To expand the expression (x + 10)(3x² + 5x - 2), we can use the distributive property, which states that for any numbers a, b, and c, the product (a + b)(c) can be written as a * c + b * c. Applying this property to the given expression, we get (x + 10)(3x² + 5x - 2) = (x * 3x² + 10 * 3x²) + (x * 5x + 10 * 5x) + (x * -2 + 10 * -2) = 3x³ + 30x² + 5x² + 50x - 2x - 20. Combining like terms, we get 3x³ + 35x² + 51x - 20. Thus, the expanded form of the expression (x + 10)(3x² + 5x - 2) is 3x³ + 35x² + 51x - 20.
solve (13 + 2) divided (9-4) using pemdas
Answer:
3
Step-by-step explanation:
(13+2)/(9-4) =
15/5 =
3
P arenthese
E xponents
D ivide
A dd
S ubtract
Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.
a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.
Answer:
Paired or Independent Samples
Quantities Samples
a. Paired Samples because the heights of the identical twins are dependent on each other.
b. Independent Samples; the height of men and women are independent of the other.
c. Independent Samples; rents in two different cities are not expected to be dependent on each other.
d. Paired Samples; rent in a certain town between this year and last year are dependent on each other.
Step-by-step explanation:
Paired Samples are used when there is a natural or matched coupling such that a data set is generated in which each data point in one dependent sample is uniquely paired to a data point in the second dependent sample. In this case, the two samples are dependent on each other.
Independent Samples are used when there is a random selection of samples because their observations are independent.
A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station. (Round your answer to the nearest whole number.) mi/h
Answer:
A plane flying horizontally at an altitude of 1 mi. and a speed of 500 mi ./hr. passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing ex when it is 2 mi. away
How do you do this?
9514 1404 393
Answer:
see attached for 1 and 2
Step-by-step explanation:
It's almost like drawing any other graph. Here, you need to pay attention to the domain on which each piece is defined. You need to add dots where the function is discontinuous to show how the function is defined at the discontinuity.
__
1) The dividing line is at x=2.
To the left of that line, the graph is the constant function y=3.
To the right of that line, the graph is the quadratic function y = (x-3)².
The dots are placed where x=2 (at the boundary between the parts of the function). A solid dot is placed on the end of the horizontal line, since that is the function value at x=2. An open dot is placed on the end of the parabola, since the function is not defined at that point (2, 1).
The graph is shown in the first attachment.
__
2) Here, the dividing line between the pieces is at x=-4. Again, the function is constant to the left of that line. To the right of that line, it is a line with a slope of 2 and a y-intercept of 3. The treatment of dots at the ends of the curve is the same, since the function is defined at x=-4 as the left piece, not the right piece.
The graph is shown in the second attachment.
Which statement describes volume?
A) measures the space inside in cubic units
B) measures the space inside in square units
C) measures the outside surface in cubic units
D) measures the outside surface in square units
Answer:
A) measures the space inside in cubic units
Step-by-step explanation:
Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3
Step-by-step explanation:
daddgeyeyeyeye daddd daddy safdad papap
PLEASE HELP! 10 POINTS.
2x+30=-50
2x=-50-30
2x=-80
x=-80/2
x= - 40Answer:
-40
Step-by-step explanation:
cuz 2 times -40=-80 and -80+30 equals -50
please help solving x
Answer:
x = -7
Step-by-step explanation:
m<MLP + m<PLK = m<MLK (angle addition postulate)
(x + 31) + (x + 147) = 164 (substitution)
Solve for x
x + 31 + x + 147 = 164
Add like terms
2x + 178 = 164
2x = 164 - 178
2x = -14
x = -14/2
x = -7
I will give brainliest to correct answer
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2.
Answer:
D
Step-by-step explanation:
If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as
p(x)/x+k = q(x) + r/x+k
where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes [tex]x^{1}[/tex] and no higher exponents), the remainder is a real number.
Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.
The question states that p(3) = −2, so it must be true that
−2 = p(3) = (3+k)q(3) + r
Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.
A. −2=p(3)=(3+(−5))q(3)+0
−2=(3−5)q(3)
−2=(−2)q(3)
This could be true, but only if q(3)=1
B. −2=p(3)=(3+(−2))q(3)+0
−2=(3−2)q(3)
−2=(−1)q(3)
This could be true, but only if q(3)=2
C. −2=p(3)=(3+2)q(3)+0
−2=(5)q(3)
This could be true, but only if q(3) = −2/5
D. −2=p(3)=(3+(−3))q(3)+(−2)
−2=(3−3)q(3)+(−2)
−2=(0)q(3)+(−2)
This will always be true no matter what q(3) is.
Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.
The final answer is D.
#8: Identify the coordinates for point D. Type your answer in the form (#,#), without spaces.
Answer:
(1,2)
Step-by-step explanation: The x = 1 and the y = 2
what does "find (g times f)(3)" mean
f(x)=3x-2
g(x)=x squared
Answer:
Multiply the functions then multiply the product by 3.
Step-by-step explanation:
(3x-2)(x^2)(3)
first lets do (3x-2)(3)
9x-6
then lets do (9x-6)(x^2)
9x^3-6x^2
Which of these forms a perfect square: Select all expressions that are prefect squares. Group of answer choices (a+3)(3+a) (a+b)(b+a) (2x-1)(2x+1) (x+5)(x+5) (-9+c)(c-9) (y-10)(10-y) (4-3x)(3-4x)
Answer:
Step-by-step explanation:
x = 2
step-by-step explanation:
if sr parallel to ba then the sides bc and ac are in proportion, that is
\frac{sb}{cs} = \frac{ra}{cr} ← substitute values
\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )
27x = 6(4x + 1)
27x = 24x + 6 ( subtract 24x from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
One half of a number , n is at most 24
Answer:
So if N is 24, then the number is 12.
Step-by-step explanation:
24 / 2 = 12
4 unit squares each have 4/5 of their area shaded what is the total of that area shaded
Answer:
16/20
Step-by-step explanation:
yeah
Answer:
20/7
Step-by-step explanation:
just do it dont do the top i tried and it failed PLEASE MY FUTURE SELF LOOK AT THIS
PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!
Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.
9514 1404 393
Answer:
x^2 +(y -61)^2 = 625/36
Step-by-step explanation:
The graph of the above equation is attached.
If the circumference of the wheel is 25π/3 feet, the diameter is ...
d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet
The radius will be half that value, or 25/6 feet.
For a center point (h, k) and radius r, the equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.
This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...
x^2 +(y -61)^2 = 625/36
A standard six-sided die was rolled a number of times, and the results were recorded in the table below. Use this information to answer the question. Type your answer into the box as a decimal, rounded to the nearest thousandth.
Side: 1 2 3 4 5 6
Frequency: 42 51 39 52 44 48
What is the probability that an even number was rolled?
Answer:
[tex]P(Even) = 0.547[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{Sides} & {1} & {2} & {3} & {4} & {5} & {6} \ \\ {Freq} & {42} & {51} & {39} & {52} & {44} & {48} \ \end{array}[/tex]
Required
P(Even)
The even sides are: 2, 4, 6
So:
[tex]P(Even) = P(2) + P(4) + P(6)[/tex]
This is then calculated as:
[tex]P(Even) = \frac{n(2)}{Total} + \frac{n(4)}{Total} + \frac{n(6)}{Total}[/tex]
Replace n(2), n(4), n(6) with their frequencies
[tex]P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}[/tex]
The total frequency is:
[tex]Total =42+51+39+52+44+48[/tex]
[tex]Total =276[/tex]
So:
[tex]P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}[/tex]
[tex]P(Even) = \frac{51}{276} + \frac{52}{276} + \frac{48}{276}[/tex]
Take LCM
[tex]P(Even) = \frac{51+52+48}{276}[/tex]
[tex]P(Even) = \frac{151}{276}[/tex]
[tex]P(Even) = 0.547[/tex] --- approximated
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?
Use the value 3.14 for π and round your answer to the nearest whole number.
Answer:
The volume of the cylinder is 120.10 square feet.
Step-by-step explanation:
Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume if the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of the same:
3.14 x 1.5 ^ 2 x 17 = X
3.14 x 2.25 x 17 = X
7.065 x 17 = X
120.105 = X
Thus, the volume of the cylinder is 120.10 square feet.
4. What is the volume of the triangular prism
10 in
6 in
8 in
Answer:
V=480 in^3
Step-by-step explanation:
Use the formula
V=BxH
V=(60)(8)
V=480 in^3
Which comparison statement describes the model below 6 6 6 6 24
Calculate the area of each shape below. Figures are not drawn to scale.
Answer:
The area of the triangle is 168 meters
Step-by-step explanation:
Formula to find the area of a triangle:
Area = 1/2 Base x Height
So, first you need to identify the base and the height. The base is 16m + 8m, and the height is 14m. All you have to do is plug in the numbers:
Area = 1/2 (16 + 8) x 14
Then, you solve:
Area = 1/2 (16 + 8) x 14
Area = 1/2 24 x 14
Area = 1/2 336
Area = 168 meters
So, the area of the triangle is 168 meters
What's a range? Please help me
Step-by-step explanation:
the area of variation between one place of one point to another place of another point of cup is called range.hope it is helpful to you
If square ABCD is similar to square WXYZ and AB = 35 , AD = 30 , and WX = 42 , find WZ
Answer:
35.5
Step-by-step explanation:
What is the height of a triangle whose base is 36 inches area is 234 Square inches
Answer:
hb will = 3in/ three in
WHAT IS 245 PLUS 456? PLZZZZZZ HELLLPPPPPP
Answer:
701
Step-by-step explanation:
456
+245
------------
701
could have used a calculator
Answer:
701 is the answer
thanks for the point
Step-by-step explanation:
245
+456
____
701
Help me olesesssssss
9514 1404 393
Answer:
=
Step-by-step explanation:
A half rest is 2 beats, a quarter rest is 1 beat, so the rests on the left total 3 beats.
The half note on the right is normally 2 beats, but the dot adds half-again that amount, so 1 more beat. The dotted half note on the right is 3 beats.
Both represent 3 beats, so their beat counts are "equal."
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.
Answer:
648cm³
Step-by-step explanation:
The container is a cuboid thus:
volume of water is:
v=l×w×h
=10×24×7
=1680cm³
volume of water+stone=10×24×(7+2.7)
=10×24×9.7
=2328cm³
Thus volume of stone equals
2328-1680.
=648cm³
Tamira has 8 pounds of clay. How many 4-ounce
bowls can she make with the clay?
Answer:
32
Step-by-step explanation:
8 pounds = 128 ounces
128 ÷ 4 = 32
i need help i dont get it's almost the due date in 30 min
Answer:
2 cm
Step-by-step explanation:
That’s the answer so yeah
Help me for free Brainliest
Answer:
CHope It Help
Step-by-step explanation:
Brainliest please
Answer:
C
Step-by-step explanation:
Domain = x-values
Range = y-values
Laurie sold a house and made a commission of $14,050. She charges
her customers a commission fee of 2.5% on the selling price of the house.
How much was the selling price of the house Laurie sold?
The cost of the house is $562000
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here Laurie charges her customers a commission fee of 2.5% on the selling price of the house. Let the selling price of the house be x then according to the question we have
2.5% of x = 14,050
x= 14,050 × 100/2.5
= $562000
Hence, the cost of the house is $562000
Learn more about percentages here:
https://brainly.com/question/29306119
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