Answer:
a = 9
Step-by-step explanation:
In the product (y−3)(y2+3y+9), we can get the first degree term of y in two ways,
y*(9), or -3*(3y)...............value in parentheses are from the second factor
therefore a = 9
Answer:
a = 9
Step-by-step explanation:
Let's work on the product to answer the question:
[tex](y-3)\,(y^2+3y+9)= y^3+3y^2+9y-3y^2-9y-27[/tex]
therefore the value of the requested "a" is 9
100,000 people are currently sick with disease. If that disease spreads at rate of 50% per week, how many weeks will it be until 1,000,000 people are infected?
Answer:
If you mean it speads at the amount of 100,000 it would be only 10 weeks before 1,000,000 people are effected
or If you mean 50% percent of 100,000 which is 50,000 it would take a total of 20 weeks before 1,000,000 people are infected
Hope this answered your question.
please help- my final is timed! xx Identify the graph of the triangle with vertices P(1,4), Q(1,1), R(3,1). Then identify the image that represents ΔPQR rotated 90° counterclockwise around vertex Q and the resulting image reflected across the x-axis.
Answer:
Since it is a negative degree it’s a counter clockwise meaning the fourth picture or D with the vertexs being p’(-2,-1),q’(1,-1),r’(1,-3)
Step-by-step explanation:
HELP PLZZ!! Joe performed an experiment with a spinner. He spun the spinner and recorded the results in the frequency table. The spinner and the frequency table are given below. Find the experimental probability of the spinner landing on yellow or orange.
Answer:
7/13
Step-by-step explanation:
add all outcomes: 8 + 6 + 5 + 7 = 26
landing yellow or orange: 8 + 6 = 14
14/26 simplified 7/13
The Experimental probability of the spinner landing on yellow or orange is 7/13.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
Yellow= 8
Orange = 6
Red= 5
Blue = 7
Total = 8+6+5+7= 26
So, the Experimental probability of the spinner landing on yellow or orange.
= 8/26 + 6/16
= 14/16
= 7/13
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help I need the answer
Answer:
18.9 ft²
Step-by-step explanation:
Surface area of this cylinder = area of the bottom and top circles + area of the curved surface.
Area of the two circles = 2πr² , where r is the radius.
Area of the curved surface = 2πrh , where r is the radius and h is the height.
Radius = [tex]\frac{1}{2}[/tex] × diameter
Area of the two circles = 2 × π × ([tex]\frac{2}{2}[/tex])² = 6.3 ft² (answer rounded up to nearest tenth)
Area of the curved surface = π × diameter × h = π × 2ft × 2ft = 12.6 ft² (answer rounded up to nearest tenth)
The surface area of the cylinder = 6.3 ft² + 12.6 ft² = 18.9 ft²
Answer:
18.85 to be exact
Step-by-step explanation:
pls mark brainliest
can someone help with number 1? i’ll give brainliest ;)
Answer:
Hey there!
She wants an 93, so we write the equation: [tex]\frac{87+96+98+90+92+x}{6}=93[/tex]
Multiply both sides by 6 to get: [tex]87+96+98+90+92+x=558\\[/tex]
Simplify: 463+x=558
Subtract 463 to get that x=95.
Thus, she must score a 95 to get a A as a final grade.
Hope this helps :)
Answer:
Sally must get 95% in her sixth test!
Step-by-step explanation:
To get an average of 93 over 6 tests, the total must be
6*93 = 558
Therefore the sixth test she must get
S = 6*93 - 87 -96 -98 -90 -92 = 95
The figure shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4. What set of transformations is performed on triangle ABC to form triangle A'B'C'? A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin
Answer:
A 180 degree counterclockwise rotation about the origin followed by a translation 5 units to the right
Step-by-step explanation:
Answer:
translation down 5, rotation 180°
Step-by-step explanation:
Triangle A"B"C" is formed using the translation (x + 2 y + 0) and the dilation by a scale factor of from the origin. Which equation explains the relationship between AB and A"B"?
Answer:
segment a double prime b double prime = segment ab over 2
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. which equation explains the relationship between segment ab and segment a double prime b double prime?
coordinate plane with triangle ABC at A (- 3, 3), B (1, - 3), and C (- 3, -3).
segment a double prime b double prime = segment ab over 2
segment ab = segment a double prime b double prime over 2
segment ab over segment a double prime b double prime = one half
segment a double prime b double prime over segment ab = 2
Answer: If triangle ABC at A (- 3, 3), B (1, - 3), and c (- 3, -3) is translated using (x + 2, y + 0), then the new coordinates of triangle ABC would be at A'(- 3 + 2, 3), B'(1 + 2, - 3), and C'(- 3 + 2, -3) Which is A'(- 1, 3), B'(3, - 3), and C'(- 1, -3). The dilation by a scale factor of from the origin gives A″ (-1/2, 3/2), B″ (3/2, -3/2) and C″(-1/2, -3/2) = (-0.5, 1.5), B″ (1.5, -1.5) and C″(-0.5, -1.5)
The distance AB and A"B" are given as:
[tex]AB=\sqrt{(1-(-3))^2+(-3-3)^2} =\sqrt{5 2} \\\\A"B"=\sqrt{(1.5-(-0.5))^2+(-1.5-1.5)^2} =\sqrt{13}[/tex]
AB = √52 = √(4×52) = 2√13 = 2A"B"
A"B" = AB/2
Answer:
What The Other Guy Said Was Correct
Step-by-step explanation:
2 + 2 = 4
PLEASE HELP!!!
Which graph represents the solutions to the inequality |2x - 6| < 10? (5 points)
Answer:
3
Step-by-step explanation:
To do this you would take absolute value so you get [tex]2x+6\leq 10[/tex] then you would subtract 6 from both sides so you get [tex]2x\leq 10[/tex] then you would divide 2 from both sides so you would get [tex]x\leq 2[/tex] so graph 3 would be the write answer
Here are the shopping times in minutes) of a sample of 19 shoppers at a local grocery store.
45, 22, 34, 30, 28, 27, 33, 35, 40, 26, 41, 29, 42, 44, 25, 46, 32, 38, 36
Draw the histogram for these data.
Frequency
Х
6
?
6-
5-
4
3
0
0
0
0
0
0-
22-26
37-41
42-46
27-31 32-36
Times (in minutes)
Answer:
22-26: frequency = 3
27-31: frequency = 4
32-36: frequency = 5
37-41: frequency = 3
42-46: frequency = 4
Which expression is equivalent to ....
Answer:
Its the first answer 24
Suppose that 24 inches of wire costs 72 cents. At the same rate, how much (in cents) will 38 inches of wire cost?
Answer:
114
Step-by-step explanation:
if,
24inches=72cents
38inches=?
we cross multiplication,
38times72=2736 divide with 24=114
The answer is114
Answer:
114............
Step-by-step explanation:
EARTH SCIENCE The order of magnitude of the mass of Earth's
atmosphere is 1018 kilograms. The order of magnitude of the mass of
Earth's oceans is 109 times greater. What is the order of magnitude of the
mass of Earth's oceans?
Answer:
1021
Step-by-step explanation:
1018×103=1018+3=1021
HALPP The number of sets of two or more consecutive positive integers whose sum is 100 is ~~~~~~~ (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer:
E.5
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
A store sells books for $12 each. In the proportional relationship between x, the number of books purchased, and y, the cost per books in dollars" to "y, the total cost of the books in dollars, the constant of proportionality is 12. Which equation shows the relationship between x and y?
Answer:
Y=12x
If Y represents the Cost and X represents the number of books purchased.
WORD FORM:
Cost equals 12 times as many books that are purchased.
Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?
Answer:
210.8
Step-by-step explanation:
Write an expression of 4 less than twice a number
Answer:
2x-4
Step-by-step explanation:
you can't really explain this, is just have the meaning 4 less twice a number.
I wish this is the correct one and will help you!
Answer:
2x-4
Step-by-step explanation:
(b) Graph the equation x – 2y = 3
Answer:
Hey there!
Look at the image below ↓
Hope this helps :)
The graph of the given equation x – 2y = 3 is attached below.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that the equation as;
x – 2y = 3
Therefore, it can be write as;
-2y = -x + 3
-y = -x/2 + 3
Here the slope is -1/2.
Hence, the graph of the given equation x – 2y = 3 is attached below.
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Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
O 81
09
3
Answer:
3
Step-by-step explanation:
(x - 2)^2 + (y - 4)^2 = 9
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x - 2)^2 + (y - 4)^2 = 3^2
The center is ( 2,4) and the radius is 3
Answer:
r = 3
Step-by-step explanation:
The stock equation for a circle of center (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Comparing this with the given (x - 2)^2 + (y - 4)^2 = 9, we see that r^2 must be 9 and therefore r = 3.
for a certain sequence of numbers the sum of the first n numbers in the sequence is given by n^3 + 4n for all positive integers n. what is the tenth number in the sequence
Answer:
1040
Step-by-step explanation:
10^3+4(10)=
1000+40=
1040
Tenth number in the sequence is 1040.
What is sequence?A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. Sequences often have specific ways they relate and can be analyzed using products and sums to identify and work with sequences.
Given
Sequence is [tex]n^{3} +4n[/tex] for all positive integers n.
Tenth number in the sequence:
n(10) = [tex]10^{3} +4(10)[/tex]
Tenth number = 1040
Hence, Tenth number in the sequence is 1040.
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Suppose the function ƒ(t) = et describes the growth of a colony of bacteria, where t is hours. Find the number of bacteria present at 5 hours. Question 11 options: A) 79.432 B) 8.155 C) 59.598 D) 148.413
Answer:
The number of bacteria present at 5 hours is 148.413
Step-by-step explanation:
Function: [tex]f(t)=e^t[/tex]
This function describes the growth of a colony of bacteria, where t is hours.
We are supposed to find the number of bacteria present at 5 hours.
So, Substitute t = 5
So, the number of bacteria present at 5 hours =[tex]e^5[/tex]
The number of bacteria present at 5 hours = 148.413
So, Option D is true
Hence the number of bacteria present at 5 hours is 148.413
Please help me with this question! I will give the brainliest to the one with the right answer!!!
Answer:
x =4
Step-by-step explanation:
hope this is the correct answer
Answer: B
Step-by-step explanation: B: 5^2-3^2 = 25-9 = 16. the square root of 16 is 4, so x=4
Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 4 x squared, M Subscript 2 Baseline. Second column entries are M Subscript 1 Baseline, negative 5. Which terms should Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x
Answer:
5x and -4x
Step-by-step explanation:
Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...
5x and -4x
Answer:
A. -5x and 4x
:)
Hope this helps!
Good luck yalls
HELP PLEASE I REALLY NEED THE HELP ON THIS.
for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!
for question 10, use a ruler to draw and label your own line segment.
on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’
for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.
If water flows 12 feet in 9 seconds through the turbine, how far will the water flow in 54 seconds? If the water continues to flow at this rate, how long will it take the water to travel 54 feet?
Answer:
40.5 sec
Step-by-step explanation:
The flow rate is (12 ft) / (9 sec), or 4/3 ft/ sec.
In 54 sec, the water will have moved
(4/3 ft/sec)(54 sec) = 72 ft.
If the flow rate is 4/3 ft/sec and the distance covered is 54 ft, we divide
54 ft by (4/3 ft/sec) to determine how long it takes the water to flow 54 ft:
54 ft
---------------- = 40.5 sec
(4/3 ft/sec)
Please help
calculate the coefficient of x^14y^4 in the expansion of (x+y)^18
Which of the following equations have exactly one solution? Choose all answers that apply:
A -5x+12=-5x-12−5x+12=−5x−12
B -5x+12=5x+12−5x+12=5x+12
C -5x+12=-12x-12−5x+12=−12x−12
D -5x+12=5x-5−5x+12=5x−5
Help plz
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
I have no clue. Somebody help plz!
Answer:
arithmetic, finite
Step-by-step explanation:
Each term is 1 more than the previous term, so there is a common difference of 1. That means the series is arithmetic.
The entire series consists of the 10 terms shown, so the series is finite.
_____
If each term were multiplied by some number to get the next, then it would be a geometric series. If it went on forever, it would be an infinite series.
A sheep breeding farm counted a total of 40 sheep on their grounds. After one year, the number of sheep doubled. Then in the next year, the number of sheep doubled again. If this trend continues, which of the following options represents the number of sheep on the farm by the end of each year?
Answer:
Step-by-step explanation:
It is comes under geometric sequence;
40 , 80 , 160 ,320 , ........
First term = a = 40
Common ratio = r = 2
nth term = [tex]ar^{n-1}\\[/tex]
Number of sheep on the farm by the end of each year = [tex]40*(2)^{n-1}\\[/tex]
Destiny and Guadalupe are shopping. Destiny buys 2 pairs of pants and 6 bracelets and pays $178.Guadalupe buys 3 pairs of pants and 2 bracelets and pays $155. Solve for the price of each item.
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
Can someone please help me I don’t understand how to do it
10) A rectangular patio measures 3x+4 meters by
2x-1 metres. If the perimeter of the patio measures 96
meters. Find the area of the patio.
This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem
Step 1: Create an equation for the perimeter respect to x
The equation for the perimeter p is:
[tex]p=2w+2l[/tex] where w is the width and l is the length
The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:
[tex]p=2(3x+4)+2(2x-1)[/tex]
[tex]=6x+8+4x-2[/tex]
[tex]=10x+6[/tex]
This is the equation for the perimeter
Step 2: Solve for x since we are given the perimeter
We are given that the perimeter is 96, thus we can create the equation:
[tex]10x+6=96[/tex]
Subtract 6 from both sides
[tex]10x=90[/tex]
Divide both sides by 10
[tex]x=9[/tex]
We have now found the value of x
Step 3: Find the length and width now that we know x
Plug the value of x into the expressions for the length and the width that we are given
[tex]\text{Length}=3x+4=3(9)+4=31[/tex]
[tex]\text{Width}=2x-1=2(9)-1=17[/tex]
Step 4: Solve for the area now that we know the dimensions
This is probably the easiest step. Multiply the length and width to find the area:
[tex]31 \times 17=527[/tex]
The area of the patio is 527.
I've double- and triple-checked that this is the correct answer, so do not worry about any errors.
Let me know if you need any clarifications, thanks!
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Answer:
Padoru Deserves a brainliest
Step-by-step explanation:
So i wrote this answer so she could have one please give them a brainliest