Step-by-step explanation:
7.1
7⅒(C).
hope this helps you.
Which digit is the hundred place in the number of 742.891
Answer:
7
Step-by-step explanation:
if you meant hundredths it would be 9, but 7 is in the hundreds place
Find the volume of the rectangular prism
Answer:
What are the given dimensions of the rectangular prism? We need more info in order to help you in the best way possible. If you could provide more info about the question in the comments below, I'd be more than happy to take a look and see what I can do to help.
Thanks!
SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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The British government on Thursday estimated the cost of
hosting the 2012 Olympics in London at 9.3 billion pounds,
nearly four times initial projections. When Britain won the
Olympics in 2005, the Games were expected to cost 2.4 billion
pounds.
Actually, the projections increased by
percent,
not 400%.
the Olympics in 2005, the were expected to cost 2.4 billion pounds. What was the actual increase?
The actual increase in the cost to host the Olympics is 287.50%.
What are percentages?
Percentage is the fraction out of an amount expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.
What was the percentage increase?Percentage increase = (increase in cost / initial cost) x 100
Increase in cost = 9.3 billion - 2.4 billion = 6.9 billion
Percentage increase = (6.9 / 2.4) x 100 = 287.50%
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Find Matrix mixed questions
The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)
We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)
a) \((a^2 - b^2)\)
We can write the transpose of this matrix as
\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.
b) (A+B)(A-B)
Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)
Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)
Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.
c) ABA
Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
d) ABAB
Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)
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Using the substitution P=1/x and Q=1/y.
solve the simultaneous equation 2/x + 1/y=3 and 1/x - 5/y=7
Step-by-step explanation:
\(2p + q = 3 \\ p - 5q = 7 \\ \\ multiply \: the \: second \: equation \: by \: 2 \\ 2p - 10q = 14 \\ 2p - 10q - (2p + q) = 14 - 3 \\ 2p - 10q - 2p - q = 11 \\ - 11q = 11 \\ q = - 1 \\ \\ 2p + q = 3 \\ 2p - 1 = 3 \\ 2p = 4 \\ p = 2\)
Ana spends K8.00 per week. How much will she spend for 21 days?
Ana will spend K23.94 for 21 days.
To calculate how much Ana will spend for 21 days, we need to determine the cost per day and then multiply it by the total number of days.
Since Ana spends K8.00 per week, we can find the daily cost by dividing the weekly cost by the number of days in a week.
Cost per day = K8.00 / 7 days = K1.14 (rounded to two decimal places)
Now, we can calculate how much Ana will spend for 21 days by multiplying the cost per day by the total number of days.
Total spending = K1.14 * 21 days = K23.94
Therefore, Ana will spend approximately K23.94 for 21 days.
It's important to note that we rounded the cost per day to two decimal places. In real-life scenarios, Ana may have to pay the nearest whole currency amount per day. Therefore, the actual total spending might differ slightly depending on the rounding or any variations in the daily cost.
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100 Points!!! Algebra question, multiple choice. Only looking for an answer to #8. Find the maximum value of f(x,y)=3x+y for the feasible region. Photo attached. Thank you!
Answer:
+4
Step-by-step explanation:
F(x,y) = 3x+y and y <= -2x+ 4 sub in for 'y'
= 3x + (-2x+4)
= x + 4
If you look at the graph for y <= - 2x+4 ( see below)
you will see that the domain (x values ) can only go from 0 to 4 and the max value is +4 ( rememeber too that y is restricted to >= 0 as is x )
Differentiate y=sin x using first principles
Answer:
\(\dfrac{\text{d}y}{\text{d}x}=\cos(x)\)
Step-by-step explanation:
Differentiating from First Principles is a technique to find an algebraic expression for the gradient at a particular point on the curve.
\(\boxed{\begin{minipage}{5.6 cm}\underline{Differentiating from First Principles}\\\\\\$\text{f}\:'(x)=\displaystyle \lim_{h \to 0} \left[\dfrac{\text{f}(x+h)-\text{f}(x)}{(x+h)-x}\right]$\\\\\end{minipage}}\)
The point (x + h, f(x + h)) is a small distance along the curve from (x, f(x)).
As h gets smaller, the distance between the two points gets smaller.
The closer the points, the closer the line joining them will be to the tangent line.
To differentiate y = sin(x) using first principles, substitute f(x + h) = sin(x + h) and f(x) = sin(x) into the formula:
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{\sin(x+h)-\sin(x)}{(x+h)-x}\right]\)
Use the sin addition formula to expand sin(x + h).
\(\boxed{\sin(A + B) = \sin A \cos B + \cos A \sin B}\)
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{\sin(x)\cos(h)+\cos(x)\sin(h)-\sin(x)}{(x+h)-x}\right]\)
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{\sin(x)\cos(h)-\sin(x)+\cos(x)\sin(h)}{h}\right]\)
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{\sin(x)(\cos(h)-1)+\cos(x)\sin(h)}{h}\right]\)
Separate the sin(x) and cos(x) terms into two fractions:
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{\sin(x)(\cos(h)-1)}{h}+\dfrac{\cos(x)\sin(h)}{h}\right]\)
When h gets really small, we can use the small angle approximation to rewrite cos(h).
\(\boxed{\cos (h) \approx 1-\dfrac{1}{2}h^2}\)
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{\sin(x)\left(1-\dfrac{1}{2}h^2-1\right)}{h}+\dfrac{\cos(x)\cdot h}{h}\right]\)
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[\dfrac{\sin(x)\left(-\dfrac{1}{2}h^2\right)}{h}+\dfrac{\cos(x)\cdot h}{h}\right]\)
Cancel the common factor, h:
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\lim_{h \to 0} \left[-\dfrac{1}{2}h\sin(x)+\cos(x)\right]\)
As h → 0, the first term → 0:
\(\implies \displaystyle \dfrac{\text{d}y}{\text{d}x}=\cos(x)\)
A family has a phone plan that includes 6 GB of data per month. 15 days into a 30-day month, the family has used 2 GB. At that rate, how many GB will the family use for the entire month?
Answer:
4GB
Step-by-step explanation:
cause if you think about it if they already have used 2GB in half the month then its' reasonable to think it would be 4GB. simple math
HELP ASAPPPPPP pls solve step by step!!!
Answer:
X=18
Step-by-step explanation:
6x=108
swap sides
6x/6
108/6
divide each side by 6
x=18
I WILL GIVE BRAINLEST ITS A IREADY QUESTION (7TH GRADE)
The mean of the areas of the shapes is 107.47
How to determine the mean of the areasThe triangle:
The area is calculated as
Area = 0.5bh
So, we have
Area = 0.5 * 8 * 12
Evaluate
Area = 48
The parallelogram:
The area is calculated as
Area = bh
Substitute the known values in the above equation, so, we have the following representation
Area = 13 * 19
Area = 247
The rectangle:
The area is calculated as
Area = bh
So, we have
Area = 8.1 * 3.5
Area = 28.35
The polygon:
The area is calculated as
Area = (n/2) * L * R
This gives
Area = (5/2) * 4 * 2.5
Area = 25
The trapezoid:
The area is calculated as
Area = (1/2) * (sum of parallel sides) * height
So, we have
Area = (1/2) * (18 + 24) * 9
Area = 189
The mean is then calculated as
Mean = (48 + 247 + 28.35 + 25 + 189)/5
Mean = 107.47
Hence, the mean area is 107.47
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The mean of all the answers
103.47HELP
10 points
And brainleist
Answer:
5 and 6 are vertical
1 and 2 are linear pair
Step-by-step explanation:
1 and 2 are linear pair because they add up to 180 degrees
5 and 6 are across from each other so they are vertical angles
ead the situations below and determine which relationship is not functional.
Situation 1: a cell phone bill to the amount of minutes used
Situation 2: the perimeter of a square to the length of one of the sides of a square
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned
Situation
does not represent a function.
This is because
.
There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.
In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.
For example, two people could own different numbers of credit cards but have the same monthly charges.
As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).
Because of this, case 3 does not represent a function.
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De acuerdo con el ciclo práctico o ciclo real de funcionamiento de un motor, las válvulas de admisión y escape no se abren y cierran exactamente en los puntos muertos superior e inferior. Debido a esto se genera un instante donde están abiertas las válvula de admisión y de escape al mismo tiempo, a lo que se le conoce como traslape o cruce valvular - ¿Cómo se determina el traslape?
Answer:
no one here speaks spanish-
Step-by-step explanation:
Solve this pls explain all steps for 22.5 = 1.5x
22.5 = 1.5x
x = 22.5/1.5
x = 15
hope it helps...!!!
Answer:
x = 15
Step-by-step explanation:
1.5x = 22.5
x = 22.5/1.5
assuming your finding x
please answer this question please
Step-by-step explanation:
C = Amount (A) - Principal (P)
Where
C is the compound interest
To find the amount we use the formula
\(A = P ({1 + \frac{r}{100} })^{n} \)
where
P is the principal
r is the rate
n is the period / time
From the question
P = Rs 12, 000
r = 5%
n = 3 years
Substitute the values into the above formula
That's
\(A = 12000 ({1 + \frac{5}{100} })^{3} \\ A = 12000(1 + 0.05)^{3} \\ A = 12000 ({1.05})^{3} \)
We have the answer as
Amount = Rs 13891.50Compound interest = 13891.50 - 12000
Compound interest = Rs 1891.50Hope this helps you
Please help been stuck on this for hours
The size of angle ACB to the nearest degree is 88 degree.
How is a triangle ABC put together?
Construction Steps:
Create a line segment BC with the property AC = 4 cm.
Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.
Join AB and AC now. Consequently, the necessary triangle is ABC.
With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.
Cut an arc of 3 cm from point B.
Embrace BC and AC
Triangle with angle ABC is necessary.
< ACB = 88 degree
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Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes
Point
Slopes
(1, 1)
(a) 3 (b) -3 (c) -5/2 (d) Undefined
The sketch for slope is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Point Slopes
(1, 1) (a) 3
_ (b) -3
_ (c) -5/2
_ (d) Undefined
a) Now, using slope intercept form
y - 1= 3 (x-1)
y- 1= 3x- 3
y= 3x - 2
(b) Equation of a line has a slope -3 is given by
y - 1= (-3) (x-1)
y-1 = 3- 3x
y = -3x + 4
(c) Equation of a line has a slope -5/2 is given by
y - 1= (-5/2) (x-1)
y-1 = -5/2x + 5/2
y= -5/2x + 7/2
(d) The line parallel to y axis and passes through given point : x=1
"undefined" means the line is vertical.
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It takes 6 fruit pickers 18 hours to pick a field of fruit. How long would it take 8 fruit pickers to pick the same field.
Time taken by \(8\) fruit pickers to pick the fruits of the same field is equals to \(13.5\)hours.
What is time?" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."
According to the question,
Time take by \(6\) fruit pickers to pick the fruit from the field \(= 18\)hours
As per the given situation we have,
Time taken by\(8\) fruit pickers to pick the fruits of the same field
\(=\frac{(6)(18)}{8}\)
\(=13.5\)hours
Hence, time taken by \(8\) fruit pickers to pick the fruits of the same field is equals to \(13.5\)hours.
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Write a real world problem that you could represent with the equation 20 - n = 4. Solve the equation to find the answer to your problem
Answer:
I used 16 out of my 20 dollars to buy some chips at the cvs now I only have 4 dollars to spare.
Answer:
David has 20 baseball cards, he sells N cards and now he only has 4 cards. how many cards did David sell?
20-4=16
David sold 16 baseball cards.
Help please and thank you I will give extra points thanks
Answer:
21 square feet
Step-by-step explanation:
In this answer, I have attached an image.
I have split the figure into two parts, A and B.
Area of A: \(6ft \times 2ft= 12\ square\ feet\)
Area of B: \((5ft-2ft)\times 3ft=3ft\times 3ft = 9\ square\ feet\)
Total Area: \(12\ square\ feet+9\ square\ feet=21\ square\ feet\)
Parallelogram A B C D is shown. The length of A B is (8 x minus 5) inches and the length of D C is (3 x + 10) inches.
The perimeter of parallelogram ABCD is 46 inches. What is DA?
3 in.
4 in.
8 in.
19 in.
Answer:
4
Step-by-step explanation:
trust
The value of DA in parallelogram ABCD is 4 inches.
ParallelogramA parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel to each other.
In parallelogram ABCD:
AB = DC, AD = BC
Hence:
8x - 5 = 3x + 10
5x = 15
x = 3 units
AB = 8(3) - 5 = 19 inches
Let y = AD = BC:
AB + BC + DC + AD = perimeter
19 + 19 + y + y = 46
y = 4 inches
The value of DA in parallelogram ABCD is 4 inches.
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(50 points + brainliest if found useful.)
If l is parallel to m, find the value of x.
Answer choices: A) 5
B) 32
C) 12
D) 76
Answer:
C
Step-by-step explanation:
9x-4+5x+16=180
14x+12=180
14x=168
x=12
Answer:
C) 12
Step-by-step explanation:
Consecutive interior angles are supplementary:
(9x -4)° +(5x +16)° = 180°
14x = 168 . . . . . . divide by °, subtract 12
x = 12 . . . . . . . . divide by 14
Determine wheather the given lines are parallel or not. Write the reasons .
Answer:
yes it is parallel because the alternate interior angles are equal
Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92, 000; $29,000 ; $30,500 ; $28,500. Which measure of center best describe the data, is it the mean or the median?
We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.
We can see that our given data set has a large valued data point that is $92,000.
We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.
We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.
helpoppppollpppppppppppppppppppppp
Answer:
Given:
1 mile = 1.6 km
So, to find how many miles are in 100 km, we need to divide 100km by 1.6km because one single mile contains 1.6km.
100km/1.6km = 62.5 miles
simplify:(-5/8x3/7x4/-15)+(4/7x-21/8)
Answer:
4x/7 - 143/56
Step-by-step explanation:
The price of a pair of sunglasses was reduced from $55 to $33. By what
percentage was the price of the sunglasses reduced?
Answer:
166.6% (put a little line over the LAST 6.)
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100.
Answer:
60%
Step-by-step explanation:
33×100=3300÷55=60
60%×55=33
A train running between two stations 50 Km apart arrives on time if it travels at an
average speed of 60 km/h. How late will it be if travels at an average speed of 50 Km/h?
If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.
How late will the train be if it travels at an average speed of 50 Km/h?Speed is simply referred to as distance traveled per unit time.
It is expressed as:
Speed = distance / time
Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.
The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:
Speed = distance / time
time = distance / speed
time = 50 km / 60 km/h
time = 5/6 hour
Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:
Speed = distance / time
time = distance / speed
time = 50 km / 50 km/h
time = 1 hour
Now, the difference in time between the two scenarios would be:
time difference = 1 hour - 5/6 hour
time = 1/6 hour
Convert to minutes
time = 1/6 × 60
time = 10 minutes
Therefore, the train would be late by 10 minutes.
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