Answer:
Costs are changing at the rate of $588 per month at this production level.
Step-by-step explanation:
From the question, we have:
C = 0.3X^2 + 8,000 ........................ (1)
Differentiating equation (1) with respect to time, t, we have:
dC/dt = (0.3 * 2) X (dX/dt)....................... (2)
Where;
X = 70
dX/dt = 14
Substituting this into equation (2), we have:
dC/dt = (0.3 * 2) * 70 * 14
dC/dt = 588
This implies that costs are changing at the rate of $588 per month at this production level.
3x-8y=-2 and 14x+8y=36
Answer:
X=2
Y=1
Step-by-step explanation:
........... Solution on the photo above
Can someone help pls !
Answer:
(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
Step-by-step explanation:
12x - 13y = 7
17x - 22y = - 51
A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]
[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]
[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
Given f(x) = 2x2 – 3x + 7, find f(2.5)
Answer:
f(2.5)=3.5
Step-by-step explanation:
f(x)=2×2-3x+7
So,
f(2.5)=2×2-3×2.5+7
=4-7.5+7
=11-7.5
=3.5
Hope it will help you
Find f(-2)for f(x)-3 . 2^x
Can you help me with this math problem? Im having a hard time with it, if you can explain it too that would help a lot. attachment below
Answer:
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]
[tex]=\frac{1}{24^3}[/tex]
Thus,
[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
Thus, the equivalent expression is: [tex]\frac{1}{24^3}[/tex]
Triangles A B C, D E F, G H I, and J K L are shown. Angles A C B, D F E, H I G, and K L J are right angles. The length of side A C is 14 and the length of side C B is 20. The length of side E F is 8 and the length of F E is 10. The length of H I is 15 and the length of I G is 12. The length of K L is 10 and the length of L J is 7. The lengths of the hypotenuses are not given. Which pairs of triangles are similar? Check all that apply. △ABC ~ △DEF △DEF ~ △GHI △GHI ~ △ABC △GHI ~ △JKL △JKL ~ △ABC
Answer:
B) △DEF ~ △GHI
E) △JKL ~ △ABC
Step-by-step explanation:
i just did the assignment
The pairs of triangles are similar
△DEF ~ △GHI and △JKL ~ △ABC.
What is similarity ?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
AC = 14
BC = 20
DF = 8
FE= 10
HI = 15
IG = 12
KL = 10
LJ = 7
As, In Right Triangle we can use Pythagoras theorem
AB = √14²+ 20² = 24.41
DE= √8²+10²= 12.8
HG= √15²+ 12² = 19.2
KJ= √10² + 7² = 12.2
Then, from the ratio of Corresponding sides we get
△DEF ~ △GHI and △JKL ~ △ABC.
Learn more about similarity here:
https://brainly.com/question/26451866
#SPJ2
About 3/5th of the registered voters participated in 2016 election. California has 25 million registered voters. Find the number of registered voters who participated in 2016 election.
Answer:
Step-by-step explanation: 3x5=7056 = x25 2016
A barrel of oil was filled at a constant rate of 6.2gal/min. The barrel had 9 gallons before filling began. Enter an equation in standard form.
Answer:
9 + 6.2x = y
Step-by-step explanation:
x - Gallons per minute
y - Total gallons
So, your answer would be:
9 + 6.2x = y
Could also be written as:
y = 9 + 6.2x
Hope this helps :)
slope m=-2, point: (4,3)
Answer:
Step-by-step explanation:
(y - 3) = -2(x - 4)
y = -2x + 8 + 3
y = -2x + 11
pls give brainliest
Answer:
The the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Step-by-step explanation:
Given
slope = m = -2point (4, 3)We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here:
m is the slope(x₁, y₁) is the pointsubstituting the values m = -2 and the point (4, 3) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3 = -2 (x-4)[/tex]
Thus, the the linear equation in point-slope form is
[tex]y-3 = -2 (x-4)[/tex]
Note: This equation could be further simplified to write it in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so writing the equation in the slope-intercept form
[tex]y-3 = -2 (x-4)[/tex]
[tex]y-3 = -2x+8[/tex]
[tex]y=-2x+8+3[/tex]
[tex]y=-2x+11[/tex]
Thus, the equation is the slope-intercept form is
[tex]y=-2x+11[/tex]Write an recursive rule for the sequence 7,14,21,28
Reid earns $9.00 per hour painting furniture and has already earned $22.50. The number of hours, x, for which Reid painted can be found using the equation 22.50=9x.
How many hours did Reid paint?
Answer:
2.5 hours or 2 hours and 39 min
Step-by-step explanation:
22.50/9
sally has 2/8 cookies in a jar she ate 1/4 how many dose she have left :explain
Answer:
1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie
Step-by-step explanation: \
1.5: 2 x 3/4 (already ate 1/4) = 1.5
1/16= 1/4 (2/8 reduced) x 1/4
how to solve 52/48 in the form of hcf
HCF is 4
Step-by-step explanation:
factors of 52 are: 2x2x13
factors of 48 are:2x2x2x2x3
common factors of 52%48 are: 2
hence, = 2x2
=4
hope it helps