Answer:
3(2x-5)(x+2)
Step-by-step explanation:
Factor out the 3.
3(2x²-x-10)
Factor the remaining.
3(2x-5)(x+2)
(I don‘t know what grid they’re talking about.)
the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.
Answer:
215483 cm³
Step-by-step explanation:
Formula for volume of a cylinder = πr² · h
radius = 1/2diameter
1. Set up the equation
(3.14)(15²)(305)
2. Solve
215482.5
rounded to the nearest cubic centimeter = 215483 cm³
Answer:
215483 cm³
Step-by-step explanation:
credit goes to person up top
Which equation represents a population of 320 animals that decreases at an annual rate of 19% ?
A. p=320(1.19)t
B. p=320(0.81)t
C. p=320(0.19)t
D. p=320(1.81)t
Use the ^ symbol to indicate exponents. So for instance 4^2 = 4 squared.
A decrease of 19% means we have r = -0.19 and 1+r = 1+(-0.19) = 0.81 as the base of the exponent. A decrease of 19% means the population retains 81% each year.
What are the solutions to the quadratic equation below?
4X2 +28x + 49 = 5
Wanja had 240 orange trees.Elephant destroyed 36 of them .What was the percentage decrease in the number of the orange trees
Pls mark me brainliest
Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?
Answer:
3 chocolate bars, and 2 graham crackers
Someone forgot the marshmallows...... :P
Step-by-step explanation:
Chocolate bars = 8 pack
Graham Crackers = 12pack
To have no crackers or chocolate left over, we need to find LCM
Factors of 8:
8, 16, 24, 32, 40, 48, 56, 72....
Factors of 12:
12, 24, 36, 48, 60, 72
The smallest LCM is 24
Chocolate bars:
24/8 = 3
Graham Crackers:
24/12 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
3 packs of chocolate and 2 packs of crackers
Step-by-step explanation:
the lowest common multiple of 8 and 12 is 24. We can determine this by prime factorization:
Prime factors of 8: 2 x 2 x 2
Prime factors of 12: 2 x 2 x 3
multipyling the bottom rungs of our factor tree we get: 2 x 2 x 2 x 3 = 24.
If you need me to draw the factor tree, just ask.
SOMEONE HELP ME PLEASE
Given: Figure of a plane named Q with a normal [tex]\overleftrightarrow{BF}[/tex] at point B, containing two lines [tex]\overleftrightarrow{AC}[/tex] and [tex]\overleftrightarrow{DE}[/tex] that intersect at point B
To find:
Another name for [tex]\overleftrightarrow{AB}[/tex] Two other names for plane QWhy EBD is not an acceptable name for plane QA line is named using any two points lying on it. A plane, on the other hand is named using any three non-collinear points lying on it.
The logic behind this is that there is an unique line passing through any two points. So, any two points lying on a line is sufficient to name the line.
Similarly, an unique plane can be found that passes through any two lines. That is, any two lines lying on a plane is sufficient to name the plane. Since a line can be defined uniquely by two points, two lines can be defined uniquely by two points each, that is, four points. However, if we take a common point, that is, if we take the point of intersection of the two lines as one of our points, then we need at most three points to define a plane.
Note that, we have to take care that the three points be non-collinear, because if they are collinear, they can only give a single unique line which is not sufficient to uniquely give a plane. Indeed, infinite number of planes passes through a single line.
So, we name a line using two points lying on it and a plane using three non-collinear points lying on it.
Now, the line [tex]\overleftrightarrow{AB}[/tex] clearly passes through points A and B. As can be seen from the figure, it also passes through the point C. We name a line using any two points lying on the line.
So, another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex].
The plane Q contains the points A, B, C, D and E of which the points A, B and C, and the points E, B and D are collinear. So, choosing two sets of three points each such that they are non-collinear, we can have points A, E and C, and the points C, D and B.
Equivalently, two other names for the plane Q can be AEC and CDB.
EBD is not an acceptable name for plane Q because the points E, B and D are collinear points, that is they lie on the same line.
So, we have found that another name for [tex]\overleftrightarrow{AB}[/tex] can be [tex]\overleftrightarrow{AC}[/tex], two other names for the plane Q can be AEC and CDB, and EBD is not an acceptable name for plane Q because the points E, B and D are collinear points.
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Use the formula for the volume of a cylinder to find the volume of a water tank (in ft with a radius of 15 feet and a height of 35 feet. Round to two decimal places.
Answer:
24,740.04 ft³
Step-by-step explanation:
Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.
Plug in the values and solve for V:
V = [tex]\pi[/tex](15²)(35)
V = 24740.04215
Round:
V = 24,740.04 ft³
The volume of a water tank will be; 24,740.04 ft³.
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = πr²h
where r is the radius and h is the height.
We have been given a cylinder that has a radius of 15 feet and a height of 35 feet.
We need to find the volume of a water tank.
Now Plug in the values and solve for V:
V = π(15²)(35)
V = 24740.04215
Round: V = 24,740.04 ft³
Hence, the volume of a water tank will be; 24,740.04 ft³.
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Evaluate 1 3 m − 1 − 1 2 n 3 1 m−1− 2 1 nstart fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction, 1, divided by, 2, end fraction, n when m = 2 1 m=21m, equals, 21 and n = 1 2 n=12n, equals, 12.
Answer:
0
Step-by-step explanation:
Apparently, you want the value of ...
[tex]\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}[/tex]
The value of the given expression for the given variable values is zero.
HELPP ASAP NEEDED MATH
There are $20n$ members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If $n$ is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?
Answer:
992
Step-by-step explanation:
Divide 1000 by 26.
The answer is 38 and some left over. We don't care what the leftover is because it is nearly 0.5 and that means 13 people were left over.
Take the integer value (38) and multiply it by 26. You get 988.
You want there to be 4 left over. 4 + 988 = 992. That's one way of doing the problem.
Answer: 940 people is the maximum
==========================================
Explanation:
n = 1 means 20n = 20*1 = 20 members total, which is 4 short of making a row of 26 (so the remainder is 20)
n = 2 means 20n = 20*2 = 40 members. 40/26 = 1 remainder 14. We could make one full row with 14 members left over.
20n < 1000 solves to n < 50 after dividing both sides by 20. This means n is smaller than 50. It has to be larger than 0 or else 20n would be 0 or negative. We can write 0 < n < 50 to specify the range for n.
Since n < 50, this means the largest n can get is n = 49.
--------------------
If n = 49, then 20n = 20*49 = 980
980/26 = 37 remainder 18, which isn't the remainder we want (of 4).
If n = 48, then 20n = 20*48 = 960
960/26 = 36 remainder 24, again not the remainder we want
If n = 47, then 20n = 20*47 = 940
940/26 = 36 remainder 4
If we have 940 members, then we can form 36 rows (26 in each row). So 26*36 = 936 people so far. Then we have 940-936 = 4 people left over.
There are other solutions as well such as n = 34, n = 21, and n = 8. Though n = 47 is the largest n possible to fit all the conditions required.
What is the slope of the line?
A) -1/3
B) 1/3
C) -3
D) 3
Answer:
Hey there!
A simple way to think about slope is rise over run. Between any two points on this line, the rise is 3, and the run is -1.
3/-1=-3, so the slope is -3.
Let me know if this helps :)
The cost of a daily rental car is as follows: The initial fee is $59.99 for the car, and it costs $0.30 per mile. If Joan's bill was $200.00 before taxes, how many miles did she drive? Please help!
Answer:
466.7 or 42.003 miles
Step-by-step explanation:
subtract 59.99 from 200.00. Then you have 140.01 and divide or multiply it by 0.30.
Choose which of the following demonstrate a dilation centered at the origin: (x,y)→(1.5x,1.5y) choose a graph.
The dilation rule (x,y) --> (1.5x, 1.5y) says to multiply each coordinate by the scale factor 1.5
Point A in blue is located at (5,5). After dilation, it will move to A ' (7.5, 7.5)
Point B is located at (0,2) and it moves to B ' (0,3)
Point C is located at (1,-1) and it moves to C ' (1.5, -1.5)
This all matches with what is shown below, so the answer is choice B
Question
A 2018 Olympic gold medal has a mass of 586 grams. What is the mass of a 2018 Olympic gold medal in
hectograms?
(1 hectogram = 100 grams)
O 0.586
O 5.86
58.6
5,860
Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°
The measure of angle Q in the triangle QMN is 52.83°
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
For a triangle with sides a, b, c and respective opposite angles A, B, C, cosine rule is:
a² = b² + c² - 2bc * cos(A)
In triangle QMN, QM = 18, MN = 17, QN = 20, hence:
17² = 18² + 20² - 2(18)(20) * cos(Q)
Q = 52.83°
The measure of angle Q in the triangle QMN is 52.83°
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Answer:
53
Step-by-step explanation:
its rounded
244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?
Answer:
Totally number of coaches needed is 12
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
NASA is painting the nose cone of a sounding rocket with a special sealant which reduces the air-drag on the rocket. If they need to do two coats of the sealant, how many square feet are they painting? Use π = 3.14.
Answer:
The formula for the lateral surface area (LSA) of a right cone is:
LSA = π x r x l
where: r as radius, and l as the slant height of the cone
If NASA need to do two coats of the sealant, the number of square feet that they are painting is: 2 x LSA = 2 x π x r x l
Step-by-step explanation:
Answer:
56.5 ft^2
Step-by-step explanation:
After you calulate the the surface area and double it, subtract the area of the circle.
Suppose there are approximately 220 calories in 3 servings of a particular brand of cereal and 362 calories in 5 servings of the same cereal. Find the rate of change.
Answer:
.93 calories per serving
Step-by-step explanation:
220 ÷ 3 = 73.3333333 calories per serving
3 ÷ 220 = 0.0136363636
362 ÷ 5 = 72.4
5 ÷ 362 = 0.0138121547
73.3333333 - 72.4 = 0.9333333 = around .93
plz help me ASAP!!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 6 units in t corresponds to an increase of 7 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is . Graph the line.
Answer:
7/6
Step-by-step explanation:
You have correctly graphed the line, so you know that the rate of change is ...
∆d/∆t = 7/6
d changes by 7/6 units for each unit change in t.
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
B
Step-by-step explanation:
Given f(x) then f(x + k) represents a horizontal translation of f(x)
• If k > 0 then shift left by k units
• If k < 0 then shift right by k units
Here g( x) is f(x) moved 5 units right, thus
g(x) = (x - 5)² → B
Monica made a drawing of her patio using the scale 1 inch equals 4 feet. The length of the patio in her drawing was 11 inches. What was the length of the actual patio?
1 inch = 4 feet
11 inches = 44 feet (multiply both sides by 11)
Answer: 44 feetfind the matrices of
[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]
Creating equations
[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]
[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]
[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]
From eq(2)[tex]\\ \sf\longmapsto 4y-3=5[/tex]
[tex]\\ \sf\longmapsto 4y=5+3[/tex]
[tex]\\ \sf\longmapsto 4y=8[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto y=2[/tex]
Put the value in eq(1)[tex]\\ \sf\longmapsto x-2y=-3[/tex]
[tex]\\ \sf\longmapsto x=-3+2y[/tex]
[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]
[tex]\\ \sf\longmapsto x=-3+4[/tex]
[tex]\\ \bf\longmapsto x=1[/tex]
Put the value in eq(4)[tex]\\ \sf\longmapsto 2y-z=3[/tex]
[tex]\\ \sf\longmapsto z=2y-3[/tex]
[tex]\\ \sf\longmapsto z=2(2)-3[/tex]
[tex]\\ \sf\longmapsto z=4-3[/tex]
[tex]\\ \bf\longmapsto z=1[/tex]
Bobby think that 5^2 = 10. What is wrong with this answer
Answer:
see below
Step-by-step explanation:
5^2 means 5*5 not 5*2
5^2 = 5*5 = 25 not 10
Answer:
5*5 = 25
bobby mistake is doing 5*2 = 10
Step-by-step explanation:
A game is played with a spinner on a circle, like the minute hand on a clock. the circle is marked evenly from 0 to 100, so, for example, the 3:00 position corresponds to 25, the 6:00 position to 50, and so on. the player spins the spinner, and the resulting number is the number of seconds he or she is given to solve a word puzzle. if 100 players are selected randomly, how many players are expected to get between 42 and 72 seconds to solve the puzzle?
Answer:
This is marked evenly from 0 to 100
This means that the total number of possible outcomes is:
D = 101
and the set of possible outcomes is:
O = {0, 1, 2, 3, ..., 100}
Now, the probability to geting between 42 and 72 seconds is equal to the quotient between the number of outcomes between 42 and 72, and the total possible outcomes.
The number of outcomes between 42 and 72 is:
72 - 42 = 30
Then the probability is:
P = 30/101 = 0.297
Then, out of the 100 players, we can expect that:
0.297*100 = 29.7 ≈ 30
(we rounded to the next whole number)
30 of them get between 42 and 72 seconds.
what's the greatest common factor of 5x^2+3x
Answer:
GCF = x
Step-by-step explanation:
The greatest common factor is "x"
[tex]5\,x^2+3\,x=x\,(5x+3)[/tex]
it is the only common factor we can extract from both terms
Hii, can you help me ?
Answer:
100, 101, 102, 103, 104
Step-by-step explanation:
Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.
Which equations have one solution and which have infinitely many solutions?
Answer:
Step-by-step explanation:
1). [tex]\frac{1}{2}g-4=2g-\frac{1}{2}g+4[/tex]
[tex]\frac{1}{2}g-4=\frac{3}{2}g+4[/tex]
Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.
2). -2.1b + 5.3 = b - 3.1b + 5.3
-2.1b + 5.3 = -2.1b + 5.3
Since left side of the equation is exactly same as right side of the equation.
Equation will have infinitely many solutions.
3). [tex]\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w[/tex]
[tex]\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w[/tex]
Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.
4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c
8.9c - 1.5 = 8.9c - 1.5
Left side of the equation is same as right side of the equation.
Therefore, there will be infinitely many solutions of the equation.
Answer:
C and f
Step-by-step explanation:
Hope this helps
solve y+1/2-2y-1/2=4
Answer:
y+1/2-2y-1/2=4
y-2y=4
-y=4
y=-4
Let me know if this helps!
Use the figure shown. Find the slope of the line.
у
4
3
C(-2,2)
B(-4, 2)
2
1
A(-2, 1)
-7-6-5-4-3-2
OY
X
The slope is
Answer:
The slope is [tex] -\frac{1}{2} [/tex]
Step-by-step explanation:
With points A(-2, 1), and B(-4, 2), slope (m) of the line can be calculated using the formula [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex],
Where,
[tex] y_2 = 2 [/tex]
[tex] y_1 = 1 [/tex]
[tex] x_2 = -4 [/tex]
[tex] x_1 = -2 [/tex]
Plug in the values into the slope formula:
[tex] m = \frac{2 - 1}{-4 -(-2)} [/tex]
[tex] m = \frac{2 - 1}{-4 + 2} [/tex]
[tex] m = \frac{1}{-2} [/tex]
[tex] m = -\frac{1}{2} [/tex]
hlol can u plz solve b no plz plz.....I will mark as brainliest
Answer:
Step-by-step explanation:
[tex]Tan \ B =\frac{4}{3} = \frac{opposite \ side \ of B}{adjacent \ side \ of B}[/tex]
BC = 15 cm
3x = 15
x = 15/3 = 5
AB =4x = 4*5 = 20 cm
Pythagorean theorem,
AC² = AB² + BC²
= 20² + 15 ²
= 400 + 225
= 625
AC = √625 = 25 cm
AC = 25 cm
[tex]Sin \ A = \frac{opposite \ side \ of \ angle A }{hypotenuse}\\\\ = \frac{BC}{AB}=\frac{15}{25}=\frac{3}{5}[/tex]
given a right-angled triangle with area 30 square centimeters and one of the legs of the right-angled triangle has 5cm, of the sum of the altitudes of the triangle can be expressed as a/b where gcd(a,b)=1. find a+b.geometry
Answer:
See explanation
Step-by-step explanation:
If A = 30 = 1/2ab = 1/2(5)(b)
60 = 5b
b = 12
a/b = 5/12
a + b = 5 + 12 = 17
Answer:
See explanation
Step-by-step explanation:
If A = 30 = 1/2ab = 1/2(5)(b)
60 = 5b
b = 12
a/b = 5/12
a + b = 5 + 12 = 17