Answer:
See below, please
Step-by-step explanation:
Volume
[tex] = (x + 12) \times (x + 3) \times 2x[/tex]
[tex] = ( {x}^{2} + 15x + 36) \times 2x[/tex]
[tex] = 2 {x}^{3} + 30 {x}^{2} + 72x[/tex]
On a hike you climbed to an altitude of 125 feet above sea level. Base camp is located at 32 feet below sea level. How far did you climb from base?
Answer:
32
Step-by-step explanation:
i need help with this
Two independent variables that can affect the cost of the supplies are:
x = number of pencils bought.y = number of notebooks bought.What is an independent variable?An independent variable is a variable that can change freely.
For example in the given situation, we could define the independent variables:
x = number of pencils bought.y = number of notebooks bought.Notice that these variables are independent because these don't depend on each other.
Then if each pencil costs A, and each notebook costs B, the cost function will be:
C(x, y) = A*x + B*y
So there you have two independent variables that affect the cost of the supplies.
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Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
26
Part 1
Select all that apply.
A.
irrational numbers
B.
whole numbers
C.
real numbers
D.
natural numbers
E.
integers
F.
rational numbers
Answer:
26 is a:
B. Whole number
D. Natural number
E. Integer
F. Rational number
Answer:
B, C, D, E, F or all options except A
Step-by-step explanation:
26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on
26 is a whole number.
whole numbers are 0 1 2 3 4 and so on
26 is a real number
imaginary number example: sqrt of -2
natural numbers are numbers going from 1 to infinity
integers are any number that is not a decimal.
26 is rational since it's not irrational.
Hi can someone plss help me with these 2 questions. Im really struggling with them.
Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.
What is health?It should be noted that health simply means the state of being free from illness or diseases.
In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.
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The sequence below is arithmetic:
{3, -6, -15,-24}
True
False
Answer:
True
Step-by-step explanation:
For the sequence to be arithmetic there must be a common difference d between consecutive terms.
a₂ - a₁ = - 6 - 3 = - 9
a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9
a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9
There is a common diffence between consecutive terms, thus the sequence is arithmetic.
Choose the correct answer in each number.
1. It is the sum of all areas of lateral faces
and bases of solid figure.
A. Base area B. Lateral area C. Surface area D. None of the above
2. A flat pattern that you can fold to form a solid figure is called a/an _____.
A. Area B. Edge C. Face D. Net
3. The surface area of a cube is _____ times the area of its face.
A. Three B. Four C. Five D. Six
4. In a cylinder, the edge or length of the lateral surface is equal to _____ of its base.
A. Circumference B. Perimeter C. Radius D. All of the above
5. The lateral surface of a cylinder when it is unrolled will be _____
A. Rectangle B. Trapezoid C. Triangle D. All of the above
6. The solid figure that has surface area equivalent to for times the areas of circles of the same radii is _____.
A. Cube B. Cone C. Tetrahedron D. Sphere
7. To get the lateral area of a cone, we use the formula _____.
A. L.A.=πr2 B. L.A.=πrs C. L.A.=πrh D. L.A.=rh
8. The sum of the area of the square base and four triangular lateral faces is the surface area of _____.
A. Cube B. Rectangular prism C. Pyramid D. Cone
9. The unit for surface area is _____.
A. Cubic unit B. Linear unit C. Square unit D. Weight unit
10. A cone has a radius of 5 cm and slant height of 7.1 cm. What is the unit of measure appreciate for its surface area?
A. Square milimiter (mm2) B. Square centimeter (cm2) C. Square decimeter (dm2) D. Square meter (m2)
Answer:
A
B
A
C
D
C
A
B
B
D
Step-by-step explanation:
A parking garage charges a fixed amount of money for each hour that it is used.
Please answer quickly Attachment down below
Answer:
He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.
Step-by-step explanation:
area of a triangle= b×h×1/2
therefore area of each triangle(lateral face)= 6×4×1/2= 12
12×4 because there are 4 triangles=48
then the area of the base= 6×6= 36
total surface area= 36+ 48=84
What is the answer this math problem. -6+ -(8x - 3)
Answer:
x = -3÷8
or x = -0.375
Explanation:
-6+ -(8x-3)= -6-8x+3
= -8x -3
-8x-3= 0
-8x = 3
8x = -3
x = -3÷8
Find the length of the third side. If necessary, round to the nearest tenth
Answer:
9.21954445729
Step-by-step explanation:
A^2 + B^2 = C^2
7^2 = 6^2 = 85
The square root of 85 is...
9.21954445729
0=x^2-8x-32 solve by completing the square
Answer:
x = 4.65 or x = -0.65 (to 2 d.p)
Step-by-step explanation:
To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c
In this case, x² - 8x - 32 = (x - 4)² - 16 - 32This simplifies to (x - 4)² - 48 = 0To solve this:
First, add 48 to both sides → (x - 4)² = 48Next, square root both sides → x - 4 = ± √48 (remember that the square root of a number always has a positive and negative value)Finally, add 4 to both sides → x = 4 ± √7x has 2 solutions
x = 2 + √7 or x = 2 - √7
x = 4.65 or x = -0.65 (to 2 d.p)
Hope this helps!
Answer:
x = 4 ± 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
x² - 8x - 32 = 0 ( add 32 to both sides )
x² - 8x = 32
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 32 + 16
(x - 4)² = 48 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{48}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( add 4 to both sides )
x = 4 ± 4[tex]\sqrt{3}[/tex]
find the perimeter of polygon
Answer:
22
Step-by-step explanation:
4+7+4+7=22
12,-24, 48, -96,
determine the next term for each sequence
The measure of Vis 94°. What is the measure of _XYZ, the tangent-chord angle? O A. 440 X O B. 47° C. 1889 2 Z O D. 940
Answer:
B
Step-by-step explanation:
the tangent- chord angle XYZ is half the measure of its intercepted arc XY
∠ XYZ = [tex]\frac{1}{2}[/tex] × 94° = 47°
Answer:
I think that the correct answer would be B. 47 degrees
Step-by-step explanation:
hope this helps
pls mark brainliest
what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
160
Step-by-step explanation:
72=0.45x
72/0.45=x
x=160
HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth
answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. find angle A
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. find side a
using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. find side b
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.
sine44°=[tex]\frac{b}{25}[/tex]
(multiply both sides by 25)
25sine44°=b
b=17.366
--
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Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = x^2
Answer:
The function is even
good luck
state how the graph will change
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answer:
3.26
Step-by-step explanation:
33.5/3.14 = 10.66 ( when rounded to the nearest tenth).
10.66 square rooted is 3.26
The required radius of the sphere is 2 inch.
Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.
Volume, is defined as mass gained per unit cube of density.
Here, area of sphere = [tex]4/3\pi r^3[/tex]
33.5 = 4/3 πr³
r³ = 33.5 * 3/4π
r = 2
Thus, the required radius of the sphere is 2 inch.
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This is just a question to answer to boost your points. (students who need points to find answers only!)
What is the correct answer to 5x5/2?
Answer:
it would be 12.5
Step-by-step explanation:
brainly deleted my answer from before
It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.
Answer:
6/5
Step-by-step explanation:
Let size 4 football radius = x,
and size 5 football radius = y,
Volume of size 5 = Volume of size 4 × (1 + 0.728)
Using the sphere volume formula,
V = (4/3)πr³
(4/3)πy³ = (4/3)πx³ × (1.728)
y³ = 1.728x³
y = ³√1.728 x
y/x = 6/5
Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5
Answer:
6/5
Step-by-step explanation:
Write an expression equivalent to/that has two terms. 2x - 1/2 (10 - 4x)
Answer:
4x - 5
Step-by-step explanation:
To make this 2 terms, we'll have to first identify if we have to distribute anything.
Since 10 - 4x is inside a parenthesis and [tex]\frac{1}{2}[/tex] is beside that, we know that we'll have to distribute the expression.
[tex]-\frac{1}{2}[/tex] (10 - 4x) = [tex]-\frac{10}{2}[/tex] + [tex]\frac{4}{2}[/tex]x = -5 + 2x.
Then, combine like terms:
2x - 5 + 2x = 4x - 5.
Remember, the coefficient always goes before the constant.
Your answer should be 4x - 5.
What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32
Answer:
B
Step-by-step explanation:
find area of rhombus . please./.
Answer: 126
Step-by-step explanation:
the table shows some ordered pairs that belong to quadratic function h
The table represents the quadratic function h(x)
The range of the quadratic function is (d) all real numbers greater than or equal to -8
How to determine the range?The range of the quadratic function is the list of the function ouput values.
From the table, we have:
The smallest output value is -8
Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8
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Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...
Answer:
5.5
Step-by-step explanation:
13.75 divided by 2.5 = 5.5
Imagine the center of the singapore flyer is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar
The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation
How to determine the equation of the Ferris wheel?
From the question, we have the following parameters:
Center (a,b) = (0,0)Radius, r = 5The equation of a circle is represented as:
(x - a)² + (y - b)² = r²
So, we have:
(x - 0)² + (y - 0)² = 5²
Evaluate
x² + y² = 25
Hence, the equation of the Ferris wheel is x² + y² = 25
See attachment for the image of the Ferris wheel
Transformation to a similar circle
Assume that the similar circle has the following parameters:
Center (a,b) = (0,0)Radius, r = 10The equation of the circle would be:
(x - 0)² + (y - 0)² = 10²
Evaluate
x² + y² = 100
Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation
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What is the slope of a line that goes through the points (3, 7) and (8, 11)
Question 4 options:
11/7
5/4
−8/3
4/5
Answer:
5/4
Step-by-step explanation:
Since the formula of finding the slope is y2-y1/x2-x1, you plug ithe numbers into the equation which is 8-3/11-7 which equals 5/4.
help please, I need it fast
Answer:
(d) 1 / 2^8
this is the answer
both equations answers are kind of same, so (d) is the answer for your question
if this helped you please brainliest?
Answer:
A
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
–4, –3, 2, 3, 4
Which are actual roots of f(x)
Answer:
The answer is 3 and (-4).
Step-by-step explanation:
We are given an equation 2x² + 2x – 24.
Let us assume that the equation is equal to zero.
2x² + 2x – 24 = 0
Now, divide whole equation by 2 we get,
x² + x – 12 = 0
x² + 4x – 3x – 12 = 0
x(x + 4) – 3(x + 4) = 0
(x – 3) (x + 4) = 0
x = 3, -4
Thus, The actual roots of f(x) are 3 and (-4).
Answer:
-4 AND 3
Step-by-step explanation: