What is the value of x, tanx=7 to the nearest hundredth?
a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees
the answer is C. 81.87
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
A quadratic function is represented as:
[tex]y = a(x - h)^2 + k[/tex]
The vertex of the quadratic function is given as:
[tex](h,k) = (0,6)[/tex]
So, we have:
[tex]y = a(x - 0)^2 + 6[/tex]
This gives:
[tex]y = ax^2 + 6[/tex]
The quadratic function passes through (-1,-2).
So, we have:
[tex]-2 = a(-1)^2 + 6[/tex]
[tex]-2 = a + 6[/tex]
Subtract 6 from both sides
[tex]a = -8[/tex]
Substitute -8 for a in [tex]y = ax^2 + 6[/tex]
[tex]y = -8x^2 + 6[/tex]
Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]
Read more about quadratic functions at:
https://brainly.com/question/11631534
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
Find the volume of the composite space figure to the nearest whole number.
Answer:
180cm^3
Step-by-step explanation:
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
If g(x) = x^2, find g (3)
Answer:
g(3)=9
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to 3.
Therefore, we can substitute 3 in for x in the equation
g(x)=x^2
g(3)=3^2
Evaluate the exponent
g(3)=3*3
g(3)=9
Jake received a student loan for $12,000. He plans on paying off the loan in five years. At the end of five years, J. Cole have paid $3600 in interest. What is a simple interest rate on the student loan?
Answer:
The simple interest rate on the student loan is 6%.
Step-by-step explanation:
To solve for the simple interest rate, use the formula for total simple interest:
[tex]I = Prt[/tex]
[tex]I[/tex] = total interest paid
P = principal, or starting value
r = interest rate in decimal form
t = time in years
State known values
P = 12,000
t = 5
[tex]I[/tex] = 3,600
Substitute known values and isolate "r"
[tex]I = Prt[/tex]
3,600 = (12,000) (r) (5)
3,600 = (60,000) r
r = 0.06
Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.
0.06 = 6%
∴ The simple interest rate on the student loan is 6%.
Answer=6%
Step-by-step explanation:
Principal(P)=12000
Time(T)=5 yrs
Interest(I)=3600
We have,
I=PTR/100
3600=(12000*5*R)/100
3600*100=60000*R
R=360000/60000
R=6%
Which graph represents -x+ 8y > - 24
Kind of need a picture to help answer the question.
Please Help Now Running out of time! In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?
Answer:
Step-by-step explanation:
C
Answer:
C
Step-by-step explanation:
2/10 1/9
1. A space figure with two parallel and congruent bases can be any of these except a
A cone
B prism
c cylinder
Dcube
Answer:
C. cylinder
Step-by-step explanation:
i hope this help
(9x2+3x-5) - (3x2+4x-10)
Answer:
39
Step-by-step explanation:
I'm assuming x is supposed to be a multiplication sign.
You need to use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
(9x2+3x-5)-(3x2+4x-10)=
(18-15)-(6-40)=
3-(-36)=
3+36=
39
How many triangles exist with the given angle measures?
Answer: An infinite number
We're given angles adding to 180 degrees, so we can generate as many similar triangles with these angles as we like. They'll all have the same shape but different sizes.
Answer:
1
Step-by-step explanation:
Which fraction is greater than 3/5
4/6
6/12
3/8
4/10
Answer:
a.) 4/6
Step-by-step explanation:
3/5 = .6
4/6 = .666666666667
6/12= 0.5
3/8= .375
4/10= .4
Answer: 4/6
Step-by-step explanation:
IT IS THE BIGGEST. :)
2. Use the image below to answer the question.
D
E
F
Using the segment addition postulate, find the length of segment EF.
Answer:
26
Step-by-step explanation:
I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.
The length of line segment EF is 26.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
A ray has one end point and extends indefinitely on the other direction.
A line extends indefinitely on both of it's directions.
From the given data
Line segment DF has a length 38 and line segment DE has a length 12.
To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.
∴ EF = DF - DE
EF = 38 - 12'
EF = 26.
So, the line segment EF has a length of 26.
Learn more about Line segments here :
https://brainly.com/question/25727583
#SPJ6
What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.
Answer: 653.45m²
I got it right thats why
Which of the following inequalities is correct?
Answer:
a < b < c
Step-by-step explanation:
a is -4, which is less than b, at 1, and c at 7.
If this answer is correct, please make me Brainliest!
Answer:
the answer is a it cant not be b,c
if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
Simple Probability - Item 20781
Question 4
Which of the following events has a probability closest to 1?
CLEAR
CHECK
It will snow in July in Phoenix, Arizona.
If you roll a die, it will come up with an even number.
If you flip a coin, it will come up either heads or tails.
The next child born in the United States will be a girl.
O
Answer:
C. If you flip a coin, it will come up either heads or tails.
Step-by-step explanation:
A. My guess is it doesn't rain much in Phoenix in July. A probability of 1 means it will happen for sure, so this is not it.
B. A die has 3 even numbers and 3 odd numbers. The probability of rolling an even number is 3/6 = 0.5. This is not it.
C. If you flip a coin, you either get heads or tails. The probability of heads or tails is 1 since one of the two outcomes will always happen. This is the answer.
D. The probability of the birth of a girl is 1 out of 2, so it is 0.5. This is not it.
Answer:
If you flip a coin, it will come up either heads or tails. It either will fall on heads or tails everytime so that is closest to one.
Step-by-step explanation:
Which number is divisible by 5
A 44
B 125
C 116
D 114
Answer:
B
Step-by-step explanation:
of the following numbers, which has the most factors of 3?
a) 81
b) 270
c) 999
d) 3333
Answer:
81 has the most factors of 3
Step-by-step explanation:
To conclude which of the following options has the most factors of 3, take each of the number's prime factorization, which will help us solve the problem.
( 1 ) 81 is a composite number and is 9 squared. Knowing that 3 squared = 9, we can say that the prime factorization of 81 = 3 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] 3, which can also be denoted as 3⁴.
( 2 ) 270 is a composite number. The exponents in the prime factorization are 1, 3, and 1, and therefore it's prime factorization is - 3 [tex]*[/tex] 5 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 3, composed of 3 3s.
( 3 ) If we put all of it together we have the factors 3 x 3 x 3 x 37 = 999. It can also be written in exponential form, with 3 to the power of 3 - hence having 3 factors of 3.
And finally the value 3333 has the prime factorization of 3 [tex]*[/tex] 11 [tex]*[/tex] 101, and as you can see it has 1 factor of 3. 81, having 4 factors of 3, is present with the most factors, and therefore is our solution.
Number 81 has the most number of factor 3. Option A is correct.
A number from the options to be determined that has the most number of factor 3.
factors can be defined by splitting the value into multipliable values.
Here,
Factors of 81 = 3,3,3,3 Number of factor 3 = 4
Factors of 270 =2,3,3,3,5 Number of factor 3 = 3
Factors of 999 =3,3,11 Number of factor 3 = 2
Factors of 3333 = 3,11 Number of factor 3 = 1
As per the above comparison, 81 has the most number of factor 3.
Thus, Number 81 has the most number of factors 3.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
Stephanie and alejandro
were planning thier wedding.
Stephine saved up four times.
more money than alejandro
because he lost his job at walmart. Together $15,600 How much did each one save ?
steps ?
Answer:
Stephanie saved
Step-by-step explanation:
x+4x=15600
5x=15600
divide by 5 on both sides
you get 3120
since stephanie got 4 times more, you multiply 3120*4 and get 12480
therefore, Alejandro saved 3120
: )
Which has a value closest to 9?
✓99
V83
VIO
V63
Answer:
[tex]\sqrt{83\\}[/tex] has the closet value to 9 bc its 9.11
17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force
Answer: D. Magnetic Force
Step-by-step explanation:
The range isn't compatible from a long distance. Only when close to contact.
Answer:
the answer is magnetic force
hope this helps u
Please help with this
Answer:
C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]
Step-by-step explanation:
Before we start, you can think of the variable "c," as x.
The quadratic formula/equation is:
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4c^2+7c-5=0[/tex]
Plug in the numbers accordingly to the letter associated, like so:
[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]
[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]
[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]
Write a linear equation from a slope and a point
What is the correct answer..
Answer:
64 feet
Step-by-step explanation:
To find the height of the kite we use sin trigonometric ratio.
Let the height of the kite from the ground be x feet.
[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
A circle has a radius of 5/3 units and is centered at (9.2 -7.4)
Write the equation of the Circle.
Answer:
(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2
Step-by-step explanation:
We start with (x - h)^2 + (y - k)^2 = r^2. The center is (h, k) and the radius is r.
Then we have:
(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2
