Answer:
f(32) = 95
Step-by-step explanation:
f(32) = 3(32)-1
f(32) = 96 - 1
f(32) = 95
Hope this helps have a great day
Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)
Answer:
(0, -4)
Step-by-step explanation:
The rectangular form is expressed as;
x = rcos theta
y = rsin theta
Given the coordinate (4, 3π/2)
r = 4
theta = 3π/2
Substitute
x = 4cos3π/2
x = 4cos270
x = 4(0)
x = 0
y= 4sin3π/2
y = 4sin270
y = 4(-1)
y = -4
Hence the required coordinate is (0, -4)
Ryan runs 1.5 miles on his first day of training for a road race. The next day he increases his distance run by 0.3 miles. The day after that increases the distance run by another 0.3 miles and so on. what is the total number of miles Ryan runs over the course of 18 days?
Answer:
The answer is 72.9 !!!!
Step-by-step explanation:
Trust I'm taking the same test.
Ryan runs a total of 94.5 miles over the course of 18 days.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
We can approach this problem by using arithmetic progression.
The first term is 1.5 miles, and the common difference is 0.3 miles.
So,
The nth term is given by:
an = a1 + (n-1)d
where a1 is the first term, d is the common difference, and n is the number of days.
We want to find the total distance Ryan runs over 18 days, which is the sum of the first 18 terms of the arithmetic progression:
S18 = (n/2) (a1 + an)
where n is the number of terms and a1 and an are the first and last terms, respectively.
Substituting the values we have:
a1 = 1.5 miles
d = 0.3 miles
n = 18
an = 1.5 + (18-1)0.3 = 6 miles
S18 = (18/2)(1.5 + 6) = 94.5 miles
Therefore,
Ryan runs a total of 94.5 miles over the course of 18 days.
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The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is
Answer:
3/20
Step-by-step explanation:
PLEASE NO LINKS thank you :)
Answer:
D
Step-by-step explanation:
NO LINKS the picture below shows six quarters and two pennies. If this was broken
down into two separate groups, what would be the equivalent ratio to six-
seconds?
Answer:
B i took the quiz
Step-by-step explanation:
Just trust me bro
Jacob rode his bicycle at an average rate of 15 kilometers per hour.
Which statement about Jacob's bike race could be true?
Answer:b
Step-by-step explanation:
To make chocolate ice cream, you need about 3/8 pound of chocolate. How many pounds of chocolate will you need to make 4 batches of ice cream?
Answer:
1.5 pounds. it's simply 3/8 times 4
Answer:
1.5 pounds of chocolate
Step-by-step explanation:
A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.
In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.
[tex]4\cdot \frac{3}{8}[/tex]
[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]
[tex]\frac{3}{2}=1.5[/tex]
We need 1.5 pounds of chocolate to make 4 batches of ice cream.
Good luck ^^
find the probability of rolling an even sum or a sum less than 9 when a pair of dice are rolled
Answer:
the probability is 1/12
Step-by-step explanation:
Select each true statement about this.
A cylinder has a diameter of 18cm and a height of 4cm.
The radius is 12cm
The volume of the cylinder is324 п cm
The volume of the cylinder is1296 п cm
The area of the base of the cylinder is 81 п cm?
Answer:
The volume of the cylinder is324 п cm
The area of the base of the cylinder is 81 п cm
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = 18/2 = 9
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
n x (9^2) x 4 = 324n
Area of the base of the cylinder : Area of a circle = πr² = π x 9^2 = 81 π
What is the numerator called in a percent problem? What is the denominator called in a percent problem ?
PLEASE I NEED HELP NOW!!!
Answer:
A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.
Step-by-step explanation:
Please help me to find area of semicircle
Answer:
Use a calculator and use the formula 1/2 × pi × (radius squared)
4
20.9÷10
10 points pls help
Answer:
SO first we need to get our numbers.
WE see 20.9 and 10.We learned in school that when
you multiply decimals itll show the placr its in.
So it basically shows you the answer.
Now lets divide, 20.9 divided by 10=2.09
Hope this helped my g!
Step-by-step explanation:
Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:Amount of white paint used by Sarah =1.82 pints
Step-by-step explanation:
Amount of blue paint and white paint to paint her bedroom walls.=9.1 pints
Amount of blue paint used =4/5 x 9.1=7.28 pints
Amount of white paint used=Amount of blue paint and white paint to paint her bedroom walls -Amount of blue paint used
=9.1-7.28=1.82 pints
Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
4
Step-by-step explanation:
Please help ASAP
1.
Three times a number equals 40 more than five times the number what is the number
2.
A number equals four less than three times the number what is the number?
Answer:
Step-by-step explanation:
I’m so confused help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
s = 8t
Step-by-step explanation:
every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.
Expand (2+x)(2-x). If necessaty combine like terms
Answer:
Step-by-step explanation:
(2+x)(2-x)
2(2-x)+x(2-x)
4-2x+2x-x^2
4-x^2
Identify who is correct
Describe the mistake that was made
Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have
2 x 4k - 2 x 3
which gives you
8k - 6
Answer:
Taniyah
Step-by-step explanation:
Taniyah is correct because you need to:
diistribute : 8k - 6 - 6k = 14
combine like terms : 2k - 6 = 14
add 6 to both sides : 2k - 6 + 6 = 14 + 6
simplify : 2k = 20
divide both sides by the same factor : 2k/2 = 20/2
simplify : k = 10
Find the measure of angle b. PLZ HELP AND SHOW WORK
Answer:
1) A because of vertical angle theorem (VAT), which means that b=37 degrees
2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees
3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees
4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees
5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees
Please help ASAP thank you!
Answer:
y < 3
Step-by-step explanation:
If you put the equation on a graphing calculator it shows that.
Please give me BRAINLIEST and THANKS <(￣︶￣)>
1. Which of the following is NOT true about a square?
The angles have a sum of 180°.
The diagonals are congruent.
The diagonals are
perpendicular.
The diagonals bisect each other.
Answer:
the angles have a sum of 180°
HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST
What is the distance between points (8,3) and (3, 1) on the coordinate plane?
OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units
Answer:
√29
Step-by-step explanation:
You would use the distance formula in this case to solve the problem:
(8-3)^2+(1-3)^2=29
Now square root 29, leaving you with √29.
Answer:
5.39
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(3 - 8)² + (1 - 3)²
√(-5)² + (-2)²
√25 + 4
√29
= 5.39
Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.
Answer:
4 hours
Step-by-step explanation:
240 divided by 40
Answer:
4 hours
240 divided by 60
Step-by-step explanation:
Hope it helps
Please help me out plz
Answer:
RX is parallel to ST
Step-by-step explanation:
Answer:
Line RX and line ST are parallel to each other
Step-by-step explanation:
please i need this anwser the teacher is gonna litterly murder me
Answer:
65 degrees
Step-by-step explanation:
Answer:
1. obtuse angle 105 degrees
2. acute angle 60 degrees
Step-by-step explanation:
On a map 1 inch equals 5.2 miles. Two houses are 1.5 inches apart on the map. What is the actual distance between the houses?
Answer:
7.8 miles.
Step-by-step explanation:
5.2 x 1.5 = 7.8
Solve 4x^2-16x-84 by factoring, completing the square and, by quadratic formula(show work, pls)
Answer:
-500 (I think)
Step-by-step explanation:
Pls help will mark brainliest
help me please!!!! asap Tia
Answer:
All of them should be marked sicne they are all less than 12.
Step-by-step explanation:
Answer:
m = 6, m = 1, m = 5, m = 7
Step-by-step explanation:
All the options are solutions of m < 12.
What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!
The system of equations has infinite solutions.
Option D is correct.
What is matrix multiplication?Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.
To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.
Given
Matrix equations
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
L.H.S:
Using Matrix multiplication
[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]
R.H.S:
[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]
Writing equation from above matrix
2x + 4y = 6
x + 2y = 3
or
2x + 4y = 6
2x + 4y = 6
Because there are two unknown number, but the two equations are consistent.
So, the system of equations has infinite solutions.
Option D is correct.
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