Answer:
1 ≤ q ≤ 2
Step-by-step explanation:
If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...
1 ≤ q and q ≤ 2
These inequalities can be combined into one compound inequality:
1 ≤ q ≤ 2
__
Additional comment
We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."
Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills. What is the approximate volume of water in Anju's cup?
Answer: 126 cubic centimeters
Step-by-step explanation:
volume = (pi)(r^2)(1/3)(h)
diameter = 8 so radius = 4
4 squared is 16
multiply height by 3/4
10(3/4) = 30/4 = 15/2
Multiply this value by 1/3
15/2 x 1/3 = 15/6 = 5/2
(pi)(25)(5/2)
16x5/2 = 80/2 = 40
(pi)(40)
note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.
126 cubic centimeters
94.2 cubic centimeters is the approximate volume of water in Anju's cup.
To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:
Volume = (1/3) × π × r² × h
Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.
The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.
Substituting these values into the formula:
Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)
Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm
Volume = 12.56 cm² × 7.5 cm
Volume = 94.2 cm²
Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).
To learn more on Volume click:
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Write each number without exponent 6.453 x 10^-3
Answer:
.006453
Step-by-step explanation:
6.453 x 10^-3
Move the decimal 3 places to the left since the exponent is negative
006.453
.006453
Solve for c.
c+38=113
Enter your answer as a fraction in simplest form in the box.
c =
Answer:
c = 75
Hope this helps!
Step-by-step explanation:
c + 38 = 113
c + 38 - 38 = 113 - 38
c = 113 - 38
c = 75
Assume you invest $5,000 in an account paying 8% interest compounded annually. How much money will be in the account after 5 years?
Answer:
$7346.64
Step-by-step explanation:
Amount after 5years=P(1+r/100)^t
let A = amount after 5years
A=$5000(1+8/100)^5
A=$7346.64 to 2 decimal places
find slope and y-intercept
5x+3y=-6
Answer:
[tex]m=-\frac53; q=-2[/tex]
Step-by-step explanation:
Let's bring the line in the classical [tex]y=mx+q[/tex] form
[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]
At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept
Determine if the table represents a linear function, quadratic function, or exponential function.
That would be linear because its going at a constant rate of change
Which one is not a function? And why not ?
Answer:
the selected answer/2
Step-by-step explanation:
not a function because the same y has 2 different x values
(7,1) and (-5,1)
Find the slope of the line that passes through the 2 points.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 1)/(-5 - 7)
m = 0/(-12)
m = 0
If needed,round your answer to the nearest cent.
please help me.
Answer:
1.62 per pen
Step-by-step explanation:
Take the total cost and divide by the number of pens
9.69/6
1.615
Round to the nearest cent
1.62 per pen
I will give you brainliest
Which equation represents the sentence?
The sum of 10 and a number is 3 times the number.
10 + n = 3n
10 + n = 3 + n
10 + 3n = n
10(n + 3) = n
Answer:
the first one
10+n = 3n
Step-by-step explanation:
n is the number
and 3n means 3*n
Answer: the answer the first one 10+n=3n
Step-by-step explanation:
n is the number
and 3n means 3*n
Thank you to anyone who can help!!
Answer:
Pentagon (the 5 sided shape) = 1
Cross-looking shape = 6
Star = 8
Square/Rectangle = 5
Hope this helps!
When 8 goes in,5 comes out
When 24 goes in.13comes out
when 70 goes in,__ comes out
What is the missing answer?
When 70 goes in, 36 comes out.
The pattern for this is x/2 + 1.
8/2 = 4, 4+1 = 5
24/2 = 12, 12+1 = 13
70/2 = 35, 35+1 = 36
The selling price of an item is $550 it’s marked down by 20% but the sale price is still marked up from the cost of $400 find the markup from cost to sale price
Help me solve this -> g(x) = 2x + 3
g(7)
Answer:
17
Step-by-step explanation:
g(7) = 2(7) +3
substitution
GEOMETRY HELP ME PLEASE ASAP
Right and equation of a line passing through the point (-6,-3) and perpendicular to line JK with J(-2,-7) and K(6,5)
Answer:
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Step-by-step explanation:
there
Consider the equation below.
-5n + 31 - 14n -
5–59 + 31 = –14n – 5
-
Select the equation that has the same solution.
-1 – 22n
20n – 9–1 – 22n = –20n - 9
0
1 = 0.75n + 3.251 = 0.75n + 3.25
In + 2 = −3+ min + 2 =
3 + 1
3 – 6n + 3n = – 3 + 4 – 4n3 – 6n + 3n = -3 + 4 – 4n
Answer:
-1 - 22m
Step-by-step explanation:
Someone help me pls!
You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40
How much will you save per apple if you buy them at the cheaper store?
Answer:
You save $0.09 at Quick Mart for price per apple
Step-by-step explanation:
Quick mart = 1.17/3 = $0.39 per apple
Shop & Save = $0.48
$0.39 - $0.48 = $0.09
You save $0.09 per apple at Quick Mart
-Chetan K
is 60:45 and 4:3 are equivalent ratios
Answer:
yes
Step-by-step explanation:
if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.
Which graph represents the function f (x) = –| x - 3| + 1
Answer:
D
last one
Step-by-step explanation:
Create a random triangle, ABC Measure and record its angles.
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
3/4 ÷ 1/2 +1 ddgngadgaekyfyuktyjrthrgefwretrytjyktuli;obpnML"NKP?boliykujhtgrfedw
Answer:
5/2
Step-by-step explanation:
alternative = 2 1/2 , 2.5
plz help I need answer asap!
Answer:
x=2.4
Step-by-step explanation:
for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4
Answer:
x=2.4
Step-by-step explanation:
This is simple! If you know how to find scale factor then then problem is a breeze.
Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3
Now to find that missing side= x
4 / 1.66666666667= 2.4
x=2.4
( pssstt! This “/“ means division ;-)
hope this helped :D
HELP MEEEEEEEE PLEASE
Answer:
Option A (3/4)
Step-by-step explanation:
Please mark Brainliest
Answer:
THATS CORREC T
Step-by-step explanation:
CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING
for f(x)=8x+8, find f(x) when x=5
A:-32
B:56
C:104
D:48
Answer:
D. 48
Step-by-step explanation:
f(x)=8x+8
f(x)=40+8
f(x)=48
A you-pick blueberry farm offers 6 lbs of blueberry for $16.50.
Sketch a graph of the relationship between cost and pounds of blueberries
Answer:
Step-by-step explanation:
Lol hi
Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.
Answer:
6 ft/s
Hope I helped
After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?
a (n)=a1 × r^(n-1)
a1=5120
a2=1280
a3=320
a4=80
-->a2/a1=1280/5120=0.25
-->a3/a2=320/1280=0.25
-->a4/a3=80/320=0.25
ration(r) =0.25
■■■a(n)=a1 × r^(n-1)■■■
a (5)=5120×0.25^(5-1)
a (5)=5120 × 0.25 ^(4)
a (5) = 5120 × 0.00390625
a (5) = 20
Given f(x) = 8x + 1 and g(x) = f(x - 2), which equation represents g?
O A. g(x) = 6x + 1
O B. g(x) = 6x - 1
O C. g(x) = 8x + 15
O D. g(x) = 8x - 15
Answer:Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g substitute x-2 for x in f(x). we have. g(x)=8(x-2)+1. =8x-16+1. =8x-15.
Step-by-step explanation:
Please help I do not understand what to do or what the answer is
Answer:
Step-by-step explanation:
[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]
(1 , -3) & ( 1 , 0)
The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.
Slope is undefined.
3) (0,2) , (4 , 0)
[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.
Answer: r = 1
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Plugging in the following values would provide you with:
[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]
[tex]\frac{r + 5}{3} = 2[/tex]
[tex]r + 5 = 6[/tex]
[tex]r = 1[/tex]
Hope it helps :) and let me know if you want me to elaborate on anything.