Answer:
[tex]\sf 4.9 \times 10^{11}[/tex]
Step-by-step explanation:
Given expression: [tex]\sf (7 \times 10^5)^2[/tex]
Apply exponent rule [tex]\sf (ab)^2=a^2 \cdot b^2[/tex] :
[tex]\sf \implies 7^2 \times (10^5)^2[/tex]
[tex]\sf \implies 49 \times (10^5)^2[/tex]
Apply exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :
[tex]\sf \implies 49 \times 10^{5 \cdot 2}[/tex]
[tex]\sf \implies 49 \times 10^{10}[/tex]
Scientific notation: [tex]\sf a \times 10^n[/tex]
where [tex]\sf 1\leq a < 10[/tex] and n is an integer
We can write 49 as [tex]\sf 4.9 \times 10=4.9 \times 10^1[/tex]
[tex]\sf \implies 4.9 \times 10^1\times 10^{10}[/tex]
Apply exponent rule [tex]\sf a^ba^c=a^{b+c}[/tex]
[tex]\sf \implies 4.9 \times 10^{11}[/tex]
A simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.
Test-Static tData;
mean = 5.82s = 4.93n = 600Let's calculate the t-value
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
Substitute the values into the equation and solve;
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]
The t-value is 4.079.
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Learn more on t-test here;
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3/4 of ... is 12 I neeed your help please help me
Answer:
The number is 16.
Step-by-step explanation:
So we need to find 3/4 of a number to get 12.
We don't know what the number is, so we assign it a variable. We will assign the variable x and try to solve it.
We translate our problem into an equation. Since x is the variable and we multiply by 3/4, we get the value of 12, which is exactly what we are trying to do.
(3/4)(x) = 12
To solve, we multiply both sides by 4/3, because in order to solve for x (the variable), it needs to be separated and isolated from everything else.
(4/3) * (3/4)(x) = (4/3) * 12
4/3 * 3/4 = 1 and (4*12)/3 = 48/3 = 16
x = 16
The number is 16.
convert 30 g 519 mg to g
Answer:
30.519 g
Step-by-step explanation:
The relation
1 g = 1000 mgSolving
30 g 519 mg30 g + 519 mg30 g + (519/1000) g30 g + 0.519 g30.519 gi need help ill give uh 15?
Answer:
The answer is b- 1/4 = 4 3/4
Step-by-step explanation:
B stands for the total amount of chocolate bars they started with.
Gabby ate 1/4 of those chocolate bars.
4 3/4 of the chocolate bars were left after that.
So, total amount of bars - what Gabby ate = chocolate bars that are left
b - 1/4 = 4 3/4
What is the equation of a line with a slope of -3 and a y-intercept of 4?
O A. y= 4x+3
O B. y=-3x+4
O C. y = 4x-3
0 D. y = -3x - 4
Answer:
B. y=-3x+4
Step-by-step explanation:
slope always has the variable
Answer:
Step-by-step explanation:
hello :
an equation for the line is : y=ax+b when a is the slope
so : a= -3
y-intercept of 4 means x=0 y=4
Answer: B because x=0 y=-3(0)+4 = 4
PLEASE HELP, I'M BEING TIMED ;----;
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
196 ft cubed
Step-by-step explanation:
formula = ((bxh)/2) x length
so
7 x 7 = 49
49 / 2 = 24.5
24.5 x 8 = 196
Hope this helps! If you need further help, let me know!
- profparis
I just need some answers please with explanation if possible
Answer:
A'(0,4)
B'(6,-4)
C'(-2, -8)
Step-by-step explanation:
In order to scale a figure by a factor all you have to do is multiply each coordinate by the scaled number.
So in this case we'd take A(0,2) and then multiply the x-value and y-value by 2 to get A'(0,4).
Repeat this for each coordinate to get the answer!
Choose the expression that is equivalent to 7w2-3/5 (10m2 - 15w – 15) +2w
Answer:
The answer is C :)
Step-by-step explanation:
could someone help me factor trinomials super fast?
if you want extra points you could check out question before this
Answer:
A: (8x-5y)(x-y)
B: -(3s-5r)(4s+7r)
Step-by-step explanation:
Explanation is in photo.
~Hope thsi helps~
Answer:
a) (x - y)(8x - 5y)
b) (-4s - 7r)(3s - 5r)
Step-by-step explanation:
Hope this helps
Write an algebraic expression for the following word phrase.
The quotient of and x
The value of mathematical expression is,
⇒ 55 ÷ x
⇒ 55 / x
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.
Given that;
The word phrase is,
''The quotient of 55 and x.''
Now, The value of mathematical expression is,
''The quotient of 55 and x.''
⇒ 55 ÷ x
⇒ 55 / x
Therefore, The value of mathematical expression is,
⇒ 55 ÷ x
⇒ 55 / x
Learn more about the divide visit:
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A. 108
B. 792
C. 891
D. 126
Answer:
C. 891.
Step-by-step explanation:
This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.
Area of a triangle = 1/2 * base * height
Area of 1 triangle in this polygon = 1/2 * 12 * 16.5
Area of the polygon = 9 * 1/2 * 12 * 16.5
= 891
simplify 2/5+2/5-7/15
Answer:
1/3
Step-by-step explanation:
2/5+2/5-7/15
=2+2/5 -7/15
=4/5-7/15
=4×3-7/15
=12-7/15
=5/15
=1/3 Ans.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]
[tex]=\frac{4}{5} -\frac{7}{15}[/tex]
[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]
Simplified:
[tex]=\frac{1}{3}[/tex]
Hope this helps
-13x+2y=29 solve for y
Answer:
x = 2.38; substitute x to get yStep-by-step explanation:
solve for variable x.
move the term containing x to the left and the rest to the right.
add -2y to each side of the equation.
-13 +2y + -2y = 29 + -2y
combine like terms; 2y + -2y = 0
-13x + 0 = 29 + -2y
-13x = 29 + -2y
divide each side by -13 and then simplify;
x = -2.23 + 0.15
x = 2.38
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
EG = 6 in.
Step-by-step explanation:
EG is congruent to DF and DF is 6 in. so EG would be 6 in.
Answer:
6 in.
Step-by-step explanation:
DF's length is congruent ( same ) to EG's length which is shown by the one mark on each side
Since DF's length is 6 inches, EG's length is also 6 inches.
Therefore,the answer is 6 in( inches )
Hope this helps!
Please mark as brainliest!!!
Which product range generated the most profit over all???
Answer:
Blue label
Step-by-step explanation:
All that matters here is # of bottles sold * profit per bottle.
If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.
Among all the product ranges blue label generated the most profit of $5625.
What is profit?Profit is basically the difference between the total revenue and the total cost of the product.
Profit=Total Revenue- Total cost.
How to calculate profit?We know that Average profit= total profit/ number of units.
So the profit will be as average profits* number of units.
So the profit of product ranges will be =average profit * number of bottles.
Profit of red label=1.12*3000
=$3360
Profit of black label=1.5*2000
=$3000.
Profit of gold label=2.75*1000
=$2750
Profit of white label=1.20*2750
=$3300
Profit of blue label=2.25*2500
=$5625.
Hence among all the product ranges blue label has generated maximum profit.
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Can someone help I will mark u brilliant
Answer:
50
Step-by-step explanation:
We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.
Answer:
First, we must know the formula for the area of a circle.
The formula for the area of a circle is;
A = π[tex]r^{2}[/tex]Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.
Plug in what you know;R(radius) = 4 feet.
So,
A = π[tex]r^{2}[/tex]
Will be;
A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".
Simplify:-
A = 3.14(16)
A = 50.24 feet is the area.
The sum of the interior angle of a polygon is 1260 degrees. How many sides does the polygon have?
Answer: 9 sides
Step-by-step explanation:
If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.
180°(n-2) = 1,260°
n - 2 = 7
n = 9
Select all of the expressions that have a value of 18.
A) 324 ÷ 18
B) 468 ÷ 26
C) 724 ÷ 40
D) 1,062 ÷ 59
E) 1,071 ÷ 60
Pls show work!!
Answer:
A,B,C
Step-by-step explanation:
Just divide them hope this helps x
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
Right angle
Step-by-step explanation:
It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.
Find the slope of
the line.
[?]
Give your answer as
a fraction in simplest
form.
Answer:
hi
7/14
I am sure is that
Answer:
slope is 1/2
Step-by-step explanation:
we rise 1 and run 2 which gives up y=1/2x
A half circle has a radius of 20 ft, what is the area of the half circle?
Step-by-step explanation:
A = 0.5(πr^2 )
A = 0.5(π × (20^2 ))
A = 628.32 units^2
Answer:
628.3 ft
Step-by-step explanation:
area of half circle = [tex]\frac{\pi r^{2}}{2}[/tex]
= [tex]\frac{\pi *20^{2} }{2}[/tex]
= 200[tex]\pi[/tex] = 628.3 ft
divide 5/8 ÷ 3/4 please please please please please
Answer:
this answer is 0.83
Step-by-step explanation:
5/8 is 0.625, 3/4 is 0.75 and 0.625 divided by 0.75 is 0.83
Answer: 5/6
All you have to do is combine the two equations, like so [tex]\frac{5*4}{8*3}[/tex]
Multiply [tex]\frac{20}{24}[/tex]
Then simplify [tex]\frac{5}{6}[/tex]
The possible outcomes for rolling a pair of fair dice are shown below.
What is the probability of rolling a sum that is a prime number?
Answer:
5/12
Step-by-step explanation:
"When two dice are thrown, the total number of sample spaces is 36.
Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}
Total number of favourable outcomes = 15
Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."
This was taken from a Byjus post.
Hope this helps.
Evaluate the expression when a=-3 and c=5.
6c-a
Answer:
33
Step-by-step explanation:
We can plug in the values for a and c
[tex]6(5)-(-3)[/tex]
[tex]30-(-3)[/tex]
[tex]=33[/tex]
Therefore, the value of the expression is 33.
#LearnWithBrainly
Answer:
33
Step-by-step explanation:
Given values:
a = -3c = 51. Substitute the values in the expression
[tex]\implies 6c - a[/tex]
[tex]\implies 6(5) - (-3)[/tex]
2. Simplify the expression
[tex]\implies 6(5) - (-3)[/tex]
[tex]\implies 30 - (-3)[/tex]
[tex]\implies 30 + 3[/tex]
[tex]\implies 33[/tex]
What is the next fraction in this sequence? Simplify your answer 1/52 1/26 1/13 2/13
Answer:
4/13
Step-by-step explanation:
The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:
[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]
4/13 is our final simplified answer
I hope this helps!
A spherical ball has a radius of 2 ft what is the volume in cubic feet of the ball
The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]
r --> length of radius --> 2ft
Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]
The volume is 33.51 cubic feet
Hope that helps!
23. Your friend in Spain sends you a recipe. The directions say to pre-heat
the oven to 95°C. What is the temperature in degrees Fahrenheit?
(F = 1.8C + 32)
Answer:
203° F
Step-by-step explanation:
F = 1.8C + 32
F = 1.8 × 95 + 32
F = 203
How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.
Answer:
(-2,-2)
Step-by-step explanation:
Answer:
f(x)=(x+2)2−3 or (x−(−2)2−3
Step-by-step explanation:
Vertex form of equation is
f(x)=a(x−h)2+k
Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using
(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,
Write a Pseudo code for average speed
Answer:
SEQUENCE represents linear tasks sequentially performed one after the other.
WHILE a loop with a condition at its beginning.
REPEAT-UNTIL a loop with a condition at the bottom.
FOR another way of looping.
IF-THEN-ELSE a conditional statement changing the flow of the algorithm.
CASE the generalization form of IF-THEN-ELSE
Step-by-step explanation:
Always capitalize the initial word (often one of the main 6 constructs).
Have only one statement per line.
Indent to show hierarchy, improve readability, and show nested constructs.
Always end multiline sections using any of the END keywords (ENDIF, ENDWHILE, etc.).
Keep your statements programming language independent.
Use the naming domain of the problem, not that of the implementation. E.g., “Append the last name to the first name” instead of “name = first+ last.”
Keep it simple, concise, and readable.
What's the answer to 0.02x + 0.1 (6000) = 0.08 (x + 6000)
Answer:
X=2000
Step-by-step explanation:
[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]
[tex]0.02x + 600 = 0.08x + 480[/tex]
[tex]600 - 480 = 0.08x - 0.02x[/tex]
[tex]120 = 0.06x[/tex]
[tex]x = \frac{120}{0.06} [/tex]
[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]
[tex]x = \frac{120}{6} \times 100[/tex]
[tex]x = 20 \times 100 = 2000[/tex]
X=2000
−6146.153846154
Step-by-step explanation:
0.02x+6=0.8(x+6000)
0.02x+6=0.8x+4800
0.02x+6−0.8x=4800
−0.78x+6=4800
−0.78x=4800−6
−0.78x=4794
x=4794/-0.78
x=479400/-78
x=- 79900/13