Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.
x^-150 / x^-144
Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.
x^(-150 + 144)
x^-6
Hope this helps!
Answer:
so your answer is -6
Step-by-step explanation:
[tex]\frac{(x^2^5)^-^6}{(x^-^3)^4^8}[/tex] Did i write the equation right? If so you would multiply the exponents
x^-150 x^144
---------- so you then flip the two and get ----------
x^-144 x^150
then you would subtract the exponents like this 144-150= -6
Need help with adding these!! *prob easy I’m just not good* see photo!
Answer:
2x+8w
I hope this will help you
In Owen's class, there are 15 girls and 12 boys. Write the ratio of boys to girls.
Answer:
4 : 5
Step-by-step explanation:
boys : girls
12 15
Divide each by 3
12/3 : 15/3
4 : 5
Answer: 4:5
Step-by-step explanation:
To simplify the ratio 12:15, divide both numbers by the GCF of the 2 numbers (3). This gives you the simplified ratio, 4:5.
Given: `bar(DE)` and `bar(DF)` are midsegments of `Delta` ABC as shown. Prove: A midsegment of `Delta`ABC is half the length of the side of `Delta`ABC to which it is parallel. Match each statement to its corresponding reason. Scroll down to see all the choices. Drag the items on the left to the correct location on the right.
Answer:
here
Step-by-step explanation:
→WILL GIVE BRAINLIEST←
In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Complete parts (a) through (c) below.
a. How many of the 3149 subjects used at least one prescription medication?
(Round to the nearest integer as needed.)
b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.
(Round to one decimal place as needed.)
Answer:
a. 2,727
b. (85.6%, 87.6%)
Step-by-step explanation:
The percentage of the adults aged 57 through 85 that used at least one prescription medication = 86.6%
a. The expected number of the 3,149 subjects aged 57 through 85 that used at least one prescription medication = 3,149 × 86.6/100 = 2,727.034 ≈ 2,727 (subjects)
b. The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]
Where;
[tex]\hat p[/tex] = 86.6/100= 0.866
n = 3,149
z = The z-value at 90% confidence level = 1.645
Therefore, we get the following confidence interval of the percentage of adults (rounded to one decimal place as required);
[tex]\left (0.866 - 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}}\right) \times 100 \% \approx 85.6 \%[/tex]
[tex]\left( 0.866 + 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}} \right) \times 100 \% \approx 87.6 \%[/tex]
The 90% confidence interval, of the percentage C.I. ≈ (85.6%, 87.6%).
Question 1 of 10
Classify the following triangle. Check all that apply.
121
11
599
70
10
A. Equilateral
B. Obtuse
C. Isosceles
D. Scalene
E. Acute
OF Right
PREVIOUS
Answer:
Acute and scalene
Step-by-step explanation:
All the three interior angles of triangle are less than 90 then it is an acute triangle.
All the sides have different length then it is Scalene triangle. In Scalene triangle, all the sides have different length and so all the angles are of different
Explanation:
You have the right idea. The triangle is acute since all three angles are less than 90 degrees. The triangle is also scalene because all three sides are different lengths.
For a triangle to be equilateral, the three sides must be the same length. So we can rule out choice A.
We can rule out choice B since none of the angles are larger than 90 degrees. This contradicts choice E.
We can rule out choice C because we don't have exactly two sides the same length. This contradicts choice D.
We can rule out choice F because we don't have a 90 degree angle. This contradicts choice E.
HELP ME ASAP PLEASEEEEEEEE
Answer:
5 : -1.5
10: -4
y = 1 -.5x
noticed the pattern of subtracting .5 .... then plugged in x = 4
and saw that -2 had to be combined with "1" to end up with a "-1"
Step-by-step explanation:
The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve f divided by g of 3, and interpret the answer.
Correct question is;
The function f(x) = 6x + 8 represents the distance run by a cheetah in miles. The function g(x) = x − 2 represents the time the cheetah ran in hours. Solve (f/g)(3), and interpret the answer.
Answer:
26 is the cheetahs rate in miles per hour.
Step-by-step explanation:
We are given;
f(x) = 6x + 8
g(x) = x − 2
Thus;
f/g = f(x)/g(x)
> (6x + 8)/(x − 2)
Since we are looking for (f/g)(3), then we have;
> (6(3) + 8)/((3) − 2) = 26
Since f(x) is distance and g(x) is time, then, we know that distance/time = speed. Thus, the interpretation is 26 mph which is the speed of the cheetah.
Answer:
26; the cheetah's rate in miles per hour
Step-by-step explanation:
I just took the test
In a restaurant you are making a mix for a large batch of marinade that will go on some beef. The recipe calls for 12 gallons of water but you lost the gallon container and all you have left to measure is a bottle that is a quart. How many quarts would it take to make 12 gallons?
The length of xy (the minor arc) is 15 cm. What is the circumference of OZ?
O A. 94.2 cm
O B. 426 cm
O C. 180 cm
O D. 540 cm
O E. 360 cm
O F. 450 cm
Answer:450
Step-by-step explanation:
The correct answer is option (F) 450 cm
The formula to find the arc length of the circle:
For a circle with radius 'r' and the central angle 'θ' (in radians), an arc length 's' is,
s = r × θ
The formula of the circumference of the circle:C = 2 × π × r
We have been given that the length of xy (the minor arc) is 15 cm and angle = 12°.
⇒ θ = 0.209 radians
Let r be the radius of the circle.
xy = 15
⇒ r × θ = 15
⇒ r × 0.209 = 15
⇒ r = 71.77 cm
The circumference of the circle is,
C = 2 × π × r
⇒ C = 2 × π × 71.77
⇒ C = 450.95
⇒ C ≈ 450 cm
Therefore, the circumference of the circle is option (F) 450 cm
Learn more about circle here:
https://brainly.com/question/12832946
#SPJ2
Someone, PLEASE HELP! ):
Answer:
i dont see anything
Step-by-step explanation:
help me with finding distance pls
Answer:
5.7
Step-by-step explanation:
First find the coordinates of the points
A ( 2,2)
B ( -2,-2)
The distance is
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (-2-2)^2 + (-2-2)^2 )
= sqrt( (-4)^2 + (-4) ^2)
= sqrt( 16+16)
= sqrt( 32)
=5.656854249
To the nearest tenth
5.7
Answer:
5.65
Step-by-step explanation:
(2,2) (-2,-2)
√(x2 - x1)² + (y2 - y1)²
√(-2 - 2)² + (-2 - 2)²
√(-4)² + (-4)²
√(16) + (16)
√32
= 5.65
If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).
Answer:
5x-6
Step-by-step explanation:
f(x) = 2x + 3
g(x) = 3x - 9
f(x) + g(x) = 2x + 3 + 3x-9
= 5x-6
I NEEDDDD D HELPPPPP!!!
Answer:
70 degrees
Step-by-step explanation:
there are multiple ways, as all the trigonometric functions are related.
let's try it this way :
consider the missing side to be the radius of a circle.
then 41 would be the cos value of the angle (multiplied by that radius, of course).
so, let's calculate the missing side per Pythagoras
c² = a² + b² = 113² + 41² = 12769 + 1681 = 14450
c = 120.21
and now
41 = cos(?) × 120.21
cos(?) = 41/120.21 = 0.341...
? = 70.0576... ≈ 70 degrees
Answer:
70°
Step-by-step explanation:
tangent θ = (opposite side / adjacent side)
tangent θ = (113 / 41)
θ = arctan (113 / 41)
θ = 70.0576°
*Note: "arctan" is the same as "inverse tangent"
**Note: "soh-cah-toa" (and "cho-sha-cao" for sec, csc, & cot) is an easy mnemonic device to remember the trig functions (sin, cos, & tan) and their relations to the sides of a given angle.
Finding the missing length in a figure
Answer:
6 ft
Step-by-step explanation:
Use trigonometric identities to solve each equation within the given domain.
3 tan(x) = 2 sin(2x) from [0, 2π) PLEASE SHOW WORK!!!
Recall that the tangent function is defined by
tan(x) = sin(x)/cos(x)
Also recall the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x)
Then the equation is the same as
3 sin(x)/cos(x) = 4 sin(x) cos(x)
Move everything to one side to prepare to factorize:
3 sin(x)/cos(x) - 4 sin(x) cos(x) = 0
sin(x)/cos(x) (3 - 4 cos²(x)) = 0
As long as cos(x) ≠ 0, we can omit the term in the denominator, so we're left with
sin(x) (3 - 4 cos²(x)) = 0
and so
sin(x) = 0 or 3 - 4 cos²(x) = 0
sin(x) = 0 or cos²(x) = 3/4
sin(x) = 0 or cos(x) = ±√3/2
On the interval [0, 2π),
• sin(x) = 0 for x = 0 and x = π
• cos(x) = √3/2 for x = π/6 and x = 11π/6
• cos(x) = -√3/2 for x = 5π/6 and x = 7π/6
(None of these x make cos(x) = 0, so we don't have to omit any extraneous solutions.)
solve for x
pls this is for an assignment to get my credits i need this
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = 3/4x
h(x) = 1/4x
Answer:
Let the inverse of f(x) be h(x):
[tex]{ \tt{h(x) = \frac{1}{4x} }}[/tex]
Draw a plane, showing the three (non-linear) points that define it.
Draw a plane, showing the three (non-linear) points that define it.[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
(2x-3)(x-4)(3x-1)
How do u get the 35x2 and 47x?
Answer:
70 x 47x = 3290
.
. . . . . . . . . . ........
Answer: 6x^3-35x^2+47x-12
Step-by-step explanation:
(2x-3)(x-4)(3x-1)
=(2x^2-11x+12)(3x-1)
=6x^3-35x^2+47x-12
4(10x-4). PLEASE HELP
guys, please help i can't move on
Answer:
15
Step-by-step explanation:
32-19 = 13 that have both
70-57= 13 that have both again from that sample
total number of people that have both : 13 + 13 = 26
11 kids don't have either one, so :
26-11 = 15
Please help me with this question! And please provide answer in inequalities form! Thanks so much!
Answer:
Step-by-step explanation:
For this, we kind of have to test points to solve it. First, we can test theh interval x<= -2. Plug in -2 and we get a negative value which works. Next, let's try -2<x<0. Plug in -1 and get a positive value which doesn't work.
Next try 0<=x<=7. Plug in any number like 4 and get a negative value which works.
Finally, try x>7. Plug in 8 for example and you would get a positive value. So the solution is
x <= -2 OR 0 <= x <= 7
What is 20% of 10% of 1000
Answer:
20% of 10% of 1000 = 20
Step-by-step explanation:
Now we have to,
→ find the 20% of 10% of 1000.
Let's find 10% of 1000,
→ (10/100) × 1000
→ 0.1 × 1000
→ 100
Then 20% of 10% of 1000 is,
→ (20/100) × 100
→ 0.2 × 100
→ 20
Hence, the answer is 20.
A train leaves zurich at 2240 and arrives in vienna at 07 32 the next day workout out the time the train takes
Answer:
Total time taken by train = 8 hour 32 minutes
Step-by-step explanation:
Given:
Time train leave Zurich = 22:40 min
Time train arrives in Vienna = 07:32
Find:
Total time taken by train
Computation:
Total time taken by train = [23:60 - 22:40] + 7:32
Total time taken by train = 1:20 + 7:32
Total time taken by train = 8:52
Total time taken by train = 8 hour 32 minutes
Suppose f(x) = 6x2 + 2x - 7 and g(x) = 4x - 3. Find each of the following functions.
a.(f+g)(x)
b. (f-9)(x)
Hello,
Step-by-step explanation:
[tex]f(x)=6x^2+2x-7\\g(x)=4x-3\\(f+g)(x)=f(x)+g(x)=6x^2+2x-7+4x-3=6x^2+6x-10\\\\(f-g)(x)=f(x)-g(x)=6x^2+2x-7-(4x-3)=6x^2-2x-4\\[/tex]
f(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?
Answer:
Answer A: g(x) = (x + 4)² - 3(x + 4) - 2
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units left
f(x - n) - shift the graph n units right
f(x) = x² - 3x - 2.
shift 4 units left, f(x + 4) = (x + 4)² - 3(x + 4) - 2
Answer A: g(x) = (x + 4)² - 3(x + 4) - 2
[tex]52 - 6 \times 1 + 75 \times 3 \div 2[/tex]
....................................................
ASAP!!!
THANKS ........
Answer:
158.5
Step-by-step explanation:
= 52 - 6 × 1 + 75 × 3 / 2
= 52 - 6 + 75 × 3 ÷ 2
= 52 - 6 + 112.5
= 46 + 112.5
= 158.5
Answer:
The solution is 158,5
Step-by-step explanation:
52-6×1+75×3÷2
= 52-6+75×3÷2
= 46+225÷2
= 46+112,5
= 46+112,5
= 158,5
How would you describe the difference between the graphs of f(x) = x^2 +4 and
g(y) - y^2 +4?
Answer:
Step-by-step explanation:
The function [tex]f(x)=x^2+4[/tex] is a positive upwards opening parabola with the vertex at (0, 4), whereas
the function [tex]g(y)=y^2+4[/tex] is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.
What is 4 5/8 x 9 8/9???
Answer:
3293/72
Step-by-step explanation:
change to improper fraction to times.
3uq. when u = 2 and q=6
Answer:
[tex]3uq \\ 3 \times 2 \times 6 \\ = 36[/tex]
Answer:
[tex]36[/tex]
Step-by-step explanation:
[tex]3uq \\ = 3(2)(6) \\ = 36[/tex]
Hope it is helpful....