What is the 50th term of the arithmetic sequence 7, 10, 13, ...?
show complete working format please
Answer:
154
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 10 - 7 = 3 , thus
a₅₀ = 7 + (49 × 3) = 7 + 147 = 154
Karen buys apples and bananas for the daycare center she runs. The apples cost $1.50 per pound, and the bananas are $0.50 per pound. The table shows the amounts of apples and bananas she has purchased the previous six weeks. Apples, x (pounds) 5 10 7 3 9 12 Bananas, y (pounds) 5 5 12 14 9 2 This week, Karen will spend $20.50 on apples and bananas. Write an inequality that describes both the amounts of apples and bananas she has purchased in the past six weeks and the amounts she may buy this week. Enter the correct answer in the box. Write your answer in the form ax + by = c, using the appropriate inequality symbol in place of the equal sign.
Answer:
Step-by-step explanation:
which equation represents a line which is perpendicular to the line y=4/3x - 7?
a. 3x + 4y = 8
b.4x + 3y = -6
c. 4x - 3y = 24
d. 4y - 3x = 12
A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answer:
hello
Step-by-step explanation:
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
give an example of a rational number
Identify the property on this equation 5(a + 3b) = 5a + 15b
Answer:
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Step-by-step explanation:
Answer: Distributive Property
The term "distribution" is also used in place of "distributive"
This property says
x*(y+z) = x*y + x*z
We multiply the outer term x with each inner term (y and z). Then we add the results.
In this case,
x = 5
y = a
z = 3b
So,
5(a+3b) = 5*a + 5*3b = 5a+15b
10t-19=7t-14
what does t=
Answer:
t = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
10t - 19 = 7t - 14
Subtract 7t from both sides;
3t - 19 = -14
Add 19 to both sides;
3t = 5
Divide both sides by 3;
t = [tex]\frac{5}{3}[/tex]
I need help please!!
Answer:
1
Step-by-step explanation:
The line goes through the point 1, so that will be the slope.
Hi guys can you please help me with this problem please ill mark brainiest
The answer is y= 23/4
Idk how to do this and I need it in an hour
Answer:
a) [tex]2x^2+8-5x+-3x^2-4+7x\\\\= -1x^2+2x+4[/tex]
b) [tex]2x^2+8-5x--3x^2-4+7x\\\\= 5x^2+2x+4[/tex]
Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.
Answer:
Plot it at (4,-0.5)
Step-by-step explanation:
Answer:
-4, -0.5
Step-by-step explanation:
Pls help me
Question 10 (1 point)
Which of the following measurements, could be the side lengths of a right triangle?
a
8 inches, 10 inches, and 12 inches
9 inches, 12 inches, and 15 inches
b
с
10 inches, 5 inches, 11 inches
d
6 inches, 12 inches, 14 inches
Submit
Answer:
9in 12in 15in
Step-by-step explanation:
7. Find the slope of the line.
Answer:
5
Step-by-step explanation:
take 2 points on the graph, for example (4,20) and (2,10) use y2-y1/x2-x1 to solve ,plug in the values 20-10/4-2= 10/2 = 5
PLEASE ANSWER AS SOON AS POSSIBLE!
Need help ASAP please give answer in cm squared
Answer:
17×15=255
Step-by-step explanation:
you do base times height
Please HURRY I need to get this turned in.....
7. Of the three explanations below, which person gives the best explanation of why the LSRL is the best line of best fit?
Explain your choice.
Thomas: The LSRL is the best line of
best fit because it touches the most
points on a scatterplot when graphed.
Keene: The LSRL is the best line of best fit
because it has the smallest value for all the
squared residuals added together.
Ella: The LSRL is the best line of best fit because the sum of the residuals is closest to zero when they are all
added together.
Answer:
Ella
Step-by-step explanation:
IT goes more into detail on why the LSRL is best line of fit
At the beginning of the business day a bank vault had $575,900. By the end of the day, $ (3.5 x 10^3) have been added to the vault how much money did the banks fault told at the end of the business day write your answer in standard form.
9514 1404 393
Answer:
$579,400
Step-by-step explanation:
The total will be ...
$575,900 +3.5×10³ = $575,900 +3,500 = $579,400
At the end of the day, the vault held $579,400.
If a ∥ b and e ∥ f, what is the value of y?
87
88
91
92
Answer:
88 i believe
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
7th grade math help me plzzzzz
Common Factors for
21 and 63
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!
A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.
Answer:
2/5
Step-by-step explanation:
first select the line that is positive which is the purple one
slope = change in y / change in x
two clear points are (0,2) and (5,4)
so you do y2-y1 / x2-x1
=(4-2)/(5-0)
=2/5
so the slope is 2/5
help I want to get sleep
Answer:
I got -45.1 but idek if its right or not
Answer:
-45.1
Step-by-step explanation:
-6*7.1 + 2.5
-42.6 + 2.5
= -45.1
On multiple-Choice history Test, rita received a mark of 80%. She answer 32 correctly
Let total number of questions be x.
According to the question,
80% of x is 32
or 80/100 × x = 32
or x = 32 ÷ 80/100
or x = 32 × 100/80
or x = 32 × 10/8
or x = 4 × 10
or x = 40
So, total number of questions is 40.
Is none proportional it proportional
Answer:No it is not proportional
Step-by-step explanation:
The reason non proportional is not proportional is bc it's not proportional.
Answer:
It's not proportional
Step-by-step explanation:
I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.
2 points
2) Mark bought a new suit for $139. The sales tax was 8.5%. What is the
total cost of the suit?*
Transformation!! Please only help if you have the answer!!
Answer:
the answer for this one is A
Step-by-step explanation:
mostly because for this you're only looking for H and not the rest of them so if you reflect is itll be in the same spot just on the opposite side
Which of the following is not a function
B is not right
Answer:
The first one
Step-by-step explanation:
They have 2 outputs for the same input
A number t increased by seventy
Answer: t + 70
Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.
$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to double
Answer:
The formula you'll need is:
Years = ln (total / principal) / rate
ln means natural log
Years = ln (2,000 / 1,000) / .045
Years = ln (2) / .045
Years = 0.69314718056 / .045
Years = 15.4033
Step-by-step explanation: