Answer:
Step-by-step explanation:
abcd=540
2(5)9a=540
90a=540
a=540/90
a=6
Divide the following. Put your answer in
scientific notation.
(77) divided by (4.9 X10^6)
Answer:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
Step-by-step explanation:
Standard Notation:
122500 + 3655 = 1.26155 x 10 to the power 5
Scientific Notation:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
E Notation:
1.225e5 + 3.655e3 = 1.26155e5
The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function
Answer:
[tex]y = 1125x+30000[/tex] --- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990
[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006
Solving (a): Express as a function.
First, we calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{48000-30000}{16-0}[/tex]
[tex]m = \frac{18000}{16}[/tex]
[tex]m = 1125[/tex]
The equation is then calculated as:
[tex]y = m(x-x_1)+y_1[/tex]
This gives:
[tex]y = 1125(x-0)+30000[/tex]
Open bracket
[tex]y = 1125x-0+30000[/tex]
[tex]y = 1125x+30000[/tex]
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in [tex]y = 1125x+30000[/tex]
[tex]y = 1125*40 +30000[/tex]
[tex]y = 45000 +30000[/tex]
[tex]y = 75000[/tex]
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%
Answer:
Decreasing; 0.8%
Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
Help ME and plzz show your work thank you love
If /Il m, what is the value of x?
Answer:
x= 137 hope it helps have a nice day
Answer:
137
Step-by-step explanation:
180-43 (these two angles plug into all the angles)
Example 2: Identify the reference angle.
A)
135°
B)
260°
C)
310
Answer:
A) 45
B) 80
C) 50
Step-by-step explanation:
When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. This makes sense, since all the angles in the first quadrant are less than 90°.
When the terminal side is in the second quadrant (angles from 90° to 180°), our reference angle is 180° minus our given angle.
When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.
When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.
The temperature fell by 15 degrees Fahrenheit today.
Write a signed number to represent this temperature change.
We read this out as "negative 15" or you could write "negative fifteen".
The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.
For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.
At 8p.m., the temperature was -9 degrees Fahrenheit. Over the next five hours, the temperature dropped by 18 degrees. What is the temperature after five hours?
Answer:
-27 if im reading the question right.
Step-by-step explanation
Round the number 3,454,877 to the nearest 100,000.*
Answer:
3,500,000
Step-by-step explanation:
the ten thousands place is a 5 so you round the 4 up to a 5
AB = AD
Show that ABCD is a kite.
Give a reason for each stage of your working.
y - 4= -8 (x - 1)
linear or nonlinear?
Please help with this question ASAP
Answer:
B. 28/15
Step-by-step explanation:
7/3 x 4/5 = 28/15
At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?
Answer:
The sunflower's height when it was planted.
Step-by-step explanation:
The sunflower's height in inches, h, after weeks, is given by the equation :
h=2.5w + 19
We need to tell that what the number 19 represent in the equation.
If we put w=0, we get,
h=2.5(0) + 19
h = 19 inches
It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."
Explain 5 different ways you use Math in your everyday life.
This is a telpas thing btw
Answer:
School, Looking at what episode of anime I am on, Looking at the time, Looking at my calendar, and another is when I am doing brain teasers!
Step-by-step explanation:
Does this count?
Answer:
Time deltas
Step-by-step explanation:
What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8
4y=32+x
y=32+x/4
32+x/4=mx+8
32+x=4mx+32
32-32+x=4mx
x=4mx
x/:=4m
1=4m
m=1/4
y is inversely proportional to X.
When y
20, x = 2
Work out y when x = 5
Answer:
When x = 5, y = 8.
Step-by-step explanation:
y is inversely proportional to X.
This means that we solve this using the rule of three for inversely proportional variables, that is, we apply line multiplication instead of cross multiplication.
y = 20, x = 2
Work out y when x = 5
20 - 2
x - 5
Applying line multiplication
[tex]5y = 40[/tex]
[tex]y = \frac{40}{5}[/tex]
[tex]y = 8[/tex]
When x = 5, y = 8.
What is 5(4+6) x 6 =?
Answer:
300
Step-by-step explanation:
Write a plan to prove that angle 1 is congruent to angle 2
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?
Answer:
John is 1 decade, 2 years, and 4 months old
Step-by-step explanation:
Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...
(2/2) decades, (4/2) years, and (8/2) months old =
= 1 decades, 2 years, and 4 months old
John is 1 decades, 2 years, and 4 months years old.
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.
We have to given that;
There are 10 years in 1 decade.
And, Deron is 2 decades, 4 years, and 8 months old.
Since, His brother John is half as old.
Hence, Age of John is,
⇒ (2 decades, 4 years, and 8 months) / 2
⇒ 1 decades, 2 years, and 4 months
Thus, John is 1 decades, 2 years, and 4 months years old.
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Which statement is true based on the graph ?
Answer:
C: The speed increases from A to F
Step-by-step explanation:
Check each node A to F including A and F.
B is higher than A, C is higher than B, ...
This is true for all of them, so it is increasing.
The speed of the car is increasing in the time interval from point A to point F. Option C is correct.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
What is the graph?The graph depicts the relationship between the x and y axes through the use of curves.
Here,
The graph shows the speed and time relation of the car,
Where,
The speed of the car is increasing from A to F,
The speed of the car is decreasing from F to G,
The speed of the car is increasing from G to H,
The speed of the car is decreasing from H to K,
Thus, the car's speed increases over the time span from point A to point F. Option C is the right answer.
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what's the area of a triangle, rectangle, parallelogram
Answer:
Triangle Area = ½ × b × h b = base h = vertical height
Rectangle Area = w × h w = width h = height
Parallelogram Area = b × h b = base h = vertical height
Step-by-step explanation:
:)
Answer:
area
triangle = 1/2 x base x height
rectangle = base x height
parallelogram = base x height
Step-by-step explanation:
Shape p is translated to shape Q using vector (a b).
Please find A.
Photo attached.
Answer:
-7
Step-by-step explanation:
you basically just move across and because its moving to the left its a negative
Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..
What is translation of a graph?In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.
Given:
The shape P is mentioned on the graph is translated to shape Q.
So, the shape shifted 7 units to left.
and, the shape needs to shift downwards 4 places.
Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].
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IT DIVISION ITS NOT ADDING.
If y= cx" and dy/dx =
4/root x
what are the values of c and n?
Answer:
c = 8
n = 1/2
Step-by-step explanation:
Since dy/dx is the derivative form, we can integrate the answer to get the value of y.
The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).
It can be stated in terms of geometry as the slope of tangent of the function at a given point.
It is given as y = cxⁿ and dy/dx = 4/√x.
Take the derivative of y = cxⁿ with respect to x as,
dy/dx = cd(xⁿ)/dx
⇒ nc × xⁿ⁻¹
Compare the obtained derivative with 4/√x to obtain,
nc = 4 and n - 1 = -1/2
⇒ n = 1/2 and c = 8
Hence, the values of c and n are 1/2 and 8 respectively.
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3
8
8
1
.
2. I need help!!!!!
Answer:
3 7/8
Step-by-step explanation:
8 3/8 - 4 1/2 =
8 3/8 - 4 4/8=
7 11/8 - 4 4/8 =
3 7/8
Answer:
The person above is correct
Step-by-step explanation:
When subtracting fraction you should make sure the deniminators (bottom number of fraction) of both fractions are the same number so you can subtract evenly. Also note whatever you do to the deniminator, you do to the numerator (top number). In this example you turn 1/2 to 4/8 in order to subtract.
A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?
The commission (in dollars) did he earn last month is 540$.
We have given
A salesman earns 6% commission on all the merchandise that he sells.
Last month he sold $9000 worth of merchandise.
Salesman earns 6% =6/100=0 .06
What is the meaning of commission?
Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.
So we have to determine 6% of 9000
We can be written as
=0.06 x 9000,
= 540$
The commission (in dollars) did he earn last month is 540$.
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This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
ft²
Answer:
Step-by-step explanation:
Radius of semicircle = 2 ft
Area of semicircle = 0.5πr² = 0.5π2² = 6.28 sq ft
Area of rectangle = 10 × 4 = 40 sq ft
Total area = 46.28 sq ft
Answer:
46.28
Step-by-step explanation:
I have this question on a homework and don't know how to do It
Area of a triangle = 1/2 x length x height.
80 = 1/2 x (x+1) (2x-2)
Multiply both sides by 2:
160 = (x+1)(2x-2)
Expand the right side:
160 = 2x^2 -2
Add 2 to both sides:
162 = 2x^2
Divide both sides by 2:
81 = x^2
Take the square root of both sides:
x = 9
Now find the length of the s1des:
(x+1) = 9+1 = 10
2x-2 = 2(9) -2 = 18-2 =16
The shorter side is 10
Rafael plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:What is m?
Step-by-step explanation:
1 poin
Sylvia is going to buy a new jacket. The regular price is $68.00 and the
jacket is on sale for 25% off. There is a 15% sales tax on the jacket. How
much will Sylvia pay for the jacket? *
86.18
$85.00
$58.65
$61.20
Answer:
58.65 because I just know what the answer is