Answer:
Step-by-step explanation:
Let the sequence as :
[tex]T_1, T_2, T_3, 17, T_5, T_6,......T_{13}[/tex]
I put 17 there as [tex]T_4[/tex] because I want 3 consecutive elements. Let A is the sum of them.
[tex]T_1+T_2+T_3 = A[/tex]
17
[tex]T_5+T_6+T_7 = A[/tex]
[tex]T_8+T_9+T_{10} = A[/tex]
[tex]T_{11}+T_{12}+T_{13}=A[/tex]
[tex]\sum T_i + 17 = 217 = 4A + 17[/tex]
Hence A = 50
Then, back to the condition
[tex]T_4+ T_5 + T_6 = A = 50[/tex]
[tex]T_5+T_6+T_7 = A = 50[/tex]
Subtract them, we get
[tex]T_4 - T_7 = 0[/tex]
That gives you
[tex]T_4 = T_7 = 17[/tex]
Do the same with other groups.
A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer:
55135 lbs
Step-by-step explanation:
What is the greatest common factor of 42, 126, and 210 ? 2 6 14 21 42
Answer:
Your Answer is 21
[tex]answer = 42 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
what relationship do you see when comparing the equivalent decimal and percent
Answer:
decimal 0.25 percent 25
Step-by-step explanation:
Decimal -divide by 100%
Percent -multiply by 100
// ANSWER PLS //
Which of the following statements is TRUE about minor central angles?
a.) The measure of the central angle is less than 180°.
b.) The measure of the central angle is equal to 360°.
c.) The measure of the central angle is equal to 180°.
d.) The measure of the central angle is greater than 270°.
Answer
b.) The measure of the central angle is equal to 360°.
Step-by-step explanation:
The car is moving on a rough road with a constant velocity. Hence, its acceleration is zero. As per Newton 's second law of motion, no net force is acting on ...
The true statement is The measure of the central angle is less than 180°.
The correct option is (A)
What is an angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
If the central angle is less than 180 degrees then the sector is known as a minor sector.
The definition of the minor sector also says that "the central angles of a minor sector is less than 180"
Hence, The central angle of a minor sector is less than 180° is true.
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What might be a problem with a truck having to park 25 feet away from the base of a building?
Answer:
It will take a lot of time and effort to bring the stuff from the truck to the building
Step-by-step explanation:
Hope that's the kind of answer you wanted
A recipe requires 2/3 of a cup of yogurt. Rachel has 1/2 of a cup of yogurt from a snack pack. How much of the recipe can Rachel make?
Answer:
Rachel can make 3/6 out of 4/6 of the recipe.
Step-by-step explanation:
The amount of the recipe that Rachel can make is 1/2.
How much of the recipe can Rachel make?To determine how much of the recipe Rachel can make with 1/2 cup of yogurt, we need to find the fraction of the recipe that corresponds to that amount.
The recipe calls for 2/3 of a cup of yogurt, and Rachel has 1/2 cup. To compare these two amounts, we need to find a common denominator.
The least common denominator (LCD) for 3 and 2 is 6. To convert the fractions to have a denominator of 6, we multiply the numerator and denominator of 2/3 by 2, and the numerator and denominator of 1/2 by 3:
2/3 x 2/2 = 4/6
1/2 x 3/3 = 3/6
Now, we can see that Rachel has 3/6 cup of yogurt, which is equivalent to 1/2 cup. This means she has exactly half of the required amount.
Therefore, Rachel can make 1/2 of the recipe with the amount of yogurt she has.
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Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 14 kilometers per hour less than the other's. If they meet in 2 hours, what is the rate of the slower car?
Answer:
Say the first car speed as r
Second car speed will be r-14
Since rate times time equal distance, we have
r + (r -14)2 = 300
2r -14 = 300/2
2r = 150+14
r = 164/2 = 82
Speed of slower car 82-14 = 68 km/hr
If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
Answer:
Please i think the question is not complete
Step-by-step explanation:
which of the following are the correct properties of slope? Check all that apply
Answer:
A, B, D
Step-by-step explanation:
Answer:
B. D. A.
all of these answers i typed down are true and correct
Please help, thank you!
Answer:
B
Step-by-step explanation:
11 13 18 19 22 25 29 32 37 37 38
find the median (25)
with 11,13,18,19,22 find the middle for that (18) Q1
with 29,32,37,37,38 find the middle for that (37)Q3
Q3-Q1
37-18=19
Which graph represents the function below?
y=
2x if x> 3
-X+9, if x <3
Answer:
A
Step-by-step explanation
Answer:
You're only showing the first option...
what is 1/4 ou of $602.40
Answer:
150.6
Step-by-step explanation:
It is quite simple. Do you see the word "of" in there? That indicates that you have to multiply. All you have to do is multiply 1/4 by $602.40, and you will find your answer. You could figure it out on a sheet of paper but I recommend using a calculator.
Here is a table of values for y = f(x).
х
0 5 10 15 20 25 30 35 40
f(x) 5 6 7
8
9
10 11
12 13
Mark the statements that are true.
O A. f(15) = 8
B. The domain for f(x) is the set (5, 6, 7, 8, 10, 11, 12, 13},
C. The range for f(x) is all real numbers.
D. f(5) = 6
Answer:
D
Step-by-step explanation:
Kennedy spins the pointer of a spinner. The spinner has four equal sections labeled 1 to 4.
What is the probability the spinner will land on a number less than 5?
Answer:
1 or 4/4
It is certain that the spinner will land on a number less that 5 because the selections are labeled 1 to 4 and the numbers 1 to 4 are less than 5.
Mark takes out a $238,000 mortgage for 30 years. Instead of paying his monthly payment of $1,220.09, he decides to pay $1,420.09. This leads to Mark paying off the entire mortgage in 22 years and 5 months. Mark calculates the percent of the total loan he pays back in interest with and without the extra payments. What is the difference between Mark’s calculated percentages?
a) 8.1%
b) 13%
c) 37.7%
d) 45.87%
Answer:
B
Step-by-step explanation:
Richard can mow the lawn three times as fast as Terri. Together, they finish mowing the lawn in 20 minutes. Which of the following equations would describe how many minutes it would take Richard to mow the lawn by himself? a. 1/x+1/3x=1/20 b. 1/x+1/3=1/20 c. 20 (1/x+1/3x)=1/20 d. x+3x=1
Answer:
d it adds the two up and only mutiplys terris amount.
Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do not know how to solve this question to get to the answer. I will give the title to whoever gives the most understandable explanation to the question and answer. I will be glad to answer to help you give to create an explanation. Thank you and good luck.
Answer:
[tex]y - x = 2[/tex]
Step-by-step explanation:
Given
Points (-2,0) and (-3,-1)
Required
Equation of Line
The first step is to determine the slope of the line; using the following formula
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-2,0)\ and\ (x_2,y_2) = (-3,-1)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{-1 -0}{-3 - (-2)}[/tex]
[tex]m = \frac{-1}{-3 +2}[/tex]
[tex]m = \frac{-1}{-1}[/tex]
[tex]m = 1[/tex]
The next is to determine the equation of the line using any of the points
The formula is as thus;
[tex]m = \frac{y - y_1}{x - x_1}\ or\ m = \frac{y - y_2}{x - x_2}[/tex]
Using [tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-2,0)\ and\ m =1[/tex]
[tex]1 = \frac{y-0}{x - (-2)}[/tex]
[tex]1 = \frac{y-0}{x +2}[/tex]
[tex]1 = \frac{y}{x +2}[/tex]
Multiply both sides by x + 2
[tex](x+2)*1 = \frac{y}{x +2} * (x+2)[/tex]
[tex](x+2)*1 = y[/tex]
[tex]x+2 = y[/tex]
[tex]y = x + 2[/tex]
Subtract x from both sides
[tex]y - x = x - x +2[/tex]
[tex]y - x = 2[/tex]
Hence, the equation of the line in standard form is [tex]y - x = 2[/tex]
Gino paid $3.23 for two tubes of toothpaste. He paid the regular price of $1.79 for one tube. However, he bough the other one for less because he used a discount coupon. How much was the coupon worth?
Answer:
Step-by-step explanation:
Cost of two tubes = $ 3.23
Regular price of one tube = $ 1.79
so, the cost of other tube = 3.23 - 1.79 = $ 1.44
Discount = 1.79 - 1.44 = $ 0.35
The population of algae in an experiment has been increasing by 5% each day. If there were 5p algae at the beginning of the experiment, predict the number of algae in 7 days. Help asap
Answer:
Number of algae in 7 days = 70.355
Step-by-step explanation:
Given:
Algae in beginning = 50
Rate of increasing = 5% per day = 0.05
Number of days = 7 days
Find:
Number of algae in 7 days.
Computation:
[tex]Number\ of\ algae\ in\ 7\ days = Algae\ in\ beginning(1+Rate\ of\ increasing)^{Number\ of\ days}\\\\Number\ of\ algae\ in\ 7\ days = 50(1+0.05)^7\\\\Number\ of\ algae\ in\ 7\ days = 70.355[/tex]
Number of algae in 7 days = 70.355
Answer:
70
Step-by-step explanation:
Acellus
in the following triangle theta=60.Find the values of the angles of the angles B and B'
Answer:
A. B = 64.13° or B' = 115.87°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions using the Law of Sines. Either way, we have ...
sin(B)/16 = sin(θ)/15.4
B = arcsin(16/15.4·sin(60°)) ≈ arcsin(0.899767)
B = 64.13° or B' = 180° -64.13° = 115.87°
Hello I need help on this question. :)
Answer:
C
(4)+8 = 3(4)
12=12
Step-by-step explanation:
Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3. A. Explain why the information Mary was given cannot be correct. B. If the given point (1, 3) and the given slope are correct, what is the equation for the line? C. Give the coordinates of another point on the line. D. If the given points are correct on the line, what is the slope? E. Write an equation for the line.
Answer:
Below in bold.
Step-by-step explanation:
A. We can calculate the slope using (y2 - y1) / (x2 - x1)
= (3 - (-2)) / (1 - 6)
= 5/-5
= -1.
So the given slope of 3 or one of the points is NOT correct.
B. If the point (1, 3 ) and the slope are correct then the equation for the line (using the point-slope form) is y - 3 = 3(x - 1)
C Another point on this line would be , when x = 0 , y = 3*-1 + 3 = 0
so it's (0, 0)
D. If the given points are correct the slope is ( as above) = -1.
E. The equation for this line is
y - 3 = -1(x - 1)
y = -x + 1 + 3
y = 4 - x.
What is 5 1/2 • 2 1/3
Answer:
77/6 or 12 5/6
Step-by-step explanation:
put it into improper fraction
then multiply 11/2 by 7/3
Identify the type of angles labeled as x and y in the figure. answers : ) Nonadjacent angles B) Complementary angles C) Linear pair D) Vertical angles
Answer: Linear pair
Step-by-step explanation:
They are a linear pair because
1) their angles add up to be 180 so complementary is out
2) they aren't vertical of each other so vertical angles is out
And 3) they aren't adjacent angles
Answer:
C
Step-by-step explanation:
will mark bianleast
Which is the correct ordered pair for point F on the graph?
(–5, –5)
(0, –5)
(–5, 0)
(–5, 5)
Answer:
(–5, 5)
Step-by-step explanation:
Start with the x-axis (left and right).
-5 so you go to the left by 5 steps.
Next is y-axis (up and down).
Without moving your spot in -5, you move up by 5 steps.
That is point F.
Tip: (x-axis, y-axis) or (left/right, up/down)
Negative number: Left or Down
Positive number: Right or Up
Solve the equation 25=7+r
Answer:
r = 18
Step-by-step explanation:
Subtract the seven from both sides
25 -7 = 7 - 7 + r
18 = r
Simple as that!
Hope this helps!
The solution of the given equation is 18.
The given equation is 25=7+r.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Transpose 7 to other side of the equation, we get
r=25-7
r=18
Therefore, the solution of the given equation is 18.
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As the result of experimental work, a student finds the density of a liquid to be 0.1369 g/㎤. The known density of that liquid is 0.1478 g/㎤. What is the percent error of this student's work? (Round final answer to the nearest tenth if necessary
Answer:
Percent error is [tex]7.4\%[/tex]
Step-by-step explanation:
Given:
As per the result of experimental work, density of a liquid is 0.1369 g/㎤
Known density of the liquid is 0.1478 g/㎤
To find: percent error
Solution:
The density of a substance is defined as mass per unit volume.
S.I. unit is Kilogram per cubic metre.
Error = Actual density - density as per the experiment = [tex]0.1478-0.1369=1.0109\,\,g/cm^3[/tex]
Percent error = ( error/Actual error ) × 100 = [tex]\frac{0.0109}{0.1478}\times 100=7.4\%[/tex]
Write the slope intercept form 2x-3y=9
Answer:
Hope this is correct
Given: f(x) = x² and g(x) = x + 1, find g[f(-2)].
A. -3
B. 1
C. 5
Answer: C
Step-by-step explanation:
f(x) = x² and g(x) = x + 1
This is composite function, i.e function of a function
g(f(x)) = g(x²), since f(x) = x²
f(-2) = (-2)² = 4
g(f(-2)) = g(4) = 4 + 1 = 5
will mark as bianlest plz plz hlpe asap The ____________ is the average distance of all the data values from the mean of the data. quartile interquartile range mean absolute deviation bias
Answer:
mean absolute deviation