Answer:
x²+8
Step-by-step explanation:
what is the value pf the expression (x-y) when x=5 and y=-1
Answer:
(5 - (-1)) or 6
Step-by-step explanation:
Substitute the variables
= (x - y)
=(5 - (-1))
= 6
Hope this was simple enough for you to understand!
find the value of x pls
Answer:
x= 19
Step-by-step explanation:
We know this a 90 degree angle and we already have 59 degree as on part of the angle so the equation to set this up is (x+12) + 59= 90
12+59= 71
x+71=90 subtract 71 and whatever you do to one side do to the other.
90-71= 19
x=19
A cylinder has a radius of 6 in. And hieght of 10 in. What is the surface area of this cylinder
\( \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}\)
Question :-
A cylinder has a radius of 6 in and a height of 10 in. What is the surface area of this cylinder?Answer :-
The surface area of the cylinder is 602.88 in².\( \rule{180pt}{3pt}\)
Diagram :-
\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{6 \: in}}\put(9,17.5){\sf{10 \: in}}\end{picture}\)
Solution :-
As per the provided information in the given question, we have been given that the radius of the cylinder is 6 in. The height of the cylinder is 10 in. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
\(\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}\)
Substitute the given values into the above formula and solve for surface area:
\(\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh\)
\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(6 \: in)^2 + (2)(3.14)(6 \: in)(10\:in) \)
\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(36 \: in^2) + (2)(3.14)(60\:in^2) \)
\(\sf:\implies Surface \: Area_{(Cylinder)} = (2)(113.04 \: in^2) + (2)(188.4 \: in^2) \)
\(\sf:\implies Surface \: Area_{(Cylinder)} = 226.08 \: in^2 + 376.8 \: in^2 \)
\(\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 602.88 \: in^2}\)
Therefore :-
The surface area of the cylinder is 602.88 in².\(\\\)
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Charlie drove 208 miles in 4 hours at a constant speed. He continues at that speed. Give the equation that shows the relationship between
driving hours (h) and miles driven (m).
Answer:
d = 52tStep-by-step explanation:
The relationship between driving hours (h) and miles driven (m) is expressed as:
speed = distance/time
Given
Distance = 208miles
Time = 4hours
Substitute to get the speed first
Speed = 208/4
Speed = 52mi/hr
From the formula
S = d/t
Substitute the speed gotten
52 = d/t
d = 52t
Hence the equation that shows the relationship between driving hours (h) and miles driven (m) is d = 52t where d is measures in miles and t in hr
A six-digit password is picked from the numerals 0 - 9. How many different passwords are possible if no number is repeated?
Answer:The answer is 600.
Step-by-step explanation:
How many outcomes are there?
Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain.
Answer:
Below
Step-by-step explanation:
"Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup"
(I changed the numbers to fractions ....)
she needs 3/8 + 1/4 cup ....add them together by finding a common denominator
1/4 = 2/8
then 3/8 + 2/8 = (3+2)/8 = 5/8 cup
if she has one cup of water she has enough....she only needs 5/8 cup
please help me with this
Answer:
\( \frac{17}{8} + \frac{5}{3} = \frac{51 + 40}{24} = \frac{91}{24} \)
hope it can help u~~
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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2x+18=4x-14 pls help me - johnny
Answer: x=16
Step-by-step explanation: 18=2x-14
32=2x
x= 16
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
9 57
If A=
18
find 2A.
Option C
The Maryland Department of Transportation reported the following data on driving Speed (miles per hour, mph) and fuel efficiency or Mileage (miles per gallon, mpg), for ten mid-size automobiles: 1 23 4 5 6 7 89 10 Automobile Speed (mph 30 50 40 55 30 25 60 25 50 55 Mileage (mpg)2 25 25 2330 32 2 32625 a. Compute the sample bivariate correlation coefficient. b. Interpret the strength (magnitude) and sign (direction) of the sample bivariate correlation coefficient. Test whether the population bivariate correlation coefficient difers significantly from zero at α-0.01. c.State the null and alternative hypotheses associated with the test. d. What is the calculated value of the associated test statistic? e. What is the critical value of the associated test statistic? f.State your decision regarding the null hypothesis. g. State your conclusion (meaning, describe what the decision means in this problem)
On solving the provided question we can say that - correlation coefficient of the question is r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) = -0.91
What is correlation coefficient ?The Pearson's correlation coefficient, also known as the Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply correlation coefficient, is a statistical indicator of the linear relationship between two sets of data.
\(S_{xx} =\)∑\(x^2\) - (∑x\()^2\) /n = 19300- ((420)^2 /10)= 1660
\(S_{yy} =\) ∑\(y^2\) (∑y\()^2\)/n = 7454- ((270)^2 /10) = 164
\(S_{xy} =\)∑\((xy)^2\)/n -475
The correlation coefficient is:
r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) = -0.91
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solve for X : 2 ≥ x3=6
i will give brainliest
PLS HELP ME WITH THIS QUESTION PLS
PLS SHOW YOUR WORKING OUT
The maximum volume of the right circular cylinder is 4915 cm³ [ in whole number].
What is right circular cylinder?
It is a specific type of cylinder whose bases are circular in shape and parallel to each other is called the right circular cylinder. It is a three-dimensional shape.
Given that the radius of a right circular cylinder is x cm.
The height of the cylinder is ( 800/πx -x) cm
Here x is the variable.
The volume of the cylinder is denoted by V.
The formula for the volume of the cylinder is π× (radius)²× height
so the volume here is π×x²×(800/πx -x)
So V = π×x²×(800/πx -x) = π( 800x/π - x³)
we need to find dv/dx and d²v/dx²
dv/dx = d/dx { π( 800x/π - x³) }
= π d/dx(800x/π - x³) [ since π is constant]
= π (800/π - 3x²)
Now taking dv/dx= 0 we get,
π (800/π - 3x²)=0
⇒ (800/π - 3x²)=0
⇒ 800/π = 3x²
⇒ x² = 800/ 3π
⇒ x= √(800/3π)
Now d²v/dx² = d/dx( π (800/π - 3x²))
= - 3πx²
putting the value of x in d²v/dx² we get the negative value.
that is d²v/dx² <0 at x= √(800/3π)
so for x= √(800/3π) the volume will be maximum.
Then the maximum volume of the cylinder is
π × x²×(800/πx -x)-----------(1) at x= √(800/3π)
Hence by putting the value of x at equation (1) we get,
v= 4915 cm³ [ in whole number]
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The price of an item yesterday was .140 Today, the price fell to .98
Find the percentage decrease.
The cost of the item has decreased by 30%.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Today, the cost of the item was reduced to $98. That cost $140 the day prior.
Percentage decrease = [(original price - new price) / original price] x 100%
Using this formula, we can calculate the percentage decrease in the cost of the item as follows:
Percentage decrease = [(140 - 98) / 140] x 100%
Percentage decrease = (42 / 140) x 100%
Percentage decrease = 0.3 x 100%
Percentage decrease = 30%
Therefore, the cost of the item has decreased by 30%.
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Complete question:
The price of an item had dropped to $98 today. Yesterday it was $140. find the percentage decrease.
Factor the expression x(x-5x-24)
Answer: -4x² - 24x
Step-by-step explanation:
First, simplify and combine terms.
x(x-5x - 24)
x(-4x - 24)
Then, Distribute.
x(-4x - 24)
-4x² - 24
8 - (-9) simplified with each expression
Hi :)
Let's remember some arithmetic w/ negative integers :
a+(-b)=a-b
a-(-b)=a-b
Now
8-(-9)=8+9=17
So the answer's 17
I hope this helps
Anna travelled 3 miles by bus, 5 miles by train, and the rest 7
miles by car. Find the percentage of distance travelled by her in
the train?
45.455% is the percentage of distance travelled by her in the train .
In math, what is a distance?
The length of the line segment connecting the two sites is used to measure distance between them.
The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.
Distance travelled by bus = 3 miles
Distance travelled by train = 5 miles
Distance travelled by car = 3 miles
Total distance travelled = 3 + 5 + 3 = 11 miles
the percentage of distance travelled by her in the train = 5/11 * 100
= 45.455%
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The probability of drawing a pink marble from a bag containing these marbles is 3/10 If you replace the marble each time predict how many times a pink marble will be chosen out of 100 draws
The answer is 30
Sorry I know im late.
The number of times a pink marble can be chosen out of 100 draws is 30.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The probability of drawing a pink marble from a bag containing these marbles is 3/10.
This means,
There are 3 pink marbles out of 10 marbles.
Now,
Total marbles = 100.
The total number of pink marbles.
= 3/10 x 100
= 30
Thus,
30 times a pink marble can be chosen.
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What is the equation of the line in slope intercept form
Answer:
y = 8x + 38
Step-by-step explanation:
parallel to y=8x -3, that means the slope(m) = 8
points : -4 , 6
now put them in the formula y = mx + b
6 = 8(-4) + b
6 = -32 + b
6 + 32 = b
b = 38
y = 8x + 38
Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
can someone please help me ??!!
e-Test Active
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Of(x) = -3x+4
Of(x) = -x +
Of(v)=-3y+4
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TIME REI
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be
written using function notation?
42-
The function notation of 9x + 3y = 12 is given as follows:
f(x) = 4 - 3x.
How to write the function notation?The function in the context of this problem is given as follows:
9x + 3y = 12.
The format for the function notation is given as follows:
Hence we must isolate the variable y, as follows:
3y = 12 - 9x
y = 4 - 3x (each term of the expression is divided by 3).
f(x) = 4 - 3x.
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10×a number added to 5is same as 9times the nunber is what
Answer:
Negative 5
Step-by-step explanation:
Start by subtracting 5 from both sides, this is because it is the coefficient on the left side.\(10x+5-5=9x-5\)
Next, simplify by subtracting 5. Note that you can't subtract a singular whole number from a term, basically a number with a variable next to it.\(10x+5-5\\= 10x+\left(5-5\right)\\= 5-5\\=0\\=10x+0\\=10x\)
--------------
\(9x-5\\= 9x-5\)
Third, identify the simplified equation.→ \(10x=9x-5\)
Fourth, subtract by the term 9x. You always subtract by the term/leading term on the right side at this point in an inequality or algebraic equation. Note: Assume x is 1 as a placeholder until you find x's real value.\(10x-9x=9x-5-9x\)
\(10x - 9x\\= 1x\\= 1 \times x\\= 1\)
\(9x-5-9x\\=9x\left(-5\right)-9x\\= 9x - 9x\\= 0 - \left(-5\right)\\= -5\\x = -5\)
Hope this helps!
need help pls and thank you
Answer:
y=25x
Step-by-step explanation:
It is a linear equation with a slope of 25
Write an expression that is equivalent to -5+6a+(-8)+(-3a)
Answer:
-5+6a-8-3a
=6a-3a-5-8
=3a-13
Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
Figure B is a scale image of Figure A, as shown.
Answer:
\(\bold{2\frac{4}{5}}\) or 2.8
Step-by-step explanation:
Scale factor is the original value multiplied by a number. So if we are looking for the scale factor, and it is multiplication, we should do the opposite action. The inverse operation for multiplication is division.
Step 1: Divide 7 by 2.5
\(\frac{7}{2.8}\)
\(7\div2.5=\bold{2.8}\)
Now, we can also confirm if this is correct. Simply multiply the answer to the original image.
\(2.8\times2.5=7\)
Therefore, the scale factor is 2.8, or \(\bold{2\frac{4}{5}}\) in fraction form.
Solve the equation
2x - 1/ 4
+ x/3 = 2
Answer:
= 2 7 /2 8
Step-by-step explanation:
Answer:
x = 1 1/8
Step-by-step explanation:
2x - 1/4 + x/3 = 2
2x + x/3 = 2 1/4 (added 1/4 to both sides)
6x = 6.75 (multiplied both sides by 3)
x = 1 1/8, or 1.125
:-)