 495 miles in
= 9 hours
∴ Rate
= miles/hours
= 495/9
= 55 miles per hour
∴ No. of hours to travel 715 miles
= miles/miles per hour
= 715/55 hours
= 13 hours
Thus, 13 hours would it take to drive 715 miles.
he heights of one hundred trees in a certain forest are measured. It’s found that the mean height of the trees is 48 feet. Use this information to answer the following:
Would it be possible to have a standard deviation of 7.5 feet? If so, what would this tell us about the tree heights in the forest?
Would it be possible to have a standard deviation of 1? If so, what would this tell us about the tree heights in the forest?
Would it be possible to have a standard deviation of 0? If so, what would this tell us about the tree heights in the forest?
Would it be possible to have a standard deviation of -2.5? Why or why not?
Using the concept of standard deviation, it is found that:
It would be possible to have standard deviations of 7.5 feet and 1 feet, which would mean that the distribution of tree heights are normal.It would be possible to have a standard deviation of 0 feet, which would mean that all trees have the same height.It would not be possible to have a standard deviation of -2.5 feet, as it is always a positive value.The standard deviation of a data-set is given by the square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values. It is always a positive value, thus, a standard deviation of -2.5 feet, for example, is not possible.If a data-set has a standard deviation of 0, it means that all values in the data-set are the same.In a normal distribution, 99.7% of the measures are within 3 standard deviations of the mean.
[tex]48 \pm 3(7)[/tex] and [tex]48 \pm 3(1)[/tex] are both reasonable distributions for the tree heights, thus, it is possible to have standard deviations of 7.5 and 1 feet.
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measurements <2 and <4 are??
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Acording to given figure, The Angles 2 and 4 forms :
Alternative Exterior Angles ~If k = -5 find the value of -7k? Please explain step by step or show work on piece of paper to get marked.
Answer:
35
Step-by-step explanation:
Given k=-5
Substitute into the equation given
-7(-5) = 35
the 4.1 m of concrete is made into the shape of a cylinder. The base has radios 0.5 metres. work out the height of the cylinder ( photo attached)
Answer:
5.2 metres
Step-by-step explanation:
v = pi. r^2 . h
4.1 = 3.1416 × 0.25 * h
h = 5.22 m
You deposit 572.30 for an account that pays 4.5% interest how much interest you earn after six years
Answer:
$154.52
Step-by-step explanation:
First, you need to know the formula for this type of question.
The formula is I = Prt. These variables are: I = Interest, P = Principle investment, r = Rate, and t = Time.
So, your equation is I = 572.30(0.045)(6), where you have to find "I".
If you multiply 0.045 and 6, you get 0.27. Then, you multiply 0.27 and 572.30, which is 154.521.
The interest you earn will be $154.521. You can round the thousandths digit based on how you have been taught to do, but I will round the answer to 154.52.
Good luck!
For each pair of functions f and g below, find S (8 (x)) and
Please help
9514 1404 393
Answer:
(a) f(g(x)) = g(f(x)) = x; functions are inverses
(b) f(g(x)) = g(f(x)) = x +4; functions are not inverses
Step-by-step explanation:
(a)f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)
f(g(x)) = x
__
g(f(x)) is the same, because f(x) = g(x).
g(f(x)) = x
f and g are inverses of each other__
(b)f(g(x)) = f(x +2) = (x +2) +2
f(g(x)) = x +4
__
g(f(x)) is the same, because f(x) = g(x).
g(f(x)) = x+4
__
f and g are not inverses of each otherPlease answer this question!!!
Answer:
C: 3x (x-3)=0
Step-by-step explanation:
3x=0 or x-3=0
x=0 or x=3
Find an expression which represents the difference when (-9x +9) is subtracted
from (x + 8) in simplest terms.
Answer:
10x - 1
Step-by-step explanation:
(x + 8) - (-9x + 9) = x + 8 + 9x - 9 = (x+9x) + (8-9) = 10x -1
The equivalent Expression is (10x- 1).
What is Expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
For example, A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
Given:
We have to find the difference when (-9x +9) is subtracted from (x + 8)
so, (x + 8) - (-9x + 9)
= x + 8 + 9x - 9
= (x+9x) + (8-9)
= 10x -1
Hence, the equivalent Expression is (10x- 1).
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While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.
please help me !!! and thank youu !
Answer:
a=-3
b=-63
c= 2
d=8
e=9
f=128
h=-21
i=24
Step-by-step explanation:
Which equation shows the quadratie formula used correctly to solve 7x? = 9+X for x?
Exact form niya is ung pang c
last answer(4 )
x=7x^2-x-9
Guys please help out with this asap ! thanks
Convert the unit measure
HELP ME, THE MIDPOINT OF AB IS M (-4,-7). If the coordinates of A are (-7,-6) what are the coordinates of B?
Answer:
(-1,-8)
Step-by-step explanation:
Multiply each value of midpoint by 2 and take away given points coordinates
Each workbook is 3/8in thick. How many inches thick is a stack of 5 workbooks
Answer:
15/8 or 1 7/8
Step-by-step explanation:
Multiply the numerator by the number of workbooks (5)
You get 15/8.
Simplify
The length of 5 workbooks is 7 1/8 inch.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Thickness of workbook = 3/8 inch
Total workbooks = 5
So, the thickness of 5 workbooks
=5* 3/8
=15/8
=7 1/8 inch
Hence, the thickness of 5 workbooks is 7 1/8 inch.
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Given that A = 60° and B = 30'. evaluate (sin
2 cos A) + cos B. leaving your answer in surd
form
How do you write 3.866 x 10^15 in standard form?ASAP BRAINLIST
Answer:
3866000000000000
Step-by-step explanation:
you move the decimal 15 spaces to the right
Steven drove 12,060 miles in the last 12 months. On average, how many miles did Steven drive each month?
The average distance traveled by Steven in 1 month is 1,005 miles.
What is the average?In plain English, an average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. Scoring an average of 85 on the test means may signify a value in the middle of two extremes or the simple average.So, average miles traveled in 1 month:
Distance Steven drove is 12060 miles.Distance traveled in 12 months.So, the average distance traveled in 1 month is:
12060/12 1005 milesTherefore, the average distance traveled by Steven in 1 month is 1,005 miles.
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Answer:
The average distance traveled by Steven in 1 month is 1,005 miles.
Step-by-step explanation:
Which best describes the value of 8 in 3.458?
Since 8 is in the thousandths place, the value of the digit is 0.008.
Since 8 is in the hundredths place, the value of the digit is 0.08.
O Since 8 is in the thousandths place, the value of the digit is 0.08.
Since 8 is in the hundredths place, the value of the digit is 0.008.
Answer:
Since 8 is in the thousandths place, the value of the digit is 0.008.
um I hope that's correct.
What is the distance between -33 and -18.5 on a number line
Step-by-step explanation:
The distance between two numbers in a number line is obtained by subtract the two numbers. The order of the subtraction starts with the number a bigger value followed by the number with the smaller value. For example,
x
and
y
are the two numbers and
x
≥
y
, then the correct order should be
x
−
y
.
Answer and Explanation:
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Given the numbers
7
and
−
11
on the number line, find the distance between the two numbers.
Solution:
Since
7
is...
Sidney originally had c cups of Greek yogurt. He used 1.75 cups to make a salad dressing and now he has 5.5 cups left over. Which equation can be used to determine the value of c?
A.1.75c=5.5
B. c/1.75=5.5
C.c-1.75=5.5
D. 1.75+c-5.5
What phrase in the problem indicates that estimated product is being asked for?
Pa HELP POOOOOOOO
Answer:
571 x 32 = 18,272
Step-by-step explanation:
Okay, multiplication was always a favorite.
Think of this, 571 thirty-two times.
The area of a rectangular wall of a barn is 33 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn.
Answer:
Width=3ft
Length=11ft
To find the quotient of 3 1/6 multiply 3 by? A.1/6 B.3/6 C.3 or D.6?????!!!!! Hellpppppp meeeeeeeeee
Step-by-step explanation:
first, you multiply 3 by 6 and then add 1 to the answer the quotient will be 19/6
Henry draws triangle FGH. Then, he translates that triangle to create triangle F'G'H'. The distance from F to F' is 4 centimeters. What is the length of sides GG'? a. 2 cm b. 3 cm c. 4 cm d. 6 cm
The length of sides GG' when the distance from FF' is 4 cm is also 4 cm.
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
When you perform translations, you slide a figure left or right, up or down. This means that, in the coordinate plane, the coordinates for the vertices of the figure will change.
It is given that Henry translates the ΔFGH to create ΔF'G'H'.
FF' = 4cm.
Translation is a rigid transformation. In translation, every point of the object must be moved by same distance and in the same direction.
In other words the distance between corresponding points are same.
GG' =?
Since G and G' are corresponding points, so
GG' = FF'
GG' = 4 cm
The length of GG' is 4 centimeters.
Hence, When the distance from FF' is 4 cm, the length of sides GG' is similarly 4 cm. so option C is the correct answer.
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4/8 x 4/8
i want some friends
answer if you like and comment if you want to be my friend
Answer:
i will be ur friend........ with pleasure
Answer:
1/8
Step-by-step explanation:
Have a good
bye bye
Pls help me with this question
Answer:
-1;undefined;1;0
Step-by-step explanation:
The first one (-9/9), can also be written as - 9/9 = - 1.
The second one (9/0), is undefined because every single term even 0 itself, if you divide it by 0, it'll be undefined!
The third one, we see we have division, and whenever we have division or multiplication and also 2 negative signs, they cancel each other, as you're left with 9/9=1.
The fourth one, whenever you have 0 at the numerator, no matter the denominator(only matters when it's =0, but that's undefined), the result will always be 0 !
pls help me with question 3
the differentiation of x^4 + y^4=0 is..?
Answer:
I am doinnnnnmngggg gggg