The scale factor the company needs to use for the family-size box is 1.56.
What is a scale factor?
A scale factor states that the number of all the components of an object is multiplied which is used to create a proportional enlargement or reduction.
According to the question
A food company has designed boxes for several products. Each box is in a rectangular prism.
The family-size box is a dilation of the single-serving 1.2-ounce box.
which contains 18.75 ounces of cereal.
For finding the scale factor we have to divide 18.75 by 12 and we get
= 18.75/12
= 1.56
So, the scale factor of a company that needs to use the family-size box is 1.56.
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ASAPPP HURRY UP PLSSS
Answer:
12
Step-by-step explanation:
what is the solution to the equation -5x-6x+9z=2.4?
Answer:
Infinite many solutions(Using Diophantines principle)
One of such solution is x=0, z=0.26666667
What is an
equation of the line that passes through the points (4,-4) and
(-6,-4)? PLEASE I HAVE TO AWNSER IN 5 minutes
Step-by-step explanation:
\(y = - 4\)
\(y = - 4\)
Answer:
y=-4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-4))/(-6-4)=(-4+4)/-10=0/-10=0
slope is 0
y-y1=m(x-x1) where m=slope
y-(-4)=0(x-4)
y+4=0
y=0-4=-4
y=-4
r is a relation on the set of all nonnegative integers. (a,b) is in r if a and b have the same remainder when divided by 5
The relation accepts reflexive, symmetry, and transitive.
Recall that a relation R is reflexive if the element (x, x) belongs to R for all elements X in the domain of R.
If (x, y) belongs to R, then follows that (y, x) must likewise belong to R, making the situation symmetric.
And it is transitive if (x, y) and (y, z) belongs to R necessarily implies that (x, z) belongs to R.
Given r is a relation on the set of all nonnegative integers R(a,b)
Reflexive - YES. A given number a will always have the same remainder when divided by 5.
Symmetric - YES. If a and b have the same remainder when divided by 5, then b and a are the same pair, so again they will have the same remainder.
Transitive - YES. If a and b as well as b and c have the same remainder when divided by 5, this is possible if both a and c also have the same remainder when divided by 5.
Therefore the relation accepts reflexive, symmetry, and transitive.
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To rent a certain meeting room, a college charges a reservation fee of $44 and an additional fee of $7.40 per hour. The history club wants to spend less than
$73.60 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your Inequality for t.
Answer:
t<4
Step-by-step explanation:
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
v=<8,3,5>
w=<2,2,2>
Find the cosine of the angle between v and w
If v=<8,3,5> w=<2,2,2>, the cosine of the angle between vectors v and w is approximately 0.93294.
To find the cosine of the angle between vectors v and w, we will use the formula:
cos(θ) = (v • w) / (||v|| ||w||)
where θ is the angle between the vectors, v • w is the dot product of v and w, and ||v|| and ||w|| are the magnitudes of v and w, respectively.
First, let's find the dot product (v • w):
v • w = (8 * 2) + (3 * 2) + (5 * 2) = 16 + 6 + 10 = 32
Next, let's find the magnitudes of v and w:
||v|| = √(\(8^2 + 3^2 + 5^2\)) = √(64 + 9 + 25) = √98
||w|| = √(\(2^2 + 2^2 + 2^2\)) = √(4 + 4 + 4) = √12
Now, let's find the cosine of the angle between v and w:
cos(θ) = (32) / (√98 * √12) = 32 / (9.899494936611665 * 3.4641016151377544) ≈ 0.93294
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The cosine of the angle between v and w is 0.9332
To find the cosine of the angle between v and w, we can use the formula:
cos(Ф) = (v.w) / (||v|| ||w||)
where Ф is the angle between v and w, the . represents the dot product, and || || represents the magnitude or length. First, let's calculate the dot product of v and w:
v.w = 8*2 + 3*2 + 5*2 = 32
Next, let's calculate the magnitudes of v and w:
||v|| = sqrt(8^2 + 3^2 + 5^2) = sqrt(98)
||w|| = sqrt(2^2 + 2^2 + 2^2) = sqrt(12)
Now we can substitute these values into the formula:
cos(Ф) = (v.w) / (||v|| ||w||)
cos(Ф) = 32 / (sqrt(98) * sqrt(12))
cos(Ф)= 32 / (sqrt(1176))
cos(Ф) = 32 / 34.29
cos(Ф)= 0.9332
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is a transformation involving the addition, subtraction, multiplication, or division of or by a constant.
Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.
For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.
Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.
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What was the purpose of Lend-Lease ?
The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set World War II.
The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.
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A researcher measures the relationship between two variables, X and Y. If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then what is the value of the correlation coefficient?
A) 0.32
B) 0.34
C) 0.60
D) almost a zero correlation
The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
Given that a researcher measures the relationship between two variables, X and Y.
If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.
Correlation coefficient:
The correlation coefficient is a statistical measure that determines the degree of association between two variables.
It is denoted by the symbol ‘r’.
The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.
How to calculate correlation coefficient?
The formula to calculate the correlation coefficient is as follows:
r = SS(XY)/√[SS(X)SS(Y)]
Now, substitute the given values, we get:
r = 340/√[320000]r = 0.34
Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
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solve using quadratic formula
\(2k {}^{2} - 3 = 0\)
Answer:
\(\bold{k=\pm\dfrac{\sqrt6}{2}\approx\pm1.22}\)
Step-by-step explanation:
\(2k^2-3=0\\\\a=2\,,\ \ b=0\,,\ \ c=-3\\\\k=\dfrac{-0\pm\sqrt{0^2-4\cdot2\cdot(-3)}}{2\cdot2}=\dfrac{\pm\sqrt{24}}{2\cdot2}=\dfrac{\pm2\sqrt{6}}{2\cdot2}=\pm\dfrac{\sqrt6}{2}\approx\pm1.22\)
WILL GIVE BRAINLIEST!
Please look at the photo for the question !!!
Answer:
-2
Step-by-step explanation:
the range is pattern is -4
\(\text{The answer is}~ -4~ \text{because the relation is}~ y = -4x + (-6)\)
The circumference of a circle is 20π m. What is the area, in square meters? Express your answer in terms of \piπ.
Answer:
A≈31.83
Step-by-step explanation:
pls can i have brainliest
The area of the circle is 100π square meters if the circumference of a circle is 20π m.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have
Circumference of a circle = 20π m
2πr = 20π
r is the radius of the circle
r = 10 m
Area = πr² = π(10)²
Area = 100π square meters.
Thus, the area of the circle is 100π square meters if the circumference of a circle is 20π m.
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What is the preprocessor directive for sqrt?
The sqrt() function returns the input, which is the square root. Passing a negative integer to sqrt() is forbidden!
What is a function?Mathematics department includes quantities and their variations, equations and related structures, shapes and their locations and places to find them. The term "function" refers to a relationship between a set of inputs, each of which has its own output. A relationship between inputs and outputs, where each input leads to one distinct output, is called a function. Each function is assigned a domain and a code area, ie. scope In general, f denotes functions (x). the input is x. There are four main types of features available. based on the following factors: functions, one-to-one functions, many-to-one functions, internal functions and functions.
The Sqrt() function provides an input, which it receives as a return value, which is the square root. Passing a negative integer to sqrt() is forbidden! Defining symbolic constants for use in programs requires the use of the #define Preprocessor directive.
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A farmer takes 1 day to fill 7 bins of corn. At this rate, how long will it take to fill 560 bins?
A beekeeper collects an average of 10 gallons of honey each month throughout the year. The beekeeper graphs the total gallons of honey collected in one year.
If x represents the number of months since the year began, and y represents the amount of honey collected, in gallons, which best represents the scales that would be used for the graph?The x-axis could be labeled from 0 to 10 with a scale of 1, and the y-axis could be labeled from 0 to 12 with a scale of 1.
The x -axis could be labeled from 0 to 10 with a scale of 1 , and the y -axis could be labeled from 0 to 12 with a scale of 1 .
The x-axis could be labeled from 0 to 12 with a scale of 1, and the y-axis could be labeled from 0 to 10 with a scale of 1.
The x -axis could be labeled from 0 to 12 with a scale of 1 , and the y -axis could be labeled from 0 to 10 with a scale of 1 .
The x-axis could be labeled from 0 to 12 with a scale of 1, and the y-axis could be labeled from 0 to 200 with a scale of 10.
The x -axis could be labeled from 0 to 12 with a scale of 1 , and the y -axis could be labeled from 0 to 200 with a scale of 10 .
The x-axis could be labeled from 0 to 200 with a scale of 10, and the y-axis could be labeled from 0 to 12 with a scale of 1.
The x -axis could be labeled from 0 to 12 with a scale of 1 , and the y -axis could be labeled from 0 to 200 with a scale of 10 .
How to determine the best scales that would be used to represent the graph?Given that:
A beekeeper collects an average of 10 gallons of honey each month throughout the year
Where x represents the number of months since the year began, and y represents the amount of honey collected, in gallons
Since the x-axis represents the months and we have 12 months in a year. Thus, the x-axis could be labeled from 0 to 12 with a scale of 1
Since the y-axis represents the amount of honey collected, in gallons and the beekeeper collects an average of 10 gallons of honey each month. Thus, the y-axis could be labeled from 0 to 200 with a scale of 10.
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Please answer im wasting pointss!!!!
Answer:
bfcfbdgbcbcvgb
Step-by-step explanation:
can someone please explain
how to do this
Answer:
93
Step-by-step explanation:
A + B +C = 180
75+51 + C =180
126 +C =180
C = 180-126 = 54
DCB : ACD = 2:1
DCB = 2x
ACD = x
2x+x=54
3x = 54 ; x = 54/3 = 18
DCB = 2x = 2 x 18 = 36
dcb + dbc + bdc = 180
51 + 36 + bdc = 180
87 + bdc = 180 ; bdc = 180 - 87 = 93
I hope im right!!
Answer:
the answer is 93°
Step-by-step explanation:
As you know that in a triangle,
angle1+angle2+angle3 = 180°
hence,
angle ABC + angle BAC + angle DCB + angle ACD ( Angle DCB + angle ACD = angle BCA) = 180°
75°+51°+2x+1x (let the ratio be x) = 180°
126°+3x = 180°
3x = 54°
x = 18°
2x = 36° = angle DCB
In triangle DCB,
51°+36°+angle BCD = 180°
angle BCD = 180°- 87°
Hence, angle BCD = 93°
a guitar string 61 cm long vibrates with a standing wave that has three antinodes. Which harmonic is this and what is the wavelength of this wave?
This is the fourth harmonic and the wavelength of the wave is 40.67 cm.
How to the harmonic of standing wave?For a standing wave on a guitar string, the length of the string (L) and the number of antinodes (n) determine the wavelength (λ) of the wave according to the formula:
λ = 2L/n
In this case, the length of the guitar string is 61 cm and the number of antinodes is 3. Therefore, the wavelength of the standing wave is:
λ = 2(61 cm)/3 = 40.67 cm
The harmonic number (i.e., the number of half-wavelengths that fit onto the string) for this standing wave can be determined by the formula:
n = (2L/λ) + 1
Plugging in the values of L and λ, we get:
n = (2(61 cm)/(40.67 cm)) + 1 = 4
Therefore, this standing wave has the fourth harmonic.
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parallel lines e and f are cut by transversal b. what is the value of x? 1 5 25 37
When parallel lines e and f are cut by transversal b, the value of x is 37.
Angle a and angle x are what is known as a pair of alternate interior angles, which means they are congruent (have the same measure).
When two parallel lines are crossed by a transversal, this is always the case.
Thus, we know that a and x have the same value, and we may represent this using an equation: a = x.
Because we know that a equals 80 degrees, we can substitute that value into the equation:80 = x
Next, we'll look at the bottom right angle, which we'll call b. When two parallel lines are crossed by a transversal, the angles created by the transversal on the same side of the parallel lines are known as corresponding angles.
Because they are on the same side of the transversal, corresponding angles are congruent.
As a result, we can equate the values of angle x and angle b using another equation: x = b.
Because we know that angle b equals 117 degrees, we can substitute that value into the equation:
x = 117
To solve for x, we will now set the two equations for x equal to each other:
80 = x
x = 117
x = 37
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Given the endpoints D(-2, 3) and L(4,1)
Find the midpoint of DL.
Answer:
Midpoint = (1,2)
Step-by-step explanation:
Using coordinates: D(-2,3) and L(4,1)
Using the midpoint formula:
Midpoint of DL = (D1 + L1) / 2, (D2 + L2) / 2
Midpoint of DL = (-2 + 4) / 2, (3 + 1) / 2
Midpoint of DL = (2) / 2, (4) / 2
Therefore the midpoint of DL is (1,2)
12. All items produced in a factory are checked for defects. Of the 300 items checked, 3% were found to be defective. How many of the items checked worked correctly?
Answer:
291
Step-by-step explanation:
The 3% of 300 is given by
\(300(0.03) = 9\)
so you have 9 defective items. This is 291 (from 300-9) items worked correctly.
ANOTHER WAY
if 3% are defective, 97% do work. So 97% of 300 is:
\(300(0.97)=291\\\)
So 291 items.
4(6x−5) Help please I dont know it never studyed on it smh!!!!
Answer:
24x - 20
Step-by-step explanation:
(4 x 6x) - (4 x 5)
= 24x - 20
Hey , I have a quick question about a Homework in math I got confused on how to solve the listed to formula \( \frac{x - 3}{2} - 4 \ \textless \ \frac{x}{3} \)
Solution
- The question would like us to solve the following
\(\frac{x-3}{2}-4<\frac{x}{3}\)- The solution is outlined below:
\(\begin{gathered} \frac{x-3}{2}-4<\frac{x}{3} \\ \\ Collect\text{ like terms:} \\ Add\text{ 4 to both sides and Subtract }\frac{x}{3}\text{ from both sides} \\ \\ \frac{x-3}{2}-\frac{x}{3}<4 \\ \\ We\text{ need the LCM of 2 and 3. } \\ The\text{ LCM is }2\times3=6 \\ \\ Thus,\text{ multiply both sides by 6 in order to remove the denominator} \\ 2\frac{}{} \end{gathered}\)\(\begin{gathered} 6\left(\frac{x-3}{2}\right?-6\left(\frac{x}{3}\right?<4\times6 \\ \\ 3\left(x-3\right)-2x<24 \\ Expand\text{ the bracket} \\ 3x-9-2x<24 \\ x-9<24 \\ Add\text{ 9 to both sides} \\ x<33 \end{gathered}\)Final Answer
The answer is x < 33
A car travels 50 miles per hour. At this rate, how far will the car travel in 4 hours?
The car will travel
miles.
Answer:
30 miles
Step-by-step explanation:
Which is the best approximation of the value of √66?
Since 66 is closer to 72.25 than 81, we can conclude that the best approximation of the value of √66 is approximately 8.15.
What is approximation?An approximation is a value or estimate that is close enough to the true value of a quantity or measurement, without being exact or precise. It is often used when it is difficult or impractical to find the exact value, or when an approximate value is sufficient for a particular purpose. Approximations are commonly used in mathematics, science, engineering, finance, and many other fields, and there are various methods and techniques for making approximations, such as rounding, truncation, estimation, and numerical methods.
Here,
The best approximation of the value of √66 is between 8 and 9, since 8²=64 and 9²=81. To get a more precise approximation, we can take the average of 8 and 9:
(8 + 9)/2 = 8.5
Now, we can check whether √66 is closer to 8.5 or 9 by squaring each number and comparing to 66:
8.5² = 72.25
9² = 81
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find in two ways: by using the chain rule, and by first substituting the expressions for and to write as a function of . do your answers agree? z
Yes, both methods give the same result. The chain rule is used to differentiate a composite function, while the substitution method is used to differentiate a function after substituting a variable with its expression.
The chain rule is used to differentiate a composite function, which is a function of a function. To use the chain rule, we differentiate the inner function and multiply it by the derivative of the outer function. In this case, we would have
f(x) = (\(x^2 + 3x + 2\)) and
g(x) = \(2x^3 + 5\)
The derivative of f(x) would be 2x + 3 and the derivative of g(x) would be \(6x^2\). Taking the product of these two derivatives, we get
\(12x^3 + 18x^2\),
which is the answer we get using the chain rule. The substitution method involves substituting a variable in a function with its expression. In this case, we substitute x with (\(x^2 + 3x + 2\)). This gives us a new function that is a function of \(x^2 + 3x + 2\)instead of x. We then differentiate this new function and the answer we get is the same as the one we got using the chain rule. Therefore, both methods give the same result and agree with each other.
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Find the total surface area of this cuboid.
Step-by-step explanation:
I just learned this in class lol
Find the area of all the sides.
This cubiod has 6 sides.
6 x 5 = 30
6 x 5 = 30
4 x 5 = 20
4 x 5 = 20
6 x 4 = 24
6 x 4 = 24
30 + 30 + 20 + 20 + 24 + 24 = 148
Thefore, the surface area of this cuboid is 148.
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if the simple interest on $5000 for 2 years is $700, then what is the interest rate
use the pythagorean theorem to find the unknown side of the right triangle? hii does anyone know the hypotenuse length?
Answer:
17
Step-by-step explanation:
8^2 + 15^2 = c^2
64 + 225 = c^2
√289 = c
c = 17
Answer:
yes the answer is 17
Step-by-step explanation:
all you have to do for next time is a^2+b^2=C^2
a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs