9514 1404 393
Answer:
24m^14
Step-by-step explanation:
It looks like you want to simplify ...
[tex]1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}[/tex]
__
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
Solve the inequality for x
8^x>24
Answer:
Step-by-step explanation:
Remark
I hope you have some idea how to make your calculator use logs. This problem is impossible without being able to take the log of each side.
Solution
log(8)^x > log 24 Logs lets you bring down x and multiply it by log24
x log 8 > log 24 Be careful what you do next. Don't use log 3
x > log(24)/log(8)
x > 1.3802/0.9031
x>1.5284
As wrong as this may look, it is correct.
Check it
8^1.5284 = 24.00395
The difference is that 1.5284 has been rounded just a slight bit.
Kim has $260 in her checking account. She deposits $39. Then she writes a check for $58. How much is left in Kim's account?
Answer:
241
Step-by-step explanation:
260+39-58=241
Find the volume. Answer without units. *
2
4- in
5
3 in
3
16 - in
4
Answer:
the answer is 221.1
Step-by-step explanation:
The volume of the rectangular prism is 221.1 in³.
What is volume?The volume of any object defined the capacity of it, how much it can hold something is called its volume.
Given is rectangular prism, we need to find the volume of the same,
So, we know that the volume of a rectangular prism is the product of its dimensions.
V = length × width × height.
[tex]V = 16\frac{3}{4} \times 4\frac{2}{5} \times 3[/tex]
[tex]V = \frac{67}{4} \times \frac{22}{5} \times 3[/tex]
V = 4422/20
V = 221.1
Hence, the volume of the rectangular prism is 221.1 in³.
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The designer sketched a model of the pond. The model drawing had a circumference of 24 inches. What is the AREA of the model she drew? Show your work. Round your answer to the nearest tenth.
Answer:
Area of model pond = 45.6 inch² (Approx.)
Step-by-step explanation:
Given:
Circumference of circular pond = 24 inches
Find:
Area of model pond
Computation:
Circumference of circle = 2πr
Circumference of circular pond = 2πr
24 = 2[22/7][r]
Radius r = [24 x 7] / [2 x 22]
Radius r = 3.81 inch (Approx.)
Area of circle = πr²
Area of model pond = πr²
Area of model pond = (22/7)(3.81)²
Area of model pond = [3.1428][14.5161]
Area of model pond = 45.6 inch² (Approx.)
Part B Which of these statements are true? Choose all that apply. . А More than 20% of girls and more than 20% of boys chose math as their favorite subject. Fewer than 30% of girls and fewer than 20% of boys chose English as their favorite subject. с Fewer than 20% of girls and fewer than 20% of boys chose history as their favorite subject. D More than 20% of girls and more than 30% of boys chose science as their favorite subject B
What is the slope of the line that passes through the points (3,2) and (-1,-4)? Write your answer as a fraction in simplest form
Answer:
Slope: -1/2
Step-by-step explanation:
Take a look at the slope formula
2-(-4)/3-(-1)
=-2/4
=-1/2
a plane departs an airport and mistakenly travels due west at 500mph for 30 minutes. the pilot realizes that the correct destination (airport b) was actually 600 miles away at a bearing of 60 degrees west from airport a. how far is the airplane from its original destination now?
Answer:
403 miles
Step-by-step explanation:
500 mph is 500 miles per hour
30 minuites is half an hour, so that is 250 miles west
60 degrees west, 600 miles away
so it is a triagle of 30 60 and 90.
600 is the hypotenuse of the 30 60 90 triangle
we need to find the height of the 30 60 90 triangle
using the special rule, the height is 300
the length of the 30 60 90 triangle is 300rt3
so 300rt3 - 250 is the length of another triangle.
height is still 300
hypotenuse is the distance of the actual area minus the plane's current position
(300^2 + (300rt3-250)^2)^1/2 is about 403.351433
Suppose an arithmetic sequence has a common difference of -5. What is the next term after 105?
Answer:
- 525Step-by-step explanation:
[tex]a_{n+1}=a_n\cdot r[/tex]
So, if the common ratio is -5 the next term is always (-5) times the previous term.
105·(-5) = - 525The worlds heaviest lobster weighted 44 pounds 6 ounces. What is the lobsters weight in ounces. Explain your thinking
Answer:710
Step-by-step explanation:
An amount of $5,000 is invested. The interest rate is 3%. What is the amount earned in one year?
Answer:
$150
Step-by-step explanation:
To solve this we first must find what 3% is in decimal form. Move the decimal to the left 2 spots. 3% -> 0.03
Then multiply...
5000 · 0.03 = 150
Answer:
$5,152.08
a = p (1 + r/n)^nt
HELPPP ASAP 10 POINTS
Answer:
43 degrees
Step-by-step explanation:
The two angles are supplementry because they form a 90 degree angle so you would subtract 47 from 90 to get 43 degrees.
Answer: 43
Step-by-step explanation: 47+ 43 = 90. since x is a vertical angle it is 43.
O que é a forma canónica de uma função?
Answer:
Qualquer função booleana que é expressa como uma soma de mintermos ou como um produto de maxtermos é considerada em sua forma canônica. Para converter de uma forma canônica para outra, troque os símbolos Σ e Π e liste os números de índice que foram excluídos da forma original.
Step-by-step explanation:
espero que isto ajude
Você pode, por favor, marcar minha mente
e tenha um ótimo dia:)
A bulletin board is 96 inches long and 412 feet wide. What is the perimeter, in inches, of the bulletin board?
In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 8 m? Enter your answer in the box.
Answer:
16
Step-by-step explanation:
In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)
The hypotenuse of the 30-60-90 triangle whose shorter leg is 8 m is: 16 m.
What is the 30-60-90 Triangle?The 30-60-90 triangle is a right triangle whose hypotenuse length is always twice the length of the its shorter leg.
Given a 30-60-90 triangle whose shorter leg is 8 m long, therefore:
Hypotenuse of the 30-60-90 triangle = 2(length of the shorter leg)
Hypotenuse of the 30-60-90 triangle = 2(8)
Hypotenuse of the 30-60-90 triangle = 16 m.
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I'LL GIVE BRAINLIEST PLS ANSWER THIS!! QUICK PLEASEEE
Answer:
your answer is 40 percent
Step-by-step explanation:
can i get brainly
2. Let u = <4, 8>, v = <-2, 6>. Find u + v. (1 point)
Answer:
u+v = (4,8)+(-2,6)
=(4-2, 8+6)
=(2, 14)...This is the required answer.
Choose the correct symbol
Answer:
[tex]2,000lb < 1 t[/tex]
Step-by-step explanation:
1 Ton = 2,240 lb
There is a 4 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 40 times?
Can someone help me with this problem?
Answer:
a) 2
b) 3
c) 1
hope this helps :)
Simplify the following expression by combining like terms.
Answer:
5p + 2w + 2
Step-by-step explanation:
Answer for brainliest no files
Answer:
Step-by-step explanation:
B
Answer:
D. Mia drives 2 miles per day more than Joseph
Step-by-step explanation:
Joseph drives 227.5 miles in 5 days
So, his unit rate = 227.5/5= 45.5 miles per day
Mia drives 332,5 miles in 7 days
So, her unit rate = 332.5/7= 47.5 miles per day
Difference =47.5 - 45.5 = 2 miles per day
So,
Mia drives 2 miles per day more than Joseph.
Find the percent of the number. 140% of 60 is
100% of 60 = 60
100%=60
140% of 60 = x
140%=x
60/x = 100/140
(cross multiplication)
x = 84
140% of 60 = 84
A point is reflected across the x-axis. The new point is located at (4.75, -2.25) Where was the original point located.
Answer:
(4.75, 2.25)
Step-by-step explanation:
Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)
Note that the y coordinate was negated.
Let the original point needed be (x, y)
If the new point is located at (4.75, -2.25)
Since the y coordinate was negated, then;
-y = -2.25
y = 2.25
x = 4,75 (x coordinate remains the same)
Hence the original point is (4.75, 2.25)
Help me with these questions
Answer:
A is the correct Answer
Step-by-step explanation:
hope that helps
Answer:
igual es lo mismo
Step-by-step explanation:
hope that help
Write a number y divided by 6 as an expression.
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
help me out thank you so much whoever does!!
Answer:
oh wait i got it! those are oppisite from eachother so theyre angle is the same. the answer would be 59°
Answer:
b=59º
Step-by-step explanation:
Vertical angle theorem states that if angles are vertical, they are congruent.
can someone please help me with this
which quadratic equation has two solutions or zeros
15.
Which number is a solution of the inequality?
x(7 – x) > 8
A. 0
B. 2
C. –1
D. 8
Answer:
B
Step-by-step explanation:
2(7-2) > 8
2(5) > 8
10 > 8 true
Can someone please help me :) ❗❗❗❗❗
Answer:
the third option
Step-by-step explanation:
when X is negative f(x) is positive. and when f(x) is negative x is positive
PLease answer ill give brainlest
Answer:
12
Step-by-step explanation:
1.5 cups a person
1.5 x 8 is 12