What is the volume of the figure? Enter the answer in the Box. In cubic centimeters
Answer:
264 cm³
Step-by-step explanation:
(5*5*8)+(*8*8*1)
200+64=
264 cm³
The volume of the figure 264 cubic centimeters.
What is rectangular prism?"It is a three-dimensional solid shape which has six faces that are rectangles."
Formula to calculate the volume of rectangular prism:V = l w h, where l is the length, w s the width and h is the height of the rectangular prism.
Given figure consists of two rectangular prisms.
For the smaller rectangular prism,
length(a) = 8 [tex]V_2= 8\times 5\times 5[/tex]cm, width(b) = 8 cm and height(h) = 1 cm
For the larger rectangular prism,
length(p) = 8 cm, width(q) = 5 cm and height(r) = 5 cm
Let [tex]V_1,V_2[/tex] represents the volume of the smaller and larger rectangular prisms respectively.
The volume of the smaller rectangular prism would be,
⇒ [tex]V_1=a\times b\times c[/tex]
⇒ [tex]V_1=8\times 8\times 1[/tex]
⇒ [tex]V_1=64[/tex] cu.cm.
The volume of the larger rectangular prism would be,
⇒ [tex]V_2=p\times q\times r[/tex]
⇒ [tex]V_2=8\times 5\times 5[/tex]
⇒ [tex]V_2 = 200[/tex] cu.cm.
The volume of the figure is:
= [tex]V_1+V_2[/tex]
= 64 + 200
= 264 cubic centimeters
The volume of the figure 264 cubic centimeters.
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1Ꮾx - 8 = 1Ꮞx +14
Solve for X
Answer:
x=11
Step-by-step explanation:
16x - 8 = 14x + 14
16x - 14x - 8 = 14x - 14x + 14
2x - 8 = 14
2x - 8 + 8 = 14 + 8
2x = 22
2x/2 = 22/2
x=11
. Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450
calories on the elliptical machine, Elijah switched to the treadmill. If he is burning 12.5 calories
per minute on the treadmill, find the total number of calories he will have burned during his
workout if he spends 30 minutes on the treadmill.
Answer:
375
Step-by-step explanation:
30*12.5 is equal to 15*25
15*25= 375
The total number of calories he will have burned during his workout if he spends 30 minutes on the treadmill will be 375 calories.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Elijah's workout at the gym consists of just the elliptical and treadmill. After burning 450 calories on the elliptical machine, Elijah switched to the treadmill.
The number of calories burnt will be calculated below,
30 x 12.5
15 x 25
15 x 25= 375 calories
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Two numbers are in the ratio 9:7 if one number is 324, what is the other number?
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 252}}}}[/tex]
Step-by-step explanation:
The ratio is 9 : 7
The first number is 324
Let's build the proportion for it.
9 : 7 = 324 : x [We've to find x]
Product of Extremes = Product of Means=> 9 * x = 324 * 7
=> 9x = 2268
Dividing both sides by 9
=> x = 252
So, The other number is 252.
Terry is filling spherical water balloons with a faucet that puts out 100cm^3 of water per second. At that rate, it takes Terry 6 seconds to fill a balloon.
What is the radius of a filled balloon?
Round to the nearest centimeter.
Answer:
To the nearest centimeter
Radius= 5 cm
Step-by-step explanation:
Rate of filling balloon= 100cm³/s
Time to feel the balloon= 6 s
Volume of the filed balloon
= Rate*time
= 100*6
= 600 cm³
Volume of balloon= 4/3πr³
Volume of balloon=600cm³
600= 4/3πr³
(600*3)/4π= r³
1800/4π= r³
450/π= r³
143.239 = r³
5.232= r
To the nearest centimeter
Radius= 5 cm
Answer:
5
Step-by-step explanation:
Volume:
(100)(6) = 600
Radius:
[tex]\frac{4}{3}[/tex] [tex]\pi[/tex][tex](r)^{3}[/tex] x [tex]\frac{/}{/\pi}[/tex]
[tex]\sqrt[3]{143.2}[/tex] = [tex]\sqrt[3]{r^{3} }[/tex]
= 5.2 = r
round it up = 5
SO: your answer is 5
Also I did it on khan
brainliest plz?
What is 4.26 + 1.3 ?
Answer:
5.56
Step-by-step explanation:
Answer:5 29/100
Step-by-step explanation:
The Sports Brand Company is making a new shoe that has a wholesale price of $40, and it wishes to advertise a retail price of $89.99. What is the markup percentage? Give answer to nearest whole percent. (hint: change decimal to percent, % will not be typed)
Answer:
Markup Percentage = 125%
Step-by-step explanation:
The wholesale price is $40, the "selling price" is $89.99.
90-40=50 (Profit)
Now that we know the profit , we need to find the percentage.
To find this percentage we can use the formula: (M=Markup percent)
[tex]M=profit/cost*100%[/tex]
In this situation, we can insert PROFIT= 50, Cost=40
M=50/40*100
= 1.25*100
=125%
After examining a child at his 2-year checkup, the boy's pediatrician said that the z-score for his height relative to other 2-year-olds in the country was 1.59. The pediatrician explains to the parents that the most extreme 5% of cases often require special treatment or attention. a) Does this child fall into that group? b) What do you need to assume about the heights of 2-year-olds to find your answer to part a? a) The child _______into this group because he is___________than_______ standard deviation from the mean.b) Choose al that apply. A. the distribution of heights is skewed B. the heights are independent C. the distribution of heights is symmetric D. the number of heights is very large E. the distribution of heights is unimodal
a)The child falls into the most extreme 5% group, we need to compare the z-score of 1.59 to the critical value for the 5th percentile.
b)The information to make assumptions about the skewness, symmetry, or the number of heights is not provided.
A z-score of 1.59 means that the child's height is 1.59 standard deviations above the mean height for 2-year-olds. To decide if the child falls into the most extreme 5% group, we need to find the critical value for the 5th percentile. The critical value corresponds to the z-score that separates the lowest 5% of the distribution from the rest.
b) To find the answer to part a we need to assume certain properties about the heights of 2-year-olds:
A. The distribution of heights is skewed - Skewness is not mentioned in the problem, so we cannot assume the distribution is skewed or not skewed based on the given information.
B. The heights are independent - The heights of 2-year-olds are independent in the sense that one child's height does not influence or depend on another child's height. This is a reasonable assumption in most cases.
C. The distribution of heights is symmetric - The given z-score doesn't tell us directly about the symmetry of the distribution, so we cannot assume the distribution is symmetric based on this information alone.
D. The number of heights is very large - The information about the size of the population is not provided, so we cannot assume that the number of heights is very large.
E. The distribution of heights is unimodal - We do not have information about the number of modes (peaks) in the height distribution. The z-score doesn't give us any insight into whether the distribution is unimodal or multimodal.
Thus, the result of the following questions will be:
a) The child falls into the most extreme 5% group, we need to compare the z-score of 1.59 to the critical value for the 5th percentile.
b)The information to make assumptions about the skewness, symmetry, or the number of heights is not provided.
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I had $3.00. My mom gave me $10.00. My dad gave me $30.00. My aunt and uncle gave me $100.00. I had another $7.00. How much did I have?
A bus first travels west for
38 kilometers. Then it turns south and
travels for 25 kilometers. Next it goes
east for 38 kilometers. Finally, it travels
north for an unknown number of
kilometers. At the end of the journey,
the bus is back at the original location.
How far did it travel northward?
A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22 kilometers. Next it goes west for 50 kilometers. Finally, it travels south for a certain number of kilometers. At the end of its journey it is back at its original location. How many kilometers did it travel in the southward direction?
I am thinking of a number... 1. The number is greater than the number of pennies in quarter. 2. The number is less than the
number of pennies in five dimes. 3. The number is an odd number. 4. If you count by 5's you say the number. 5. The sum of the
digits is. 6. What is my number?
Ready? Enter your answer here.
Answer:
35?
Step-by-step explanation:
I am guessing.......
Is the equation true or false? 27 × 15 = (20 × 15) – (7 × 15) _____
Answer:
This equation is false.
Step-by-step explanation:
27x15=405
You're doing the distributive property here so you're supposed to add but they subtract. Since you're doing 20x15 you have to add because 27-20=7.
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The distributive property is the distributed law of multiplication over operations in fundamental algebra, such as adding and subtracting.
The expression is given below.
⇒ 27 × 15
The expression can be written as,
⇒ 27 × 15
⇒ (20 + 7) × 15
⇒ 20 × 15 + 7 × 15
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
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Why does the problem of finding the zeros (i.e. the inputs where a function assumes the value zero) receive such disproportionate attention in algebra?A. Because the problem of finding where a function f assumes the value c, i.e. solving f(x) = c, is equivalent to finding where the function f(x)-c assumes the value zero; and c = O is the only number for which f(x) = c can be solved by factoring f(x). B. It's because usually you want to know where a function crosses the x-axis. Crossing a different axis parallel to that is just not that interesting. C. It's because knowing the zeros allows you to determine the end behavior of the function, and the vertical and horizontal asymptotes. D. Because O is the lowest value (i.e. the minimum) that a function can assume. In many math applications, we need to know the minimum value of a quantity.
Answer:
The answer is C
Step-by-step explanation:
Why does the problem of finding the "zeros" (the inputs where a function assumes the value of zero OR the value inputs for which the function is equal to zero) of a function receive such disproportionate attention in ALGEBRA?
(D) is wrong because zero is not the minimum value that a function can assume. A function could assume or be equal to a negative number or term and negative figures are less than zero.
The answer is (C) because knowing the zeros of a function allows you to determine the end behaviour of the function and the vertical & horizontal asymptotes on a graph/cartesian plane.
Solve 16x + 9 = 9y – 2x for y.
y =
If the number 3 were added to the set {1,1,3,3,4,4,5}, which central tendency would change? A)Mean B)Mode C)Range D)Median
Answer:
Mode
Step-by-step explanation:
I took the test and got it correct!
Alvin's mom loves to cook. For her birthday, Alvin surprises her with a new container for
her cooking spoons. The round container is divided into 5 equal sections. Alvin fills 4 sections
with wooden spoons.
What fraction of the container does Alvin fill with wooden spoons?
Answer:
4/5
Step-by-step explanation:
There Are 5 Sections, 5 Is The Denominator For Our Answer
He Fills 4 Sections, And That Means He Filled Four-Fifths Of The Container.
Hope This Helps!
Answer:
It's all about parts.
Step-by-step explanation:
Since the container has 5 sections we can look at it as ?/5. With every section that Alvin fills, we add 1 more to the fraction. So, if he fills 1 section, we have 1/5. If he fills 2 sections, we have 2/5, and so on. I hope this helps you.
A class of 33 students elected a class treasurer. There were 11 votes for Candidate A and 15 votes for Candidate B. The remaining students did not vote. Which expression gives the percent of voters who voted for Candidate A?
Answer:
[tex]\frac{11}{11+15}[/tex] * 100
Step-by-step explanation:
The voters would be 11+15 and since there were 11 votes for A, that is the equation you should use.
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid will receive. x = seven divided by one hundred five x = one hundred five divided by seven 7 + x = 105 x = 105 − 7
Helpppppppppppppppppppppp
Hey there! I think the answer is -6r + 5
Answer:
[tex]-6r + 5[/tex]
Step-by-step explanation:
Combine like terms
[tex] -4r-2r+5 [/tex]
[tex](-4r + -2r) + 5 [/tex]
[tex] -6r + 5 [/tex]
You cannot combine them anymore.
The point (2,-4) is on the line given by which equation below?
2,-4)
A. y = -x + 3
B. y = x - 4
C. y=-2x
D. y = 2x
Answer:
C ) y = -2x
Step-by-step explanation:
(2, -4)
y = -2x
subsitute x for the value of x
y = -2(2)
-2 × 2 = -4
y = -4
so
the equation for the point (2, -4) is
y = -2x
Finda + b, 2a + 3b, |a|, and |a − b|.a = 5i + j, b = i − 2j
Answer:
Step-by-step explanation:
Given the complex notations a = 5i + j, b = i − 2j, we are to evaluate the following:
1) a + b
= 5i+j + (i-2j)
= 5i+j+i-2j
collect like terms
= 5i+i+j-2j
= 6i-j
Hence a+b = 6i-j
2) 2a+3b
= 2(5i+j) + 3(i-2j)
open the parenthesis
= 10i+2j+3i-6j
collect like terms
= 10i+3i+2j-6j
= 13i-4j
Hence 2a+3b = 13i-4j
3) |a| = √x²+y²
Given a = 5i+j; x = 5, y = 1
|a| = √5²+1²
|a| = √25+1
|a| = √26
4) |a-b|
First we need to calculate a-b
= a - b
= 5i+j - (i-2j)
open the parenthesis
= 5i+j-i+2j
collect like terms
= 5i-i+j+2j
= 4i-3j
|a-b| = √4²+(-3)²
|a-b| = √16+9
|a-b| = √25
|a-b| = 5
the number of PI is 3.14 why do we use a special symbol for it
is the number 8.25 a rational number or an irrational number
Answer:
Rational
Step-by-step explanation:
An irrational number can't be written as a simple fraction. an irrational number will continue on forever without repeating. a rational number is any number that can be written by dividing two integers so basically any number that can be written as a fraction or decimal.
Answer:
Rational number.
Step-by-step explanation:
An irrational number is any real number that cannot be written as a simple fraction. Like square roots.
30 in.
10 in.
10 in.
30 in.
20 in.
Find the area of the arrow above.
square inches
Answer:
1200
Step-by-step explanation:
SOMEONE HELP FAST ( it's due today )
Calculate the minimum and maximum possible areas. Round your answers to the nearest whole square unit. A rectangular garden plot measures 12 feet by 28.6 feet. The minimum possible area is about ft. The maximum possible area is about ft?
Answer:
i. Minimum is 343 square feet
ii. Maximum is 360 square feet
Step-by-step explanation:
The dimension of the rectangular garden plot is 12 feet by 28.6 feet.
1. The minimum possible area can be determined by;
area of a rectangle = length x width
= 28.6 x 12
= 343.2
The minimum possible area is about 343 square feet.
2. The maximum value can be determined by;
28.6 ≅ 30.0 (1 sf)
area of a rectangle = length x width
= 30 x 12
= 360
The maximum possible area is about 360 square feet.
What is the product of 3y
product of (3y^)(274)
3y^-4 × (2y^-4) = 6y^-8
= 6/1/y^8
= 6/y^8
.................................................
1) When x^1 multiply with x^2, 1 will add to 2 and become 3
= x^3
2) y^-1 = 1/y
3^-2 = 1/3^2 = 1/9
5^-2 = 1/5^2 = 1/25
GEOMETERYY!!!! PLEASE HELP HJ=5p JK=p KH=3
Answer:
P=5.4
Step-by-step explanation
H=5 times
K=3/5=0.6
K=0.6
P=0.6x3x3=1.8x3=5.4
P=5.4
Evaluate the numerical expression 3+21-180÷9. The value of the expression is?
Answer:
the answer is 4.
the steps are...
180÷9=20 then 3+21=24 the subtract 20 and 24 then you will get 4
Answer:
The answer is number 4
Step-by-step explanation:
4x9/108+21-3
Order of operations A set of three scores consists of the values 6, 3, and 2. 1. Σ2X – 2 =______.a. 35.b. 33.c. 22.d. 6.2. Σ(2X)² =______.a. 248.b. 124.c. 61.d. 39.
Answer:
Step-by-step explanation:
Given the order of operations A set of three scores to consists of the values 6, 3, and 2, we are to evaluate the following
1) Σ2X – 2
= 2(6)+2(3)+2(2) – 2
= 12+6+4–2
= 22–2
= 20
2) Σ(2X)² = (2×6)²+(2×3)²+(2×2)²
Σ(2X)² = 12²+6²+4²
Σ(2X)² = 144+36+16
Σ(2X)² = 144+52
Σ(2X)² = 196
The results of the order of operations are: [tex]\sum 2x -2 = 16[/tex] and [tex]\sum (2x)^2 =196[/tex]
The scores are given as:
x = 6, 3 and 2
(a) The first set of operationThis is represented as:
[tex]\sum 2x -2[/tex]
So, we have:
[tex]\sum 2x -2 = 2 \times 6 - 2 + 2 \times 3 - 2 + 2 \times 2 - 2[/tex]
Evaluate the products
[tex]\sum 2x -2 = 12 - 2 + 6 - 2 + 4- 2[/tex]
[tex]\sum 2x -2 = 16[/tex]
(a) The second set of operationThis is represented as:
[tex]\sum (2x)^2[/tex]
So, we have:
[tex]\sum (2x)^2 =(2 \times 6)^2 + (2 \times 3)^2 + (2 \times 2)^2[/tex]
Evaluate the products
[tex]\sum (2x)^2 =12^2 + 6^2 + 4^2[/tex]
Evaluate the squares
[tex]\sum (2x)^2 =144 + 36 + 16[/tex]
[tex]\sum (2x)^2 =196[/tex]
Hence, the results of the order of operations are:
[tex]\sum 2x -2 = 16[/tex] and [tex]\sum (2x)^2 =196[/tex]
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Which of the following is a rational number? (4 points)
square root 97square root 98, square root 99, square root 100
Answer:
Square root 100
Step-by-step explanation:
A rational number is a number that can be completely expressed by a fraction. In this case, 100 is the only square number so only the square root of 100 will result in a rational number (10) or (10/1). The others are not square numbers so square rooting them will result in a long line of decimal points which cannot be expressed by a fraction.
Hope this helped!
Answer:
The square root of 100 is a rational number.
Step-by-step explanation:
The square root of 100 is 10. A rational number is a number that can be made by dividing two integers (whole numbers). 10 ÷ 1 = 10. None of the other options are integers, so they are out.