Answer:
61300000000000000
Step-by-step explanation:
Multiplying 20,000,000,000,000 by 3,065 results in 61,300,000,000,000,000.
Write down the numbers in standard form:
2 x[tex]10^{13}[/tex] for 20,000,000,000,000 and
3.065 x 10³ for 3,065.
Multiply the two standard forms:
(2 x [tex]10^{13}[/tex]) * (3.065 x 10³).
Combine the powers of 10:
2 * 3.065 = 6.13 and
[tex]10^{13}[/tex] * 10³ = [tex]10^{16}[/tex]
The result is 6.13 x [tex]10^{16}[/tex]
In standard numerical form, this is 61,300,000,000,000,000.
So, 20,000,000,000,000 x 3,065 equals 61,300,000,000,000,000.
Complete Question:
Multiply 20000000000000 x 3065.
PLEASE HELP ME WITH THIS ASAP PLEASE HELP
Answer:
A
Step-by-step explanation:
A function maps one member in the domain ( x values ) to exactly one member in the range (y values ).
A is the only diagram representing this characteristic.
simplify ... 4xsquared x 4xsquared
Answer:
4X4=16
16X16=256
Step-by-step explanation:
Hi there! My name is Zalgo and I am here to provide you with your answer for today! So, 4x^2*4x^2 (4xSquared multiplied by 4xSquared) is quite simply. When you square a number, you are multiplying that number by itself (so, 4 times 4 equals 16). Once you have done that, you are left with 16 times 16. 16 multiplied by 16 is 256!
I hope that this answer helps! :D
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thank you! :3)
PLEASE HELP LOL!!!!!!
first off, we know the angles at vertices C and F are right-angles, meaning both triangles are right-triangles.
we also know that sides AC = DF and BC = EF.
now, for right-triangles, if the two shorter legs are congruent in both triangles, the triangles are congruent by the Leg Leg theorem, namely LL.
what is the Distance between (-4, -8) and (10, -8)??
Answer:
The distance between both points would be 14.
Step-by-step explanation:
The y coordinate or -8 stays the same for both points on a coordinate grid. However the x coordinate changes from -4 to 10, which is 14 places away on a coordinate grid. Therefore the distance between these two points is 14.
Answer:
14
Step-by-step explanation:
Use the distance equation:
d² = (x₂ − x₁)² + (y₂ − y₁)²
d² = (10 − -4)² + (-8 − -8)²
d² = 14² + 0²
d = 14
NEED HELP ASAP!
What is the value of x?
x =
The Intersecting Secant Theorem says
EC × ED = EB × EA
(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5)=(x+1)(x+12)
x^2 + 9x + 20 = x^2 + 13 x + 12
8 = 4x
x = 2
Check:
6(7)=42
3(14)=42, good
Answer: 2
Select the true statement.
A.
Only function g is even.
B.
Only function f is even.
C.
Neither function is even.
D.
Both functions are even.
Answer:
A.
Only function g is even
Option: A is the correct answer.
A. Only function g is even.
Step-by-step explanation:We know that the graph of a even function is such that both the ends of a graph points in the same direction and the graph of a odd function is such that both the ends of the graph points in the opposite direction.Also, the graph of the even function is symmetric about the y-axis .whereas the graph of the odd function is symmetric about the origin i.e. it has rotational symmetry about the origin.Here by looking at the graph we observe that the graph of function g satisfies the condition of even function.
( whereas the graph of function f is not symmetric about the y-axis and hence function f is not even )
Hence, the function g is an even function.
let h(x) = 2x + 5 and g(x) =8 - 3x. what is the value of h(g(1.5))?
Answer:
12
Step-by-step explanation:
g(1.5) is 8 - 3(1.5), or 8 - 4.5, or 3.5.
Then substitiute 3.5 for x in h(x) = 2x + 5: h(g(1.5)) = h(3.5) = 7 + 5 = 12
Your question asks what the value of h(g(1.5)) is.
Answer: 12To find the answer to your question, we're going to need to solve g(x) first, then plug in the answer from g(x) to h(x).
Lets solve:
We're going to plug in 1.5 to our "x" variables in the g(x) equation.
Your equation should look like this:
[tex]g(x)=8-3(1.5)[/tex]
Now, you solve:
[tex]g(x)=8-3(1.5)\\\\g(x)=8-4.5\\\\g(x)=3.5[/tex]
You should get 3.5
Once you're done solving g(x), we would plug in the answer we got from the G(x) equation into our h(x) equation.
Your equation should look like this:
[tex]h(x)=2(3.5) + 5[/tex]
Then, you solve:
[tex]h(x)=2(3.5) + 5\\\\h(x)=7+5\\\\h(x)=12[/tex]
Once you're done solving, you should get 12
This means that the value of h(g(1.5)) is 12.
12 should be your FINAL answer.
I hope this helps!Best regards, MasterInvestorWhy is the answer correct?
[tex]\bf x(2x+4x^2-5-3x)\implies x(\stackrel{\textit{like-terms}}{2x-3x}+4x^2-5)\implies x(-x+4x^2-5) \\\\\\ -x^2+4x^3-5x\implies \stackrel{\textit{general form}}{4x^3-x^2-5x}[/tex]
Answer:
Here's what I get.
Step-by-step explanation:
x(2x + 4x² - 5 – 3x)
1. Distribute the x
2x² + 4x³ - 5x - 3x²
2. Combine like terms
4x³ - 5x – x²
3. Write the expression in order of descending powers of x
[tex]\boxed{\mathbf{4x^{3} - x^{2} - 5x}}[/tex]
Determine the area of a triangle with (see picture below)
Answer: c. area ≈ 5 units²
Step-by-step explanation:
Step 1: Use Law of Sines to find b:
[tex]\dfrac{sinC}{c}=\dfrac{sinB}{b}\\\\\\\dfrac{sin44.9}{4}=\dfrac{sin107.3}{b}\\\\\\b=\dfrac{4sin107.3}{sin44.9}\\\\\\b=5.4[/tex]
Step 2: Use SAS formula to find the area of the triangle:
[tex]Area = \dfrac{1}{2}bcsinA\\\\\\Area=\dfrac{1}{2}(5.4)(4)sin27.8\\\\\\Area = 5.05[/tex]
I need help
Please solve
4(1 –3x) – 14 > 4(2x + 3) – 9x
Solve the inequality
Answer:
[tex]{\huge \boxed{X<-2}}[/tex]
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
Expand.
4(1-3x)-14=-12x-10
4(2x+3)-9x=-x+12
-12x-10>-x+12
Add by 10 from both sides of equation.
-12x-10+10>-x+12+10
Simplify.
-12x>-x+22
Add by x from both sides of equation.
-12x+x>-x+22+x
Simplify.
-11x>22
Multiply by -1 from both sides of equation.
(-11x)(-1)<22(-1)
Simplify.
11x<-22
Divide by 11 from both sides of equation.
11x/11<-22/11
Simplify, to find the answer.
-22/11=-2
x<-2 is the correct answer.
I hope this helps you, and have a wonderful day!
which of the following functions is graphed below
Answer: I suggest using desmos, since I can't help!! I can't see the function!!
Answer:
I'm sorry but there is no graph if you could take a picture I could try to help.
An exercise cube measures 27 in. on each side. What is its volume? a. 22, 785 in3 c. 18,659 in3 b. 19,683 in3 d. 17, 257 in3
Answer:
your answer is 19,683 in^3
Step-by-step explanation:
i don't know what the heck an exercise cube is, but hey, it's the world of real world problems
volume of a cube = side length ^ 3
= 27*27*27
=19,683 in^3
If the side of cube is 27 inches then the volume of cube is 19683 [tex]inches^{3}[/tex].
What is volume?The volume is the amount of substance a container can hold in its capacity. Substance can be liquid or solid. Volume of cube is side*side*side which can be written as [tex]side^{3}[/tex].
How to calculate volume?We have been given that the side of cube is 27 inches and we are required to find the volume of cube.
Volume=[tex]side^{3}[/tex]
Putting side=27.
Volume=[tex](27)^{3}[/tex]
=19683 cubic inches.
Hence if the side of cube is 27 inches then the volume of cube is 19683 [tex]inches^{3}[/tex].
Learn more about volume at https://brainly.com/question/463363
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Which expression is equivalent to
2x^2+2x-4/2x^2-4x+2
Answer: A is correct (x+2)/(x-1)
Step-by-step explanation:
Divide the top and bottom by 2, to simplify
[2(x^2+x-2)]/[2(x^2+2x+1)]
The 2's cancel each other out, since 2/2 would be 1.
Now factor (x^2+x-2)/(x^2+2x+1)
[(x+2)(x-1)]/[(x-1)(x-1)]
Now you can cancel out one of the (x-1) on top and bottom. All that's left is (x+2)/(x-1) which is your answer. Hope this helps!
What is the slope and the y-intercept of the line on the graph below?
The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?
From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.
This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).
Now we can see that either C or D is the answer.
To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.
Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.
Answer: OPTION C
(c) slope = Negative one-fourth, y-intercept = 1
slope = -1/4, y -intercept =1
Step-by-step explanation:
given the numbers 6, 8, 10, and 20, what number when added would make the average of all five numbers 12? 1. (4) 2. (10) 3. (16) 4. (22) 5. (28)
Answer:
16
Step-by-step explanation:
6+8+10+20=44+16= 60 divided by 5 is 12
Wayne needs to drive 470 miles to reach Milwaukee. Suppose he drives at a constant speed of 50 miles per hour. Which function represents Wayne’s distance in miles from Milwaukee in terms of the number of hours he drives?
A.
y = 420x
B.
y = 470 + 50x
C.
y = 50 − 470x
D.
y = 50 + 470x
E.
y = 470 − 50x
Let the number of hours driven equal x.
You would multiply the number of hours by his speed, so you would have 50x
You would then want to subtract that from the total miles to see how many more miles he needs to drive.
The answer would be E. y = 470 - 50x
What’s the area of a rectangle measuring 13 inches times 12 inches ?
Answer:
156 square inches
Step-by-step explanation:
We are given the two quantities
Let
length = l = 13 inches
and
Width = w = 12 inches
The formula for the area of rectangle is:
[tex]Area=l*w[/tex]
where l is length and w is width
Putting the values of both that are given
[tex]Area = 13*12\\=156[/tex]
so the area is 156 square inches ..
Write the equation of a circle that has a center at the origin and a radius with a length of 5 inches.
Answer:
[tex]x^{2}+y^{2}=25[/tex]
Step-by-step explanation:
we know that
The equation of a circle in standard form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
(h,k) is the center
r is the radius
In this problem we have
(h,k)=(0,0)
r=5 in
substitute
[tex](x-0)^{2}+(y-0)^{2}=5^{2}[/tex]
[tex]x^{2}+y^{2}=25[/tex]
a line passes through (1,-5) and(-3,7) write an equation for the line in point slope form rewrite the equation in slope intercept form
Answer:
y+5 = -3(x-1) point slope form
y = -3x-2 slope intercept form
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/ (x2-x1)
m = (7--5)/(-3-1)
= (7+5)/(-3-1)
= 12/-4
= -3
The slope is -3
Then we can use point slope form to write an equation
y-y1 = m(x-x1)
y--5 = -3(x-1)
y+5 = -3(x-1)
This is in point slope form
Distribute
y+5 = -3x+3
Subtract 5 from each side
y+5-5 = -3x +3-5
y = -3x-2
This is in slope intercept form
What equation represents an exponential function that passes through the point (2, 80)?
Answer:
[tex]f(x) = (4\sqrt{5})^{x}[/tex]
Step-by-step explanation:
The exponential function looks like the following: [tex]f(x) = b^{x}[/tex].
If the function passes through the point (2, 80), then:
[tex]f(x) = b^{x}[/tex] → [tex]80 = b^{2}[/tex]
Solving for 'b':
[tex]b = \sqrt{80}[/tex] →[tex]b=4\sqrt{5}[/tex]
Then, the equation of exponential function that passes through the point (2, 80) is: [tex]f(x) = (4\sqrt{5})^{x}[/tex]
Explain how to convert a fraction to a percent.
Answer:
Convert the fraction to a decimal number. The fraction bar between the top number (numerator) and the bottom number (denominator) means "divided by." ...
Multiply by 100 to convert decimal number to percent. 0.25 × 100 = 25%
Step-by-step explanation:
Answer:
Divide the numerator by the denominator to get a decimal. Then move the decimal 2 places to the right and add the percent sign.
what is the similarity ratio for two circles with areas 2pi m^2 and 200pi m^2
Answer:
The scale factor is equal to 10
Step-by-step explanation:
we know that
If two figures are similar. then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the larger circle
y ---> the area of the smaller circle
so
[tex]z^{2}=\frac{x}{y}[/tex]
we ahve
[tex]x=200\pi \ m^{2}[/tex]
[tex]y=2\pi \ m^{2}[/tex]
substitute
[tex]z^{2}=\frac{200\pi}{2\pi}[/tex]
[tex]z^{2}=100[/tex]
[tex]z=10[/tex]
therefore
The scale factor is equal to 10
The radius of the larger circle is 10 times greater than the ratio of the smaller circle
Please help I’m desperate for the answer
The domain is the input value of an equation/ graph, which is the X value.
The X value on a graph is the horizontal axis across the bottom.
The X-axis for this is the months, so the answer is The domain represents a 11-month period of flower production.
What is the slope of the graph? Leave your answer as a reduced fraction.
Slope =
Identify the y-intercept. Write as a coordinate.
y-intercept =
Write an equation in slope-intercept form for the graph above.
y=
Answer:
-¼ = Slope
[0, 2] = y-intercept
y = -¼x + 2
Step-by-step explanation:
Your y-intercept is [0, 2] and your x-intercept is [8, 0] (not all the time your x-intercepts will be endpoints)]. Simply do rise\run until you hit another endpoint, starting from your y-intercept. As you can see, you go two blocks south, then eight blocks over east, since in this case, you are moving by increments of 2. If you were to recreate this graph in increments of 1, you would see that the simplification of -2\8, is -¼. That is why the rate of change is -¼. Do you understand?
How many solutions does the following equation have?
-6(x + 7) = -4.x - 2
Answer:
x=-20
Step-by-step explanation:
Given
-6(x+7)= -4x - 2
First of all, we have to solve brackets
So,
-6x-42=-4x-2
To find the solution of this equation, we have to isolate x on one side of the equation.
Adding 4x on both sides
-6x-42+4x = -2-4x+4x
-2x-42 = -2
Adding 42 on both sides
-2x-42+42 = -2+42
-2x=40
Dividing both sides by -2
-2x/2 = 40/-2
x = -20
The equation has only one solution which is x=-20 ..
Which is the graph of g(x) = ⌈x + 3⌉? Image for option 1 Image for option 2 Image for option 3 Image for option 4
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]g(x)=\left|x+3\right|[/tex]
we know that
The graph is V-shaped
The vertex of the function is the point (-3,0)
The y-intercept is the point (0,3)
The graph in the attached figure
evaluate f(x)=-x^-4 for x=3
The answer would be -0.012345679.
The first thing you would do is substitute 3 in for x, seeing that you've told us x = 3. After you've substituted x, the equation would look something like:
f(3) = -3^-4. From here, all you have to do is solve! -3 to the power of -4 equals -0.012345679. Therefor, f(3) = -3^-4 equals -0.012345679
Answer:
- [tex]\frac{1}{81}[/tex]
Step-by-step explanation:
Using the rule of exponents
• [tex]a^{-n}[/tex] ⇔ [tex]\frac{1}{a^{n} }[/tex]
Hence
f(3) =- [tex]3^{-4}[/tex] = - [tex]\frac{1}{3^{4} }[/tex] = - [tex]\frac{1}{81}[/tex]
what is the product? 6(x^2-1) • 6x-1/6(x+1)
Konichiwa~! My name is Zalgo and I am here to help you out on this amazing day. I believe the answer that you would be looking for is (x-1) (6x-1).
I hope that this answer helps! :3
"Stay Brainly and stay proud!" - Zalgo
(By the way, do you mind marking me as Brainliest? I'd greatly appreciate it! Arigato~! XP)
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used
Match each situation to its corresponding expression.
Reading from top to bottom. Answers are as follows:
1. 7(2)^t
2. 3000(0.93)^t
3. 300(1.015)^t
4. 300(0.985)^t
We know that the exponential function is given by:
[tex]f(x)=ab^x[/tex]
where a is the initial amount.
and b is the change in the amount and is given by:
[tex]b=1+r[/tex] if the function is increasing by a rate of r
and [tex]b=1-r[/tex] if the function is decreasing by a rate of r.
a)
The initial amount of fish in the trout are: 7
i.e. a=7
Also, the population doubles every year.
This means that that b=2
Hence, the population after t years is given by the function P(t) as:
[tex]P(t)=7(2)^t[/tex]
b)
The original amount of the machine is: $ 3,000
i.e. a=3,000
Also, the value of machine decreases by a rate of 7%
i.e.
[tex]r=7\%\\\\i.e.\\\\r=0.07[/tex]
Hence, we have:
[tex]b=1-r\\\\i.e\\\\b=1-0.07\\\\i.e.\\\\b=0.93[/tex]
Hence, the function which represent the price of the machine after t years i.e. P(t) is given by:
[tex]P(t)=3000(0.93)^t[/tex]
c)
The initial population of colony of ants i.e. a=300.
The number of ants increases at a rate of 1.5% every month.
i.e. [tex]r=1.5%\\\\i.e.\\\\r=0.015[/tex]
i.e.
[tex]b=1+r\\\\i.e.\\\\b=1+0.015\\\\i.e.\\\\b=1.015[/tex]
Hence, the function P(t) which represents the population of ants after t months is given by:
[tex]P(t)=300(1.015)^t[/tex]
d)
The initial infected cells i.e. a=300
The infected cells are decaying at a rate of 1.5% per minute.
i.e.
[tex]r=1.5%\\\\i.e.\\\\r=0.015[/tex]
Since, there is a decay hence,
[tex]b=1-r\\\\i.e.\\\\b=1-0.015\\\\i.e.\\\\b=0.985[/tex]
Hence, the function P(t) which represents the number of infected cells after t minutes is given by:
[tex]P(t)=300(0.985)^t[/tex]
PLEASE QUICK!Parallelogram ABCD has a base measuring 4 cm and an area greater than 14 cm. Which inequality represents all possible values of h, the height of the parallelogram? Will mark brainliest, thank, and rate to best answer! QUICK!
Answer:
[tex]4h> 14\ cm^{2}[/tex]
Step-by-step explanation:
Let
b -----> the base of parallelogram
h ----> the height of parallelogram
we know that
The area of parallelogram is equal to
[tex]A=bh[/tex]
[tex]A> 14\ cm^{2}[/tex]
so
[tex]bh> 14\ cm^{2}[/tex]
substitute the value of b
[tex]4h> 14\ cm^{2}[/tex] ---->inequality that represents all possible values of h
Answer:
The answer is D
Step-by-step explanation: