Step-by-step explanation:
d=√(x2-x1)²+(y2-y1)²
d=√(-1+-7)²+(1+6)²
d=√(-8)²+(7)²
d=√64+49
d==√113
d=10.6
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line
through the two points. Which equation represents Nolan's line?
O y = 2x + 1
O y = 2x +3
O y = ax + 2
O y = 3x + 5
Answer:
O y = 2x + 3
Step-by-step explanation:
if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g
Answer:
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
Step-by-step explanation:
We are given the following functions:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = x - 4[/tex]
Which value is equivalent to f x g?
We multiply these functions, applying the distributive property. So
[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
How many total possible outcomes are there on a standard 6 sided die?
Answer:
6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)
Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
ANSWERRRRRRRRRRRRRRRRRRRR PLZZZZZZZZZZZZZZzz
Answer:
-1/3
Step-by-step explanation:
Find two points on the line (0,2) and (3,1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (1-2)/(3-0)
= -1/3
Answer:
A
Step-by-step explanation:
1) take two points of the line
A(0,2) ; B(3,1)
2) use this formula for find the slope
(y2-y1)/(x2-x1)
(1-2)/(3-0)
slope = -1/3
3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point
Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
On comparing this equation to the slope intercept form y = mx + c ,=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
Now the line passes through (-1,2 ) . so on using point slope form , we get ,=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
• Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .Joe drove 80 kilometers per hour for 4 hours. How far did he go?
Step-by-step explanation:
velocity = distance/time taken
distance=velocity ×time taken
distance=80×4
distance=320kilometers
please help school is literally about to end
Answer:
192 is the answer
Step-by-step explanation:
Answer:
SA = 272 sq in
Step-by-step explanation:
SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)
= 2(16) + 2(96) + 2(24)
= 32 + 192 + 48
= 272 sq in
Evaluate m) (x) for x = -3.
=
I
m (-3) =
Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...
Answer:
14x-9
Step-by-step explanation:
The U.S. federal government conducts a survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question; that fifty percent is a: Question 2 options: parameter statistic variable data
Answer:
statistic
Step-by-step explanation:
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
The answer is 15 ounces
Step-by-step explanation:
33/4 ÷ 4 pounds.
(4 × 3 + 3)/4 ÷ 4 pounds.
15/4 ÷ 4 pounds.
15/4 × 1/4 pounds.
15/16 pounds.
Now we know that, 1 pound = 16 ounces.
So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.
Thus, The answer is 15 ounces
Select the correct answer from each drop-down menu
3353 8. A survey showed that 1/3 of the students in the class liked blue 1/4 of the remainder liked red. The remaining 24 students liked yellow. How many students were in the class?
Answer: there are 48 students in the class
Step-by-step explanation:
let x = the total number of students in the class
1 - 1/3 = 2/3
1/4 * 2/3 = 2/12 = 1/6
1/3x + 1/6x + 24 = x
2/6x + 1/6x + 24 = x
3/6x + 24 = x
1/2x + 24 = x
24 = x - 1/2x
24 = 1/2x
24 * 2 = x
x = 48
there are 48 students in the class
I can believe my teachers think i can do this
Answer:
Is that actually your hw-?
Step-by-step explanation:
Answer:
Well dang
Step-by-step explanation:
how do you find the answer?5y+8=-6
Answer:
Step-by-step explanation:
5y+8=-6
-8
5y=-14/5
y=-2.8
Answer:
y = - 2.8
[tex]y=-2\frac{4}{5}[/tex]
Step-by-step explanation:
5y + 8 = - 6
5y + 8 - 8 = - 6 - 8
5y = - 14
5y ÷ 5 = - 14 ÷ 5
y = - 2.8
I need help finding the intercept , slope and equation please help!
Answer:
Step-by-step explanation:
if they are saying approximately then y = 3 for the y intercept, and
the slope, m , is 3/4 ( rise / run)
then the equation for this line is
y = [tex]\frac{3}{4}[/tex] * x + 3
y = 3x/4 + 3
Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).
Answer:
Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle
Step-by-step explanation:
thank you
Kind of easy giving alot points to anyone who knows
Answer:
5 hours
Step-by-step explanation:
each pack of sugar free gum at a store cost $0.89 including tax if Evan pays $10.00 and receives $0.21 in change how many packs of gum did he buy
Answer:
12
Step-by-step explanation:
Can someone help me please
Answer:
It's 2/15
Step-by-step explanation:
Write the function for the graph.
(1,12)
(0,3)
O A. f(x) = 3•(12)^x
O B. f(x) = 4•(3)^x
O C. f(x) = 3•(4)^x
D. f(x) = 4•(12)^x
Answer:
[tex]f(x) =3 * (4)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1, y_1) = (1,12)[/tex]
[tex](x_2, y_2) = (0,3)[/tex]
Required
The function of the graph (exponential function)
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
For [tex](x_1, y_1) = (1,12)[/tex], we have:
[tex]12 = a * b^1[/tex]
[tex]12 = a * b[/tex]
[tex]12 = a b[/tex]
For [tex](x_2, y_2) = (0,3)[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Substitute: [tex]a = 3[/tex] in [tex]12 = a b[/tex]
[tex]12 = 3 * b[/tex]
Divide both sides by 3
[tex]4 = b[/tex]
[tex]b =4[/tex]
So, we have:
[tex]f(x) = ab^x[/tex]
[tex]f(x) =3 * (4)^x[/tex]
IVE BEEN ASKING FOR AN HOUR PLEASE HELP!! PLEASE ANYONE!! solve for x
Answer:
[tex]\sqrt{3}[/tex] sqrt(3)
Step-by-step explanation:
Pythagroean theorem shows that x^2+sqrt(2)^2=sqrt(5)^2
In other words,
x^2+2=5
x^2=3
x=sqrt(3)
The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?
NO LINKS PLSSSS
Answer:
the weight of the bar is 130 pounds
Answer: realsies
Step-by-step explanation: w manz
please help. NO LINKS.
Answer:
the answer is A
y= 1.9x + 69
y=6x
The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set
Answer: Your question has some missing data attached below is the missing data
Answer : Mean value is Greater
Step-by-step explanation:
The relative value of the mean for original data set is greater
Relative value of median for original data set is lesser
This is simply because the The distribution is generally skewed to the right ( Right skewed )
Is this correct? the question is asking if the triangle would have a right, acute, or obtuse angle.
Answer:
Acute
Step-by-step explanation:
All triangles have to have a acute or it would be to big
Answer:
yes it is because its a triangle and its acute
An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method
9514 1404 393
Answer:
$1.74
Step-by-step explanation:
The ratio of the increase to this year's wage is ...
12%/112% = x/$16.24
Multiplying by $16.24, we have ...
x = $16.24(12/112) = $1.74
The dollar amount of the wage increase is $1.74.
1+2+3+4+5+6+7+8+9+10=
im bor*ed...pls ch*at with me???
Someone please help me!!
For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.
Multiply both sides by 12 to get 2y - 1 = 7
Answer:
The first choice
Step-by-step explanation:
Multiplyil by 6 to get 4y - 1 =21