Answer:
Step-by-step explanation:
From the given table,
Ratio of each successive term in the row showing salary (y) is,
Ratio = [tex]\frac{30}{15}[/tex] = 2
Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.
y = a(b)ˣ
For x = 0, y = 15,
15 = a(b)⁰
a = 15
For x = 1, y = 30,
30 = 15(b)¹
b = 2
Therefore, exponential function Or exponential model will be,
y = 15(2)ˣ
Projected salary in 9 years [For x = 9],
y = 15(2)⁹
y = 15 × 512
y = $7680
For the salary more than $3 million [For y = $3000000],
3000000 = 15(2)ˣ
2ˣ = 200000
log(2)ˣ = log(200000)
xlog2 = log(2×10⁵)
xlog2 = log2 + log(10)⁵
(x - 1)log2 = 5
x - 1 = [tex]\frac{5}{\text{log2}}[/tex]
x = 16.609 + 1
x = 17.609
x ≈ 17.61 years
22% of _ peaches is 11 peaches
|y-x|,if y>x pls dont write in absolute value
Answer:
The answer is y-x
Step-by-step explanation:
Applying the rule that |y| = y when y>0, we can plug in the values of y-x instead of y.
So, |y-x| = y-x if y>0
Find the opposite of: - 4x2 - 6x + 3
What is the answer to 1+1 ?
Answer:
2
Step-by-step explanation:
1+1=2
Thank you for coming to my TED Talk
Answer:
22
Step-by-step explanation:
Find the measure. m∠GDF
Answer:
∠GDF = 26°
Step-by-step explanation:
6y + 2 = 7y - 2
subtract 6y from each side of the equation:
2 = y - 2
add 2 to each side:
y = 4
6(4) + 2 = 26°
X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots
Answer:
The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0
Step-by-step explanation:
One third is equivalent to what number over 12?
Answer:
4/12
Step-by-step explanation:
1/3=x/12
using the butterfly method you see that
12=3x
and when solved you get
x=4
giving you
4/12
Also multiply 1/3 by 4 on each side
One third is equivalent to 4 over 12.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let the unknown number be x.
Here, 1/3 = x/12
Multiply both the numerator and denominator of 1/3 by 4, we get
4/12
So, 4/12 = x/12
x=12
Therefore, the unknown number is 12.
To learn more about the fraction visit:
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Nicole received the following scores on her last 10 math assignments.
Answer: 89
Step-by-step explanation:
right on edge
Determine which polynomial is a perfect square trinomial. Explain your answer.
Group of answer choices
A. 49x2 − 28x + 16
B. 9a2 − 30a + 25
C. 25b2 − 45b − 81
D. 16x2 − 24x − 9
Answer:
The answer is B. 9a2-30a+25
Step-by-step explanation:
First of all, the second sign is going to be +, so you can toss out C and D without checking.
Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.
sqrt(49) * sqrt(16) = 7 * 4 = 28
28 * 2 = 56
56 <> 28
So toss A.
sqrt(9) * sqrt(25) = 3 * 5 = 15
15 * 2 = 30
So the answer is B
(3a - 5)^2 = 9a^2 - 30a + 25
By the way, use ^ to indicate an exponent.
Which of these forms a perfect square: Select all expressions that are prefect squares. Group of answer choices (a+3)(3+a) (a+b)(b+a) (2x-1)(2x+1) (x+5)(x+5) (-9+c)(c-9) (y-10)(10-y) (4-3x)(3-4x)
Answer:
Step-by-step explanation:
x = 2
step-by-step explanation:
if sr parallel to ba then the sides bc and ac are in proportion, that is
\frac{sb}{cs} = \frac{ra}{cr} ← substitute values
\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )
27x = 6(4x + 1)
27x = 24x + 6 ( subtract 24x from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers
Answer:
I'm pretty sure this is the answer....
The speakers are $56.
Sorry if i'm wrong. :')
Step-by-step explanation:
Answer:
You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?
First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.
Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:
0.350 x $160 = $56.00.
So for this sale, you'll save $56.00 on this item.
This means, the cost of the item to you is
$160 - $56.00 = $104.00.
Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).
Now what's 65.000% of the total cost?
0.650 x $160 = $104.00.
Just like the result above, the sale price on the item is $104.00
a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.
Answer:
A
Step-by-step explanation:
The statement 'the bike distance is greater than the run distance.' must be true.
The correct answer is option D.
What is distance?"It is the length of the line joining the two points."
Angle properties:In any triangle,
the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.For given example,
We have given two angles of triangle.
65° and 57°
We know, the sum of all angles of triangle is 180°.
Let 'x' be the remaining angle.
⇒ x + 65° + 57 = 180°
⇒ x +122° = 180°
⇒ x = 58°
We know,
In any triangle,
- the smallest side and smallest angle are opposite one another.
- the mid-sized side and mid-sized angle are opposite one another.
- the largest side and largest angle are opposite one another.
Here,
57° < 58° < 65°
⇒ Run < Bike < Swim
This means, the statement 'the bike distance is greater than the run distance.' is correct.
The correct answer is option D.
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The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?
9514 1404 393
Answer:
12 ft
Step-by-step explanation:
Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...
A = LW
264 = (2w-2)w
132 = w² -w . . . . . . . divide by 2, eliminate parentheses
132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square
√132.25 = w -0.5 . . . . . take the square root
0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root
The width of the living room is 12 feet.
If 2^2x = 2^3, what is the value of x?
Answer:
x = 2
Step-by-step explanation:
https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do
Answer:
so fun and amazing!
Step-by-step explanation:
it takes 2 days to repair 150 meters of road. at this rate, how many days will it take to repair 6 kilometers of road?
Answer:
4 ndays
Step-by-step explanation:
what is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?
Answer:
240
Step-by-step explanation:
12 times 2 is 24
24 times 10 is 240
Have a nice day
Answer:
240 [tex]Inches^{3}[/tex]
Step-by-step explanation:
A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which if the following represents the p value
Answer:
[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]
Step-by-step explanation:
Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
What is X in this equation?
Answer:
B) 44
Step-by-step explanation:
x + 54 + 82 = 180
x + 136 = 180
x = 180 - 136
x = 44
Evaluate the expression for x = 2 and y = 4 . (x ^ 5 * y ^ 7) / (x ^ 3 * y ^ 5) numbers only
Answer:
Answer is 64.
Step-by-step explanation:
524288/8192 = 64
Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept
x y
0 4
2 9
4 14
6 19
8 24
Answer:
See explanations below
Step-by-step explanation:
Using the coordinate points in the table (0, 4) and (2, 9)
Slope m = y2-y1/x2-x1
m = 9-4/2-0
m = 5/2
slope = 5/2
Get the y-intercept
Substitute m = 5/2 and (0,4) into y = mx+c
4 = 5/2(0) + c
4 = 0+c
c = 4
y-intercept is 4
Get the equation
Recall that y = mx+c
y = 5/2x + 4
Using another 2 points (2,9) and (4, 14)
Slope = 14-9/4-2
Slope = 5/2
Since the slope is the same for the coordinates, hence the the equation is correct
PLEASE HELP MEEEE OMG SOMEONE HELP ASAP AND ACTUALLY EXPLAIN THEIR ANSWER PLS PLS PLS IM DESPERATE
solve the exponential growth equation:
y=23,000(1+0.5)^35
Answer:
In the pic.
Step-by-step explanation:
Answer:
27386.718479
Step-by-step explanation:
Hope this helped!!!
Please help I kind of understand but not fully
Answer:
Graph #1 - y=-20x+40
Graph #2 - y=5x+10
Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use
M = y2-y1/x2-x1FROM GRAPH #1:
(3,40) (2,80)(x1,y1) (x2,y2)
80-40/2-3
20/-1
M = -20
FROM GRAPH #2:
(1,10) (3,20)(x1,y1) (x2,y2)
20-10/3-1
10/2
M = 5
2. Now once you find the slope you will use the equation of a line formula to form an equation.
y=mx+bThe (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)
3. Since we now know the equation of a line and the slope we will substitute the variables.
Graph #1:
y=mx+b
y=-20x+40
Graph #2:
y=mx+b
y=5x+10
HOPE THIS HELPS :)can you help me with this
Answer:
x = 18
Step-by-step explanation:
Sum of exterior angles of any polygon = 360
2x + 2x + 3x + 4x + 4x + 5x = 360
20x = 360 {Divide both sides by 20}
x = 360/20
x = 18
evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2
Answer:
5. is the answer
Step-by-step explanation:
Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.
Answer: 4 3/8 yards of wood
Step-by-step explanation:
It would be 5 times the ammount needed for one birdhouse so it would be-
7/8 x 5= 35/8 or 4 3/8
ok soo ima need help !! {re-posting this one}
question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48
Answer:
3:8
30/80
18 to 48
Step-by-step explanation:
3:8 (6 and 16 divided by 2)
30/80 (6 and 16 times 5)
18 to 48 (6 and 16 times 3)
A gumball machine consists of a base and a glass sphere. The gumballs are stored in the glass sphere. If each
gumball has a diameter of 1.5 inches, about how many gumballs can be stored in a gumball machine whose glass
sphere measures 10 inches in diameter?
Answer:
6 gumballs can be stored in the gumball machine.
Step-by-step explanation:
Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:
10 / 1.5 = X
6.666666 = X
Thus, 6 gumballs can be stored in the gumball machine.
Are these triangles similar? If yes, write a similarity statement.