Answer:
[tex]x = -\dfrac{8}3~~~~\text{or}~~~x = -\dfrac {22}3[/tex]
Step by step explanation:
[tex]~~~~~3|x+5|=7\\\\\implies |x+5| = \dfrac 73\\\\\implies x +5=\dfrac 73~~~\text{or}~~~x+5 = -\dfrac 73\\\\\implies x = \dfrac 73 -5~~~\text{or}~~~ x = -\dfrac 73 - 5\\\\\implies x = -\dfrac{8}3~~~~~~\text{or}~~~x = -\dfrac {22}3[/tex]
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
Juliana bought 3 bags of chips for 0.85 each and 3 sodas for herself and two friends and spent exactly $6 (before tax.) write an equation to find the price of each can of soda.
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
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.
mayonaise on a escatlater going so fast so i will see you later
Help…!!!!!pls…!!!! It’s really urgent
Answer:
Step-by-step explanation:
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
HELPP FOR BRIANLEST!!!
Answer:
Your answer Exterior C is 160°
Interior C is 20°
Step-by-step explanation:
<A + <B + <C = 180°
<Left C + <Right C = 180°
<A + <B = <Right C
(5x - 10)° + 12x° = 16x
17x - 10 = 16x
x = 10
<A = 5x - 10
<A = 5*10 - 10
<A = 50 - 10 = 40°
<B = 12x
<B = 12*10
<B = 120°
<A + <B = <Right C.
40° + 120° = 160°
Find the value of x for each of the special parallelograms.
5. rhombus
The two angles given are supplementary angles so when added together need to equal 180 degrees.
2x-1 + 4x+28 = 180
Simplify:
6x +27 = 180
Subtract 27 from both sides:
6x = 153
Divide both sides by 6:
x = 25.5
Which of the following are solutions to the equation below?
Check all that apply.
x2 + 4x + 4 = 12
A. x= -22/3 - 2
O B. X = -V2+12
O c. X= V2 +12
O D. x = 213-2
O E. x = 2,5 + 2
O F. x= -2-43 +2
The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
1) Since we've been given the equation x²+4x +4=12 then let's solve it to find the roots
2) Applying the resolutive formula
x²+4x +4=12
x²+4x +4-12 =0
x²+4x -8=0
now, we know, here,
D = b² - 4ac
so, solving we get,
D = 48
Now, the roots are,
x = -b ± √D / 2a
so, here, we get,
x_1 = -2 + 2√3
x_2 = -2 - 2√3
Hence, The solution is, x_1 = -2 + 2√3 and, x_2 = -2 - 2√3, are solutions to the equation below.
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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
Write the quotient as a mixed number. 91 ÷ 8 = 11 R3
Answer:
[tex]11\frac{3}{8}[/tex]
pls help me with this question
Which statement(s) are true based on the pythagorean identities? sine squared (theta) = 1 cosine squared theta 1 = secant squared theta minus tangent squared theta cotangent squared theta = cosecant squared theta minus 1 1 minus tangent squared theta = negative secant squared theta negative cosine squared theta = sine squared theta minus 1
The statement that is true based on the Pythagorean identities is cotangent-squared of theta - cosecant-squared of theta = -1.
Why is the equation above true?Note that cotangent-squared of theta - cosecant-squared of theta = -1. is tru because it is the only equation that is correct.
So therefore, cotangent-squared of theta - cosecant-squared of theta = -1.
Learn more about Pythagorean from
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Answer:
BCE
Step-by-step explanation:
edg
Given circle E with diameter CD and radius EA. AB is tangent to Eat A.
If AD = 14 and CD = 26, solve for AC. Round your answer to the nearest
tenth if necessary. If the answer.cannot be determined, click "Cannot be
determined."
The triangle ACD is the right angle since it is a triangle in a semicircle. The length of AC from the diagram is 21.9feet
Application of pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the square of the other two sides
From the given circle, the triangle ACD is right angle since it is a triangle in a semicircle
Given the following
Hypotenuse = 26 feet = CD
Base side = AD = 14ft
Required
Length AC
Use the theorem
26^2 = 14^2 + AC^2
AC^2 = 676 - 196
AC^2 = 480
AC = 21.9feet
Hence the length of AC is 21.9feet
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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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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:
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
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:
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.
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...
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
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
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]
is either x=5 or x=6 a solution to 4x>21
Answer:
x=6
Step-by-step explanation:
The inequality is saying that 4×x is more than 21
4×5 = 20 which is not more than 21
4×6 = 24 which is more than 21
Therefore the lowest integer solution to this is that x = 6
Answer:
[tex]4x > 21[/tex]
[tex]\cfrac{4x}{4} > \cfrac{21}{4}[/tex]
[tex]x > \cfrac{21}{4}[/tex]
I'd say no!
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:
Which angles are vertical to each other? Select all that apply.
Answer:
Answer is D. angle DGF and AGC
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