The triangles below are similar. Find x.
Answer:
x = 1
Step-by-step explanation:
What is the completely factored form of f(x) = 6x3 – 13x2 – 4x 15? (x 1)(6x2 – 19x 15) (x 1)2(2x – 3) (x 1)(3x – 2)(5x – 3) (x 1)(2x – 3)(3x – 5)
The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
How to factor the expression?The expression is given as:
f(x) = 6x³ - 13x² - 4x + 15
Expand the expression
f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15
Rewrite as:
f(x) = 6x³ + 6x² + 15x- 19x² - 19x + 15
Factorize the equation
f(x) = (x + 1)(6x²- 19x + 15)
Expand (6x² - 19x + 15)
f(x) = (x + 1)(6x² - 10x - 9x + 15)
Factorize the expression
f(x) = (x + 1)(2x - 3)(3x - 5)
Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)
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Answer: D
Step-by-step explanation:
At the end of a basketball game the players were given the choice of having a bottle of water or a box of juice of all the players 12 chose a bottle of water which was three over four of the total number of players right and solve any equation to determine p the total number of players at the basketball game
What is the scale factor from Figure AAA to Figure BBB? please 3
Answer:
1:3
Step-by-step explanation:
9:3=3
3.6:1.2=3
A is 3 times greater than B. It means that the scale factor from A to B is 1:3
Select the correct description for the polar function, r = 6 sin
The correct description for the polar function, r = 6sin(θ) is: D. Circle symmetric on the line theta = 0, with a radius of 6.
The conversion of polar coordinates.In Mathematics, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these polar functions:
On the horizontal plane:
x = rcosθ
On the vertical plane:
y = rsinθ
Where:
θ is the angle.r is the diameter of a circle.In conclusion, the correct description for the polar function, r = 6sin(θ) is circle symmetric on the line with an angle (θ) equal to zero (0) and a radius of 6.
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#SPJ1
helppppppppppppppppppppp
Answer:70,470 dollars
Step-by-step explanation:
Answer:
$3 per square foot
Step-by-step explanation:
Find the area of all the surfaces around the rectangle, by multiplying length times width of each side.
Then add all of the answers together and divide by how much the wallpaper cost by square foot, which would be 522/174 which equals 3.
Which piecewise function represents the graph?
Answer:
D
Step-by-step explanation:
If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x > 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.
Hope this helps! :)
A cylindrical gas tank has a volume
of 1,808.64 m². Its height is 9 m. What is its radius?
Answer:
The radius is 32
Step-by-step explanation:
V= πr2h
So,
3.14(18)(x)=1808.64
56.52x=1808.64
= 32.
PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
what is the exact value of tanC
Answer:
tan C = 5/√39
Step-by-step explanation:
tan C = opp/adj
For angle C, the opposite leg is AB, 5.
The adjacent leg is BC, √39.
tan C = 5/√39
The results of a survey of 200 adults are shown in the table?
Answer:
A. [tex]\frac{14}{200}[/tex]
Step-by-step explanation:
There are 200 people in total to choose from, and only 14 of them are 6' and male.
f(x) = (x + 1)(x - 3)(x - 4)
Step-by-step explanation:
[tex]f(x) = {x}^{3} + 6 {x}^{2} + 5x + 12[/tex]
x intercept = -1, 3 and 4
y intercept = 12
A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking a vowel?
Write your answer as a fraction in simplest form
Answer:
[tex]\sf \dfrac{1}{7}[/tex]
Step-by-step explanation:
Given labeled tiles: B, C, D, E, F, G, H
Total number of tiles = 7
Vowels = A, E, I, O and U
⇒ Total number of vowel tiles in bag = 1
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}[/tex]
When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?
x p m y = 8
StartFraction x y Over p m EndFraction = 8
StartFraction x p m Over y EndFraction = 0. 5
StartFraction x Over p m y EndFraction = 0. 5
Answer:
[tex]\dfrac{xy}{pm}=8[/tex]
Step-by-step explanation:
If x varies directly as the product of p and m, and inversely with y, the relation can be written ...
x = k(pm)/y . . . . where k is the constant of proportionality
__
This can be solved for k:
k = xy/pm
For the given values, the value of k is ...
k = (2)(4)/((0.5)(2)) = 8
Then the relation between the variables can be written ...
(xy)/(pm) = 8
Answer:
B
Step-by-step explanation:
The height of a single car on a Ferris wheel is modeled by a cosine function.
The car completes 4 whole rotations in a time period of 27 minutes.
Write a function rule that could model this situation?
The cosine function that can model this real-world scenario is:
f(x) = -106cos (4x) + 106. See how the same is derived below. The full question is also attached.
A Cosine Function is a periodic function that is denoted as Cos x. See the attached image.
The above function is derived as follows:
T = 2π/4 = π/2 = 2π/ω
Therefore, ω = 2π/π/2 = 4
This means f(x)= -106 cos (4x) + 106
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At a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win nothing at all. If the probability of winning nothing is 0.71 and the probability of winning a small stuffed animal is 0.17, what is the probability of winning an inflatable crayon? Express your answer as a decimal.
0.83
0.88
0.29
0.12
Answer:
I got 0.12 edited*
Step-by-step explanation:
Answer:
D) 0.12
Step-by-step explanation:
The max value is 100%.
Add .71 + .17 = .88
Lets change .88 to 88.
100 - 88 = 12
make 12 a decimal.
0.12
SOMEONE HELP THIS IS THE LAST QUSETION I NEED IT FAST QUICK PLS
Answer:
18
Step-by-step explanation:
to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total
12+6+9+13=40
then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage
6÷40=.15=15%
then we multiply 15% by 120
120×.15= 18
Glen surveyed 60 people at a coffee shop. He found that 27 individuals selected iced coffee as their favorite beverage. What is the experimental probability that the next person will select iced coffee as their favorite?
Answer:
45%, 9/20, etc.
Step-by-step explanation:
Well, if it is 27 out of the 60, then you can divide each by 3 to get 9/20. Then, you multiply both by 5, and get 45/100. Therefore, the probability is 45% or 9/20, however you put it.
Question is in photo below.
Answer:
ordered the numbers below from least to greatest
Ascending Order: -√100 , 9 4/11 , 9.46 , 9.5
hope that helped...
4. there are nearly 10 thousand bacteria in the area of one square millimeter. how many bacteria will be there in the area of 12 square millimeter?
Answer:
Around 120,000 bacteria.
Multiply the amount of estimated bacteria by the amount of square millimeters.
[tex]10,000 * 12 = 120,000[/tex]
which of the following expression represents the perimeter of the figure below
Answer:
No picture is displayed
If f(x) = 2x − 9 and g(x) = x2 + 3, what is (f + g)(4)? (1 point)
Group of answer choices
a. 18
b. 20
c. −19
d. −20
Answer:
a. 18Step-by-step explanation:
(f+g)(4) = f(4) + g(4)
= 2(4) - 9 + 4² + 3
= 8 - 9 + 16 + 3
= -1 + 16 + 3
= 15 + 3
= 18
consuela is displaying a cylindrical case on a pedestal. she wants it to be placed so that there is an even amount of space on either side of the case. if the volume of cylinder shown is 1,130.97 cubic inches, how much space will be on either side if its placed on a pedestal that is 18 inches across? round to the nearest inch
The space that will be on either side if its placed on the pedestal of the cylinder that is 18 inches across will be 4.47 inches.
How to compute the dimension?It should be noted that the volume of a cylinder is given as:
= πr²h
We'll then slot the values given into the formula. This will be:
Volume = πr²h
1130.97 = (3.14 × r² × 18)
1130.97 = 56.52r²
r² = 1130.97/56.52
r² = 20
r = ✓20
r = 4.47
In conclusion, the space will be 4.47 inches.
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Please help. Thank you!
Answer:
B
Step-by-step explanation:
When you think about it, turn all the answers upside down and see if any of them look just like the figure you are given
3. Select all the sectors which have an area of 3pi square units.
a)a sector with a radius of 6 units and a central angle of 30 degrees
b)a sector with a radius of 6 units and a central angle of 45 degrees
c)a sector with a radius of 3 units and a central angle of 60 degrees
d)a sector with a radius of 3 units and a central angle of 120 degrees
e)a sector with a radius of 3 units and a central angle of 180 degrees
Answer:
Sector A sector C sector D correct answers
Answer: A, C, D
Step-by-step explanation:
The reason for this is because you plug it in as a fraction to simplify.
Example: 9π/3 simplify to 3π/1 because both divide by 3
The minimum wage in 1975 was $2.00. The minimum wage in 2010 was $7.25. Find the average rate of change of the minimum wage from 1975 to 2010. (Round to nearest hundredth) 0.08 $/yr 0.08 $/yr , 0.08 yr/$ 0.08 yr/$ , 0.15 yr/$ 0.15 yr/$ , 0.15 $/yr
Answer: $0.15/Yr
Step-by-step explanation:
Difference in year 2010- 1975= 35
Range = 7.25 - 2 = 5.25
Per year = 5.25/ 35
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 3/5 miles
Step-by-step explanation:
7 4/5 - 6 1/5
= 7 - 16+ (4/5 - 1/5)
= 1 + 3/5
= 1 3/5
need help with question 16
Answer:
C)
Step-by-step explanation:
u = x + 1
u - 1 = x
[tex]\int\limits {\dfrac{x}{\sqrt{x+1}}} \, dx = \int\limits {\dfrac{u-1}{\sqrt{u}}} \, du \\\\[/tex]
[tex]=\int {\left(\dfrac{u}{u^{\frac{1}{2}}}-\dfrac{1}{u^{\frac{1}{2}}} \right )\, du \\\\ = \int {u^{1-\frac{1}{2}}-1*u^{\frac{-1}{2}}} \, du\\\\ =\int {(u^{\frac{1}{2}}-u^{\frac{-1}{2}})} \, du[/tex]
Gerald would like to add a dental and vision option to the health insurance plan he purchased through his employer. in addition to the 65% of gerald’s $345 monthly health insurance premium, his employer has offered to pay 50% of a $38 monthly dental premium and 75% of a $23 monthly vision premium. if gerald adds both the dental and vision options to his insurance plan, how much will he pay each month towards health insurance? soopergood insurance option monthly premium employer contribution health insurance $345 65% dental $38 50% vision $23 75% a. $141.75 b. $145.50 c. $149.50 d. $260.50
From the calculations, Gerald will now have to pay the sum of $145.50 towards his monthly health insurance.
How is the above sum arrived at?
Note that the first sum being contributed by Gerald is (100%- 65%) of $345. This is 35% of $345 = $120.75
If his employer takes up 50% of $38, this leaves his contribution for dental as 50% of $38 = $19
Also if his employer takes up 75% of $23, his contribtuion for vision premium is 25% of 23 = $5.75
Hence his total contribution is now:
120.75 + 19.00 + 5.75 = $145.50
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PLEASE HELP AND FAST
Answer:
It would be A because the probability is above 0 percent however it is below 50 percent which is 0 and 0.5 in the question.
Step-by-step explanation:
Write the quotient as a mixed number. 91 ÷ 8 = 11 R3
Answer:
[tex]11\frac{3}{8}[/tex]