Answer:
Yes he's correct
Step-by-step explanation:
5 goes into both 10 & 25
10 divided by 5 is 2
25 divided by 5 is 5
So 2/5 is the lowest it'll go
Yes, Tony is correct.
Here,
Lila rewrote 10/25 as 40/100 and represented it with the given picture.
And, Tony thinks this fraction is also equal to 2/5.
We have to find that, Tony is correct or not.
What is Fraction?
Fractions represent the parts of a whole or collection of objects.
Now,
In this picture there are total 25 square and shaded squares are 10.
So, it can be written in form of fraction as;
\(Fraction = \frac{Number of shaded squares}{total number of squares} =\frac{10}{25}\)
Since, Lila rewrote 10/25 as 40/100 and represented it with the given picture.
And, Tony thinks this fraction is also equal to 2/5.
Then, we have to get the fraction = 10/25
After simplifying the fraction we get;
\(\frac{10}{25} = \frac{2}{5}\)
Hence, Tony is correct.
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Which multiplication expression does the model represent?
Answer: I think the answer is A. because it's 1/2 of 4 and it takes only one "quarter of the 4" all though it is split in half it still decared as a whole
Step-by-step explanation:
The multiplication expression represent the model is 1/2×4.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
In the given figure, there are 4 equal parts.
One part is divided into two equal parts.
1/2×4
Therefore, the multiplication expression represent the model is 1/2×4.
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Use the left-endpoint approximation to approximate the area under the curve of x2 f(x) +1 on the interval [–7, 1] using n = 4 rectangles. 10 = Submit your answer using an exact value. For instance, if your answer is enter this fraction as your answer in the response box. 10 then 3' Provide your answer below: Area unit?
The approximate area under the curve using the left-endpoint approximation with 4 rectangles is 228 square units.
The left-endpoint approximation is used to estimate the area under a curve by dividing it into rectangles and approximating the height of each rectangle using the left endpoint of each interval. In this case, we need to approximate the area under the curve of f(x) = x^2 + 1 on the interval [-7, 1] using 4 rectangles.
To calculate the width of each rectangle, we divide the total width of the interval by the number of rectangles: (1 - (-7)) / 4 = 2.
Next, we evaluate the function at the left endpoints of each rectangle and calculate the height: f(-7) = (-7)^2 + 1 = 50, f(-5) = (-5)^2 + 1 = 26, f(-3) = (-3)^2 + 1 = 10, f(-1) = (-1)^2 + 1 = 2.
Finally, we calculate the area of each rectangle by multiplying the width by the height and summing them up: 2*(50) + 2*(26) + 2*(10) + 2*(2) = 228.
Therefore, the approximate area under the curve using the left-endpoint approximation with 4 rectangles is 228 square units.
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Pls solve this simultaneous step by step :
3a + 2b = 6
3b - 2a =10
Answer:
Step-by-step explanation:
The simaltaneous equation are:
● 3a + 2b = 6
● 3b - 2a = 10
Graph both equations
While graphing use x instead of a and y insread of b in the graphing tool
The solutions are the coordinates of the intetsection point between the two lines.
The intersection point coordinates are approximatively (-0.15,3.2) picture below
Wich means:
● x = a = -0.15
● y = b = 3.2
Step-by-step explanation:
3a+2b=6
3b-2a=10
3a+2b=6 multiply by 3
-2a+3b=10 multiply by 2
9a+6b=18
-4a+6b=20 (-)
13a= –2. divide b.s by 13
a= –2/13
3b-2a=10
3b-2(-2/13)=10
3b+4/13=10
3b=10-4/13
3b=126/13. divide b.s by 3
b=42/13
What is 1 4/9 -6 8/9
twice a number is 24
a. 2- n = 24
b. 2 + n = 24
c. 2 / n = 24
d. 2n = 24
Answer:
the answers are
a)-22
b)22
d)12
Twice a number is 24
Answer :2n = 24
Solution :Let number = n
According to Question
2 × n = 24
\( \tt \implies 2n = 24\)
Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
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Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
To the nearest hundredth, what is the volume of the sphere? (Use 3.14 for л.) 48 mm mm ³
Answer:
Step-by-step explanation:
Volume of Sphere =4/3л\(r^{3}\) = (4/3)*3.14*48*48*48 = 463011 \(mm^{3}\) =46300
Consider the function represented by the table.
What is f(0)?
04
O 5
06
O 7
Answer:
6
Step-by-step explanation:
From the table given defining a function, the values of "x" on the table represents the input of the function, which gives us an output, f(x), which can be labelled as "y" in some instances.
Thus, the value of f(0), is simply the output value we would get, given an input value of "0".
So therefore, f(0) = 6. That is, at x = 0, f(x) = 6.
Answer: 6
Step-by-step explanation:
Each year, roughly 10^6 computer programmers each make about $10^5. How much money is this all together?
Express your answer both as a power of 10 and as a dollar amount.
Answer:
$ 10¹¹.
Step-by-step explanation:
From the question given above, the following data were obtained:
1 computer programmer makes roughly $ 10⁵ yearly.
Thus, we can obtain the total amount made by 10⁶ programmers yearly as illustrated below:
1 computer programmer makes roughly $ 10⁵ yearly.
Therefore, 10⁶ programmers will make = 10⁶ × $ 10⁵ = $ 10¹¹
Thus, total amount made by 10⁶ programmers yearly is $ 10¹¹.
The set of P({a,b}) (P({0,1})
The power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.P({a, b}) and P({0, 1}) are different sets.
The set of P({a,b}), also denoted as 2^{a,b}, represents the power set of the set {a, b}. The power set of a set is the set that contains all possible subsets of the original set, including the empty set and the set itself.
In this case, we have the set {a, b}, where a and b are elements of the set.
The power set of {a, b} is obtained by considering all possible combinations of elements from the original set.
The possible subsets of {a, b} are:
- The empty set: {}
- Individual elements: {a}, {b}
- The set itself: {a, b}
Therefore, the power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.
Now, let's consider P({0, 1}). Following the same process, we obtain the power set of {0, 1} as {{}, {0}, {1}, {0, 1}}.
Hence, P({a, b}) and P({0, 1}) are different sets.
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what’s the slope of the line?
Answer:
2/5
Step-by-step explanation:
From the two points we have marked, they are clearly 10 units apart from -5 to 5, and the change in the y-axis is 4. So the change between the two points is 4/10 (rise over run).
4/10 simplifies to 2/5.
please help!!!!! :(((
Answer:
tho im very confused what 1.25 means. im pretty sure its 1 1/4
63° X 50
Need ya'll help again
Answer:
Step-by-step explanation:
ok
x = 50sin(63) = 44.55
also are you allowed to use ur calculator
Answer: 44.55
Step-by-step explanation:
Please brainliest if possible.
What is a linear number equation ? I don’t understand
Answer:
How do you explain a linear equation?
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of linear equation is y=mx + b. "Linear equation."
Step-by-step explanation:
In mathematics, a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.
a rectangular horse pasture is bounded on one side by a stone wall and on the other three sides by a single wire strand of electric fence. using 400 feet of wire, what is the largest area, in square feet, that can be enclosed?
The rectangular horse pasture's largest area, in square feet, can be enclosed in \(80000m^{2}\)
Let the sides of the rectangle-shaped fence be a and b.
We have to use wire for the three sides of the fence.
\(a+b*2=800\)
Area A is given by
\(A=a*b\)
Also, we can write A as a function of b
\(A=A(b)\\=(800-2*b)b=800b-2b^{2}\)
Taking the derivative of A
\(A'=800-4b\\A'=0\\b=200m\)
Then the length of the other side
\(a=800-2*200\\=400m\)
The largest area
\(A=400*200\\=80000m^{2}\)
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What is the difference between the 15th and the 2nd square number?
Answer: \(15^{2} - 12^{2} \\= 81 = 9^{2}\)
PLSS help its math if m
Answer:
64
Step-by-step explanation:
the line BCD is a straight line, so angle BCA plus the angle ACD will add to 180. therefore 180 - 114 = 66.
all three angles in a triangle add to 180, so when angle A is 50 and angle C is 66, then 180 - 50 - 66 = 64
Answer:
m∠B = 64°
Step-by-step explanation:
We are told that m∠A = 50° and m∠ACD = 114°. We are then asked to find m∠B.
From the diagram, we can see the angles ACD and ACB lie on a straight line. Therefore, their measures add up to 180°. Hence:
∠ACD + ∠ACB = 180°
⇒ 114° + ∠ACB = 180°
⇒ ∠ACB = 180° - 114°
⇒ ∠ACB = 66°
∴ m∠C = 66°
We know that the angles inside a triangle add up to 180°.
Now that we know the measures of ∠A and ∠C, we can calculate m∠B:
∠A + ∠B + ∠C = 180°
⇒ 50° + ∠B + 66° = 180°
⇒ ∠B = 180° - 66° - 50°
⇒ ∠B = 64°
1 4 cm 4 cm 5 cm 3 cm Perimeter: Area:
Answer:
Step-by-step explanation:
840
help
now please
ASAP
To find the answer, you must first turn the fractions into decimals. 4 ÷ 5 = 0.8 ; 1 ÷ 2 = 0.5 ; 1 ÷ 10 = 0.1. Then you must subtract 0.5 from 0.8. Then add 0.1 to 0.3 .
Which point on the graph represents they-intercept
Answer:
Where's the graph kid sir?
Step-by-step explanation:
Answer:
The y-intercept on a sloped line is where the line crosses the y-axis. Taking a look at your graph, Find a point where the line crosses the y-axis.
I have a pool in shape of a rectangle with a length of 28 feet and a width of 14 feet. I also have the stairs that form a trapezoid with the measurements of a=4 feet and b=6 feet and the height is 2 feet. what is the total area of both shapes combined for the pool? *(rectangle area = A=b x h) *Trapezoid Area =A = 1/2 (a+b)xh
Answer:
Step-by-step explanation:
28x14x4x6x2+18816
The CEO has left the company, so the stock prices have changed. The price has changed from $120 per share to $90 per share.
Answer:
120-90
=30
the change in stock price is $30 per share
Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to
Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.
Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:
Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.
Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.
Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:
SA = 4π\((3)^2\)
SA = 4π(9)
SA = 36π
SA ≈ 113.1 square feet
Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.
Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:
V = (4/3)π\((3)^3\)V = (4/3)π(27)V = 36πV ≈ 113.1 cubic feetCalculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:
Turnover time = Volume / Flow rateTurnover time = 113.1 / (50/60)Turnover time ≈ 2.28 minutesUse these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.
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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.
Identify the y-intercept of the quadratic f(x)=4x^2-12x+25
Answer:
The y-intercepts of the quadratic are (0, 25)
Step-by-step explanation:
Hope I helped, have a good day
y is directly proportional to x. If y=15 when x=3,find y when x=30
Pls help
Answer:
150
Step-by-step explanation:
When y is directly proportional to x, y=kx and k=\(\frac{y}{x}\).
With the corresponding values we already know (3, 15), we can work out k.
k=\(\frac{y}{x}\), which is k=\(\frac{15}{3}\) or k=5 when using those values.
Now that we know k, we can use it in the equation y=kx to get y.
We can substitute x for 30, as that's what we are working out, and k for 5 (as worked out above) to get y=30×5, which can be solved to y=150.
**This content involves rates of change/direct and inverse proportions, which you may wish to revise. I'm always happy to help!
Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:
A)
3
B)
1
C)
4
D)
2
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
the qestion is the picture
Answer:
1. 3/9 = 45/15
2. 5
3. 3
4. 5
5. 7
Answer:
last option
Step-by-step explanation:
3/9= x/15 3*15=9*xThe last choice
-3 + (1 1/2) + (2 1/2)
prove if sum of second moments is finite then series converges almost surely math.stackexchange
The second Borel-Cantelli lemma, we have P(lim sup Sn < ∞) = 0, which implies that Sn converges almost surely.
Let {Xn} be a sequence of random variables, and let Sn = X1 + X2 + ... + Xn be the corresponding sequence of partial sums. We want to show that if E(Xn²) is finite for all n, then Sn converges almost surely.
Let Yn = Xn^2. Then E(Yn) = E(Xn²) < ∞ for all n, since we are given that the second moments are finite. By the second Borel-Cantelli lemma, it suffices to show that the series ∑ P(Yn > ε) converges for every ε > 0.
Since Yn = Xn² ≥ 0, we have P(Yn > ε) ≤ P(|Xn| > √ε). Using Markov's inequality, we have:
P(|Xn| > √ε) ≤ E(|Xn|²)/ε = E(Yn)/ε.
Therefore, we have:
∑ P(Yn > ε) ≤ ∑ E(Yn)/ε = (1/ε) ∑ E(Yn) = (1/ε) ∑ E(Xn²) < ∞.
The last inequality follows from the fact that the second moments are assumed to be finite.
Thus, by the second Borel-Cantelli lemma, we have P(lim sup Sn < ∞) = 0, which implies that Sn converges almost surely.
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0.8 as a percentage?
Answer:
0.8 = 80%
Details:
To write a number as a percetage, just multiply the decimal value by 100. In this case we have: 0.8 × 100 = 80% (answer).
➥ The ease way:
1) Shift the decimal point two places to the right:
0.8 → 8 → 80.
2) Add a percent sign: 80%
Answer: 80%
Answer:
8% sorry if I'm wrong but I'm pretty sure