Assuming that you want the product of the two factors given in each problem:
⇒ we solve this problem by timing each unit of a factor to every unit
of the other factor
⇒then add each one of them who shares a common like-term
⇒to get the answer
Let's solve:
Question 9:[tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]
Question 12[tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]
Question 15[tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]
Question 18[tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]
Question 21:[tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]
Question 24:[tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]
Hope that helps!
PLS HELP
A bag that holds 9 oranges, 4 plums, and 7 apples. A fruit is drawn at random. What is the probability that it is NOT a plum.
Answer:
80%
Step-by-step explanation:
9 + 4 + 7 = 20
1 out of 20 = 5%
4 plums = 20%
Answer:
4/5 or 80%
Step-by-step explanation:
So u add up all the fruits which is 20. And then then u make a fraction which is all fruits but not plums over all fruits. So it is 16/20. The 16 came from not having the plums bc there are 4 plums and 20 - 4 = 16. Simplified of 16/20 is 4/5 or %80.
what interest rate do you need for an $5000 investment compounded annually to double in 10 years?
Answer:
The investment rate that you need for a 5000$ invest compounded annually to double in 10 years is 55,000
Step-by-step explanation:
Solve the system of equations below: 4x + 6y = 32 and 3x - 6y = 3
Pls show work will give brainliest :)
Answer:
x=5 y=2
Step-by-step explanation:
3x-6y=3
3x=3+6y
x=1+2y
Substitute x for 4x+6y=32
4+8y+6y=32
4+14y=32
14y=28
y=2
3x-12=3
3x=15
x=5
The radius of a circle is 8 centimeters. What is the circle's area?
a) plot the graph of y= 5 and 2x + y = 8
b) wirte down the coordinates of the point where they cross
explain the steps pls?
The graph is shown below. Then the linear system crosses each other at (1.5, 5).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
y = 5 ...1
2x + y = 8 ...2
The graph is shown below.
By equations 1 and 2. Then we have
2x + 5 = 8
2x = 3
x = 1.5
Then the lines cross each other at (1.5, 5).
More about the linear system link is given below.
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Solve for x. Round to the nearest tenth, if necessary.
Answer:
[tex]x = 0.2[/tex]
Step-by-step explanation:
In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.
[tex]recall: \: cosine = \frac{a}{h} \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41[/tex]
Therefore:
[tex] \cos(41) = \frac{x}{0.3} \\ \\ 0.75 = \frac{x}{0.3} \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x[/tex]
Since we were asked to round it to the nearest tenth, then the answer would be 0.2.
Answer:
x = 0.2
Step-by-step explanation:
Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3
To find value of x:
Solution: In angle DEF, angle E = 90°.
[tex] cos \: 41° = \frac{adjacent \: side}{hypotenuse} = \frac{DE}{DF} [/tex]
[tex]cos \: 41° \: = \frac{x}{0.3} [/tex]
x = 0.3 × cos 41° = 0.226 ≈ 0.2
Hence x = 0.2
HOPE THIS HELPS AND HAVE A NICE DAY <3
A ball is thrown upward from a height of 15 ft with an initial velocity of 5 ft/s. Use the equation h=-16t^2+5t+15 to answer the following questions. Round to the nearest tenth.
How long will it take for the ball to hit the ground (h=0)?
What is the height of the ball after 0.5 seconds?
Answer:
1) 1.1 seconds
2) 13.5 feet
Part A[tex]\rightarrow \sf -16t^2 + 5t + 15 = 0[/tex]
Apply quadratic formula:
[tex]\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}[/tex]
Simplify following
[tex]\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}[/tex]
In decimal form:
[tex]\rightarrow \sf t=-0.825 ,\:t=1.137[/tex]
Conclusion:
As time is be only positive: t = 1.1 seconds
Part B
[tex]\rightarrow \sf h=-16t^2 + 5t + 15[/tex]
insert t = 0.5
[tex]\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15[/tex]
simplify
[tex]\rightarrow \sf h=13.5[/tex]
A circle is centered at (−4, 9) and has a radius of 11.
What is the equation of the circle?
Answer:
(x +4)² +(y -9)² = 121
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...
(x -(-4))² +(y -9)² = 11²
We can simplify this a bit to ...
(x +4)² +(y -9)² = 121
Which summation formula represents the series below?
1 + 2 + 6 + 24
Answer:
First one is the answer of the question u asked
Answer:
Option a: ∑⁵(n−1)! is the correct answer.
n=²
Step-by-step explanation:
Option a: ∑n=25(n−1)
By substituting the values of n and expanding the summation, we have,
(2−1)!+(3−1)!+(4−1)!+(5−1)!
Subtracting, we have,
1!+2!+3!+4!
Expanding the factorial,
1+(2∗1)+(3∗2∗1)+(4∗3∗2∗1)
Simplifying, we get,
1+2+6+24
Thus, the summation ∑⁵ (n−1)! represents the
n=2
series 1+2+6+24
Hence, Option a is the correct answer.
help i dont know the answer like seriously omg omg
The gcf is 6
so: 42+12= 6(7+2)
Answer:
see explanation
Step-by-step explanation:
the factors of 42 are 1, 2, 3, 6, 7, 14 , 21, 42
the factors of 12 are 1, 2, 3, 4, 6, 12
common factors are 1, 2, 3, 6
GCF = 12
then
42 + 12 ← factor out 6 from each term
= 6(7 + 2)
Jordan fills several bags of oranges . This line plot shows the wait of each bag.
How many more pounds does one of the heaviest bags weigh more than one of the lightest bags.
Enter your answer as a fraction in simplest form by filling the boxes.
Answer: 1 1/8 or 9/8
Step-by-step explanation:
5 1/2-4 3/8= 1/ 1/8
need help on this geometry problem
What is the value of the expression 30-(-6)?
0 -180
O -5
O 5
O 24
Answer:
36? its not on there but that is it.
A town with a population of 5,000 people grows 3% per year. How long will it take for the population to reach 8,000?
answer is: Notice that if the population doubles every 12 years, it quadruples (4 times) in 24, multiplies by 8 in 36, and multiplies by 16 in 48 years.
fill in the table using funtion rule y=3+3x
Answer:
1. -3*-4+3= 15Y=152.-3*-2+3=9Y=93. -3*0+3=3Y=34. -3*2+3= -3Y= -3
by-step explanation:
use technology to find the solution to the system: 8x - 4y = -24 4x - 12y = -32
The solution to the system of equation 8x -4y = -24, 4x - 12y = -32 is x = 19 / 8 and y = 5 / 4
How to find solution to the system of equation?The solution of the system of equation can be found as follows:
8x -4y = -24
4x - 12y = -32
Multiply equation(ii) by 2
8x - 4y = -24
8x - 36y = -64
32y = 40
y = 40 / 32 = 5 / 4
8x - 4(5 / 4) = -24
8x - 5 = -24
8x = -24 + 5
8x = 19
x = 19 / 8
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What is the mean absolute deviation of 3 3 1 9 3 1 8
Answer:
2.57 or rounded to 1 sig digit just 3
Select all the right triangles, given the length of the sides
Answer:
B, E
Step-by-step explanation:
Needs a 3:4:5 ratio, or, if it is an isosceles triangle, then n:n:nsqrt(3)
which transformation would take figure a to figure b
Find the value of X
Answer:
x = 14
Step-by-step explanation:
By tangent secant theorem[tex] x^2 = 7(7+21)[/tex][tex]\implies x^2 = 7(28)[/tex][tex]\implies x ^2=196[/tex][tex]\implies x=\pm\sqrt{196}[/tex][tex]\implies x=\pm 14[/tex]x can not be negative[tex]\implies x=14[/tex]what is the least common denominator in 6/x = 4/x-8 + 1
a) x-8
b) x^2-8
c) 8x
d) x(x-8)
Answer:
d) x(x-8)
Step-by-step explanation:
Both of the denominators in the problem have to be in the common denominator. It needs the x because of the 6/x and it also needs to have x-8 because of the right side of the equation.
Answer:
d x(x - 8).
Step-by-step explanation:
That would be x * (x - 8)
Match the attributes to each three-dimensional shape that has the cross-section described.
Only consider cross-sections with whole number dimensions parallel to a side of one of the prisms or the base of the pyramid.
Quadrilateral A:
area of
16 square inches
Quadrilateral B:
perimeter of
24 inches
Quadrilateral C:
perimeter of
16 inches
The attributes to each three-dimensional shape that has the cross-section is 4,16 and 4.
What is a quadrilateral and parallelogram?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given;
Quadrilateral A: area of 16 square inches
Quadrilateral B: perimeter of 24 inches
Quadrilateral C: perimeter of 16 inches
Now,
Quadrilateral A:
a^2=16
a=4
Quadrilateral B;
4a=24
a=6
Quadrilateral C:
4a=16
a=4
Therefore, the answers of quadrilaterals will be 4,6 and 4.
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What percent of 4c in each expression? *2a
The percentage of 4c that's the expression 0.04c will be is 1%.
How to calculate the percentage?From the complete information, we are told to calculate the percentage of 0.04c from 4c.
This will be calculated thus:
= 0.04c/4c × 100
= 0.01
= 1%
Therefore, the percentage is 1%.
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[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]
Answer:
14th term
Step-by-step explanation:
12÷10 = 1.2
14.4÷12 = 1.2
17.28÷14.4 = 1.2
Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’
We call it (Vn)
The general term of the sequence:
Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹
To determine the term at which the sequence exceeds 100 we have to solve the equation:
Vn ≥ 100
⇔ 10×(1.2)ⁿ⁻¹ ≥ 100
⇔ (1.2)ⁿ⁻¹ ≥ 100/10
⇔ (1.2)ⁿ⁻¹ ≥ 10
⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)
⇔ (n-1)×ln(1.2) ≥ ln(10)
[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]
[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]
Verification:
[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]
Use the GCF and the distributive property to write 18 + 45 as a product.
Answer:
(6x9) + (9x1)
Step-by-step explanation:
please help me with my math problem
Answer:
A
Step-by-step explanation:
sin 32=29.2/x
x=29.2/sin 32
Answer:
[tex]A.\:\:x =\frac{29.2}{\sin (32)\degree}[/tex]
Step-by-step explanation:
[tex]\huge \sin 32\degree =\frac{29.2}{x}[/tex][tex]\huge\implies x =\frac{29.2}{\sin (32)\degree}[/tex]PLEASE HELP GIVING BRAINLIST!!! Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = 1/2 XY?
And XZ=1/2XY
XZ be x
XY=YZ=2xNow
x+2x+2x=1075x=107x=21.4unitsXZ=21.4units
Answer:
XZ = 21.4 units
Step-by-step explanation:
If ΔXYZ is an isosceles triangle then XY = ZY
(the dashes on the line segments indicate they are of equal measure)
If XZ = ¹/₂XY then
⇒ 2XZ = XY = ZY
If the perimeter is 107 units:
⇒ Perimeter of ΔXYZ = XY + ZY + XZ
⇒ 107 = 2XZ + 2XZ + XZ
⇒ 107 = 5XZ
⇒ XZ = 107 ÷ 5
⇒ XZ = 21.4 units
GIVE BRAINLY PLEASE HELP
Which figure correctly shows the line of symmetry
What is the range for the following set of measurements? 7.1 g, 9.8 g, 2.3 g, 8.5 g, 7.4 g, 5.7 g
Answer:
7.5
Step-by-step explanation:
you take the largest number (9.8) and subtract with the smallest number (2.3)
9.8-2.3= 7.5IF a universal set U = {x:x belongs to N , x less or equal to 10} , A ={y:y = 2n , n belongs to N , n less than 5} and B ={z:z = 3n , n belongs to N , n less than 4}
Answer:
your answer is N = {xxx: =9n