Answer:
hmmm
Step-by-step explanation:
yeah
Find the area of the figure. The area is square units.
Check the picture below.
so we really have two identical trapezoids with bases of 2 and 6 and a height of 4, so let's get their area and sum them up and that's the area of the figure.
\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel ~sides}{bases}\\[-0.5em] \hrulefill\\ h=4\\ a=2\\ b=6 \end{cases}\implies \begin{array}{llll} A=\cfrac{4(2+6)}{2}\implies A=16\\\\ \stackrel{\textit{area for both trapezoids}}{2A=32} \end{array}\)
A baker makes 60 muffins. He sells 24 of the muffins.
He put the rest of the muffins in boxes. Each box can hold 4 muffins.
Which equation can be used to find b, the number of boxes the baker will need?
OA.
B.
OC.
OD. (60
60+ 24 ÷ 4 = b
60 24 ÷ 4 = b
-
(60+24) ÷ 4 = b
24) = 4 = b
-
Answer:c
Step-by-step explanation:
c
Answer:b
Step-by-step explanation:
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
4x-5 2x+7 Find the value of x
answers should be from
27
37
47
57
The gas tank in Phil’s car was 1/8 full. He put more gasoline in the cars gas tank.the number line below shows how full the cars gas tank was before and after Phil put in more gasoline.
Answer:
The answer is 1/8+5/8=3/4
Step-by-step explanation:
how oes the relationship between logarithms and exponential functions help us find solutions
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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On a coordinate plane, (negative 4, 6) is plotted.
Which ordered pair represents the reflection of the point (–4, 6) across both axes?
(4, 6)
(4, –6)
(–4, 6)
(–4, –6)
The reflection of the point (–4, 6) across both axes is (b) (4, -6)
How to determine the reflection of the point (–4, 6) across both axes?From the question, we have the following parameters that can be used in our computation:
Point = (-4, 6)
The rule of reflections across both axes is
(x, y) = (-x, -y)
Using the above as a guide, we have the following:
Image = (4, -6)
Hence, the reflection of the point (–4, 6) across both axes is (b) (4, -6)
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the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers
The value of the third number is 25.5
What is an algebraic expression?An algebraic expression can be defined as an expression can be defined as an expression that consists of variables, coefficients, terms, constants and factors.
From the information given as;
First number = x - 9second number = 2(x - 9)third number = xNow, substitute the values, we get;
x - 9 + 2(x-9) + x = 75
expand the bracket
x - 9 + 2x - 18 + x = 75
collect like terms
x +2x + x = 75 +27
add or subtract the like terms
4x = 102
Make 'x' the subject of formula by dividing both sides by 4
x = 102/4
x = 25.5
Hence, the third number is 25.5
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Complete question
the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers. Find the third number
The three numbers are 19, 28 and 56
What is word problem?Word problem in mathematics is expressing mathematical problems in words. In other words, a word problem is a verbal description of a problem situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations to information available in the text.
Represent the three numbers with x, y, z
x = z-9
y = 2z
x+y+z = 75
substitute 2z for y in x+y+z
2z+x+z = 75
substitute z-9 for x
2z+z-9 = 75
3z- 9 = 75
3z = 75+9
3z = 84
z = 28
y = 2z
y = 2× 28
y = 56
to find the value of x;
x = 28-9
x = 19
therefore the value of the three numbers (x,y,z) is 19, 28, 56
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Use S = n^2 to find the sum of 1 + 3 + 5 + . . . + 701.
Answer:
123201
Step-by-step explanation:
This is an arithmetic sequence of common difference 2 and starting value 1,
So we can use the formula for an arithmetic sequence if we know what is the order of the last term.
Then first use the formula for the nth term to find "n":
\(a_n=a_1+(n-1)d\)
where d = 2, first term = 1 and last term = 701
\(a_n=a_1+(n-1)d\\701=1+(n-1)*2\\700=(n-1)*2\\350=n-1\\n = 351\)
Knowing this, we can estimate the partial sum:
\(S=n\,\frac{a_1+a_n}{2} \\S=351\,\frac{1+701}{2} \\S=351\,*\,351\\S = 123201\)
please show on graph (with x and y coordinates) state where the function x^4-36x^2 is non-negative, increasing, concave up
Answer:
\( y'' =12x^2 -72=0\)
And solving we got:
\( x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}\)
We can find the sings of the second derivate on the following intervals:
\( (-\infty<x< -\sqrt{6}) , y'' = +\) Concave up
\(x=-\sqrt{6}, y =-180\) inflection point
\( (-\sqrt{6} <x< \sqrt{6}), y'' =-\) Concave down
\(x=\sqrt{6}, y=-180\) inflection point
\( (\sqrt{6}<x< \infty) , y'' = +\) Concave up
Step-by-step explanation:
For this case we have the following function:
\( y= x^4 -36x^2\)
We can find the first derivate and we got:
\( y' = 4x^3 -72x\)
In order to find the concavity we can find the second derivate and we got:
\( y'' = 12x^2 -72\)
We can set up this derivate equal to 0 and we got:
\( y'' =12x^2 -72=0\)
And solving we got:
\( x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}\)
We can find the sings of the second derivate on the following intervals:
\( (-\infty<x< -\sqrt{6}) , y'' = +\) Concave up
\(x=-\sqrt{6}, y =-180\) inflection point
\( (-\sqrt{6} <x< \sqrt{6}), y'' =-\) Concave down
\(x=\sqrt{6}, y=-180\) inflection point
\( (\sqrt{6}<x< \infty) , y'' = +\) Concave up
Please help is due tonight
The linear function that has the greatest initial value is Function C.
Function B has the greatest rate of change.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Function A:
The initial value is o.
f(0) = 0
The rate of change.
= (f(4) - f(2)) / 4 - 2
= (10 - 5) / 2
= 5/2
= 2.5
Function B:
The initial value is
y = 3x - 1
y = 3 x 0 - 1 = 0 - 1 = -1
Let y = f(x)
The rate of change.
= (f(2) - f(1)) / (2 - 1)
= (5 - 2) / 1
= 3
Function C:
The initial value is 2.
(0, 2) is considered as when x = 0, y = 2.
Take two coordinates from the graph.
(3, 3) and (6, 4)
The rate of change.
= (4 - 3) / (6 - 3)
= 1/3
= 0.33
Thus,
Function C has the greatest initial value.
Function B has the greatest rate of change.
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You measure 32 backpacks' weights, and find they have a mean weight of 53 ounces. Assume the populationstandard deviation is 4.7 ounces. Based on this, what is the maximal margin of error associated with a 99%confidence interval for the true population mean backpack weight.Give your answer as a decimal, to two places+Ounces
Given the mean weight and population standard deviation;
\(\begin{gathered} n=32 \\ \sigma=4.7 \\ \bar{x}=53 \end{gathered}\)The margin of error also called the maximum error of the estimate is given as;
\(E=Z_{\frac{\alpha}{2}}\times\frac{\sigma}{\sqrt[]{n}}\)The z-value of 99% confidence interval is 2.576.
So,
\(\begin{gathered} E=2.576\times\frac{4.7}{\sqrt[]{32}} \\ E=2.576\times0.8309 \\ E=2.1403 \\ E\cong2.14ounces\ldots\ldots\ldots\ldots..(two\text{ decimal places)} \end{gathered}\)Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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Write the equation for the circle with center (2, 4) and radius 7 in standard form
Answer:
Step-by-step explanation:
Let's get the equation first and then look at the circle when it has been graphed.
(x - 2)^2 + (y - 4)^2 = 7^2
(x - 2)^2 + (y - 4)^2 = 49
You will notice that the center of the circle has been marked and it is at (2,4) just as the question required.Another point has been added. It is at (2,11).It is the radius of the circle11 - 4 = 7 which is the radius that has been requestedAnnual expenses do NOT need to be budgeted for monthly. Don't worry about paying them on time. *
1 point
True
False
Annual expenses need to be budgeted for monthly, therefore the statement is false.
A budget is vital for an individual to plan well. It's important for an individual to budget monthly for annual expenses. This will make it easier for the person to pay.
An annual expense can include house rent, paying for a car, etc. Therefore, it's important for one to plan ahead. Ta essential for one.to pay them on time too.
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In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the slope of this line positive or negative? How do you know? •What is the y-intercept of this line? How did you find it? •What is the slope of this line? How did you find it?
Answer:
positive slope
(0,3)
slope = 2
Step-by-step explanation:
Slope of the given line is positive If the line is sloping upward from left to right, so the slope is positive (+).or if the angle made by the line to the x axis is < 90 it's slope is positive.
y-intercept of the line is (0,3)The y intercept is the point where the line crosses the y axis. At this point x = 0.slope of the line is 2slope = (y2 - y1) / (x2 - x1)lines passing through points (1,5) (0,3)
slope = (3 - 5) / (0 - 1)
= -2 / -1 = 2
- The line is positive because it is going upwards from the bottom left to the top right
- The y-intercept is positive 3
- It can be found by seeing where the line intercepts the y-axis when x = 0
- Written as a coordinate point of (0, 3)
- The slope of the line is 2
- It can be found by using "rise over run" which is the change in y divided by the change in x
Which shows one way to determine the factors of x3 - 12x7 - 2x + 24 by grouping?
The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:
Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:
(x^3 - 12x^2) + (-2x + 24)
Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:
x^2(x - 12) - 2(x - 12)
Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:
(x - 12)(x^2 - 2)
Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).
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Each unit in the graph above is one block. How far would you have to walk from the harbor to the magic shop and then return to the harbor?
Question 3 options:
A)
5 blocks
B)
9 blocks
C)
3 blocks
D)
6 blocks
Can anyone help me find the value pls?
The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.
In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.
We know B = 72, so A = 180-72 = 108
Angle A is divided in 2 by angle y, so y = 108/2 = 54
Answers: x = 72
Y = 54
The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?
Answer:
width = 4in
length = 8in
Step-by-step explanation:
A = LxW = 32
L = W + 4
W(W+4) = 32
W² + 4W - 32 = 0
(W + 8)(W - 4) = 0
W ≠ -8 (dimensions cannot be negative)
W = 4in
L = W+4 = 4+4 = 8in
1/8 the sum of 23 and 17
Answer:
5 is the right answer.......
1/8 (23+17) =5
Help please will mark brainliest!
Answer:
Step-by-step explanation:
I'm gaAy and I want some imma boy
The parabola has focus (0, 6) and vertex at the origin
The equation is :
I dont know the answer to this question I dont know what I can put for the x and the y
Answer:
(x, y) = (-4, 4)
Step-by-step explanation:
You find the values of x and y by working the problem using any of the methods of solving simultaneous equations that you have been taught.
Here, you observe that the y-coefficients are the same in each equation. That means you can cancel the y-terms by subtracting one equation from the other.
(7x +6y) -(4x +6y) = (-4) -(8)
3x = -12 . . . . simplify
x = -4 . . . . . . divide by 3
Now, you can substitute this into either equation to find y.
4(-4) +6y = 8
6y = 24 . . . . . . . . add 16
y = 4 . . . . . . . . divide by 6
The solution to this system of equation is ...
x = -4y = 4Answer:
x = -4y = 4Solution:
=> 7x + 6y = -44x + 6y = 8
=> 3x = -12=> x = -4Now, let's substitute the value of x into an equation to find the value of y.
7x + 6y = -4=> 7(-4) + 6y = -4=> -28 + 6y = -4=> 6y = -4 + 28=> 6y = 24=> y = 4Let's check our answer using the second equation.
Check:
4x + 6y = 84(-4) + 6(4) = 8=> -16 + 24 = 8=> 8 = 8Hence, this is proven correct.
Hoped this helped.
\(BrainiacUser1357\)
At an amusement park, 15 riders ride the race cars every 20 minutes and 35 riders ride the ferris wheel every 60 minutes. Which ride has the greater ratio of riders?
Answer: the Ferris Wheel
Step-by-step explanation:
write and solve an inequality to find the possible values of x
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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The total angle of a kite is............
Since a kite is a quadrilateral, it has the value of 360 total degrees.
painting at a constant rate, will used 2/3 of a can of paint in 1 1/2 hours.show how to reason
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
1 can of paint is used in 2(1/4) hours
4/9 can of paint is used in 1 hour.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
2/3 can of paint = 1(1/2) hours
2/3 can of paint = 3/2 hours
Multiply 2/3 on both sides.
2/3 x 2/3 can of paint = 1 hour
4/9 can of paint = 1 hour
Or
2/3 can of paint = 1(1/2) hours
Multiply 3/2 on both sides.
1 can of paint = 3/2 x 3/2 hours
1 can of paint = 9/4 hours
1 can of paint = 2(1/4) hours
Thus,
We can say that,
1 can of paint is used in 2(1/4) hours
4/9 can of paint is used in 1 hour.
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Write the following expression using the fewest possible terms.
(−8 + 2.7p) + (13.6p − 2)
16.3p + (−10)
16.3p + (−6)
10.9p + (−6)
1.63p + (−10)
Answer:The answer would be 16.3p +(-10)
Step-by-step explanation: 13.6p + 2.7p is 16.3
-8-2 is -10
so the answer would be 16.3p +(-10)
What is the rental cost? Step by step.
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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