Step-by-step explanation:
Multiply one of them by each of the terms in the other, then distribute. Finally, combine like terms.
(ax + b) (cx² + dx + e)
ax (cx² + dx + e) + b (cx² + dx + e)
acx³ + adx² + aex + bcx² + bdx + be
acx³ + (ad+bc) x² + (ae+bd)x + be
What is the total surface area
A.640
B.264
C.320
D.525
Answer:
B. 264
Step-by-step explanation:
Although the figure may look odd, This is just a square pyramid on it's side.
So, to find the surface area, we need to find the area of the base and the area of the faces and add them together.
To find the area of the base:
Since the base is a square, all we have to do is multiply 8 by itself.
8 * 8 = 64
The area of the base is 12.5 in^2
To find the area of the faces:
Since the faces are triangles, we have to multiply the length by the height and divide by 2.
8 * 12.5 = 100
100/2 = 50
The area of one face is 50 in^2
To find the surface area:
Add the area of the base to the area of all 4 sides.
64 + 4(50)
64 + 200 = 264
The surface area of the pyramid is B. 264 in.^2
A wholesaler sells rolls of fruit snacks in two sizes of bags. The table shows the number of rolls that come in each bag. Write an expression that could be used to determine the number of rolls in 3 large bags and 2 small bags. Then find the number of rolls.
Answer:
3 × 10 = 30 2 ×5 = 10
Step-by-step explanation:
30 + 10 = 40 rolls
Mr. Fletcher is looking at a 0.5 millimeter section of plant under a microscope.
The plant section appears enlarged by a scale factor of 10 when looking through the
microscope. He uses the camera on the microscope to photograph what is seen through
the lenses at a scale factor of 20. What is the length of the section of plant in the
photograph?
Answer:
10?
Step-by-step explanation:
20 • .5= 10
You are choosing between two health clubs. Club A offers membership for a fee of $28 plus a monthly fee of $24. Club B offers membership for a fee of $35 plus a monthly fee of $17. After how many months will the total cost of health club A be at least the total cost for Club B
Answer:
The cost will be the same after 1 month
Step-by-step explanation:
Step 1: set up the equation
club A= 28x+24 club B= 35x+17
club A=club B: 28x+24=35x+17
Step 2: Get rid of the smallest X
28x+24=35x+17
-28 -28
24=7x+17
Step 3: Get rid of the constant next to the variable to isolate the variable
24=7x+17
-17 -17
7=7x
Step 4: Inverse operation to remove variable
7÷7x=7x÷7x
1=1
I hope this helped, im not too good at explaining but im positive the solution is correct.
Answer:
With $35, a member is paying 100%.
Since the reduction is 5%, that means his is paying now 95% of $35,
that means $35 x 0.95 = $33.25, So the decrease in fees is 35-33.25 = $1.75
Another method: the reduction was 5% on the $35 or 5% x 35 = 0.05x35=$1.75
Step-by-step explanation:
What is the minimum volume of hot air needed to lift a hot air balloon carrying 800kg
Answer:
The minimum volume of hot air needed to lift a hot air balloon carrying 800kg
Is 653.1m³
Step-by-step explanation:
This problem bothers on the density of materials in this problem air
Given data
Volume of air V=?
Mass of air m= 800kg
From tables the density of air is
ρ =1.225 kg/m3
Now to solve for the volume we have
ρ=m/v
v=m/ρ
v=800/1.225
Volume v = 653.1m³
Use the data to find the interquartile range.
Number of Points Scored at Ten Basketball Games
64 38 50 71 60 58 47 55 70 45
Answer:
17
Step-by-step explanation:
The Interquartile range is the difference between the Quartile 1 and 3. Those quartiles are the median of the left and right side.
Ex: 1, 2, 3, 4, 5
Median = 3, so quartile 1 = median of left side of 3 and quartile 3 = median of right side of 3
First we should organize the data from least to greatest.
38 < 45 < 47 < 50 < 55 < 58 < 60 < 64 < 70 < 71
The median is 56.5.
Quartile 1 = 47
Quartile 3 = 64
64-47 = 17
Hope this helps!
Answer:
Q1 is 38,45,47,50,55
Q2 is 58,60,64,70,71
middle numbers are 47 and 64
64-47=17
Step-by-step explanation:
The circumference of a hubcap of a tire is 81.58 centimeters. Find the area of this hubcap
Answer:
Step-by-step explanation:
Answer:
About 530cm²
Step-by-step explanation:
C=2×pi×radius
81.58=2×3.14×radius
81.58=6.28r
81.58÷6.28=6.28r÷6.28
About 12.99cm is radius.
A=pi×radius²
A=3.14×12.99²
A=3.14×168.7401
A=529.843914
Area is about 530cm²
A box of candy contains 24 chocolates that are all the same shape, size, and color. Ten of the chocolates have vanilla cream centers, six have chocolate cream centers, and the
rest have caramel centers. What is the probability of randomly selecting a chocolate with a caramel center?
A. 1/4
B. 1/3
C. 5/12
D. 2/3
Answer:
b
Step-by-step explanation:
Answer:
B. 1/3
Step-by-step explanation:
We know that:
- There are 24 total chocolates
- 10 + 6 of them do not have caramel centers, the rest of them do.
The first step is to evaluate how many chocolates have caramel centers. To do this, add 10 and 6.
10 + 6 = 16
Now, subtract that number from 24 to get the amount of chocolates with caramel centers.
24 - 16 = 8
8 of the chocolates have caramel centers. This means that the ratio of caramel centered chocolates to all chocolates is 8:24, or 8 out of 24.
Since the question is looking for a fraction answer, convert the ratio to a fraction. 8:24 becomes 8/24.
Now, simplify the fraction. 8/24 becomes 1/3.
The final answer is 1/3.
Please help ASAP this is very important
And please hurry
What is the area of the triangle?
6 ft
b=3.6 ft
h=4.8 ft
A=8.64 ft?
B=10.8 ft
C=14.4ft?
D=17.28 ft?
The right answer is of option A.
Look at the attached picture ⤴
Hope it will help u..
Answer:
A = 8.64ft
Step-by-step explanation:
Use the triangle formula. Do:
A = hb/2 (A = area, h = height, b = base) after using this formula you should end up with 8.64ft
Which sets can be represented using the Venn diagram below?
Answer:
There is no Venn Diagram!
Step-by-step explanation:
There is no answer, where is the Venn Diagram?
A= {animals}; B= {mammals} or C
Please help don’t understand
Answer:
D
Step-by-step explanation:
The histograms below show the heights (in meters) of the tallest buildings in China and the United States.
Which pieces of information can be gathered from these histograms?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The United States has the tallest building of these two countries.
(Choice B)
B
China has more buildings over 390390390 meters tall.
(Choice C)
C
None of the above
Information on the number of tall buildings and their heights in China and the United States can be interpreted from the histograms, with specific focus on the tallest buildings and the number surpassing the 390-meter mark.
Explanation:From the provided histograms comparing the heights of the tallest buildings in China and the United States, several pieces of information can be gathered. If the histograms indicate that the tallest bar on the chart for China is over the 390-meter mark and more numerous compared to the United States' histogram, then Choice B would be correct, indicating that China has more buildings over 390 meters tall. To verify Choice A, we would need to look at the highest point on both histograms; if the highest bar on the U.S. histogram extends further than the Chinese one, then it would mean the United States has the tallest building of the two. Without seeing the histograms, these judgments are based on typical interpretations of histogram data.
When considering data on tall buildings such as the number of stories and their height, constructing a histogram can help illustrate the frequency distribution of these heights. For example, using the rule of thumb that one story is approximately equal to the height of two adult humans, it is possible to establish some basic estimates for building heights. However, for detailed statistical analysis, including the identification of linear relationships or outliers, the data would need a closer examination, possibly using a least-squares or best-fit line.
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
y − 1 = −2(x − 4)
y – 1 = Negative one-half(x – 4)
y – 1 = One-half(x – 4)
y − 1 = 2(x − 4)
Given:
The line parallel to the given line containing the points (-3,3) and (-2,1).
Also, the parallel line passes through the point (4,1).
We need to determine the equation of the line in slope - intercept form.
Slope:
Since, the two lines are parallel, then their slopes are equal.
Thus, the slope of the parallel line can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points (-3,3) and (-2,1), we get;
[tex]m=\frac{1-3}{-2+3}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Thus, the slope of the line is [tex]m=-2[/tex]
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;
[tex]y-1=-2(x-4)[/tex]
Thus, the equation of the line is [tex]y-1=-2(x-4)[/tex]
Hence, Option a is the correct answer.
To find the equation in point-slope form of a line parallel to the given line and passing through a point, we use the fact that parallel lines have the same slope.
Explanation:To find the equation in point-slope form of a line parallel to the given line and passing through the point (4, 1), we need to use the fact that parallel lines have the same slope.
The given line has an equation in point-slope form as y - 1 = -2(x - 4). The slope of this line, which is -2, will be the slope of the parallel line we are looking for.
Using the point-slope form equation y - y1 = m(x - x1), and substituting the values y1 = 1, x1 = 4, and m = -2, we can write the equation as y - 1 = -2(x - 4).
Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units follow. The company targets a profit of $315,000 on this product.
The price per unit can be determined by adding the total cost of production to the target profit and then dividing by the quantity produced. This assumes the market will tolerate this price.
Explanation:In order to determine pricing in Steeze Co., using the total cost approach, you would need to add the total cost of producing the units to the target profit and then divide by the quantity to get the price per unit. Here's the step-by-step calculation:
Add the total cost of producing 10,500 units to the target profit: Total Costs + Target Profit = Total Cost to RecoverCalculate the unit cost: Total Cost to Recover / Quantity of Units Produced = Price Per UnitThe result provides the price point Steeze Co. needs to set to meet its profit target given its production costs and quantity. Note: This assumes the market will tolerate this price; market factors and consumer willingness to pay also need to be considered.Learn more about Cost-Based Pricing here:
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Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.
She uses her ruler to draw a 4 inch line segment .
She uses her compass to draw a circle around point with radius 3 inches
She draws another circle, around point with radius 5 inches.
Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
ΔABC and ΔABD are the required Triangle.
What is Construction?Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this. Perpendicular bisector and angle bisector are the fundamental constructions.
We have,
Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.
Elena should find the intersection of two circles at point C and point D.
Connect point B and C, A and C or connect them.
ΔABC and ΔABD are the required Triangle.
Learn more about Construction here:
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THIS WILL BE 10 POINTS PER Q, SO IF YOU COULD HELP ANSWER THESE ALL, I WOULD LOVE YOU FOREVER :')
1) A bedroom is 10ft by 12f with 8ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 338.56, B) 438.56, or C) 538.56
2) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put vinyl flooring in this room?
Choices: A) 1,478.40, B) 1,878.20, or C) 1,678.40
3) A bedroom is 10ft by 12ft with 8ft high walls
How much would it cost to put padding and carpet in this room?
Choices: A) 2,295.60, B) 2,095.60, or C) 2,495.60
4) A kitchen is 12ft by 14ft with 10ft high walls
How much would it cost to put wallpaper in this room?
Choices: A) 795.60, B) 895.60, or C) 995.60
1. C. 538.56
2. A. $1478.40
3. A. $2295.60
4.A. $795.60
WHOEVER FINISHES FIRST I WILL MARK AS BRAINLIEST!!!!
Which number is equivalent to 6%? Select all that apply.
A. 6.0
B. 0.06
C. 0.6
D. 6/100
E. 3/50
Answer:
B. 0.06
D. 6/100
E. 3/50
Read the passage from "The Walrus and the Carpenter."
The sun was shining on the sea,
Shining with all his might:
He did his very best to make
The billows smooth and bright —
And this was odd, because it was
The middle of the night.
Which of the elements of poetry best contribute to the sound of the poem?
A.) The sound creates personification.
B.) The sound contributes to the poem's theme.
C.) The sound makes the poem sillier.
D.) The sound makes the poem more formal.
Answer: i think the awnser is c
Step-by-step explanation: hope it helps
Answer:
the answer is The sound makes the poem more formal AKA C I hope this helps.
Find the rational zeros of the polynomial function. Then enter the function in factored form.
h(x)=6x^3-11x²-3x + 2.
The zeros are x __,__,__
Answer:
The zeros are -1/2, 1/3 and 2.
The factors are (x - 2)(3x - 1)(2x + 1)
Step-by-step explanation:
h(x)= 6x^3 - 11x² - 3x + 2 = 0
As the last term is 2 we try to see if +/-1 or +/- 2 are zeros
f(1) = -6, f(-1) = -18 so they are not zeros.
f(2) = 6*8 - 11*4 - 3(2) + 2
= 48 - 44 - 6 + 2
= 4 - 6 + 2
= 0.
So x = 2 is a zero and x - 2 is a factor.
Dividing by x - 2:
x - 2 ) 6x^3 - 11x² - 3x + 2 ( 6x^2 + x - 1 <--------Quotient
6x^3 - 12x^2
x^2 - 3x
x^2 - 2x
- x+ 2
-x + 2
Factoring the quotient:
6x^2 + x - 1
= (3x - 1)(2x + 1) = 0
x = 1/3, x = -1/2..
Solve the equation if 0 degrees<=x<=360 degrees.
cosx= -1/2
Answer:
Step-by-step explanation:
hello :
cosx= -1/2 0°≤x≤360°
x = 120°
x=240°
A tent company makes one type of tent that is shaped like a triangular prism.
The approximate dimensions of the tent are shown below.
Based on these dimensions, how much fabric is needed to make one tent,
including a floor?
Given:
The base of the triangle = 6 ft
The height of the triangle = 5 ft
The other two side of the triangle = 5.5 ft and 5.5 ft
The height of the prism = 9 ft
To find the measurement of the fabric to make the tent.
We need to find the surface area of the triangular prism.
Formula
The surface area of the triangular prism is
[tex]SA = bh+(a+b+c)H[/tex]
where, b be the base of the triangle
h be the height of the triangle
a and c be other two sides of the triangle
H be the height of the prism
Now,
Putting,
b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,
[tex]SA = (6)(5)+(6+5.5+5.5)(9)[/tex] sq ft
or, [tex]SA = 30+153[/tex] sq ft
or, [tex]SA = 183[/tex] sq ft
Hence,
Based on the given dimension 183 sq ft fabric is needed to make the tent.
Answer:
183 sq. ft. fabric is needed to make the tent.
Step-by-step explanation:
The base of the triangle = 6 ft
The height of the triangle = 5 ft
The other two side of the triangle = 5.5 ft and 5.5 ft
The height of the prism = 9 ft
To find the measurement of the fabric to make the tent.
We need to find the surface area of the triangular prism.
a=1/2bh 1/2(6)(5)*2=30
a=(6*5)+2(9*5.5)+(9*6)=183 sq. ft.
30+99+54=183 square ft.
Multiply the binomials (2x − 4) and (2x − 3). A) 4x2 − 14x + 12 B) 4x2 − 14x − 12 C) 4x2 + 2x − 12 D) 4x2 − 2x − 12
The right answer is of option A
look at the attached picture ⤴
Hope it will help you..
Answer option A
Step-by-step explanation:
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?
A) y = -4/3 x + 31.
y = 2 x + 7.
B) y = -4/3 x + 31/3
y = 2 x + 7.
C) y = -4/3 x + 31.
y = -2 x + 7.
D) y = -4/3 x + 31/3
y = -2 x + 7.
Answer:
B) y = -4/3 x + 31/3
y = 2 x + 7
Step-by-step explanation:
The equations above match the description given about them.
If this answer is correct, please make me Brainliest!
Hakeem is on a tour bus in Paris with his family he sees l'arc de triomphe at an angle of 34°. if the Arc is 162 feet tall, how far away is the bus? round to the nearest tenth.
a. 134.4 ft
b. 90.6 ft
c. 240.2 ft
d. 109.3 ft
Answer:
Side y = 109. 3
Step-by-step explanation:
Step 1 The two sides we are using are Opposite (y)
and Adjacent (162).
Step 2 SOHCAHTOA tells us to use Tangent.
Step 3 Put our values into the tangent function:
tan 34° = Opposite/Adjacent
= y/162
Step 4 Solve:
Start with: tan 34° = y/162
Swap: y/162 = tan 34°
Multiply both sides by 162: y = 162 tan 34°
y = 109.27
y = 109.27 (to 2 decimal places)
Side y = 109. 3
Maria collected r rocks.
Javier collected twice as many rocks as Maria and Pablo collected 5 less than Javier.
Answer:
2r-5
Step-by-step explanation:
Answer:
2r-5
Step-by-step explanation:
if an arc of 60 degrees has an arc length of 50pi what is the circumference
Answer: 300[tex]\pi[/tex]
Step-by-step explanation:
Let's use the arc-length formula to solve this problem, and plug in the values that we have. Arc length is 50[tex]\pi[/tex] and the arc is 60°
Arc-length = [tex]2\pi r (\frac{x}{360})[/tex]
[tex]50\pi =2\pi r(\frac{60}{360})[/tex]
Cancel the [tex]\pi[/tex] and simplify the fraction.
[tex]50 = 2r(\frac{1}{6})[/tex]
Simplify further.
[tex]50 = r(\frac{1}{3} )[/tex]
Pass the 3 to the other side.
[tex]150=r[/tex]
So our radius is 150.
To find the circumference, we use the formula [tex]2\pi r[/tex]
Plug in r.
[tex]2\pi (150) = 300\pi[/tex]
To find the full circumference of a circle, multiply the given arc length for 60 degrees (50π) by 6, yielding a total circumference of 300π.
Explanation:To find the circumference of a circle when given the arc length of a particular section, we can use the relationship between the arc's degree measure and the circle's total circumference. Since the arc length of 60 degrees is 50π, we recognize that 60 degrees is one-sixth of a circle's full 360 degrees. Therefore, to find the full circumference of the circle, we multiply the arc length by 6 (because 360° / 60° = 6).
50π times 6 equals 300π, which is the circumference of the circle. This process uses the fact that the circumference of the circle is proportionate to the circle's rotation angle, which completes at 360°, corresponding to an angle of 2π radians.
Find the value of X.
Answer:
x=37
Step-by-step explanation:
We know that the angles in a triangle must add to 180 degrees
So, the three angles: x, 3x-5 and x must be equal to 180
x+3x-5+x=180
Combine like terms
x+3x+x-5=180
5x-5=180
Add 5 to both sides
5x=185
Divide both sides by 5
x=37
Which equation represents a line with a slope of zero?
y = 2 x
y = negative one-half x + one-half
y = 4
x = negative 5 pPLS URRY
Answer:
y = 4
Step-by-step explanation:
This is a never changing equation that sets y as 4 no matter what, so it's a horizontal line, a slope of zero.
A restaurant needs four chairs for each table. Let c represent the number of chairs it needs if there are t tables. Which variable is dependent ? Which is independent? Write an equation to represent the relationship, (whoever is the first and has the correct answer gets 100 points and ill give you brainliest. PLEASE I NEED THIS TODAY)
Answer:
DV = numbers of chairs needed (c)
IV = number of tables (t)
IV × 4 = DV OR t × 4 = c
Step-by-step explanation:
DV dependent variable
IV independent variable
brainliest please?
The dependent variable means that it depends on how the independent variable is being manipulated. The independent variable is a variable that represents an amount that is being manipulated.
The dependent variable is "c" because it depends on the number of chairs it needs if there are t tables.
The independent variable is "t" because it manipulates the amount chair there are by the amount of tables there are.
Equation: 4t = c
4t represents the amount of chairs there are for the amount of tables there are. c represents the total amount of chairs.
Best of Luck!