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QUESTION GUIDE EXIT TEST
3. A wedge of cheese is in the shape of a triangular prism. The dimensions of the wedge
are shown below.
30.5 cm
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16 cm
12 cm
20 cm
What is the volume of the wedge of cheese?
Answers
Related Questions
Bobo and the Bouncing Ball Math Problem
Please help me solve it. There are 3 questions, question 1, 2, and the Einstein problem.
WORTH 20 POINTS!
Answers
This doesn’t include the Einstein problem cause I didn’t have that one.
Answer:
1)0.125
2)127.825
Step-by-step explanation:
Nick plans to start a home-based business producing and selling gourmet dog treats. He figures it will cost $20 in operating costs per week plus $0.50 to produce each treat. He plans to see each treat for $1.50. Graph y=0.5x+20 and y=1.5x to represent the situation
Answers
Answer: Nick needs to sell 20 treats to break even.
Solve system by substitution.
−5x−7y=3
x+6y=−19
Answers
x+6y=-19
solve for x
x=-19-6y
substitution method
-5(-19-6y)-7y=3
when u solve u get y=-4
since y is -4
substitute that in
x+6(-4)=-19
x=5
so (x,y) = (5,-4)
x is 5 and y is -4
Can yall help im mentally slower than the average human
Answers
Answer:
I think it would be 216cm
Step-by-step explanation:
how I got this answer?:
cubes are mostly the same in all sides due to all the sides being equal
Each square is then 216/6 or 36 cm^2
The area of a square is length of one side times the length of an adjacent side or Area = s^2
36 = s^2
s = 6
1 flower has 10 petals how many petals do 5 flowers have?
Answers
Answer:
50 :)
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Evaluate the expression below when x = 2/3 and y = 4
3x + 9y
Answers
Answer: 38
Step-by-step explanation:
3 (2/3) +(9)(4)
3 (2/3) +(9)(4) Again=38
If I Helped Please Mark Me As Brainliest, Have A Great Day :D
solve this equation x-24/8 = 2x+ 1/2
x =
Answers
Answer:
x= - 7/2
Step-by-step explanation:
Decimal Form: -3.5
Mixed Number Form: -3 1/2
Carter has a piece of rope that is of a meter long. He
ties knots in the rope to divide it into 3 equal sections.
Use the expression
to find the length of each
section.
Each section of rope is meter long.
Answers
Answer:
1 foot
Step-by-step explanation:
1 meter = 3 feet
3 feet divided by 3 = 1 foot
The length of each section of the rope is 1 foot.
What is an expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.Solution -The piece of rope is 1m long.
Carter divided the ropes into three equal parts by tying up the knot.
1 meter = 3 foot.
Therefore, divide 3 by 3.
[tex]\frac{3}{3} =1[/tex] foot.
Therefore, each section is 1 foot long.
Know more about expression here:
https://brainly.com/question/723406
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Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if f(x) = ln(x + 5) – 1 and g(x) = x3 – 2x + 1?
Answers
Answer:
There are two possibilities of determine which solution is the smallest one:
(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]
(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]
Step-by-step explanation:
Let [tex]f(x) = g(x)[/tex], [tex]f(x) = \ln (x+5)-1[/tex] and [tex]g(x) = x^{3}-2\cdot x + 1[/tex], then we have the following implicit equation:
[tex]\ln (x+5)-x^{3}+2\cdot x -2 = 0[/tex] (1)
This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:
Let suppose that we use this function [tex]h(x) = \ln (x+5) -x^{3}+2\cdot x - 2[/tex]. By the help of a graphing tool, we find the smallest solution such that [tex]h(x) = 0[/tex]. There are three possible solutions: [tex](x_{1},y_{1}) = (-1.577,0)[/tex], [tex](x_{2},y_{2}) = (0.18,0)[/tex], [tex](x_{3}, y_{3}) = (1.376, 0)[/tex]
There are two possibilities of determine which solution is the smallest one:
(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]
(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]
The smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given functions;
f(x) = ln(x + 5) – 1
g(x) = x³ – 2x + 1
After graphing both the function, we get the three solutions of the given equation,
[tex]\rm \left(-1.577,0.223\right)[/tex]
[tex]\left(0.18,0.645\right)[/tex]
[tex]\left(1.376,0.853\right)[/tex]
Hence,the smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]
To learn more about the function, refer to:
https://brainly.com/question/5245372
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In 2011 a sweatshirt cost $20 and in 2012 the price increase to 25 what is the percent change
Answers
Michael brought 2 gallons of lemonade for his class party. How many 1 cup servings does he have for his class? (1 gallon = 16 cups) *
Answers
A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in one sweep. Round to the nearest whole number.
Answers
Answer:
The distance in one sweep is 100 cm approximately
Step-by-step explanation:
Here, we want to calculate the distance the wiper covers in one sweep
Mathematically;
we have a structure like an arc of a circle. It is the length of this arc we want to calculate.
The formula for the length of an arc is;
theta/360 * 2 * pi * r
r is the radius which in this case is 50 cm
We have ;
115/360 * 2 * 3.1412 * 50 = 100 cm approximately
A pounds of apples and b pounds of plums were packed into n boxes. How many pounds of fruit are there in each box?
Answers
Answer:
(a + b) / n
Step-by-step explanation:
Pounds of apple in box = a
Pounds of plum in box = b
Number of boxes used in packing = n
The amount fruit in pounds that are in each box :
Total pound of fruits / number of boxes used
Total pounds of fruit = a + b
Number of boxes used = n
Hence, we have ;
(a + b) / n
Leslie has a black and purple marker. She can
use either of them to write on either a white, pink
or yellow sticky note, is this a simple event or compound event?
Answers
Answer:
Compound
Step-by-step explanation:
True or false ??????
Answers
HELP I NEEEEEEEEEEEEEEEED HELP
Answers
Answer:
It's B
Step-by-step explanation:
Emila bought 3 2/3 kilogram of sugar on wednesday she bought 3/10 kilograms of sugar less on Thursday. How uch sugar did she buy on Thursday?
Answers
Answer:
[tex]1\frac{7}{10}[/tex] kg of sugar
Step-by-step explanation:
Amount of sugar on Wednesday: [tex]3\frac{2}{3}[/tex] kg
Convert the mixed number fraction to an improper fraction (multiply the whole number by the numerator)
[tex]3\frac{2}{3}[/tex] ⇒ [tex]\frac{6}{3}[/tex] ⇒ [tex]2[/tex]
Therefore, Emila bought 2 kg of sugar on Wednesday.
Because Emila bought [tex]\frac{3}{10}[/tex] kg less sugar on Thursday, subtract [tex]\frac{3}{10}[/tex] from [tex]2[/tex].
[tex]2-\frac{3}{10}[/tex]
Convert 2 into a fraction with 10 as the denominator
[tex]=\frac{20}{10} -\frac{3}{10}\\=\frac{17}{10}[/tex]
Convert the fraction into a mixed number
[tex]= 1\frac{7}{10}[/tex]
Therefore, Emila bought [tex]1\frac{7}{10}[/tex] kg of sugar on Thursday.
I hope this helps!
what is the mean .median ,mode of 2,3,4,3,2
Answers
Answer:
Step-by-step explanation:
mean = total / amount of numbers
= 15/5 = 3
median = 4 middle number
mode = most common numbers = 3,2
Find the greatest common factor of 10, 3, and 6.
Answers
1
Explain
Sorry if wrong but I’m pretty sure I’m right
Answer:10
Step-by-step explanation:u have to see how many time can a number go into it
I WILL MAKE YOU BRAINLIEST FOR THE FIRST ONE TO SOLVE THIS FOR ME!!!
Which number is larger, A or B? Write more than a sentence to explain your reasoning.
(A) 9.675 x 10^24
(B) 1.109 x 10^28
Answers
Answer:
the answer is B
Step-by-step explanation:
when you take the first answer and subtract the second answer from it you get a negitive number of -1.1080325x10+28
if there 3 cats and 3 dogs how mush would be together
Answers
Answer:
6
Step-by-step explanation:
3+3 = 6
Answer:
There is 1 cat for each dog so the ratio would be 1:1 together.
Step-by-step explanation:
This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1
Laura borrowed $40,500 at 3% for 10 years. what was the total interest?
Answers
Answer:
$12,150
Step-by-step explanation:
I = Prt
I = (40500)(0.03)(10)
I = 12150
Write the fifteenth term of the binomial expansion of (a^2+b)^20
Answers
Answer:
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
Step-by-step explanation:
Let be a binomial of the form [tex](a+b)^{n}[/tex], where [tex]a, b\in \mathbb{R}[/tex] and [tex]n\,\in\mathbb{N}^{+}[/tex]. The expansion of this polynomial is defined below:
[tex](a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k})[/tex] (1)
Where:
[tex]n[/tex] - Number of terms of the expanded polynomial.
[tex]k[/tex] - Index associated to [tex]k[/tex]-th term of the expanded polynomial.
For all [tex]n[/tex]-th binomial, we a sum of [tex]n+1[/tex] terms. If the given binomial has a term of [tex]20[/tex], then we have 21 terms and the fifteenth term of the polynomial corresponds to the [tex]14[/tex]-th term. Then, the fifteenth term of the binomial is:
[tex]c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})[/tex]
[tex]c_{14} = 38760\cdot a^{6}\cdot b^{14}[/tex]
The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].
Can someone help me with one of these? Factor using the X method please!
Answers
Answer:
Step-by-step explanation:
6. x² + 8x + 7
= x² + 7x + x + 7
= x (x + 7) + 1 (x + 7)
= (x + 1) (x + 7)
Option D is the answer.
7. x² - x - 72
= x² - 9x + 8x - 72
= x(x - 9) + 8(x - 9)
Option B is the answer.
8. x² - 49
= (x - 7) (x + 7) [formula used a² - b² = (a-b)]
Option D is the answer.
9. 9x² - 54x + 72
= 9(x² - 6x + 8)
= 9(x² - 4x - 2x + 8)
= 9[x(x-4) -2 (x-4)]
= 9[(x - 2) (x - 4)]
= Option A is the answer.
10. x⁴ - 3x³ - 10x²
= x² (x² - 3x - 10)
= x² (x² - 5x + 2x - 10)
= x² [x (x-5) + 2 (x-5)]
= x² (x+2) (x-5)
Option A is the answer.
What 3-dimensional solid has a circular cross section when cut parallel to the base and a rectangular cross section when cut perpendicular to the base? A) cylinder B) sphere C) Triangular Prism D) Square Pyramid
Answers
Answer:
Option A ) Cylinder is correct.
Step-by-step explanation:
The important information need to consider is
1. Circular cross section when cut parallel to the base
2. Rectangular cross section when cut perpendicular to the base.
Let's consider each options.
Cylinder would have circular cross section when parallel to base and rectangle when it cut perpendicular to the base.
Yes! The cylinder works.
Hello do any no how to do this .If so can you tell me step by step please. It is called Solving Equations Puzzle.
Answers
I'm pretty sure you have to write how much they are
Pink heart is 2
Green square is 2
Blue moon 1
Answer:
Pink Heart = 2 Green Square = 6 Blue Moon = 4
Step-by-step explanation:
h ( h x g) = (b x g) = 24 left side of table
2 (2 x 3) = (4 x 6) = 24 right side of table
h(h x g ) = 2(2 x 3) = (4 x 6) = (b x g) = 24 equivalent outcomes
A number b is increased by 6, and then the sum is doubled.
Answers
Answer:
2(b+6)
Step-by-step explanation:
Find the value of x
Answers
Answer:
x=23
Step-by-step explanation:
set them equal to each other since its not same sides
these are alternative exterior
8x-77=3x=38
5x=115
x=23
Answer:
23
Step-by-step explanation:
8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23
What is the volume of a rectangular prism that measures 2 & 2/6 inches by 3 & 3/7 inches by 2 inches.
Answers
Answer:
16 inch³
Step-by-step explanation:
Given that :
Length = 2 2/6 = 14/6 inches
Width = 3 3/7 = 24 /7 inches
Height = 2
The volume of a rectangular prism is given by :
Volume = Length * width * height
Volume = (14/6) * (24/7) * 2
Volume = 16 inch³
Jackson invested $140 in an account paying an interest rate of 3 3/4% compounded
quarterly. Lucy invested $140 in an account paying an interest rate of 3 1/2%
compounded daily. After 10 years, how much more money would Jackson have in his
account than Lucy, to the nearest dollar?
Answers
Answer: $5
Step-by-step explanation: