Step-by-step explanation:
First solve for y,
7-y<2x
7-2x<y
y>-2x+7
your y intercept would be (0,7)
and your slope would be -2/1 so, you go down 2 and 1 to the right.
Since this is a greater than symbol, we have to shade above the line and the line would also be a dotted line.
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).
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
:)
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:
Joanna works in a marina. Boat servicing costs $70.00, plus $4.50 for each litre of oil. Joanna serviced a boat and made out a bill for $88.00. How many litres of oil did she use?(use equations)
what is this ???????/ 9.1 ∙ 102
Step-by-step explanation: 9.1 x 102 = 928.2.
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
Each side of a cube is 4 inches long. What surface area of the cube
Answer:
96 in^2
Step-by-step explanation:
This is because u have to multiply the two bases and the lateral sides to get your area
Answer:
96
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces.
Area = l x w
4 x 4 = 16
16 x 6 = 96
HELP PLEASEEEEEEEEEEE!!!
Answer:
The graph under the "U" graph
Step-by-step explanation:
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?
Can someone please help me pleaseeee
Answer:
1. 50 miles
2. 100 miles
3. 300 miles
4. 400 miles
5. 35th day
Step-by-step explanation:
Type the next number in this sequence:
6, 14, 32, 60, 98, 146, 204,
Answer: 272 I believe
neeeeed help asappppppp
Answer:
first chart 27
second chart 6
Step-by-step explanation:
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:
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!!!
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.
What is the least common multiple of 3 and 10?
lcm(3, 10) =
Answer:
The anwser you are looking for is 30
Step-by-step explanation:
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
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°
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
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
HELP!!! BRAINLYIEST!
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.
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%
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
4x.5x³.2x⁵ find the product
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:
PLEASE HELP WILL GIVE BRAINLEST
SOLVE THE PROBLEMS WITH SUBSTITION
x=-3y+3
x-3y=-15
Answer:
x = -6
y = 3
Step-by-step explanation:
Since we are given what x equals, we will plug that in first to the second equation.
(-3y+3) - 3y = -15
Solve by combining like-terms and isolating y.
-6y + 3 = -15
-6y = -18
y = 3
Now plug in y to the first equation to solve for x.
x = -3(3) + 3
x = -9 + 3
x = -6
what 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:
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: