If
[tex]M(t) = e^{3(e^t-1)}[/tex]
then using the chain rule, we have
[tex]M'(t) = e^{3(e^t-1)} \times 3e^t = 3e^{3(e^t-1)+t}[/tex]
[tex]M''(t) = 3e^{3(e^t-1)+t} \times (3e^t+1)[/tex]
Then
[tex]M''(0) = 3e^{3(e^0-1)+0} \times (3e^0+1) = 3e^0 \times (3+1) = \boxed{12}[/tex]
name the property of (4+-4)y=0y
Answer:
o
Step-by-step explanation:
4t y=0y=0
q= 4n+4w solve for n
Answer:
Step-by-step explanation:
Subtract both sides by 4w
q - 4w = 4n
Divide both sides by 4
n = q - w
Solve ( b + 3) ( b + 7) using the FOIL method. QUICK PLEASE !
Answer:
b² + 10b + 21
Step-by-step explanation:
First: b²
Outer: 7b
Inner: 3b
Last: 21
b² + 7b + 3b + 21 =
b² + 10b + 21
Answer:
[tex](b + 3)(b + 7) \\ b(b + 7) + 3(b + 7) \\ b {}^{2} + 7b + 3(b + 7) \\ b {}^{2} + 7b + 3b + 21 \\ b {}^{2} + 10b + 21[/tex]
hope this will help u :)
15) Darla's marching band needs money to travel to a competition. Band
members have raised $580. They need to raise a total of $1660. Write
and solve an equation to find how much more they need.
Step-by-step explanation:
$1660-$580= $1,080
Answer:
1660 minus 580
Step-by-step explanation:
they have already raised 580. so get 1660 is to subtract 1660 to 580
What is 2/4 + 3/6 plz help
Answer:
1
Step-by-step explanation:
[tex] \frac{2}{4} + \frac{3}{6} =\frac{1}{2} + \frac{1}{2} [/tex]
[tex] \frac{1 + 1}{2} = \frac{2}{2} [/tex]
[tex] = 1[/tex]
There are 80 cupcakes to be sold at school for a
fundraiser.
1/4 were chocolate
1/5 were vanilla
The rest were strawberry flavored. How many
cupcakes were strawberry flavored?
Answer:
44
Step-by-step explanation:
Let S = strawberry count
Chocolate = 1/4 * 80 = 20
Vanilla = 1/5 * 80 = 16
Total = C + V + S
80 = 20 + 16 + S
80 - 20 - 16 = S = 44
5.89 to the nearest 10th
Answer:5.9
Step-by-step explanation:
Answer:
5.9
Step-by-step explanation:
You round when the numbers are 5 and above
If it is lower than 5 you keep
Nearest 10th = to the 10th place in the decimal form so the 5 is the whole number, the 8 is in the tenths place and the 9 is in the hundredths place
How will you know if the equation opens vertically or horizontally?
Step-by-step explanation:
If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left
Answer:
If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.
Hope you got it
If you have questions just ask me
There are 2 numbers that add up to 32. If one number is eight more than three times the other, find the two numbers.
Answer:
8 and 24
Step-by-step explanation:
let one no. be x
and another be 3x
Their sum = 32
Now,
x + 3x=32
4x=32
x=32/4
x=8
Hence, one number is x =8 and another is 3x = 3*8=24
Hope it helps you a lot..️
The two numbers are 6 and 26
From the given statement, we can form the following equations;
Let the first number = x
let the second number = y
The 2 numbers that add up to 32:
x + y = 32 ---------- (1)
If one number is eight more than three times the other:
x = 3y + 8 -------(2)
Substitute the value of x into equation (1) and solve for the second number
3y + 8 + y = 32
4y = 32 - 8
4y = 24
[tex]y = \frac{24}{4} = 6[/tex]
The value of the first number, x, is calculated as;
x = 3(6) + 8
x = 18 + 8
x = 26
Thus, the two numbers are 6 and 26
Learn more here: https://brainly.com/question/14294864
How do the perimeters of the rectangles compare?
If the 102,619 residents of a city are divided into 57 equal groups, then some residents don’t fit into a group.
How many residents would be in a group?
How many residents would not fit into a group?
Hey there! Here is your answer:
102,600 would be in a group. 19 would not be in a group.
Step-by-step explanation:
We can figure this out by doing 102,619 divided by 57. This gives us:
1,800 R 19
Now we need to multiply 1800 by 57 to see how many residents there are:
1,800 x 57 = 102,600
Our remainder tells us how many residents would not fit into a group. Since our remainder is 19, 19 would not be in a group.
I hope this helps!
Can anyone explain this math problem?….
Steve goes on a road trip. He travels a total of 495 miles, and the trip takes 15 hours from start to finish.
What is his average rate of change of distance?
What are the units?
Answer:
Step-by-step explanation:
r = d/t
r = miles / hour
r = 495 / 15
r = 33 miles / hour
name two points that are not contained in or lying in plain p
provide at least two ways to name plane P
Answer:
Points W and Zplane QRS; plane STUStep-by-step explanation:
a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.
__
b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...
QRS, STU
What is the value for y?
Answer:
5
Step-by-step explanation:
5y=10
y=10-5
so,
y=5
and thats the answer
how do you write 0.94 as a fraction with this _on top of the 4
Answer:
[tex]94/99[/tex] Or [tex]0.94[/tex] as a repeating decimal
Step-by-step explanation:
Need Help!!!!!!!!!!!!!!Find the outer perimeter of this figure. Round your answer to the nearest hundredth.
Answer:
The perimeter of the figure is 14.71 ft
Step-by-step explanation:
The outer perimeter of the figure is the sum of the boundary dimensions.
The missing outer dimension is the length of the arc or half circumference.
Length of arc formula/half circumference = 1/2 πr = 1/2 x 3.14 x 3 ft = 4.71 ft
The other dimensions are 5ft and 5ft.
Therefore, the outer perimeter of the figure is:
4.71 ft + 5 ft + 5 ft = 14.71 ft
Solve equation. 7/8-2/3
Answer:
[tex] \frac{7}{8} - \frac{2}{3 } \\ \frac{7 \times 3}{8 \times 3} - \frac{2 \times 8}{3 \times 8 } \\ \frac{21 - 16}{24 } \\ = \frac{5}{24} [/tex]
Step-by-step explanation:
7/8-2/3
(7*3)/(8*3)-(2*8)/(3*8)
(21-16)/24
5/24
is the answer ...plzz add it to brainliest
the distance between the base of the tree and the base of the building is:
please
my guess is "15m" is it correct ?
Explanation:
Apply the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]
The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.
Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.
The following set of points are on the graph of a function:
x y
2 5
3 6
4 7
5 8
6 9
7 10
Which point would be on the inverse of this function?
Group of answer choices
(-10, -7)
(-6, -3)
(-2, -5)
(9, 6)
Point (9, 6) would be on the inverse of this function so option (D) will be correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the sets of coordinates of a function.
An inverse function is the reciprocal of a function and the coordinate of the inverse function is interchanged with the original function.
For example, if (x,y) is the coordinate of the function then (y,x) will be the coordinate of the inverse of the function.
Since option (D) (9, 6) is the interchange of (6,9) so it will be the inverse of a function.
Hence "Point (9, 6) would be on the inverse of this function".
For more about the function,
brainly.com/question/23712366
#SPJ2
Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property?
Answer:
W = 90 ft
Step-by-step explanation:
1 acre = 43,560 ft^2
A (area) = L (length) x W (width),
L = 484
A = 43560
W = A/L
= 43560/484
= 90 ft
16+24/8-6 is equal to __.
A) 6
B) 20
C) -1
D) 13
Answer:
16+21/8-6 simplifies to 13
Hope this helps!!
Answer:
D. 13
Step-by-step explanation:
Step 1:
16 + 24 / 8 - 6
Step 2:
16 + (24 / 8) - 6
Step 3:
16 + 3 - 6
Step 4:
(16 + 3) - 6
Step 5:
19 - 6
Answer = 13
Hope it helps :)
please answer this
9×(7-4)^2+9
Answer:
90
Step-by-step explanation:
Use the correct order of operations.
9 × (7 - 4)^2 + 9 =
= 9 × 3^2 + 9
= 9 × 9 + 9
= 81 + 9
= 90
Answer:
90
Step-by-step explanation:
9*3^2+9
9*9+9
81+9
90
What is [tex]|x-6|[/tex] given that [tex]x \geq 6[/tex]
Answer:
[tex]\mid x-6 \mid \geq 0[/tex]
Step-by-step explanation:
We have two options for x; it is either 6 or greater than 6:
If [tex]x=6\\[/tex], [tex]\mid x-6 \mid = \mid 6-6 \mid = \mid 0 \mid = 0\\[/tex].
If [tex]x > 6[/tex], [tex]\mid x-6 \mid > \mid 6-6 \mid[/tex] => [tex]\mid x-6 \mid > 0[/tex].
(for example, if [tex]x=7\\[/tex], [tex]\mid x-6 \mid = \mid 7-6 \mid = \mid 1 \mid = 1 > 0[/tex])
So, [tex]\mid x-6 \mid = 0[/tex] or [tex]\mid x-6 \mid > 0[/tex]; [tex]\mid x-6 \mid \geq 0[/tex].
Solve: 0 = 2x^2 + 16x
Answer:
2x^2 +16x=0
=>2 x(x+8)=0
=>2x=0 or x+8=0
=>x= 0 or x=-8
Step-by-step explanation:
Do 6/9 and 10/15 consists of equivalent fractions
Answer:
Yes
Step-by-step explanation:
Cross multiply
6/9 = 10/15
6 x 15 = 90
10 × 9 = 90
so yes they consist of equivalent fractions. cross multiplying is a simple way to find out if fractions are equivalent.
The graph shows the result of matrix operation AB, where the pre-image has dashed lines. Which matrix could represent B?
Matrix operations includes the addition, multiplication and subtraction of matrices
The correct option for the matrix that can be used to represent B is option D)
[tex]D) = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The reason the above option is correct is as follows:
From the graph, we have that the coordinates of the preimage are;
(-6, 5), (-3, 9), and (6, 5)
The coordinates of the preimage in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The coordinates of the image are;
(-6, -5), (-3, -9), and (6, -5)
The coordinates of the image in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
The above image matrix can be obtained from the primage matrix as follows:
[tex]\left[\begin{array}{rrr}1&0\\0&-1\end{array}\right]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right] = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Which is of the form AB = C
Where;
[tex]A = \left[\begin{array}{rrr}1&0\\0&-1\end{array}\right][/tex]
[tex]B = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
[tex]C = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Therefore, the matrix that could represent B is [tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex] which is option D)
Learn more about matrix operations here:
https://brainly.com/question/17058708
How do you write the sum of a number and 5 divided by 20 is 5 as an equation?
Answer:
95 + 5 = 100
100 divided by 20 = 5
Step-by-step explanation:
sorry if I am wrong
-3x-y=4 Slope-intercept form?
Answer:
y = -3x - 4
Step-by-step explanation:
-3x - y = 4
~Add 3x to both sides
-y = 4 + 3x
~Divide -1 to everything
y = -4 - 3x
~Reorder
y = -3x - 4
Best of Luck!
The square root of 89 is rational or irrational and why
Step-by-step explanation:
√89 is irrational number because it is not a perfect squareI WILL GIVE BRAINLIEST AND 100 POINTS (answer correctly) I NEED NUMBER 12 DONE ASAP!!
Answer:
16Step-by-step explanation:
p³/r² - (m + np) = (-8)³/4² - (-32 + 2(-8)) = -512/16 - (-32 - 16) = -32 + 48 = 16m+np
-32-16-48Now
-32-(-48)16