Answer:
a) 0
b) 1
c) 0
Step-by-step explanation:
These are common values from the unit circle but you could also just check with your calculator. Just be sure to set it to degree mode and not radian mode.
what is the 8th term of the geometric sequence with this explicit formula ?
Answer: C.) - 896
Step-by-step explanation:
Given the explicit formula :
An = 7 × (-2)^(n-1)
The 8th term of the geometric sequence using the formula will be :
n = 8
A8 = 7 × (-2)^(8-1)
A8 = 7 × (-2)^7
A8 = 7 × (-128)
A8 = - 896
Calcule o valor dos produtos a) (-4). (-7/8) b) (-4). (-7/8) n sei pq tá repetido tá aqui na folha ;-; c) (-4).(+ 3,5) d) (-2).(-3/4). (-1/7) PRA HOJEE
Answer:
a) (-4). (-7/8) = 28/8
b) (-4). (-7/8)= 28/8
c) (-4).(+ 3/5) = -12/5
d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28
Step-by-step explanation:
a) (-4). (-7/8) = 28/8
b) (-4). (-7/8)= 28/8
c) (-4).(+ 3/5) = -12/5
d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28
É repetido talvez com sinal alterado para mostrar a diferença na resposta. Se o sinal for alterado, a resposta também se tornará negativa. Seria - 28/8.
Quando um número negativo é multiplicado por um número negativo, obtém um número positivo. Mas quando um número positivo é multiplicado por um número negativo, dá uma resposta negativa.
Sempre se lembre
negativo * negativo = positivo
positivo * negativo = negativo
negativo * positivo = negativo
positivo * positivo = positivo
Em palavras simples, dois sinais diferentes dão um sinal negativo e dois sinais semelhantes dão um sinal positivo na multiplicação.
English
a) (-4). (-7/8) = 28/8
b) (-4). (-7/8)= 28/8
c) (-4).(+ 3/5) = -12/5
d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28
Its repeated maybe with a changed sign to show the difference in the answer. If the sign is changed the answer would also become negative . It would become - 28/8.
When a negative number is multiplied with a negative number it gives a positive number. But when a positive number is multiplied with a negative number it gives a negative answer.
Always remember
negative * negative= positive
positive *negative=negative
negative *positive =negative
positive * positive = positive
In simple words two unlike signs give a negative sign and two similar signs give a positive sign in multiplication.
answer pls in the pic
Answer:
Hey there!
6 increased by a scale factor of 1.5 is 9.
9 increased by a scale factor of 1.5 is 13.5.
Thus, the area would be 9 times 13.5, or 121.5
Hope this helps :)
Answer:
121.5 [tex] {in}^{2} [/tex]Step-by-step explanation:
Let's find the enlarged area:
[tex] = {(scale \: factor)}^{2} \times original \: area[/tex]
Plug the values
[tex] = {(1.5)}^{2} \times 6 \times 9[/tex]
Evaluate the power
[tex] = 2.25 \times 6 \times 9[/tex]
Calculate the product
[tex] = 121.5 \: {in}^{2} [/tex]
Hope this helps...
Best regards!!
Help me with these 2 questions please
Answer:
1st one= B 25 cents
2nd one= D 2 miles
Step-by-step explanation:
1.
8x3=24
6/24=25
= 25 cents
2.
1.6 km= 1 mile
so 1/2 of a mile =
0.8 km
1/4 of an hour = 15 minutes
0.8km= 15 minutes
15x3= 45 minutes
0.8km x 3= 2.4km
2.4km = 2 miles
hope it helps hunney xx
GRADE
Perimeter: Change in Dimensions
A rectangle ABCD has a width of 3 inches and a length of 7 inches.
a) What is the Perimeter of the rectangle?
BINDEX
b) What is the Perimeter of the new rectangle if you double the width of rectangle ABCD? How did you find
it? How many times bigger or smaller did the new Perimeter get? (You can divide the new Perimeter over the
old one to find the times of increase/decrease)
c) What is the Perimeter of the new rectangle if you double the width and length of rectangle ABCD? How did
you find it? How many times bigger or smaller did the new Perimeter get compared to the perimeter of
rectangle ABCD?
d) Now choose a different shape of your liking and give it your own dimensions. Answer questions a), b), c)
and d) for the shape you chose.
e) Can you generalize what happens to the Perimeter if you change one of the dimensions of a shape and
what happens when you change both dimensions of the shape?
lick "Create lournal Fntn" tn antar un
Answer:
A) 20 in
B) 26 in and it got bigger by 1.3 times
C) 40 in and it got bigger by 2 times
Step-by-step explanation:
A) so the formula for finding perimeter is P= 2(L+W) so its (3+7)*2 = 20
B) if you double 3, 3*2=6 then it is 2*(6+7) = 26. 26/20= 13/20= 1.3 times more
C) if you double 3, 3*2=6 and 7, 7*2= 14 then it is (14+6)*2 = 40. 40/20=2/1 = 2 times more.
Also i couldnt solve D for you but try to solve it using what I wrote below.
Hope it helps :)
A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.
If the study were conducted repeatedly (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses?
a. Different sample proportions would result each time, but for sample size 100 they would be centered (have their mean) at the true population proportion, whereas for sample size 900 they would not.
b. For either sample size, using the same size each time, as long as the sampling is done with replacement, their mean would be 0.
c. Different sample proportions would result each time, but for sample size 900 they would be centered (have their mean) at the true population proportion, whereas for sample size 100 they would not.
d. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
answer:
choice letter b
Which of these r-values represents the strongest correlation?
A. -0.7
B. -0.8
C. -0.6
D. -0.5
I guess the answer is D because it is the most far from -1 rather than the other
Answer: The answer should be D.-0.5
Please help me with this question regarding TRIGONOMETRY!
Answer:
The answer is option 2.
Step-by-step explanation:
First, you have to find the length of CD using Tangent Rule, tanθ = opposite/adjacent:
[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]
[tex]let \: θ = 48[/tex]
[tex]let \: oppo. = cd[/tex]
[tex]let \: adj. = ad = 110[/tex]
[tex] \tan(48) = \frac{cd}{110} [/tex]
[tex]cd = 110 \tan(48)[/tex]
[tex]cd = 122.17 \: feet[/tex]
Next, you have to find the length of BC using Sine Rule:
[tex] \sin(θ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: θ = 65[/tex]
[tex]let \: oppo. = cd = 122.17[/tex]
[tex]let \: hypo. = bc[/tex]
[tex] \sin(65) = \frac{122.17}{bc} [/tex]
[tex]bc = \frac{122.17}{ \sin(65) } [/tex]
[tex]bc = 134.8 \: feet \: (near.tenth)[/tex]
Answer:
[tex]\boxed{134.8 \: \mathrm{ft}}[/tex]
Step-by-step explanation:
Let’s take triangle ACD.
Find length CD.
tan θ = [tex]\frac{opposite}{adjacent}[/tex]
tan (48) = [tex]\frac{CD}{110}[/tex]
110 tan (48) = CD
CD ≈ 122.167
Let’s take triangle BCD.
Find length BC.
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
sin (65) = [tex]\frac{122.167}{BC}[/tex]
BC = [tex]\frac{122.167}{sin(65)}[/tex]
BC ≈ 134.796
A bus traveled 40 miles during the second hour of a trip. This was 1/3 more than the distance traveled during the first hour. In the third hour the bus traveled a distance that was 1/4 more than in the second hour. What was the total distance that the bus traveled in 3 hours
Answer:
120 miles
Step-by-step explanation:
Distance in 2nd hour: 40 miles
Distance in 1st hour:
40/(4/3) = 30 miles
Distance in 3rd hour:
(5/4) * 40 = 50 miles
Total distance:
40 + 30 + 50 = 120 miles
If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).
Answer:
f(x) = 3x⁴ - [tex]\frac{2X^{3} }{3}[/tex] - 17x + [tex]\frac{68}{3}[/tex]
Step-by-step explanation:
To find f'(x), we will follow the steps below:
We will start by integrating both-side of the equation
∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx
f(x) = 3x⁴ - [tex]\frac{2X^{3} }{3}[/tex] - 17x + C
Then we go ahead and find C
f(1) = 8
so we will replace x by 1 in the above equation and solve for c
f(1) = 3(1)⁴ - [tex]\frac{2(1)^{3} }{3}[/tex] - 17(1) + C
8 = 3 - [tex]\frac{2}{3}[/tex] - 17 + C
C =8 - 3 + 17 + [tex]\frac{2}{3}[/tex]
C = 22 + [tex]\frac{2}{3}[/tex]
C =[tex]\frac{66 + 2}{3}[/tex]
C = [tex]\frac{68}{3}[/tex]
f(x) = 3x⁴ - [tex]\frac{2X^{3} }{3}[/tex] - 17x + [tex]\frac{68}{3}[/tex]
What type of right triangle would you use this formula for and why?
c=2a
Answer:
30 60 90 triangle
the hypotenuse is twice the length of the shorter leg length.
What is the value of r? What is the length of EB?
Answer:
r=9
EF = 55
Step-by-step explanation:
CF = ED
9r - 6 = 8r+3
Subtract 8r from each side
9r-8r - 6 = 8r-8r+3
r-6 =3
Add 6 to each side
r-6+6 = 3+6
r = 9
EF= CD = 4r+19
= 4*9+19
=36+ 19
=55
HELLLPPPP I need a explication on whether or not these angle relationships are possible
Answer:
Step-by-step explanation:
5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180
Answer:
no, the values would be above 180º
Step-by-step explanation:
if...
(4x - 9) + (2x + 3) + y = 180
(5x + 30) + y = 180
then...
(4x - 9) + (2x + 3) = 5x + 30
so...
6x - 6 = 5x + 30
x = 36
plug it in.
4(36) - 9 = 135
2(36) + 3 = 75
already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.
Pleas answer it now in two minutes
Answer:
30
Step-by-step explanation:
cos^-1(square root of 3 divided by 2)
You’ve just moved into a new home and are decorating it with furniture. You head to Target and see a dining room table for $425, but everything is on sale for 20% off. What is the amount of the discount? What is the cost of the table after the discount?
Answer:
Amount of Discount: 85, Discounted cost of item: 340
Step-by-step explanation:
You Start by dividing the main price of the item by 100
You then multiply your answer from that by however much the discount is.
We divide by 100 because there is 100 percent when you are paying full price, dividing by 100 gives you the amount that is equal to 1 percent of that price
You then multiply the answer from that by 20, this will give you 20% of the full price, this will give you a discount of 85 Dollars.
To find the Discounted price you then subtract 85 from 425 and you will have an answer of 340 dollars. Hope this helps!
Mr. Johnson has $15,000 to invest. Part of it is put in the bank at 4 percent, and part he puts in a savings and loan at 7 percent. If his yearly (simple) is $951, how much did he invest at each rate?
Answer:
$3300 at 4%
$11700 at 7%
Step-by-step explanation:
Total investment = $15000
Total simple interest on investment = $951
Investment A:
Rate = 4% =0.04
Investment B:
Rate = 7% =0.07
Simple interest (S. I) = principal * rate * time
(S. I on investment A + S. I on investment B)
Let principal amount in investment A = A
principal amount in investment B = B
(A * 0.04 * 1) + (B * 0.07 * 1) = $951
0.04A + 0.07B = $951 - - - - (1)
A + B = $15000 - - - - (2)
from (2)
A = 15000 - B
Substitute A = 15000 - B into (1)
0.04(15000 - B) + 0.07B = 951
600 - 0.04B + 0.07B = 951
600 + 0.03B = 951
0.03B = 951 - 600
0.03B = 351
B = 351 / 0.03
B = $11700
From (2)
A + B = $15000
A + $11700 = $15000
A = $(15000 - 11700)
A = $3300
Mrs.joshi bought a saree for Rs 1750.she sold it at a profit of 4%.what would be her profit or loss percent ?
Answer: Rs 1820
Step-by-step explanation:
This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750. Thus, simply do 1.04*1750 to get 1820.
Hope it helps <3
2) The senior classes at High School A and High School B planned separate trips to the local
amusement park. The senior class at High School A rented and filled 2 vans and 14 buses with
294 students. High School B rented and filled 3 vans and 7 buses with 161 students. Each van
and each bus carried the same number of students. Find the number of students in each van and
in each bus.
A) Van: 9, Bus: 28 B) Van: 11, Bus: 27
C) Van: 20, Bus: 7 D) Van: 7, Bus: 20
Answer:
D) Van: 7, Bus: 20
Step-by-step explanation:
Add the amount of students together (455 students in total)
Then I added the amount of buses and vans together (5 Vans and 21 Buses)
Then I plugged in each answer
5 x 7 = 35
455 - 35 = 420
420 / 21 = 20
please heLp :’) thank you
Answer:
A
Step-by-step explanation:
Just like in the last problem, we have a right triangle but in this case, x is a leg, 10 / 2 = 5 is the other leg, and 13 is the hypotenuse. Using the 5 - 12 - 13 Pythagorean Triple, we know that x = 12.
how would you solve for x here
Answer:
x=-1.30068.......
Step-by-step explanation:
x( 3x^2 - 2) = -4
Distribute
3x^3 - 2x = -4
Add 4 to each side
3x^3 - 2x +4 = 0
Plot using a graphing calculator
x=-1.30068.......
Small roads with lower speed limits are known as:
O A. interstate highways.
O B. secondary roads.
C. streets
O D. county roads.
Answer:
B. secondary roads
Step-by-step explanation:
While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...
secondary roads.
Please answer this question now
Answer:
e =7.1
Step-by-step explanation:
[tex]Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1[/tex]
What the answer now fast
Answer:
45°
Step-by-step explanation:
This is right triangle with equal legs of √31
Since two sides are equal and the angle between them is 90°, other angles are equal and their value is:
(180°- 90°)/2= 45°Answer is m∠V= 45°
What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?
Hi,
Answer:
[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°
Have a good day.
HELP! 8TH GRADE MATH. I WILL NAME BRAINLIEST!!!
Answer:
Step-by-step explanation:
y = -|x| + 1
Start with the absolute value function: y = |x|. Reflect it over the x-axis by making it y = -|x|. Finally, shift up 1 unit by adding one, getting a final answer of y = -|x| + 1.
The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions of the rectangle. length and width.
Answer:
Length = 12 ftWidth = [tex] \frac{7}{2} ft[/tex]
Step-by-step explanation:
Given,
Area of rectangle = [tex]42 \: {ft}^{2} [/tex]
Width = X
Length = 2x + 5
Now,
[tex]x(2x + 5) = 42[/tex]
[tex]2 {x}^{2} + 5x = 42[/tex]
[tex]2 {x}^{2} + 5x - 42 = 0[/tex]
[tex]2 {x}^{2} + 12x - 7x - 42 = 0[/tex]
[tex]2x(x + 6) - 7(x + 6) = 0[/tex]
[tex](2x - 7)(x + 6) = 0[/tex]
Either
[tex]2x - 7 = 0[/tex]
[tex]2x = 0 + 7[/tex]
[tex]2x = 7[/tex]
[tex]x = \frac{7}{2} [/tex]
Or,
[tex]x + 6 = 0[/tex]
[tex]x = 0 - 6[/tex]
[tex]x = - 6[/tex]
Negative value can't be taken.
So, width = [tex] \frac{7}{2} ft[/tex]
Again,
Finding the value of length,
Length = [tex]2x + 5[/tex]
[tex]2 \times \frac{7}{2} + 5[/tex]
[tex]7 + 5[/tex]
[tex]12[/tex]
Length = 12 ft
Answer:
length = 12 ft, width = 3.5 ft
Step-by-step explanation:
w = width
l = length = 2w + 5
A = wl = w(2w + 5) = 42
2w² + 5w - 42 = 0
(w + 6)(2w - 7) = 0
w + 6 = 0, w = -6 (dimension cannot be negative)
2w - 7 = 0, w = 3.5
l = 2(3.5) + 5 = 12
Help me with 5c-4c+c
5c-4c+c=2c
Step-by-step explanation:
Since there is only addition and subtraction and no other operations, just work from left to right.
5c-4c = c
c+c=2c
Done!
Answer:
2c
Step-by-step explanation:
Because this whole equation consists of numbers with c's and addition and subtraction, you can just add and subtract as if they were regular numbers!
5c-4c+c
c+c
2c
Hope this helped!! :)
If 300men can do a piece of work in 16days,how many men would do 1/5 of the work in 15days?
Answer:
60men
Step-by-step explanation:
300 men - 15 days - 1 work
men? - 15 days - 1/5 of work
When 1 man does 1/5 of work,
how many days needed = (15 × 1/5) × 300 = 900days
Men needed to complete 1/5 work in 15 days = 900 ÷ 15 = 60men
According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your area. What is the expected number of dentist who recommend the brand? What is the standard deviation?
4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.
Brock wants to compete for the featherweight boxing title, but the upper limit for that weight class is 126 pounds. He currently weighs 134 pounds. Brock can lose 3 pounds per day if he does vigorous workouts. The number of days, d, that Brock will need to work out to compete at the featherweight level is represented by the inequality 134 – 3d < 126. Select the fewest number of days he would have to work out to compete at the featherweight level. A. 1 B. 2 C. 3 D. 4 E. 5
Answer:
C. 3
Step-by-step explanation:
Brock weighs 134 pounds, he will lose 3 pounds a day until he is 126 pounds
D will represent the number of days he will work out.
134 - 3d < 126
134 - 3(3) < 126
134 - 9 = 125
125 < 126
3 days
We can say that Brock needs to workout for minimum 3 days to compete at feather weight level.