Step 1: Find the Slope
Parallel lines have the same slope, therefore the slope of our new line is also -7.
Step 2: Find the Y-Intercept
Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.
Slope-Intercept Form: y = mx + b
Slope = -7
Point = (0, 4)
4 = -7(0) + b
b = 4
Step 3: Form the Equation of the Line
Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.
Slope-Intercept Form: y = mx + b
m = -7
b = 4
Equation of the New Line: y = -7x + 4
Answer: y = -7x + 4
Hope this helps!
Answer:
y = -7x + 4
Step-by-step explanation:
Given
point = (0, 4)parallel to y = -7x + 1Solving
Slope of new line is also -7y - 4 = -7(x - 0)y - 4 = -7xy = -7x + 4Jen and her friends would like a curved pit to be included in next year’s obstacle course. they found this equation to model their suggested curved pit using a computer simulation. in the equation, y is the depth of the pit in relation to the surface of the course, and x is the horizontal distance from the left edge of the entire obstacle course. both distances are in feet. y = 0.75x^2 − 13.5x + 57.75 select the correct answer from each drop-down menu. a robot traveling along the surface of the curved pit reaches a (maximum, minimum, or contrast) depth of (-3, -9, 4, or -7) feet
Considering the vertex of the quadratic function, it is found that:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is given by:
y = 0.75x² - 13.5x + 57.75.
Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.
Thus, the minimum value is given by:
[tex]y_v = -\frac{(-13.5)^2 - 4(0.5)(57.75)}{4(0.75)} = -22.25[/tex]
Thus:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
Name a number that is a factor of 20 and 18 but a multiple of 2.
Use the quadratic equation y = –2x^2 + 4x +5 to complete the statements.
Answer:
x=2.87083
Step-by-step explanation:
y = –2x^2 + 4x +5
ax^2 + bx + c = 0
a= -2
b= 4
c= 5
Quadratic formula: x= -b±√b^2-4ac over 2a
1. plug in the numbers
2. x= -4 ± √4^2 -4(-2)(5) over 2(-2)
3. x= -4 ± √16+40 over -4
4. x= -4 ± √56 over -4
next simplify ratidal
x= -4 ± √2·2·2·7 over -4
x= -4 ± 2√2·7 over -4
x= -4 ± 2√14 over -4
divide both sives over four
x= -4 over -4 ± 2√14 over -4
x= -1 over -1 ± √14 over -2
answer:
x=2.87083
A committee is to consist of two members. If there are seven people available to serve on the committee, how many different committees can be formed?
Find the MEDIAN of his test scores.
Last semester, Mike got the following classwork grades in Math.
45, 54, 72, 89, 100, 26, 34, 100 , 92, 85, 76
Answer:
76
Step-by-step explanation:
The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.
Write a problem that represents the addition model shown above. Don't solve the problem.
15 points and Brainliest
how many degrees is 17/9 of a semicircle
Answer:
340°
Step-by-step explanation:
To convert radians to degrees, multiply by [tex]\frac{180}{\pi }[/tex] since a full circle is 360° or
2[tex]\pi[/tex] radians.
[tex](\frac{17}{\pi } )[/tex] x [tex]\frac{180}{\pi }[/tex]
Factor [tex]\pi[/tex] out 0f 17[tex]\pi[/tex]
[tex]\frac{\pi (17)}{9}[/tex] x [tex]\frac{180}{\pi }[/tex]
Cancel the common factor "[tex]\pi[/tex]"
Rewrite the expression as:
[tex]\frac{17}{9}[/tex] x 180
Factor 9 out of 180.
[tex]\frac{17}{9}[/tex] x(9(20))
Cancel out the common factor "9"
Rewrite the expression as:
17 x 20
=340°
Pearl drives 4 miles to work each day. How many yards and feet does she drive to work each day?
Answer:
21120 Feet
6.437376 Kilometer
Step-by-step explanation:
Looked it up
Answer:
7040 yd and 21120 ft
Step-by-step explanation:
1 mile = 1760 yards
1 yard = 3 feet
4*1760=7040 yards per day
7040*3=21120 feet per day
Complete the following sentence with the best phrase. A small P-value means:
A. The data provide strong evidence in favor of the null hypothesis
B. The data provide no evdence in favor of either hypothesis
C. The data provide little evidence in favor of the alternative hypothesis
D. The data provide strong evidence in favor of the alternative hypothesis
Answer:
d
Step-by-step explanation:
HELP PLEASEE !!! Only correct answers and please no links
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
© 2018 StrongMind. Created using GeoGebra.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
Both are 1/2
Step-by-step explanation:
Count just the tails, that's the numerator
Count all the heads and tails, that's the denominator.
And for the 2nd fraction:
Count just the evens, that's the numerator
Count all the even and odd numbers, that's the denominator.
Answer: The answer to this question is 3/4
Step-by-step explanation:
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by: p=9/12=3/4
The value of a motorcycle each year follows the sequence $12,000 $9,600, $7,680, $6,144
Which formula represents the recursive definition of the sequence where n represents the number of years?
The recursive definition of the geometric sequence is given by:
A. [tex]a_n = (0.8)a_{n-1}[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The basic recursive relation is given as follows:
[tex]a_n = qa_{n-1}[/tex]
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, considering the given sequence, the common ratio is given by:
[tex]q = \frac{6144}{7680} = \frac{7680}{9600} = \frac{9600}{12000} = 0.8[/tex]
Hence option A is correct.
More can be learned about geometric sequences at https://brainly.com/question/11847927
The values of the motorcycle follows a geometric sequence
The recursive definition of the sequence is (a) [tex]a_{n} = 0.8a_{n-1[/tex]
How to determine the recursive definition?The values are given as:
$12,000 $9,600, $7,680, $6,144
Calculate the common ratio using:
r = a2/a1
So, we have:
r = 9600/12000
Divide
r = 0.8
Recall that:
r = a2/a1
So, we have:
a2/a1 = 0.8
Multiply both sides by a1
a2 = 0.8a1
Rewrite as:
[tex]a_{2} = 0.8a_{2-1[/tex]
Substitute n for 2
[tex]a_{n} = 0.8a_{n-1[/tex]
Hence, the recursive definition of the sequence is (a) [tex]a_{n} = 0.8a_{n-1[/tex]
Read more about sequence at:
https://brainly.com/question/7882626
& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8
Answer:
[tex]\boxed{\sf{x=3 \quad y=4}}[/tex]Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
x+2y=11 and 4x-y=8⇒ x+2y=11
⇒ x=11-2y
Substitute.
4(11-2y)-y=8
Solve.
Distributive property:
⇒ A(B+C)=AB+AC
4(11-2y)
4*11=44
4*2=8
Rewrite the problem down.
44-9y=8
Subtract by 44 from both sides.
44-9y-44=8-44
Solve.
-9y=-36
Divide by -9 from both sides.
-9y/-9=-36/-9
Solve.
-36/-9=4
y=4
Substitute of y=4.
⇒ x=11-2*4
Use order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract11-2*4
Multiply.
2*4=8
Rewrite the problem down.
11-8
Subtract.
11-8=3
x=3
Therefore, the correct answer is x=3 and y=4.I hope this helps you! Let me know if my answer is wrong or not.
50 POINTS!
3. Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 *
1 point
30th percentile = 105 90th percentile = 200
30th percentile = 113 90th percentile = 200
30th percentile = 105 90th percentile = 176
Answer:
30th percentile = 105 90th percentile = 176
Step-by-step explanation:
Arrange the data set in order from smallest to largest:
100, 100, 105, 113, 129, 132, 146, 152, 176, 200
30th percentile
r = number of data values = 10
q = percentile = 30
q/100 = 30/100 = 0.3
q/100 × r = 0.3 × 10 = 3
Therefore, count the 3rd number in the ordered set.
⇒ 30th percentile = 105
90th percentile
r = number of data values = 10
q = percentile = 90
q/100 = 90/100 = 0.9
q/100 × r = 0.9 × 10 = 9
Therefore, count the 9th number in the ordered set.
⇒ 90th percentile = 176
30th percentile = 105, 90th percentile = 176
Explanation:
data {129, 113, 200, 100, 105, 132, 100, 176, 146, 152}
arrange in ascending order:
{100, 100, 105, 113, 129, 132, 146, 152, 176, 200}
30th percentile: 10590 th percentile: 176
pls answer i give u anything
Answer:
the first one is 0.5 inches 1.27 centimeters
the second is 0.25 inches or 0.635 centimeters
Step-by-step explanation:
A travelling wave is given by the equation y = 0.03 Sin (2.2 x - 3.5t) where y and x are in metres and t is in seconds. Find the amplitude, the wayelength, the frequency, the period and the speed of the wave.
Answer:
Amplitude 0.03m, wavelength 2.86m, frequency 0.57Hz, period 1.8s
Step-by-step explanation:
The traveling wave is described with the following equation:
[tex]y=Asin(kx-wt)[/tex]
y=0.03sin(2.2x−3.5t)
A=0.03m
λ=2π/k=2π/2.2≈2.86m
T=1/f≈1.8s
How much will be in the jar?
Answer:
option B 1 1/6amount of paint:
1/2 * 1 + 1 * 3 + 1 1/2 * 1 + 1 * 27If divide into 6 jars:
7/61 1/6[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Total jars = 6
Total cups of blue paint :
[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + (1 \times 3) + 1 \frac{1}{2} + 2[/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + 3 + \frac{3}{2} + 2[/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{1 + 6 + 3 + 4}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{14}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:7 \: cups[/tex]
So, teacher distributes all blue paint equally in each jar, then amount of paint in each jar is :
[tex]\qquad \tt \dashrightarrow \: \dfrac{7}{6} [/tex]
[tex]\qquad \tt \dashrightarrow \:1 \frac{1}{6} \: \: cups[/tex]
So, option B is correct
Easy question! First one to answer gets brainliest!
X=5+7
x=12
.................
The volume of a cone is 1,782 cubic centimeters. a cylinder has the same radius and height as the cone. what is the volume of the cylinder?
a.
3,564 cubic centimeters
b.
1,782 cubic centimeters
c.
594 cubic centimeters
d.
5,346 cubic centimeters
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
Learn more about volume of cylinder on:
https://brainly.com/question/9554871
Answer:
Step-by-step explanation:
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?
Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
Learn more about volume of cylinder on:
brainly.com/question/9554871
Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. the height of the ball can be represented by the function h(t) = −16t2 48t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds
Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.
What is the function for the ball's height?The height of the ball after t seconds is given by:
h(t) = -16t² + 48t.
It is at the ground at the instants of t for which:
h(t) = 0.
Hence:
-16t² + 48t = 0
-16t(t - 3) = 0.
We want t different of 0, hence:
t - 3 = 0 -> t = 3.
The ball traveled for 3 seconds before returning to the ground.
More can be learned about functions at https://brainly.com/question/25537936
Answer:
3 seconds is the answer
Step-by-step explanation:
For circle h, jn = 5, nk = 4, ln = 2, and nm = x. solve for x. circle h with chords jk and lm intersecting at n inside the circle 10 2.5 1.6 7
The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
What is interseting chord theorem?The interseting chord theorem states that, when two chords in a circle intersect each other, then the product of their segment is equal.
For circle h in the given problem,
[tex]JN = 5, \\NK= 4, \\LN =2[/tex],
The value of segment NM is x. The figure of the circle h is attached below. In this figure, using the interseting chord theorem the chords can be given as,
LN×NM=JN×NK
2×x=5×4
x=20/2
x=10
Thus, the value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
Learn more about the interseting chord theorem here;
https://brainly.com/question/5432495
Divide - 5/4 by 25/13
13/25
hope it helps..!!!
Four friends ran in a 5K race on Saturday. They were the top 4 finishers. Here are their race times: Craig: 25.9 minutes Charlie: 32.28 minutes Randy: 32.2 minutes Sam: 25.85 minutes Who won first place? Who won second place? Third? Fourth?
Sam first one
Craig second one
Randy third one
Charlie fourth one
From the data second is Craig, third is Randy and fourth is Charlie.
Given that, 4 persons ran a race.
Craig took 25.9 minutes
32.28 minutes took by Charlie
32.2 minutes by Randy
25.85 by Sam
To find who own second, third and fourth
Arranged the decimals in ascending order and found the answers.
By arranging in ascending order:
Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.
First is Sam = 25.85
Second is Craig = 25.9
Third is Randy = 32.2
Fourth is Charlie = 32.28
Hence, from the data second is Craig, third is Randy and fourth is Charlie.
To learn more about the comparison of decimals visit:
https://brainly.com/question/18270620.
#SPJ3
Which Expression represents the perimeter of the figure below?
А 5x+2y
B x + y +z
C 5x + 2y + 2
D (5+2 + 1)(x + y + 2)
Answer:
The C option is correct
TRUST ME
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEI'm struggling with this question, if someone could help me that'd be great! :)
Answer:
t = 3 seconds
Step-by-step explanation:
You can think of this as a quadratic and find the zeros. i will use x and y to make it easier.
y = -16x^2 + 48x
y = (x)(-16x+48)
y = (-16)(x)(x-3)
This means your zeros are at x = 0 and x-3 = 0, so 0 and 3.
0 is when the ball leaves the ground, so 3 is when it returns.
express the following rational algebraic expression to its simple form.show your solution
2. 3×-12/ 5× - 20
Question
express the following rational algebraic expression to its simple form.show your solution2. 3 × - 12 / 5 × - 20Answer
[tex]→ \frac{3 \times - 12}{5 \times - 20} \\ [/tex]
[tex] \sf \: solution→ \sf \: factor \: the \: expression \: \frac{7(a + b)}{ {a}^{2} - b } \\ [/tex]
[tex] \sf \red{ answer \: is→ \frac{9}{a - b}} \\ [/tex]
2. A baby weighs 8 pounds, 1 ounce. How much does she weigh in ounces?
Answer:
97 oz
Step-by-step explanation:
12 oz per pound
8 pounds + 1 oz
(12 · 8)+ 1
97 oz
Hope this helps!
Find the exact value of the expression sin(sin225 - 120)
Step-by-step explanation:
I use desmos . com so it's easier.
A) 1.29
B) 0.91
C) 0.97
D) 1.05
Good Luck!
IMAGE IS DOWN BELOW!!
SOMEONE PLEASE HELP ME!!
ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!
Answer:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
a and b are legs, c is the hypotenuse
[tex]9^{2}[/tex] + [tex]11^{2}[/tex] = [tex]c^{2}[/tex]
81 + 121 = [tex]c^{2}[/tex]
202 = [tex]c^{2}[/tex] ( square root each side [tex]\sqrt{202}[/tex]
14.2126704036 = c
c = 14.2
Prove triangle ABC is congruent to triangle DEF.
Answer:
Step-by-step explanation:
Rotate triangle DEF 90° and translate it up 1 point, and left 2 points.
Choose the line plot that correctly shows this data about the growth of bean plants:
1/2,3/4,1/2,1/4,1/2,1/4,3/4,3/4,1/2
Answer:
It is the first one
Step-by-step explanation:
Hi, it is the first one because there is 4 - 1/2 3 - 3/4 and 2 - 1/4