The volume of the sculpture with triangular pyramid shape is 40 feet³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a pyramid is given as:
Volume = (1/3) * base area * height.
For pyramid with base of 12 feet² and height 10 feet, hence:
Volume = (1/3) * 12 * 10 = 40 feet³
The volume of the sculpture with triangular pyramid shape is 40 feet³
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Which of the following shows the true solution to the logarithmic equation solved below? log Subscript 2 Baseline (x) = log Subscript 2 Baseline (x 7) = 3. Log Subscript 2 Baseline left-bracket x (x 7) right-bracket = 3. X (x 7) = 2 cubed. X squared 7 x minus 8 = 0. (x 8) (x 1) = 0. X = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8.
The value which shows the true solution to the given logarithmic equation is 1.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
The given logarithmic equation is,
[tex]\rm log_{2} (x) + log_{2} (x +7) = 3.[/tex]
Use the addition property of log in the above expression.
[tex]\rm log_{2} (x \times (x +7) )= 3.\\ (x \times (x +7) ) = 2^{3} \\x \times (x +7) = 8\\x^{2} +7x-8=0[/tex]
Solve the quadratic equation we get,
[tex](x+8)(x-1)=0[/tex]
x = -8, 1
Here, the logarithmic function is defined only for positive real numbers as its input.
Thus, the value which shows the true solution to the logarithmic equation solved above is 1.
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Answer:X=1
Step-by-step explanation:b on edge
Algebra
U perpendicure
All changes saved
4. Identify the equations as parallel lines, perpendicular lines, or neither.
Equation 1: -2x+5y=3
Equation 2: 2y=5x+1
perpendicular
Neither
parallel
Answer: Neither
Step-by-step explanation:
What is the range of the function y = e superscript 4 x y less-than 0 y greater-than 0 y less-than 4 y greater-than 4
The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
It is given that the function [tex]\rm y= e^4^x[/tex]
It is required to find the range of a function [tex]\rm y= e^4^x[/tex]
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm y= e^4^x[/tex]
If we plot a graph of [tex]\rm y= e^4^x[/tex]:
When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1
When x = 1 then [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598 and so on.
The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.
Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
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Answer:
B, all real numbers less than 0
Step-by-step explanation:
edge 2022
Noah finds some nickels and pennies in his change purse. How many coins does he
have if he has 100 nickels and 120 pennies? How many coins does he have if he has n
nickels and p pennies?
He has 100 + 120 = 220 coins in his purse.
He has n + p coins if he has n nickels and p pennies.
Zoe considers the lunch choices as she looks at the menu. What is the probability that she will choose cheese pizza, apple, milk?
Meal: Cheese Pizza, Cheeseburger, Hotdog, Salad
Side: Banana, Apple, Yogurt
Beverage: Milk, Water, Juice
Multiple choices:
1/10
1/21
1/12
1/36
Answer:
1/10
Step-by-step explanation:
There are ten options and Salad is one of them; therefore, the answer would be 1/10.
4+6x=16 how to solve it
Answer:
Step-by-step explanation:
Remark
The first step is the key step. You have to get the xs on one side and the numbers on the other.
Solution
4 + 6x = 16 Subtract 4 from both sides
4-4+6x = 16 - 4 Combine
6x = 12 Divide both sides by 6. You want x by itself.
6x/6 = 12/6
Answer: x = 2
What is the smallest number greater than 1 that is both triangular and square
Answer:
36
Step-by-step explanation:
triangular numbers are
1, 3, 6, 10, 15, 21, 28, 36, .....
square numbers are
1, 4, 9, 16, 25, 36, ..........
the smallest number that is triangular and square is 36
What is the value of z in the triangle ? Enter your answer in the box . Round your final answer to the nearest hundredth.
Answer:
32.97 inches
Step-by-step explanation:
Given
27 in. is the length one of the legsSolving
cosine function gives the ratio of the adjacent side of the angle and the hypotenuseTake cos35°cos35° = 0.819cos35° = 27/z⇒ 27/z = 0.819⇒ z = 27/0.819⇒ z = 32.97 inches|x-b|=c, only one solution is -3
Answer:
x-b=-3
Step-by-step explanation:
1. Simplify
|x-b|=c
x-b=c
If c=-3 then,
Answer= x-b=-3
WILL GIVE LOTS OF POINTS
Jenny has 9 cars available to rent. Let C be the number of cars she would have left after renting R of them. Write an equation relating C to R. Then graph your equation
9-R= C
hope this helps :)
What is the partial fraction decomposition of StartFraction 6 x + 17 Over (x + 1) squared EndFraction?
Answer:
6/(x + 1) + 11/(x + 1)^2.
Step-by-step explanation:
6x + 17 / (x +1)^2 = A / (x + 1) + B /(x + 1)^2
Multiply through by (x + 1)^2:
6x + 17 = A(x + 1) + B
Let x = -1, then:
-6 + 17 = 0 + b
So B = 11.
Let x = 1:
6 + 17 = A(1+1) + 11
23 = 2A + 11
A = (23-11)/ 2
A = 6.
How many ways can 10 students line up in a food counter?
Answer:
for the first student in the line there are 10 choices,then for the 9 choices left,for the third 8 choices left and so on...
so its 10x9x8x7x6x5x4x3x2x1=3628800
Step-by-step explanation:
sana makatulong
The dot plot below shows the results of a recent patient survey at Brookwood Medical Center. Use
the data to answer the following questions. If necessary, round your answer to the nearest tenth.
Find the mean and median scores.
Answer:
the median is 3.5
Step-by-step explanation:
there are 27 dots 27/2=13.5 therefore the answer is the 13th dot and a half 3.5 :) (i dont know for sure but i think the mean is 3)
The mean is 3 and the median is 3 for this list of numbers.
From the dot pot,
Arrange the number in order:
1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5
Now,
Mean = Average of all the values.
Median = Midvalue of the number.
Now,
There are 30 numbers in the list, so the mean is:
Mean = 90/30 = 3
To find the median, we need to find the middle number.
Since there are an even number of numbers in the list, we take the average of the two middle numbers:
The middle two numbers are both 3, so the median is:
Median = (3 + 3)/2 = 3
Therefore,
The mean is 3 and the median is 3 for this list of numbers.
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14. How much interest will you earn if depositing $25,000 to grow continuously at 9%
interest rate for 12 years?
Answer:
Step-by-step explanation:
i think this is the answer
A bike shop has 35 bicycles and tricycles with a total of 81 wheels. How many bicycles and how many tricycles are in the shop?
Answer:
There are 24 bicycles and 11 tricycles in the shop
Step-by-step explanation:
We can make a system of equations to find the answer:
x for bicycles and y for tricycles:
x + y = 35
2x + 3y = 81
2x because bicycles have 2 wheels, 3y because tricycles have 3 wheels, and have set the total to 81 because 81 wheels in total.
Solving, we will find that there are 24 bicycles and 11 tricycles in the shop.
a random sample of 45 art students revealed that 20 prefer prefer painting over sculpture if there are 2k students in an art program how many would be expected to prefer painting over scultuprue
Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:
20 - 45
n - 2000
Applying cross multiplication:
45n = 20 x 2000
n = (20 x 2000)/45
n = 889.
889 students would be expected to prefer painting over scultuprue.
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In the circle below, F is the center and lies on line segment AD and BC.
Answer:
I guess option (C)
Step-by-step explanation:
Hope it helps!!!!
Rewrite 4.86 x 10^12 in decimal notation.
help pleaseee
Answer:
second one down
4 860 000 000 000
Step-by-step explanation:
count out 12 zeros after the 4 and you will find the one in decimal notation
The decimal notation for the given scientific notation is 4860000000000. (option b)
What is decimal notation?The decimal notation is an alternate method to represent the fractional value. It means that it is the fractional representation using base 10. The fractions can be converted into decimals and vice versa.
Given is a scientific notation, 4.86 × 10¹², we need to convert it into a decimal notation,
4.86 × 10¹²
= 4.86 × 10,000,000,000,000
= 4.86 × 100 × 100000000000
= 486 × 100000000000
= 48600000000000
Hence, the decimal notation for the given scientific notation is 4860000000000. (option b)
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will give brainliest!
fill in the table using this function rule. y= 3 + 2x
x- 4, 5, 9, 10
y- blank
Replace x in the equation with the given x values and solve for y:
3 + 2(4) = 11
3 + 2(5) = 13
3 + 2(9) = 21
3 + 2(10) = 23
the y values are: 11, 13, 21, 23
#4
y=3+2(4)=3+8=11#5
y=3+2(5)=3+10=13#9
y=3+2(9)=3+18=21#10
y=3+2(10)=3+20=23Which person is not living within their means?
A. Joyelle set aside money for emergency funds by limiting her thing
entertainment costs for a few months.
B. Bill earns a high salary, so he contributes the maximum allowed to
his IRA each year.
C. Ella maxed out all three of her credit cards but pays the minimum
balance each month.
O D. Dmitri earns $1000 a month and spends $800 on rent, groceries,
and other expenses.
The person that is not living within their means is Ella who has maxed out all three of her credit cards but pays the minimum balance each month.
What does it mean when a person is living above their means?If a person is living above their means, the person is spending more money than they have. A person living above their means would most likely borrow in order to afford their lifestyle. A person living above their means would have no amount of savings.
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A triangle has two side lengths: 18 in and 12 in. Which of the following could be the length of the third side?
Answer:
6<L<30
Step-by-step explanation:
because we know that the third side needs to be in between the sum of the other two it has to be less than 30 and then because it needs to apply to the other sides it is greater then 18-12 or 6.
1. Sixty-four unit cubes were glued together to make a 4 × 4 × 4 cube. How many 1 × 1 pairs
of faces were glued together to make the larger cube?
2. A cube is painted red and then cut into 64 identical smaller cubes. How many of these cubes
are painted red on at least one face?
3. A cube is painted red and then cut into 1000 identical smaller cubes. How many of these
cubes are painted red on at least two faces?
Answer:
The answer is 56 and that is no guess
When do you struggle finding the min and max in a binary search tree
One can struggle to find the min and max in a binary search tree when the search algorithm is error prone.
What is a binary search?It should be noted that a binary search simply means a searching algorithm for finding the elements position in an array.
In this case, one can struggle to find the min and max in a binary search tree when the search algorithm is error prone as this requires more stack space.
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One can struggle to find the min and max in a binary search tree when the search algorithm is error-prone as this requires more stack space.
What is the binary search tree?A binary Search Tree is a node-based binary tree data structure that has the following properties:
In Binary Search Tree, we can find the maximum by traversing the right pointers until we reach the rightmost node. But in Binary Tree, we must visit every node to figure out the maximum. So the idea is to traverse the given tree and for every node return a maximum of 3 values.
1) Node’s data.
2) Maximum in node’s left subtree.
3) Maximum in node’s right subtree.
Below is the implementation of the above approach.
The left subtree of a node contains only nodes with keys lesser than the node’s key. The right subtree of a node contains only nodes with keys greater than the node’s key. The left and right subtree each must also be a binary search tree.Hence, one can struggle to find the min and max in a binary search tree when the search algorithm is error-prone as this requires more stack space.
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The rent for an apartment is $800 per month. The landlord charges one month's rent as a deposit plus a nonrefundable damage cost of $250.
The expression 800(n + 1) + 250 represents the cost of the renting the apartment for n months. Write the expression in simplified form.
please help me i have a test tmr
Answer:
800n+1050
Step-by-step explanation:
800(n+1)+250 = 800n+800+250 = 800n+1050.
Hope this helps!
Good luck with your test + I hope you do well on it.
Please mark me as brainliest!
Which ratio is not equivalent to 3/5 ?
A. 15/20
B.6/8
C.30/50
D.12/20
Answer:
A & B
Step-by-step explanation:
15/20 is not equal
6/8 is not equal
30/50 is equal
12/20 is equal
Hey there!
3/5
= 3 ÷ 5
= 0.60
= 60%
• So, we’re looking for something that’s equivalent to 0.60 or 60%
Option A.
15/20
= 15 ÷ 20
= 15 ÷ 5 / 20 ÷ 5
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option A. could possibly be your equivalent to your fraction
Option B.
6/8
= 6 ÷ 8
= 6 ÷ 2 / 8 ÷ 2
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
So, Option B. isn’t equivalent because it’s too big and not what we’re looking for!
Option C.
30/50
= 30 ÷ 50
= 30 ÷ 5 / 50 ÷ 5
= 6 / 10
= 6 ÷ 2 / 10 ÷ 2
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option C. could possibly be your equivalent to your fraction.
Option D.
12/20
= 12 ÷ 20
= 12 ÷ 2 / 20 ÷ 2
= 6 / 10
= 6 ÷ 2 / 10 ÷ 2
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option D. could possibly be your equivalent to your fraction.
To sum it all up, your answer is:
Option B. 6/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)
Answer: x=18/5 y=127/5
Step-by-step explanation:
For both equations
1. subtract from both sides
2. divide to find what the variable equals
This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?
yes or no
Answer: yes its a 3:1 ratio
3 cups of strawberries
per 1 cup of mango
Step-by-step explanation:
so the best way i can try to explain it is this...
1 2 they both need a
_ x _ common denominator so
3 6 you need to multiply the smaller one to equal
the bottom number of the other one
oorr divide the big number on the bottom to equal
the smaller number on the bottom of the left
equation.
soooo 2 times (1:3) equals (2:6)
or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)
please help pleaseeeeeeee
Answer:
9.5
Step-by-step explanation:
First order them:
5, 5, 8, 11, 12, 14
The go to the middle
2, 8, 11, 12
8, 11
8 + 11 = 19
19 / 2 = 9.5
Answer:
9.5 is your answer
What is the most specific name for the figure?
A(-4a, -2a)
B(-9a, -2a)
C(-5a, a)
D(0, a)
A. Trapezoid
B. Rectangle
C. Square
D. Rhombus
Answer: D
Step-by-step explanation:
The quadrilateral will be a rhombus. Then the correct option is D.
What is the quadrilateral?The definition of a quadrilateral is a planar form with four sides, four vertices, and four angles. Concave and convex are the two primary kinds.
Type of quadrilateral are:
Trapezoid.Rectangle.Parallelogram.Rhombus.Square.Kite.The length of the side CD is given as,
CD² = (0 + 5a)² + (a - a)²
CD = 5a units
The length of the side BC is given as,
BC² = (- 5a + 9a)² + (a + 2a)²
BC² = (4a)² + (3a)²
BC² = 25a²
BC = 5a units
The length of the adjacent sides is equal. Then the quadrilateral will be a rhombus.
Thus, the correct option is D.
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Solve the System of equations x = -2 ; y= -3 .(show your work step by step).
x+2y = 4
x +y = 1
Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)