so 40 * 80 = 3,200
4 * 8 = 32
Then add the two 0's to the end
so 3,200
Answer:
The best way to solve 40x80 using mental math is to break down the problem.One example would be to solve 4x8 then add the two zeros to your answer to get 3200.
Step-by-step explanation:
What will be the graph of the derivative of a quadratic function?
1. a parabola
2. a straight line
3. a point
The graph of the derivative of a quadratic function will always be a straight line.
A quadratic function is a a function of degree 2 or an equation in which the highest power of any variable in the equation is 2. The derivative of a function denotes the sensitivity to change of the given function with respect to a change in its argument.
When we differentiate any quadratic equation to find its derivative, we get a linear equation, or an equation with degree 1. The graph of a linear equation is a straight line. Thus, the graph of the quadratic equation will also be a straight line. This will hold for all quadratic functions.
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Find three consecutive
integers whose sum is 351
Help please
Answer:
116, 117, 118
Step-by-step explanation:
Consecutive numbers are numbers that come after each other, such as 1, 2 and 3.
Find the expressions for the integers:
Let the smallest integer be x.
2nd integer= x +1
3rd integer= x +1 +1= x +2
Form an equation:
x +x +1 +x +2= 351
Solve for x:
3x +3= 351
3x= 351 -3
3x= 348
x= 348 ÷3
x= 116
Find the other 2 integers:
2nd integer= 116 +1= 117
3rd integer= 117 +1= 118
Hence, the three consecutive integers are 116, 117 and 118.
diameter of the circle whose radius is given
a) 3.5cm
ill give brainlest help please
Answer:
it's c i did this a week ago
please answer this i’ll give brainliest
CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??
Step-by-step explanation:
slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.
y=mx+b
the y-intercept is always be so graphing is now easy
put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical
now to make a equation for a point you put it in y=mx+b.
please mark me brainliest if this helped
In 2000, the enrollment at a college is 20,700 students. Each year, the enrollment decreases by 300 students. Let f(t) represent the enrollment at t years since 2000. Find an equation for f.
I will give Brainliest!!!!
Answer:
f(t) = -300t + 20,700
Step-by-step explanation:
2000 is the starting year, so 20,700 is our y-intercept or our constant.
Each year, represented by t, student enrollment decreases by 300. This is the slope of the equation.
Emily is a pharmacist. She earns $45.80 per hour. If she works on a holiday, she gets paid double the
hourly rate. Last week she worked for 38 hours and 8 of those hours on a holiday. Emily's salary is her only
source of income.
If her net income was $1,783.62, then how much was her payroll tax?
Her payroll tax was $
Help what is 95.28 ➗ 1.2
Answer:
79.4
Step-by-step explanation:
Answer:
You know a calculator is a thing, right?
Anyways though, the answer is 79.4.
Step-by-step explanation:
write down the relation between mass and inerti
Answer:
The mass of an object is directly proportional to its inertia.
[tex]m\alpha I[/tex]
Where
m = mass
I = inertia
Step-by-step explanation:
We can first of all start by defining the two key terms present here - mass and inertia.
The mass of an object is the quantity of matter contained in the object.
The inertia of an object is the resistance of an object which is in a state of rest to motion
The mass of an object is directly proportional to its inertia.
The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.
A farmer outside of Clinton NC plants 20 plots of a new type of corn. The average yield for these plots is ī= 150 bushels per acre. Assume that the yield
per acre for the new viety of corn follows a normal distribution with
unknown mean and standard deviation of 20 bushels. Find a 95% confidence
interval.
A. 20 + 3.2
B. 150 +2.5
C. 150 +3.2
D. 150 +4.3
Answer:
The 95% confidence interval is [tex](150\pm 8.8)[/tex].
Step-by-step explanation:
The information provided is:
[tex]\bar x=150\\\sigma = 20\\n=20[/tex]
The critical value for 95% confidence level is:
[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]
Compute the margin of error as follows:
[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8[/tex]
Then the 95% confidence interval is:
[tex]CI=\bar x\pm MOE[/tex]
[tex]=150\pm 8.8[/tex]
Thus, the 95% confidence interval is [tex](150\pm 8.8)[/tex].
What is the slop of the line that contains the points (0,1)and(-2,-9).write your answer as a friction in simplest from (hint:2/1 should be simplified to 2
Answer:
5
Step-by-step explanation:
To find the slope we will use the slope formula:
[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]
They give us the points of (0,1) and (-2,-9) in the equation. Let's label each thing to fit the equation:
y2 = -9
y1 = 1
x2 = -2
x1 = 0
Now, plug it all in to the equation:
[tex]\frac{-9-1}{-2-0} = \frac{-10}{-2} = 5[/tex]
Therefore, the slope is 5.
I hope this helps!!
- Kay :)
Help with this one? Please
Answer:
x = 40
Step-by-step explanation:
The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:
[tex] \frac{24}{24 - 15} = \frac{x}{x - 25} [/tex]
[tex] \frac{24}{9} = \frac{x}{x - 25} [/tex]
Cross multiply
[tex] 24(x - 25) = 9(x) [/tex]
[tex] 24x - 600 = 9x [/tex]
Subtract 24x from each side
[tex] - 600 = 9x - 24x [/tex]
[tex] - 600 = -15x [/tex]
Divide both sides by -15
[tex] 40 = x [/tex]
x = 40
WILL GIVE BRAINLIEST IF CORRECT!!
Coco flips a penny, a nickel, and a quarter. Each coin is fair (meaning that heads and tails are equally likely to come up). What is the probability that at least one of the coins comes up heads?
Enter your answer as a fraction in simplified form.
Answer:
7/8
Step-by-step explanation:
Using the binomial distribution, it is found that there is a [tex]\frac{7}{8}[/tex] probability that at least one of the coins comes up heads.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
A coin is fair, hence p = 1/2.Three coins are thrown, hence n = 3.The probability that at least one of the coins comes up heads is given by:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.\left(\frac{1}{2}\right)^{0}.\left(\frac{1}{2}\right)^{3} = \frac{1}{8}[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = \frac{8}{8} - \frac{1}{8} = \frac{7}{8}[/tex]
[tex]\frac{7}{8}[/tex] probability that at least one of the coins comes up heads.
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Between what two integers does square root of 40,020 lies
Answer:
20 and 21
Step-by-step explanation:
20.04 is the square root and is between 20 and 21
you add all the prime numbers between 2 and 33 and then multiply it by itself what you get?
Answer:
24964
Step-by-step explanation:
hope this works : ) - btw this is not including 2 and 33
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answer:
[tex]x = y = z = 20[/tex]
Step-by-step explanation:
Given
[tex]Volume = 8000cm^3[/tex]
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
[tex]S = 2(xy + xz + yz)[/tex]
Volume of a box is:
[tex]V = xyz[/tex]
Make z the subject
[tex]z = \frac{V}{xy}[/tex]
Substitute 8000 for V
[tex]z = \frac{8000}{xy}[/tex]
Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]
[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]
[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]
Expand:
[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]
[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]
Differentiate S w.r.t x
[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]
Differentiate S w.r.t y
[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]
Equate both differentiation to 0
[tex]2x - \frac{16000}{y^2} = 0[/tex]
Multiply through by [tex]y^2[/tex]
[tex]2xy^2 - 16000 = 0[/tex]
[tex]2xy^2 = 16000[/tex]
Divide through by 2
[tex]xy^2 = 8000[/tex] -- (1)
[tex]2y - \frac{16000}{x^2} = 0[/tex]
Multiply through by x^2
[tex]2x^2y - 16000 = 0[/tex]
[tex]2x^2y = 16000[/tex]
Divide through by 2
[tex]x^2y = 8000[/tex] --- (2)
Divide (1) by (2)
[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]
[tex]\frac{x}{y} = 1[/tex]
[tex]x = y[/tex]
Substitute y for x in (1)
[tex]x^2y = 8000[/tex]
[tex]x^2 * x = 8000[/tex]
[tex]x^3 = 8000[/tex]
Take cube roots
[tex]x =20[/tex]
Hence;
[tex]x = y = 20[/tex]
Recall that:
[tex]z = \frac{8000}{xy}[/tex]
[tex]z = \frac{8000}{20 * 20}[/tex]
[tex]z = 20[/tex]
Hence, the dimension of the box that minimizes the surface area of the box is:
[tex]x = y = z = 20[/tex]
Can somebody explain this?
Answer:
2x-1+y
---------- (meant to be a fraction line)
2x+y+1
Answer:
[tex] \frac{2 x - 1 + y }{2x + y + 1} [/tex]
Step-by-step explanation:
In the expression:
[tex] \frac{4 {x}^{2} - {y}^{2} - 4x + 1 }{4 {x}^{2} - {y}^{2} - 2y - 1 } [/tex]
Reorder the terms
[tex]⟹\frac{(4 {x}^{2} - 4x + 1) - {y}^{2} }{4 {x}^{2} - {y}^{2} - 2y - 1 } [/tex]
Rewrite the expression
[tex]⟹ \frac{(2x {)}^{2} - 2 \times 2x + {1}^{2} - {y}^{2} }{ {4x}^{2} - {y}^{2} - 2y - 1 } [/tex]
Factor the expression
[tex]⟹ \frac{(2x - 1 {)}^{2} - {y}^{2} }{4 {x}^{2} - {y}^{2} - 2y - 1 } [/tex]
[tex]⟹ \frac{((2x - 1) + y)((2x - 1) - y)}{4 {x}^{2} - {y}^{2} - 2y - 1} [/tex]
Reorder terms
[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x}^{2} + ( - {y}^{2} - 2y - 1} [/tex]
Factor greatest common factors out
[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x}^{2} - ( {y}^{2} + 2y + 1) } [/tex]
Rewrite the expression
[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x}^{2} - ( {y}^{2} + 2y + {1}^{2}) } [/tex]
Factor the expression
[tex] \frac{((2x - 1) + y)((2x - 1) - y)}{ {4x }^{2} - (y + 1)} [/tex]
I'm sorry for breaking but it's a very long explanationSimplify the quantity 12 minus three fifths times the square root of 25 end quantity squared plus the quantity 2 minus 4 end quantity squared
Complex numbers are written in the form of a+ib and the simplified form of the expression is 58 which is a real number.
Complex number
Complex numbers are square root of negative numbers. For instance;
√-1 = i
Given the equation
(2 + √-25)(4 - √-100)
From the given expression
√-25 = 5i
√-100 = 10i
Substitute
(2+5i)(4-10i)
Expand
2(4) -2(10i) + 5(4i) - 5i(10i)
8 - 20i + 20i - 50i²
8 - 50(-1)
8 + 50
58
Hence the simplified form of the expression is 58
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please answer I will give Brainly , look at the picture I genuinely don’t understand
Answer:
See explanation
Step-by-step explanation:
66: Frequency: 2
Relative Frequency: 2/30=1/15
67: Frequency: 2
Relative Frequency: 2/30=1/15
68: Frequency: 2
Relative Frequency: 2/30=1/15
69: Frequency: 3
Relative Frequency: 3/30=1/10
70: Frequency: 6
Relative Frequency: 6/30=1/5
71: Frequency: 6
Relative Frequency: 6/30=1/5
72: Frequency: 2
Relative Frequency: 2/30=1/15
73: Frequency: 5
Relative Frequency: 5/30=1/6
74: Frequency: 2
Relative Frequency: 2/30=1/15
1 and 1/4 - 1/3=
please give the right answer
Answer:
11/12
Step-by-step explanation:
15/12-4/12= 11/12
Answer:
11/12
Step-by-step explanation:
5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4
15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well
11/12 subtract
Factor $25u^2 - 36v^2.$ pls help will give brailiest too who is right!
Answer:
25u2−36v2
Step-by-step explanation:
Maybe I am right search the answer to check me
Answer:
(5u + 6v)(5u - 6v)
Step-by-step explanation:
25u^2 - 36v^2
25u^2 is the square of 5u.
36v^2 is the square of 6v.
This is the difference of two squares.
The difference of two squares follows this pattern.
a^2 - b^2 = (a + b)(a - b)
25u^2 - 36v^2 = (5u + 6v)(5u - 6v)
Sidney took a cash advance of $150 by using checks linked to her credit card account. The bank charges a cash advance fee of 2 percent on the amount borrowed and offers no grace period on cash advances. Sidney paid the balance in full when the bill arrived.
The cash advance fee for the credit card account is $3.00
What is the basis for computing cash advance fee?
The basis for determining the cash advance fee is on the amount borrowed not that 2% is charged annually on the credit card account, in other words, the cash advance fee in this case is the cash advance multiplied by the advance fee of 2% as shown explicitly below:
cash advance fee=cash advance*cash advance fee %
cash advance=$150
cash advance %=2%
cash advance fee=$150*2%
cash advance fee=$3.00
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Full question:
Sidney took a $150 cash advance by using checks linked to her credit card account. The bank charges a 2 percent cash advance fee on the amount borrowed and offers no grace period on cash advances. Sidney paid the balance in full when the bill arrived.
What was the cash advance fee? (Round your answer to 2 decimal places.)
help me please i need help
Answer: yes they are equivalent
Step-by-step explanation: When you distribute both equations, you end up with 5m-10.
Factor the expression completely over the complex numbers. X^4-81
Answer:
that person above me is correct give me brainiest to troll them tho lol
Step-by-step explanation:
Which transformation
The following rigid transformations are done on each figure:
The figure B is the consequence of rotating figure A about the origin either 90° clockwise or 270° counterclockwise. (Correct choice: A)The figure B is the consequence of rotating figure A about the origin either 90° counterclockwise or 270° clockwise. (Correct choice: D)What kind of rigid transformation is done on the given figure?We find two pictures, each with one case of rigid transformation done on a polygon. Rigid transformations are transformations done on geometric loci such that Euclidean distance at every point of the loci are conserved.
If we consider that the Euclidean distance is the radial distance with respect to the origin of the Cartesian plane, then we find the rigid transformation corresponding to each case:
The figure B is the consequence of rotating figure A about the origin either 90° clockwise or 270° counterclockwise.The figure B is the consequence of rotating figure A about the origin either 90° counterclockwise or 270° clockwise.To learn more on rigid transformations: https://brainly.com/question/1761538
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could anyone pls help me with this geometry question? :)
thank you soo much for the help :)
Answer: 103 degrees
Step-by-step explanation:
**point M is the center point of triangle ABC since it intersects both bisectors of Angle A and B.
Angle AMB=Angle M
A/2=
58/2=29 ==> Angle bisector divide an angle by half.
B/2=
96/2=48
29+48+M=180 ==> AMB is a new triangle formed inside triangle ABC.
77+M=180
M=103 degrees
AMB=103 degrees
If you flip three fair coins, what is the probability that you'll get at least two heads?
Answer:
1/8
Step-by-step explanation:
I've done this before.
Write the equation of the line whose slope is 3 and passes through the point (5, 7). plz show work.
Two numbers each have one decimal place. Is it possible for their product to be a whole number? Explain.
Answer: No.
Step-by-step explanation: Unless the tenth place is a 0, a product of a 2 numbers with 1 decimal place cannot have a product for a whole number, even if you went on forever.
When two decimal places add up to one whole, the total of the two decimal places is a whole number. The addition of relocating the decimal point after the multiplication when multiplying decimals is the only difference between multiplying whole numbers and multiplying decimals.
What does the decimal number system mean?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.To learn more about decimal refer to:
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