Answer:
Exponential
Step-by-step explanation:
The change isn't constant for the volume, so it must be exponential.
Using quadratic regression, the equation is:
[tex]y=\frac{19}{63}x^{2}-\frac{968}{105}x+\frac{3312}{35}[/tex]
Answer:
I agree it's exponential, but it's so much simpler than you guys make it out to be. An easy way to check is to measure the distance in the x and y values to see if they change at a constant rate.
for instance; 1) abs(0-3) =3 95-69= 26
2) abs(3-6) = 3 59-50= 19 ...
It's easier, faster, and less to memorize
solve for −4.2y+2.1>−2.52
Answer:
y < 1.1
Step-by-step explanation:
Step 1: Subtract 2.1 from both sides
-4.2y + 2.1 - 2.1 > -2.52 - 2.1
-4.2y > -4.62
Step 2: Divide both sides by -4.2
-4.2y / -4.2 > -4.62 / -4.2
Since you divided by a negative, that flips the sign.
y < 1.1
Answer: y < 1.1
Answer: Y < 1.1
Step-by-step explanation: I took the quiz, i hope this helps! :)
-6y= -20 + 2x
2x – 4y=0
Solve by elimination
Answer:
[tex]x=5\\\\y=2[/tex]
Step-by-step explanation:
Given Equations:
[tex]-6y= -20 + 2x[/tex] Equation:1
Solving Equation:1 Adding '[tex]6y[/tex]' to both the sides:
[tex]2x+6y-20=0[/tex]
Adding '20' both the sides:
[tex]2x+6y=20[/tex] Equation:2
[tex]2x - 4y=0\\[/tex] Equation:3
Subtracting Equation:3 From Equation:2
[tex]2x+6y-(2x-4y)=20-0\\\\2x+6y-2x+4y=20\\\\10y=20\\\\y=\frac{20}{10}\\\\ y=2[/tex]
Putting the value of 'y' in equation:3
[tex]2x - 4y=0\\[/tex]
[tex]2x-4(2)=0\\\\2x-8=0[/tex]
Adding '8' to both the sides
[tex]2x=8\\\\x=8/2\\\\x=5[/tex]
SO,
[tex]x=5\\\\y=2[/tex]
What is the area of the trapezoid?
110 square inches
32 square inches
140 square inches
80 square inches
From the picture below, what is the measure of GC?
The measure of arc GC is 90°
Solution:
Given data:
m∠CHD = 90°
Sum of the adjacent angles in a straight line = 180°
⇒ m∠GHC + m∠CHD = 180°
⇒ m∠GHC + 90° = 180°
Subtract 90° from both sides, we get
⇒ m∠GHC = 90°
The angle measure of the central angle is equal to the measure of the intercepted arc.
[tex]m\angle GHD = m (ar \ GC)[/tex]
90° = m(ar GC)
Switch the sides.
m(ar GC) = 90°
The measure of arc GC is 90°.
Rosario sells bicycle wheels in packages of 2. If a store order 46 wheels.How many packages will she send?
Step-by-step explanation:
i hope this helps
A carpenter needs 3 minutes to cut a board into 5 equal sections. If each cut takes the same length of time, at what rate is the carpenter cutting?
Answer:
3/180= 60 seconds = 1m/per cut or 60 sec/per cut.
Step-by-step explanation:
This is 3 cuts executed from a board to get 5 parts.
Answer:
he cuts 1.6 section of a board in one minute
Step-by-step explanation:
They're telling you that it takes 3 minutes for the carpenter to cut one board into 5 qual section. Therfore how many sections he's cutting in one minute divide the 5 by three. With that you will have the rate
expression related to -1/3(6x+15)-3
Answer:
x = -4 and -2x - 8
Step-by-step explanation:
Step 1: Distribute
-1/3(6x + 15) - 3
-6/3x - 15/3 - 3
-2x - 5 - 3
-2x - 8
Step 2: IF NEEDED SOLVE FOR X
-2x - 8 + 8 = 0 + 8
-2x / -2 = 8 / -2
x = -4
Answer: x = -4 and -2x - 8
Match each measurement with the appropriate number.
1. kilo. a. 2000
2. 1 ton. b. 1760
3. 1 mile. c. 1000
In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 15.6 and 32.4 and why?
Answer:
About 95% of data lies between 15.6 and 32.4
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 2.4
Standard Deviation, σ = 4.2
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.About 68% of data lies within one standard deviation from the mean.About 95% of data lies within two standard deviations of the mean.About 99.7% of data lies within three standard deviation of the mean.We have to find the percentage of data lying between 15.6 and 32.4
[tex]15.6 = 24 - 2(4.2) = \mu - 2\sigma\\32.4 = 24 + 2(4.2) = \mu + 2\sigma[/tex]
Thus, we have to find the percentage of data lying within two standard deviations of the mean. By Empirical formula about 95% of data lies between 15.6 and 32.4
f(x) = 3x
g(x) = -3x + 6
Answer:
f(0) = 3x
g(-2) = 3x + 6
Step-by-step explanation:
f(x) = 3x
3x = 0
x= 0/3
x = 0
g(x) = 3x+6
3x+6= 0
3x= -6
x= -6/3
x = -2
word puzzle!!!!
Karen's friends want to buy her a wedding gift. Originally ten friends were going to chip in equally, but then two or them dropped out. Each of the remaining eight friends had to chip in another dollar to bring the total back up to the original amount. How much money did they plan to collect?
Answer:
$4
Step-by-step explanation:
10x = 8(x+1)
2x = 8
x = 4
Answer:
40 dollars
Step-by-step explanation:
We can say
x=amount each friend has to pay
Then, the price of the gift would be 10x because there are 10 friends and each pays x dollars. But since two friends dropped out, it will now become 8x. Also, each of the 8 friends has to pay an extra dollar to go back to the original amount, so 8x+8 is also the price of the gift. We set these two expressions equal to each other (because they both represent the price of the gift) so
10x=8x+8. Using the subtraction property of equality (which says if a=b, then a-c=b-c) we subtract 8x from both sides to get
2x=8. Using the division property of equality (which says if a=b, then a/c=b/c) we divide by 2 on both sides to get x=4. But the question asked how much money they planned to collect, or what was the price of the gift, which is 10x, 10*4=40, 40 dollars.
How should the decimal point in 34.05 be moved to determine the product 34.05 × 10 to the power of 6?
Enter your answers in the boxes to correctly complete this statement.
The decimal point should be moved __ places to the right because there are __ zeros in 10 to the power of 6
Answer:
The decimal point should be moved Six places to the right side because there are Six zeros in 10 to the power of 6.
Step-by-step explanation:
As we have to represent the number in the form of [tex]10^{6}[/tex] we need to move the decimal Six places towards left because there are Six zeros in [tex]10^{6}[/tex] i.e. 1000000. For this purpose we will add four zeros to the left of the number.
So the number in the format mentioned in question will look like -
0.00003405 × [tex]10^{6}[/tex].
Simplify expression
8n+4-6n/2
Step-by-step explanation:
8n+4-6n/2
8n+4-3n
5n+4
Answer:
n+2
Step-by-step explanation:
to simplify this expression 8n+4-6n/2
we have,
{8n-6n + 4}/2
{2n + 4}/2
to further simplify this expression {2n + 4}/2 , we are going to factorize 2 from the numerator ,
we have
=2(n +2)/2
the next step to simplify the 2(n +2)/2 further is to use the factorised 2 at the numerator to divide the 2 at the denominator so that we can have a simplified expression.
we have
=2(n +2)/2
=n+2
therefore the simplified form of the expression 8n+4-6n/2 is n+2
Is the product of three negative numbers positive or negative?
Answer:
yup, its positive
two times cancels out, but then the third time made it negative again
30 POINTS FOR ANSWER!!
2 numbers sum 120 and product 400
INSTANT ANSWER NEEDED
Answer:
2X+20 = 400
The graph of the function passes through the point (2, 1), and y increases by 4
when x increases by 1.
Answer:
[tex]y=4x-7[/tex]
The graph in the attached figure
Step-by-step explanation:
In this problem I will assume the the function is linear
we have the point (2,1)
we know that
y increases by 4 when x increases by 1
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
The slope of the linear function is
[tex]m=\frac{4}{1}[/tex]
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
substitute
[tex]y-1=4(x-2)[/tex]
Convert to slope intercept form
Isolate the variable y
[tex]y-1=4x-8\\y=4x-8+1\\y=4x-7[/tex]
see the attached figure to better understand the problem
The question pertains to the characteristics of a linear function whose graph passes through the point (2, 1) with a slope of +4, indicating an increase of 4 in y for every increase of 1 in x. The line's positive slope suggests the graph rises as the x-value increases. The equation of the line is y=4x-7.
Explanation:The student is asking a question about the characteristics of a linear function based on its graph. Specifically, since the graph passes through the point (2, 1) and the value of y increases by 4 when x increases by 1, we can conclude that the slope of the line is +4. This is because the slope of a line represents the change in y divided by the change in x. Given that the slope is positive, this line will show an upward trend on the graph as the x-value increases, much like other graphs with a positive slope.
To find the equation of the line, we start by using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. We use the point (2, 1) and the slope 4 to solve for b. The process is as follows:
1 = 4(2) + b
1 = 8 + b
b = -7
Therefore, the equation of the function is y = 4x - 7.
Triangle ABC is similar to triangle PQR. Solve for n. PLEASE HELP
Answer:
7.5
Step-by-step explanation:
5 x 3 = 15
5.5 x 3 = 16.5
Triangle PQR has 3x the amount as ABC on each side, therefore, n = 7.5
How can you determine whether a triangle is a right triangle
Answer:
if there is a right angled square shape at the angle
Answer: MARK BRAINLIEST!!!!!!!!!
Because its the only triangle that has a 90 degree angle
Step-by-step explanation:
compare 8 to the power of 0 and 8 to the power of -2. Which is greater?
Answer:
8 to the power of 0
Step-by-step explanation:
[tex]8^{0}[/tex] = 1
[tex]8^{-2}[/tex] = [tex]\frac{1}{64}[/tex]
To compare 8 to the power of 0 and 8 to the power of -2, we focus on understanding negative exponents. The answer is that 8 to the power of 0 is greater than 8 to the power of -2.
To compare 8 to the power of 0 and 8 to the power of -2, we need to understand how negative exponents work. When a power of 10 is transferred from the numerator to the denominator, the sign of the exponent changes. 8 to the power of 0 is 1 and 8 to the power of -2 is 1/64. Therefore, 8 to the power of 0 is greater than 8 to the power of -2.
X^2 + 4.7^2 = 13.4^2
Answer:
[tex]x = - \: 12.55 \: or \: x = 12.55[/tex]
Step-by-step explanation:
We want to solve for x in
[tex] {x}^{2} + 4.7^{2} = 13.4^{2} [/tex]
We group constants on the right to get:
[tex]{x}^{2} = 13.4^{2} - {4.7}^{2} [/tex]
We apply difference of two squares
[tex]{x}^{2} = (13.4 - {4.7})(13.4 + 4.7)[/tex]
[tex] {x}^{2} = 157.47[/tex]
[tex]x = \pm \sqrt{157.47} [/tex]
[tex]x = \pm \: 12.55[/tex]
Find the product.
(2x+3)(2x-3)
A. 4x2 - 9
B. 4x2 +9
C. 4x2 –5x+9
D. 4x2 - 5x-9
Answer:
A. 4x^2 - 9
Step-by-step explanation:
2x * 2x = 4x^2
2x * -3 = -6x
3 * 2x = 6x
-3 * 3 = -9
-6x + 6x = 0, so we're left with 4x^2 - 9
Answer:
B. (2x − 3)(2x + 3)(4x2 + 9)
Step-by-step explanation:
How do you find the slop from this?
Answer:
Look at the rise over run
itd be 10/10 or 1
Find the slope (or rate of change) from this graph. Write out an equation to find the slope
Answer:
slope = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line
m = [tex]\frac{-1+3}{0+5}[/tex] = [tex]\frac{2}{5}[/tex]
find the number and type of solutions then factor and solve
4b^2+8b+7=4
20 points and brainliest
Answer:
-1/2, -3/2
Step-by-step explanation:
4b² + 8b + 3 = 0
8² - 4(4)(3) = 16 > 0
Real and distinct solutions
4b² + 6b + 2b + 3 = 0
2b(2b + 3) + 1(2b + 3) = 0
(2b + 3)(2b + 1) = 0
b = -1/2, -3/2
What is the product of the polynomials below?
(6x2-3x-6)(4x2 +5x+4)
Answer:
24x^4+18x^3-15x^2 -42x-24
Step-by-step explanation:
(6x^2-3x-6)(4x^2 +5x+4)=
6x^2*4x^2 +6x^2*5x+6x^2*4
-3x*4x^2 - 3x*5x-3x*4
- 6*4x^2 -6*5x-6*4=
24x^4+30x^3+24x^2-12x^3-15x^2 -12x
-24x^2-30x-24=
24x^4+18x^3-15x^2 -42x-24
A band director needs to purchase new uniforms. The ratio of small to medium to large uniforms is 3:4:6. If there are a total of 260 uniforms to purchase, how many will be small?
Answer:
60
Step-by-step explanation:
3:4:6
Add:
3+4+6=13
3:4:6=13
?:?:?=260
Divide:
260/13=20
Multiply 3 and 20:
60
SO there are 60 small uniforms
Translate this sentence into an equation.
33 is the product of Rick's age and 3
Use the variable r to represent Rick's age.
Answer:
r=11
Step-by-step explanation:
3x11=33
so therefore r=11
Describe the transformation.
Answer:
Reflection
Step-by-step explanation:
It is reflecting across the Y axis. It is not a dialation, since it is the same shape, but not a different size. Its not rotation, because it wasnt rotated to get to the new shape. And it is not translation, because it is not exactly the same shape (the shape was mirrored)
solve for z
-p(d+z)=-2z+59
Answer:z=(pd+59)/(2-p)
Step-by-step explanation:
-p(d+z)=-2z+59
Open bracket
-pd-pz=-2z+59
Collect like terms
2z-pz=pd+59
Factor out z
z(2-p)=pd+59
Divide both sides by (2-p)
z(2-p)/(2-p)=(pd+59)/(2-p)
z=(pd+59)/(2-p)
Point M is located at (10, 10) and point N is located at (15, 25).
Which point lies on line MN?
(A) (0, 0)
B (11, 13)
C (13, 13)
D (20, 20)
Answer:
That is easy, the answer is B.
Step-by-step explanation:
First you have to graph the points of M and N and then you have to draw a line through the points of M and N and then graph the other points and whichever falls on the M,N line is the answer. So therefor the answer is B, (11,13)
Answer:
B?
Step-by-step explanation: