Answer: 36 inches
Step-by-step explanation:
From the information given in the question, we are informed that Yuron is sketching a scale drawing of a famous painting and that the painting is 54 inches wide and 72 inches long.
We are further informed that he used a scale factor of ⅔ to make his sketch, then the measure of the width of the sketch will be ⅔ of the original width and this will be:
= ⅔ × 54 inches
= 36 inches
The width of Yuron's sketch is 36 inches.
How many inches wide is Yuron's sketch?
We know that the original painting is 54 inches wide and 72 inches long, and Yuron makes a sketch that uses a scale of 2/3 of the original dimensions.
Then the width of Yuron's sketch will be 2/3 times the original width:
W = (2/3)*54 inches = 36 inches.
The width of Yuron's sketch is 36 inches.
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(5a + 2)(a + 4) =
(Answer should be a polynomial in standard form.
Answer:
(5a+2)(a+4)
=5a^2+20a+2a+8
=5a^2+22a+8
Answer:
[tex]5 {a}^{2} + 22a + 8[/tex]
Step-by-step explanation:
[tex](5a + 2)(a + 4) \\ 5a(a + 4) + 2(a + 4) \\ 5 {a}^{2} + 20a + 2a + 8 \\ 5 {a}^{2} + 22a + 8 \\ [/tex]
Using the quotient rule, what is the derivative of the function f(x)=(3x-5)/(5x+2)?
Answer:
[tex]\frac{31}{(5x+2)^2}[/tex]
Step-by-step explanation:
See image for quotient rule
f(x)= numerator = 3x-5
g(x)= denominator = 5x+2
so we have
[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]
What is the area is square feet?
Answer:
A = 24
Step-by-step explanation:
Figure shown is a trapezoid
Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]
where a and b = base lengths and h = height
The trapezoid shown has the following dimensions
Shorter base length (a) = 6
Longer base length (b) = 10
Height (h) = 3
Using these dimensions , plug in the values into the area formula
A = [tex]\frac{6+10}{2} 3[/tex]
add 6 + 10 = 16
[tex]A=\frac{16}{2} 3[/tex]
divide 16/2 = 8
[tex]A = (8)(3)[/tex]
multiply 8 times 3
A = 24
If g(x) = x^2 - 3, find the value of:
a) g(5)
b) g(-2)
c) g(a+1)
Answer:
this answer kajjsnnsnsnsnsnsnsnsnssnnsnssnjxxjxnxnxxnndnsndnsndndnd
Answer
g(5)=22
g(-2)=1
g(a+1)=(a+1)^2-3
g(a+1)= (a+1)(a+1)-3
g(a+1)=a^2+2a-2
Step-by-step explanation:
if you wanted to solve for a you would need to use the quadratic formula and solve for a.
Matthew was assigned 234 math problems over the weekend. He completed five times as many problems on Saturday than Sunday. How many math problems did Matthew solve on Saturday?
Answer:
[tex]195[/tex]
Step-by-step explanation:
Let [tex]a[/tex] represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved [tex]5a[/tex] problems on Saturday.
Therefore, we have:
[tex]5a+a=234,\\6a=234,\\a=39[/tex]
Substitute [tex]a=39[/tex] into [tex]5a[/tex]:
[tex]5(39)=\boxed{195}[/tex]
Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 80%. Which of these
groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6, 7, 8
B. 0, 1, 2, 3, 4, 5
C.0, 1, 2, 3, 4, 5, 6, 7
D. 0, 1, 2, 3, 4, 5, 6
========================================================
Explanation:
There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.
Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%
Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%
The groups of numbers could represent a success 80 percent is {0, 1, 2, 3, 4, 5, 6, 7}. Therefore, option C is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Here, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
To simulate an event that has a probability of success of 80%.
Now, 8/10 ×100
= 8×10
= 80%
Therefore, option C is the correct answer.
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Question is in photo.
Thanks
Answer: yes
Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.
Answer:
Yes
Step-by-step explanation:
The correlation of the dots is very strong although it can't be a straight line.
Hope this helps
Find the ratio of sin (A)
Answer:
sin (A) = 8/17
Step-by-step explanation:
Sine = opposite/hypotenuse
Sin (A) = 16/34
Sin (A) = 8/17
Answer:
sin (A) = 16/34
Step-by-step explanation:
SOH (sine = opposite/adjacent)
Answer the question in the picture
Answer:
(10^3)^2
Hope this answer is right!!
Step-by-step explanation:
(10^3)^2
(10)^3*2
(10)^5
Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line
that passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular
B neither perpendicular nor parallel
Answer:
B
Step-by-step explanation:
B. neither perpendicular nor parallel
because, the line are not crossing nor are they aside from each other.
My son wants to celebrate his birthday at the bowling alley with a few of his friends. He has $70 to spend. The bowling alley charges a flat fee of $40 for a private party and $4.50 per person for shoe rentals and unlimited bowling.
The maximum number of people he can pay for at the bowling alley is __.
Answer: he can pay for 6 people total (including him)
Step-by-step explanation:
first lets subtract the flat fee from the total amount of money he has
70 - 40 = 30
now lets divide 30 by $4.50 to see how many people he can pay for
30 / $4.50 = about 6.5
obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)
Answer:
6 people
Step-by-step explanation:
Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8
Answer:
i think its 20
Step-by-step explanation:
Someone plss help me on this one too!
Thanks :)
Answer: 30%
Step-by-step explanation:
Math help please show work thanks
Problem 3
If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).
The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.
The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi
That's the exact area in terms of pi
If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer
==================================================
Problem 4
The square base has area of 38*38 = 1444 square cm
The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.
The total surface area is: 1444+4180 = 5624 square cm.
When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624
Why would there be a difference between percentages with the Empirical Rule and the actual percentages?
Answer:
Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex] is not the easiest equation to solve, and that
the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational
using the "rule-of-thumb" "empirical rule" is typically "close enough"
given that the whole probability analysis by definition has some uncertainty in it
Step-by-step explanation:
The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.
What is the empirical rule?The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:
The middle 68% of a normal distribution would be within one standard deviation of its mean (µ ± σ).The middle 95% of a normal distribution would be within two standard deviations of its mean (µ ± 2σ).The middle 99.7% of a normal distribution would be within three standard deviations of its mean (µ ± 3σ).In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.
In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.
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42, 43, 44, 44, 49, 40, 39
What is the mean?
Answer:
43
Step-by-step explanation:
To find the mean, add up all the numbers
(42+ 43+ 44+ 44+ 49+ 40+ 39)=
301
Then divide by the number of terms
301/7
43
Answer:
mean = 43
Step-by-step explanation:
Mean is given by
mean = sum of all numbers / total no. of terms
substitute the values
mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /
Divide ,
mean = 301 / 7
mean = 43
Which statement about the angles in the figure is true?
mZ3+ m25 = 180°
mZ1 + m28 = 90°
m28+ m29 = 90°
m27 +mZ10 = 180°
Answer:
the second one
Step-by-step explanation:
its the sum oh 90
The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box
Answer:
a = 8 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
V = 512 cm³
Step 2: Find a
Substitute in variables [Volume of a Cube Formula]: 512 cm³ = a³[Equality Property] Cube root both sides: 8 cm = aRewrite: a = 8 cmpls help me solve pls show how you got the answer
Answer:
A
Step-by-step explanation:
270/9=30
What additional information could be used to prove AABC = AMQR using SAS? Select two options.
Answer:
To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent. From the diagram, it is shown that CA is congruent to RM. From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).
Increase 14187.13 by 14.5
Answer:
14201.63
Step-by-step explanation:
14187.63
+ 14.50
=14201.63
Toby ran a 10-kilometer race in
1 hours. Which point on the number
line represents his time?
Answer:
Point S
Step-by-step explanation:
Given that :
Time taken = 1 2/5 hours
Converting to decimal :
1 2/5 = 7/5 = 1.40 hours
From the number line, distance between each successive tick mark represents, 0.05 hours :
Hence, the point which depicts Toby's time on the number line is: point S
What is the slope that passes through the points (-9.-8) (-15,-16)
Answer:
Slope/gradient is 4/3
Step-by-step explanation:
Have a nice day
A teacher has 40 learners in her class. She chooses 1% to clean her board. Is this possible?
Step-by-step explanation:
No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.
find the domain of the graphed function
Answer:
1≤x≤5
Step-by-step explanation:
The domain is the values that x can take
X goes from 1 to 5
1≤x≤5
Answer:
c. 2 ≤ x ≤ 5
Step-by-step explanation:
The x value is equal to or greater than 2. The x value is equal to or less than 5.
Add the following numbers. (-4) + (-9) =
Answer:
-13
Step-by-step explanation:
Adding a negative means that you subtract the number as + (-) = -
This means that the equation is -4-9=-13.
Answer:
-13
Step-by-step explanation:
Use the number line to find the measure of SV
Answer:
8
Step-by-step explanation:
S = -7 to V= 1 you count from -7 to 1
7√5÷5 please explain how u got the answer
Answer:
7
Step-by-step explanation:
7√5÷5
5/5= 1 then,
√1=1
hence 7(1)=7
A video game has a wheel that turns one degree every time the figure pops a ballon then figure has popped 40 balloons how many degrees has the wheel turned?
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answer:
3 < x
Step-by-step explanation:
3(8 – 4x) < 6(x – 5)
Divide each side by 3
3/3(8 – 4x) < 6/3(x – 5)
(8 – 4x) < 2(x – 5)
Distribute
8-4x < 2x-10
Add 4x to each side
8-4x+4x < 2x-10+4x
8 < 6x-10
Add 10 to each side
8+10 < 6x-10+10
18 < 6x
Divide by 6
18/6 < 6x/6
3 < x