Answer:
1) 2400MB
2) 3 minutes
Step-by-step explanation:
1) 600 MB/Min * 4 Min = 2400MB
2) at 800 MB/Min a 2400MB file will require 2400MB/800MB/Min
2400/800 = 3Min
PLEASE HELP!!!
Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]
= [tex] \frac{16}{4} [/tex]
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]
= [tex] \frac{12}{4} [/tex]
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]
= [tex] \frac{-8}{4} [/tex]
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]
= [tex] \frac{-16}{4} [/tex]
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
PLEASE HELP URGENTLY!!
Answer:
x = 69
Step-by-step explanation:
since AB is parallel to CD we can find the value of y with the following equation :
2y - 40 = 66 add 40 to both sides
2y = 110 divide both sides by 2
y = 55
from supplementary angles, we know that the exterior angle's measure is 124
since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y + x = 124 we found value of y earlier
55 + x = 124 subtract 55 from both sides
x = 69
Can someone help me out, please? Its really important
Answer:
3x^4+8x^3+9x^2+2x
What is … equal to?
9514 1404 393
Answer:
528
Step-by-step explanation:
The sum can be decomposed into parts that may be easier to figure.
[tex]\displaystyle\sum_{n=1}^{24}(2n-3)=2\sum_{n=1}^{24}(n)-3\sum_{n=1}^{24}(1)=2\dfrac{24\cdot25}{2}-3\cdot24\\\\=600-72=\boxed{528}[/tex]
1. Identify two different triangles in the image above. Are the triangles similar? Explain your answer
2.create three different proportions that can be used to find BC in the figure above.At least one proportion must include AC as one of the measures.
Step-by-step explanation:
1. ∆AEB is similar to ∆ADC
L EAB = L DAC
L AEB = L ADC
L ABE = L ADC
2. AE/AD = AB/AC = EB/DC
=> 8/(8+5) = 6.5/AC
8/13 = 6.5/AC
8AC = 13×6.5
AC = 84.5/8
AC = 10.5625
BC = AC -AB
= 10.5625 - 6.5
BC = 4.0625
8m 56mm change into mm
Answer:
8056 mm
Step-by-step explanation:
1 m=1000 mm
(8×1000)mm+56 mm
=8000 mm+56 mm
=8056 mm
Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?
Answer:
$7.47
Step-by-step explanation:
Take the number of pounds and multiply by the price per pound
3 * 2.49
7.47 for 3 pounds of apples
Answer:
7.49
Step-by-step explanation:
Given: 3 pounds, and 2.49 for each pound
Multiply:
2.49 × 3
₁ ₂
2.49
× 3
----------
7. 47
Mrs. Ella bought 3 pounds of apples for $7.49
Solve 7x + 1 < 4(x - 2).
A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}
Given:- 7x + 1 < 4(x - 2)
Solving It:-7x + 1 < 4(x - 2)
7x + 1 < 4x - 8
7x - 4x < -8 -1
3x < -9
x < -9/3
x < -3
So Correct Solution Set Will BeC. {x | x < -3}Hope This Helps YouPlease help me with this
Answer:
1/6 for white and 1/2 for black
Step-by-step explanation:
My knowledge!
Hope it helps!
Answer:
4/15
Step-by-step explanation:
There are 6 white+4black = 10 marbles in the bag
P (white) = white marbles / total marbles = 6/10 = 3/5
We keep the marble
There are 5 white+4black = 9 marbles in the bag
P (black) = black/total = 4/9
P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15
A construction crew is completing about 40 yards of a new highway each day. At this rate, how long will it take them to complete a stretch of 1.6 miles?
70 days
that is the procedure above
see screenshot below
Answer:
A&D
Step-by-step explanation:
we want to solve the following equation for x:
[tex] \displaystyle ( {2}^{x} - 3) ({2}^{x} - 4) = 0[/tex]
to do so let [tex]2^x[/tex] be u and transform the equation:
[tex] \displaystyle (u - 3) (u - 4) = 0[/tex]
By Zero product property we obtain:
[tex] \displaystyle \begin{cases}u - 3 = 0\\ u - 4= 0 \end{cases}[/tex]
Solve the equation for u which yields:
[tex] \displaystyle \begin{cases}u = 3\\ u = 4 \end{cases}[/tex]
substitute back:
[tex] \displaystyle \begin{cases} {2}^{x} = 3\\ {2}^{x} = 4 \end{cases}[/tex]
take logarithm of Base 2 in both sides of the both equations:
[tex] \displaystyle \begin{cases} \log_{2} {2}^{x} = \log_{2} 3\\ \log_{2} {2}^{x} = \log_{2} 4 \end{cases}[/tex]
hence,
[tex] \displaystyle \begin{cases} x_{1} = \log_{2} 3\\ x_{2} = 2 \end{cases}[/tex]
Answer:
( A ) and ( D )
Step-by-step explanation:
( 2^x -3 ) ( [tex]2^x -4[/tex] ) = 0
When the the product of factors equals 0, atleast one factor is 0.[tex]2^x [/tex]- 3 = 0
2^x - 4 = 0
Solve for x.[tex]2^x [/tex]- 3 = 0 , [tex]2^x -4[/tex]
x = [tex]log_2[/tex] (3) , x = 2
The equation has two solutions;
[tex]x_1[/tex] = [tex]log_2[/tex] (3) , [tex]x_2[/tex] = 2.
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x – 4
x – 2
x + 2
x + 4
Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth
Answer:
x = -1.59
Step-by-step explanation:
We are here given a equation and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]
Take log to the base " e " on both sides , so that we can remove the variable from the exponent .
[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]
Distribute by opening the brackets ,
[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]
This can be written as ,
[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]
Divide both sides by ln 4 ,
[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]
Simplify ,
[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]
On simplifying , we will get ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]
which algebraic expression represents this word description?
the product of two and the difference between eleven and a number
a. 2(11-x)
b. 11-2x
c. 2x-11
d. 2(x-11)
Step-by-step explanation:
c. 2x-11 this is the answer
hope this helps you
have a nice day:)
f(x) = 3x + 5
Work out a if f(a)= -13
Answer:
a = - 6
Step-by-step explanation:
Given
f(x) = 3x + 5 , then
f(a) = 3a + 5 and f(a) = - 13 , then equating the right sides
3a + 5 = - 13 ( subtract 5 from both sides )
3a = - 18 ( divide both sides by 3 )
a = - 6
Answer:
a = -6
Step-by-step explanation:
see, x has been replaced by a.
so f(a) = 3a + 5 . . . . . . . (i)
a displaces x from it's every position in the equation.
and it's given that f(a) = -13
putting f(a) = -13 in equation (i) :-
3a + 5 = -13
taking like terms to one side3a = -18
dividing the equation by 3[tex] \blue{ \implies}\mathfrak { \red { \underline{ \: a = - 6 } } } [/tex]
Last month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?
Answer:
2.6
Step-by-step explanation:
2.5÷65=2.6
Work out the circumference of this circle 7.5
Answer:
47.12
Step-by-step explanation:
C=2πr=2·π·7.5≈47.12389
one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work
Answer:
5 + 20 + 6
Step-by-step explanation:
that's how you get
Please help, explain too and I will give brainliest :)
Answer:
c
Step-by-step explanation:
Answer:
C. 37 degrees
Step-by-step explanation:
27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.
I'm sure you can do it with an actual formula, but i can't recall. Cheers
find the value of the variable for 5, 6
Answer:
Step-by-step explanation:
for question 5 )
we know that x-5 = 6 because I'm pretty sure outside of the question we are told that the rectangles are similar and therefore, we can say the above
x-5 = 6
add 5 to both side
x = 11
for question 6)
30 is [tex]\frac{5}{6}[/tex] of 36, so use that on the remaining given side
[tex]\frac{5}{6}[/tex] * 15 = 12.5
then thats what the other side of the bigger shape is
12.5 = x + 6
minus 6 from both sides
6.5 = x
by the way, notice that they have used a variable "x" for both 5 & 6 which is named the same but has a different value in each problem. X is the name of the variable for each problem, but doesn't have any meaning once outside of each of the problems. It's just confusing to use the same named variable at times. something like xy and xz , might have been better names. anyway :)
Renting snow skis costs $15 per hour plus a $10 usage fee. Create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented. Graph your step function from t = 0 hours to t= 10 hours. Then use your model to determine the cost for the snow skis if you were skiing for 4.5 hours.
Answer:
The cost for the snow skis for 4.5 hours is $ 77.5.
Step-by-step explanation:
Since renting snow skis costs $ 15 per hour plus a $ 10 usage fee, to create a step function that models the cost of snow skis in terms of the number of hours the snow skis were rented and determine the cost for the snow skis if you were skiing for 4.5 hours the following calculation must be performed:
10 + (15X) = Cost per hour
10 + 15 x 4.5 = X
10 + 67.5 = X
77.5 = X
Therefore, the cost for the snow skis for 4.5 hours is $ 77.5.
Can any kind soul help me please
Answer:
Cot is an inverse of tan:
[tex]{ \tt{4 \cot( \theta) = \tan( \theta) }} \\ { \tt{ \frac{4}{ \tan( \theta) } = \tan( \theta) }} \\ \\ { \tt{4 = { \tan }^{2} \theta }} \\ { \tt{ \tan \theta = ±2}} \\ { \bf{\theta =±63.4 \degree }}[/tex]
PLEASE HURRY PLEASSEEEE i need help
Answer:
5
Step-by-step explanation:
We cannot repeat an x value for the relation to be a function
Since x=3 ,4, 7 are already used
We must let x=5
find the first principle derivative for 3/x with respect to x
Given f(x) = 3/x, its derivative is
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{\dfrac3{x+h}-\dfrac3x}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{\dfrac{3x-3(x+h)}{x(x+h)}}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{3x-3(x+h)}{hx(x+h)}[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{3x-3x-3h}{hx(x+h)}[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{-3h}{hx(x+h)}[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{-3}{x(x+h)} = \boxed{-\frac3{x^2}}[/tex]
Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..
Answer:
648
Step-by-step explanation:
18√2×18√2= (18√2)²
= (18)²×(√2)²
= 324×2
= 648
Dominic needs 0.6 ounces of fish food to feed his fish for a month. Dominic wants to know how many ounces he needs to feed his fish for 7 months. Which is the correct proportion you could use to solve this problem?
Answer:
The answer is 0.6*7=4.2ounces of fish food.
Step-by-step explanation:
If 0.6 ounces of fish food will suffice for Dominic's fish for a month, then for 7 months he would need 7 times the food he requires for 1 month.
7*0.6=4.2 ounces of fish food.
PLEASE HELP ASAP What is the slope of the given line ? What is the equation of the line ?
Answer:
y =8x - 64
Step-by-step explanation:
that is the procedure above the
The answer for (a) is 28 and the answer for (b) is 13 but I don’t know how to get the answer
Answer:
Step-by-step explanation:
If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):
[tex]x=\frac{4}{5}(35)[/tex] 35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.
For part b., he started with 15 and ended with 28, so his mom gave him 28-15=13. That's how you get the 13.
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
a. 125 degrees
b. 62 degrees
c. 58 degrees
d. 130 degrees
Step-by-step explanation:
I assume these are the inner angles of the polygons.
remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.
each of these triangles has an angle sum of 180 degrees.
to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).
out of that total we can then calculate the size of the missing angle.
a. 6 sides, therefore 4 triangles
4×180 = 720 degrees
the missing angle is
angle = 720 - 88 - 152 - 125 - 105 - 125 = 125
b. 5 sides, 3 triangles
3×180 = 540 degrees
angle = 540 - 109 - 111 - 140 - 118 = 62
c. 4 sides, 2 triangles
2×180 = 360
angle = 360 - 60 - 142 - 100 = 58
d. 7 sides, 5 triangles
5×180 = 900
angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130
Find the measure of the indicated angle to the nearest degree
Answer: x=31°
Step-by-step explanation:
To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.
[tex]cos(x)=\frac{48}{56}[/tex] [use inverse cosine]
[tex]x=cos^{-1}(\frac{48}{56})[/tex]
[tex]x=31[/tex]
Now, we know x=31°.
