Answer:
Two rays (or lines) that begin at the same point or share same endpoint. If the lines have endpoints, they're rays. If not, they're lines.
Determine the average rate of change, in gallons of gas per year, from 1960 and 1999 and then determine what the result means in this situation. a. -0.33gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by a third of a gallon per year. b. 0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by a third of a gallon per year. c. 2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by nearly 3 gal/year. d. -2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by nearly 3 gal/year.
Answer:
D-step explanation:
None just guessed
REASONING The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.
Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the $y$ -intercept to the nearest tenth, if necessary.
y=
Identify the correlation coefficient. Round your answer to the nearest thousandths.
Interpret the correlation coefficient.
b. Interpret the slope of the line of best fit.
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.
The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1
How to illustrate the table?From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.
The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.
When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.
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Ax+By=C
Use integers for A,B, and C
y+5=4(x-2)
URGENT PLEASE HELP !
Answer:
8/4 Square Inches
Step-by-step explanation:
I think so
A 10 ounce can of peaches cost $2.40 in a 25 ounce can of peaches cost $4.80 what is the unit price of the 25 ounce can of peaches
Unit price = total price / size
unit price for 25 ounce can :
$4.80 / 25 ounces = $0.192 per ounce
Write the equation for function g(x)
Answer:
g(x) = (x + 2)^2 + 1
Step-by-step explanation:
From the graph/image that you have provided said translated shift of
f(x) -> g(x)
f(x) = x^2 , g(x) = a(x -h)^2 +k
h is shift right/left
k is shift up/down.
It appears that the shift is left 2 and up 1.
h = -2 and k = 1
g(x) = (x - (-2))^2 +1
g(x) = (x + 2)^2 + 1
9. Kate is randomly choosing a date in the month
of August. What is the probability that she
chooses a two-digit number or a prime number?
The probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
Kate is randomly choosing a date in the month of August. This date must be a two-digit number or a prime number.
Total days in August month is 31.Prime number data in this month is 11(2,3,5,7,11,13,17,19,23,29,31)Two-digit number data in this month is 21(10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31).The two digit prime numbers are 7(11,13,17,19,23,29,31). Thus, the probability is,
[tex]P=\dfrac{7}{31}[/tex]
Hence, the probability that Kate chooses a two-digit number or a prime number randomly from the month of August is 7/31.
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which function corresponds to the graph below? help pleaseee!
Answer:
A
Step-by-step explanation:
It is A because the negative in front of the 4 shows the curve was REFLECTED over the x-axis. The +1/2 in the parenthesis with the x shows the curve was translated (shifted or slid) to the LEFT 1/2 unit and the +3 at the end of the equation shows the whole thing was translated/shifted/slid UP 3 units. These transformations all together make the equation in A match the curve given.
3cot^(2 )x-1=0
Pls Help
Answer:
[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]
Step-by-step explanation:
[tex]3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\[/tex]
x=tan^-1([tex]\sqrt{3}[/tex])
It has to be in Quadrant 1 [tex]\frac{+}{+} =+[/tex] or 3 [tex]\frac{-}{-}=+[/tex] for positive.
[tex]x=\frac{\pi }{6} ,\frac{7\pi }{6}[/tex]
Unless that incorrect due to tan(x) range is [tex]-\frac{\pi }{2} \leq x\leq \frac{\pi }{2}[/tex]. Then the only answer is [tex]x=\frac{\pi }{6}[/tex]
How do we find coterminal angles for
degrees? Radians?
Answer:
To find coterminal angles, add or subtract 360 degrees of the terminal angle as many times possible.
To find radians, use this formula:
Degrees × π/180°
Coterminal angles point in the same exact direction.
In degree mode, you can add on 360 degrees to get a coterminal angle.
Example: 90 degrees is coterminal to 450 degrees because 90+360 = 450. Both angles 90 and 450 point directly north.
You can also subtract 360 from the angle to get a coterminal counterpart.
Example: Given the angle 700, it is coterminal to 340 since 700-360 = 340
This process of adding or subtracting 360 can be done as many times as you like.
------------------------------
For radian mode, you'll add or subtract 2pi radians to get a coterminal angle. This is because 2pi radians = 360 degrees by definition.
Examples:
pi is coterminal to 3pi because pi+2pi = 3pi, both point directly westpi/4 is coterminal to 9pi/4 because pi/4 + 2pi = pi/4 + 8pi/4 = 9pi/421pi/4 is coterminal to 13pi/4 because 21pi/4 - 2pi = 21pi/4 - 8pi/4 = 13pi/4How do you find A to C?
Answer:
7√3
Step-by-step explanation:
Pythagorean Theorem
a² + b² = c²
7² + b² = 14²
b² = 14² - 7²
b² = 196 - 49
b = √147
7√3
BRAINLIEST please if this helped!Answer:
[tex]AC = 12.12[/tex]
Step-by-step explanation:
Step 1: Determine side AC
[tex]Pythagorean\ theorem[/tex] → [tex]a^2 + b^2 = c^2[/tex]
[tex](AC)^2 + (CB)^2 = (AB)^2[/tex]
[tex](AC)^2 + (7)^2 = (14)^2[/tex]
[tex](AC)^2 + 49 = 196[/tex]
Step 2: Subtract 49 from both sides
[tex](AC)^2 + 49 - 49 = 196- 49[/tex]
[tex](AC)^2 = 147[/tex]
Step 3: Square root both sides
[tex]\sqrt{(AC)^2} = \sqrt{147}[/tex]
[tex]AC = 12.12[/tex]
Answer: [tex]AC = 12.12[/tex]
I need some help. i dont know what to do, and its very hard for my smol brain
Check the picture below.
[tex]\begin{cases} (12x)+(5x-10)+\theta =180\\ ~\hfill \theta +16x = 180 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large 180}}{(12x)+(5x-10)+\theta}~~ = ~~\stackrel{\textit{\Large 180}}{\theta +16x}\implies 17x-10+\theta =\theta +16x \\\\\\ 17x-10=16x\implies 17x=16x+10\implies \boxed{x=10} \\\\[-0.35em] ~\dotfill\\\\ \theta +16x = 180\implies \theta +16(10)=180\implies \theta +160=180\implies \stackrel{\measuredangle C}{\theta} =20[/tex]
What are the solutions to the quadratic equation 4x2 = 64?
x = −16 and x = 16
x = −8 and x = 8
x = −4 and x = 4
x = −2 and x = 2
Answer:
x = −4 and x = 4
Step-by-step explanation:
if you do divide its all the opposite 8÷64=8 4×2=8 8×32=4 or 8÷-2=-4
Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q'R'S'T'?
A) Q' (4, 4), R' (-4, 4), S' (-4, -4), T' (4, -4)
B) Q' (-1, 1), R' (1, 1), S' (1, -1), T' (-1, -1)
C) Q' (-4, 4), R' (4, 4), S' (4, -4), T' (-4, -4)
D) Q' (-3, 3), R' (3, 3), S' (3, -3), T' (-3, -3)
Answer:
C) Q' (-4, 4), R' (4, 4), S' (4, -4), T' (-4, -4)
Step-by-step explanation:
Original:
Q = (-2, 2)
R = (2, 2)
S = (2, -2)
T = (-2, -2)
After multiplying each coordinate by 2:
Q' = (-4, 4)
R' = (4, 4)
S' = (4, -4)
T' = (-4, -4)
The area of a rectangular pool is given by the expression, h^2+11h+28. Which of the following represents the length and width of the pool, in terms of h?
A) (h+2)(h+14)
B) (h+1)(h+28)
C) (h+4)(h+28)
Scarlett is designing a package for a candy her company makes. She has cut several cardboard equilateral triangles, squares, rectangles, and regular pentagons to try out her ideas for the package. Which 3-D figure and combination of shapes can Scarlett use?
Equilateral triangle prism with two equilateral triangles and three rectangles
Pentagonal prism with one pentagon and five rectangles
Rectangular prism with four rectangles
Square prism with four squares
To create a 3D figure, Scarlett can use two equilateral triangles and three rectangles, which leads to an equilateral triangle prism.
What is a prism?This is a solid or 3D figure that has two faces made up of polygons.
How to create different prisms?Square prism: Six squares.Rectangular prism: Two squares and four rectangles.Pentagonal prism: Two pentagons and five rectangles.Equilteral triangle prism: Two equilateral triangles and three rectangles.Learn more about geometrical figures in: https://brainly.com/question/2778048
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Answer: The answer is Equilateral triangle prism with two equilateral triangles and three rectangles
Step-by-step explanation:
I took the test
Oh and I am good like that.
A table has a length of 9 and a width of 4. What is the perimeter?
Answer:
26
Step-by-step explanation:
Assume the table is a rectangle.
A rectangle has 2 sides with the length of the length and 2 sides with the length of the width.
perimeter = sum of the lengths of the sides
perimeter = 9 + 9 + 4 + 4
perimeter = 26
Answer:
26
Step-by-step explanation:
Assuming the table is rectangular...
Rectangles = 4 sides
2 sides = 9
Other 2 sides = 4
Perimeter = adding up the sides
9+9+4+4=26
A shopkeeper sold 12 bags on the first day. The number became four times
every subsequent day. Find the total number of bags sold in seven days.
48
84
65,532
65,535
The total number of the bags sold by the shopkeeper will be 65532.
What is number series?The sequence formed by using the numbers is termed as the number series.So in this question from day one to day seven each day the sold items are multiplied by 4.
So the mathematical expression will be given as:
[tex]=(12\times 4^0)+(12\times 4^1)+(12\times 4^2)+(12\times 4^3)+(12\times 4^4)+(12\times 4^5)+(12\times 4^6)[/tex]
[tex]=12+48+192+768+3072+12288+49152\\\\=65532[/tex]
Hence the total number of the bags sold by the shopkeeper will be 65532.
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The diagram shows figures that are parallelograms and figures that are rectangles.
Select the four attributes that all parallelograms and all rectangles have in common.
maria worked as a florist and worked 12 hours last week and earned $96 at that rate how much will she earn this weekend if she works 14 hours
Answer:
Maria earned 112 dollars
Step-by-step explanation:
divided 96 by 12 then once you have that, multiply your answer by 14
What is the value of this expression? [(9+5) x (4-2)] X (5-1) A 108 B112 C148 D336
Answer:
B
Step-by-step explanation:
Find the value of n.
Answer:
45°
Step-by-step explanation:
sum of exterior angles = 360
n+n+n+n+90+90=360
4n+180=360
4n=180n=45
I think of a number,divide it by 4 then subtract 3. Give your answer in algebraic notation.
Correct answer automatically gets brainliest :)
What is the solution to this equation?
x+17 = 25
OA. x=9
B. x = 42
OC. x=8
OD. x = 12
Answer:
C. x=8Step-by-step explanation:
x + 17 = 25
Then
x + 17 - 17 = 25 - 17 (we subtract 17 from both sides in order to isolate x)
Then
x = 8
What amount of money must you invest at 6.8% compounded monthly, in order to have $10,000 after 10 years? Round your answer to the nearest dollar.
The amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
What is compound interest?
Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
The rate of interest is 6.8% on the amount which is compounded monthly
The value of final amount is $10,000 after the time period of 10 years. There are total 12 months a year. Thus, the value of principal amount using the above formula is,
[tex]10000=P\times\left(1+\dfrac{6.8}{12\times100}\right)^{12\times10}\\10000=P\times1.97\\P=\dfrac{10000}{1.97}\\P=5076.14\\P\approx5076[/tex]
Thus, the amount of money which is invested at 6.8% compounded monthly, in order to have $10,000 after 10 year is $5076.
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the length of the side sqaure A is 50% OF THE LENGTH OF THE SIDE SQUARE b
Let's say the side length of square A is x, which means the side length of square B is 2x.
Then, the area of square A can be written as , and the area of square B can be written as .
There's no diagram here with shaded region, so I'll just find the area of square A as a percentage of the area of square B:
= 1/4 = 25%
So, the answer is 25% (note this is the answer to the question: "express the area of square A as a percentage of the area of square B; there is no diagram showing me where the shaded area is, so I cannot answer the original question
Which fraction below represents a repeating decimal?
A.1/2
B.1/5
C.1/8
D.1/9
Answer:
1/9
Step-by-step explanation:
lol
Answer:
1/9
Step-by-step explanation:
Your welcome
Find the amount you would pay for a jacket that costs $52 that is advertised at 25% off.
Answer:
39
Step-by-step explanation:
First find the discount
52 * 25%
52 * .25
13
Subtract that from the original amount
52-13
39
The price is 39 dollars
Over the next 3 days Mrs. Messer would like to write 27 thank you cards. How many cards will she need to write each day in order to finish in time?
Answer:
9 Cards
Step-by-step explanation:
9 Cards a day equals 27 cards in 3 days
Answer:
9 CARDS
Step-by-step explanation:
(9) ~\(-_-)/~
What is the exact value of x?
5 ⋅ 8^4x = 376
x=4log75.2/log8
x=4log8/log75.2
x=log75.2/4log8
x=log8/4log75.2
Answer:
[tex]x=\dfrac{\log(75.2)}{4\log(8)}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}5 \cdot 8^{4x} & =376\\8^{4x} & = \dfrac{376}{5}\\8^{4x} & =75.2\end{aligned}[/tex]
Taking logs of both sides:
[tex]\implies \log(8)^{4x}=\log(75.2)[/tex]
Using the power log rule [tex]\log_a(x)^n=n\log_a(x)[/tex] :
[tex]\implies 4x\log(8)=\log(75.2)[/tex]
Solving for x:
[tex]\begin{aligned}\implies 4x\log(8) & =\log(75.2)\\\\ 4x & =\dfrac{\log(75.2)}{\log(8)}\\\\x & =\dfrac{\log(75.2)}{4\log(8)}\\\end{aligned}[/tex]