Answer:
$5.17
Step-by-step explanation:
Take 25.68 and subtract the $5.00 coupon. Then divide the total by 4 to get the answer
Mei runs 77.4 miles in 5 weeks. If she runs 3 days each week, what is the average distance she runs each day?
The average distance she runs each day is ____ miles.
Answer:
5.16
Step-by-step explanation:
We multiply the number of weeks by the number of days to find the total amount of days that she ran:
5 weeks × 3 days/week = 15 days
We are looking for the amount of miles/day (which represents the number of miles per day).
So, we take [tex]\frac{77.4miles}{15days}[/tex]= 5.16 miles/day
Erven is painting canvases. Each canvas requires 4 ounces of paint. He has 21 ounces of paint. What
is the greatest number of canvases Erven could paint?
QUICKKKK PLEASEEE AND IN FRACTIONS
Answer:
5 1/4
Step-by-step explanation:
If each canvas takes up 4 oz of paint then you should take 21 and divide it by 4 to get the answer. Erven can only paint 5 full canvases and 1/4 of another canvas.
Which number is NOT in the solution set of x + 6 < 142
-0)
A)
3
B)
5
C)
7
D)
11
Please help
Is -3.4 closer to -2 or -4? I need to round it to find the answer, but I don't know which way.
Answer:
-4
Step-by-step explanation:
its closer to -4
Find the slope of the line that passes through (3, -1) and (4, 7)
Answer:
Written in slope-intercept form.
y = mx + b
The answer to your question would be
m = 8
A curve is represented by the parametric equations x=t , y=3t^2 find the area under the curve from t=1 to t=2
Answer:
[tex]\displaystyle A = 7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightPre-Calculus
Parametric to Rectangular Form ConversionCalculus
Integrals - Area under the curve
Area of a Curve Formula: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx[/tex]
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
*Note:
The area under the curve is essentially the definition of an integral.
Step 1: Define
Parametric
x = t
y = 3t²
1 ≤ t ≤ 2
Step 2: Rewrite
Rewrite parametric to rectangular form and change bounds of integration.
[Parametric] Substitute in t: y = 3x²[Parametric] Plug in values of t [Bounds]: 1 ≤ x ≤ 2Step 3: Find Area
Integration.
Substitute in variables/function [Area]: [tex]\displaystyle A = \int\limits^2_1 {3x^2} \, dx[/tex][Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = 3\int\limits^2_1 {x^2} \, dx[/tex][Area] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = 3(\frac{x^3}{3}) \bigg| \limit^2_1[/tex][Area] Evaluate [Integration Rule - Fundamental Theory of Calculus 1]: [tex]\displaystyle A = 3(\frac{2^3}{3} - \frac{1^3}{3})[/tex][Area] (Parenthesis) [Fraction] Evaluate exponents: [tex]\displaystyle A = 3(\frac{8}{3} - \frac{1}{3})[/tex][Area] (Parenthesis) Subtract: [tex]\displaystyle A = 3(\frac{7}{3})[/tex][Area] Multiply: [tex]\displaystyle A = 7[/tex]Topic: AP Calculus AB/BC
Unit: Area under the curve
Book: College Calculus 10e
please hurry
Paul deposit $500 in an account that pays 4% annual interest. Find how much Paul will
have after 3 years when the interest is compounded quarterly.
a. $563.41
b. $501.12
c. $515.15
d. $580
What is 3-6? Please help meeeee
your answer is going to be -3
Answer:
The Answer to 3-6 is -3!
Step-by-step explanation:
Think of it as a regular problem at first, 6-3: Switch the rolls!
6-3= 3 So when you switch the numbers back to 3-6, you get -3.
The answer has to have a negative sign (-) because it is a negative, a number below zero.
3-3= 0, 3 is half of 6, 6 is the number you need to subtract so you have to go below zero because subtraction is all about taking away from that first number. So 3-3= 0, 0-3= -3.
Hope that helped you!
What is the best measure of center for the following data set?
{ 2, 18,18, 20, 22, 24, 25}
A)Range
B)Median
C)Mean
D)Mode
Answer:
b) median: there are 7 numbers listed; 20 is the middle number among them
range: subtract lowest from highest number 25-2=23
mean: add all the numbers together =129
mode: place numbers in order (smallest to greatest), then see which number appears the most 2, 18, 18, 20, 22, 24, 25=18
Step-by-step explanation:
Please solve this for 15 points
Answer:
on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the the dividend, on the inside of the bracket. The dividend is the number you're dut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the long division brackPut 487, the dividend, on the inside of the bracket. The dividend is the number yoPut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.
Step-by-step explanation:
Terrence cuts a piece of cake for himself.
Answer the following 2 questions regarding this piece of cake.
The first thing you need to notice on this prism is that the base of this prism is actually a triangle, making it a triangular prism. This is because the triangles are the only sides that are parallel to each other.
What is the area of the triangular base?
Answer: cm2
Answer:
Disect the shape
Step-by-step explanation:
6 x 10 x 18 ÷ 2 = (Answer)
what is the value digit 4 in the following numbers 76,132,4
Answer:
400
Step-by-step explanation:
Answer:
its just 4 because its in the ones place also the comas arent placed correctly
If the commas are placed correctly then it is 400. Pretend there are 2 imaginary zeros after it.
How many gallons of 60% antifreeze solution must be mixed with 70 gallons of 20% antifreeze to get a mixture that is 50% antifreeze.
(Round to the nearest whole number)
Answer:
Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.
You need to end up a mixture that is 60% antifreeze.
You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).
.
You will add 'x' gallons of 70% antifreeze to make the 60% mixture.
So, at the conclusion, you will have (90+x) gallons 60% 'pure' antifreeze. That can be shown with the equation:
.
.25*90 + .7*x = .6*(90+x)
.
Multiply by 100 to eliminate fractions.
.
25*90 + 70x = 60(90 +x)
.
2250 + 70x = 5400 + 60x
.
10x = 5400 -2250
.
10x = 3150
.
x = 315 gallons of 70% antifreeze.
.
How much will you end up having on hand?
90 + 315 = 405 gallons
.
If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?
.6*405 = 243
.
In the original 90 gallons, you have 22.5 gallons of pure antifreeze.
In the additional 315 gallons, you have .7*315 = 220.5 gallons.
22.5+220.5 = 243 gallons
Step-by-step explanation:
Circle A has a radius of 10 centimeters. and are tangent to circle A.
If AC = 26 cm, what is BC?
A)20cm
B)24cm
C)26cm
D)[tex]2\sqrt{194} cm[/tex]
Step-by-step explanation:
the answer is in the pic I posted! hope It helps...mark brainliest please!
The measure of BC is 24 cm. So, option B is correct.
Important information:
The diagram of a circle A with two tangents.Radius of circle A is 10 cm.AC = 26 cmWe need to find the measure of BC.
Tangent to circle:We have,
AD = AB = 10 cm
We know that the radius of a circle is perpendicular to the tangent at the point of tangency. It means triangle ABC is a right angle triangle.
Using the Pythagoras theorem, we get
[tex](AB)^2+(BC)^2=(AC)^2[/tex]
[tex](10)^2+(BC)^2=(26)^2[/tex]
[tex](BC)^2=676-100[/tex]
[tex](BC)^2=576[/tex]
Taking square root on both sides, we get
[tex]BC=\sqrt{576}[/tex]
[tex]BC=24[/tex]
The measure of BC is 24 cm. So, option B is correct.
Find out more about 'Tangent to circle' here:
https://brainly.com/question/1503247
HELP ME PLEASEEEEE!!!! (joyce if u answer something unproper u will get reported)
Suppose you have a bag with 10 black and 10 red balls, with the balls of each color numbered 1 to 10. Suppose you pick two balls uniformly at random from the bag.
a. Show that the probability that you pick a ball of each color is 10/19.
b. Show that the probability that you pick a ball of each color, with the number on the red ball being one less than the number on the black ball, is 9/190.
Answer:
Step-by-step explanation:
[tex]\text{From the given information:}[/tex]
[tex](a)[/tex]
[tex]\text{ P(ball of each color)=P(1st ball is black \& 2nd (red)) + P(1st(red) \& 2nd(black)})[/tex]
[tex]\text{ P(ball of each color)} = {P(1st (black) \times P(2nd \ red \ | \ 1st black) }+P(1st \ red) \times P(2nd \ black \ | \ 1st \ red)}[/tex]
[tex]\text{ P(ball of each color)} = \Big(\dfrac{10}{20}\Big ) \times \Big(\dfrac{10}{19}\Big ) + \Big(\dfrac{10}{20}\Big ) \times \Big(\dfrac{10}{20}\Big )[/tex]
[tex]\text{ P(ball of each color)} = \Big(\dfrac{10}{19}\Big )[/tex]
[tex](b)[/tex]
[tex]\text{If the combination of total no. of black \& red balls with no =10*10 =100}[/tex]
[tex]Then;[/tex]
[tex]\text{the no. of ways red is less than no. of black = 9}[/tex]
[tex]Thus:[/tex]
[tex]\text{P(ball of each color and number on red ball is 1 less than number of black ball is :)}[/tex][tex]= \text{P(ball of each color) * P(red is 1 less than black [] ball of each color)}[/tex]
[tex]=\Big( \dfrac{10}{19}\times \dfrac{9}{100} \Big )[/tex]
[tex]= \dfrac{9}{190}[/tex]
Given g(x)=5x+2, find g(-6)
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Find the exact value of each of the remaining trigonometric functions of theta.
Rationalize denominators when applicable.
sin theta= [tex]\sqrt{\frac{3}{7} }[/tex] given that theta is in quadrant I.
cos theta=
csc theta=
sec theta=
tan theta=
cot theta=
Answer:
See answers below
Step-by-step explanation:
Given that sin theta = √3/√7
Opposite =√3
Hypotenuse = √7
Get the adjacent
Adj² = (√7)²-(√3)²
Adj² = 7-3
Adj² = 4
Adj = √4
Adj = 2
Cos theta = adj/hyp = 2/√7
csc theta= 1/sin theta = 1/(√3/√7) =
√7/√3
sec theta= 1/costheta = 1/(2/√7) = √7/2
tan theta= opp./adj = √3/2
cot theta =1/tan theta = 1/(√3/2) = 2/√3
= 2√3/3
What is the perimeter of this tile?p
Answer:
16 inches
Step-by-step explanation:
The tile is rectangular, so the other 2 sides have lengths 2in and 6in.
The perimeter is 2in + 6in + 2in + 6in = 16in
Answer:
16
Step-by-step explanation:
the long sides are both 6 inches
6+6=12
the short sides are both 2 inches
2+2=4
add all the sides together
12+4=16
how to sketch the graph
Answer:
is the skill that is worth the effort it takes to learn
Step-by-step explanation:
its helpful
Answer:
[tex]1)draw \: a \: table \: of \: value \: for \: at \: lest \: two \: values \: \\ \\2)locate \: the \: two \: points \: (x1 \: y1)and \: (x2 \: y2) \: on \: gragha \: pape. \\ \\ 3)join \: the \: two \: pints \: with \: a \: straight \: line \: extending \: beyond \: the \: points.[/tex]
What quadrilateral ABCD is formed when AB is parallel to CD, AB = 8 cm, BC
6 cm, CD = 4 cm and ZB = 60°?
A) Trapezoid
B) Square
C) Rhombus
D) Rectangle
Andrea is 58 inches tall. Her dad is 6 ft 2 inches tall. Howmany inches taller is Andrea's father than Andrea.
6'2 = 74 inches.
74-58 = 16
16 inches taller.
Hope this helps ^^
60 points! Please help me fast this is due soon. I will mark brainliest. Random answers will be reported.
Answer:
k = 1/4, m = 16Step-by-step explanation:
Scale factor is the ratio of the corresponding sides:
k = 7/28 = 1/4Find m using the scale factor:
m*1/4 = 4m = 16Answer:
scale factor is 4 and m is 16.
Step-by-step explanation:
This is because these are similar rectangles, so the proportion of each side to the congruent side is the same. This means that to get from 7 to 28 u multiply by a scale factor of 4, and to get m you would multiply 4 by 4.
Solve for x
Please help!!!!!
Answer:
6
Step-by-step explanation:
19x-4=17x+8
2x=12
x=6
Answer:
6
Step-by-step explanation:
19x-4=17x+8
19x-17x=8+4
2x=12
x=12/2
x=6
PS 5.1- Solving
9. The ratio of leaders to followers was 2:7. If there were a total of 108 people, how many were followers?
Answer:
84
Step-by-step explanation:
108 / (7+2) = 12
7 x 12 = 84
Answer:
84
Step-by-step explanation:
I'm pretty sure correct me if I'm wrong
50
Question 6
At the local zoo, the ratio of monkeys to tigers is 6:4 and there are 20 tigers, how many
monkeys are at the zoo?
30
13
40
3
133
Answer:
30
Step-by-step explanation:
What is the answer to 11/8 + (51/2 + 2 3/8)
Please hurry.
Answer:
29 3/4
Step-by-step explanation:
Evaluate (–1)8 + (–1)7 – 16 – 14 – (–1)2. Pay attention to the placement of the parentheses and negative signs. Question 1 options: A) 5 B) –3 C) –4 D) –23
Help
=================
Answer:
8 in²
Step-by-step explanation:
The area of a triangle is always base times half height. Since this triangle has a 90° corner, the vertical 4 inch is also the height.
So area is 4*4/2 = 8
Two numbers are such that one number is 456 more than the second number and their average is equal to 433. What are the two numbers?
Answer:
hope it may help you
Step-by-step explanation:
one number = 661
second number = 205