Answer:
FACTORING THE NUMBERS :-
well u didnt say to prime factors so i am writing all factors
1) 48 => 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48 ( all are plus and minus )
2) 36 => 1, 2, 3, 4, 6, 9, 12, 18 and 36 ( all are plus and minus )
3) 28 => 1, 2, 4, 7, 14 and 28 ( all are plus and minus )
4) 100 => 1, 2, 4, 5, 10, 20, 25, 50, and 100 ( all are plus and minus )
5) 125 => 1, 5, 25, 125 ( all are plus and minus )
is it worth brainliest...
yes ofc
a store sign reads "Take 75% of the original price when you take an additional 15% off the sale price, which is 60% off the original price." Is the stores sign accurate?
Answer:
The new price is 66% off the original not 75% off
Step-by-step explanation:
Let x be the original price
First take 60 percent off
x - x*60% = new price
x- .60x = .40x
The new price is .40x
Then take 15 % off
(.40x) - (.40x)*15%
.40x - .40x*.15
.40x - .06x
.34x
100 -.34 =.66
The new price is 66% off the original not 75% off
which function defins (g-f) (x)
Answer:
(g÷f) (x) (1.8) ³x²+⁷x+2
Step-by-step explanation:
Im glad to help you
How many hours in 20 days
Step-by-step explanation:
1 day = 24 hrs
so, 20 days = 20 × 24 = 480 hours
mark me as brainliest
Answer:
480 hours
Step-by-step explanation:
How many different 4 card hands can be drawn from a set of 30 cards
Answer:
[tex]27,\!405[/tex] if:
The cards are drawn without replacement, All cards in this set are distinct from one another, andThe ordering of the four chosen cards does not matter.Step-by-step explanation:
[tex]\displaystyle \genfrac{(}{)}{0}{}{30}{4} = \frac{30 \times 29 \times 28 \times 27}{4 \times 3 \times 2 \times 1} = 27,\!405[/tex].
Assume for now that the ordering of the four cards does matter. Hands like [tex]\verb!A!\, \verb!B!\, \verb!C!\, \verb!D![/tex] and [tex]\verb!A!\, \verb!B!\, \verb!D!\, \verb!C![/tex] would then be considered different from one another.
There would [tex]30[/tex] choices for the first card. Since the first card was not returned to the pile, there would be only [tex]29[/tex] choices for the second card. Likewise, there would be [tex]28[/tex] choices for the third card and [tex]27[/tex] for the fourth.
By this reasoning, there would be [tex]30 \times 29 \times 28 \times 27 = 657,\!720[/tex] different ways to draw a hand of four cards from this set when the ordering of these four cards do matter.
However, in many card games, once a hand of cards is drawn, the ordering of cards within that hand does not matter. In other words, hands like [tex]\verb!A!\, \verb!B!\, \verb!C!\, \verb!D![/tex] and [tex]\verb!A!\, \verb!B!\, \verb!D!\, \verb!C![/tex] would not be considered as distinct from one another.
In that case, the [tex]30 \times 29 \times 28 \times 27 = 657,\!720[/tex] ways of drawing cards would include a large number of duplicates.
There are be [tex]4 \times 3 \times 2 \times 1 = 24[/tex] ways to arrange a hand of four cards when the order matter. Hence, when the ordering within a hand no longer matters, each hand of four cards would have been counted [tex]24[/tex] times among those [tex]30 \times 29 \times 28 \times 27 = 657,\!720[/tex] ways.
Therefore, when the ordering of cards within a set does not matter, [tex]\displaystyle \frac{30 \times 29 \times 28 \times 27}{4 \times 3 \times 2 \times 1} = 27,\!405[/tex] would give the number of distinct ways to draw a hand of four out of this set of thirty distinct cards.
Aaron uses 18% of the paper in a printer paper package when she print a report for social studies class this is 90 sheets of paper how many sheets of paper are there in the printer paper in a package?
Answer:
percentage of paper used= 18%
Number of papers printed= 90
Total number of papers in the paper package= 'y'
total number of papers
= [tex]\frac{18}{100}[/tex] × y =90
transpose to the other side,
y= 90 ×[tex]\frac{100}{18}[/tex]
y=10 x100
y=1000
hence total number of papers in the package is 1000
Hope this helps
Please mark me as brainliest
f(x) = 3x + 2
What is f(5)?
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
Plug in:
3(5) + 2
15 + 2 = 17
Hope this helped.
A family are going away for the weekend. They look at a road map to see where their hotel is.
The scale used is 1:250,000
The distance to their hotel measures 8.5 cm on the map.
What is the actual distance?
km
Answer:
106.25km
Step-by-step explanation:
8.5cm = 0.000085km
map:real life
1:1250000
0.000085km : 0.000085km * 1250000 = 106.25km
describe the effect of the transformation (x,y) --> (x,y+4)
First correct gets brainliest!
A) Vertical stretch without reflection
B) Vertical stretch with reflection
C) Horizontal translation of 4 units
D) Vertical translation of 4 units
Answer:
D. Vertical translation of 4 units.
Step-by-step explanation:
This transformation keeps x the same but shifts y up 4 units (adding 4 to it). This is a vertical shift up 4, which we can also call a vertical "translation."
5-_=4 pls help.......
Answer:
5 - ? = 4
5- 1 = 4
use simple method ..➪5 - 4 = ?
➪1 = 5-4
➪ 5- 1 = 4
hopes its helps you ..
4. Lynn can walk two miles intenta
24 minutes. At this rate, how long will
it take her to walk 6 miles?
To draw a graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of ___, a second point by going over 3 and up ___, and then draw a line through the points
For drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
For this case, the equation given to us is:
[tex]y = \dfrac{3}{4}x + 7[/tex]
Any equation of the form [tex]y = mx + c[/tex] where m and c are constants and x and y are variables is the equation of a straight line.
For a straight line to be characterized, only two points are sufficient.
For x = 0, the y-coordinate would be such that it would satisfy the equation [tex]y = \dfrac{3}{4}x + 7[/tex]
Putting x = 0, we get:
[tex]y = \dfrac{3}{4} \times 0 + 7 = 7[/tex]
Thus, y-coordinate of the point on this line whose x-coordinate is 0 is 7. Thus, (0,7) is one of the point's coordinate on the considered line.
Putting x = 3, we get:
[tex]y = \dfrac{3}{4} \times 3 + 7 = 9.25[/tex]
Thus, y-coordinate of the point on this line whose x-coordinate is 0 is 9.25 . Thus, (0,9.25) is another of the point's coordinate on the considered line.
Thus, for drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.
Learn more about points lying on graph of a function here:
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What is the height of a room which is 8m long, 6m wide and contains 144 meters cube of air?
Find the length of side
x to the nearest tenth.
1. If A = {1, 2, 3,4}, B = {3,4,5,6}, C = {1, 2, 4, 6, 7}, then find i) AUB ii) BUC iii) (AUB)UC v) An(BNC) vi) AU(BUC) iv) AN(BUC)
Answer:
i) AUB={1,2,3,4,5,6}
ii) BUC={1,2,3,4,5,6,7}
iii)(AUB)UC={1,2,3,4,5,6,7}
iv) {1,2,3,4}
v) {4}
vi){1,2,3,4,5,6,7}
Step-by-step explanation
AUB means all the elements belongs to a and b
AnB means elements common to both sets
look at the image for the question
Answer:
117.8
Step-by-step explanation:
surface area = πr²+πrl, where r = radius and l = slant height
so,
πr²+πrl
= π×3²+π×3×9.5
= 75π/2
= 117.8 (rounded to the nearest tenth)
Complete the table using the equation w = m + 4
Answer:
5+4 = 9
6+4 = 10
7+4 =11
Step-by-step explanation:
Answer:
(5,9)
(6,10)
(7,11)
Step-by-step explanation:
w = m + 4
when m = 5,
w = 5 + 4 = 9
when m = 6
w = 6 + 4 = 10
when m = 7
w = 7 + 4 = 11
The sum of two consecutive even integers is 54. What are the two integers?
Answer:
26 and 2
Step-by-step explanation:
Given,
Sum of two even numbers = 54
let one number be x
another number be x +2
x + x +2 = 54
2x + 2 = 54
2x = 54 - 2
2x = 52
x = 52/2
x = 26
Therefore, the numbers are 26 and 26 + 2 = 28..
Please help!! 25 points!!
9514 1404 393
Answer:
(a) a^4/(4b^2)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
__
Your expression simplifies as follows.
[tex]\dfrac{3a^2b^{-4}}{12a^{-2}b^{-2}}=\dfrac{3}{12}\cdot\dfrac{a^{2-(-2)}}{b^{-2-(-4)}}=\boxed{\dfrac{a^4}{4b^2}}[/tex]
For each of the following equations, determine whether y is a function of x.
x= -7y^2
b. x = 1/4y
c. y^2 = 4x +9
d. y= 5x +8
9514 1404 393
Answer:
a) not a function
b) is a function
c) not a function
d) is a function
Step-by-step explanation:
If the graph passes the "vertical line test," then the relation is a function.
Choices B and D are linear equations. Their graph is a straight line, so each x-value corresponds to exactly one y-value. (Every non-vertical line passes the vertical line test.)
Choices A and C are equations of parabolas that open horizontally. It is easy to draw a vertical line that intersects the graph twice, so these relations fail the vertical line test.
__
B, D -- functions
A, C -- not functions
At a retail store they needed to do surveys of 32 stores which equals 40% of all their stores.How many stores does the owner have in total?
Answer:
=32÷40%
=32÷0.4
=80
the owner have total 80 stores
Step-by-step explanation:
th
Answer:
80.
Step-by-step explanation:
40 % = 32 stores, so:
10% = 32/4 = 8 stores, and
100% = 8*10 = 80 stores.
What is the length of AD
A.17
B.15
C.7
D.1
Answer:
15 units
Step-by-step explanation:
Point D is at 8
Point A is at -7
D - A
8 - -7
8+7
15 units
Answer:
the answer is 15
you can just count the number of steps going forward from -7 to 8.
Where r is the radius of the cylinder and h is the height of the cylinder.
Find the surface area when r is 7 inches and h is 9 inches.
Sa of cylinder= 2(pi)rh + 2(pi)r squared
Answer:
703.7 in²
Step-by-step explanation:
SA = 2πrh+2πr²
= 2×π×7×9+2×π×7²
= 224π
= 703.7 in² (rounded to the nearest tenth)
Answer:
224π
in²
Step-by-step explanation:
A triangular lamina has vertices (0, 0), (0, 1) and (c, 0) for some positive constant c. Assuming constant mass density, show that the y-coordinate of the center of mass of the lamina is independent of the constant c.
The equation of the line through (0, 1) and (c, 0) is
y - 0 = (0 - 1)/(c - 0) (x - c) ==> y = 1 - x/c
Let L denote the given lamina,
L = {(x, y) : 0 ≤ x ≤ c and 0 ≤ y ≤ 1 - x/c}
Then the center of mass of L is the point [tex](\bar x,\bar y)[/tex] with coordinates given by
[tex]\bar x = \dfrac{M_x}m \text{ and } \bar y = \dfrac{M_y}m[/tex]
where [tex]M_x[/tex] is the first moment of L about the x-axis, [tex]M_y[/tex] is the first moment about the y-axis, and m is the mass of L. We only care about the y-coordinate, of course.
Let ρ be the mass density of L. Then L has a mass of
[tex]\displaystyle m = \iint_L \rho \,\mathrm dA = \rho\int_0^c\int_0^{1-\frac xc}\mathrm dy\,\mathrm dx = \frac{\rho c}2[/tex]
Now we compute the first moment about the y-axis:
[tex]\displaystyle M_y = \iint_L x\rho\,\mathrm dA = \rho \int_0^c\int_0^{1-\frac xc}x\,\mathrm dy\,\mathrm dx = \frac{\rho c^2}6[/tex]
Then
[tex]\bar y = \dfrac{M_y}m = \dfrac{\dfrac{\rho c^2}6}{\dfrac{\rho c}2} = \dfrac c3[/tex]
but this clearly isn't independent of c ...
Maybe the x-coordinate was intended? Because we would have had
[tex]\displaystyle M_x = \iint_L y\rho\,\mathrm dA = \rho \int_0^c\int_0^{1-\frac xc}y\,\mathrm dy\,\mathrm dx = \frac{\rho c}6[/tex]
and we get
[tex]\bar x = \dfrac{M_x}m = \dfrac{\dfrac{\rho c}6}{\dfrac{\rho c}2} = \dfrac13[/tex]
The center of mass for a uniform triangular shape is on its centroid. The y-coordinate of the center of mass of the lamina is 1/3 (independent of c).
What is the center of mass for a triangular shape?If the surface is plane triangle approximately and mass is uniformally distributed, then its center of mass will lie on the centroid of that triangle.
What is centroid of a triangle and its coordinates?The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).
If the triangle has its vertices as [tex](x_1, y_1), (x_2, y_2) , \: (x_3, y_3)[/tex], then the coordinates of the centroid of that triangle is given by:
[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)[/tex]
For this case, the triangular lamina has vertices (0, 0), (0, 1) and (c, 0)
Assuming its mass is spread regularly, the coordinates of its center of mass would be:
[tex](x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)\\\\(x,y) = \left( \dfrac{0+0+c}{3} + \dfrac{0+1+0}{3} \right) = (c/3, 1/3)[/tex]
Thus, the y-coordinate of the center of mass of the lamina is 1/3 (independent of c).
Learn more about centroid here:
https://brainly.com/question/7358842
Consider the value of t such that 0.01 of the area under the curve is to the right of t. Assuming the degrees of freedom equals 27, determine the t value. Round your answer to three decimal places.
The t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).
To determine the t-value such that 0.01 of the area under the curve is to the right of it, we need to use a t-distribution table or a statistical software.
The t-distribution is characterized by its degrees of freedom, which in this case is given as 27.
To find the t-value corresponding to an upper tail probability of 0.01, we need to locate the critical value in the t-distribution table.
Since we're looking for the right tail, we want to find the t-value that corresponds to a cumulative probability of 1 - 0.01 = 0.99.
Let's denote this critical value as t(critical).
Using the t-distribution table or a statistical software, we find that the t-value for a cumulative probability of 0.99 with 27 degrees of freedom is approximately 2.797.
Therefore, the t-value that satisfies the condition is t = 2.797 (rounded to three decimal places).
Learn more about t-distribution click;
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4. Two unbiased coins are tossed. Calculate the probability that
(a) Two heads are obtained.
(b) One head and one tail is obtained.
A pizza parlor has a choice of 10 toppings for its pizzas. From these 10 toppings, how many different 7-topping pizzas are possible?
Answer:
120
Step-by-step explanation:
There are 10 possible toppings to choose from, you choose 7.
Using combinatorics, it's 10!/(7! 3!), or 120.
The formula is (total amount to choose from )! divided by (amount you choose)!(amount you don't choose)!
Or search up combination formula
A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
The formula for combination.
= [tex]^nC_r[/tex]
= n! / r! (n -r)!
The number of possible 7-toppings for the pizza is 120.
What is a combination?A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The total number of toppings = 10.
n = 10
The number of required toppings = 7.
r = 7
The formula for combination.
= [tex]^nC_r[/tex]
= n! / r! (n -r)!
The possible number of possible 7-toppings pizzas.
= [tex]^{10}C_7[/tex]
= (10 x 9 x 8) / (3 x 2)
= 120
Thus,
n = 10 and r = 7
[tex]^{10}C_7[/tex] = 120
The number of possible 7-toppings for the pizza is 120.
Learn more about combination here:
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Please help quicklyyy!!!
Answer:
Its the 3 one
Step-by-step explanation:
An MP3 player costs $220, and sales tax is 73%. What will the total price be,
with tax?
Answer:
221.61
Step-by-step explanation:
First we need to put 73% into decimal form.
73%= 0.73.
0.73 * 220= 160.6
Sales tax is 0.161.
After rounding its $1 and 61 cents.
220 + 1.61 = 221.61.
Hope that helped.
If 3, 9, 10, x are in proportion find the value of x.
Answer:
[tex]x = 30[/tex]
Step-by-step explanation:
If 3, 9, 10, x are in proportion. Then,
[tex]x \times 3 = 10 \times 9[/tex]
[tex]x \times 3 = 90[/tex]
[tex]x = \frac{90}{3} [/tex][tex]x = 30[/tex]
Hope it is helpful.....Step-by-step explanation:
Given that 3, 9, 10, x are in proportion <br> product of exterms = Product of means <br>
<br>
3x=9×10
X=(9x10)/3
X=90/3
X=30
3. In a survey of a community, 55% of the people like to listen to the radio,65% like to watch the television and 35% like to listen to the radio as well as to watch television. (i) Show the above information in a Venn-diagram. (ii) Find the percentage of the people who do not like to listen to the radio as well as to watch televisions
Answer:
Here is the answer
I hope it xa helping u
