What is the slope of this line?
- 2/3
2/3
1/3
- 1/3
Answer:
2/3
Step-by-step explanation:
slope =(y1-y2)/(x1-x2)
slope=(1-(-1))/(6-3)
slope =2/3
What is the output of the equations y=2x + 8 if the input is -2?
Answer:
y=4
Step-by-step explanation:
Step-by-step explanation: Input is the same as the x term.
If the input is -2, we substitute a -2 in for x.
So we have y = 2(-2) + 8 or y = -4 + 8 which is 4.
So the output or the y term is 4.
A town's population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
The percentage increase equation is:
Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100
The percentage increase = 11.97%
Step-by-step explanation:
Given
Starting Value = 376
Final Value = 421
To determine
Percentage Increase =?
The percentage increase equation:
Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100
= [(421 - 376) / (376)] × 100
= [45 / 376] × 100
= 11.97%
Therefore, the percentage increase = 11.97%
Answer:
3700 kings
Step-by-step explanation:
Michael made 19 out of 30 free-throws this basketball season. Larry's free throw average was 0.745 and Charles' was 0.81. John made 47 out of 86 free-throws. Who is the best free-throw shooter
Answer: Charles
Step-by-step explanation:
Michael made 19 out of 30 free-throws. This gives 19/30 = 0.63
Larry's free throw average was 0.745.
Charles' was 0.81.
John made 47 out of 86 free-throws. This gives 47/86 = 0.55
The best free-throw shooter was Charles
Answer:
Charles
Step-by-step explanation:
The best free-throw shooter was Charles
EASY MATH!!! LOTS OF POINTS!!! WILL MARK BRAINLIEST!!!
The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what angle upstream should the boat head to travel due west?
A. 21.80°
B. 23.58°
C. 66.42°
D. 68.20°
Answer:
23.58
Step-by-step explanation:
Solve for x x-5=-7
X=-2
X=-5
X=-1
X=-3
Answer:
X=-2
Step-by-step explanation:
x-5=-7
x-5+5=-7+5
X=-2
Can the sides of a triangle have lengths 1, 5, and 5?
Yes or no?
Answer:
Yes it can have the lengths 1, 5 and 5
Charmaine must choose a number between 49 and 95 that is a multiple of 4, 8, and 12. Write all the numbers that she could choose.
Estimate the sum or difference for 5/6 + 7 6/7.
Answer:
8 29/42
Step-by-step explanation:
5/6 + 7 6/7 = 35/42 + 7 36/42 = 7 71/42 = 8 29/42
I GIVE BRAINLIEST
Point A is located in which quadrant?
Answer:
II
Step-by-step explanation:
Quadrant I is +x + y
Quadrant II is -x + y
Quadrant III is -x - y
Quadrant IV is +x -y
x is 4 more than two - thrice of y
Answer: x = 2/3y + 4
Hope it helped u,
pls mark as the brainliest
^v^
Find the equation of the line shown.
Can someone help me please
Answer:
y= -2x + 9
Step-by-step explanation:
I got 2x because you use rise over run. As you can see in the image, the slope goes up two and to the left one ( 2x). It's plus 9 because that where it intersects the 9 on the y-intercept. The slope is negative because the line is going down from left to right ( always read it from left to right).
I hope this helps. I'm not that great at explaining so....:)
Answer:
2x+y-9=0
Step-by-step explanation:
let's take two co ordinates
(X1,y1)=(4,1)
(X2,y2)=(3,3)
Equation using two point :
(y-y1)/(y2-y1)=(x-x1)/(x2-x1)
plug in the values,(y-1)/(3-1)=(x-4)/(3-4)
(y-1)/2=(x-4)/-1
-1*(y-1)=(x-4)*2
-y+1=2x-8
0=2x+y-9
2x+y-9=0
There are 65 children in the sixth grade.There are 5 more boys than girls.
a.how many girls are in the class
b.what is the ratio of boys to girls.
c.If 5 more girls joined the class what is the ratio of boys to girls now?
HURRY
A line passes through the points (-1, 4) and (3, 6). A second line passes through the points (-1, 8) and (3, 2). At what point do the two lines intersect?
Answer:
its 6
Step-by-step explanation:
6
7
Write a 6-digit numeral
that has
7 in the hundredths place,
5 in the thousands place,
4 in the hundreds place,
and o in all other places.
7a. Write the number.
7b. Write in word form.
7c. Write in expanded form.
7d. Write as a fraction.
Step-by-step explanation:
Let's use the number Zero as a placeholder.
7 in the hundredths place,
0.07
5 in the thousands place,
5000.07
4 in the hundreds place,
5400.07
7a. Write the number.
5400.07
7b. Write in word form.
Five thousand four hundred and seven hundredth
7c. Write in expanded form.
5000 + 400 + 0.07
7d. Write as a fraction.
540007 / 100
In a large population, very close to 25% of the observations will fall below the
25th percentile (Q1), and close to 75% fall below the 75th percentile (Q3). The
Web site of the Educational Testing Service reports that on the SAT
Mathematics test, with a possible perfect score of 800, the 96th percentile of
1,475,623 scores nationwide is a score of 720.
What is the best estimate of exactly how many scores were below 720?
A. 84
ооо
B. 1,417,000
C. 557
D. 80%
оо
E. 192,000
PREVIOUS
Answer:
1,417,000
Step-by-step explanation:
Given that:
Score = 1,475,623
96% of nationwide
96% of score gives the best estimate of the number of scores below 720
0.96 * 1475623
= 1416598.08
The best estimate is 1,417,000
The rectangle below has an area of 30k3 + 6k2.
The width of the rectangle is equal to the greatest common
monomial factor of 30k3 and 6k2.
What is the length and width of the rectangle?
9514 1404 393
Answer:
length: (5k +1)width: 6k^2Step-by-step explanation:
The GCF of the two terms is the second term: 6k^2. When that is factored out, you have ...
area = (6k^2)(5k +1)
According to the problem statement, this is interpreted as ...
width: 6k^2
length: 5k+1
Please answer this correctly without making mistakes
Answer:
63 gallons
Step-by-step explanation:
3 gallons = 4x 3 = 12 quarts
12+2 = 14
14 x 18 = 252 quarts
252 / 4 = 63 gallons
The acceleration, in meters per second per second, of a race car is modeled by A(t)=t^3−15/2t^2+12t+10, where t is measured in seconds. What is the car’s maximum acceleration on the time interval 0≤t≤6 ?
Answer:
The maximum acceleration over that interval is [tex]A(6) = 28[/tex].
Step-by-step explanation:
The acceleration of this car is modelled as a function of the variable [tex]t[/tex].
Notice that the interval of interest [tex]0 \le t \le 6[/tex] is closed on both ends. In other words, this interval includes both endpoints: [tex]t = 0[/tex] and [tex]t= 6[/tex]. Over this interval, the value of [tex]A(t)[/tex] might be maximized when [tex]t[/tex] is at the following:
One of the two endpoints of this interval, where [tex]t = 0[/tex] or [tex]t = 6[/tex].A local maximum of [tex]A(t)[/tex], where [tex]A^\prime(t) = 0[/tex] (first derivative of [tex]A(t)\![/tex] is zero) and [tex]A^{\prime\prime}(t) <0[/tex] (second derivative of [tex]\! A(t)[/tex] is smaller than zero.)Start by calculating the value of [tex]A(t)[/tex] at the two endpoints:
[tex]A(0) = 10[/tex].[tex]A(6) = 28[/tex].Apply the power rule to find the first and second derivatives of [tex]A(t)[/tex]:
[tex]\begin{aligned} A^{\prime}(t) &= 3\, t^{2} - 15\, t + 12 \\ &= 3\, (t - 1) \, (t + 4)\end{aligned}[/tex].
[tex]\displaystyle A^{\prime\prime}(t) = 6\, t - 15[/tex].
Notice that both [tex]t = 1[/tex] and [tex]t = 4[/tex] are first derivatives of [tex]A^{\prime}(t)[/tex] over the interval [tex]0 \le t \le 6[/tex].
However, among these two zeros, only [tex]t = 1\![/tex] ensures that the second derivative [tex]A^{\prime\prime}(t)[/tex] is smaller than zero (that is: [tex]A^{\prime\prime}(1) < 0[/tex].) If the second derivative [tex]A^{\prime\prime}(t)\![/tex] is non-negative, that zero of [tex]A^{\prime}(t)[/tex] would either be an inflection point (if[tex]A^{\prime\prime}(t) = 0[/tex]) or a local minimum (if [tex]A^{\prime\prime}(t) > 0[/tex].)
Therefore [tex]\! t = 1[/tex] would be the only local maximum over the interval [tex]0 \le t \le 6\![/tex].
Calculate the value of [tex]A(t)[/tex] at this local maximum:
[tex]A(1) = 15.5[/tex].Compare these three possible maximum values of [tex]A(t)[/tex] over the interval [tex]0 \le t \le 6[/tex]. Apparently, [tex]t = 6[/tex] would maximize the value of [tex]A(t)\![/tex]. That is: [tex]A(6) = 28[/tex] gives the maximum value of [tex]\! A(t)[/tex] over the interval [tex]0 \le t \le 6\![/tex].
However, note that the maximum over this interval exists because [tex]t = 6\![/tex] is indeed part of the [tex]0 \le t \le 6[/tex] interval. For example, the same [tex]A(t)[/tex] would have no maximum over the interval [tex]0 \le t < 6[/tex] (which does not include [tex]t = 6[/tex].)
the maximum slope for a hand propelled wheelchair ramp should be a 1 inch rise to every 12 inches of blank. What is the maximum ramp angle recommended to the nearest degree?
9514 1404 393
Answer:
5°
Step-by-step explanation:
The angle for 12 inches of ramp length and the angle for 12 inches of run are very similar. Both are near 4.8°, so are 5° when rounded.
If we say 12 inches of run, then the tangent relation applies.
Tan = Opposite/Adjacent
tan(α) = (1 in)/(12 in)
α = arctan(1/12) ≈ 4.764°
The maximum angle is about 5°.
Help out pls need help on this question
Answer:
[tex]\huge\boxed{\sf Option \ 4}[/tex]
Step-by-step explanation:
y = The total cost
x = The number of movie tickets.
So, The equation that represents the function is:
y = 10.25 x
This shows that the total cost is equal to the cost of 1 ticket multiplied by the no. of tickets.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Are carnivores consumers
Answer:
Yes, herbivores, carnivores, and omnivores are consumers.
Hope this helps :)
Answer:
yes it is yes here's your answer for the emanation use search hope it works
What is the value of the expression 4+(-2)
-3+3
Answer:
The answer is 2
Step-by-step explanation:
Addition is considered first before subtraction
So 4+(-2) and -3+3 are considered separately and later their results are added
(2+0=2)
Help ASAP!!! What’s the value of x
Answer:
x=8
Step-by-step explanation:
∠B=∠A
Base Angle Thm/ Def. of Iso.
72=9x
x=8
At the grocery store, Mr. Arnett allowed
median of 57,75,40,34,45,60,45,44\
Answer:
the median is 45
Step-by-step explanation:
The computation of the median is as follows:
First arrange in a sequential order
34, 50, 44, 45, 45, 60, 57, 75
Now as we can see that there are 8 numbers
= n ÷ 2
= 8 ÷ 2
= 4 number
= 45
Hence, the median is 45
The same is relevant and considered too
Question #7
Revisit
The average age of three people, A, B and C is 32 years. If 2 more people, D and E are
included, the five people's average age becomes 34 years. What is D and E's average age?
Answer:
ytviykgti
Step-by-step explanation:
The equation below expresses the approximate
height h, in meters, of a ball t seconds after it is
launched vertically upward from the ground.
h(t) = –16t2 + 25t. At how many different times will the ball be 7 ft. High?
Answer:
The ball will be the 7 ft high at 2 different times.
Step-by-step explanation:
The height in meters of the ball is given by the following equation:
[tex]h(t) = -16t^2 + 25t[/tex]
7 feet high
The height, by the equation, is given in meters, so we have to work in meters. Since each feet has 0,3048 meters, 7 feet have have 2.1336 meters. So, we have to solve the following equation
[tex]2,1336 = -16t^2 + 25t[/tex]
[tex]16t^2 - 25t + 2,1336 = 0[/tex]
At how many different times will the ball be 7 ft. High?
We have to find the number of solutions for the equation above.
It is given according to the value of [tex]\Delta = b^2 - 4ac[/tex]. If it is positive, there are two solutions, zero one solution and negative no solutions.
In this equation [tex]a = 16, b = -25, c = 2.1336[/tex]. So
[tex]\Delta = b^2 - 4ac = (-25)^2 - 4*16*2.1336 = 488[/tex]
Since the coefficient is positive, the ball will be the 7 ft high at 2 different times.
Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) x1 2x2 8x3
Answer:
Infinitely solution exists,
Required solution is, [tex](x_1,x_2,x_3)=(0, 4(1-t),t)[/tex]
Step-by-step explanation:
We have the given equations:
[tex]x_1+2x_2+8x_3=8[/tex]
[tex]x_1+x_2+4x_3=4[/tex]
Here, the augmented matrix is :
[tex]\left[\begin{matrix}1&2&8&8\\1&1&4&4\end{matrix}\right][/tex]
Now, find the echelon form of the augmented matrix.
[tex]=\left[\begin{matrix}1&2&8&8\\0&-1&-4&-4\end{matrix}\right]^{R_1\rightarrow R_2-R_1}[/tex]
[tex]=\left[\begin{matrix}1&0&0&0\\0&-1&-4&-4\end{matrix}\right]^{R_1\rightarrow R_1+2R_2}[/tex]
Therefore, [tex]x_1=0[/tex]
[tex]-x_2-4x_3=-4[/tex]
[tex]\Rightarrow x_2=4(1-x_3)[/tex]
Let [tex]x_3=t[/tex], then the required solution is
[tex](x_1,x_2,x_3)=(0, 4(1-t),t)[/tex]
Simplify the expression: 2(2 + g) =
Answer:
4 + 2g
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2(2 + g)
Step 2: Expand
Distribute 2: 2(2) + 2(g)Multiply: 4 + 2g