Answer:
z
Step-by-step explanation:
Question
Use the Factor Theorem, to find all other zeros of f(x) = 2x³+4x² - 10x - 12 given that one of the zeros is 2.
Provide your answer below:
Answer:
2,-3,-1
Step-by-step explanation:
f(x)=2x³+4x²-10x-12
f(x)=2(x-2)(x+1)(x+3)
F.theo: if f(a)=0, (x-a) is a factor of f(x)
Therefore, (x-2)=0 (x+1)=0 (x+3)=0
The other zeros are x=2, x=-1 and x=-3
Name each polynomial by degree first, and then number of terms.
-3a
Answer:binomial, polynomial,trinomial
Step-by-step explanation:
A polynomial can be classified by its number of terms. A polynomial with two terms is called a binomial, and a polynomial with three terms is called a trinomial. A polynomial can also be classified by its degree.(52 divided by 4) + 5 exponent 3
the answer is 138, because you divide first then add and then multiply.
Answer:
138 (if the exponent 3 in strictly on the 5)
5832 (if the exponent 3 in on the whole problem)
Step-by-step explanation:
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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Miranda is packing eggs in cartons . Each carton holds 12 eggs. She already filled 3 cartons . How many more eggs does she need to fill atleast 17 cartons
Answer:
carton = 12
12x17=204
miranda needs 204 more eggs to fill 17 egg cartons
A company sells cases of Mountain Dew. The revenue generated by selling x cases is described as LaTeX: \text{R(x)=50x} . The cost to produce the cases is described by the function LaTeX: \text{C(x)=25x+100.} The company’s profits for selling the cases of Mountain Dew is the difference between the revenue and cost amounts. Which function describes P, the profit for selling x cases?
A company sells cases of Mountain Dew. The revenue generated by selling x cases is described as LaTeX: \text{R(x)=50x} . The cost to produce the cases is described by the function LaTeX: \text{C(x)=25x+100.} The company’s profits for selling the cases of Mountain Dew is the difference between the revenue and cost amounts. Which function describes P, the profit for selling x cases?
LaTeX: \text{P(x)=25x+100}
LaTeX: \text{P(x)=75x-100}
LaTeX: \text{P(x)=25x-100}
LaTeX: \text{P(x)=75x+100}
Answer:the person below is correct
Step-by-step explanation:
Lydia is painting a concrete slab that is made up of a rectangle and two semicircles, as depicted in the diagram below.
As show in the diagram, the length of the rectangle is 12 cm, and the area of the rectangle is 96
square centimeters.
Which of the following is the closest approximation of the area of the entire concrete slab?
A. 1152 square centimeters
B. 146.3 square centimeters
C. 135.5 square centimeters
D. 79 square centimeters
The area of the concrete slab is 146.3 square centimeters. Option B
How to determine the valueFrom the information given, we have that;
The concrete slab is made up of;
1 rectangle + 2 semicircles(circle)
The formula for calculating the area of a rectangle is expressed as;
Area = lw
Where, l is the length and w is the width of the rectangle
Substitute the values
96/12 = width
Width = 8cm
Note that the width is he diameter of the semicircles
The area of a circle is expressed as;
Area = πr²
But radius = diameter/2 = 8/2 = 4cm
Substitute the value
Area = 3.14 × 16 = 50. 24
Add the areas
Area of the slab = 50. 24 + 96 =146. 24 square centimeters
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100 points!! ASAP do all problems with steps to your answer
Answer:
11. 10
12. -9v + 7
13. 1-10b
14. 5n+10
15. 12v
16. 0
17. 0
18. -4n+10
19. 9b - 9
20. 5v-8
Hope it help.
Answer: 13: 1-10b
14: 5n +10
15: 12v
16: nothing
17 0
18: 10 -4n
19: 11 + 5b
20: 5x + -8
Step-by-step explanation:
13: 6b + 4b = 10b
1-0=1
1-10b
14: n+4n = 5n
5n+10
15: 10v + 2v = 12v
16: 6v - 6v = 0
17: -2 +2 =0
18: 9 + 1 = 10
5n + n = 4n
10 - 4n
19: 10 + 1 = 11
7b-2b = 5b
11 + 5b
20: 1 -9 = -8
5x + -8
Pam started to divide 858 by 35. 4 35 ) 858 Is the first digit of her quotient correct?
Which ratios form a proportion?
3/4 and 9/16
2/5 and 5/2
2/3 and 8/12
1/6 and 3/8
Answer:
2/3 and 8/12
hope this helps
have a good day :)
Step-by-step explanation:
I added a screenshot of my question
\(y=\frac{1}{3}x+4\)
Explanation:Slope-intercept form:
What the variables mean:
Y=the y axis
m=the slope
x=the x-axis
b=the y intercept (the point on the line that crosses the y-axis)
To Calculate the Slope:
1. Find any 2 points on the line
2. The number of units the second point is above the first is the numerator
3. The number of units the second point is to the right of the first is a denominator
(Please see the picture attached)
\(y=\frac{1}{3}x+b\)
To Find the Y-Intercept:
1. Find the point on the line that crosses the y-axis
(Please see the picture attached)
\(y=\frac{1}{3}x+4\)
Suppose F is a vector field on the unit ball such that div f=3. What is the flux of f through the unit sphere, oriented outward?
The flux of the vector field \(\( \mathbf{F} \)\) through the unit sphere, oriented outward, is \(\( 4\pi \)\). \(\[\text{{Flux}} =4\pi\]\)
To find the flux of the vector field \(\(\mathbf{F}\)\) through the unit sphere, oriented outward, we can apply the Divergence Theorem.
The Divergence Theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of that vector field over the region enclosed by the surface.
Let's denote the unit ball as \(\(B\)\) and the unit sphere as \(\(S\)\). The outward-oriented normal vector on \(S\) is denoted as \(\(\mathbf{n}\)\). The Divergence Theorem then gives us:
\(\[\text{{Flux}} = \iint_S \mathbf{F} \cdot \mathbf{n} \, dS = \iiint_B \text{div}(\mathbf{F}) \, dV\]\)
Since the divergence of \(\(\mathbf{F}\)\) is given as \(\(\text{div}(\mathbf{F}) = 3\)\), we can rewrite the above equation as:
\(\[\text{{Flux}} = \iiint_B 3 \, dV\]\)
The integral on the right-hand side represents the volume of the unit ball, which is \(\(\frac{4}{3}\pi\)\). Thus, we have:\(\[\text{{Flux}} = 3 \cdot \frac{4}{3}\pi = 4\pi\]\)
Therefore, the flux of the vector field \(\(\mathbf{F}\)\) through the unit sphere, oriented outward, is \(\(4\pi\).\)
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180 minus what = 45
i really need this answer thank you
Answer: 135
Step-by-step explanation: All you need to do is 180-45=135.
The 180 minus 135 is equal to 45.
To find the value that, when subtracted from 180, gives a result of 45, set up the following equation:
180 - x = 45
To solve for x, to isolate it on one side of the equation by subtracting 180 from both sides:
180 - 180 - x = 45 - 180
Simplifying:
-x = -135
Now, to solve for x, multiply both sides of the equation by -1 to change the sign:
(-1) × (-x) = (-1) × (-135)
x = 135
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(I’ll give brainliest) The scale on Bobby's map is 2 in. = 50 mi. His final destination is 6 in. away
from his current location. How many miles does Bobby have to go before he
reaches his destination?
A.50 mi.
B.100 mi.
C.150 mi.
D200 mi.
Answer:
C. 150 miles.
Step-by-step explanation:
By multiplying the scale by 3 to get the value for 6 inches, you can find that 6 inches on the map is equal to 150 miles.
250 is what percent of 200?
Answer:
125%
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
What percent is 250 of 200? If you are using a calculator, simply enter 250÷200×100 which will give you 125 as the answer.
Hope that helps
Have a good day :)
pls help asap if you can!!!!!
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
1
gallons
2
Dave has 8 gallons of orange juice to serve at his birthday party. The guest drink 5
4
of orange juice. How much orange juice is left?
Answer:
3 gallons of orange juice
write a real world problem for 5/6 divided by 1/12. Use a model to solve.
Answer:
Step-by-step explanation:
Two boxes have a volume of 5/6 and 1/12 cubic meters respectively. How many times does the petty box (1/12) fit in the big box (5/6)?
\(\frac{\frac{5}{6} }{\frac{1}{12} } =\frac{(5)(12)}{(6)(1)} =\frac{60}{6} =10\)
ten times
Hope this helps
The radius of a cylindrical water tank is 4 ft, and its height is 6 ft, what is the volume of the tank?
Answer:
96π cu ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so \(B = \pi r^{2} = \pi 4^{2} = 16\pi\)
V = 16π(6) = 96π cu ft.
The volume of the cylinder is 301. 6 cu. ft.
What is the volume of the cylinder?\(V=\pi \times r^2\times h\)
where r is the radius of the cylinder and h is the height of the cylinder
For given question,
The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,
\(\Rightarrow r=4~ft,~h=6~ft\)
We need to find the volume of the cylinder.
Using the formula of the volume of the cylinder,
\(\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.\)
Therefore, the volume of the cylinder is 301. 6 cu. ft.
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Rewrite the equation by completing the square.
x^2 + 2x – 48 = 0
Answer:
(x+1)^2 = 49
x = 6 x = -8
Step-by-step explanation:
x^2 + 2x – 48 = 0
Add 48 to each side
x^2 + 2x =48
Take the coefficient of x
2
Divide by 2
2/2=1
Square it
1^2 =1
x^2 + 2x +1=48+1
x^2 +2x+1 = 49
(x+1)^2 = 49
Take the square root of each side
sqrt((x+1)^2) =±sqrt( 49)
x+1 = ±7
Subtract 1 from each side
x+1-1 = -1 ±7
x = -1+7 x = -1 -7
x = 6 x = -8
Will mark brainliest (scam links will be reported)
Answer:
30
hope it helps
Can anyone help please!!!
Answer:
6x8x16x10
Step-by-step explanation:
Two friends shop for fresh fruit. Jackson buys a watermelon for $8.45 and 5 pounds of cherries. Tim buys a pineapple for $3.35 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
The difference of the amounts spent by Jackson and Tim is given by the following expression:
p - 5.10.
How to model the situation?Considering p as the price per pound of cherries, the expression for Jackson is given as follows:
J(p) = 8.45 + 5p.
Tim buys a pineapple for $3.35 and 4 pounds of cherries, hence the expression is given as follows:
T(p) = 3.35 + 4p.
Then the difference is given as follows:
J(p) - T(p) = 8.45 + 5p - (3.35 + 4p)
J(p) - T(p) = 8.45 + 5p - 3.35 - 4p
J(p) - T(p) = p - 5.10.
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find the area of the parallelogram. the figure is not drawn to scale 44 38 35
The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.
To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:
Area = side1 * side2 * sin(angle)
Plugging in the values, we have:
Area = 44 * 38 * sin(35 degrees)
To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.
Area = 44 * 38 * sin(0.610865)
Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.
Area = 44 * 38 * 0.5815
≈ 1008.77 square units
Therefore, the area of the parallelogram is approximately 1,008.77 square units.
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5,3,1,2,3,2,4,2,1,6,3,4,3,6 what is the mode to this data
Answer:
the mode is 3.
Step-by-step explanation:
when organized, it's in this order:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6, 6
the most repeated number in the dataset is 3.
Four cousins are flying to Toronto. The total price of all four tickets is $1,248.
In addition, the cab fare to the airport costs 3% of the total airfare costs. If each
person pays an equal portion of the total cost of tickets and taxi, how much will
that be?
3% = 0.03
The total airfare cost = $1,248
The total taxi cost = $1,248 * 0.03 = $37.44
The total cost of all expenditures = $1,248 + $37.44 = $1,285.44
If each cousin paid an equal portion, every cousin would need to pay:
$1,285.44 / 4 = $321.36
When h is one-half and j is one-third, g is 4. if g varies jointly with h and j, what is the value of g when h is 2 and j is 3? 4 6 24 144
Answer:
D) 144Giveng varies jointly with h and jg = 4 when h = 1/2, j = 1/3To findValue of g when h = 2 and j = 3Joint variation:g = khj, where k- coefficient
Use given values of h and j, and find the value of k:
4 = k*(1/2)(1/3)4 = (1/6)kk = 4*6k = 24The equation is now:
g = 24hjFind the value of g when h is 2 and j is 3:
g = 24*2*3 = 144Correct choice is D
Answer:
D. 144
Step-by-step explanation:
PLEASE HELP with math
Answer: 113.1
2 π r
2 π 18
113.1 answer not sure if it is right
Step-by-step explanation:
You use a line of best fit set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.793. How confident can you be that your predicted value will be reasonable close to the actual value?
Answer:
Moderately confident
Step-by-step explanation:
Given that :
Correlation Coefficient = 0.793
The correlation Coefficient gives the strength of relationship between linear variables ranging from - 1 to 1.with values close to either - 1 or 1 depicting strong negative or positive correlation respectively, while values close to 0 signifies a weak correlation. Since the correlation Coefficient Given by the model is close to 1(0.793) one can be moderately confident that the value obtained from the model will be reasonably close to the actual value.
A group of friends is sharing 212 pounds of berries. If each friend received 54 of a pound of berries, how many friends are sharing the berries?
There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
The total amount of berries = 212 pounds
The number of berries received by each one = 54 pounds
Then, the number of friends sharing the berries is:
212/54 = 3.92 ≈ 4 friends.
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