Answer:
the volume of the rectangular prism is 100 ft³
Step-by-step explanation:
Given;
area of top face of a rectangular prism, A = 20 ft²
height of the rectangular prism, h = 5 ft
Volume of the rectangular prism = Area of top face x height of the rectangular prism
Volume of the rectangular prism = A x h
Volume of the rectangular prism = 20 ft² x 5 ft
= 100 ft³
Therefore, the volume of the rectangular prism is 100 ft³
Which of the following characteristics best describes the given function of ƒ(x) = 3x − 6 ?
Answer:
a linear function with slope 3 and y intercept -6
Step-by-step explanation:
f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.
Next time please be sure to share the answer choices. Thanks.
Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
What is linear function?" Linear function is defined as the relation between variables with highest exponent equals to one".
According to the question,
Given
Function[tex]f(x)= 3x-6[/tex]
[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.
Therefore, it is a linear function.
Represents the straight line.
x increases y also increases.
No maximum and minimum point.
Compare it with general equation of line [tex]y = mx + c[/tex]
Slope of the line [tex]= 3[/tex]
Y- intercept [tex]= -6[/tex]
Hence, function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
Learn more about the linear function here
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What is 44% of 250? Percent word problems.
Answer:
110 is 44% of 250
Step-by-step explanation:
x=0.44(250)
x=110
Answer : 110
44 percent *250 =
(44:100)*250 =
(44*250):100 =
11000:100 = 110
Now we have: 44 percent of 250 = 110
in right triangle ABC, angle C is a right angle and sin A= sin B. What is measure of angle A
Answer: 45 degrees
Step-by-step explanation:
Plato
p and q are complex numbers such that |p|=7√2 and |p+q|=12√3 .
On what interval must |q| fall on?
A [7√6/24,[infinity])
B [12√3−7√2,[infinity])
C [12√3+7√2,[infinity])
D [4√6/7,[infinity])
Answer:
Option B is correct
Step-by-step explanation:
Given: [tex]\left | p \right |=7\sqrt{2}\,,\,\left | p+q \right |=12\sqrt{3}[/tex]
To find: interval on which [tex]\left | q \right |[/tex] must fall
Solution:
[tex]\left | p \right |=7\sqrt{2}\\-7\sqrt{2}\leq p\leq 7\sqrt{2}\,\,(i)[/tex]
[tex]\left | p+q \right |=12\sqrt{3}\\-12\sqrt{3}\leq p+q\leq 12\sqrt{3}\,\,(ii)[/tex]
Subtract (ii) from (i)
[tex]-12\sqrt{3}+7\sqrt{2}\leq p+q-p\leq 12\sqrt{3}-7\sqrt{2}\\-12\sqrt{3}+7\sqrt{2}\leq q\leq 12\sqrt{3}-7\sqrt{2}\\\left | q \right |=12\sqrt{3}-7\sqrt{2}[/tex]
So, [tex]\left | q \right |[/tex] must fall in interval [tex][12\sqrt{3}-7\sqrt{2},\infty)[/tex]
Therefore, option B is correct.
Noami visited the fabric store and purchased two yards of 45'' flat fold material at $2.29 yd. She then bought two more yards of 60'' 100$ cotton broadcloth at $5.89 yd. What was her
total bill, including a 5% sales tax?
Answer:
Total bill = $17.18
Step-by-step explanation:
Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.
Cost of 2 yard of 45" flat fold material = 2.29 × 2
= $4.58
Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.
Cost of 2 more yards material = 5.89 × 2
=$11.78
Total cost of 4 yards cloth material with sales tax
= (4.58 + 11.78) + 5% of (4.58 + 11.78)
= $16.36 + (5% of $16.36)
= 16.36 + (0.05 × 16.36)
= 16.36 + 0.818
= $17.178
= $17.18
Determine the intercepts of the line, PLEASE ANSWER ASAP
Answer:
x-intercept = (-40,0) and y-intercept = (15,0)
Answer:
x-intercept: (0, -40)
y-intercept: (15, 0)
Step-by-step explanation:
x-intercept: (0, -40)
y-intercept: (15, 0)
We get this because the intercept of an axis is when the line passes through the axis. For y, the x value will always be 0. For x, the y value will always be 0.
Which phrase describes the algebraic expression 3x-4? a. the sum of three times a number and four b.four less than three times a number c.the quotient of three times a number less four d. the difference between four and three
Answer:
b.four less than three times a number
Step-by-step explanation:
because it's -4 , it will be four less than
and ×3 is three times the number
Answer:
b. four less than three times a number
Step-by-step explanation:
Got it right on the test
What statement about 6x^2+7x-10 is true
Describe how you would simplify the given (20x5y2/5x-3y7)
Steps:
1: Pulling out like terms/factors
2: Trying to factor as a Difference of Squares
Description:
Let's simplify step-by-step.
20x⁵y²/5 x -3 y⁷
=4x⁶y²−3y⁷
Answer: =4x⁶y²−3y⁷
Please mark brainliest
Hope this helps.
Answer:
Step-by-step explanation:
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents
Which of the following best explains why tan(5pi/6) doesn't equal tan(5pi/3)
1. The angles do not have the same reference angle.
2. Tangent is positive in the second quadrant and negative in the fourth quadrant
3. Tangent is negative in the second quadrant and positive in the fourth quadrant
4. The angles do not have the same reference angle or the same sign
Answer:
1. The angles do not have the same reference angle
Step-by-step explanation:
The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)
The angles do not have the same reference angle.
_____
5π/6 has a reference angle of π/6.
5π/3 has a reference angle of π/3.
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
2π = 360°
π = 180°
5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°
5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)
The reference angles are not the same and so the value of their tangents are not equal.
Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of a. (a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)
The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(a³ - 2a + 5) - (4a³ - 5a² + a - 2)
⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2
⇒ -3a³ + 5a² - 3a + 7
Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".
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find the area if the figure
Answer:
Might be wrong but try 47.5ft^2
Step-by-step explanation:
(3*2)/2=3
(3*3)/2=4.5
3+4.5+(4*10)=47.5
What is the measure of < A, In degrees?
Answer:
D.120
Step-by-step explanation:
The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120
Please help!
Find the product AB, if possible. Explain if it's not possible.
Answer:
C
Step-by-step explanation:
To multiply matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.
Matrix A has 2 columns.
Matrix B has 2 rows.
So the matrices can be multiplied.
Matrix A has 2 rows. Matrix B has 1 column. So the result will also have 2 rows and 1 column.
The first row is (5)(2) + (2)(3) = 16.
The second row is (3)(2) + (-1)(3) = 3.
Find the value of x. 4x+15=28
Answer:
x = 3 1/4
Step-by-step explanation:
[tex]4x+15=28\\Collect-like-terms\\4x = 28-15\\4x = 13\\Divide -both-sides-of-the-equation-by:4\\\frac{4x}{4} =\frac{13}{4} \\x = 13/4\\x = 3\frac{1}{4}[/tex]
[tex]4x+15=28[/tex]
[tex]4x+15-15=28-15[/tex]
[tex]4x=13[/tex]
[tex]\displaystyle \frac{4x}{4} =\frac{13}{4}[/tex]
[tex]\displaystyle x=3.25[/tex]
What is 6 y minus 3 x = negative 18 written in slope-intercept form? y = negative one-half x + 3 y = one-half x minus 3 y = negative 2 x + 3 y = 2 x minus 3
Answer:
[tex]y=\frac{1}{2} x-3[/tex]
which looks like the second answer option you have listed
Step-by-step explanation:
In order to express a linear equation in slope-intercept form, one just needs to solve for "y" in the equation:
[tex]6y-3x=-18\\6y=3x-18\\y=\frac{3x-18}{6} \\y=\frac{1}{2} x-3[/tex]
Answer:
B
Step-by-step explanation:
on edge 2021
hope this helps!!
Find the missing value.-7/13 = m/104
[tex]answer = - 56 \\ solution \\ \frac{ - 7}{13} = \frac{m}{104} \\ or \: 13 \times m = 104 \times ( - 7) \\ or \: 13 \: m = - 728 \\ or \: m = \frac{ - 728}{13} \\ m = - 56 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
[tex] - 56[/tex]
Step-by-step explanation:
[tex] \frac{ - 7}{13} = \frac{m}{104} [/tex]
use cross multiplication
[tex]104 \times - 7 = 13m \\ - 728 = 13m \\ \frac{ - 728}{13} = \frac{13m}{13} \\ m = - 56[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I will mark you the Brainliest person who gets this right
Answer:
B (x^2 +4x -2) + (x^2 -2x +4)= 2x^2 +2x +2
Step-by-step explanation:
The blue are positive and the red are negative
The top line is x^2 +4x -2
The second line is x^2 -2x +4
Adding together
x^2 +4x -2 + x^2 -2x +4= 2x^2 +2x +2
can someone help with all of of it ??
Answer:
y = -2x + 1
Step-by-step explanation:
First we're going to find the gradient (the number in the green box with the question mark).
We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.
Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).
Substitute the points into our formula:
gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]
gradient = [tex]\frac{-6}{3}[/tex]
gradient = -2
Next, we're going to find the y-intercept (the number in the grey box)
Now that we have the gradient, our equation looks like this:
y = -2x + c
We use the letter c to represent the y-intercept of a linear graph.
Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).
3 = -2(-1) + c
3 = 2 + c
c = 1
So our equation is y = -2x + 1
Classify the following triangle. Check all that apply.
A.Isosceles
B.Scalene
C.Acute
D.Equilateral
E.Right
F. Obtuse
Answer: A and E
Step-by-step explanation:
A. Correct
You know this is an isisceles triangle because of the markers on the sides. The markers mean the sides are equal. Also, the lengths are both 8.
B. Incorrect
A scalene triangle is a triangle where all 3 sides have different lengths. The picture shows an isosceles triangle.
C. Incorrect
Even is this may seem like an acute triangle because of the 45°, but this is actually not an acute triangle. An acute triangle requires for all its sides to be less than 90°. The right angle at the bottom right is 90°, not less than.
D. Incorrect
An equilateral triangle has 3 equal sides. The 3 sides in thsi triangle are not equal.
E. Correct
This is a right triangle. You can tell by the right angle label on the bottom right.
F. Incorrect
An obtuse triangle has an angle that is greater than 90°. No angle on this triangle is larger than 90°.
What is the equation of the translated function, g(x), if f(x) = x2?
Answer:
Its D
Step-by-step explanation:
Just took the test and got a 96%
Answer:
d
Step-by-step explanation:
fart
Melissa wants to cover a footrest with cotton fabric.The footrest is 15 inches by 11 inches by 13 inches.She has 1 square yard of fabric.Can she completely cover the footrest.
Which of the following is the solution set of the given equation?
(x - 3) - 2(x + 6) = -5
Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
Please help me answer this solve for x
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]
These are corresponding angles
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the probability that the number is in set A’ giving your answer as a decimal
Answer:
0.7
Step-by-step explanation:
The probability that the number is in set A’ is the probability that a number is not in set A.
From the venn diagram attached below, they are two sets, set A and set B. Set A has 3 elements {15, 12 18}, Set B has 5 elements {12 18 10 14 16}.
The total number of elements in the universal set is 10 i.e {10 11 12 13 14 15 16 17 18 19}
therefore the number of elements in set A' is 7, i.e {10 11 13 14 16 17 19}.
the probability that the number is in set A’ = number of elements in set A'/number of elements in the universal set
probability that the number is in set A’ = 7 / 10 = 0.7
Answer:
0.7
Step-by-step explanation:
count them up and decide by how many there are then simplify
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answer:
C
Step-by-step explanation:
Option c gives the actual representation of the question
Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. What is the constant of proportionality in this direct variation?
Answer:
3/35
Step-by-step explanation:
Here, we want to know the constant of proportionality in this direct variation scenario
Since it is a direct variation, the form we are having would be;
x = ky
where x and y directly vary with each other and k is the constant of proportionality
Now, for the first relation
3 = 35k
for the second
9 = 105k
Thus k would be
3/35 which is the same as 9/105
Kindly note that 9/105 can be reduced to 3/35
So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35
The answer is A.) y =35/3x
Which of these is LEAST likely to be a destination of future manned space exploration during your lifetime? A. Mars B. asteroids C. nearby stars D. orbiting hotels
Answer: C
Step-by-step explanation:
Nearby stars are lightyears and lightyears away. We are landing on Mars next year, the international space station already exists, and a japansese research center already mined asteroids. That textbook must be quite old
Factor the trinomial completely.
a^4 -2a^2 - 35
Answer:
(a^2+5)(a^2-7)
Step-by-step explanation:
a^4 -2a^2 - 35=a^4-2a^2+1-36=(a^2-1)^2-6^2=(a^2-1+6)(a^2-1-6)=(a^2+5)(a^2-7)Anyone know this ?? :( need help
Answer:
It is the value of the coin when it was originally purchased. t=0 y=3
Step-by-step explanation:
The y intercept is the value when t=0
It is the value of the coin when it was originally purchased. y=3