Answer:
The range of the relation is:
Range R = {1, 2, 7}
Therefore, option B is true.
Step-by-step explanation:
Given the relation
Input Output
-4 1
0 7
2 2
7 7
Determining the domain:
We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.Thus, the domain of the relation is:
Domain R = {-4, 0, 2, 7}
Determining the range:
We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.Thus, the range of the relation is:
Range R = {1, 2, 7}
Please note that the duplicated elements in the domain or the range of the function are written only once.Therefore, option B is true.
It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 40 Americans yielded 22 who bought their significant other a present and celebrated Valentine's Day. Estimate the true proportion of all Americans who celebrate Valentine's Day using a 98% confidence interval. Express the answer in the form the point estimates /- the margin of error.
Answer:
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
(0.3672 , 0.7328)
Step-by-step explanation:
Explanation:-
Given Random sample size n =40
Sample proportion
[tex]p = \frac{x}{n} = \frac{22}{40} = 0.55[/tex]
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
[tex](p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )[/tex]
The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
[tex](0.55-2.326\sqrt{\frac{0.55 X0.45}{40} } , 0.55 + 2.326\sqrt{\frac{0.55 X0.45}{40} } )[/tex]
( 0.55 - 0.1828 , 0.55 + 0.1828)
(0.3672 , 0.7328)
Answer:
Step-by-step explanation:
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
( 0.55 - 0.1828 , 0.55 + 0.1828)
(0.3672 , 0.7328)
For a moving object, the force acting on the object where is directly from the objects acceleration. When a force of 21 N Acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 9 m/s^2, what is the force?
Answer:
[tex]F = 27N[/tex]
Step-by-step explanation:
Given
Force directly proportional to acceleration
Force = 21N when Acceleraion = 7m/s^2
Required
Determine the force when acceleration = 9m/s^2
The variation between force (F) and acceleration (A) implies that:
[tex]F\ \alpha\ \ A[/tex]
Convert to an equation
[tex]F = mA[/tex]
Where m is constant.
When F = 21 and A = 7, we have:
[tex]21 = m * 7[/tex]
Solve for m
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
When A = 9
Substitute 9 for A and 3 for m in [tex]F = mA[/tex]
[tex]F = 3 * 9[/tex]
[tex]F = 27N[/tex]
Jayson can make 4/5 of a 5 layers cake in 15 minutes. At this rate, how many cakes can Jayson make in 1 hour?
Answer:
3.2 cakes a hour
Step-by-step explanation:
4/n = 4/5
Please provide best answer:
A: n = 5
B: n = 5/16
C: n = 3 1/5
D: n = 50
Answer:
[tex]\huge\boxed{\sf n = 5}[/tex]
Step-by-step explanation:
[tex]\sf \frac{4}{n} = \frac{4}{5} \\\\Cross \ Multiplying \\\\n * 4 = 4*5\\\\Divide \ both \ sides \ by \ 4 \\\\\frac{n*4}{4} = \frac{4*5}{4} \\\\n = 5 \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
n = 5
Step-by-step explanation:
[tex] \frac{4}{n} = \frac{4}{5} [/tex]
Dividing 4 on both the sides gives ,
[tex] = > \frac{4}{n} \div 4 = \frac{4}{5} \div 4[/tex]
[tex] = > \frac{4}{n} \times \frac{1}{4} = \frac{4}{5} \times \frac{1}{4} [/tex]
Cancelling 4 from numerator and denominator from both the sides ,
[tex] = > \frac{1}{n} = \frac{1}{5} [/tex]
Cross-multiplying the denominators of both sides,
[tex] = > n = 5[/tex]
Write the first three terms in the sequence given by the formula an = 8n + 4
Answer:
[tex]a_{1}[/tex] = 12
[tex]a_{2}[/tex] = 20
[tex]a_{3}[/tex] = 28
Step-by-step explanation:
In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.
[tex]a_{1}[/tex] = 8 x 1 + 4
[tex]a_{1}[/tex] = 8 + 4
[tex]a_{1}[/tex] = 12
Then.......
[tex]a_{2}[/tex] = 8 x 2 + 4
[tex]a_{2}[/tex] = 16 + 4
[tex]a_{3}[/tex] = 20
And finally .......
[tex]a_{3}[/tex] = 8 x 3 + 4
[tex]a_{3}[/tex] = 24 + 4
[tex]a_{3}[/tex] = 28
???? Help me and I’ll mark as brainliest
Answer:
15
Step-by-step explanation:
Answer:
I believe the answer is 6.
Step-by-step explanation:
The town of Euclid started a voluntary recycling program. The first year it was utilized by 1500 residents. Every year afterward, the number of new users was 120% of the new users the year before. After 6 years, how many people total were using the recycling program?
Answer:
170,070 residents
Step-by-step explanation:
Original population = 1500 residents
Total population after 6 years is calculated using the formula
A = P(1+r)^t
r is the rate = 120% = 1.2
t is the time = 6 years
P is the original population
A = 1500(1+1.2)^6
A = 1500(2.2)^6
A = 1500(113.379904)
A = 170,069.856
Hence the total people using the recycling program after 6 years is approximately 170,070 residents
Convert 33 feet per second to miles per hour. Round to the nearest tenth.
33 feet1 second = miles/hr
Answer:
about 22.5 mph
Step-by-step explanation:
for an approximate result, divide the speed value by 1.467
Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1?
O (1,1)
O (1.4)
0 (4,1)
O (4,4)
Answer:
it would be 4,1
Step-by-step explanation:
because its the only one that startes with 4 and ends with 1
You are given two algebraic equations, y = 3x, and 2y = x + 20. Solve for x and y.
Answer:
x= -4 & y=-12
Step-by-step explanation:
multiply y=3x by 2
giving you 2y=6x
subtracting 2y=x+20 from 2y =6x
=> 5x=-20
dividing through by 5
=> x=-4
put x=-4 into y=3x
=> y=3(-4)
y=-12
a cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats were empty?
Answer:
60%
Step-by-step explanation:
Ppls help i give brainlist
HELP ME PLZ
Determine the measure of each numbered angle.
365
2.
3
4.
40°
5
20°
6
Answer:
1=50
2=130
3=50
4=130
5=40
6=30
Step-by-step explanation:
Remember a straight line is 180 degrees and the interior of a triangle always equals to 180 degrees
Hope this Helped! :D
Solve for d.
5 + d > 5 – d
Answer:
d > 0
Step-by-step explanation;
-3x+2y=-17,-6x+3y=-30 using elimination
Answer:
x= 3, y= -4
Step-by-step explanation:
NEED HELP!!!!!!!!!!!!!
The answer to your question is DG.
Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?
Answer:
The unit rate per week is $4.
Step-by-step explanation:
Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?
The answer is 4
Matt is making cookies. He adds 3/4 of a cup of sugar to a bowl. He then removes two 1/8 cups of sugar. Which of the following best explains the amount of sugar left in the bowl?
3/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
3/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 3/8
4/8, because 3/4 - 2 × (1/8) = 3/4 - 2/8
Answer:
4/8 because 3/4 - 2 × (1/8) = 3/4 - 2/8
Step-by-step explanation:
1 A parallelogram has base 7.3 mi and height 3.1 mi. What is its area? A 22.63 mi? B 1116 mi? C 26.28 mi? D 21.8 mi?
Answer:
A) 22.63
Step-by-step explanation:
Well as we all know to find the area of a parallelogram u have to multiply Base by Height = Area ; Base×Height=Area
As so: 7.3×3.1=22.63
Final answer 22.63
Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
quarters does Veronica have?
Find -(-14).
—14
-4
4
14
Answer:
Step-by-step explanation:
minus in front of a minus=+
14
Answer:
D. 14
Step-by-step explanation:
Four less than the product of 2 and a number is the same as negative eightteen. Find the number
Answer:
12
Step-by-step explanation:
4-2x=-18
-4 -4
-2x=-24
-2 -2
x=12
Is this the right answer
Answer:
yes that would be correct
Step-by-step explanation:
4 + 4 is 8
He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground.
How much work is Thomas doing to pull the wagon?
10,000 foot-pounds
8,660 foot-pounds
7,070 foot-pounds
5,000 foot-pounds
Answer:
It’s b
Step-by-step explanation:
Answer:
B on edge
Step-by-step explanation:
A. 3(x+2) = 18
T + 2 = 6
1) How can we get Equation B from Equation A?
Answer:
It's 4 I hope this helped.
If I subtracted 2 from 6 in Equation B. I would get 4. Putting 4 to replace the x in Equation A, it makes the equation make sense.
Step-by-step explanation:
3 ( 4 + 2 ) = 18
4 + 2 = 6
Morgan's mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?
Answer:
$777.60
Step-by-step explanation:
8/100 = 0.08
0.08 * 720 = 57.6
57.6 + 720 = 777.6
Answer:
Step-by-step explanation:
8/100*720=5760/100
=$57.6
$720-$57.6=$662.4
she will pay back $662.4.
You are Christmas shopping and your bill at the register is $130. You have two coupons, but you are only allowed to use one. Coupon 1 is for 10% off. Coupon 2 is for $10 off. Answer the following question 7a-7b-7c
Answer:
the answer is 10 percent off because that is 13 dollars
Step-by-step explanation:
if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off
Alexandra has 4 bags of beads. Some of the bags contain 3 purple beads and the rest contain 6 indigo beads. If Alexandra has 21 beads in all, how many bags of each color bead does Alexandra have?
Please help me fast!!
Answer:
4 bags of purple beads and 3 bags of indigo beads.
Step-by-step explanation:
Total number of beads = 21 beads'
Total bags of beads = 4 bags
Purple beads = 3 purple beads
Indigo beads = 6
Let x be each bags of purple beads
Let y be each bags of indigo beads
Since there are 4 bags of bead then;
x + y = 4 ....1
If some of the bags contain 3 purple beads and the rest contain 6 indigo beads, then;
3x + 6y = 21
x + 2y = 7.....2
Subtract 1 from 2
y - 2y = 4 - 7
-y = -3
y = 3
Sunce x + y =7
x = 7-y
x = 7-3
x = 4
Hence there are 4 bags of purple beads and 3 bags of indigo beads.
Which numbers are factors of 16? Check all that apply.
o 2
o 3
o 4
o 8
o 16
o 32
Answer:
2,4,8,16
Step-by-step explanation:
2*8=16
4*4=16
8*2=16
16*1=16
those are the numbers you have that can give u 16 but with 3 and 32 no
Hope this helped!
Answer:
2,4,8,16
Step-by-step explanation:
That’s your answer
Solve to find the area:
Answer:
16cm^2
Step-by-step explanation:
well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16
Answer:
16 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define
Base b = 8 cm
Height h = 4 cm
Step 2: Find A
Substitute [Area]: A = 1/2(8 cm)(4 cm)Multiply: A = (4 cm)(4 cm)Multiply: A = 16 cm²