1) Kayla is using mental math to find the given sum. Which equivalent
expression could she use?
A)
85 + 20
B) 90 - 13
C)
100 + 13
D) 105 - 2
In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?
Answer:
161700 ways.
Step-by-step explanation:
The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
3 transistors from a set of 100. So
[tex]C_{100,3} = \frac{100!}{3!(100-3)!} = 161700[/tex]
So 161700 ways.
If the exponential model f(x)=14(5)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?
Answer:
We have:
f(x) = 14*(5)^x
And we want to write this in the form:
g(x) = A*e^(k*x)
We want to have f(x) = g(x)
This is ratter easy.
The general case is:
A*(r)^x = B*e^(k*x)
Here we have:
A = B
Then:
(r)^x = e^(k*x)
Now we can remember the relation:
(a^x)^y = a^(x*y)
Then we can write:
e^(k*x) = (e^k)^x
Then we have:
(r)^x = (e^k)^x
Then we must have:
r = e^k
Now let's go to our case:
14*(5)^x = A*e^(k*x) = A*(e^k)^x
Then we have:
14 = A
5 = (e^k)
With this equation we can find the value of k.
ln(5) = ln(e^k) = k
ln(5) = k
Then the equation g(x) is:
g(x) = 14*e^(ln(5)*x)
Answer:
A0=14 k +ln9
Step-by-step explanation:
To rewrite the model with the base e, we use the fact that for all b>0,
b=eln(b)
Using this property, and then the power property of logarithms, on 9x, we find that
(9)x=eln(9x)=exln(9)=e(ln(9))x
So we find that
14(9)x=14eln(9)x
So A0=14 and k=ln(9).
what is this ???????/ 9.1 ∙ 102
Step-by-step explanation: 9.1 x 102 = 928.2.
Deanna says a common denominator for ¼ and ⅙ is 20. Do you agree? Explain why or why not
Answer:
no
Step-by-step explanation:
4 IS a factor of 20
BUT
6 IS NOT a factor of 20
a common denominator for 1/4 and 1/6 would be 12
In trapezoid MNPQ shown below, MN || QP, m&M = 108°, m&P = 4x - 5, and
mxQ = 3x + 21. What is the number of degrees in m«N.
Answer:
Answer:
The answer is below
Step-by-step explanation:
A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base. Also, the angles on the same leg of a trapezoid (adjacent angles) are supplementary (add up to 180°).
In trapezoid MNPQ:
∠M + ∠Q = 180° (angles on the same leg are supplementary)
108 + (3x + 21) = 180
3x + 129 = 180
3x = 51
x = 17
Also:
∠N + ∠P = 180° (angles on the same leg are supplementary)
∠N + (4x - 15) = 180
∠N = 180 - (4x - 15)
∠N = 180 - 4x + 15
∠N = 195 - 4x
substitute x = 17°:
∠N = 195 - 4(17)
∠N = 127°
PLEASE HELP ME I WILL GIVE ALL MY POINTS!!! 1440 tons of grain were brought to a silo over 2 days. On the second day, 80% of the amount of the delivered during the first day was brought in. How many tons of grain were delivered to the silo on the first day?
Answer:
800 tonsStep-by-step explanation:
Let the amount brought in the first day be x
In the second day brought:
80% of x = 0.8xTotal in two days:
1440 tonsSolve the following equation for x:
x + 0.8x = 14401.8x = 1440x = 1440/1.8x = 800 tonswhat equation can be formed to determine the two numbers.
Answer:
If one is given a quadratic equation in the form x2 + bx + c = 0, the sought factorization has the form (x + q)(x + s), and one has to find two numbers q and s that add up to b and whose product is c (this is sometimes called "Vieta's rule" and is related to Vieta's formulas).
Step-by-step explanation:
Answer:
what numbers?
Step-by-step explanation:
4x.5x³.2x⁵ find the product
A student read the clock at 12:00. Then she read it again at 12:15. How many one degree turns has the minute hand made?
Answer
about 15
Step-by-step explanation:
Six and one-half ounce is
milliliters.
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND DOUBLE POINTS
A)
0.60B=B-0.40B
0.60B+0.40B=B
B=B
3
Select the correct answer.
Emma starts a food blog. When the blog is launched, the number of site visits is 486. Every month, the number of site visits Increases by
one-third of the number of site visits in the previous month. At this rate, how many total site visits will there have been after 6 months?
OA. 6,734
OB.
2,731
Ос.
9,465
OD
728
Reset
Next
Answer:
6734
Step-by-step explanation:
1st month -> 486
2nd month->(1/3 x 486)+ 486
=648
3rd month->(1/3 x 648)+ 648
=864
4th month->(1/3 x 864)+ 864
=1152
5th month ->(1/3 x 1152)+ 1152
=1536
6th month ->(1/3 x 1536)+ 1536
=2048
486 + 648 + 864 + 1152 + 1536 +2048 = 6734
neeeeed help asappppppp
Answer:
first chart 27
second chart 6
Step-by-step explanation:
Which is equivalent to 3/8 1/4
Answer:
Step-by-step explanation:
what is equivalent to
1/4: 2/8, 4/16, 8/32....... and etc-
3:8: 6/16, 9/24 and etc.......-
i was listening to rhinestone eyes while typing this-
ty :P
HELP!!! BRAINLYIEST!
4 units 2 units 7 units 3 units what's the area
Answer:
15 units
Step-by-step explanation:
split the figure into two figures
one with 4x3 and the other with 1x3
then find the area for each and add the areas to get total area
4x3=12
1x3=3
12+3=15
hope this helps have a blessed day :)
Answer:
The answer has to be 168
Step-by-step explanation:
To find the Area you need to multiply all the lengths of each side together.
So 3x4x2x7=168
HOPE THIS HELPS!!!
PLEASE MARK BRAILIEST!!!
A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:
Type the next number in this sequence:
6, 14, 32, 60, 98, 146, 204,
Answer: 272 I believe
SOMEONE PLS HELP IM BEGGING I NEED TO PASS MATH You buy a cell phone case for $28 online. Your order qualifies for free shipping when you spend at least
$50. Select an inequality that represents the additional amount a (in dollars) you can spend and get free
shipping. Then solve the inequality.
O 28+ a > 50
O a + 28 > 50
28 > 50+ a
O 28
The solution of the inequality is
Answer:
Step-by-step explanation:
your right choice is a
you need
28+a[tex]\geq[/tex]50
What percent of 40 is 50?
PLZ PLZ PLZ
Joaquin can read one comic book in 15 minutes. Write and solve an equation to determine how many comic books he can read in 75 minutes.
Jesse rides his bike to school on most days. The school is 4.5 miles from his house. If it takes him 13.5 minutes to ride to school, what is his rate per mile?
of 24 maths teachers ,15 of them are left handed . what percentage of the teachers are right handed
Answer:
38%
Step-by-step explanation:
Percentage is 37.5% but you round up
:)
HELP PLEASEEEEEEEEEEE!!!
Answer:
The graph under the "U" graph
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
using substitution x= 3 and y= -4 (3,-4)
1/10 of the counters in a bag are blue. 1/2 of the counters are red. 2/5 of the counters are yellow. Which of the ratios below shows the ratio of blue to red to yellow?
Answer:
well 1/10 are blue, 5/10 are red, and 4/10 are yellow.
1/10 blue
5/10 red
4/10 yellow
I don't really know how to answer this question but I hope me converting the ratios helps :)
Step-by-step explanation:
What is 15% of 40?
A. 2
B. 4
C. 5
D. 6
Answer:
the answer is 6
Step-by-step explanation:
6............................
Answer:
=15/100*40
=15/10*4
=6 ans.
Can someone help me with both of these? You can answer only one, however, If you answer both that is who gets brainliest. don't answer just to take my points or you will get reported.
Answer:
1. true
2. Associative
Step-by-step explanation:
Find the total cost, to the nearest cent, for a meal at a restaurant that cost $19.74 with
an additional sales tax of 7.5%