Answer:
function A
Step-by-step explanation:
First, we need to find the function of A. USing the coordinate points (0, 10) and (2,8)
Since y = mx+c
m = y2-y2/x2-x1
m = 8-10/2-0
m = -2/2
m = -1
From the coordinate (0, 10), the y-intercept is 10 i.e c = 10
The required equation is y = -x + 10
x intercept occurs at where y = 0
0 = -x+10
x =10
Hence the x-intercept of function A is 10
For Function B y = -2x^2 + 1
when y = 0
0 = -2x^2 + 1
2x^2 = 1
x^2 = 1/2
x = 1/√2
Hence the x intercept is 1/√2
Hence the function that has a greater y-intercept is function A
Consider a radioactive substance with original weight 20grams given by W(x)= 20 x (0.95)^x, where W(x) is with weight after x years. In about how many years is the radioactive substance half of its original weight? Type answer to one decimal place.
Answer:
13.5 years
Step-by-step explanation:
We are given the expression:
W(x)= 20 x (0.95)^x
Where W(x) = 20grams/2
= 10 grams
Hence:
10 = 20 x (0.95)^x
Divide both sides by 20
10/20 = 20 x (0.95)^x/20
0.5 = (0.95)^x
Take the log of both sides
log 0.5 = log (0.95)^x
log 0.5 = x log (0.95)
Divide both sides by log 0.95
x = log 0.5 / log 0.95
x = 13.513407334 years
Approximately to 1 decimal place =✓13.5 years
Therefore, it will take 13.5 years for the radioactive substance to be half of its original weight.
Suppose the two measures of a center are 82.5 degrees and 83.6 degrees. Which value is the mean?
A. 82.5
B. 83.6
Answer:
[tex]Mean=83.05^{\circ}[/tex]
Step-by-step explanation:
Given that,
The two measures of a center are 82.5 degrees and 83.6 degrees.
We need to find the value of the mean.
We know that,
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of observations}}[/tex]
So,
[tex]M=\dfrac{82.5 +83.6 }{2}\\\\M=83.05^{\circ}[/tex]
So, the value of the mean is equal to [tex]83.05^{\circ}[/tex].
A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.
x=-3
x=4
hope helps you
have a nice day
Classify the triangle by its side lengths.
Answer:
isosceles triangle
Step-by-step explanation:
isosceles triangles have two equal sides
Which of the following figures has an area that can be found using the
formula A = 8r2?
A. Circle
B. Pentagon
C. Square
D. Rhombus
HELP PLSS
BAnswer:
Step-by-step explanation:
Answer: circle
Step-by-step explanation:
Will give 50 points!!
Simplify your answer and write it as a proper fraction, improper fraction, or whole
number.
tan (H)=
Answer:
4/3
Step-by-step explanation:
GH =√90²-72²=
√8100-5184=
√2916= 54
so, tan (H) = 72/54 = 4/3
⁴/3 is a required answer.
Answer:
Solution given:
FG=72
FH=90
By using Pythagoras law
GH=[tex]\sqrt{90²-72²}=54[/tex]
Step-by-step explanation:
we have
Tan H=[tex] \frac{opposite}{adjacent}[/tex]
[tex]TanH=\frac{GF}{GH}=\frac{72}{54}=\frac{4}{3}[/tex]
A three-course meal includes an appetizer, a main course, and a dessert. A restaurant offers two kinds of appetizers, four kinds of main courses, and five kinds of dessert.How many different three-course meals can be made
Answer:
2*4*5 = 40
Step-by-step explanation:
What is 32% of 150
Please show work or explain your thinking
Need help with 2 and 3 ASAP PLEASE SHOW WORK it’s due soon please
Answer:
The volume of the cone is 25.13, the other one is 167.55
Step-by-step explanation:
v = 1/3pi(2)^2(6)
simplify and divide the above.
v = 25.13
1/3pi(4)^2(10)
= 167.55
Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next
Answer:
y - x= - 13 -------(1)
- 4x + 3y = -51 -------(2)
(1) => y = - 13 + x
Substitute y in (2)
- 4x + 3( - 13 + x) = -51
- 4x - 39 + 3x = -51
- x = -51 + 39
- x = -12
x = 12
Substitute x in (1)
y = - 13 + x = -13 + 12 = - 1
x = 12, y = -1
Somebody help me ASAP! I WILL GIVE BRAINLIEST IF YOU SOLVE THIS BY 12:40 PM PST
Answer:
B. {2/3, 1}Step-by-step explanation:
x²/5 - x/3 = -2/153x² - 5x = -23x² - 5x + 2 = 0x = (5 ± [tex]\sqrt{5^2 - 4*3*2}[/tex])/6x = (5 ± 1)/6x = 6/6 = 1 , x = 4/6 = 2/3Correct choice is B
Mrs. Davis has 96 bottles of water. If each bottle holds 1 pint of water, how many gallons of water does Mrs. Davis have?
Answer:
It’s 12.48 but if it is only a number and no decimals it will be 12.
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Cual propiedad de los números complejos se muestran a continuación?
(2+3i) + (5-4i) = (5-4i) + (2+3i)
The sum of two numbers is 12. When one number is subtracted from three times the other, the result is 4.
Find the numbers.
Answer:
1 2/3, 10 1/3
Step-by-step explanation:
x + y = 12
(3x - 1) = 4
let x = 12-y
substitute:
3(12-y) - 1 = 4
36 - 3y - 1 = 4
35 - 3y = 4
-3y = -31
y = 31/3 or 10 1/3
x = 11 3/3 - 10 1/3 which is 1 2/3
Tape Diagrams and Writing Equations
Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.
Answer:
3x + 16 = 22.75
3 = 22.75 - 16
3× = 6.75
3 3
x= 2.25
PLEASE HELP ME GUYS ×0×
Find the RATIO and the EXACT VALUE of the given Tan A.
Answer:
Step-by-step explanation:
take angle A as reference angle
using tan rule
tan A=opposite/adjacent
tan A=5/12
tan A=0.41
A=tan 22.5
A=22.5
for ratio,
tan A=5/12
change the decimals into percentage 6.1 and 0.6
Answer:
6.1 = 610%
0.6 = 60%
Step-by-step explanations:
Convert 6.1 to percentage[tex]= \frac{6.1}{1} * \frac{100}{100} =\frac{610}{100}[/tex]
[tex]= \frac{610}{100}[/tex] = 610%
Convert 0.6 to percentage[tex]=\frac{0.6}{1} * \frac{100}{100} =\frac{60}{100}[/tex]
= [tex]=\frac{60}{100} =[/tex] 60%
Step-by-step explanation:
6.1=61 percent
0.6=6 percent
A company makes fish tanks in the shape of right rectangular prisms. The company has an order for a fish tank that must be exactly 4 feet long and hold at least 35 cubic feet of water. The company wants to save money on materials and will make the tank with the smallest surface area possible. The dimensions of the tank must be in whole foot increments and a top is included in the construction What dimensions for the width and height of the fish tank will satisfy the requirements
The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .
What is dimension?Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.
According to the given problem,
let , b = is the width of the fish tank
h = is the height of the fish tank given that , hold at least 35 cubic feet of water .
so ,
4×b×h ≥ 35
⇒ h ≥ 35/4b
now , surface area of the fish tank
⇒ 4b + 2× 4h + 2× bh
now substitute the value of h
here
⇒ ≥ 4b +70/b + 35/2
⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )
therefore ,
= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,
h = 35 / 4 × 4 = 2.1875 round off h = 2
so , the minimum surface area of fish tank is
⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48
hence , the height and the width of the fish tank is 2 and 4 .
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A stove can be bought on hire purchase by making a deposit of $650 and 12 monthly instalments of $195 each. Calculate the hire purchase price of the stove.
Answer:
$2,990?
Step-by-step explanation:
I need answer immediately!!!!!!!
Answer:
13 inches
Step-by-step explanation:
Look at the start of where the graph becomes smooth.
Answer:
The guy above me is correct. The rise in the graph means it is snowing, the fllat line shows when it stops, then 2nd rise is the snow continuing at a different rate compared to the first. When the snow stopped the first time, look at where the flat line is on the y-axis. It lands on 13, which is 13 inches
PLEASE HELP ASAP
The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
y^= 100x + 50
What does the slope of the line represent?
Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars
How to know what the slope of a line represents?The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
Therefore,
y = 100x + 50
Using the linear equation model,
y = mx + b
where
m = slopeb = y-interceptTherefore,
slope = 100
y-intercept = 50
Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars
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Jake wants to distribute 543 marbles equally among 7 of his friends. In which place is the first digit of the quotient?
Answer:
tens place
Step-by-step explanation:
543/7≈77.5714285714
the first digit of the quotient is in the tens place
The first digit of the quotient is in tens place.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jake wants to distribute 543 marbles equally among 7 of his friends.
Now,
Since, Jake wants to distribute 543 marbles equally among 7 of his friends.
Hence, Number of marbles get by each friend = 543/7
= 77.57
Thus, The first digit of the quotient is in tens place.
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35%of C is 127 write an equation to represent this problem and solve equation to find volume of C
35%c=127
i hope this helps
Answer:
c = 620 | (217 x 100) / 35
Step-by-step explanation:
To solve this problem you multiply 217 by 100 and then divide the total by 35 as follows: (217 x 100) / 35
For an equation that represents as a function of the set of all values taken on by the ________ variable is the domain, and the set of all values taken on by the ________ variable is the range
Answer:
Independent [tex]\to[/tex] Domain
Dependent [tex]\to[/tex] Range
Step-by-step explanation:
Required
Fill in the gaps
A function is represented as:
[tex]y = f(x)[/tex]
Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).
Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.
A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.
What is the experimental probability of the arrow stopping over Section 1?
128
720
713
45
Section 1 Section 2 Section 3
28 36 16
Answer:
7/20Step-by-step explanation:
Frequency of Section 1 is 28 and total number of frequencies is 80.
P(Section 1) = 28/80 = 7/20Answer:
the frst person id wight!
Step-by-step explanation:
how do I solve −2x−9≥5 to get x
Answer:
x = - 7
Step-by-step explanation:
- 2x = 5 + 9
- 2x = 14
x = - 14 / 2
x = - 7
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
x ≤ -7
Step-by-step explanation:
−2x−9 ≥ 5
add 9 to both sides
-2x -9 +9 ≥ 5+9
-2x ≥ 14
divide -2 on both sides
since we're dividing by a negative number we need to flip our inequality sign
-2x/-2 ≥ 14/-2
x ≤ -7
how many equal parts are in each whole? iready
Solve the equation plz!
8(3x−2)/9 = 13/7
Step-by-step explanation:
(3x-2) =13/7x9/8
3x =117/56+2
3x = 117+112/56
x =229/56x3
x= 229/168
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Answer:
x=229/168
Step-by-step explanation:
[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]
Please help!!!!!!!!!1
what is the volume of a cylindrical can of radius 2 inches and height of 6 inches.
Volume of a cylinder = pi x r^2 x h
R is the radius which is given as 2 inches.H is the height given as 6 inches.
Using 3.14 for pi:
Volume = 3.14 x 2^2 x 6
Volume = 75.36 cubic inches
Answer:
[tex]\large \sf {\underline{\underline{ \fcolorbox{green}{g}{vσlumє \: σf \: cчlíndєr \: ís \: 75.36 \: cuвíc \: ínchєs}}}}[/tex]
Step-by-step explanation:
◇ Gívєn ◇➟ Rαdíus σf cчlíndrícαl cαn ís 2 ínchєs.
➟ Hєíght f cчlíndrícαl cαn ís 6 ínchєs.
◇ Fínd ◇➟ Vσlumє σf cчlíndrícαl cαn.
◇ Fσrmulα Usєd ◇➟ vσlumє σf cчlíndєr = π × r ² × hєíght
◇ Sσlutíσn ◇wє usєd fσrmulα
vσlumє σf cчlíndєr = π × r ² × hєíght
vσlumє σf cчlíndєr = 3.14 × (2 ínchєs) ² × 6 ínchєs
vσlumє σf cчlíndєr = 3.14 × 4 squαrє ínchєs × 6 ínchєs
vσlumє σf cчlíndєr = 3.14 × 24 cuвíc ínchєs
vσlumє σf cчlíndєr = 75.36 cuвíc ínchєs
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