Let
y ------> the year
x ----> revenue
so
Plot the given ordered pairs
see the attached figure
(please wait a minute to plot the points)
In the graph the x-coordinate 0 represent year 1990
Find out the equation of the line
take two points
(1990, 5.7) and (2006, 11.5)
Find the slope m
m=(11.5-5.7)/(2006-1990)
m=5.8/16
m=0.3625
Find the equation of the line in slope intercept form
y=mx+b
we have
m=0.3625
point (1990, 5.7)
substitute and solve for b
5.7=(0.3625)(1990)+b
b=-715.675
therefore
y=0.3625x-715.675is it correct ?
the question is :
(2/5 ÷ 3/8) ÷ (-3/5)
solution : =
2/5 × 8/3 = 16/15. 16/15 × -3/5 = -39 / 80
if its not correct please tell how to do it.
Answer:
Step-by-step explanation:
It is correct till 16/15
But after that it is 16/15 × 5/-3 = 80/-45
simplify it to 16/-9
72 divided(3x(112-109)+10.04
Leti has just received a $15.00 gift card to Late, Late, Coffee for her birthday. Leti buys a small coffee each day. The total cost of the coffee is $1.50 including tax. The relationship between the coffee that Leti buys and the gift card can be modeled by a linear function y=15-1.50x. What is the initial value and what does it represent in the context of this problem?
Answer:
the initial value is 15 and it represents the y-intersect in the context of this problem
Step-by-step explanation:
Three times a number decreased by eighteen.
Answer:
3n-18
Step-by-step explanation:
let n be the number
n
3 times a number
3n
decreased by is subtraction
3n-18
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
Please help me will make brainlist
Answer:B
Step-by-step explanation:
Help me please correct answer will be given brainlist.
Answer
14.422
Step-by-step explanation:
a² + b² = c²
12² + 8² = c²
144 + 64 = 208
c² = 208
√c² = √208
c = 14.422
Which of the following is an example of A.S.A. criterion of congruency for two triangles ∠ACB and ∠DEF? a)AB = EF, ∠B = ∠E and ∠C = ∠F b)BC = EF, ∠B = ∠F and ∠C = ∠E c)AC = EF, ∠B = ∠D and ∠C = ∠F d)AC = DE, ∠B = ∠D and ∠C = ∠F
Under ASA criterion, Δ ACB ≅ ΔDEF, as ∠C = ∠E, ∠B = ∠F, and the side CB = EF.
What is ASA Congruence Rule?
ASA Congruence rule stands for Angle-Side-Angle. Under this rule, two triangles are said to be congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. Look at the image given below to determine if the two given triangles, Δ ABC and ΔXYZ are congruent by the ASA rule.
Hence , Under ASA criterion, Δ ACB ≅ ΔDEF, as ∠C = ∠E, ∠B = ∠F, and the side CB = EF. Since Δ ACB ≅ ΔDEF, then the third angle ∠A and the other two sides of Δ ACB are bound to be equal to the corresponding angle ∠D and the sides of ΔDEF.
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Please help: Find an equation of a line that is tangent to the graph of f and parallel to the given line.
The equation of a line that is tangent to the graph of f and parallel to the given line is; y = 3x + 2 and y = 3x - 2
How to find the equation of a line in slope intercept formThe given equation of the line is 3x - y + 3 = 0
In slope intercept form, this can be rewritten as;
y = 3x + 3
Therefore, the slope of this line will be 3 since in y = mx + c, m is the slope. Thus, the slope of the parallel line will be 3
We will be looking for the value of x when the derivative of f(x) equals 3.
f(x) = x³ and so f'(x) = 3x²
Thus;
3x² = 3
x² = 3/3
x² = 1
x = 1 or -1
Thus;
y = 1³ or y =-1³
y = 1 or -1
Equation of tangent is;
y - 1 = 3(x - 1)
y - 1 = 3x - 3
y = 3x - 2
or y - (-1) = 3(x - (-1))
y + 1 = 3x + 3
y = 3x + 2
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HELP ME!!!
What is 1x0=???
(I honestly dunno ._.)
Answer:
good one
Step-by-step explanation:
Answer:
0 :/
Step-by-step explanation:
bc anything times 0 is 0
XD Hope it helps lol
ac+ 9+ 8- 7+ 6- 5+ 4+ 3+ 2+ 123456789 -9-8 -7-6-5-4-3 -2 -2+ -3+ -53 -6+ क 4of4
The equation of the line is;
\(y\text{ = x-5}\)Here, we want to find the slope of the given shown line
Mathematically, we have this as;
\(y=\text{ mx + b}\)where m is the slope and b is the y-intercept
The y-intercept is where the line crosses the y-axis
We have this already from the graph at the point y = -5
To get the slope, we simply substitute the coordinates of one of the points
The point which we shall use is the point (3,-2)
We substitute 3 for x and -2 for y
We have this as;
\(\begin{gathered} \text{From;} \\ y\text{ = mx - 5} \\ -2\text{ = 3(x) - 5} \\ -2\text{ + 5= 3x} \\ 3x\text{ = 3} \\ x\text{ = }\frac{3}{3} \\ x\text{ = 1} \end{gathered}\)The equation of the line is;
\(y\text{ = x - 5}\)Helppppp !!!
For each relation, decide whether or not it is a function.
1. Relation 1 is a function
2. Relation 2 is a function
3. Relation 3 is not a function
4. Relation 4 is a function
How to determine if each relation is a functionFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4)
Relation (1)
This relation is a function
This is because each range value point to unique domain values
Relation (2)
This relation is a function
This is because each range value point to unique domain values
Relation (3)
This relation is not a function
This is because domain values w have different range values.
Relation (4)
This relation is a function
This is because each range value point to unique domain values
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Priya has a recipe bread. She uses 7 1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour. Witch of these equations represent the relationship between b and f
Answer:
2f = 5b
Explanation:
Convert 4325 to base 20.
Answer:
216.1.4 is 4325÷20 so yup that's what I think
The result of converting 4325 to base 20 is 5
What are the digits of basses?When you see a number on a line in Bass TAB, it means you should play a specific note on that string. The fret numbers on a string are represented by the numbers on Bass TAB. The fifth fret on your bass is represented by the number 5. If you play a standard bass guitar, you will notice that it only has four strings. E, A, D, G is the standard tuning for a four-string bass (the same as the four lowest strings on the guitar but one octave lower). Fourths are used to tune the bass strings. A 4-string will probably suffice for most styles.Therefore,
Converting 4325 to base 20.
4 × 20³ = 32,000
3 × 20² = 1,200
2 × \(20^{1}\) = 40
5 × \($20^{0}\) = 5
Adding all to get Ans = \($4325_{20}\)
Hence, The result of converting 4325 to base 20 is 5
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Compare. Choose the correct symbol.
A) <
B) >
C) =
Answer:
B) >
Step-by-step explanation:
We can convert the fractions into decimals to see which is greater.
3/5 = 0.6
5/10 = 0.5
From this, we can see that 3/5 is greater than 5/10, so the sign is >.
hope this helps :)
A salesperson receives a 16.1% commission on her sales. If her total sales for the month are $4200, what is her commission? If she has total sales for the month is $4200, she will earn a commission of $
Answer:
676.2$
Step-by-step explanation:
4200 x 16.1% = 676.2$
What is the domain of the function f(x) = sqrt x-9 + 5?
Answer:
D. x≥ 9
Step-by-step explanation:
√x-9 should be ≥ 0
so, x-9≥0
=> x ≥ 9
Find x
14.2
18.5
find correct answer
From the circle the value of angle x is 90 degrees
We have to find the value of x
The radius of the circle is 18.5
As we observe the figure the angle x is opposite to the 90 degrees
The angle x and angle 90 degrees are vertical angles
We know that the vertical angles are equal or same
∠x = 90 degrees
Hence, the value of angle x is 90 degrees from the circle
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solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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HELP ME PLEASE!!! I HAVE CLASS TODAY AND THIS IS DUE!!!! WORTH 30 POINTS!!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!
VIEW ATTACHMENT BELOW:
The four rectangles can be painted with 7 different paints in 840 ways.
What is permutation?A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.
The formula for permutattion is;
\(P_r_n = \frac{n!}{(n-r)!} \\\)
where r = 4
n = 7
Substituting the values for n and r
\(P = \frac{7!}{(7-4)!}\)
\(P = \frac{7!}{3!}\)
P = 840 ways.
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Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
A person invests $1,000 into stock of a company that hopes to go public in one year. The probability that the person will lose all his money after one year (i.e. his stock will be worthless) is 35%. The probability that the person’s stock will still have a value of $1,000 after one year (i.e. no profit and no loss) is 60%. The probability that the person’s stock will increase in value by $10,000 after one year (i.e. will be worth $11,000) is 5%. Find the expected profit after one year.
Answer:
The expected profit after one year is of $150.
Step-by-step explanation:
Probabilities after one year:
35% probability of losing $1,000, that is, 35% probability of a profit of -$1,000.
60% probability of still having a value of $1,000, that is, 60% probability of a profit of $0.
5% probability of a increase in value of $10,000, that is, a profit of $10,000.
Find the expected profit after one year.
Each value is multiplied by its probability. So
\(E = -0.35*1000 + 0.6*0 + 0.05*10000 = 150\)
The expected profit after one year is of $150.
6. Meryll made a pancake with a circumference of 125.6 cm. What is its area? (A) 884 cm² (B) 1 256 cm² (C) 1 468 cm²
Answer:
(B) 1256 cm²---------------
Let the radius be r.
Use circumference formula and find the value of r:
C = 2πr125.6 = 2*3.14rr = 125.6/6.28r = 20Find the area using the circle area formula:
A = πr²A = 3.14*20²A = 1256The matching choice is (B).
Answer:
Step-by-step explanation:
What is the equation of the line that passes through (-1,-4) and (-2,-1)
Answer:
y+4=-3(x+1)
Step-by-step explanation:
You start by calculating the slope which is y1-y2 over x1-x2, which plugging the numbers in, comes out to be -3. Then, taking the point slope formula
(y-y1=m[x-x1]), you just plug the rest of the variables in.
Which is the product of 5/18 and 6?
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
What translation would map C onto A?
A. (x – 7, y + 3)
B. (x + 3, y – 7)
C. (x – 3, y + 7)
D. (x + 7, y – 3)
Answer:
A
Step-by-step explanation:
consider the coordinates of points C and A
C (4, - 1 ) and A (- 3, 2 )
4 → - 3 in the x- direction is - 7
- 1 → 2 in the y- direction is + 3
then the translation rule is
(x, y ) → (x - 7, y + 3 )
Simplify the following polynomial expression (8x^2-7x+2)+(3x^2-9x-6) help fasttt!!!!!!!!!!!!!
Answer:
11x^2 - 16x +4
Step-by-step explanation:
In order to simplify, add like terms
(8x^2-7x+2)+(3x^2-9x-6)
8x^2 + 3x^2 = 11x^2
-7x + -9x = -16x
-6 + 2 = 4
now the equation is 11x^2 - 16x +4
Saroj, Sheela, Moni, and Sally, took part in a cycle race. Saroj finished first. Shobha finished second to last. Moni finished ahead of Shobha. Sally finished after Shobha. Who came second in the race?
i didn't understand that
if the participants are saroj sheela moni and sally then where did shobha come from
A hexagonal-based pyramid has a side length of 6 inches and an
apothem of 8 inches. Its volume is 3168 in³. What is the height of
the pyramid?
The height of the hexagonal-based pyramid is approximately 101.61 inches.
To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) × Base Area × Height
In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.
The base area of a regular hexagon can be calculated using the formula:
Base Area = (3√3/2) × s²
Let's calculate the base area first:
Base Area = (3√3/2) × (6 in)²
Base Area = (3√3/2) × 36 in²
Base Area ≈ 93.53 in²
Now, we can rearrange the volume formula to solve for the height:
Height = Volume / ((1/3) × Base Area)
Height = 3168 in³ / ((1/3) × 93.53 in²)
Height = 3168 in³ / (31.177 in²)
Height ≈ 101.61 in
Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.
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