A rectangular picture is 7 inches by 5 inches and has a border of uniform width surrounding it. If the area of the picture and the border is 80 square inches, find the width of the border.
Answer:
k
Step-by-step explanation:
Step-by-step explanation:
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The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d. 6) Which model represents the situation?
The total cost of pizza and drinks, is an illustration of a linear function.
The model that represents the situation is: \(\mathbf{10 + 3d = 19}\)
The given parameters are:
\(\mathbf{Total =19}\)
\(\mathbf{1\ pizza =10}\)
\(\mathbf{1\ drink =d}\)
The cost of 3 drinks will be 3d
The total cost would then be:
\(\mathbf{Total = 10 + 3d}\)
Substitute 19 for Total
\(\mathbf{10 + 3d = 19}\)
Rewrite the above equation as:
\(\mathbf{3d + 10 = 19}\)
Hence, the model that represents the situation is: \(\mathbf{10 + 3d = 19}\)
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Which triangles are similar to ABC? Explain.
Answer: △JKL & △ MNP
Step-by-step explanation:
△JKL is similar because:
5 x 1.6 = 8
2.5 x 1.6 = 4
3.75 x 1.6 = 6
△MNP is also similar because:
4 x 2 = 8
2 x 2 = 4
3 x 2 = 6
Darenda worked for three weeks. The shaded part of the model represent the fraction of each week for she worms The shaded part of the model represent the fraction of each week for she worked from her home office. Which expression can be used to determine the number of weeks Darenda work from home office over these three weeks
for that it is 3 x 3/7
Answer:
3 x 3/7 is the answer but on your paper u can just say D hope this helps
How do you write a function in factored form from a graph?
To write a given function in the factored form from a given graph is expressed as f (x) = A ( x - t )( x - q ).
As given in the question,
Let us consider a equation representing the graph of a function :
2x² - 4x - 30
Simplify this into factored form
= 2 ( x² - 2x - 15 )
= 2 ( x² - 5x + 3x -15 )
= 2 ( x ( x - 5 ) + 3 ( x - 5 ) )
= 2 ( x - 5 ) ( x + 3 )
In standard form if the function is f(x) = Ax² + Bx + C
Then its factored form is f (x) = A ( x - t )( x - q ).
Therefore, the function can be written in factored form from a graph in the following way : f (x) = A ( x - t )( x - q ).
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Due today! Please help it never shows how they CREATED IT HEEEELEP
Answer:
1. The first paragraph can be paraphrased for a main idea.
2. Because LV is the Roman Numeral for 55 and it will be the 55th Super Bowl.
3. True
4. True
5. False
What's 5/8 in its simplest form
I think i"m dum Ф∧Ф ≥∧≤
Answer:
It is already in simplest form :)
Step-by-step explanation:
5/8=5/8
I hope this helps :)
My answer got deleted last time I'm not sure why but here it is again :D
Also please don't just answer question randomly and put you are not sure for the answers when you are answering the question, other people might actually need help :(
Answer:
imma need my points back
Step-by-step explanation:
he following data are collected as part of a study of coffee consumption among undergraduate students. the following values reflect cups per day consumed: 3 4 6 8 2 1 0 2 compute the sample mean. compute the sample standard deviation. construct a 95% ci for the mean number of cups of coffee consumed among all undergraduates.
Sample Mean: 3.25
Standard Deviation: 2.29
CI: 1.36 to 5.14
To compute the sample mean, add up all the values and divide the sum by the number of values in the data set. In this case, the data set is 3, 4, 6, 8, 2, 1, 0, 2.
Summing up the values: 3 + 4 + 6 + 8 + 2 + 1 + 0 + 2 = 26.
There are 8 values in the data set, so divide the sum by 8: 26 / 8 = 3.25.
Therefore, the sample mean is 3.25 cups of coffee per day.
To compute the sample standard deviation, we need to find the square root of the variance. The variance is the average of the squared differences from the mean.
First, calculate the squared differences from the mean for each value:
(3 - 3.25)^2 = 0.0625
(4 - 3.25)^2 = 0.5625
(6 - 3.25)^2 = 7.5625
(8 - 3.25)^2 = 20.0625
(2 - 3.25)^2 = 1.5625
(1 - 3.25)^2 = 5.0625
(0 - 3.25)^2 = 10.5625
(2 - 3.25)^2 = 1.5625
Next, find the average of these squared differences:
(0.0625 + 0.5625 + 7.5625 + 20.0625 + 1.5625 + 5.0625 + 10.5625 + 1.5625) / 8 = 5.25.
Finally, take the square root of the variance to find the sample standard deviation:
sqrt(5.25) ≈ 2.29.
Therefore, the sample standard deviation is approximately 2.29 cups.
To construct a 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates, we can use the formula:
CI = sample mean ± (t * (sample standard deviation / sqrt(n))),
where t is the t-value for the desired confidence level, sample standard deviation is the calculated standard deviation, sqrt(n) is the square root of the sample size, and the sample mean is the calculated mean.
For a 95% confidence level, with a sample size of 8, we can find the t-value from a t-table. The t-value for a 95% confidence level with 8 degrees of freedom is approximately 2.306.
Plugging in the values, the confidence interval is:
CI = 3.25 ± (2.306 * (2.29 / sqrt(8))).
Calculating the lower limit:
3.25 - (2.306 * (2.29 / sqrt(8))) ≈ 1.36.
Calculating the upper limit:
3.25 + (2.306 * (2.29 / sqrt(8))) ≈ 5.14.
Therefore, the 95% confidence interval for the mean number of cups of coffee consumed among all undergraduates is approximately 1.36 to 5.14 cups per day.
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consider helping me please
Answer:
Step-by-step explanation:
only because you asked nicely ofc
18.40
it took me forever but the answer is 18.40
so 17 trips with the 30 bucks a month one and 8 trips with the 2.30$ a trip
For each triangle check all that apply
Answer:
Triangle A - Scalene
Triangle B - Isosceles
Triangle C - Isosceles
Triangle D - Equilateral
Step-by-step explanation:
Scalene - No equal sides or angles
Isosceles - 2 equal sides or 2 equal angles
Equilateral - all equal sides or all equal angles
unit 2 lesson 4 - Point C is the dilation of point B with the center of dilation A and scale factor S. Estimate S. What is the best estimate for the scale factors?
Scale factor is simply the ratio of sides of two corresponding figures
The estimated scale factor is 1.5
From the question, we have:
The actual figure is ABThe dilation is ACThe center of dilation is ASo, the scale factor (S) would be:
\(\mathbf{S = \frac{AC}{AB}}\)
The actual measurements are not given; so, we will make use of estimates
The estimates to use are:
\(\mathbf{AB = 1}\)
\(\mathbf{AC = 1.5}\)
So, the scale factor is:
\(\mathbf{S = \frac{1.5}{1}}\)
\(\mathbf{S = 1.5}\)
Hence, the estimated scale factor is 1.5
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Which equation matches the table?
An equation that matches the table include the following: y = x + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1.
At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
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what’s the biggest difference between an area variance and a use variance?
The main difference between an area variance and a use variance is that area variance allows for an exception to zoning regulations related to the physical characteristics of a property, while use variance allows for an exception to regulations related to the intended use of a property.
An area variance is typically granted when a property owner is unable to comply with zoning regulations related to setbacks, building height, lot coverage, or other physical characteristics of a property.
In contrast, a use variance allows a property owner to use their property for a purpose that is not permitted under the current zoning regulations. This may include using a residential property for commercial purposes or using a commercial property for residential purposes.
Use variances are generally more difficult to obtain than area variances, as they require a showing of a unique hardship or practical difficulty that cannot be addressed through other means.
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Type the correct answer in the box. Use numerals instead of words.
A toy ball has a surface area of 7,543 square millimeters.
What is the radius of the toy ball to the nearest tenth of a millimeter?
The radius is millimeters.
Answer:
The answer is 7,540 to the nearest tenth. If I'm wrong put it in the comments olease
The radius of the toy ball is 24.5 millimeter (to nearest tenth)
What is the surface area of a sphere ?Let, r be the radius of the sphere.
Then the surface area of the sphere = \(4\pi r^{2}\) sq. unit
How to find the radius of the toy ball?The structure of the toy ball is sphere.
Given, Surface area of the toy ball = 7543 square millimeter
Let, the radius be r millimeter
∴ \(4\pi r^{2}\) = 7543
⇒ \(r^{2}\) = \(\frac{7543}{4*3.14}\) , where \(\pi\) = 3.14
⇒ \(r^{2}\) = \(\frac{7543}{12.56}\)
⇒ \(r^{2}\) = 600.56
⇒ r = \(\sqrt{600.56}\)
⇒ r = 24.5 (approx)
Radius = 24.5 millimeter (to nearest tenth)
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y=x+8
x+y=2
Solve the system of equations using substitution
Please help! This one really confused me….
Much appreciated!
Will give brainliest to first right answer :D
Answer:
x = -3
y = 5
Step-by-step explanation:
See picture above
What is the equation of the line that contains the point (6, -1) and is perpendicular to line whose equation is y = 2x + 1?
The equation of the line that contains the point (6, -1) and is perpendicular to the line whose equation is y = 2x + 1 is y = - 1 / 2 x + 2 so, option D is correct.
What is a line?A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.
Given:
The coordinates of line = (6, -1),
The equation of a perpendicular line is y = 2x + 1,
The slope of the above line can be written as,
m = 2
The slope of a perpendicular line = -1 / 2
Write the equation of the line as shown below,
y - (-1) = -1 / 2 (x - 6)
y + 1 = - 1 / 2 x + 3
y = - 1 / 2 x + 3 - 1
y = - 1 / 2 x + 2
Thus, the equation of the line is y = - 1 / 2 x + 2.
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information about five planets is shown in the table below. write down the name of the planet with the greatest mass
Answer:
Jupiter
Step-by-step explanation:
Jupiter is 318 times as massive as earth
Jupiter mass is 300 times more bigger than earth and it has a diameter at 140,000 km
this maths question i don’t really understand
Answer:
I think it is straight forward, u just have to solve the problem
Step-by-step explanation:
so 35 x 586= 20510
3.5 x 5860=20510
36 x 586=21096
70 x 586=41020
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Answer:
uihuvbuh ufsghiusgu 8y39 8y3yy894y87y48jhfjhjbvhjjavjlh ailhli
Step-by-step explanation:
What is half of a 3/4 cup?
Answer:0.375
Step-by-step explanation:
3/4=0.75
0.75/2=0.375
(3/4)/2=0.375
What is the value of x in |-6|= x? Select one: a. 6 and -6 O b. 6 a co d. 6
Answer:
X=6
Step-by-step explanation:
Can everybody that sees this subscribe to my YT Channel its : KingEli322 I'm trying to get to 1,000 subs before January 1, 2021 Plz and thankyou
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What is the measure of Zx Angles are not necessarily drawn to scale,
Answer:
132
Step-by-step explanation:
Straight lines add up to 180
180-48=132
If there are 300 crayons in the bag, how many red crayons would you estimate are in the bag? Explain your thinking.
Answer:
about 127
Step-by-step explanation:
Answer:
The answer is 60
Step-by-step explanation:
There are 60 red crayons in the bag.
which doesn't belong? explain
We want to see which expression does not belong, the one that has a difference with the others is the third one, so that is the one that does not belong.
Working with exponents.Here you need to remember the rules:
\(a^x*a^y = a^{x + y}\\\\(a^x)^y = a^{x*y}\\\\\frac{a^x}{a^y} = a^{x - y}\)
Now we can use these to rewrite the given expressions as:
\(\frac{2^8}{2^5} = 2^{8 - 5} = 2^3 = 8\)
\((\frac{3}{4} )^{-5}*(\frac{3}{4})^8 = (\frac{3}{4})^{-5 + 8}= (\frac{3}{4} )^3\)
\((4^{-5})^8 = 4^{-5*8} = 4^{-40}\)
\(\frac{10^8}{5^5} = \frac{2^8*5^8}{5^5} = (2^8)*(5^{8-5}) = 2^8*5^3\)
So you can see that in the first, second, and fourth expressions we have positive exponents and there always appears the exponent 3, while on the third one that does not happen, so the one that does not belong is the third expression.
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Express the function graphed on the axes below as a function
Answer:
Step-by-step explanation:
2x+10 for x < -3
(1/3)x +1 for x >3
Which system of inequalities is represented by the graph shown below?
Answer:
Step-by-step explanation:
A relationship in which one variable increases and the other variable decreases is called?
a. Positive correlation
b. Negative correlation
c. Inverse
d. Linear
Sameera planned a rectangular walkway to be 25 ft long. She decides to change the walkway to be 45 ft long. What
is the change in the scale factor?
1 to 9
1 to 5
5 to 9
9 to 5
Answer:
5 to 9
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Prove the identity, assuming that S satisfies the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second-order partial derivatives. S curl F · dS = 0
The identity S curl F · dS = 0 holds, given the conditions of the Divergence Theorem and the assumption of continuous second-order partial derivatives for the scalar functions and components of the vector fields.
The identity S curl F · dS = 0 can be proven using the Divergence Theorem and the assumption of continuous second-order partial derivatives.
The Divergence Theorem states that the flux of a vector field through a closed surface S is equal to the triple integral of the divergence of the vector field over the region enclosed by S. Mathematically, it can be written as:
∫∫(curl F) · dS = ∫∫∫(∇ · curl F) dV,
where ∇ is the del operator, curl F is the curl of vector field F, dS is the outward-pointing differential surface element, and dV is the differential volume element.
If we assume that the scalar functions and components of the vector fields have continuous second-order partial derivatives, then we can apply the Divergence Theorem.
Since the curl of F is a vector field, its divergence (∇ · curl F) is a scalar function. According to the Divergence Theorem, if the surface S is closed (i.e., it encloses a region), the flux of curl F through S is equal to the triple integral of the divergence of curl F over the region enclosed by S.
However, in this case, S is not closed but instead represents an open surface. Since the Divergence Theorem is not applicable to open surfaces, we cannot directly equate the flux of curl F through S to the triple integral of the divergence of curl F over the region enclosed by S.
Therefore, we cannot conclude that S curl F · dS equals zero based solely on the conditions of the Divergence Theorem and the assumption of continuous second-order partial derivatives.
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A three sided regular polygon is called _______.
an acute triangle
a right triangle
an isosceles triangle
an equilateral triangle
Answer:
Equilateral triangle
Step-by-step explanation: