A point extending forever in one direction
A ray is a portion of a line which starts at a point and goes off in a particular direction to infinity.
Problems 4-5
Prove statements about segments and angles
Answer:
15
15
Step-by-step explanation:
x + 20 = 35
- 20 -20
x = 15
5x - 14 = 16 + 3x
+ 14 +14
5x = 30 + 3x
-3x - 3x
2x = 30
x = 15
what is the distance between the two numbers given below? 4/9 and -2/9 (simplified)
I will try my best to assist you with your question.
4/9 to -2/9 = -2/3
Show work!
_____________________________
4/9 -4/9 = 0/9
0/9 + (-2/9) =-2/9
-4/9+-2/9= -6/9
-6/9=-2/3
The answer is -2/3
Hope I helped!
Good Luck!
is | y | = x a function? explain.
No.
|y| = x isn't a function because it doesn't pass the vertical-line test. If you need more clarification, please let me know :)
Hal has 558 cans of soup to put on a shelf.The shelf can hold 72 cans in each row. How many rows can hal make with the soupcans.
7 rows in total. However, to be more precise, it's 7.75. But you round that down to 7, so 7 exact shelves. All you do is 558 divided by 72, and you get 7.75 which is 7 shelves cause you can't half 7 and .75 shelves
a person must be at least 55 inches tall to go on the carnival ride. who can go on the ride?
Any person who is 55 inches or taller can go on the carnival ride. This is an inference made using inequalities in Mathematics. For instance, if one person is 58 inches tall and another is 52 inches tall, only the person 58 inches tall meets the height condition.
Explanation:The criterion to go on the carnival ride, as provided in the question, is that the person must be at least 55 inches tall.
Therefore, any person who is 55 inches or taller can go on the carnival ride. This is a basic application of inequalities in Mathematics.
For example, if John is 58 inches tall and Maria is 52 inches tall, only John would be able to go on the ride because he meets the height requirement (58 is greater than or equal to 55), whereas Maria does not (52 is less than 55).
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Anyone who meets or exceeds the minimum height requirement of 55 inches can go on the carnival ride, as this is the condition set by the operators.
The question pertains to a necessary condition that must be met for a person to engage in an activity at a carnival. Specifically, we're discussing a minimum height requirement for a ride. Whoever meets or exceeds this height requirement of 55 inches can go on the ride. To determine who can go on the ride, you have to measure each individual’s height and compare it with the minimum height restriction set by the carnival ride operators.6. In many cases, lenders allow homeowners to include their homeowners insurance premium with their monthly mortgage payment. Tim’s home is worth $279,500. If his homeowners insurance premium is $0.33 per $100, how much is added to his monthly mortgage payment for insurance?
A.$7.69
B.$76.86
C.$92.35
D.$922.35-NOT THE CORRECT ANSWER
Answer:
B. $76.86
Step-by-step explanation:
Step 1: Insurance premium is $0.33 per $100.
Step 2: In 279500, there are 2795 hundreds of dollar.
Step 3: find the premium.
2795*0.33 = 922.35
This is premium per year.
Step 4: There are 12 months in a year.
Therefore, his month mortgage payment = 922/35 = $76.86
Thank you.
A data set has a lower quartile of 3 and an interquartile range of 5 Which box plot could represent this data set?
Answer:
The first box plot.
Step-by-step explanation:
In a box plot, the lower quartile is the right hand side of the box. In the first plot, this is 3.
The upper quartile is the left hand side of the box. In the first plot, this is 8.
The interquartile range is the difference between these two values:
8-3 = 5.
Answer:
the first option
Step-by-step explanation:
7/11 x 22/28 use gcf
Answer: 1/2
Step-by-step explanation:
7
11
×
22
28
=
7 × 22
11 × 28
=
154
308
=
154 ÷ 154
308 ÷ 154
=
1/2
Bill used candle molds, as shown, to make candles that were perfect cylinders and spheres:
A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 5 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 2 inches.
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14.
20.82 cubic inches
29.31 cubic inches
56.6 cubic inches
62.8 cubic inches
Answer:
29.31 cubic inches
Step-by-step explanation:
The dimension of the cylindrical mold is:
Radius (r) = 2 inches
Height of the cylinder (h)= 5 inches
The dimension of the sphere is:
Radius (r) = 2 inches
Lets calculate the amount of wax needed for the cylindrical candle:
A [tex]=\pi \times r^2\times h[/tex]
[tex]A=3.14\times 2^2\times 5=3.14\times 4\times 5=62.8[/tex] cubic inches
Now, lets calculate the amount of wax needed for the spherical mold:
[tex]A=\frac{4}{3}\times \pi \times r^3=\frac{4}{3}\times 3.14 \times (2)^3=\frac{4}{3}\times 3.14\times8=33.49[/tex] cubic inches
So the approximate difference in the amount of wax needed to make a candle from each of these molds is given by:
Amount of wax for the spherical mold subtracted by the amount of wax for cylindrical mold:
[tex]62.80-33.49=29.31[/tex] cubic inches
So the approximate difference in the amount of wax is 29.31 cubic inches.
Answer:
29.31
Step-by-step explanation:
the sum of two numbers is 78. one of the numbers is 4 more than the other number, what are the two numbers?
The two numbers are 41 & 37.
The way to solve this is by setting up an equation. We know that 2 numbers are going to equal 78, so here would be the general equation (let x represent the number we don't know):
(x) + (x + 4) = 78
Now, we need to simplify it (combine like terms):
2x + 4 = 78
Then you can solve it like any other equation. Subtract 4 on both sides:
2x = 74
Divide by 2 on both sides:
x = 37.
So, now you know one number is equal to 37 and that the other is 37 + 4.
That's how you get 37 & 41.
X = ?
X +4= ?
(X+4) + x = 78
2X + 4 = 78. Subtract 4 from both sides
You get 2X = 74. Divide both sides by 2 and you get x= 37
Now plug 37 in and you get 37 and 41
Sami has $500 to invest. Suppose he has the following investment options: 3% compounded annually for 4 years, 4% compounded annually for 3 years, 2.5% compounded every 2 years for 6 years, and 5% compounded annually for 2 years. Which investment will give him the most money at the end of its investment period? (Remember, the formula is A = P(1 + r)t.)
i think the answer is 5% compounded annually for 2 years.
hope it helps
Answer:
Sami should invest in 1st case, to get the maximum money.
Step-by-step explanation:
Sami has $500 to invest.
We will use the compound interest formula :
[tex]A=p(1+r/n)^{nt}[/tex]
Case 1:
p = 500
r = 3% or 0.03
t = 4
n = 1
Putting the values in formula we get,
[tex]A=500(1+0.03/1)^{4}[/tex]
[tex]A=500(1.03)^{4}[/tex]
A = $562.75
Case 2:
p = 500
r = 4% or 0.04
n = 1
t = 3
Putting the values in formula we get,
[tex]A=500(1+0.04/1)^{3}[/tex]
[tex]A=500(1.04)^{3}[/tex]
A = $562.43
Case 3:
p = 500
r = 2.5% or 0.025
n = 3
t = 6
Putting the values in formula we get,
[tex]A=500(1+0.025/3)^{6}[/tex]
[tex]A=500(1.0083)^{6}[/tex]
A = $525.42
Case 4:
p = 500
r = 5% or 0.05
n = 1
t = 2
Putting the values in formula we get,
[tex]A=500(1+0.05/1)^{2}[/tex]
[tex]A=500(1.05)^{2}[/tex]
A = $551.25
Comparing all values we can see that case 1 has the highest amount.
Hence, Sami should invest in 1st case, to get the maximum money.
I really need some help with this. Please no guesses, I need an exact answer. Thank you in advance.
What is the missing term in the factorization? 100 x 2 −36=4(5x+?)(5x−3)
100x^2−36=4(5x+3)(5x−3)
Look down below.
What decimal number is represented in expanded form?
The answer is 7209.306
H E L P
A S A P ! ! !
GIVING 50 POINTS!
Answer:
Step-by-step explanation:
1. B
2. C
The answer to the first is C
Second is B. Hope I'm not mistaken.
Write 2/5 as a percent
40% would be the answer because it has to equal 100% and 2/5 of it is 40%
find the least common multiple of 5 10 and 15
what is 2 to the -10th power
[tex]2^{-10} = \frac{1}{2^{10}} = \frac{1}{1024}[/tex]
A negative power is equal to 1/that to the positive power.
Final answer:
2 to the -10th power equals 1/1024 or 0.0009765625 in decimal form. It is calculated by taking the reciprocal of 2 raised to the 10th power, following the rules of negative exponents.
Explanation:
The student is asking about 2 to the -10th power, which is a mathematical expression involving negative exponents. When dealing with negative exponents, it's important to remember that a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. Therefore, to calculate 2 to the -10th power, we use the following steps:
Identify the base (2) and the negative exponent (-10).
Understand that a negative exponent means the reciprocal is taken.
Calculate the reciprocal of the positive exponent: 2¹⁰.
Since 2¹⁰ is 1024, the reciprocal is 1 divided by 1024.
So, 2 to the -10th power equals 1/1024, which can also be written as 0.0009765625 in decimal form. This concept is crucial for understanding scientific notation, where negative exponents represent small numbers.
which of the following is an equivalent form of the expression 15x+24ax?
39ax
39(a+2x)
(5+8a)x
15+24a)x
(15+24a)x
Because when using distributed
15(x)+24a(x)
Is
15x+24ax
A bicyclist rose 3.5 miles in 15 minutes. What was her average speed, in miles per hour?
21 miles per hour would be her miles per hour.
(3 x 10^6) x (3 x 10^ 5)
Answer:
[tex]9*10^{11}[/tex]
Step-by-step explanation:
we have
[tex](3*10^{6})*(3*10^{5})[/tex]
we know that
[tex](a*10^{b})*(a*10^{c})=(a*a)*10^{(b+c)}[/tex] -----> the bases are multiplied and the exponents are added up
so
in this problem
[tex](3*10^{6})*(3*10^{5})=(3*3)*10^{(6+5)}[/tex]
[tex]=9*10^{11}[/tex]
Create an Example that has No Real Solution.
An example that has no real solution could be an equation like:
-11x+4=-11x-11
Write the expression in simplest form (-11/2x+3)-2(-11/4x-5/2)
This expression would equal to 8.
Answer:
8
Step-by-step explanation:
evaluate 15k when k=3
45, you substitute 3 in for k and multiply
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The geometric probability of throwing a bag through a cornhole board is about 5%. The rectangular dimensions of the board is 24" by 48".
What is the approximate area of the hole in square inches?
Answer:
The answer is .4sqr ft
Step-by-step explanation:
That board is 2 feet by 4 feet:
Area = 2 x 4 = 8 sq. ft.
The hole will have an area that is 5% of this value.
8 sq. ft x 0.05 = 0.4 sq. ft.
Answer:
0.4 sq. ft.
That would be 24 inches the cornholes probability is due to the angles and geometric force. If you throw it at the 24 by 48 dimension of thee board the probability for it to actually go in is a small but more likely chance. if you tweak how hard you are tossing' it the more results you will get of width and distance from the hole. Eventually tho you will indefinitely get it in to the hole.
hope brainy birdy helped you out lol here is me... hope that you get 100% buddy good luck!!!if a person bikes 2.r miles in 10 minutes,how far can he bike in 1.5 hours
+ (-7) = 3 Whats the answer please help
x + (-7) = 3
To solve this, add 7 on both sides
Final Answer: x = 10
X+(-7)=3
x-7=3
Add 7 on both sides.
x-7+7=3+7
x=10
A family has annual loan payments equal to 32% of their annual income. During the year, the loan payments total $15,680. What is the family’s annual income?
The annual Income is 49,000 $.
It is required to find the family’s annual income.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
Say, the annual income =x $
(32/100)*x=15680
x=15680*100/32
x =49,000 $
Therefore, the annual Income is 49,000 $
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What is the x-intercept of the graph that is shown below?
Look at where the line crosses the X axis.
Here we see it crosses -2
So your answer is A (-2, 0)
The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].
Thus, option [tex]1[/tex] is correct.
A point on the y-axis, through which the slope of the line passes, is called as intercept . The point at which the line crosses [tex]x[/tex]- axis is called [tex]x[/tex] intercept and the point at which the line crosses [tex]y[/tex] - axis is called [tex]y[/tex] intercept .
According to the information provided by the graph,
The line crossed [tex]x[/tex]- axis at [tex]x = -2[/tex].
So, the intercepts of [tex]x\\[/tex] axis will be [tex](-2,0)[/tex].
The [tex]x[/tex]-intercept of the graph using the definition of intercepts is [tex](-2,0)[/tex].
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A tuxedo rental shop rents tuxedos with sleeve lengths from 20 inches to 40 inches. The shop says the length of the sleeves should be about 1.2 times a person's arm length. Write and solve a compound inequality that represents the arm lengths of people the shop does not provide tuxedos for.
Let the person's arm length be = x
Condition is : sleeve lengths available from 20 inches to 40 inches and the length of the sleeves should be about 1.2 times a person's arm length.
So, the inequality equation becomes:
[tex]20\leq1.2x\leq40[/tex]
This gives x=[tex]\frac{20}{1.2}=16.66[/tex] or [tex]16\frac{2}{3}[/tex]
or x=[tex]\frac{40}{1.2}[/tex]=33.33 or [tex]33\frac{1}{3}[/tex]
Hence, the shop does not provide tuxedos to people with arm length less than 16.66 inches and greater than 33.33 inches.
Answer:
Step-by-step explanation:
Let the arm length of tuxedo be x which varies from 20 inches to 40 inches.
If length of the sleeves is about 1.2 times a person's arm length.
Then the arm length of a person will be 1.2x.
Inequality for the arm length will be
20 < 1.2x < 40
Now we divide this inequality by 1.2
[tex]\frac{20}{1.2}<x<\frac{40}{1.2}[/tex]
16.67 < x < 33.33
This inequality represents the arm length of people having arm length between 16.67 and 33.33 inches.
tuxedo rental shop does not provide tuxedos to the persons having arm length less than 16.67 and greater than 33.33.