Answer:
[tex]=-2y^2-y+15[/tex]
Step-by-step explanation:
[tex]\left(-2y+5\right)\left(y+3\right)\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\a=-2y,\:b=5,\:c=y,\:d=3\\=\left(-2y\right)y+\left(-2y\right)\cdot \:3+5y+5\cdot \:3\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-2yy-2\cdot \:3y+5y+5\cdot \:3\\\mathrm{Simplify}\:-2yy-2\cdot \:3y+5y+5\cdot \:3:\quad -2y^2-y+15\\-2yy-2\cdot \:3y+5y+5\cdot \:3[/tex]
[tex]2yy=2y^2\\2yy\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\yy=\:y^{1+1}\\=2y^{1+1}\\\mathrm{Add\:the\:numbers:}\:1+1=2\\=2y^2\\2\cdot \:3y=6y\\2\cdot \:3y\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:3=6\\=6y[/tex]
[tex]5\cdot \:3=15\\5\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3=15\\=15\\=-2y^2-6y+5y+15\\\mathrm{Add\:similar\:elements:}\:-6y+5y=-y\\=-2y^2-y+15[/tex]
An accountant used to charge $30 per hour, but recently decided to charge 20% less. Now how much does she charge per hour?
$24
Step-by-step explanation:
Answer: 24
Step-by-step explanation: First you have to find out what 20% of 30 is. Then you subtract that 20%(6) from thirty giving you the answer of 24
What is the length of a leg of an isosceles right triangle whose hypotenuse measures 6 inches?
A right triangle is shown. The hypotenuse has a length of 6. The lengths of the other 2 sides are a.
Let c represent the value of the hypotenuse. If the hypotenuse is c = aStartRoot 2 EndRoot, then 6 = aStartRoot 2 EndRoot. In inches, what is the value of a?
3
3 StartRoot 2 EndRoot
6
3 StartRoot 2 EndRoot
Answer:
B
Step-by-step explanation:
took assignment
The measure of equal sides of an isosceles right triangle is 3√2.
Given that, the isosceles right triangle whose hypotenuse has a length of 6 inches. The lengths of the other 2 sides are a inches.
By using Pythagoras theorem, we get
6²=a²+a²
2a²=6²
2a²=36
a²=18
a=±√18
a=±3√2
Therefore, the measure of equal sides of an isosceles right triangle is 3√2.
To learn more about the Pythagoras theorem visit:
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write a rule for the nth term of the sequence for which a3=27 and r=3
Answer:
These two things should help you with your question.
Step-by-step explanation:
How To Find The nth Term Of A Geometric Sequence
Written by Hazmo in Geometric Sequence
The nth term is one of the most important element of geometric sequence.
It’s usually used to find out specific values within the geometric sequences.
We calculate the nth term by first finding the common ratio ‘r’ by dividing any two consecutive terms of the sequence.
And then we substitute ‘a‘ with the first term of the sequence and ‘n’ with the term number to get the final answer of the nth term.
The general formula to find the nth term is:
an=a1r(n–1)
Understanding the nth term of a geometric sequence gets easier if we know the meaning of this term and variables used.
Therefore, let’s first find what the nth term is and then move on to the details of it’s evaluation with different examples.
The rule that is generated is 3, 9, 27, ........ an.
What is geometric progression ?"Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern."
Given,
a3 = 27
and r = 3
Formula for nth term is given by
[tex]a_{n} = a_{1}r^{n-1}[/tex]
so, we have
[tex]27 = a1.3^2[/tex]
so a1 = 3
Hence, the series becomes 3, 9, 27, ........an
To know more about geometric progression here
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What is the value of m
Answer:
The value of m has to be found within an equation or it has a given value alreadu.
Step-by-step explanation:
The equation of a circle is given below: (x - 0.5) + (y - 3.5)=16 what is it’s center and radius
Circle equation: (x - h) + (x - k) = r²
(h, k) = center
r = radius
The center (0.5, 3.5)
To find the radius, take the square root of 16.
√16 = 4
The radius is 4.
Best of Luck!
in a 400 page manuscript, there are 200 randomly distributed misprints if a page is selected, find the probability that it has 1 misprint
please show work
Answer:
½
Step-by-step explanation:
The probabliliry of picking a misprint is gotten by dividing the number of misprints by the total number of pages in the manuscript.
There are 200 randomly placed misprints in the 400 page manuscript.
Therefore, the probability of picking a misprint is:
200 / 400 = ½
AABC is a right triangle. If AC = 12 and BC =
13, find AB.
5
25
2
18
Answer:
The answer is AB=5.
In Albany, NY, the morning temperature was -20 degrees Fahrenheit. The
high temperature for that day was 2 degrees Fahrenheit. What was the
difference between the high and low for that day?
A: -22
B: 22
C: -18
D:18
Answer:
-18
Step-by-step explanation:
-20 - 2/ -20 + 2 = -18
Answer:
Step-by-step explanation:
-18
I need help now please .
write a sentence to compare the two points shown on the number line
-2.7 and 4.5
Mrs rodriguez needs you to calculate the AREA of a circular pool with radius of 5 meters to help her figure out if it will fit in her backyard
PLEASE HELP
What is distributive property of 7(5b +8)
Answer:
35b+56
Step-by-step explanation:
First, split the equation.
To do this, take 5b and 8, and make each of those their own little parentheses. Those would both be multiplied by 7.
7(5b) + 7(8)
Multiply out.
35b + 56
Estimating Volume Of a couple of shapes. Please answer correctly! I will give brainliest.
Answer:
Part A
C
D
F
Part B
4.8
Step-by-step explanation
What is the value of y?
A. 630
B. 126°
C. 73°
D. 54°
Answer:
y = 63
Step-by-step explanation:
The sum of the angles of a triangle is 180
54+y+y = 180
Combine like terms
2y+54 = 180
Subtract 54 from each side
2y+54-54= 180-54
2y =126
Divide each side by 2
2y/2 = 126/2
y =63
Answer:
A. 63 degrees
Step-by-step explanation:
All angles added together would equal 180. We have two angles that equal y and a third that has 54. Our first step:
180-54=126
Both of the y angles equal 126. We want a separate value though, so we divide this by two.
126/2=63
Thus, A is our answer
The lengths of a certain species of fish are approximately normally distributed with a given mean jl and standard deviation o.
According to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation of the mean?
34%
Answer:
ILKE HALF
Step-by-step explanation:
A particular type of cell increases by 75% in number every hour. Find the number of cells present at the end of 12 hours if there are initially 4 of these cells?
We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.
We will use exponential growth formula to solve our given problem.
[tex]y=a\cdot (1+r)^x[/tex], where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
[tex]75\%=\frac{75}{100}=0.75[/tex]
Upon substituting initial value [tex]a=4[/tex] and [tex]x=12[/tex] in above formula, we will get:
[tex]y=4\cdot (1+0.75)^{12}[/tex]
[tex]y=4\cdot (1.75)^{12}[/tex]
[tex]y=4\cdot 825.0050068497657776[/tex]
[tex]y=3300.020027[/tex]
[tex]y\approx 3300[/tex]
Therefore, there will be approximately 3300 cells at the end of 12 hours.
Select the grid that represents the ratio 3/5. Then find a percent equivalent to the given ratio. We
Answer:
60%
Step-by-step explanation:
I'm not sure about the grid (as you didn't attach any images), but I can help with the percentage part. To convert a fraction into a percentage, all you have to do is multiply the fraction by 100. When we do this, we get 3/5*100 = 60%.
Another way to think about it is to rewrite 3/5 so that it's denominaor is 100. We can mutiply the fraction by 20/20 which gives us 60/100. Note that this doesn't change the original fraction because 20/20 is equal to 1. Then, you simply take the numerator as the percentage. In this case, the numerator is 60, so the percentage will be 60%.
Hope this helps!
The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. Let statement and algebraic solution please. Thanks!
Answer:
Step-by-step explanation:
the integers are x and x+2
x^2 + x^2 + 4x + 4 = 202
2x^2 + 4x -198 = 0
x^2 + 2x -99 = 0
x^2 + 11x -9x -99 = 0
x(x + 11) -9(x + 11) = 0
(x-9)(x+11) = 0
x = 9 or -11
x+ 2 = 11 or -9
9 or 11
-9 or -11
A particle traveled the distance of 6.6×[tex]10^{-19}[/tex] meters a a rate of 3.3×[tex]10^{-34}[/tex]. If distance equals rate times time, how many seconds did it take the particle to travel the specified distance?
A. 5.0x[tex]10^{14}[/tex] seconds
B. 2.0x[tex]10^{15}[/tex] seconds
C. 2.0x[tex]10^{-53}[/tex] seconds
D. 5.0x[tex]10x^{-53}[/tex] seconds
Answer:
Distance (D) equals rate (R) times time (T): D = R x T
=> T = D/R = 6.6 x 10^-19/(3.3 x 10^-34) = 2 x 10^15 (m)
=> Option B is correct
Hope this helps!
:)
Tony wants to buy a ticket for $15.75. He has $9.25. At least how much money do you earn to buy the ticket?
Thank you!
Answer:
6.50
Step-by-step explanation:
15.75-9.25=6.5
Given angle 1 and angle 2 are supplements, angle 3 and angle 4 are supplements, angle 1 is congruent to angle 4. Prove Angle 2 is congruent angle 3
m<1 + m<2 = 180°
m<3 + m<4 = 180°
Because they are both equal to 180°, you can set them equal to each other.
m<1 + m<2 = m<3 + m<4
Angles 1 and 4 are congruent (equal), so we can subtract them from each side to get:
m<2 = m<3
Answer:
There. I couldn't find it so I just guessed till I got it right
What is the interquartile range of the data set (WILL MARK BRAINLIEST)
20,25,30,30,31,40,41,49
median=30.5
Q¹= 27.5
Q³=40.5
40.5-27.5= 13 IQR = 13
A.
F(x) = log(x + 3) + 1
B.
F(x) = log(x + 1) + 3
C.
F(x) = log(x + 1) - 3
D.
F(x) = log(x - 3) + 1
Answer:
B.
Step-by-step explanation:
I graphed it but you could also use the y intercept to determine which function matches the graph
log(x+1)+3
the +3 at the end of the function makes the y-intercept positive 3
please please solve this your finding x problem is easy i hope
Answer:
71
Step-by-step explanation:
its an isosceles triangle, as we can tell from the sides, that means that 2 angles are the same size as well. a triangle has 180 degrees.
180-38=142
142/2=71
check
71+71+38=180
that means x=71 degrees
hope this helps!!
Answer:
x = 71
Step-by-step explanation:
The triangle has 2 congruent sides and is isosceles.
Thus the 2 base angles are congruent, so
x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71
What is the arc length of arc ABC in red? You may use 3.14 to estimate an
answer or the letters pi
you got this I believe in you
Please help me !!!!! I’ll mark the brainliest
Answer:
Step-by-step explanation:
Answers:
1: Yes, a polynomial (I'm going from left to right top to bottom)
2: Yes, a polynomial
3. Yes, a polynomial
4. Yes, a polynomial
5. No, not a polynomial
6. No, not a polynomial
Sorry this took so long!
Find x round to the nearest tenth
Answer:
x = 17.9
Step-by-step explanation:
tan theta = opposite side/ adjacent
tan 40 = 15 /x
x = 15 / tan 40
x =17.87630389
To the nearest tenth
x = 17.9
The following represents a tetrahedron.
Which of the following nets could be folded on the edges to form a tetrahedron? Select all that apply.
Answer:
It's the second and third one!!
Step-by-step explanation:
Answer:
1 and 3
Step-by-step explanation:
A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?
Answer: There are 22.2 pounds of water in the bag.
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the total weight of the bag by the water percentage in decimal form (divided by 100).
Mathematically speaking:
30 x (74/100) = 30 x 0.74 =22.2 pounds
There are 22.2 pounds of water in the bag.
Feel free to ask for more if needed or if you did not understand something.
Answer:
22.2
Step-by-step explanation:
Which expression gives the distance between the points (1, -2) and (2, 4)?
Answer: D
Step-by-step explanation:
The expresion of distance is [tex]d=\sqrt{(x_1-x_2)^2 +(y_1 -y_2)^2}[/tex]