Answer:
V = 150.72 cm³.
Step-by-step explanation:
First, get the volume of a cylinder.
V = πr²h
Where:
π = 3.14 (given)
r = radius (half of diameter, or 2)
h = height (12)
Knowing this, substitute the known values.
V = πr²h
V = (3.14)(2²)(12)
Square 2.
V = (3.14)(4)(12)
Multiply 3.14 and 4.
V = (12.56)(12)
Multiply 12.56 and 12.
V = 150.72.
Since it is already rounded to the nearest hundredth, that is your answer.
The normal yearly growth of a plant is 60 inches. The normal growth was ten inches more than twice the amount of last year. What was the growth of the plant last year?
The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The normal yearly growth of a plant is 60 inches.
Let's suppose the growth of the plant last year was x
The normal growth was ten inches more than twice the amount of last year.
From the above statement:
10 + 2x = 60
2x = 50
x = 25 inches
Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
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Which figure are shown in the diagram? Select three options
Line cd
Point d
Ray cd
Segment cd
Answer:
=Line cd
=Point cd
=Segment cd
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
negative StartFraction 4 Over 3 EndFraction
Answer:
the answer is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
to get the answer, just do [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
plug in the values
[tex]\frac{0-3}{5-1}=\frac{-3}{4} =-\frac{3}{4}[/tex]
That's how you get that.
Solve the radical equation.
√x+3-1= x
Answer:
x = 1
Step-by-step explanation:
Radical expression:
√(x+3)-1 = xLet's find the value of x.
Solved:
√(x+3)-1 = x
Transpose -1 to RHS:
=> √(x+3) = x+1Squaring both LHS and RHS,we have:
=> √(x+3)^2= (x+1)^2 => x+3 = x²+2x+1Subtracting x^2+2x+1 from both sides,we have:
=>x+3−(x²+2x+1)=x²+2x+1−(x²+2x+1)=> −x^2−x+2=0Factoring LHS,we have:
=>(−x+1)(x+2)=0Setting (-x+1) = 0 and (x+2) = 0 each time:
=>(-x+1) = 0=> x-1 = 0=> x = 0+1=> x=1Now
=> (x+2) = 0=> x= 0-2=> x = -2There are two solutions– (1,-2)
Let's plug to the given equation to check.
x = 1 :√(x+3) -1 = x
√(1+3)-1 = 1√4 - 1 = 12 - 1 = 11 = 1Equation is true,when plugged to x = 1.
x = -2:√(x+3) -1 = x
√(2+3) - 1 = -2√5 -1 = -22.23606 - 1 = -21.236 = -2Equation is false,when plugged to x = -2.
Hence,the value of x is 1.
-Regards,Hannah
A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $4 for every pot that is delivered safely. The moving company must pay the florist $5 each for any pots that are lost or broken. If 6 pots are lost, 12 pots are broken, and the rest are delivered safely, how much should the moving company be paid?
Answer:
$596
Step-by-step explanation:
So, firstly, let's take all the essential info and put it in bullet points:
$200 moving fee$4 for every pot delivered safley$5 each per pot that is lost/brokenNext, what do we know about what's happened to the pots?
6 pots are lost12 pots are broken578 pots are supposed to be deliveredNow, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-
200
Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.
So, we can subtract that from the total payment.
200-18=182
Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:
578+18=596
So, the total amount you would be paying is $596.
3. Siti and Mary shared $35 in the ratio 4:3.
How much money did Siti receive?
Answer:
$20
Step-by-step explanation:
First we will change the ratio so that we are finding how much money Siti receives to the total amount of money.
[tex]4:3 \rightarrow 4:(3+4)=4:7[/tex]
Now we can solve for how much money Siti receives using a proportion.
[tex]\frac{4}{7} = \frac{\mbox{money Siti receives}}{35}[/tex]
We can see that the denominator increases 5 times, so the numerator must increase 5 times too. This means Siti receives $20.
1/2 inch represents a distance of 1/8 mile.her house is two miles away from school
Answer:
1/6
Step-by-step explanation:
the answer is 1/6th use subtraction
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The question is incomplete:
The complete question is:
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?Why do you think they are or are not exactly the same?What did you learn from developing this presentation?
We are assuming the length of one side x:
x = 18 cm
Length of other side y:
y = 15 cm
And length of the hypotenuse z:
z = 23.5 cm
From the Pythagoras theorem:
z² = x² + y²
z² = 18² + 15²
z² = 549
z = √54 = 23.43 cm
The measure of hypotenuse is:
Using ruler: x = 25.5 cm
Using formula: x = 23.43 cm
They are not equal due to the reading in the ruler.
The formula can be used to in the real life problems as well.
Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
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solve for x in the following equations
Answer:
2.
[tex]x = \frac{11}{4} = 2 \frac{3}{4} = 2.75[/tex]
3.
[tex]x = \frac{5}{2} = 2 \frac{1}{2} = 2.5[/tex]
4.
[tex]x = \frac{3}{7} ≈0.428571429[/tex]
Express the statement as an inequality.
(a) x is negative.
x ≥ 0
x > 0
x < 0
x = 0
x ≤ 0
(b) y is nonnegative.
y < 0
y ≥ 0
y = 0
y ≤ 0
y > 0
(c) q is less than or equal to .
q <
q ≤
q >
q =
q ≥
(d) d is between 2 and 1.
1 ≤ d ≤ 2
d < 1 < 2
2 ≥ d ≥ 1
1 < d < 2
1 < 2 < d
(e) t is not less than 5.
t ≥ 5
t > 5
t = 5
t < 5
t ≤ 5
(f) The negative of z is not greater than 3.
z ≤ −3
−z ≤ 3
z < 3
−z < 3
z ≤ 3
(g) The quotient of p and q is at most 6.
p/q < 6
p/q = 6
p/q > 6
p/q ≤ 6
p/q ≥ 6
(h) The reciprocal of w is at least 9.
1/w < 9
1/w ≥ 9
1/w ≤ 9
1/w > 9
1/w = 9
(i) The absolute value of x is greater than 6.
|x| ≥ 6
|x| ≤ 6
|x| = 6
|x| > 6
|x| < 6
The expression of the inequality word problems for each question is; As expressed below
How to express inequalities?A) x is negative. This can be expressed as;
x < 0
B) y is non-negative. This can be expressed as;
y > 0
C) q is less than or equal to is expressed as; q ≤
D) d is between 2 and 1 is expressed as 1 < d < 2
E) t is not less than 5 is t ≥ 5
F) The negative of z is not greater than 3 is expressed as;
−z ≤ 3
G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6
H) The reciprocal of w is at least 9 is 1/w ≥ 9.
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a certain rectangular carpet covers 200 square meters. it’s width is 4 meters. how long is the carpet?
Answer:
50 square meters
Step-by-step explanation:
An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?
Pls help meee!!!!!!!!!
Answer:
IT IS 40
Step-by-step explanation:
oh my gosh I spent forever on this
ok so we want both equations answers to match since the angles are congruent
So I started at three and of course that was wrong
the way I got 40 was by increasing "x"
and then looking at the difference at both equations answers
for example 36
36x3= 108 -10 =98 and 36 x 2 = 72 +30= 102
so 102-98=4 so I knew I was getting close because we want the difference to be zero
so yeah I made my way up to forty and got it
hope that helps!
Which of these is not represented by one of the letters in PITI?
OA. Title
O
B. Principal
о C. Insurance
O
D. Interest
The option not represented by one of the letters in PITI is (a) Title
How to determine the letter not represented?The acronym is give as:
PITI
The meaning of the above acronym is:
P -> PrincipalI ->InterestT -> TaxesI -> InsuranceFrom the list of given options, we can see that Title is not represented in the letters
Hence, the option not represented by one of the letters in PITI is (a) Title
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The option which is not represented by one of the letters in PITI is,
(a) Title
We have to given that,
The acronym is give as:
⇒ PITI
Since, We know that,
The full form of the above acronym PITI is:
P = Principal
I = Interest
T = Taxes
I = Insurance
Hence, From the list of given options, we can see that Title is not represented in the letters
Therefore, the option not represented by one of the letters in PITI is (a) Title
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i will mark as brainiest
If two triangles are similar, then their side lengths are proportional.
RS / JK = RT / JL
5 / x = 4 / 7
4x = 35
x = 35/4 = 8.75
RT / JL = TS / LK
4 / 7 = 6 / (y + 2)
42 = 4(y + 2)
42 = 4y + 4
4y = 38
y = 38/4 = 9.5
LK = 9.5 + 2 = 11.5 cm
JK = x = 8.75
Hope this helps!
F 6. A carpenter bought a table for 3500. He spent 500 on repairing and painting it. He then sold it for 3500. What was his profit or loss?
Answer:
the carpenter lost 500
Step-by-step explanation:
if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500
Consider the function represented by with x as the independent variable. How can this function be written using function notation?
A function assigns the values. This function can be written using function notation as f(x).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function represented by x as the independent variable. Therefore, this function can be written using function notation as f(x).
Hence, this function can be written using function notation as f(x).
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Answer: f(x)-3x+4
Step-by-step explanation:
trust me
Find the value of x.
5+x=7
x = [?]
Answer:
x = 2Step-by-step explanation:
Find the value of x.
5+x=7
x = [?]
5 + x = 7
x = 7 - 5
x = 2
----------------check
5 + 2 = 7
7 = 7
the answer is good
A circular plate has circumference 25 7 inches.what is the area of the plate
Answer:
52.56 square inches.
Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.
2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.
He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.
Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.
The volume of the complete sculpture = 4(Volume of a single pyramid)
= 4[(1/3) × (2 ft)² × 1.5 ft]
= 4(2 ft³)
= 8 ft³
Hence, the amount of sculpting material needed is 8 ft³.
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Answer:
8ft.^3
Step-by-step explanation:
I just took the test on edge :)
What are m and b in the linear equation 10 + 4x + 3 + 2x = y?
Answer:
m = 6
b = 13
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this equation, "m" represents the slope and "b" represents the y-intercept. To determine these variables, you need to rearrange/simplify the given equation.
10 + 4x + 3 + 2x = y <---- Original equation
10 + 3 + 4x + 2x = y <---- Rearrange
13 + 4x + 2x = y <---- Combine 10 and 3
13 + 6x = y <---- Combine 4x and 2x
y = 6x + 13 <---- Rearrange
As you can now see, the number in the "m" position is (6) and the number in the "b" position is (13).
Multiply and express as a mixed fraction
6 × 2 1/9
Answer should be 12 ⅔
I need method
Please answer correctly
Multiply and express as a mixed fraction
6 × 2 1/9
Solve for p: -3p + 2 > 5
To solve these types of problems:
⇒ just solve like a regular algebraic equation
⇒ with an inequality sign in the middle
Let's solve:
[tex]-3p + 2 > 5\\-3p > 3[/tex]
whenever there is any division/multiplication⇒ must change the inequality sign to face the other direction
[tex]-3p > 3\\p < -1[/tex]
Answer: p < -1
Hope that helps!
Answer:
p < -1
Step-by-step explanation:
-3p + 2 > 5
subtract 2 from both sides
-3p + 2 - 2 > 5 - 2
-3p > 3
divided both sides by -3 to get p alone
-3p / -3 > 3 / -3 reverse the inequality
p > -1
10 + 5/12c = 20 (deltamath.com Two Step Equations with Fractional Coefficients (L1)
The diameter of a circle is 18 centimeters. What is the circle's circumference?
Answer:
Circumference ≈ 56.55
Step-by-step explanation:
Given:
Diameter = 18 cmTo Find:
The circumference of the circleSolution:
Here we'll use the formula of finding the circumference,i.e :
[tex] \boxed{\rm \: C = πd}[/tex]
Here, d = diameterThe value of π is not given, so let us take π = 3.14C = circumferenceSubstitute them onto the formula:
d = 18 cmπ = 3.14[tex]\rm C = \pi(18) \: cm[/tex]
[tex]\rm C = 3.14 \times 18 \: cm[/tex]
[tex] \boxed{\rm C \approx \: 56.55}[/tex]
Hence, the circumference of the circle is 56.55(approx).
Help ASAP! Please this is hard!
11+22+33+44+55+66+77+88+99+110+220+330+440+550+660+770+880+990+1110=
Answer:
6545
Step-by-step explanation:
i spent time on this. i had to type out everything. by. hand.
see calculator image for proof. enjoy.
Answer: 6,555 im good at trig and using the pythagorean therum
Step-by-step explanation: brainliest?
The distance between points (3, 7) and (x₁, y ) is the square root of (x₁ - 3)² + (y₁ - 7)².
true or false
Based on the distance formula, the distance between points (3, 7) and (x1, y) is: [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]. SO, it is TRUE.
What is the Distance Formula?The distance formula which can be applied to find the distance between two coordinate points is: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].
Given the points:
(x1, y1)
(3, 7) = (x2, y2)
Substitute
[tex]d = \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]
Therefore, the statement that says the distance between points (3, 7) and (x1, y) = [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex], is TRUE.
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Sheena needs 1 3/4 cups of sugar to make pancakes. she already has 5/8 cups of sugar. how much more does she need?
Answer:1 1/8
Step-by-step explanation:
1 3/4 = 1 6/8
1 6/8 = 14/8
14/8-5/8=9/8
9/8=1 1/8
hope this helped!
he life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean lifetime of a bulb is 540 hours. Find the probability of a bulb lasting for at most 569 hours. Round your answer to four decimal places.
Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 540, \sigma = \sqrt{625} = 25[/tex]
The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{569 - 540}{25}[/tex]
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
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