Answer:
5400 cm^3
Step-by-step explanation:
Volume = Base Area * H
Base area is the area of a square with one side = 30 cm
H = 6cm
Base Area = s^2
Base Area = 30^2 = 900
Volume = 900 * 6
Volume = 5400 cm^3
Answer:
1800 cm³
Step-by-step explanation:
Recall that the formula for the area of a square is A = s², where s is the side length.
Here, that area is A = (30 cm)²2.
The formula for the volume of a square pyramid is:
V = (1/3)(base area)(height)
= (1/3)(30 cm)²2*(6 cm)
= (1/3)(900 cm²)(6 cm) = 1800 cm³
The volume of this pyramid is 1800 cm³.
Please explain and help im giving away 20 points!
Answer:
B:960cm^3
Step-by-step explanation:
12*8=96
96/2*20=960∴
ans:960cm^3
The terms of a sequence increase by a constant amount. If the first term is 7 and the fourth term is 16: list the first six terms of the sequence
Answer:
Step-by-step explanation:
s = sequence
[tex]s_{1}[/tex] = first term of sequence
[tex]s_{1}[/tex] = 7
[tex]s_{4}[/tex] = 16
Find the difference between the term number and the values.
Terms:
4 - 1 = 3
Values:
16 - 7 = 9
For every 3 terms, you add 9.
Divide, to find the amount you add for 1 terms.
3 / 3 = 1
9 / 3 = 3
For every 1 terms, you add 3.
Answer:[tex]s_{1}[/tex]= 7
[tex]s_{2}[/tex]= 10
[tex]s_{3}[/tex]= 13
[tex]s_{4}[/tex]= 16
[tex]s_{5}[/tex]= 19
[tex]s_{6}[/tex]= 22
convert 8.25% to a decimal
8.25 divided by 100=0.0825
Which method is the most effective method to use to solve x^2+4x+3=0
Answer:
Completing the square.
Step-by-step explanation:
since there is no "a" term and the bx term is even, completing the square is your best bet.
For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.
These numbers are:
3 and 1.[tex]3 + 1 = 4\\\\3 * 1 = 3[/tex]
So, we have to:
[tex]x ^2 + 4x + 3 =\\(x + 3) (x+1)[/tex]
Answer:
[tex](x + 3) (x + 1)[/tex]
Lines a and b are perpendicular. The slope of line a is −2. What is the slope of line b?
Answer:
1/2
Step-by-step explanation:
if the one line's slope is m = –2, then the perpendicular line's slope will be m= 1/2 (the slope of a perpendicular line is the reciprocal of the slope of the first line)
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I will call [tex]m_{a}[/tex] the slope of line [tex]a[/tex], and [tex]m_{b}[/tex] the slope of line [tex]b[/tex].
For two lines to be perpendicular, the following must be satisfied:
[tex]m_{a}*m_{b}=-1[/tex]
in this case we know:
[tex]m_{a}=-2[/tex]
so:
[tex](-2)*m_{b}=-1[/tex]
And clearing for the slope of line [tex]b[/tex]:
[tex]m_{b}=\frac{-1}{-2} \\m_{b}=\frac{1}{2}[/tex]
The slope of the line [tex]b[/tex] which is perpendicular to line [tex]a[/tex] is [tex]\frac{1}{2}[/tex]
the perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)
Answer:
2x+3y
Step-by-step explanation:
first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.
Carl earned $40 for 5 hours of mowing lawns. He earned $35 for 7 hours of babysitting.
Which statement correctly compares Carl’s earnings per hour for mowing lawns and
babysitting?
Answer:49,000
Step-by-step explanation:you just multiply it
Answer:
He earned $3 per hour for mowing lawns.
Step-by-step explanation:
I did the assignment
please answer it is math
Answer:
The maximum number of points is [tex]140\ points[/tex]
Step-by-step explanation:
we know that
Essay question represent the 10% on Mrs. Moore's English final exam
so
To find the number of points in Essay questions multiply the percent by total questions and then multiply by the value of 10 points each
[tex]10\%=10/100=0.10[/tex]
[tex]0.10*50=5\ Essay\ questions[/tex]
[tex]5*10=50\ points[/tex]
The remaining questions are
[tex]50-5=45\ questions[/tex]
To find the number of points in the remaining questions multiply the number of remaining questions by the value of 2 points each
[tex]45*2=90\ points[/tex]
therefore
The maximum number of points is
[tex]50\ points+90\ points=140\ points[/tex]
QUICK !!
What is the image point of (-9,5) after a translation right 3 units and down 2 units ?
Answer:
(-6, 3)
Step-by-step explanation:
What you do is based off the image point (-9, 5). What you do is you go 3 units right which is like -9+3=-6. Then you will go 2 units down which is like 5-2=3.
(-6, 3) is your answer.
The image point of (-9,5) after a translation right 3 units and down 2 units is (-6,3).
We add 3 to the x-coordinate for the right translation and subtract 2 from the y-coordinate for the downward translation.
The image point of (-9,5) after a translation right 3 units and down 2 units can be found by changing the x-coordinate and the y-coordinate according to the translation vectors. Since we are moving right, we add 3 to the x-coordinate, and since we are moving down, we subtract 2 from the y-coordinate. The step-by-step process is:
Translate right 3 units: Add 3 to the x-coordinate (-9). So, -9 + 3 = -6.
Translate down 2 units: Subtract 2 from the y-coordinate (5). So, 5 - 2 = 3.
Therefore, the image point after the translation is (-6,3).
A circular pizza is being made that will fit in a box that is 14 inches by 16 inches. A 2-inch border is needed between the edge of the box and the pizza. What is the radius, in inches, of the largest pizza that can fit in the box?
Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.
Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.
The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)
And the radius is = [tex]\frac{10}{2}=5[/tex] inches.
So, the largest pizza that can fit in the box will have a radius of 5 inches.
To divide a figure (such as an angle or line segment) in half is to __it
Answer: bisect
Step-by-step explanation:
A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.
An angle that is bisected is divided into 2 congruent (equal) angles.
Mr Gan has fewer than 20 candies.He wants to pack them into plastic bags.If he packs 3 candies in each bag,he will have 4 extra candies left over.If he packs 5 candies in each bag,he will be short of 2 candies.How many candies does he have?
Answer:
y = 13
Step-by-step explanation:
If Mr Gan packs 3 candies in each bag, he will have 4 extra candies left over. Therefore
3x + 4 = y
where 'x' represents the number of bags, and 'y' the total number of candies he has.
If Mr. Gan packs 5 candies in each bag, he will be short of 2 candies.
5x - 2 = y
To find the number of candies he has, we need to solve the system of equations ove:
3x + 4 = 5x - 2
6 = 2x
x = 3
Now, to find 'y':
5(3) - 2 = y
y = 13
Therefore, Mr. Gan has 13 candies.
Mr. Gan could have 7, 10, 13, or 16 candies.
Explanation:Let's assume that Mr. Gan has x candies.
If he packs 3 candies in each bag, he will have 4 extra candies left over. This means that the total number of candies can be expressed as 3n + 4, where n is the number of bags. Since we know that Mr. Gan has fewer than 20 candies, we can set up the inequality:
3n + 4 < 20
Solving this inequality, we find that n < 5.
If he packs 5 candies in each bag, he will be short of 2 candies. This means that the total number of candies can be expressed as 5m - 2, where m is the number of bags. Using the same reasoning, we can set up the inequality:
5m - 2 < 20
Solving this inequality, we find that m < 4.
Combining the two inequalities, we know that n < 5 and m < 4. Since n and m represent the number of bags, they must be positive integers. So the possible values for n are 1, 2, 3, and 4, and the possible values for m are 1, 2, and 3.
If we substitute these values into the equations, we can find the corresponding number of candies:
If n = 1, then 3n + 4 = 7 candies.
If n = 2, then 3n + 4 = 10 candies.
If n = 3, then 3n + 4 = 13 candies.
If n = 4, then 3n + 4 = 16 candies.
If m = 1, then 5m - 2 = 3 candies.
If m = 2, then 5m - 2 = 8 candies.
If m = 3, then 5m - 2 = 13 candies.
Since Mr. Gan has fewer than 20 candies, the only possible values for the number of candies he has are 7, 10, 13, and 16.
*15 points
A squirrel jumps straight up with an initial vertical velocity of 16 feet per second. How many times does the squirrel reach a height of 4 feet? Explain your answer.
Final answer:
The squirrel reaches a height of 4 feet twice during its trajectory: once on the way up and once on the way down due to symmetrical motion.
Explanation:
The squirrel will reach a height of 4 feet twice during its trajectory. To understand why, let's analyze the motion. The squirrel's vertical motion can be described by the equation [tex]\( h(t) = h_0 + v_0t - \frac{1}{2}gt^2 \),[/tex] where [tex]\( h(t) \)[/tex] is the height at time[tex]\( t \), \( h_0 \) is the initial height, \( v_0 \) is the initial velocity, and \( g \) is the acceleration due[/tex] to gravity.
Given that[tex]\( h_0 = 0 \), \( v_0 = 16 \) ft/s, and \( g = 32 \) ft/s^2,[/tex] we can plug in these values to find the times at which the squirrel reaches a height of 4 feet. Solving the equation[tex]\( h(t) = 4 \) for \( t \),[/tex] we get two solutions:[tex]\( t = 1 \) second and \( t = 3 \)[/tex] seconds. This means the squirrel reaches a height of 4 feet once on its way up and once on its way down. So, the squirrel reaches a height of 4 feet twice.
Given a mean of 100, and a standard deviation of 5.3, what is the Z-score for 130?
Answer:
5.66038
Step-by-step explanation:
Given
Mean= μ=100
SD= σ=5.3
Z-score of 130= ?
The z-score of any value tells us that how many standard deviations that value is from the average or mean.
The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.
z-score= (x- μ)/σ
z-score of 130= (130-100)/5.3
=30/5.3
=5.66038
Analyze the diagram below and complete the instructions that follow. Find the surface area of the rectangular prism. Round your answer to the nearest hundredth. A. 157.89 cm^2 B. 306.95 cm^2 C. 346.16 cm^2 D. 347.45 cm^2
Answer: OPTION D
Step-by-step explanation:
To solve this problem you must apply the formula for calculate the surface area of the rectangular prism:
[tex]SA=2(wh+lw+lh)[/tex]
Where w is the width, h is the heigh and l is the lenght.
Based on the rectangular prism shown, you have that:
[tex]w=9.08cm\\h=3.23cm\\l=11.73cm[/tex]
Finally when you substitute values into the formula you obtain the following result:
[tex]SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2[/tex]
Answer:
D
Step-by-step explanation:
The surface area is the area of all the surfaces, together.
A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.
There are 2 faces with length 3.23 and width 9.08. So,Area = 2 ( 3.23 * 9.08 ) = 58.6568
There are 2 faces with length 11.73 and width 3.23. So,Area = 2 ( 3.23 * 11.73 ) = 75.7758
There are 2 faces with length 11.73 and width 9.08. So,Area = 2 ( 11.73 * 9.08 ) = 213.0168
Summing all of them up,
Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168
=347.4494
* Rounding to nearest hundredth, 347.45 cm ^2
someone help me out here asap the formula is v=lwh?
Answer:
V=8xxxyyy=8x³y³
Step-by-step explanation:
In the question, V=lwh, the value for l is given to us as 2xy. Because it is a cube, all of the length of the edges are the same, so l=w=h, which means w=2xy and h=2xy.
Plug in w=2xy h=2xy l=2xy into the equation V=lwh.
V=2xy·2xy·2xy
V=(2·2·2)(x·x·x)(y·y·y)
V=8xxxyyy=8x³y³
zoom in closely, pls help me
Answer: a = 11.1
Step-by-step explanation:
a(0.3 - y) + 1.1 + 2.4x = 0
Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x
(y - 1.2) = -1.2(x - 0.5)
Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]
a = 1.1 + 2.4x
[tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]
= 1.1 + 0.4(25)
= 1.1 + 10
= 11.1
Answer: I agree with 11.1
Step-by-step explanation:
please help me!!! who know the answer of this question?
Divide the volume by the height to find the area of the base:
3042 / 18 = 169 square cm
Since the base is square both the length and the width are the same,
so find the length take the square root of the base:
Side length = √169 = 13 cm
Miwa borrows $1250 for 1 year. At the end of the year, she pays $112.50 in interest. Find the rate of interest she was charged.
Answer: 10%
Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time
With the number in the formula, 112.50 = 1,250 x r x 1
Simplify:
112.50 = 1,250r
Divide both sides by 1,250:
.1 = r
Therefore, the rate is 10%
I’m very confused on how to solve this question help will be nice.
Answer:
see below
Step-by-step explanation:
Let q = number of quarters
Each quarter is worth .25
The total is 9.50
.25q = 9.50
Divide each side by .25
.25q/.25 = 9.50/.25
q =38
she has 38 quarters
Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x
Answer:
D
Step-by-step explanation:
An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.
3^1 = 3
3^2 = 9
This means that the function is y = 3^x.
the volume of a cylinder with a height of 25cm and a radius of 20cm
Answer:
5652 cm³
Step-by-step explanation:
V = 2πr² + 2πrh
= (2 × 3.14 × 3.14 × 20 ×20) + (2 × 3.14 × 20 × 25)
= 2512 + 3140
= 5652 cm³
Sequence of 2,4,7,17,33 what is the next term after 33
Answer:67
Step-by-step explanation:
Alfred and his 4 friends bought 13 1/4 pounds of gummy bears at $1.20 a pound. If the cost of the gummy bears is divided evenly among Alfred and his four friends, how much will each person pay?
Total cost
13 1/4 × $1.20
=53/4 × $1.20
=$15.90
Alfred + 4 friends = 5 person
So, each person must pay
$15.90÷5
=$3.18
Answer
$3.18
Using arithmetic simplification, the amount paid by each person since the cost is shared evenly is $3.18
The total cost of gummy bear :
13.25 pounds × $1.20 = $15.90Number of people involved = Alfred + 4 friends = 5
Since the cost is shared evenly ; the amount paid per person can be calculated thus :
Total cost ÷ 5Cost per person = $15.90 ÷ 5 = $3.18
Therefore, each person will pay a sum of $3.18
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Here is a picture of a cube, and the net of this cube. What is the surface area of this cube? Enter your answer in the box. cm² A cube and a net of the cube are shown. The edge length of the cube is labeled 13 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 13 centimeters.
Answer:
78 cm²
Step-by-step explanation:
since all sides are congruent you multiply the one measurement 6 times,so you do 13 × 6 equals 78
What is the answer to this?
Answer:
Opt. D. AB=WX
Step-by-step explanation:
If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.
Determine the volume of a sphere with a great circle of radius 12 cm.
Answer:
7238 cm³
Step-by-step explanation:
The radius of the great circle is the radius of the sphere.
The formula for the volume of a sphere is
V = ⁴/₃πr³
V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³
Volume is a three-dimensional scalar quantity. The volume of a sphere with a great circle of radius 12 cm is 7238.2295 cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface. It is a three-dimensional scalar quantity.
The volume of the sphere with a radius of 12 cm is,
The volume of the sphere = 4/3 πr³
= (4/3) × π × (12)³
= 7238.2295 cm³
Learn more about Volume:
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PLEASE PLEASE HELP ASAP
Answer:
I GOT U ITS C DIDN'T HAVE TIME TO WRITE EXPLANATION SEEMS U IN A HURRY
Step-by-step explanation:
may somebody help me please and thank you.
x^2+3x-8-2x^2+x-5
Collect Like Terms and Simplify
-x^2+4x-13
Therefore D is the correct answer
1226 divided by 6 step by step
Answer: 204.333333333
Step-by-step explanation:
Answer:
204.3
Step-by-step explanation:
6 cannot be divided by 1, so you move to the next number and divide it by 12
6 fits into 12 TWO times, so subtract 12 by 12.
Bring down the 2 from the original problem
6 cannot fit into 2, so the number is 0
Bring down the 6 from the original problem
6 fits into 26 FOUR times, there for the next answer number is four
If you need a remainder, there is a REMAINDER of 2
If you need a decimal, 0 will continue to be brought down, but nothing will fit into 20.
The decimal is .333 repeating
The attachment should make it more clear.