Answer:
A. x - 3
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1
(f - g)(x) = (3x - 2) - (2x + 1)
(f - g)(x) = 3x - 2 - 2x - 1
(f - g)(x) = 3x - 2x - 2 - 1
(f - g)(x) = x - 3
Renting a trailer for 4 days costs $84. Renting the trailer for 5 days costs $100. Which of the following linear equations represents the (days, cost)?
Answer:Y=16x+20
Step-by-step explanation:
Y=16x+20 thats tthe one that worked for me
Evaluate: m - 12 when m = 23.
Answer:
11
Step-by-step explanation:
sub 23 with m
23 - 12 = 11
SNOG HELP OR SOMEONE THANK YOUUUU
Which unit rate is equivalent to 14 miles per gallon?
two gallons over thirty two miles
thirty two miles over two gallons
three gallons over forty two miles
forty two miles over three gallons
Answer:
forty two miles over three gallons
Step-by-step explanation:
2 gallons over 32 miles simplifies to 1 gallon over 16 miles, or 1 gallon per 16 miles. This is not the desired result, so we know the first choice is incorrect.
32 miles over 2 gallons simplifies to 16 miles over 1 gallon, or 16 miles per gallon. Again, this is not the desired result, so we know the second choice is also incorrect.
3 gallons over 42 miles simplifies to 1 gallon over 14 miles, or 1 gallon per 14 miles. While this may look correct, note that 1 gallon per 14 miles and 14 miles per gallon are not the same thing, so we know that the third answer is also incorrect.
By process of elimination, we know that the correct answer must be the last option, but let's still simplify it. 42 miles over 3 gallons simplifies to 14 miles over 1 gallon, or 14 gallons per mile. This is in fact the desired result, so we know that the correct answer is the last option. Hope this helps!
As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag.
First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a
turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting
the color before returning it to the bag. The point scheme for the game is detailed in the table below.
Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points
Both red: +4 points
Different colors: -1 point
Different colors: -1 point
Both red: 0 points
Both black: 0 points
If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the
correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn't matter which color Seth chooses.
Answer:
The first option
Step-by-step explanation:
The correct answer is the first option, since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
Answer:
I believe its A: Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
Step-by-step explanation:
edg 2020
there were 7 little cherries for every 2 big cherries. if there were 630 cherries in the box, how many little cherries were there? (please also answer the question in the picture)
Answer:
1)2205little cherries
2)0.5.
Step-by-step explanation:
1)7little=2big
?=630big
7×630=2205little cherries
2
2)²/5x=¹/10what is the value of 10x-2
first find the value of x that is ¹/10÷²/5=¼
so x is ¼
insert the value ie 10×¼-2
=2.5-2
=0.5
CD=17 AM=5 CD=? I've tried everything but I can't figure it out.
Answer:
We can prove that ΔTMB ≅ ΔTMD and ΔTMA ≅ ΔTMC by ASA. This means that BM = MD = BD / 2 = 8.5 and that AM = CM = 5 which means that CD = MD - CM = 8.5 - 5 = 3.5.
Help ASAP!!!!!! First gets brainliest
Answer:
So we are moving up 3 units
So we are moving to the right 2 units
Step-by-step explanation:
f(x-2) +3
y = f(x) + C C > 0 moves it up
So we are moving up 3 units
y = f(x + C) C < 0 moves it right
So we are moving to the right 2 units
Complete the table for the given rule. Rule: y = x + 2 3 y=x+ 3 2 y, equals, x, plus, start fraction, 2, divided by, 3, end fraction x xx y yy 2 22 8 3 3 8 start fraction, 8, divided by, 3, end fraction 22 3 3 22 start fraction, 22, divided by, 3, end fraction
Answer:
CHF the number of the person who is this and what is the address of the house and the kids are not going to be able to make it
Step-by-step explanation:
you are not going to be able to make it to the meeting tonight but I can tomorrow if you want to
Find the nth term -1 8 19 32 47
[tex]\bold{\text{Answer:}\quad \text{Recursive formula:}\ a_n=a_{-1}+2n+5}\\.\qquad \qquad \ \text{Explicit formula:}\ a_n=2n^2+3n-6[/tex]
Step-by-step explanation:
-1 → 8 = +9
8 → 19 = +11
19 → 32 = +13
32 → 47 = + 15
a₁ = -1
d = 2n + 5
Recursive formula is: the previous term plus the difference (d)
[tex]\large\boxed{a_n=a_{n-1}+2n+5}[/tex]
Explicit formula is the first term plus the product of d and n-1:
[tex]a_n=a_1+d(n-1)\\a_n=-1+(2n+5)(n-1)\\a_n=-1+2n^2-2n+5n-5\\\large\boxed{a_n=2n^2+3n-6}[/tex]
Polygon C CC has an area of 40 4040 square units. Kennan drew a scaled version of Polygon C CC using a scale factor of 1 2 2 1 start fraction, 1, divided by, 2, end fraction and labeled it Polygon D DD. What is the area of Polygon D DD?
Answer:
10 square units.
Step-by-step explanation:
Area of Polygon C = 40 square units.
Scale factor used in obtaining polygon D = [tex]\dfrac12[/tex]
To obtain the area of the new polygon, we multiply the area of the polygon from which it was derived by the square of the scale factor.
Therefore:
Area of Polygon D
[tex]=40 \times (\frac12)^2\\\\=40 \times \frac14\\\\=10$ square units[/tex]
The area of polygon D is 10 square units.
Find the product.
2x(x2-6x+3)
PLEASE HELP!!! ASAP!!!
Answer:
-8x^2+6x
Step-by-step explanation:
2x(2x−6x+3)
=(2x)(2x+−6x+3)
=(2x)(2x)+(2x)(−6x)+(2x)(3)
=4x2−12x2+6x
=−8x2+6x
Answer:
Your correct answer is 2(x2−6x+3)
Step-by-step explanation:
This is the simplified version.
. Find the measure of angle A.
A
160°
Answer:
20°
Step-by-step explanation:
A= 360°- (160°+2*90°)= 20°
urn I contains 1 red chip and 2 white chips; urn II contains 2 red chipsand 1 white chip. One chip is drawn at random from urn I and transferred to urnII. Then one chip is drawn from urn II. Suppose that a red chip is selected from urnII. What is the probability that the chip transferred was white
Answer:
Following are the answer to this question:
Step-by-step explanation:
In the question first calls the W if the transmitted chip was white so, the W' transmitted the chip is red or R if the red chip is picked by the urn II.
whenever a red chip is chosen from urn II, then the probability to transmitters the chip in white is:
[tex]P(\frac{w}{R}) = \frac{P(W\cap R)}{P(R)} \ \ \ \ \ _{Where}\\\\P(R) = P(W\cap R) + P(W'\cap R) \\[/tex]
The probability that only the transmitted chip is white is therefore [tex]P(W) = \frac{2}{3}\\[/tex], since urn, I comprise 3 chips and 2 chips are white.
But if the chip is white so, it is possible that urn II has 4 chips and 2 of them will be red since urn II and 2 are now visible, and it is possible to be: [tex]P(\frac{R}{W}) = \frac{2}{3}[/tex]
[tex]P(W\cap R) = P(W) \times P(\frac{R}{W}) \\[/tex]
[tex]= \frac{2}{3}\times \frac{2}{4} \\\\= \frac{2}{3}\times \frac{1}{2} \\\\= \frac{2}{3}\times \frac{1}{1} \\\\=\frac{1}{3}\\\\= 0.333[/tex]
Likewise, the chip transmitted is presumably red [tex](P(W')= \frac{1}{3})[/tex]and the chip transferred is a red chip of urn II [tex](P(\frac{R}{W'})= \frac{3}{4}[/tex], and a red chip is likely to be red [tex](\frac{R}{W'})[/tex].
Finally, [tex]P(W'\cap R) = P(W') \times P(\frac{R}{W'})\\[/tex]
[tex]= \frac{1}{3} \times \frac{3}{4} \\\\ = \frac{1}{1} \times \frac{1}{4} \\\\=\frac{1}{4}\\\\= 0.25[/tex]
The estimation of [tex]P(R)[/tex] and [tex]P(\frac{W }{R})[/tex] as:
[tex]P(R) = 0.3333 + 0.25\\\\ \ \ \ \ \ \ \ \ \ = 0.5833 \\\\ P(\frac{W}{R}) = \frac{0.3333}{0.5833} \\\\\ \ \ \ \ \ \ = 0.5714[/tex]
For the diagram shown, which pairs of angles are vertical angles? Select all that apply. Angle1 and Angle3 Angle2 and Angle4 Angle2 and Angle3 Angle5 and Angle7 Angle5 and Angle8 Angle8 and Angle6
Answer:
2 & 4
1 & 3
5 & 7
8 & 6
Vertical angles are formed in a set of intersecting lines. They are two differrent angles that are opposite of eachother but have the same angle.
Angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:
<1 and <3
<2 and <4
<5 and <7; and
<8 and <6
Recall:
Angles that are regarded as pairs of vertical angles share the same vertex and are directly opposite each other at the point of intersection of two straight lines.
From the image given,<1 and <3 are directly opposite each other and share same vertex.
<1 and <3 are therefore are a pair of angles that are vertical angles.
In the same vein, the following pairs:<2 and <4; <5 and <7; and <8 and <6 are all directly opposite each other. They are vertical angles pair.
Therefore, angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:
<1 and <3
<2 and <4
<5 and <7; and
<8 and <6
Learn more here:
https://brainly.com/question/2889556
What is formed when two complementary angles share one ray?
A.
the complementary angles form a line with the shared ray
B.
the complementary angles form a right angle with the shared ray
C.
the complementary angles form vertical angles with the shared ray
D.
the complementary angles form an obtuse angle with the shared ray
Answer:
B.
the complementary angles form a right angle with the shared ray
F(x)=x^2. What is g(x)?
Answer:
g(x)= 5x
Step-by-step explanation:
You should go back to the graph and notice that the abscissa 1 goes with the ordinate 5.
Now ask yourself how do I get 5 using 1. There many ways but notice that the function is growing and both functions f and g geow the same way. Wich mean that g(x)= 5x is a valid option.
notice that 0 is going with o at the ordinate.
some little calculations . m=(5-0)/(1-0)= 5
so the function is g(x)=5x+p
p is 0 since it is the first ordinate
so g(x)= 5x
The points (-2,4), (0,8), (1,10), and (3,14) are on a line. Which of the following statements are true?
Answer: y = 2x+8
Check out this graph I supplied you with!
factorise this expression as fully as possible 2x^2+6x
Answer:
(Factor out 2x from the expression)
2x (x +3)
Determine the perimeter and area of the unshaded portion of the figure below, given
the circle diameter of 7 cm and the perimeter of the entire figure is 42 cm.
Note: the red area in the image is the same as the unshaded area in the exam
question.
Answer:
The perimeter of the un-shaded portion is 42 cm
Step-by-step explanation:
The given information are;
The diameter of the circle = 7 cm
The perimeter of the entire figure = 42 cm.
The formula for the perimeter = 2 semi circles + 2 Side lengths, l
The formula for the perimeter = 2 × π·D/2 + 2× l
42 = 2×π·7/2 + 2·l = π·7 + 2·l
2·l = 42 - π×7 = 20.009 cm
l = 20.009 cm/2 = 10.004 cm
The perimeter of the un-shaded portion, [tex]P_{(unshaded)}[/tex] = 2 side length + 2 semicircles
∴ [tex]P_{(unshaded)}[/tex] = 2×l + 2 × π·D/2 = 2×l + 2×π·7/2 = 2·l + π·7 = 2×10.004 + π×7
[tex]P_{(unshaded)}[/tex] = 41.999 ≈ 42 cm
Therefore, the perimeter of the un-shaded portion = 42 cm.
Find the value of x.
helpppp pleaseee!!
Answer:
x = 50
Step-by-step explanation:
Since this is a quadrilateral, the sum is 360 degrees
2x+x+10 + 3x+x = 360
Combine like terms
7x+10 =360
Subtract 10 from each side
7x+10-10 = 360-10
7x = 350
Divide by 7
7x/7 = 350/7
x = 50
Answer:
[tex]x = 50[/tex]
Step-by-step explanation:
Sum of the interior angles in a quadrilateral
= 360°
Let's solve now
[tex]x + 10 + 3x + x + 2x = 360 \\ 7x + 10 = 360 \\ 7x = 360 - 10 \\ 7x = 350 \\ \frac{7x}{7} = \frac{350}{7} \\ x = 50[/tex]
hope this helps you.
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts (a) through (f) below.
Answer:
The answer is given below
Step-by-step explanation:
a) What is the probability that a randomly selected pregnancy lasts less than 242 days
First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,
[tex]z=\frac{x-\mu}{\sigma}=\frac{242-247}{16}=-0.31[/tex]
From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783
(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
If a sample of 17 pregnancies is obtained, the new mean [tex]\mu_x=\mu=247,[/tex] the new standard deviation: [tex]\sigma_x=\sigma/\sqrt{n} =16/\sqrt{17} =3.88[/tex]
c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{17} }=-1.29[/tex]
From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985
d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{49} }=-2.19[/tex]
From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143
(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?
It would be unusual if it came from mean of 247 days
f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean
For x = 236 days
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{236-247}{16/\sqrt{20} }=-3.07[/tex]
For x = 258 days
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{258-247}{16/\sqrt{20} }=3.07[/tex]
From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939
which of the following shows the correct steps to find the value of 8^1/3? (1 point)
Answer:
8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2
Step-by-step explanation:
Options are below
8 to the power of 1 over 3 equals 4 to the power of 3 whole to the power of 1 over 3 equals 4 to the power of 3 multiplied by 1 over 3 equals 4
8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2
8 to the power of 1 over 3 equals 2 to the power of 4 whole to the power of 1 over 3 equals 2 to the power of 4 multiplied by 1 over 3 equals 16
16 to the power of 1 over 4 equals 8 to the power of 2 whole to the power of 1 over 4 equals 8 to the power of 2 multiplied by 1 over 4 equals 8
Given:
8^1/3
if a power is raised to a power, we simplify it by multiplying the exponents; this will create a whole number exponent
if 8 can be rewritten as a number to the 3rd power.
We have
8 = 2*2*2 = 2³
Therefore,
8^1/3=(2^3)^1/3
=2^3×1/3
=2^3/3
=2^1
=2
ASAP! A boat travelling at top speed upstream moves at 15km/hr. When it travels downstream, again at top speed< it moves at 25km/hr. What is the boat's top speed in still water?
Answer: 20km/h
Step-by-step explanation:
20km/h. Simply average 15 and 25 by doing (15+25)/2
Hope it helps <3
Write a set of data that contains 12 values for which the box plot has no whiskers. State the median, first and third quartiles, and lower and upper extreme
Answer:
The data set is:
S = {4.5, 4.5, 4.5, 4.5, 6, 8, 10, 12, 13.5, 13.5, 13.5, 13.5}
Step-by-step explanation:
Consider the ordered data set:
S = {4.5, 4.5, 4.5, 4.5, 6, 8, 10, 12, 13.5, 13.5, 13.5, 13.5}
The lower extreme is: 4.5
The upper extreme is: 13.5
The median for an even number of observations is the mean of the middle two values.
[tex]\text{Median}=\frac{6^{th}+7^{th}}{2}=\frac{8+10}{2}=9[/tex]
The first quartile (Q₁) is defined as the mid-value between the minimum figure and the median of the data set.
Q₁ = 4.5
The 3rd quartile (Q₃) is the mid-value between the median and the maximum figure of the data set.
Q₃ = 13.5
A box plot that has no whiskers has, Range = Interquartile Range.
Compute the range as follows:
[tex]Rangw=Max.-Min.=13.5-4.5=9[/tex]
Compute the Interquartile Range as follows:
[tex]IQR=Q_{3}-Q_{1}=13.5-4.5=9[/tex]
Thus, the box pot for the provided data has no whiskers.
Please answer the qeustion 6TH GRAD PLEASE HELP OUT FAST THANKS
A company borrows 60,000 for 10 years at a simple interest rate of 8.5%. Find the interest paid on the loan and the total amount paid.
Answer: 51,000 ; 111,000
Step-by-step explanation:
The formula to calculate the simple interest is: PRT/100
where,
P = principal = 60,000
R = rate = 8.5%
T = time = 10 years
Simple interest =(60000 × 8.5 × 10)/100
= 5100000/100
= 51,000
Total Amount Paid= Principal + Interest
= 60,000 + 51,000
= 111,000
Please help ASAP I’m very unsure on how to do these 2 questions please give answers for both :)
Answer:
1) Option 2
2) Option 1
Step-by-step explanation:
1) 3a-2b
Where a = 3, b = 2
=> 3(3)-2(2)
=> 9-4
=> 5
2) 5c+3d
Where c = 4, d = -5
=> 5(4) + 3(-5)
=> 20 - 15
=> 5
Answers:
5, 5
Step-by-step explanation:
Put a as 3 and b as 2 and evaluate:
3(3) - 2(2)
9 - 4
= 5
Put c as 4 and d as -5 and evaluate:
5(4) + 3(-5)
20 - 15
= 5
HELP please!!
“Find the volume of the sphere rounded to the nearest hundredth
Answer:
904.32 cm^3
Step-by-step explanation:
The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.
What are the solutions to the quadratic equation below? x^2+34x-72=0
Answer:
( x + 36 ) ( x - 2 ) = 0
Step-by-step explanation:
x^2 + 36x - 2x -72 = 0
x ( x + 36 ) - 2 ( x + 36 ) = 0
( x + 36 ) ( x - 2 ) = 0
PLSSSSSSSSSSSSSSSSSS HELP I JUST DONT GET IT write in standard form a) 456000 b) 0.00034 c) 16×10with a seven in the right corner of the 10
Answer:
A) 4.56000 x 10^5
B) 3.4 x 10^-4
C) 160000000
Step-by-step explanation:
Please mark me the brainliest answer!
Answer:
Step-by-step explanation:
a) 456000 = 4.5* 10⁵
b) 0.00034 = 3.4 *10⁻⁴
c) 16 *10 = 1.6 * 10²