Answer:
6 pound - first one
14 - second one
$172.20 - third one
Answer:
94.88
Step-by-step explanation:
this is the right answer
A church window consisting of a rectangle topped by a semicircle is to have perimeter p. Find the radius of the semicircle if the area of the window is to be maximum. Use pi to represent.
Answer:Function assigns the value of each element of one set to another element of another set. At point, , function A will be maximum.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Assume that the radius of the semicircle is r, while the length of the rectangle is L. therefore, 2r or the diameter of the width of the rectangle.
Now, the perimeter of the window consists of two lengths, one width, and length of the semicircle, therefore,
The length of the window can be written as,
The area of the window can be written as,
Substituting the value of the length of the window,
Finding the derivative of the Area, A with respect to the radius, r.
Equating the derivative with 0,
Thus, if then A'>0 therefore, the function A is increasing, and when then A'<0 therefore, the function A is decreasing.
Hence, this means that at the point the function A will be maximum.
Function assigns the value of each element of one set to another element of another set. At point, , function A will be maximum.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Assume that the radius of the semicircle is r, while the length of the rectangle is L. therefore, 2r or the diameter of the width of the rectangle.
Now, the perimeter of the window consists of two lengths, one width, and length of the semicircle, therefore,
The length of the window can be written as,
The area of the window can be written as,
Substituting the value of the length of the window,
Finding the derivative of the Area, A with respect to the radius, r.
Equating the derivative with 0,
Thus, if then A'>0 therefore, the function A is increasing, and when then A'<0 therefore, the function A is decreasing.
Hence, this means that at the point the function A will be maximum.
Function assigns the value of each element of one set to another element of another set. At point, , function A will be maximum.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Assume that the radius of the semicircle is r, while the length of the rectangle is L. therefore, 2r or the diameter of the width of the rectangle.
Now, the perimeter of the window consists of two lengths, one width, and length of the semicircle, therefore,
The length of the window can be written as,
The area of the window can be written as,
Substituting the value of the length of the window,
Finding the derivative of the Area, A with respect to the radius, r.
Equating the derivative with 0,
Thus, if then A'>0 therefore, the function A is increasing, and when then A'<0 therefore, the function A is decreasing.
Hence, this means that at the point the function A will be maximum.
Step-by-step explanation:
Betty makes pies. to make 7 pies, she uses 12 1/4 cups of flour. How many cups of flour are needed to make one pie? I NEED HELP ASAP
Answer:
1 and 1/4 cups of floour is used to make one pie. Since 7 and 1/2 cups is used for 6 pies we divide the 7 and 1/2 cups by the 6 pies. 7 and 1/2 cups is equivalent to 15/ 2 cups. 15/2 divided by 6 is equal to 15/2 times 1/6. This comes out to 15/12, which simplifies to 5/4, which is equivalent to 1 and 1/4 cups
Answer:
well i was oin to search up how many cups of four are in a pie but it didnt show, it just showed how to make a pie or something but i think what uou would do is divide 12 by 1/4 which would be 3 cups of flour
Step-by-step explanation:
1) divide 12 to 1/4
2) =3
for 7 pies you need 21 cups of flour and for one you need 3
if i am wrong im sorry
How do you write 0.02 in exponential form?
The given number 0.02 can be written in exponential form as \(2 \times 10^{-2}\) , because to express small number in exponential form power of 10 notation is used .
To write the number 0.02 to exponential form ,
the first step is to move the decimal point to right until it is after the first non zero digit.
In this number we move the decimal point to move two spaces to right.
So , the number becomes ; \(\frac{2}{100}\) ;
Now , we multiply the number 2 we created by 10 having exponent of -2. we know that , Whenever decimal point moves to right, the exponent of 10 will be a negative exponent.
The number after the decimal point is always equal number of spaces decimal point moves.
So , the final exponential form of 0.02 is \(2 \times 10^{-2}\) .
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help me plss, i need this done by today
\(~~~~~~~~~~~~\textit{function transformations} \\\\\\ f(x)=Asin(Bx+C)+D \qquad \qquad f(x)=Acos(Bx+C)+D \\\\ f(x)=Atan(Bx+C)+D \qquad \qquad f(x)=Asec(Bx+C)+D \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks}\\ ~~~~~~\textit{horizontally by amplitude } A\cdot B\\\\ \bullet \textit{ flips it upside-down if }A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}\)
\(\bullet \textit{ horizontal shift by }\frac{C}{B}\\ ~~~~~~if\ \frac{C}{B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{C}{B}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)\)
with the template above in mind, let's check the graph of that function, it has a midline at y = 0, namely the x-axis, so it has the same midline as sine, we'll use sine, because sine graph starts at 0 and then it moves up and then down, this one starts at 0, reason why, I guess we could also use a -cosine, which has the same effect, anyhow, let's use sine.
from the midlne up, we have a peak at 1.5 or 3/2 which our Amplitude.
we can also see that from 0 to 8, is the graph, after that it simply repeats, so we can say that the period of that one is 8, thus \(\stackrel{period}{8}=\cfrac{2\pi }{B}\implies B=\cfrac{2\pi }{8}\implies B=\cfrac{\pi }{4}\)
and since the midline is same as sin(θ) that means it doesn't have a vertical shift, so our D = 0, and since it's beginning at x = 0, it doesn't have any horizontal shift from the sin(θ) either, so C = 0, thus we can write it as
\(y = \stackrel{A}{\cfrac{3}{2}}sin\left( \stackrel{B}{\frac{\pi }{4}}x-\stackrel{C}{0} \right)+\stackrel{D}{0}\implies y = \cfrac{3}{2}sin\left( \frac{\pi }{4}x \right)\)
Check the picture below.
A bag contains 3 blue marbles, 2
green marbles and 1 red marble.
What is the probability of pulling a
red marble from the bag?
a) 12
b) 1/3
c) 1/5
d) 1/6
Help ASAP
Answer:
D 1/6
Step-by-step explanation:
There are 6 total marbles and only one of them is red so
1=red
6=total
1/6
PLZ MARK ME BRAINLIEST
Find the positive root of x^2+2x-35=0 in math Please.
Answer:
x2+2x−35=0
Step 1: Factor left side of equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Step-by-step explanation:
Can someone help me please? I'm literally dying, I don't understand how to graph this because the x-axis has the numbers this way?? Help omg
This inequality will intersect x axis at -2 and y axis at 100.
Inequalities DefinitionAn inequality in the algebra is called mathematical statement that employs the inequality symbol to represent how two expressions relate to one another. The data on each side of an inequality symbol are nonequal. Relation between two algebraic expressions that are represented by the inequality symbols are known as literal inequalities.
"A limk is referred an inequality if two real numbers are connected by the symbols ">," "," "," or "."
Example: 3≤x<8 ( x is greater than or equal to 3 and less than 8)
Given Inequalityy<50x+100
For x=0;
y<100
For y=0;
x>-2
The graph of the inequality is attached below:
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what problem does the model show
Answer:
its c because i think i just passed that lesson
What are the endpoints of the major axis and minor axis of the ellipse? ((x - 2) ^ 2)/36 + ((y + 3) ^ 2)/24 = 1 Drag coordinates into the boxes to correctly complete the table
From the equation of the elipse, we have that:
The endpoints of the major axis are: \(x = -4\) and \(x = 8\)The endpoints of the minor axis are: \(y = -3 - \sqrt{24}\) and \(y = -3 + \sqrt{24}\).The equation of an elipse of center \((x_0,y_0)\) has the following format:
\(\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1\)
If a > b, we have that:
The endpoints of the major axis are: \(x = x_0 \pm a\)The endpoints of the minor axis are: \(y = y_0 \pm b\)In this problem, the equation is:
\(\frac{(x - 2)^2}{36} + \frac{(y + 3)^2}{24} = 1\)
Thus \(x_0 = 2, y_0 = -3, a = 6, b = \sqrt{24}\)
For the major axis:
\(x = x_0 \pm a\)
\(x = 2 \pm 6\)
\(x = 2 - 6 = -4\)
\(x = 2 + 6 = 8\)
The endpoints of the major axis are: \(x = -4\) and \(x = 8\)
For the minor axis:
\(y = y_0 \pm b\)
\(y = -3 \pm \sqrt{24}\)
\(y = -3 - \sqrt{24}\)
\(y = -3 + \sqrt{24}\)
The endpoints of the minor axis are: \(y = -3 - \sqrt{24}\) and \(y = -3 + \sqrt{24}\).
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Answer:
joaobezerra is right its just a bit confusing to understand but here you go
Step-by-step explanation:
What is the y-intercept in the equation y = 45x + 65?
Answer:
The y intercept is : 65
Step-by-step explanation:
The y intercept is 65 as it is in the form of y=mx+c.
The c is the y intercept, being 65
Apply the distributive property to create an equivalent expression 4(x-2+y)
Answer:
4 * x
4 * -2
4 * y
4x-8+4y
Step-by-step explanation:
Answer:
4x+4y-8
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
What is the standard form of (-1, 1) and (1, 4) ?
Answer:
The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number). On a calculator, you usually enter a number in standard form as follows: Type in the first number (the one between 1 and 10).
Step-by-step explanation:
Spiral Review
Jenny uses half of a garden space to
plant roses. She uses 1/4 of that space
to plant pink roses. What fraction of
the entire space does Jenny use for
The fraction of the entire garden space Jenny uses for pink roses is 1/8.
How to determine the fraction of the entire space used for pink roses?
A fraction represents the parts of a whole or collection of objects e.g 3/4 shows that out of 4 equal parts, we are referring to 3 parts.
Since Jenny uses half of the entire garden space to plant roses and She uses 1/4 of that space to plant pink roses. We can say:
fraction for roses = 1/2
fraction for pink roses = 1/4 * fraction of roses
= 1/4 * 1/2
= 1/8
Therefore she uses 1/8 of the whole garden to plant pink roses.
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Complete Question
Jenny uses half of a garden space to plant roses. She uses 1/4 of that space to plant pink roses. What fraction of the entire space does Jenny use for pink roses?
Find the smallest pair of 4-digit numbers such that the difference between them is 303 and their hcf is 101. Show your step.
Based on the information provided, the two whose is 101 are 1010 and 1313.
?
The is the highest common factor or in other words, the highest by which two numbers can be divided. Let's start by listing the four digits that can be the related to 101.
101 x 10 = 1010
101 x 11 = 1111
101 x 12 = 1212
101 x 13 = 1313
Now, from these numbers, there are two numbers whose difference is
1313 - 1010 = 303
Based on this, the two numbers are and
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Find two numbers whose difference is 303, hcf is 101 and are 4 digits long.
Start by writing down two 4-digit numbers that have a difference of 303. The two numbers should be close together, but not the same number. For example, you could choose 9801 and 9498.
Next, find the factors of each number. For 9801, the factors are 3 x 3 x 11 x 101 and for 9498 the factors are 2 x 7 x 13 x 101.
Now, find the Highest Common Factor (HCF) of the two numbers. To do this, you can look at the factors of both numbers and find which ones are the same. In this case, the HCF is 101.
Finally, check if the difference between the two numbers is still 303. As 9801-9498 = 303, this is correct. Therefore, 9801 and 9498 are the smallest pair of 4-digit numbers with a difference of 303 and an HCF of 101.
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3
Use the Distributive Property to rewrite each expression in its equivalent form.
Expression
Equivalent Form
5m(2n-7)
-214-4s + r-8)
Answer:
1. 10mn - 35 2. 8rs -2r + 16
Step-by-step explanation:
10mn - 35
8rs -2r + 16
Felix and Megan are going hiking and are trying to figure out how much water
they should bring with them on the hike.
t = the length of the hike
w = the amount of water they should bring on the hike
Which of the variables is dependent?
Answer:
w
Step-by-step explanation:
The amount of water they need to bring depends on how long they will be hiking.
The donsity of inon is 7.87 g
cm
3
. What is its density in units of kg/m
3
? 6.9×10
7
3.0×10
−5
The density of iron is 7.87 x 10⁻⁹ kg/m³. This value is obtained by considering the density of iron 7.87 g/cm³.
Density is a measure of how much mass is contained within a given volume. In this case, the density of iron is stated as 7.87 g/cm³. This means that for every cubic centimeter of iron, there is a mass of 7.87 grams.
To convert the density from g/cm³ to kg/m³, we need to convert grams to kilograms and cubic centimeters to cubic meters.
To convert grams to kilograms, we divide by 1000 since there are 1000 grams in a kilogram. So, 7.87 g/cm³ is equal to 0.00787 kg/cm³.
To convert the density of iron from g/cm³ to kg/m³, we need to perform the following calculations.
First, convert grams to kilograms:
1 g = 0.001 kg
Therefore, the density of iron is 7.87 g/cm³ * 0.001 kg/g = 0.00787 kg/cm³.
Next, convert cubic centimeters to cubic meters:
1 cm³ = (0.01 m)³ = 0.000001 m³
Therefore, the density of iron is 0.00787 kg/cm³ * 0.000001 m³/cm³ = 7.87 x 10⁻⁹ kg/m³.
Hence, the density of iron in units of kg/m³ is 7.87 x 10⁻⁹ kg/m³.
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with a reserve requirement of 5% and an initial deposit of $400, what is the maximum total amount of money that will be in the money supply? assume that all currency is deposited in a bank 7 banks hold no excess reserves (rr=.05)
The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.
How to find maximum money?To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.
The money multiplier is given by the formula: MM = 1 / reserve requirement.
Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.
The initial deposit is $400.
To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:
Maximum Money Supply = Initial Deposit * Money Multiplier
= $400 * 20
= $8,000.
Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.
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If you sleep 33% of the year, how many months are spent sleeping?
ranswer
Answer:
3.96 months or close to 4 months
Step-by-step explanation:
\(\frac{33}{100} *\frac{x}{12}\)
Cross multiply
396 = 100x
Divide both sides by 100 to get x alone
396/100 = 100x/100
3.96 = x
Hope this helps and pls do mark me brainliest:)
Answer:
3.96 or 4 rounded
Step-by-step explanation:
4 because is you multiply 12*.33 = 3.96
If you round it is 4 months.
Hope this helps!!
Sarah drove 116 miles in 4 hours .If she drove at a constant rate,how far did she travel each hour?
Answer:
29 miles
Step-by-step explanation:
116 divided by 4
Answer: 29 mph
Hope this helps :)
Question # 2: A circle has a radius of 12 feet. What is the area of the circle? Use 3.14 for Pi.
Answer:
452.16 ft²
Step-by-step explanation:
Use the circle area formula, A = \(\pi\)r²
Plug in 3.14 as pi and 12 as the radius, then solve:
A = (3.14)(12)²
A = (3.14)(144)
A = 452.16
So, the area of the circle is 452.16 ft²
¿que es la trigonometria?
Answer:
I don't speak Spanish but I know what your asking. Trigonometry is a thing in physics.
Step-by-step explanation:
PLEASE HELP ME IM IN DESPERATE NEED OF THE ANSWER
Answer:
a) x= -3 y=0
x= -2 y=8
x= -1 y=6
x= 0 y=0
x= 1 y= -4
x= 2 y= 0
x= 3 y= 18
b) x³ + x² - 6x=0
x* (x² + x -6)=0
x( x(x-2) +3(x-2))=0
x=0
x-2=0 x=2
x+3=0 x= -3
x= 0, x=2, x=-3
what is a claim? a. a statement that is true or false. b. a question about whether a statement is true. c. it is the conclusion to an argument. d. none of the above.
A claim is a statement that is true or false. Option A. is the right answer.
What is a claim?A claim is a statement that is true or false. It is usually used in the context of an argument or debate. A claim can also be defined as a statement that is presented as fact. It is important to note that a claim is not always true or accurate.In an argument, the claim is usually the main point that the speaker or writer is trying to make. It is the statement that they are trying to prove or disprove. It is supported by evidence, which may include facts, statistics, expert opinions, and examples. Therefore, a claim can be true or false, and it is not a question about whether a statement is true or the conclusion to an argument.
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(Construct a consistent and independent system of equations that has (-2,3)) as its solution
Therefore, the system of equations that has (-2, 3) as its solution is:
x = -2
y = 3
To construct a consistent and independent system of equations that has (-2, 3) as its solution, we can create a system with two linear equations.
Let's denote the two unknowns as x and y.
Equation 1:
We know that the x-coordinate of the solution (-2, 3) is -2, so we can write the equation:
x = -2
Equation 2:
We know that the y-coordinate of the solution (-2, 3) is 3, so we can write the equation:
y = 3
Therefore, the system of equations that has (-2, 3) as its solution is:
x = -2
y = 3
This system is consistent because the solution (-2, 3) satisfies both equations. It is also independent because each equation represents a unique constraint on the values of x and y.
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Does anybody know this answer
Answer:
its 90
Step-by-step explanation:
beacuse it is
Answer:
Step-by-step explanation:
Area of sphere is:
\(4\pi r^2\)
So, we would have:
\(4\pi12^2=4\pi144=452.16\cdot4=\boxed{1808.64}\)
Hope this helps.
to write
algebraically
following expressions:
the
1. Double an X number.
2. Triple an X number.
3. Double a number x plus 5.
4. The square of the triple of a
number x.
5. Three-quarters of a
number x.
Step-by-step explanation:
1. x²
2. x³
3. x²+5
4. (3x)^2
5. 3/4x
What is the slope and y-intercept of the graph of the linear function shown on the grid?
A. Slope = -2 , y-intercept = 4
B. Slope = 3 , y-intercept = -2
C. Slope = 2 , y-intercept = -2
D. Slope = 2 , y-intercept = 4
Correct answer will get Brainliest!
Answer:
Step-by-step explanation:
Refer to the graph. As you 'leave' the first point towards the second, x increases by 3. This is the 'run.' At the same time, y increases by 6. This is the 'rise.'
Therefore the slope is m = rise/run = 6/3, or m = 2. The second point, (0, 4), is the y-intercept.
A triangle has vertices at A (−2, −2), B (−1, 1), and C (3, 2). Which of the following transformations produces an image with vertices A′ (−2, 2), B′ (−1, −1), and C′ (3, −2)?
Find different pairs of numbers from the list to complete these equations:
24, -12 ,-3 ,-4, -48, -6, 2 ,-8
____ x ____ = -96 ____ ÷ ____ = -96
Equation 1: ____ x ____ = -96 We need to find a pair of numbers from the list that multiply together to give -96. Here are some possible pairs:
1) -12 x 8 = -96
2) 24 x -4 = -96
Equation 2: ____ ÷ ____ = -96
We need to find a pair of numbers from the list that divide to give -96. Here are some possible pairs:
1) -48 ÷ 0.5 = -96 (0.5 is the result of dividing 2 by 4)
2) 96 ÷ -1 = -96 (-1 is the result of dividing -2 by 2)
So, here are the pairs of numbers that can complete the equations:
Equation 1:
- Pair 1: -12 and 8
- Pair 2: 24 and -4
Equation 2:
- Pair 1: -48 and 0.5 (derived from dividing 2 by 4)
- Pair 2: 96 and -1 (derived from dividing -2 by 2)
Keep in mind that we had to create the numbers 0.5 and -1 from the given list to find the pairs that satisfy Equation 2.
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