Answer:
3 * 10 ^3
Step-by-step explanation:
Divide the numbers
3.9 / 1.3
3
Subtract the powers of 10
10^5 / 10^2 = 10 ^ (5-2) = 10^3
The result is 3 * 10 ^3
[tex] \frac{3.9 \times {10}^{5} }{1.3 \times {10}^{2} } \\ = \frac{3.9}{1.3} \times {10}^{5 - 2} \\ = 3.0 \times {10}^{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
f(x) = 275
1. Find the inverse of f(x) and its domain.
Answer:
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
Step-by-step explanation:
f(x) = 1/(x+5) -1
y = 1/(x+5) -1
Exchange x and y and solve for y
x = 1/(y+5) -1
x+1 = 1/(y+5)
Multiply by (y+5)
(x+1) (y+5) = 1
Divide by (x+1)
y+5 = 1/(x+1)
Subtract 5
y = 1/(x+1) -5
X cannot be -1 because the denominator would go to zero
I just need the answer to this, you don't need to show your work :)
Answer: [tex]g(x) = -\frac{4}{x+5}+4[/tex]
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]
What is the following product?
Answer:
D
Step-by-step explanation:
(5√2 - 4√3)^2 =
50 + 48 - 40√6 = 98 - 40√6
After draining 8 gallons from a tub of water
, there were still 12 gallons left
How many gallons of water were in the tub to start?
Answer: 20
Step-by-step explanation:
X - 8 = 12
+ 8 +8
X = 20
20 gallons were in the tub to start with
Mrs. Dominguez asked her students to plot the number of books they read over the summer
Answer: Count the dots located on the blot labeled at 2.
There are 6 dots, which mean 6 students read 2 books.
The answer is 6.
Step-by-step explanation:
Plot each angle on the unit circle below. You will need to draw additional radius segments
○ 0, 30, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330
Determine the radian measure for each angle
Determine the Sin, Cos, Tan for each angle
Use 0 as an example
Upload your completed circle in the dropbox provided.
Solution :
Trigonometric angles :
The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.
Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.
You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50
represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.
(Choose 2)
Answer:
Options (1) and (4)
Step-by-step explanation:
Given equation for the deposit in the saving account is,
y = 20x + 50
Here, y = Amount of money in the account
20 = money added in the account every month
50 = Initial deposit
By comparing this equation with the slope-intercept form of the equation of a line,
y = mx + b
Here, slope m = money added in the account every month
And b = y-intercept
Therefore, Options (1) and (4) will be the answer.
kindly would like help please :,)
Answer:
B. 57
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.
y + y = 114
2y = 114
y = 57
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
[tex]1= x^2 - 6x[/tex]
Required
The perfect number
The coefficient c of x in the above equation is:
[tex]c = -6[/tex]
Divide by 2
[tex]c/2 = -3[/tex]
Square both sides
[tex](c/2)^2 = 9[/tex]
Hence, the constant to add is:
[tex]k = 9[/tex]
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
please show steps!!
Answer:
x = 0, π/3, 2π/3, π, 4π/3, 5π/3
Step-by-step explanation:
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
x
The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
so, we get,
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
Hence, The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ2
Help me solve this probelm please
Answer:
C.
Step-by-step explanation:
[tex]{ \tt{(8x + 3) + (2x + 7) = 180 \degree}} \\ { \tt{10x + 10 = 180}} \\ { \tt{10x = 170}} \\ { \tt{x = 17}}[/tex]
[tex]{ \bf{ \angle Q = (2x + 7)}} \\ { \bf{ \angle Q = (2 \times 17) + 7}} \\ { \bf{ \angle Q =41 \degree }}[/tex]
(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)
Answer:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}
1+cosθ=2cos
2
2
θ
= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos
2
2
(A−B)
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
=RHSRHS
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
Which of the following pairs of functions are inverses of each other?
OPTION C is the correct answer.
What is the area of the triangle? A) 6 squared inches B) 7 1/2 square inches. C) 10 square inches. D) 12 square inches
Answer:
A) 6 square inches.
Step-by-step explanation:
A(Triangle) = 1/2bh
b = base length
h = height length
A(Triangle) = 1/2(4)(3) = 6
Therefore, the area of the triangle is 6 in².
What is the answer I need help ASAP be truthful
Answer:
your closest number should be A
Answer:
A.√99
Step-by-step explanation:
10^2 = 100
Or vise versa √100 = 10
The closest number to 100 is 99
So √99 is closest to 10
please help! see question below :)
Answer:
I have no clue sorry bro.
Did I do this right?
Answer:
it must be yes!
Step-by-step explanation:
help plsssssssssssssssssss
Answer:
The equation is:
y=5x-2
Answer:
write -3+6^x
Step-by-step explanation:
ur answer is true actually just don't write 'y='
I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)
Answer:
This is a negative correlation
Step-by-step explanation:
The graph tells us that as time passes on, less strawberries/Quarts are picked.
Can you answer this math homework? Please!
Answer:
1. (2.2, -1.35) and (2.2, -1.4)
2. y = 8x - 7
3. infinite number of solutions
4. (2.2,-1.4) (2.2,-1.35)
5. 6
6. (1.33,1)
Step-by-step explanation:
Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
(show your work)
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
Find the slope of the line passing through the pointg (7, 1) and (7, - 2).
slope:
Answer: No slope / undefined
Step-by-step explanation:
Concept:
Here, we need to know the idea of a slope.
The slope is the measure of the steepness of a line.
The basic formula of slope is [Rise / Run] which is basically [Y] value (vertical) over [X] value (horizontal)
If you are still confused, please refer to the attachment below for the full formula.
Solve:
(7 ,1)
(7, -2)
Slope = (1 - (-2)) / (7-7)
Slope = (3) / 0
Slope = Undefined
Indeed, it is a vertical line. By definition, a vertical line has no slope.
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?
What is the area of the garden?
Answer:
15 feet width of actual garden
360 feet^2 is area
Step-by-step explanation:
Scale in drawing:
width : length
5 : 8
Actual Meausrements:
x: 24
Actual Width = 5:8
x : 24
8x = 24 x 5
8x = 120
120/8 = 15
Area of garden= lxw
15 x 24
= 360 feet^2
Answer from Gauthmath
THIS HURTS MY HEAD SO I CANT FOCUS, PLEASE HELP!
find the missing part of the pattern:
69388966938896?988963
Answer:
6
Step-by-step explanation:
Helen determined she walks about 1,800 steps per 5 of a mile. How many steps did she take if she walked 5 miles?
Answer: Most likely 6,750 steps
Select the correct location in the expression.
Consider this expression.
4x^4-6x^3+6x+3/x-3
Which term in the quotient of this expression contains an error?
Answer:
78
Correct term:60
Step-by-step explanation:
We are given that
[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]
The quotient of this expression is given by
[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]
We have to find the term in this expression which contains an error.
[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]
The quotient of this expression is given by
[tex]=4x^3+6x^2+18x+60[/tex]
[tex]Dividend=Divisor\times quotient+ remainder[/tex]
Using the formula
[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]
We can see that in the given expression there is 60 in place of 78.
The error in the expression of quotient is 78.
Correct term is 60.
HELP PLEASE HURRY
THANKS
Answer:
Step-by-step explanation:
Given TVW,MZV = 90°, TV = 14, and VW= 9,
which of the following choices is used to find mZW?
here's the answer to your question
what is the sum of the first 5 terms of a geometric series with a sub 1 = 10 and r = 1/5?
Answer:
12.496
Step-by-step explanation:
a=10 (first term)
r= 1/5 (common ratio)
sum of first five terms
[tex] s_{5} = \frac{a( 1 - {r}^{n} ) }{1- r} [/tex]
=10{1-⅕⁵} ÷ 1-⅕
=10{1 - 1/3125} ÷ 4/5
=10{3124/3125} ÷ 4/5
=9.9968÷0.8
=12.496.
OR
a+ar+ar²+ar³+ar⁴
=10+(10x⅕)+(10x⅕²)+(10x⅕³)+(10x⅕⁴)
=10+2+0.4+0.08+0.016
=12+0.48+0.016
=12.496