Answer:
Step-by-step explanation:
hello :
the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2 = r
the nth term is : An =A1 × r^(n-1)
a common ratio is : r and A1 the first term
in this exercice : r =2 A1 = 1/16
when : n =12 you have the 12rd term A12
A12 = 1/16 × 2^(12-1) = 1/16 × 2^(11)
what percent of 29 is 3 in equation form
Answer:
3=p*29
Step-by-step explanation:
Answer:
0.87
Step-by-step explanation:
(29×3) ÷ 100
but I'm not sure):
Footlocker in the mall is having a 25% off sale on all tennis shoes. Joe paid $67.50 for his
favorite tennis shoes that were on sale. What was the original price of the shoes?
Answer:
The original price of the shoes was $90.
Step-by-step explanation:
25% off means the price Joe paid for it is 75% of the original price.
Set up an equation:
75/100 = 67.50/x
Cross multiply
75 × x = 100 × 67.50
75x = 6750
x = 90
Check our work:
First solve for 25% off of 90 (our answer).
25% = 0.25
90 × 0.25 = 22.50
Next, subtract the discount from 90.
90 - 22.50 = 67.50
67.50 was what Joe paid so this is correct.
What is the approximate volume, in cubic inches, of a basketball with a diameter of 9 inches?
O 3,053.63
O 858.91
О 214.71
O 381.70
Answer:
858.91
Step-by-step explanation:
Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
9514 1404 393
Answer:
193.5 square units
Step-by-step explanation:
The area formula for this situation is ...
A = 1/2Pa
where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...
A = (1/2)(5×10.6)(7.3) = 193.45
To the nearest tenth, the area is 193.5 square units.
Brianna earns $19,500 per year. Lisa earns $1000 per month. Write a numerical expression that represents how much more Brianna earns per year than Lisa
Answer:
$19,500 - $1000
Step-by-step explanation:
the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns
$19,500 - $1000 = $18,500
Carol is on the school track team. To prepare for upcoming race,he plans to run 217 miles total over the next 31 days.
Cos Y=?
5/13
5/12
12/13
Answer:
Cos Y = 12/13
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos Y = Adjacent/Hypotenuse
Reference angle = Y
Adjacent = 12
Hypotenuse = 13
Therefore:
Cos Y = 12/13
please help ASAPPPPP 13 points
Answer:
x^5/3y^1/3- 2nd option
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just divide the exponent by 3
Kaitlyn sells mini donuts by the box size. The amount of space in the boxes is known as the ________. A. Volume B. Area C. Perimeter
Answer: Area
Step-by-step explanation:
god bless
Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.
Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?
(A) |--20 – 12
(B) |--20 + 12
(C) 20 – 12
(D) -20 + 12
Answer: B
Step-by-step explanation:
Adrian is thinking of different decimal numbers. He gives the following clues
- Each decimal is smaller than 1
- The tenth digits in each decimal is odd.
- when the decimals are converted to fractions, the numerators total 15.
what decimal numbers could adrian be thinking of? find all the possibilites.
Answers:
Some possible answers are: 0.15, 0.3, and 0.75
Step-by-step explanation:
[tex]0.15=15/100[/tex]
[tex]0.3=15/50[/tex]
[tex]0.75=15/20[/tex]
Answer the question in the pic
Answer:
no
Step-by-step explanation:
using Pythagoreans theorem
a^2+b^2=c^2
3^2+5^2≈6^2
9+15=34
not 36 so no
Answer :
Here, It is stated that the triangle having sides 3, 5 and 6 respectively. So, we have to prove that whether the given triangle is right angled triangle or not.
For That :
We will be using the Pythagoras Theorem
Given Sides :- Side - A → 3 Side - B → 5Side - C → 6According to the Pythagoras Theorem , the sum of the square of Base side and perpendicular side is equal to the square of the longest side i.e, hypotenuse.
Pythagoras Theorem :
⠀⠀⠀⠀⠀⠀[tex]{\bullet \: {\boxed{\sf {AC^{2} = AB^{2} + BC^{2}}}}} \\ \\ [/tex]
So, here the longest side is Side A of measurement 6.
So, Now
Applying Pythagoras Theorem in it, we get :
The three sides , so let's plug the values in the formula :-
[tex]\dashrightarrow\:\:\sf AC^{2} = AB^{2} + BC^{2}\\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 6^{2} = 3^{2} + 5^{2}\\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 36 = 9 + 5^{2}\\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 36 = 9 + 25 \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 36 \neq 34 \\ \\[/tex]
[tex]{\underline{\sf {L.H.S \neq R.H.S}}} \\ [/tex]
If in a triangle, the square of the hypotenuse is not equal to the sum of the squares of the other two sides, then the given triangle and doesn't satisfy pythagoras theorem. Hence, Its not a right angled triangle.
The law of large numbers tells us that the distribution of a large random sample should resemble the distribution from which it is drawn.
a. True
b. False
Answer:
b. False
Step-by-step explanation:
The law of large numbers, in statistics, says that the experimental average found in a large number of trials should be very close to the theoretical probability. It does not say anything about distribution. So the answer to this question is False, which is given by option b.
If Jacob's salary of $2,100 per month is increased by 5%, what is her new monthly salary?
Answer:
2,205
Step-by-step explanation:
Please help
Which of the following...
Answer:
<7
Step-by-step explanation:
Answer:
<7
Step-by-step explanation:
I think anything across wouldnt be congruent
If you car gets 25 mpg (miles per gallon), how many gallons do you need to buy to drive 375 miles?
Answer:15
Step-by-step explanation:
375/25=15
Answer:
The answer is 15.
375 ÷ 25 = 15.
Hope this helps!!
The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
Hope it helps :)
Answer:
Step-by-step explanation:
Width = w
Length = 2w + 8
Area of rectangular garden = 280 square meter
length * width = 280
(2w + 8 ) *w = 280
2w * w + 8*w = 280
2w² + 8w = 280
2w² + 8w - 280 = 0
Divide the whole equation by 2
w² + 4w - 140 = 0
w² + 14w - 10w - 14 *10 = 0
w(w + 14) - 10(w + 14) = 0
(w + 14)(w - 10)= 0
w - 10 = 0 {Ignore w + 14, as measurements will not be -ve}
w = 10 m
l = 2*10 +8
= 20 +8
l = 28 m
Find the quotient (X^2+x-20)(x-4)
Answer:
x + 5
Step-by-step explanation:
[tex]\frac{x^{2} +x-20}{x-4}[/tex]
[tex]\frac{(x-4)(x+5)}{x-4}[/tex]
x + 5
Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients Standard Error t Stat p-value Intercept −0.81 0.36 −2.25 0.0293 x 2.94 1.20 2.45 0.0182 d1 −13.00 16.25 −0.80 0.4278 d2 5.52 1.50 3.68 0.0006 a. Compute yˆ for x = 262, d1 = 1, and d2 = 0; compute yˆ for x = 262, d1 = 0, and d2 = 1. (Round your answers to 2 decimal places.) yˆ x = 262, d1 = 1 and d2 = 0 x = 262, d1 = 0 and d2 = 1
Answer:
The answer is "789.03 and 806.16".
Step-by-step explanation:
[tex]y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)[/tex]
For point a:
Calculating the value for [tex]y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)[/tex]
[tex]= -0.45 + 801.36 -11.88 + 0\\\\= 789.03[/tex]
For point b:
Calculating the value of [tex]y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)[/tex]
[tex]= -0.45 + 801.36 -0 + 5.25\\\\= 806.16[/tex]
7 x what = 315?????????????
Answer:
7 × x = 315
x = 315 ÷ 7
x = 45
45 is the answer.
Answer:
45
Step-by-step explanation:
315 ÷ 7 = 45
22. A figure is shown.
8x
7x
44.40
What is the measure, in degrees, of the highlighted angle?
Answer: 9.04
Step-by-step explanation:
A farmer, Mrs. Many, grows and sells two popular varieties of tomatoes: Better Boy tomatoes and Big Beef tomatoes. Both varieties of tomato take about 75 days to mature. She is designing a study to test the effectiveness of a new soil additive to increase tomato growth. She has 40 Better Boy tomatoes and 60 Big Beef tomatoes for her experiment.
Required:
a. Preliminary research suggests that Better Boy tomatoes and Big Beef tomatoes respond differently to the additive. What sort of experimental design would you choose for this study, and why?
b. Explain why an experiment involving 40 Better Boy tomatoes and 60 Big Beef tomatoes is preferable to one involving 4 Better Boy tomatoes and 6 Big Beef tomatoes.
c. Describe a design for this experiment. Be sure to include a description of how you assign individuals to the treatment groups.
Answer:
I believe the answer is B tell me if I'm correct please
Lauren bought 4 bags of popcorn for $3. What is the unit rate per bag of popcorn?
18. A balloon artist wants to make 6 different
kinds of balloon animals. She needs
4 balloons to make each animal. If the
balloons come in packs of 8, how many
packs will she need to buy?
Answer:
She need 3 packs of balloons
Which of the following is NOT a negative result of unemployment?
A. promotion
B. anxiety
C. depression
D. subsidized housing
Answer: A
Step-by-step explanation: Promoting somebody is not a bad result of unemployment it might just mean you got transferred to another store.
Chrissy said, "on summer vacation i spent 2 1/2 weeks with my uncle and three weeks more with my aunt than with my uncle." How many weeks did she spend with her uncle and her aunt? Use fraction strips or number lines to find the sum.
What is the length of BC?
5
12
A.7
B.12
C.13
D.17
Answer:
its A. 7
Step-by-step explanation:
A cartographer used a scale of 1 inch:300 meters for the heights of different mountains. If the actual height of one of those mountains is 3,600 meters, what is its height on the map?
Answer:
The height on the map is of 12 inches.
Step-by-step explanation:
Scale of 1 inch:300 meters
This means that each inch on the map represents 300 meters of real height.
If the actual height of one of those mountains is 3,600 meters, what is its height on the map?
Using proportions, by a rule of three:
1 inch - 300 meters
x inches - 3600 meters
Applying cross multiplication:
[tex]300x = 3600[/tex]
[tex]x = \frac{3600}{300}[/tex]
[tex]x = 12[/tex]
The height on the map is of 12 inches.
Find y
Round to the nearest tenth:
28°
X
350 ft
y
y = [ ? ]ft
Enter
Answer:
y = 658.3 ft
Step-by-step explanation:
Angle of depression = angle of elevation = 28° (alternate angles are congruent)
Reference angle = 28°
Side length opposite to reference angle = 350 ft
Adjacent = y
Apply trigonometric function, TOA:
Tan 28 = Opp/Adj
Tan 28 = 350/y
y*Tan 28 = 350
y = 350/Tan 28
y = 658.254263 ≈ 658.3 ft (nearest tenth)
A circular clock with a circumference of 88cm is mounted on a wall.How much area of a wall didn't occupy
Answer:
616 cm^2
Step-by-step explanation:
Steps to derive the answer
1. we are going to first determine the radius from the circumference
2. we would calculate the area
Circumference of a circle = 2nr
n = 22/7
r = radius
88 = 2 x 22/7 x r
Divide both sides of the equation by 2 x 7/22
r = 14
Area of a circle = nr^2
3.14 x 14^2 = 616 cm^2