Answer:
The slope of the line is two.
Step-by-step explanation:
Recall that to find the slope between any two points, we can use the slope formula:
[tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Let (6, 8) be our (x₁, y₁) and let (1, -2) be our (x₂, y₂). Substitution yields:
[tex]\displaystyle m=\frac{(-2)-(8)}{(1)-(6)}[/tex]
Subtract:
[tex]\displaystyle m=\frac{-10}{-5}[/tex]
Divide:
[tex]m=2[/tex]
Therefore, the slope of the line is two.
Answer:
2
Step-by-step explanation:
A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.4 m long. The woman hopes to land in the water at a point that is 11.8 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 79°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre
Answer:
answer is 7.9 will 2 by 2 9 routing reading swimming on a rope and length to 1188 answer is land to hoga tomato hoga to answer to yahi hai gana
Karen made 175 quarts of punch for her son and 11.3 quarts for
her daughter. How many quarts of punch did she make in total?
Answer:
186.3 quarts of punch
Step-by-step explanation:
175+11.3=186.3
it asks how much did she make in total so you would need to add the 2 together to get the total
round 75. 9913 to the nearest tenth, hundredth, thousandth
Find the sum of fractions. Write the answer in simplest form 3/4+1/6
Answer:
11/12
Step-by-step explanation:
Step-by-step explanation:
Find a common denominator (12)
For 3/4, multiply the numerator and denominator by 3 to get 9/12
For 1/6, multiply by 2 to get 2/12 and then add the fractions to get 11/12
Answer: 11/12
Suppose you work in the quality assurance department of a chemical processing plant and it is your responsibility to ascertain whether the viscosity of a certain chemical remains within a prescribed limit. To that end you measure fluid samples using a viscometer. a. The viscosities of a sample of 10 fluids processed during the day shift were measured to have the following results (Pa.s): 71, 45, 54, 75, 50, 49, 63, 55, 48, 50. Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence.
Answer:
48.668 ≤ μ ≤ 63.332
Step-by-step explanation:
Given the data:
Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50
Number of samples (n) = 10
α = 95% = 0.05
Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence
True mean = μ
Confidence interval :
m ± t(α/2 ; df) * s/√n
m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n
m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9
Calculating the sample mean and standard deviation using calculator to save computation time :
71, 45, 54, 75, 50, 49, 63, 55, 48, 50
m = 56 ; s = 10.25
m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n
From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262
56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)
48.668 ≤ μ ≤ 63.332
The EXACT value of 2 divided (0.01)2
Answer:
Find the exact value using trigonometric identities.
100
Step-by-step explanation:
The exact value of 2 divided by (0.01) 2 is 20000.
We are given that;
2 divided (0.01)2
Now,
To find the exact value of 2 divided by (0.01) 2, we can use the following steps:
Rewrite 0.01 as a fraction: 0.01 = 1/100
Square both the numerator and the denominator: (0.01) 2 = (1/100) 2 = 1/10000
Flip the fraction and multiply by 2: 2 / (0.01) 2 = 2 x 10000/1 = 20000
Therefore, by algebra the answer will be 20000.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ6
Find the values of x and y.
solve the equation -10xx+1+7x=37
Answer:
x = No Real Solutions
Step-by-step explanation:
[tex]-10x^2+7x+1=37[/tex]
37-1=36; [tex]-10x^2+7x+(-36)=0[/tex]
[tex]x=\frac {-7(+/-)\sqrt{7^2-4(-10)(-36)}} {2^-10}[/tex]
[tex]x=\frac {-7(+/-)\sqrt{-1391}} {-20}[/tex]
x = No Real Solutions
Marie and fe work in a flower shop 6 hours on weekend to add their daily allowance in school. They spends 2 1/3 hours for making bouquet, 1 1/2 hours for cutting leaves, and the rest for flower arrangements. How many hours on weekend they spend in flower arrangements?
Answer:
2 1/6 hours
Step-by-step explanation:
2 1/3 + 1 1/2 + x = 6
convert all mixed numbers to improper fractions
7/3 + 3/2 + x = 6/1
change all numbers to have a common denominator
14/6 + 9/6 + x = 36/6
combine like terms
23/6 + x = 36/6
subtract 23/6 from both sides
x = 13/6
convert improper fraction to mixed number
2 1/6
Frog and Toad decided to meet. Their houses are 120 ft apart. They start hopping towards each other at a speed of 2 ft/min and 3 ft/min, respectively. How long it will take until they are going to be 5 feet apart?
Answer:
23
Step-by-step explanation:
What is the slope of the line that passes through the points M(-3,5) and N (1,8)
Answer:
the answer is A. 3/4
Step-by-step explanation:
Try using Symbolab for future reference it works really well (it's what I use ALL the time)!
if (x + 4) is a factor of polynomial p, which statement must be true?
A.p(4) = 0
B. p(-4) > 0
C. p(-4) = 0
D. p(4) < 0
Answer: p(-4)=0
Step-by-step explanation:
100% correct
If x + 4 is factor of polynomial p than p(-4) = 0. Hence, option C. is correct.
(x + 4) is a factor of polynomial p
Factors can be define splitting the value in multipliable values.
If x + 4 is factor of the polynomial p
This can be true only if,
x + 4 = 0
x = -4, satisfy the polynomial equation i.e.
p(-4) = 0
Thus, x + 4 will be the factor of polynomial p only if p(-4) = 0.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
Could I please get an answer to this, thank you :)
Answer:
perimeter is 76
area is 330
hope this helps if you can brainliest plz
find two consecutive ODD numbers whose sum is 144.
Answer:
Smaller=x Larger=x+2
x+x+2=144
2x+2=144
2x+2-2=144-2
2x=142
2x/2=142/2
x=71
Smaller=71
Larger=73
Check: 71+73=144
Step-by-step explanation:
please mark me as the brainliest answer and please follow me for more answers to your questions.
Answer:
71 and 73
Step-by-step explanation:
First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.
Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.
Solve for x: 2x+2=144 -> 2x = 142 -> x = 71
As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.
Therefore, we arrive at our answers 71 and 73.
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n = 50, p = 0.97, x= 48
P(48) =
What does “each point of a line maps to itself” mean? I don’t understand it what it means for it to map to itself.
Bought 16 packs of cola each pack had 6 cans he drank 9 cans how many are left?
Answer:
87 cans left
Step-by-step explanation:
multiply.16 x 6 =96 then you subtract 9 and you get 87 cans
There are 87 cans of cola left.
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If there are 6 cans in a pack, and you bought 16 packs.
Total cans.
= 6 x 16
= 96 cans
If you drank 9 cans, then the number of cans left.
= 96 - 9
= 87 cans.
Therefore,
There are 87 cans of cola left.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Please help me! ASAP!!!!!!
Answer:
D
Step-by-step explanation:
y = a[tex]x^{2}[/tex] + bx + c is an equation for a parabola in standard form.
y = a(x - h)² + k is the equation for a parabola in vertex form.
We use y = because the parabola opens vertically.
The vertex is the point on the curve of the parabola, so either the lowest or highest point depending on whether it opens up or down.
We are given the vertex of (1,3), is the vertex formula h is the x and k is the y.
(h,k) or in this case (1,3).
Let's substitute the vertex.
y = a(x - 1)² + 3
To find a, we use the other point (2,6) to substitute in x and y to solve.
x = 2 y = 6
6 = a(2 - 1)² + 3
6 = a(1)² + 3
6 = a(1) + 3
6 = a + 3 Subtract 3 from each side.
6 - 3 = a + 3 - 3
6 - 3 = a
3 = a
Now we have all the elements of the equation.
a = 3
h = 1
k = 3
y = 3(x - 1)² + 3
So the answer is D.
If Jason makes $12 an hour on his new job, how many hours must he work to make the money to afford to buy some shoes that cost $160 at
the local store?
Answer:
14 hours
Step-by-step explanation:
Jason get 12 dollars and hour so if you do 12×14 you get 168. the awnser wouldn't be 13 because 12×13 equals 157 which isn't enough.
hope this helps
The lunch lady has 12 pounds of lasagna left over.
If she makes -pound servings, how many
servings of lasagna can she serve with the
amount left over?
Answer:
12
Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]
Answer:
36
Step-by-step explanation:
One factor of the polynomial 2x3 -3x2 – 3x + 2 is (x - 2), which expression represents the other factor, or factors, of the polynomial?
A. (2x + 1)(x - 1)
B (2.x2 - x+ 1)
C (2x2 + 1)
D. (2x - 1)(x+1)
Answer:
It's actually D (2x - 1)(x+1)
Step-by-step explanation:
The required factor of the polynomial 2x³ - 3x² - 3x + 2 is (2x - 1)(x + 1).
Given that,
One factor of the polynomial 2x3 -3x2 – 3x + 2 is (x - 2), which expression represents the other factor, or factors, of the polynomial is to be determined.
What are the factors?
factors can be defined by splitting the value into multipliable values.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
x - 2 is one factor of 2x³ - 3x² - 3x + 2 than
( 2x³ - 3x² - 3x + 2 ) / x - 2 = 2x² + x -1 = (2x - 1)(x + 1)
Thus, the required factor of the polynomial 2x³ - 3x² - 3x + 2 is (2x - 1)(x + 1).
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
The length of a rectangle is 3 inches more than it’s width. if the perimeter is 42 inches, find the dimensions of the rectangle
Answer:
Length = 9 in Width = 12 inStep-by-step explanation:
Length L = 3 + W
Perimeter P = 42 in
Perimeter = 2L + 2W
plugin values:
42 = 2(3 + W) + 2W
42 = 6 + 2W + 2W
42-6 = 4W
W = 36 / 4
W = 9
solve L by substituting the value of W=9 into the equation:
L = 3 + W
L = 3 + 9
L = 12
therefore, the dimensions of the rectangle:
Length = 9 in
Width = 12 in
The dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
Let l be the length and w be the width of the rectangle.
Length l = 3 + w
Perimeter P = 42 in
Perimeter = 2l + 2w
42 = 2(3 + w) + 2w
w = 36/4
w = 9 in
solve for l by substituting the value of w = 9 into the equation:
l = 3 + w
l = 3 + 9
l = 12 in
Thus, the dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
Solve the quadratic equation. 22 – 9 = 16
Answer:
22-9=16
so,
22-9
is 16
then you would take
16=16
so, you would have to divide the 2 numbers
then 1 is your answer
Step-by-step explanation:
use the functions to find f(-1/3)
Answer:
f(x) = 17/2 or 8.5
Step-by-step explanation:
f ( x ) = 10-9/2x
By substituting the values,
f (x) = 10 - 9/2(-1/3)
= 10-3/2 = 17/2= 8.5
Two ratios that are equivalent to 2:12
One equivalent ratio is 1:6
To get this ratio, you divide both parts of 2:12 by 2
2/2 = 1
12/2 = 6
So that's why 2:12 is equivalent to 1:6
From here we could multiply both parts by say 3
1*3 = 3
6*3 = 18
Meaning that 1:6 and 2:12 are equivalent to 3:18
==============================================
Two possible answers are 1:6 and 3:18
There are infinitely possible answers
8. |13|- |-71 =
a. 6
b. - 6
c. 20
d. - 20
Answer: A
Step-by-step explanation:
The |13| means absolute value. Absolute value tells you that the value inside is always positive. Even if you have a negative number in the absolute value bars, it automatically becomes positive.
|13|-|-7| [rewrite without absolute value]
13-7 [subtract]
6
Now, we know that the answer is 6.
Answer:
i think 6
beacase 13-71 is 6
You spend $4.50 on 5 pounds of apples. What is the unit rate in dollars per pound?
Answer:
$0.90 per pound.
Step-by-step explanation:
4.50:5
5/5=1
4.50/5=0.90
Given the following formula, solve for r c=2rr
Answer:
[tex] \sqrt{ \frac{c}{2} } = r[/tex]
Step-by-step explanation:
c=2rr
c = 2r×r
c= 2r²
c/2= r²
[tex] \sqrt{ \frac{c}{2} } = \sqrt{ {r}^{2} } \\ \\ \sqrt{ \frac{c}{2} } = r[/tex]
simplify by combining like terms: 7- (6x+3)
Answer:
Step-by-step explanation:
7 - (6x + 3)
7 - 6x - 3 = 4 - 6x
PLEASE HELP ASAP. I NEED THESE ANSWERED.
5. X to the fourth power plus the product of six and the square root of nine.
6. Fifteen plus eight cubed minus the sum of fourteen and six squared.
7. The product of three and fifteen minus nine plus the quotient of fifteen and three.
8. The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four.
Given problems;
Interpret mathematically;
5. X to the fourth power plus the product of six and the square root of nine.
X⁴ + (6 x [tex]\sqrt{9}[/tex])
X to the fourth power X⁴
Plus +
product of six 6 x
square root of nine [tex]\sqrt{9}[/tex]
6. Fifteen plus eight cubed minus the sum of fourteen and six squared.
Fifteen 15
plus eight cubed + 8³
minus -
the sum of fourteen and six squared (14 + 6²)
15 + 8³ - (14 + 6²)
7. The product of three and fifteen minus nine plus the quotient of fifteen and three.
product of three and fifteen (3 x 15)
minus nine - 9
plus the quotient of fifteen and three + ([tex]\frac{15}{3}[/tex])
(3 x 15) - 9 + ( [tex]\frac{15}{3}[/tex])
8. The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four.
The product of seventeen and y (17 x y)
plus the square root of eighty-one + [tex]\sqrt{81}[/tex]
minus the product of six and x minus four - (6 x X)
minus four -4
(17 x y) + [tex]\sqrt{81}[/tex] - (6X) - 4