Answer:
2 50-pound bags
Step-by-step explanation:
[Conversions] 50-pound bags -> 800-ounce bags
[Total potatoes used] 200 mashed potato creations * 8 ounces of potatoes in each dish = 1,600 ounces of potatoes
[Bags used] 1,600 / 800 = 2 bags
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- Heather
Lola used 2 1/2 ink cartridges while her friends used 1 3/4 ink cartridges. How many more ink cartridges did Lola use than her friends
Answer:
Lola used 3/4 more ink cartridges than her friends
Step-by-step explanation:
What is the answer to this question |3y + 9| = 14
Step-by-step explanation:
|3y + 9| = 14
3y + 9 = ±√14
3y + 9 = ±3.742
3y = ±3.742 - 9
3y = - 5.258 or -12.742
y = -1.75267 or - 4.2474
Find f’ (x)
f(x)=7x^e - 5e^x
Answer:
\(f'(x)=7ex^{e-1}-5e^x\)
Step-by-step explanation:
Differentiation rules
\(\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $ax^n$}\\\\If $y=ax^n$, then $\dfrac{\text{d}y}{\text{d}x}=nax^{n-1}$\\\end{minipage}}\)
\(\boxed{\begin{minipage}{4.8 cm}\underline{Differentiating $e^{x}$}\\\\If $y=e^{x}$, then $\dfrac{\text{d}y}{\text{d}x}=e^x$\\\end{minipage}}\)
Given function:
\(f(x)=7x^e-5e^x\)
Differentiate with respect to x using the differentiation rules:
\(\implies f'(x)=e \cdot 7x^{e-1}-5e^x\)
\(\implies f'(x)=7ex^{e-1}-5e^x\)
Point K is on line segment JL. Given KL = 2x – 2, JL = 4x + 9, and
JK = 5x + 2, determine the numerical length of JL. i
Answer:
JL = 21
Step-by-step explanation:
Given that K is on line segment JL, therefore:
KL + JK = JL (according to segment addition postulate)
KL = 2x - 2
JK = 5x + 2
JL = 4x + 9
Thus:
\( (2x - 2) + (5x + 2) = (4x + 9) \)
Solve for x
\( 2x - 2 + 5x + 2 = 4x + 9 \)
\( 2x +5x - 2 + 2 = 4x + 9 \)
\( 7x = 4x + 9 \)
Subtract 4x from both sides
\( 7x - 4x = 4x + 9 - 4x \)
\( 3x = 9 \)
Divide both sides by 3
\( \frac{3x}{3} = \frac{9}{3} \)
\( x = 3 \)
Find the numerical length of JL
\( JL = 4x + 9 \)
Plug in the value of x
\( JL = 4(3) + 9 = 12 + 9 = 21 \)
Question 1
Write a conjecture that describes the pattern in the sequence, and then use the conjecture to find the next term in the sequence.
2,8, 32, 128,...
100 words remaining
Answer:
T5 = 512
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
T5 = 512
Hence the next term is 512
An artist is using blocks that are each 1 cubic centimeter. If he stacks twenty total layers of the cubes in the image, what will the total volume of the figure be?
Each block has a volume of 1 cubic centimeter.
This implies that the volume of the cubes shown in the image is:
\(1\times10cubes=10cm^3\)Hence, for twenty layers of the brick, the total volume will be 20 x 10=
\(200cm^3\)If f(1) = 160 and
f(n)=1/2f(n-1) what is f(5)?
Answer:
10
Step-by-step explanation:
\(f(n) = \frac{160}{ {2}^{(n - 1)} } \)
Answer:
This is 10
f(5) = 5f
QUICK PLS HELP
The mean number of typhoon hitting US follows a Poisson distribution with
variance 0.5 per month. Find the probability that
(a) 4 typhoons will hit US in a year.
(b) at least 2 typhoons will hit US in a given half-year.
Answer:
A) 0.1339
B) 0.8078
Step-by-step explanation:
The Poisson Distribution formula is given by;
P(x; μ) = (e^(-μ) × (μ^(x))/x!
We are given;
Variance = 0.5 per month
Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month
A) We want to find the probability that 4 typhoons will hit US in a year.
Thus, x = 4
But since it's for a year, then μ = 0.5 × 12 = 6
So;
P(x = 4) = (e^(-6) × (6^(4))/4!
P(x = 4) = 0.00247875 × 1296/24
P(X = 4) = 0.1339
B) probability that at least 2 typhoons will hit US in a given half-year is;
P(X ≥ 2) = 1 - P(X < 2)
P(X < 2) = P(X = 0) + P(X = 1)
In a half given year, μ = 0.5 × 6 = 3
P(X = 0) = (e^(-3) × (6^(0))/0!
P(X = 0) = 0.0498
P(X = 1) = (e^(-3) × (6^(1))/1!
P(X = 1) = 0.1494
P(X < 2) = 0.0498 + 0.1494
P(X < 2) = 0.1922
P(X ≥ 2) = 1 - 0.1922
P(X ≥ 2) = 0.8078
find the value of h(-67) for the function below
h(x)=-49x-125
if you multiply 5 and 2/5 x 6 what do you get (worth 15 points)
Answer:12
Step-by-step explanation:
=(5)*(2/5)*(6)
=12
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
Triangle RST with (2,0), s(-2,-3), and t(-2,3) reflected over the y axis. Find the coordinates and vertices
I
Step-by-step explanation:
The coordinates and vertices
which reflected over the y- axis are
r(-2,0) , s(2,-3) , and t(2,3).
Real-life Problems Question 6
The amount of money that Theresa has left is equal to £2,740.
How to write a linear equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:
Let the variable a represent cost of flights for each of them.
Let the variable f represent cost of accommodation for each of them.
Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;
y = 12(a + b)
y = 12(266 + 339)
y = £7,260
For the amount of money left, we have:
Amount of money left = £10,000 - £7,260
Amount of money left = £2,740.
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-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
\(\frac{2x}{2}\) = \(\frac{-12}{2}\)
x=−6
Felix has a gross income of $16,500. He is filing as Single. What is his total tax due?
Therefore , the solution of the given problem of unitary method comes out to be Felix's overall tax due is $395.
Unitary method: What is it?The task can be finished by applying what was learnt, making use of this access to the world, and fusing all essential components from earlier researchers who used a certain methodology. If the required claim outcome materialises, the entity stated expression in the statement can then either be additionally discovered or both important processes will absolutely miss the expression.
Here,
The tax brackets and rates for single taxpayers are as follows, per the IRS tax tables for 2021:
=> 10% of taxable earnings between $0 and $9,950
=> 12 percent of taxable income between $9,950 and $40,525
=> 22% of tax-exempt income between $40,525 and $86,375
=> 24% of taxable income between $164,925 and $86,375
=> over $164,925 to $209,425 in taxable income, 32%
=> over $209,425 to $523,600 in taxable income, 35%
=> above $523,600 in taxable income, 37%
Felix's yearly gross income is $16,500, and in 2021, the single filer standard deduction is $12,550. His taxable income is thus:
=> $16,500 - $12,550 = $3,950
Felix is subject to 10% tax because his taxable income is less than $9,950. Thus, the amount of his tax is:
=> 10% of $3,950 = $395
Hence, Felix's overall tax due is $395.
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The graph below shows the cost C for bowling g games at Strike King. Another bowling center, Thunder Alley, charges $2.25 per game.
At what point do the graphs of Strike King (shown) and the graphs of Thunder Alley (not shown) intersect? Explain why this is always the case for proportional relationships.
Answer:
They intersect when the Strike king is at (9,15.75) and Thunder Alley is at (7, 15.75). But only the X axes intersect. The X and Y axes intersect at (0,0) that's where they start and that is where they meet. Its a proportional relationship because their ratios are equivalent. It represents the constant of proportionality.
Step-by-step explanation:
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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1 euro is 1.07 dollars and £1 is 1.25 dollars how many euros are in £1
Answer:
1.18 i think
Step-by-step explanation:
Please answer!!!Thanks
The swim team trains 4 days every week on monday, tuesday and thursday. The swim team spends 1/2 hours in the gym followed by 1 1/4 hours in the pool. On saturday there is no gym but the swim time is doubled. How many hours per week does the swim team train?
Answer:
6 hours
Step-by-step explanation:
The swim team trains 4 days every week, with 1/2 hour in the gym and 1 1/4 hours in the pool on Monday, Tuesday and Thursday. On Saturday, there is no gym, but the swim time is doubled, so the total swim time is 2 1/2 hours.
Therefore, the total time spent training each week is 6 hours.
1/2 hour in the gym plus 5 1/2 hours in the pool.
Answer: The swim team trains for 7 hours and 45 minutes a week.
Step-by-step explanation:
Since the swim team trains in the gym and the pool (collectively) on Monday, Tuesday and Thursday, subsequently we will be multiplying GYM TIME + POOL TIME, 3 TIMES to get the time taken for training on the three days i.e. 3 ( ½ + 1 ¼ ) and add twice the time taken in pool for Saturday i.e. 2(1 ¼ )
= 3( ½ + 5/4) + 2(5/4)
=31/4
= 7 ¾
Multiply ¾ with 60 as 1 hour = 60 minutes to get the answer in time format.
Firstly, convert mixed fractions into improper ones and find the final answer. Then, convert the final answer into Time format i.e. hours and minutes.
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The parabola opens up, Axis of symmetry = 5, The quadratic have two solutions, x = 2 and x = 8 and And the vertex is a minimum.
What is symmetry?Any geometric shape is divided into two equal halves by the symmetry. For a quadratic equation in standard form, y = ax2 + bx + c, the axis of symmetry formula is given as x = -b/2a. The equation is x = h if the parabola is in vertex form, which is y = a(x-h)2 + k.
Axis of symmetry = -b / 2a
x = 10 / 2(1)
x = 5
As axis of symmetry is x = 5,
the parabola opens up
Given the equation is y = x² - 10x + 16
factorizing the equation,
x² - 10x + 16
x² - 8x - 2x + 16
x(x - 8) -2(x - 8)
(x - 2)(x - 8)
x = 2 or x = 8
There are 2 solutions of parabola.
From the given equation,
x² - 10x + 16
Using completing squares method,
⇒ x² - 10x + 16 + 25 - 25
⇒ (x - 5)² - 9
The value of vertex (h, k) = (5,-9)
The vertex is minimum.
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If $8000 is invested at an annual interest rate of 5% and compounded annually, what is the balance after 4 years?
Answer: 7 years
Step-by-step explanation:
We make the assumption that 8000 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $10\%=8000$.
Step 4: In the same vein, 100%=8000$.
So divide that by 5% 0.05%
Then multiply it by 5 0.0025%
Then convert it into money 26$
Sugar contains 15 calories per teaspoon. How many calories are in one cup?
Answer:
The answer is 540!
Step-by-step explanation:
3/4 of a cup would be (3/4)(48) = 36 teaspoons.
At 15 calories per teaspoon, that would be 15(36) = 540 calories.
Hope this helps!
Answer:761
Step-by-step explanation:
If you are looking for dietary calories HOPE THIS HELPS
If the present value of an item is P and we experience an inflation rate of r, which is compounded continuously, for t years, what will the future value of the item be?
P = $60
r = 4.75%
t = 5
Answer:
I think it is p= $60
mega movies hotel a fil premiere on Friday night. they charged $7 for adults and $5 for children. One hundred twenty-three adults and children attended, and $829 was made in ticket sales. How many children and how many adults went to the film premiere?
Answer:
107 adults 16 children
Step-by-step explanation:
can i get brainlest
Solve for x: 3x + 2 < 14 and 2 x-5> -11.
Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.
What is expressions or values?Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.
To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.
To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3
So x can be any number greater than -3 and less than 4
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Estimate the values of x when y=1
Step-by-step explanation:
if one were to put the y value the equation they could find out what x is for a certain value of y
putting the value of y(1), we get the equation
1=4x-1
2=4x
x=0.5
the value of x when y is 1 is =0.5
NOTE: I got this explanation on brainy on someone else I am not taking the credit
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
What is Linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The function is,
y = 4x - 1
Now, The graph of function y = 4x - 1.
And, At y = 1;
By the graph the value of x = 1/2.
And, In mathematically;
At y = 1
The value of x is;
y = 4x - 1
1 = 4x - 1
4x = 2
x = 2/4
x = 1/2
Thus,
a) The graph of y = 4x - 1 is shown in attached image.
b) By using the graph at y = 1 the value of x is 1/2.
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Ali opens his shop at 8:00a.m and closes at 9.00 pm. How long does the shop remains open?
Correct Answer:
Ali keeps his shop open for 13 hours straight.
Correct Step-by-step explanation:
Well that is that! Can't say anything about it....
It is simple babyish counting that you should learn too!
Hope this helped you count!
P.S: BRAINLIEST IS REQUIRED
Here is the histogram of a data distribution.What is the shape of this distribution?A.Unimodal skewed rightB.UniformC.Unimodal skewed leftD.BimodalE.Unimodal symmetric
Answer:
D. Bimodal
Explanation:
The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is
D. Bimodal.
Need this Answer Asap!
Sammy has $43.75 for her visit to the zoo. She must pay $9.25 for admission and wants to feed as many animals as she can. Food for the animals cost $2.75 each. What inequality represents the largest number of animal food that Sammy can buy?
2.75x + 9.25 < 43.75
9.25x + 2.75 < 43.75
9.25x + 2.75 < 43.75
2.75x + 9.25 < 43.75
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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