Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth 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 = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
Evaluate the expression for the given value of each variable.
5a^{2}+ 4b^{3}, when a = 3 and b = 2
Guys help don't have enough time left. This can really effect everything if this is correct so try your best.
Answer: 180
Step-by-step explanation:
Answer: 180ft^3
Step-by-step explanation:
A cheese wheel has a radius of 4 in. What is the circumference of the wheel? Round your answer to the nearest hundredths.
Step-by-step explanation:
[tex]2 \times \frac{22}{7} \times 4 \\ [/tex]
[tex] \frac{11}{7} \times 4[/tex]
[tex] \frac{44}{7} [/tex]
Answer:
12.36
Step-by-step explanation:
use your brain
Write the following in standard form. Show all work.
5x – (-2+11x)
YOU CAN, SEE YOU'RE ANSWER IN ATTACHMENTS
help! Which triangle side lengths form a right triangle? Choose all that apply.
O5, 6, 7
6, 8, 14
8, 15, 17
10, 12, 15
15, 20, 25
16, 18, 20
Answer:
Your answer would be C (8,15,17) and E (15, 20,25)
Step-by-step explanation:
:)
A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decre
Complete question is;
A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decrease in the proportion of
tomatoes suffering frost damage for tomatoes sprayed with kelp extract? To determine
this, yo u test the hypotheses H0: p1 = p2, Ha: p1 < p2. The p - value of your test is
A) greater than 0.10.
B) between 0.05 and 0.10.
C) between 0.01 and 0.05.
D)between 0.001 and 0.01.
E) below 0.001.
Answer:
B) between 0.05 and 0.10.
Step-by-step explanation:
We are given;
Number of plants in group that exhibited damage = 12
Number of group 1 plants; n₁ = 50
Number of plants in group 2 that exhibited damage = 18
Number of group 2 plants; n₂ = 50
Proportion of plants in group 1 that exhibited damage; p₁^ = 12/50 = 0.24
Proportion of plants in group 2 that exhibited damage; p₂^ = 18/50 = 0.36
Pooled proportion; p¯ = (12 + 18)/(50 + 50) = 0.3
q¯ = 1 - p¯
q¯ = 1 - 0.3 = 0.7
Z-score will be;
z = ((p₁^ - p₂^) - 0)/√((p¯•q¯)×((1/n₁) + (1/n₂))
Plugging in the relevant values;
z = (0.24 - 0.36)/√((0.3 × 0.7) × ((1/50) + (1/50))
z = -0.12/0.092
z = -1.3
From z-distribution table attached, we have;
p-value = 0.0968
Correct answer is option B.
What is the area of this circle? (use 3.14 for ).
1248.12^2
15393.8^2
5930.12^2
3846.12^2
Can someone plz help
Answer:
47.3
Step-by-step explanation:
A triangles angles add up to 180 degrees
At 42.7 and 90 and you get 132.7
Subtract 132.7 from 180 and you get 47.3 degrees.
Answer:
A. 47.3°
Step-by-step explanation:
The sum of all the angles in a triangle equals 180°, so we need to subtract 42.7° and 90° from 180° to get ∠N.
180° - 90° - 42.7° = 47.3°
∠N = 47.3°
Susie has a cylindrical candle mold with a height of 10 inches and a radius of 5 inches. Find the volume of the candle in terms of
7T
Given the graph and the equation y = 2x2 - 8x + 3. which one has the smaller minimum and by how much?
A)
The graph by 6 units
B)
The graph by 70 units
C)
The equation by 2 units
D)
The equation by 5 units
Answer:
c
Step-by-step explanation:
y=2(2)2-8(2)+3
=8-16+3
=-8+3
=-5
Answer:
c
Step-by-step explanation:
i did the prep
Find the arc length of the shaded arc below
Answer:
6.123
Step-by-step explanation:
I found it is 6.123
please please help please please help please please help please please help please please help
Boris starts to use the standard algorithm to solve 86\times986×986, times, 9. His work is shown below.
\begin{aligned} \overset{\blueD{y}}8\overset{}6&\\ \underline{{} \times \phantom{~~~~} 9}&\\ 4& \end{aligned}
Answer:
5
Step-by-step explanation:
You have to do 6×9 first and since that is a two digit number (gives 54), you have to bring the 5 up to the top in the place of y and add that to the product of the next two numbers you multiply.
select the expression that is equivalent to (x-3)^2
Answer:
x² - 6x + 9
Step-by-step explanation:
(a - b)² =a² - 2ab + b²
a = x and b = 3
(x - 3)² = x² - 2*x*3 + 3²
= x² - 6x + 9
Answer:
x^2-6x+9
Step-by-step explanation:
Hope this helped!!!
If the bill for dinner at a restaurant is $65.00, what is the total bill with a 15% tip?
Answer:
$74.75 is the total bill.
8 1/3 x 4/5 HELLLLLLP MEEEEEE
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
When one multiplies fractions, one must first ensure that both fractions are in the improper fraction format. This can be done by multiplying the number next to the fraction by the denominator of the fraction then adding the result to the numerator,
[tex]8\frac{1}{3} * \frac{4}{5}\\\\= \frac{24+1}{3} * \frac{4}{5}\\\\= \frac{25}{3}*\frac{4}{5}[/tex]
Now cross simplify, remove factors that the numerator and denominator have in common,
[tex]\frac{5}{3}*\frac{4}{1}[/tex]
Finally, multiply, multiply the numerator of the first fraction with the numerator of the second fraction, and the denominator of the first fraction with the denomaintor of the second fraction.
[tex]\frac{20}{3}[/tex]
Convert the result to a mixed number. This can be done by dividing the numerator by the denominator, write the result to the left of the fraction, and the remainder as the numerator,
[tex]6\frac{2}{3}[/tex]
19. What is the solution to 5.2x = 31.2? *
Answer:
x=6
Step-by-step explanation:
hope this helps
what does x equal to in this problem
Using the triangle, we can find the angle lengths and using those and trig ratios, find the side lengths. Lets say the top side length is "y".
Using the Law of triangles, we can find the missing angle from 180-90-70=20 deg.
Then we can use the Law of sines,
sin(70)/13=sin(20)/y
y=sin(20)*13/sin(70)
y=15.34
Finally, we use the Pythagorean Theorem, (13)^2+(15.34)^2=x^2
x = 20.1
------------
20.1
----------
are given the sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3) A:name the communities A and B B:describe the community A n B
Answer:
A n B = {6}
Step-by-step explanation:
Given he sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3)
A = {2, 4, 6, 8}
B = {3, 6, 9, 12, 15...}
A n B includes the numbers are are common to both sets i.e number that we can find in both A and B.
From the set given, we can see that the only number that exists in both set is 6, hence;
A n B = {6}
ok ok last question which one
Answer:
answer is x=6 .
Step-by-step explanation:
10+(50×5)=260
10+(50×6)=310
10+(50×7)=360
so 10+300= 310 showing it 310 is greater that or equal to 50×6+10=310
Answer:
<
Step-by-step explanation:
Find the 50th term of this arithmetic sequence
6, 13, 20, 27 ...
Answer:
349
Step-by-step explanation:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
n = 50 [tex]a_{1}[/tex] = 6 d = 13 - 6 = 7
[tex]a_{50}[/tex] = 6 + (50 - 1)(7)
= 6 + 49(7)
= 6 + 343
= 349
Answer:
formula as mentioned above...
Step-by-step explanation:
N=50,a=6,d=difference between no. that is 8
so,
x50=6+8(50-1)
x50=6+8(49)
x50=6+392=398 Answer
hope it helps....
please write 50 on the correct position of N as drawn in picture
Hilton Head Island is about 12 miles long. Susan has a map that shows the island. If the scale on the map is 1 inch = 1/2 mile, what is the length of the island on Susan's map?
Answer:
20 inches long
Step-by-step explanation:
if 1inch=1/2 miles
then,1/2×12
___________
1
=1/2×12
=24 inches
Classify this triangle by its sides and angles.
Answer:
acute and scalene triangle ig
Answer:
Obtuse and Scalene.
Step-by-step explanation:
We know its scalene because each side is a different length. We also know that its an obtuse triangle by looking at it and understanding that 1 of the angles is larger than 90˚, making it obtuse.
The number of square units needed to cover a flat surface is the
Answer:
Area
Step-by-step explanation:
That's the definition of area.
Find the surface area of each figure.
Answer:
1=21yds. 2.=16m 3.=16ft 4.=3cm
8÷2(2+2) This is 16 not 1
Step-by-step explanation:
8÷2(2+2) = 8.
2(2 + 2)
= 8.
4 + 4
= 8.
8
= 1
Answer:
using BODMAS
The answer is 1
Step-by-step explanation:
Bracket Order Division Multiplication Addition and Subtraction
-7,-5 and 2,-8. find the slope between the two points.
Answer:
m=-8-(-5)/2-(-7)
m=-3/9
Simply to get m=-1/3
Step-by-step explanation:
OK YA I NEED HELP PLS
Answer:
HI
Step-by-step explanation:
hihihihihihihihihihihi
If laura bought 2.1 pounds of apples is the price per pound of apples greater than or less than $1? How can you tell?
Answer:
The price per pound of apples is greater than $1.
Step-by-step explanation:
Three coworkers decided to buy fruit to share at lunchtime. Antonii spent $1.47 on bananas. Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1? how can you tell?
To find the price of apples per pound, we need to divide the total amount paid by Laura ($2.88) with the total pounds of apples (2.1 pounds) bought.
Price of apples per pound = $2.88/2.1
price of apples per pound= $1.37142857
Since the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.
We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1. So when we will divide 2.88 by 2.1, then we will get a number greater than 1.
(hope this helps can i plz have brainlist :D hehe)
The cost of one pound of apple is $1.37.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Laura spent $2.88 on apples.
If Laura bought 2.1 pounds of apples
Cost of 1 pound apple =2.88/2.1
= $1.37
1.37>1
Therefore, the cost of one pound of apple is $1.37.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ5
"Your question is incomplete, probably the complete question/missing part is:"
Three coworkers decided to buy fruit to share at lunch time. Antoni spent $1.47 on bananas. Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1 ? how can you tell?
Find the area of the shaded region. Round to the nearest tenth if necessary.
22 cm
15 cm
31 cm
Answer:
[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]
I will give you BRAINLIEST for the correct answer
Answer:
a or b
Step-by-step explanation:
if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all
Step-by-step explanation:
If you realise, the quadrilateral is made up of 2 triangles,
therefore the area = 2 x 1/2 x base x height
[tex] = 2 \times \frac{1}{2} \times 12 \times 4 \\ = 12 \times 4 \\ = 48 {units}^{2} [/tex]