Answer: [tex]158cm^2[/tex]
Step-by-step explanation:
You can use the following formula to calculate the surface area of the right rectangular prism:
[tex]SA = 2(wl +lh + hw)[/tex]
Where "w" is the width, "l" is the length, and "h" is the height.
Knowing that this rigth rectangular prism has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.
Then, the surface of the right rectangular prism is:
[tex]SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2[/tex]
Answer:
Surface area of prism = 158 cm²
Step-by-step explanation:
Points to remember
Surface area of rectangular prism = 2(lb + lh + bh)
Where l - Length, b - Breadth and h - Height
To find the surface area of prism
Here l = 8 cm, b = 3 cm and h = 5 cm
Surface area = 2(lb + lh + bh)
= 2[(8*3) + (8 * 5) + (3 *5)]
= 2[24 + 40 + 15]
= 2 * 79
=158 cm²
Surface area of prism = 158 cm²
Which graph represents a line with a siope of
and a y-intercept equal to that of the line y= 2x-22
Answers are on the picture.
Please Help Me On This
Answer:
last choice
Step-by-step explanation:
So the y-intercept is -2 and the slope is -2/3
The only choices I'm going to look at is first and last because they go through -2 on y-axis.
Now -2/3 is the slope that means the graph should be going down reading it left to right so the last choice,
50 points please with explanation
Answer:
no it is not a function
Step-by-step explanation:
it has no sequence and in order for a table to be a function it needs a sequence. look at X it goes from 1, 5, 7, then back down to 2 it has no correlation.
Answer:
no its not a function and ill explain why
Step-by-step explanation:
it has no sequenceand in order for a table to be a functionit needs a sequence. look at Xit goes from 1, 5, 7, then back down to 2 it has no correlation.
What is the slope of a line perpendicular to the line represented by the equation y=-2/5x+4/5
Answer:
[tex]\large\boxed{m=\dfrac{5}{2}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\\text{We have the equation of a line:}\ y=-\dfrac{2}{5}x+\dfrac{4}{5}\to m_1=-\dfrac{2}{5}.\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{-\frac{2}{5}}=\dfrac{5}{2}[/tex]
help me please!!!!!!!!!!!!!
Answer:
C. √xy\y
Step-by-step explanation:
Multiply the denominator and the numerator by the conjugate of the numerator to arrive at your answer.
each machine ch the bottling plant can fill several gallons of milk every 15 seconds . this sequence describes the number of gallons of milk each machine at the bottling plant can fill over time 12,24,36,48,80
Answer:
A-B-D-B
Step-by-step explanation:
Which of the following is the correct equation for this function?
A. y= (x+4)(x+2)
B. y=x^2+ 3x – 2
C. y+ 2 = – 2(x+3)^2
D. y+ 2 = 2(x+3)^2
The equation which is correct for the given function is:
D. [tex]y+2=2(x+3)^2[/tex]
Step-by-step explanation:By looking at the graph we observe that the graph of the function passes through the point (-4,0) , (-2,0) , (-3,-2)
A)
[tex]y=(x+4)(x+2)[/tex]
when x= -3 we have:
[tex]y=(-3+4)(-3+2)\\\\y=1\times (-1)\\\\y=-1\neq -2[/tex]
Hence, option: A is incorrect.
B)
[tex]y=x^2+3x-2[/tex]
when x= -2 we have:
[tex]y=(-2)^2+3\times (-2)-2\\\\y=4-6-2\\\\y=-4\neq 0[/tex]
Hence, option: B is incorrect.
C)
[tex]y+2=-2(x+3)^2[/tex]
when x= -2 we have:
[tex]y+2=-2(-2+3)^2\\\\y+2=-2[/tex]
[tex]y=-4\neq 0[/tex]
Hence, option: C is incorrect.
D)
[tex]y+2=2(x+3)^2[/tex]
We see that the graph of this equation matches the given graph of the function.
Answer:
D. y + 2 = 2(x+3)^2
Step-by-step explanation:
The value of one of Kevin's baseball cards was $6.00 when he first got it. The value of this card now is $15.00. What is the percent increase in the value of the card?
Answer: %150
Step-by-step explanation:
Percent increase = New Value - original value/ original value * 100
15 - 6/6 * 100
9/6 * 100
1.5 * 100
150
Find the area of a regular
polygon with 7 sides, an apothem
of 8 meters and a side length of
7.7 meters. Round to the nearest
tenth.
Answer:
215.6 m²
Step-by-step explanation:
The area (A) of a regular polygon is
A = [tex]\frac{1}{2}[/tex] perimeter × apothem
perimeter = 7 × 7.7 = 53.9 m, hence
A = 0.5 × 53.9 × 8 = 215.6 m²
Answer:
215.6 meters squared
Step-by-step explanation:
HURRY can a triangle can be constructed with angles measuring 115°,55°, and 20°? yes or no
Answer:
no
Step-by-step explanation:
The sum of the angles of a triangle must add to 180 degrees
115+55+20 = 190
This is not equal to 180 so it is not a triangle.
Answer:
No
Step-by-step explanation:
115°,55°, and 20° = 190° degrees and a triangle can only be 180° .
2x^2+7x=15 write in standard then factor the left side of the equation.
Answer:
see explanation
Step-by-step explanation:
Given
2x² + 7x = 15 ( subtract 15 from both sides )
2x² + 7x - 15 = 0 ← in standard form
To factorise the left side
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = + 7
The factors are + 10 and - 3
Use these factors to split the x- term
2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )
2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term
(x + 5)(2x - 3) ← in factored form
Two numbers have a sum of 24, and 7 times the first number minus the second number is equal to 16. What is the smaller number?
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = y
x + y = 24
7x - y = 16 Add these two equations
8x = 40 Divide by 8
8x/8 = 40/8
x = 5
The smaller number will be 5
================
5 + y = 24
y = 19
==================
Proof
7*5 - 19 = 16
35 - 19 = 16
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL MARK BRAINLIEST TO BEST DETAILED ANSWER
Minnie is doing a survey to find the time her classmates spend playing musical instruments. She asks the following question: Which student spends the most time playing musical instruments? Part A: Describe the data you would expect her to collect from this question. (5 points) Part B: Explain whether this is a statistical question. If this is not a statistical question, then modify the question to make it statistical. (5 points)
A. You would just get a lot of names back from people, thinking they have the most time playing instruments.
B. This question is not a statistically accurate question if you would like statistical answers back.
Statistical question definition:
A statistical question is one that can be answered by collecting data and where there will be variability in that data. For example, there will likely be variability in the data collected to answer the question,
The question to ask to get statistical answers back would be: How many hours do you play the instrument a day?
Each student would answer and you would see who has the most hours.
Final answer:
Minnie should collect quantitative data on the hours spent playing instruments by her classmates to determine who spends the most time. The original survey question is not statistical because it does not allow for analysis of a group trend, but changing the question to inquire about the typical number of hours spent by students each week would make it statistical.
Explanation:
Part A: Expected Data Collection
The data Minnie would expect to collect from her survey question would consist of quantitative information. Specifically, she should gather the number of hours each classmate spends playing musical instruments per week. This data allows her to determine which student spends the most time practicing.
Part B: Statistical Question Analysis
The question, "Which student spends the most time playing musical instruments?" is not a statistical question because it seeks a singular answer rather than understanding a trend, variation, or distribution within a group. To make it statistical, the question could be modified to: "How many hours do students typically spend playing musical instruments each week?" This revised question allows for the collection, analysis, and interpretation of data, which can lead to conclusions about the musical habits of Minnie's classmates.
Does anyone know the solution and answer to this question please ??!
Answer:
C
Step-by-step explanation:
Given the similarity ratio, then the
linear ratio of sides = linear ratio of perimeters.
Hence
ratio of perimeters = [tex]\frac{9}{4}[/tex]
If AC = 15 centimeters, and BC = 12 centimeters, which does AB equal?
a. 6
b. 8
c. 9
d. 10
What is 70% of 30?
7
15
20
21
Answer:
D. 21
Step-by-step explanation:
Hope I helped!
Your answer is for this question is 21
1.) To find 70% percent of 30 you simply multiply both. To do that you gotta first change the percent into a decimal by moving the point two types to the left.
70 = 70.0
2.) As you can see we change the percent into a decimal.
70% = .70
3.) Now we can multiply 30 by .70 which will give us an answer of 21.
Hope this helps!!!
Please Mark as Brainliest!!!
MARKING BRAINLIEST PLZ HURRY I CAN'T FLUNK!!!! :(
Match the equivalent expressions.
12 − 3y − 2x + x + 2x
3x + 2y − 2x + y + 12
x + 3y + 2x − 3x + 7 + 5
3y + 12
x − 3y + 12
5 + 2y + 7x − 4x + 3y − 17
4y + 3y + 3x − 6y − 10 − 2
3x + y − 12
x + 3y + 12
Answer:
Step-by-step explanation: The most important step to do is to simplify the equations down. We do this by finding common variables.
Common Variables are pairs such as 12x and 32x, and not 12x and 32y or 12 and 32.
1. [tex]12 -3y - 2x + x + 2x = 12 - 3y + x[/tex]
2. [tex]3x + 2y - 2x + y + 12 = 12 + 3y + x[/tex]
3. [tex]x + 3y + 2x - 3x + 7 + 5 = 12 + 3y[/tex]
4. [tex]12+ 3y[/tex] cannot be simplified any further.
5. [tex]12-3y+x[/tex] cannot be simplified any further.
6. [tex]5 + 2y + 7x - 4x + 3y - 17 = -12 + 5y + 3x[/tex]
7. [tex]4y + 3y + 3x - 6y - 10 - 2= -12+3x+y[/tex]
8. [tex]-12 + 3x + y[/tex] cannot be simplified any further.
9. [tex]12+ 3y + x[/tex] cannot be simplified any further.
Now, we start to match the equations.
Equation 1 is the same as Equation 5
Equation 2 is the same as Equation 9
Equation 3 is the same as Equation 4
Equation 6 is the same as none of them.
Equation 7 is the same as Equation 8.
And there you are have it!
If m∠A = (3x-6)° and m∠B = (x + 9)°, find the m∠D.
A) 32°
B) 39°
C) 41°
D) 49°
E) None of the above
Because line BD goes through the center of the circle Angle A is a right angle which equals 90 degrees.
Set the equation for A to equal 90 and solve for x:
3x-6 = 90
Add 6 to each side:
3x = 96
Divide both sides by 3:
x = 32
Now we have a value for x , use that to solve for angle b:
B = x +9 = 32 + 9 = 41 degrees.
Now we know A and B, we can solve for D.
The three inside angles of a triangle need to equal 180.
D = 180 - 90 - 41 = 49 degrees.
The answer is D) 49
camille purchased 4.2 pounds of gummy worms for $1.75 per pound and 3.6 pounds of jelly beans for $2.25 per pound. how much did she spend for the candy? F. $15.45. G. $14.45. H. $15.25. I. $14.35.
Answer:
$15.45 (Answer F)
Step-by-step explanation:
Total expenditure was ($1.75/lb)(4.2 lb) + ($2.25/lb)(3.6 lb) = $15.45
Please answer ASAP. You begin with 1/2 scoop of ice cream. Since you're hungry, you ask the vendor for 2/7 more scoops of ice cream. Then, you eat 5/8 scoops. How many scoops of ice cream are left on your cone? I will mark Brainliest for first correct answer.
Answer:
9/56
Step-by-step explanation:
[tex] \frac{1}{2} + \frac{2 }{7} - \frac{5}{8 } = \frac{9}{56} [/tex]
HELP ASAP PLEASE
14. The first term of a geometric series is 2 and the common ratio is 4. Write a rule to find the nth term. Find the 14th term of the sequence.
The rule for nth term will be [tex]\rm a_n = 2\times 4^{n-1}[/tex] and the 14th term of the sequence is 134217728.
What is Geometric series ?The series which can be written in the form of
[tex]\rm a_n = a_1 \times r^{n-1}[/tex]
nth term, a₁ is the first term, and r is the common ratio.
is called geometric series/
It is given in the question that
The first term of a geometric series is 2 and the common ratio is 4.
The rule for nth term will be
[tex]\rm a_n = 2\times 4^{n-1}[/tex]
To find the 14th term of the sequence.
[tex]\rm a_{14} = 2\times 4^{14-1}\\\\\rm a_{14} = 2\times 4^{13}\\\\a_{14}= 2 \times67108864 \\\\\\a_{14}= 134217728[/tex]
Therefore the 14th term of the sequence is 134217728.
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To find the nth term of a geometric series with first term 2 and common ratio 4, the formula [tex]a * r^(n-1)[/tex] is used.
For the 14th term, apply 2 * [tex]4^(13)[/tex] to get 134,217,728.
The student has asked for the rule to find the nth term of a geometric series and for the 14th term specifically. The first term is given as 2, and the common ratio is 4.
In a geometric series, the nth term is found using the formula[tex]a * r^(n-1)[/tex], where a is the first term and r is the common ratio. To find the 14th term, we would use the formula [tex]2 * 4^(14-1)[/tex].
Let's calculate the 14th term:
Substitute the given values into the formula: 2 * [tex]4^(13)[/tex].Calculate 4 raised to the 13th power, which is 67,108,864.Multiply this result by the first term, which is 2, to get the 14th term: 134,217,728.Therefore, the 14th term of the sequence is 134,217,728.
What is this functie
f(x) = 2x + 5
complete the table for the given rule. rule: y=2x
Answer:
x | y
-2| -4
-1 | -2
0 |0
1 | 2
2 | 4
Step-by-step explanation:
if a polynomial function f(x) has roots 0,4,and 3+ √11,what must also be a root of f(x) 3+i√11
Answer:
3 - [tex]\sqrt{11}[/tex]
Step-by-step explanation:
Radical roots occur in conjugate pairs.
3 + [tex]\sqrt{11}[/tex] is a root then so is 3 - [tex]\sqrt{11}[/tex]
Answer:
[tex]3-\sqrt{11}[/tex]
Step-by-step explanation:
The function [tex]f(x)[/tex] has a grade of 4, becaus it has 4 roots.
Now, if one of its roots is [tex]3+\sqrt{11}[/tex], it means there fourth is [tex]3-\sqrt{11}[/tex], because square roots have two results, one positive and one negative.
So, the function cannot have a positive square root solution and not have a negative root solution.
Therefore, the right answer is [tex]3-\sqrt{11}[/tex].
A circular spa has a 12 foot diameter and a constant depth of 3.5 feet. What is the water
volume of this spa?
volume of a circular spa : v = πr²h
v= 3.14 x 6 x 6 x 3.5 = 395.64
Measure the circular base to get the diameter.Divide the diameter by 2 to get the radius.Calculate the area with the formula: A = πr^2, where r is the radius.Measure the height of the cylinder.Multiply the area by the height to get the Volume.The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.
Calculate the area of the circular baseTo the formula for finding the area of a circle, A = πr2.[6] Just plug the radius you found into the equation. Here's how to do it:
A = π x 12
A = π x 1
A = π
Since π is normally rounded to 3.14, you can say that the area of the circular base is 3.14 in.2
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Two students were asked if they liked to read. Is this a good example of a statistical question? Why or why not?
Yes, this is a good statistical question because a variety of answers are given.
Yes, this is a good statistical question because there are not a variety of answers that could be given.
No, this is not a good statistical question because there are not a variety of answers that could be given.
No, this is not a good statistical question because there are a variety of answers that could be given. First gets brainiest
Answer:
Yes, this is a good statistical question because a variety of answers are given.
Step-by-step explanation:
A question can be called a good statistical question because of the variety of the answers it can bring to data. The answers to the same question will be different for different people.
Hence,
Yes, this is a good statistical question because a variety of answers are given ..
Answer:
C
Step-by-step explanation:
Did Unit Test Review B)
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
8 12, 15
10, 24, 26
12, 20, 25
15.18 20
What are the solutions for x when y is equal to 0 in the following quadratic
function?
y = x ^+ 6x +12
OA) X = 3 or x = 4
OB) x= -3 or x = 4
OC) x= 3 or x = 4
OD) x= -3 or x = 4
O E) no solution
Answer:
The correct answer option is E) No solution.
Step-by-step explanation:
We are given the following quadratic equation which we are to solve for x when the value of y is 0:
[tex]y = x ^2+ 6x +12[/tex]
[tex]x ^2+ 6x +12=0[/tex]
Using the quadratic formula since there are no factors:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac }}{2a}[/tex]
Substituting the values in the formula to get:
[tex]x=\frac{-6 \pm \sqrt{6^2-4(1)(12) }}{2(1)}[/tex]
[tex]x=-3+\sqrt{3}i[/tex] or [tex]x=-3-\sqrt{3}i[/tex]
There are no real number solutions to this quadratic equation.
solve x - 3 = 7
3 - 3 = 7
x - 3 ___ = 7 ____
x ___ = ___
x = ___
Hi,
x - 3 = 7
x = 7 + 3
x = 10
Type in the correct answer. What is the slope of line m?
Answer:
[tex]-\dfrac{1}{2}[/tex]
Step-by-step explanation:
In the given graph of straight line to find the slope of the line.
First we choose two points on line and then using formula to find the slope.
Formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Point on line from graph: (2,-1) and (-2,1)
[tex]x_1\rightarrow 2[/tex]
[tex]y_1\rightarrow -1[/tex]
[tex]x_2\rightarrow -2[/tex]
[tex]y_2\rightarrow 1[/tex]
Substitute the points into formula
[tex]m=\dfrac{1+1}{-2-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Hence, The slope of the line is [tex]-\dfrac{1}{2}[/tex]
The slope (m) of the line passing through the points (-2, 1) and (2, -1) is -1/2.
The slope of a line is a measure of its steepness or incline. It determines how much the line rises or falls for each unit of horizontal change. Mathematically, the slope is defined as the ratio of the vertical change (the difference in y-coordinates) to the horizontal change (the difference in x-coordinates) between any two points on the line.
The slope is typically denoted by the letter "m" and can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two distinct points on the line.
The slope can be positive, negative, zero, or undefined. A positive slope indicates that the line is upward-sloping from left to right, a negative slope indicates a downward-sloping line, a zero slope indicates a horizontal line and an undefined slope indicates a vertical line. The magnitude of the slope represents the steepness of the line.
To find the slope (m) of a line passing through two points (x1, y1) and (x2, y2), you can use the formula:
m = (y2 - y1) / (x2 - x1)
In this case, the points are (-2, 1) and (2, -1). Let's substitute the values into the formula:
m = (-1 - 1) / (2 - (-2))
= (-2) / (2 + 2)
= (-2) / 4
= -1/2
Therefore, the slope (m) of the line passing through the points (-2, 1) and (2, -1) is -1/2.
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Josh wants to buy 15 pounds of shrimp and 10 pounds of crawdads. He has 4 buckets that can each hold 6 pounds. How many pounds of shrimp and crawdads will not fit in the 4 buckets?
1 pound
Step-by-step explanation:
15+10=25
25÷6=24.1