Ricky said that two acute angles can be supplementary; but Bobby disagrees. Who is correct? Give an example to prove your argument.
Answer:
Bobby is correct
Step-by-step explanation:
Acute angles are classified as angles with a measurement of greater than 0° but less than 90°. If you add two acute angles, each as large as possible, the total will be less than 180 degrees.
Find the slope of the line through (-1,-4) and (1,2)
Answer:
the slope is 3
Step-by-step explanation:
soo we just have to use the equation y2 - y1/ x2 - x1 to find the slope
-4 - 2/ -1 - 1
-6 / -2
3
a merry-go-round has a radius of 15 ft which equations can be used to find the Merry-Go-Round circumference
Explanation
the circumference of a circle is given by:
\(C=2\text{ }\pi\cdot radius\)then Let
radius=15 ft
replace
\(\begin{gathered} C=2\text{ }\pi\cdot radius \\ C=2\text{ }\pi\cdot15\text{ ft} \\ C=94.24\text{ ft} \end{gathered}\)
I hope this helps you
Compare the numbers using >,<, or =
874,023______874,233
5,493,820______5,492,483
Answer:
<
>
Step-by-step explanation:
We have two sets of numbers and are asked to compare using the <, >, = symbols.
Remember :
< means less than
> means greater than
= means equal to
One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?
874,223.
<
Now for the second set,
>
3
\(3 \sqrt{81} \)
what's the answer
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
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Write the Fractions in Simplest Form
30/36
Answer:
5/6
Step-by-step explanation:
30/36
We can divide both the numerator and denominator by 6
5/6
And thats the simplest we can get
Hope this helped!
Have a supercalifragilisticexpialidocious day!
1. What is the period of the function?
2. Which functions are periodic?
3. Which functions are not periodic?
4. Given the graph of the function f(x), which graph shows the function g(x) if g(x)=f(x−3)?
5. Given the graph of the function f(x), which graph shows the function g(x) if g(x)=f(x)+3 ?
Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
Please see the picture
Help me
Test
Answer:
100.3 square units
Step-by-step explanation:
Area of the composite figure = area of parallelogram + area of circle
Note: 2 semicircles = 1 full circle
Area of the figure = a*h + πr²
Where,
a = 10
h = 5
r = ½ of 8 = 4
Plug in the value into the equation
Area = 10*5 + π*4²
Area = 50 + π*16
Area = 100.265482 ≈ 100.3 square units (nearest tenth)
solve using elimination method
-3x + 5y = 8
-2x + 7 y = -2
x = - 6
y = - 2
Step-by-step explanation:-3x + 5y = 8 | ×(-2)
-2x + 7 y = -2 | ×3
6x - 10y = - 16
- 6x + 21y = - 6
add
6x - 6x - 10y + 21y = - 16 - 6
11y = - 22
y = - 22 : 11
y = - 2
replace y
- 2x + 7(-2) = - 2
- 2x - 14 = - 2
- 14 + 2 = 2x
2x = - 12
x = - 12 : 2
x = - 6
Determine the value of h in the equation 1/5+h=7/5. 6/5 8/25 6/25 8/5
The value of {h} is equivalent to 6/5.
What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is the function as follows -
(1/5) + h = (7/5)
We can write the function as -
(1/5) + h = (7/5)
h = 7/5 - 1/5
h = (7 - 1)/5
h = 6/5
Therefore, the value of {h} is equivalent to 6/5.
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Pizza sizes are based on the diameters of the pizza. Matthew, Raul, and Jerome ordered a 16-inch pizza that was cut into 12 equal slices. Each boy ate 4 slices of the pizza.
How many square inches of pizza did each boy eat? (Round your answer to the nearest whole square inch.)
A. 268 square inches
B. 50 square inches
C. 38 square inches
D. 67 square inches
The square inches of pizza each boy eats to the nearest whole square inch is 67 square inches.
The correct answer choice is option D.
How many square inches of pizza did each boy eat?A pizza has the shape of a circle
Area of a circle = πr²
Radius, r = diameter / 2
= 16/2
= 8 inches
Area of a circle = πr²
= 3.14 × 8²
= 3.14 × 64
= 200.96 square inches
The pizza was cut into 12 equal slices
Area of each slice = 200.96 square inches / 12
= 16.75 square inches
Area of pizza each boy eats = 16.75 square inches × 4
= 66.99 square inches
Ultimately, the square inches of pizza each boy eats is approximately, 67 square inches.
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I need some help to classify this triangle pls
Answer:
We conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.
Step-by-step explanation:
Given the sides of a triangle
\(\sqrt{5}, \sqrt{5},\sqrt{10}\)
Given that the two sides are equal. Thus, it must be an isosceles triangle.
Let us check whether it is an isosceles right triangle or not.
We know that for a right-angled triangle with sides a, b and the hypotenuse c is defined as:
\(c=\sqrt{a^2+b^2}\)
Given
\(a=\sqrt{5}\)
\(b=\sqrt{5}\)
now substituting \(a=\sqrt{5}\) and \(b=\sqrt{5}\) in the equation
\(c=\sqrt{a^2+b^2}\)
\(c=\sqrt{\left(\sqrt{5}\right)^2+\left(\sqrt{5}\right)^2}\)
\(c=\sqrt{10}\)
Thus,
\(a=\sqrt{5}\)
\(b=\sqrt{5}\)
\(c=\sqrt{10}\)
Which satisfies the given side lengths \(\sqrt{5}, \sqrt{5},\sqrt{10}\)
Therefore, we conclude that \(\sqrt{5}, \sqrt{5},\sqrt{10}\) is an isosceles right triangle.
100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
A. The distributions of the periods is that using the five number summary is that
The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher medianB. The box and whisker plot of the periods is attached
A. Comparing the distributions of the periodsFrom the question, we have the following parameters that can be used in our computation:
7th Period
66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96
3rd Period
52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97
The distributions of the periods will be compared using the five-number summaries
Using a graphing tool, the five-number summaries are:
7th Period
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 963rd Period
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. Creating a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
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Given that x is a standard normal variable, compute the following probability for P(x<-1
)
The probability of x < -1 in a standard normal distribution is 0.15866
How to determine the probability of x < -1?From the question, we have the following parameters that can be used in our computation:
Standard normal distribution
In a standard normal distribution, we have
mean = 0
Standard deviation = 1
So, the z-score is
z = (x - mean)/SD
This gives
z = (-1 - 0)/1
z = -1
So, the probability is
P = P(z < -1)
Using the table of z scores, we have
P = 0.15866
Hence, the probability of x < -1 is 0.15866
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Matthew picks flowers and sells them to tourists. the function s(t) approximates how many flowers matthew picks per hour. the function w(h) represents how hours per week matthew spends picking flowers. what are the units of measurement for the composite function s(w(h))?
Flowers/week is the unit of measurement for the composite function s(W(h)).
Given that the function w(h) indicates the number of hours per week that Matthew spends picking flowers and the function s(t) approximates how many flowers he collects every hour.
The process of combining two or more functions into one function is known as the composition of functions. The output of the function enclosed in parenthesis becomes the input of the function outside of them in a composition of functions.
Hours of flowers is the unit of function s(t).
Additionally, consider that W(h) denotes the number of hours per week that Matthew spends gathering flowers.
W(h) = hours/week as a unit.
The unit of the composite function s(W(h)) will be = (Flowershours)(hoursweek) = Flowersweek.
Hence, the units of measurement for the composite function s(W(h))where the function s(t) approximates how many flowers Matthew picks per hour and the function w(h) represents how hours per week Matthew spends picking flowers is flowers/week.
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In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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PLS LOOK AT PHOTO
HELPPP ASAP!!!
[6 11 -47
1
-5
6 8 -5
3 -9 6
Match each value to the correct entry in matrix AB.
[5 7
54
A = 4 -1
27
23
and B= 2
The matrix is 3 × 3 square matrix . Its values are:
\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)
Given,
Matrix A and Matrix B
Now,
According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.
So,
Apply multiplication rule,
\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)
Thus the values of the matrix can be calculated.
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of 100 athletes 31 like to run 65 like to walk ans 22 neither like to walk nor run .how many athletes like to both run or walk
There are 22 athletes who like both running and walking.
Let R be the set of athletes who like to run, and
let W be the set of athletes who like to walk.
Then we want to find the size of the intersection R ∩ W.
We know that there are 31 athletes who like to run,
65 athletes who like to walk, and
22 athletes who like neither.
Therefore, the total number of athletes who like to run or walk (or both) is:
31 + 65 - 22 = 74
This number includes athletes who like both running and walking, as well as athletes who like only running or only walking.
Now we can use the formula:
|A ∪ B| = |A| + |B| - |A ∩ B|
So |R ∪ W| = |R| + |W| - |R ∩ W|
Substituting the known values, we get:
74 = 31 + 65 - |R ∩ W|
Simplifying, we get:
|R ∩ W| = 22
Therefore, there are 22 athletes who like both running and walking.
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Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $\frac{21}{4}$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."
According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.
The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:
Sum = (n/2)(first term + last term)
In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:
Sum = (7/2)(x + (x + 6))
Simplifying the equation:
(7/2)(2x + 6) = (21/4)(x + 6)
Multiplying both sides by 4 to eliminate the fractions:
14x + 42 = 21x + 126
Subtracting 14x from both sides:
42 = 7x + 126
Subtracting 126 from both sides:
-84 = 7x
Dividing both sides by 7:
-12 = x.
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Three quarters of a number is 27. What is two ninths of the number?
Answer:
8
Step-by-step explanation:
let x be the number , then
\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )
3x = 108 ( divide both sides by 3 )
x = 36
the number is 36, so
\(\frac{2}{9}\) × 36 = 2 × 4 = 8
The two ninths of the number is 8
We know that Three quarters of a number is \(\frac{3}{4}\) times of a number
Hence we will assume the number x ,
\(\frac{3}{4} of x = 27\)
\(x = 27 X \frac{4}{3}\)
\(x = 36\)
Now as we know the number is 36
Therefore , the two ninths of the number assumed as y
We will multiply the number 36 by 2 and then divide by 9
Hence,
\(y = 36 X \frac{2}{9}\)
\(y = 8\)
Thus, the two ninths of the number 36 is 8
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2.865 in expanded form
Answer: 2.865
Step-by-step explanation:
the circumference of a circle is
Answer:
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
Answer:
The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:
Solution:
2. The half-life of BRADIUM-29 is 15 years. If you have 8 ounces of this strange substance today, how much will you
have left after 35 years?
题
SKU
Answer:
You will have 1.585 left after 35 years.
Step-by-step explanation:
Equation for amount of a substance:
The equation for the amount of a substance, using exponential decay, is given by:
\(A(t) = A(0)(1 - r)^t\)
In which A(0) is the initial amount and r is the decay rate, as a decimal.
The half-life of BRADIUM-29 is 15 years.
This means that \(A(15) = 0.5A(0)\). We use this to find r.
\(A(t) = A(0)(1 - r)^t\)
\(0.5A(0) = A(0)(1 - r)^{15}\)
\((1 - r)^{15} = 0.5\)
\(\sqrt[15]{(1 - r)^{15}} = \sqrt[15]{0.5}\)
\(1 - r = (0.5)^{\frac{1}{15}}\)
\(1 - r = 0.9548\)
Then
\(A(t) = A(0)(1 - r)^t\)
\(A(t) = A(0)(0.9548)^t\)
You have 8 ounces of this strange substance today
This means that \(A(0) = 8\). So
\(A(t) = A(0)(0.9548)^t\)
\(A(t) = 8(0.9548)^t\)
How much will you have left after 35 years?
This is A(35). So
\(A(t) = 8(0.9548)^t\)
\(A(35) = 8(0.9548)^{35} = 1.585\)
You will have 1.585 left after 35 years.
27/7n > 4/3 select all the value of n that make the inequality true
A. 2/5
B. 1/5
C.1
D.2/9
E. 3/2
Answer:
A ajjajsjsjsjajsiyisisksksk
What is the perimeter of the parallelogram shown below? And how did you get that answer.
The answer is 194
Explanation:
A parallelogram is a tilted rectangle and possess all the features of rectangle except it's symetry
Opposite sides of a parallelogram are equal in length
So if One side is 48 then the opposite length the is also 48 and vice versa, Same for the 49 too
My calculations were 49+49+48+48=
OR
2(49)2(48)=
Which algebraic expression has a term with a coefficient of 9
Answer:
an algebraic expression that has a term with a coefficient of 9 is
9(x +14)
9x + 126
its a parallelogram
(a)Find the value of x
(b)the length of KM
(c)the measure of angle HMK
Answer:
see below
Step-by-step explanation:
a) set the two equations equal to each other and isolate the variable
3x+8 = 7x-24
3x+32=7x
32=4x
x=8
b) Plug in the value of x we got into the equation
7(8)-24 = 56
56-24=32
c) Angle k and h are both 72 (add 20 and 502 together) so h+k=144
J and m are going to have the same measurement so we can set up and equation, we also know all angles must add up to 360
144+2x=360
2x=216
x=108
HMK=108
the value of square root 13 is between what
Answer:
3.60555127546
Step-by-step explanation:
Answer:
it between 3 and 4
Step-by-step explanation:
it's 3.6...
What is the image point of (8,9) after a translation right 3 units and up 4 units?
Answer:
(12,12)
Step-by-step explanation:
Let me know if it's wrong peas and carrots.