Answer:
-4,539
Step-by-step explanation:
Given series is: 147 + 130 + 113 + 96 + . . .
Where first term a = 147
Common Difference d = 130 - 147 = - 17
No. of terms n = 34
To find: [tex] S_{34}[/tex]
By sum of n terms of an Arithmetic Progression, we have:
[tex] S_{n}=\frac{n}{2}[2a + (n-1)d][/tex]
Plugging the values of a, d and n in the above equation, we find:
[tex] S_{34}=\frac{34}{2}[2(147) + (34-1)(-17)][/tex]
[tex]\therefore S_{34}=17[294 + (33)(-17)][/tex]
[tex]\therefore S_{34}=17[294 - 561][/tex]
[tex]\therefore S_{34}=17[-267][/tex]
[tex]\therefore S_{34}=-4,539[/tex]
Which one is greater
(458+231 ) x1/4
or (158+231)÷4
Answer:
(1) 172.25 is greater
Step-by-step explanation:
1. (458+231) x1/4
=>689/4
=> 172.25
2. (158+231)/4
=> 389/4
=> 97.25
Identify the parts of a sphere,
a is the
bis the
c is the center
d is the radius
diameter
great circle
HELP 50points
Answer:
Hello, it appears you did not provide an image that was supposed to be included in order to help answer your question, so I'm afraid I cannot assist you without seeing it. If you supply the necessary photo, I would be more than happy to help you.
Distributive Property
3(2x + 2)
Answer: 6x+6
Step-by-step explanation:
3*2x=6x
3*2=6
Therefore 3(2x+2) = 6x+6
Michael misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 19?
Answer:
190
Step-by-step explanation:
19x100= 1900/10 = 190 throws
1 Mrs. Thiel has 178 papers to grade.
She graded 49 papers this morning
and 56 paper this afternoon. How many
papers does Mrs. Thiel have to grade
this evening?
Answer:
73 Papers
Step-by-step explanation:
Let's start by finding out how many papers Mrs. Thiel has already graded.
56 + 49 = 105
Now, let's subtract how many papers she has already graded from how many she has to grade in total.
178 - 105 = 73
So, Mrs. Thiel has to grade 73 papers this evening.
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Answer:
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Step-by-step explanation:
Given
[tex]Zeros: -5,-2,2[/tex]
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
[tex]f(x) = (x - a)(x - b)(x - c)[/tex]
So, we have:
[tex]Zeros: -5,-2,2[/tex]
[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]
Open the inner brackets
[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]
Expand the difference of two squares
[tex]f(x) = (x +5)(x^2 - 4)[/tex]
Expand
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
A recipe for oatmeal raisin cookies requires 2 eggs for every dozen cookies . Which equation shows the relationship between eggs ( e ) and dozen cookies ( c ) ?
Answer:
2e = c
Step-by-step explanation:
Let :
Egg = e
Cookies = c
2 eggs for every 1 dozen of cookies
This gives the Mathematical expression :
2 eggs = 1 c
2e = c
A wall of a building is made from blocks that are each 1 cubic foot.
The wall is 6 feet high and 6 feet wide.
A window is made by removing some blocks as shown below.
The window is 2 feet high by 2 feet wide.
The wall is 6 feet high and 6 feet wide. The window is 2 feet high by 2 feet wide is cut from the centre of the wall.
What is the volume of the wall after the window is made? Enter your answer in the box.
Answer:
6×6×1-(2×2×1)=36-4=32.
"I think of a number, take away 1 and multiply the result by 3."
Answer:
I got 6.
Step-by-step explanation:
I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.
1/3 to the power of negative 2
Answer:
9
Step-by-step explanation:
1/3 if we multiply it with it self we will get this answer
solve for y: -4y + 5 > -15
Step-by-step explanation:
-4y+5>-15
-4y>-15-5
-4y>-20
divide both (-)
4y>20
divide through by 4
y>20/4
y>5
This figure is a step in which construction?
Answer:
I think the answer is a line perpendicular to EF through point R
Step-by-step explanation:
In each of the following, find all real numbers x that satisfy the given equation. If none satisfy the equation, then state the answer as "None."
(25/4)^3x = 32/3125
Answer:
The solution is [tex]x = -\frac{5}{6}[/tex]
Step-by-step explanation:
We solve this question using exponential properties.
We have that:
[tex](\frac{25}{4})^{3x} = \frac{32}{3125}[/tex]
Simplifying:
[tex](\frac{5^2}{2^2})^{3x} = \frac{2^5}{5^5}[/tex]
[tex]([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}[/tex]
[tex](\frac{5}{2})^{6x} = (\frac{2}{5})^{5}[/tex]
Changing the numerator and denominator in the right side:
[tex](\frac{5}{2})^{6x} = (\frac{5}{2})^{-5}[/tex]
Since both bases are equal:
[tex]6x = -5[/tex]
[tex]x = -\frac{5}{6}[/tex]
The solution is [tex]x = -\frac{5}{6}[/tex]
541,829 541,840 which one of those are greater
829541
Step-by-step explanation:
541,840,829541
WILL
GIVE BRAINLIST FOR MATH
....
What is the area of the triangle?
A.) 12 squares meters
B.) 20 square meters
C.) 24 square meters
D.) 40 square meter
Answer:
[tex]Area \ of \ traingle = \frac{1}{2}*base * height = \frac{1}{2}* 6*4= 12m^2\\\\option A[/tex]
What statement proves a quadrilateral is a square?
•Quadrilateral ABCD has diagonals that are either congruent or perpendicular bisectors.
• Quadrilateral ABCD has 2 congruent sides and 2 congruent angles.
• Quadrilateral ABCD is a rhombus and a rectangle.
O Quadrilateral ABCD is a trapezoid and a kite.
Answer:
Quadrilateral ABCD has 2 congruent sides and 2 congruent angles.
what is the product im simplest form for 3/5×2/3
Answer:
0.4
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
A jet skier departs from Pier 1, travels 796 meters directly to a buoy, makes a turn, and travels 1054 meters directly to Pier 2, which is 411 meters from Pier 1.
How many degrees was the jet skier's turn?
Round your answer to the nearest whole degree.
9514 1404 393
Answer:
160°
Step-by-step explanation:
The path is a triangle with side lengths 796, 1054, and 411 meters. The turn is opposite the short side. The interior angle of the triangle at that point can be computed using the law of cosines. If we label the sides a, b, c, respectively, then ...
c² = a² + b² - 2ab·cos(C)
C = arccos((a² +b² -c²)/(2ab)) = arccos(1575611/1677968) ≈ 20.116°
The external angle at the buoy is 180° -20° = 160°.
The jet skier's turn was about 160°.
What is the area of the regular trapezoid below?
- 6 cm
T
8 cm
10 cm
Answer:
Area = 64 cm²
Step-by-step explanation:
To find the area, we have to follow some steps:
=> Step 1: Make the bases similar:
Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:
(6 + 10) / 2
(16) / 2
8
So now that we know our base,
=> Our second step is to multiply the base we found by the height of the trapezoid:
Area = common base * height
Area = 8 * 8
Area = 64 cm²
Hope this helps!
PLEASE HELP! ( 20 points! )
A student needs to calculate their cumulative gpa for high school. 9th grade they got 4.00 for the whole year, 10th grade they got 4.00 for the whole year, and for the 1st semester of 11th grade they got 3.46, and the second semester for 11th grade they got a 4.00. What is the total cumulative gpa after they graduate?
Answer:
15.46
Step-by-step explanation:
Answer:
15.46
Step-by-step explanation: if this isnt it im sory
m and p are complementary angles m/M = 56, and m/P = 2x + 4. Write and solve an equation to find the value of x.
Pls help me, if you get it right I will give you Brainlist!
Answer:
Step-by-step explanation:
PLEASE HELP!! Click the picture
Answer:
If y - 4 = 5 then:
y = 5 + 4
y = 9
Rewrite 4 < n, so that the variable is on the left side
Answer:
n > 4 I think is the answer, I'm not 100% sure
Answer:
n<1/4
Step-by-step explanation:
4<n Sub n on both sides
4n<0 Divide by 4 on both sides
n<1/4
While baking, Pedro used
3
cup flour and
8
cup flour. How much flour did Pedro use altogether?
Answer:
11 cups of flour..... any other questions?
Step-by-step explanation:
Let a and b be real numbers were a≠ b ≠ 0. Which of the following functions could represent the graph below?
Answer:
A
Step-by-step explanation:
where the graph
WHERE THE GRAPH???
julio sells hand-painted skateboards.
The graph shows how the price of a
skateboard is related to the amount of
time Julio spends painting it. Julio says
the equation of the line is y = 10x + 15
Answer:
you need to post a pic with it.
Step-by-step explanation:
115
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar. This new product is expected to increase profits substantially because they create the 50% less sugar product by replacing 50% of the juice with water while selling it for the same price. An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He selects a random sample of 500 containers of orange juice and determined the percentage of each that is water. He plans to conduct a significance test at the a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50. What is the probability that the inspector makes a Type I error?
Answer:
0.01
Step-by-step explanation:
The probability of making a Type I error is equal to \alphaα = 0.01, the significance level of the test
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar.
An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He plans to conduct a significance test at a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50.
Type I error is referred to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.
Type I error is when one rejects the null hypothesis even though it's true. In this case, the inspector rejects the hypothesis that the proportion of water that is contained in the product is 0.5.
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
Learn more about probability here;
https://brainly.com/question/11234923
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mr ferry owns a cow, a horse, and a goat.
cow eats 2 1/2 kilograms of grass per day
horse eats 1 1/2 kilo of grass per day
goat eats 3/4 kilo of grass per day
how many kilo of grass should mr ferry buy to feed his 3 animals for 30 days.
if grass costs 125.50 per kilogram. how much will the 30 day supply of grass cost?
Answer:
a. the farmer needs 142.5 kilograms and it will cost 17,883.75 for thirty days of grass for the animals.
Step-by-step explanation:
(.75+1.5+2.5)*30=142.5 kg
142.5*125.50= $17,883.75