Answer:
y = 28
Step-by-step explanation:
1/4y=7 | Given
y = 28 | Multiplicative property of equality (multiply 7 by the denominator of 1/4y)
if i got a F this quarter but all passing grades last quarters yall think i would have summer school ?
Answer:
I dont know
Step-by-step explanation:
Answer:
Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)
Step-by-step explanation:
Drake is an online sales representative who makes $37,500 per year plus a $6.75 fee for each sale he makes. If Drake makes an average of 200 sales per month, what are his annual earnings
Answer:
\(Annual\ Earnings = \$53700\)
Step-by-step explanation:
Given
\(Earnings = \$37500\) (yearly)
\(Average\ Sales = 200\) (monthly)
\(Sales = \$6.75\)
Required
Determine the total annual earnings
First, we need to determine the earnings from sales in a year
There are 12 months in a year;
So:
\(Total\ Sales = 200 * 12 * \$6.75\)
\(Total\ Sales = \$16200\)
Annual Earnings is then calculated as thus:
\(Annual Earnings = \$16200 + \$37500\)
\(Annual\ Earnings = \$53700\)
I need help plzz I need the answer
I have a problem with a concept in math and I want to know how to solve it
Given
diameter = 5 inches
d: diameter
Procedure
the formula for the circumference of a circle is 2 x pi x r(radius).
r = d/2
r = 5/2 = 2.5 inches
\(\begin{gathered} C=2\pi r \\ C=2\cdot3.14\cdot2.5 \\ C=15.7\text{ inches} \\ \end{gathered}\)The answer would 16 inches (rounded)
sec θ = -5/2, θ in Quadrant 3
Convert 121 days to seconds
Answer:
10,454,400 sec
Step-by-step explanation:
1Day=24hr
1hr=60min
1min=60sec
121 days=121*24*60*60=10,454,400sec
Use long hand division to determine if (x-1) is a factor of 4x^4 + 7x^2 - 5x + 1
Answer:
\( \bold{quotient } = {4x}^{3} + {4x}^{2} + 13x + 8 \\ \bold {remainder} = 9\)
Step-by-step explanation:
See the attached image.
The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)
Answer:
Step-by-step explanation:
Average price of a two bedroom apartment can be approximated by the equation,
p(t) = \(0.12e^{0.10t}\)
Here, t represents the duration from year 1994.
Duration from year 1994 to year 2004 = 10 years
p(10) = \(0.12e^{0.10\times 10}\)
= 0.12e
= 0.3262
≈ 0.33 million
Cost of the apartment in 2004 was 0.33 million.
Let the equation to calculate the rate of increase in the price is,
p(t) = \(0.12(1+\frac{r}{100})^t\)
Cost of the apartment after 10 years = 0.33
0.33 = \(0.12(1+\frac{r}{100})^{10}\)
\(\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}\)
2.75 = \((1+\frac{r}{100})^{10}\)
\((1+\frac{r}{100})=(2.75)^{0.10}\)
1 + \(\frac{r}{100}=1.106\)
\(\frac{r}{100}=0.106\)
r = 10.6%
Therefore, price of the apartment is increasing with 10.6%
find a polynomial function with the leading coefficient one or negative 1 that has the given zeros multiplicity and degrees 01 multiplicity to 03 multiplicity to degree 4
The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
Find a polynomial function ?The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
It then crosses the -6 root to turn positive until it again crosses the -2 root.
(It crosses because the odd multiplicity of both roots)
The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.
In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).
Then it crosses the -6 root to become positive until it crosses again the root -2.
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help pls! I need the answer quickly and pls explain. thank you!
Answer:
h = 6\(\sqrt{3}\)
Step-by-step explanation:
The given is the special right triangle with angle measures : 90-60-30
and the side lengths for the given angles are represented by :
2a-a\(\sqrt{3}\)-a
the side length that sees 60 degrees is represented by a\(\sqrt{3}\) (h in this case)
the area of a triangle is calculated by multiplying height and base and that is divided by 2
a\(\sqrt{3}\)*a/2 = 18\(\sqrt{3}\) multiply both sides by 2
a^2\(\sqrt{3}\) = 36\(\sqrt{3}\) divide both sides by \(\sqrt{3}\)
a^2 = 36 find the roots for both sides
a = 6
since h sees angle measure 60 and is represented by a\(\sqrt{3}\)
h = 6\(\sqrt{3}\)
A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house.
(a) What is the measure of the angle formed by the ladder and the level ground? Round your answer to the nearest degree. Show your work.
(b) The Occupational Safety and Health Administration (OSHA) sets standards for a variety of occupations to help prevent accidents and other safety hazards. OSHA’s standard for the angle formed by a ladder and level ground is . The same 10-foot long ladder is placed against the building according to OSHA’s safety standard.
What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth. Show your work.
Answer:
a. 67°
b. 3.9 ft
Step-by-step explanation:
a) the angle formed by the ladder and the level ground = sin`¹ 0.92 = 67°
b) the distance between the foot of the ladder and the foot of the building = 10× cos 67°
= 10 × 0.39 = 3.9 ft
In an experiment, a fair four-sided die (its faces are labeled 0, 1, 2, 3) is thrown once. The outcome of the throw determines how many times a fair coin is to be flipped: if N is the number that results from throwing the die, we flip the coin N times. Let K be the total number of heads resulting from the coin flips.
Answer:
Step-by-step explanation:
If
a
=
−
1
,
what is the value of the expression
3
−
a
(
8
−
2
a
)
?
−
7
− − 7
−
2
- 2
10
10
13
Evaluating an algebraic expression is the process of determining the value of an expression when a specified integer is used to replace a variable.
Explain about the expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
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To indirectly measure the distance across a lake, Bilquis makes use of a couple
landmarks at points R and S. She measures QU, US, and TU as marked. Find the
distance across the lake (RS), rounding your answer to the nearest hundredth of a
meter.
The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.
What is the triangle?Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.
Given:
The sides QU = 140 m, US = 115 m, TU = 104.55 m
As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,
QU / QS = TU / RS
140 / 140 + 115 = 104.55 / RS
140 / 255 = 104.55 \ RS
RS = 104.55 × 255 / 140
RS = 190.43 or 200 m
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Answer: 190.43m
Step-by-step explanation:
In Photo
laws of exponents, simplify !!
Which of the following is a reciprocal of 5
Hi :)
The reciprocal of 5 is 1/5.
Every number has a reciprocal except 0.
For example
5/1 is just 5 but the reciprocal of that would be 1/5.
Essentially flipping the fraction.
Answer: \(\frac{1}{5}\)
Step-by-step explanation:
Reciprocal means the multiplicative inverse of a number. It means the numerator and the denominator which their places.
Since 5 does not have a denominator, we can keep the denominator as 1. The fraction will be \(\frac{5}{1}\). Now when we switch the numerator and denominator, we will get \(\frac{1}{5}\).
A Potter makes bowls and planter pots. The table shows the pounds of clay needed and amount of time it takes to make one of each item. By summer the Potter worked for 220 hours. He used 150 pounds of clay. How many bowls and planter pots did he make?
Using a system of equations, the potter made 5 bowls and 10 planter pots.
What is a system of equations?A system of equations, which is also known as simultaneous equations, is two or more equations solved simultaneously.
There are four methods for solving simultaneous equations: graphical, elimination, substitution, and matrix methods.
Bowl Planter Pot
8 hours 18 hours
2 pounds 14 pound
Total hours worked in summer = 220 hours
Total pounds of clay available = 150 pounds
Equations:Let b = bowl and p = planter pot
Equation 1: 8b + 18p = 220
Equation 2: 2b + 14p = 150
Equation 3 from Equation 2: b = 75 - 7p
Substitute b in Equation 1 with the value of b in Equation 3:
8(75 -7p) + 18p = 220
600 - 56p + 18p = 220
-38p = -380
p = 10
In Equation 3:
b = 75 - 7(10)
b = 5
Thus, by setting and solving simultaneous equations, we can conclude that the potter made 5 bowls and 10 planter pots during the summer with 150 pounds of clay, working for 220 hours.
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Question Completion:Bowl Planter Pot
8 hours 18 hours
2 pounds 14 pounds
? - 6= - 7
what is the answer
Answer:
8
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
(-6)+(-1)= -7
If you are in a capsule at the top of the Orlando Eye, standing approximately 400 ft above ground and you are looking at the Amway Center which is approximately 15,840 fr away what is your angle of depression?
how many miles is 15,840 feet?
Hello!
For this type of problem, it is very helpful to draw your problem out, but I'll attempt to explain it in words, feel free to draw it out if you are able to!
You'll be solving this problem using trigonometry, meaning that we'll be creating a triangle to represent this problem.
If you are standing approximately 400 feet above the ground, that means the vertical leg of the triangle will be the value 400.
We are also given that the Amway Center is approximately 15840 feet away, meaning that the leg on the bottom will be a value of 15840.
This triangle will also create a right angle at the intersection of the two legs mentioned above, meaning that right triangle trigonometry can be applied to this problem.
What trigonometry identity can be used to find the angle of depression when we are given the adjacent and opposite legs? (SOH-CAH-TOA)
We'll be using tangent.
\(tan(x)=\frac{15840}{400}\)
Remember to set your calculator to the degrees mode and take the inverse tangent of the ratio.
\(x=88.553\)
To convert from 15840 feet to miles, use the conversion 5280 feet to miles.
\(15840ft*\frac{1mi}{5280ft}=3mi\)
Hope this helps!
chloe has three dogs. Corky weighs twice as much as muffin.Rufus weighs twice as much as corky. the total weight of the dog is 77 pounds. how much does each dog weigh?
Answer:
Corky = c = 22 pounds
Muffin = m = 11 pounds
Rufus = r = 44 pounds
Step-by-step explanation:
Let the weight of each dog be represented as
Corky = c
Muffin = m
Rufus = r
The total weight of the dog is 77 pounds.
c + m + r = 77
Corky weighs twice as much as muffin.
c = 2m
m = c/2
Rufus weighs twice as much as corky.
r = 2c
Hence
c + c/2 + 2c = 77
3.5c = 77
c = 77/3.5
c = 22 pounds
m = c/2
m = 22/2
m = 11 pounds
r = 2c
r = 2 × 22
r = 44 pounds
Each dog weighs:
Corky = c = 22 pounds
Muffin = m = 11 pounds
Rufus = r = 44 pounds
Which graph represents the function f(x) = -|x| − 3?
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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What is the greatest common factor of 8,16,40
Step-by-step explanation:
To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.
Let's first find the prime factorization of each number:
- 8 = 2 * 2 * 2
- 16 = 2 * 2 * 2 * 2
- 40 = 2 * 2 * 2 * 5
Now, let's identify the common factors by finding the minimum exponent for each prime factor:
- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).
- 5 is not a common factor since it appears only in the prime factorization of 40.
The GCF is obtained by multiplying the common factors with their respective minimum exponents:
GCF = 2^2 = 4
Therefore, the greatest common factor of 8, 16, and 40 is 4.
Students took a survey to determine their end of year field trip. The results showed that 120 students wanted to go to an amusement park. This number represents 40% of the students who took the survey. What was the total number of students who took the survey?
Answer:
300
Step-by-step explanation:
Angie bought 312 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?
4. Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
How long will it take for Peter to finish the job alone?
How long will it take for Emily and Peter to finish the job together.
According to the unitary method,
A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.
B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.
Unitary method:
In math, unitary method refers the process of finding the value of a single unit, and based on this value.
Given,
Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
Here we need to find the following:
A) The time take for Peter to finish the job alone
B) The time taken for Emily and Peter to finish the job together
Let us consider x be the time taken for Peter to finish the job alone.
So, based on the given question we can write it as,
=> 1/6 + 1/8 + 1/x = 1/2
=> (8 + 6)/48 + 1/x = 1/2
=> 14/48 + 1/x = 1/2
=> 7/24 + 1/x = 1/2
=> 1/x = 1/2 - 7/24
=> 1/x = 12 -7/24
=> 1/x = 5/24
=> x = 24/5
=> x = 4.8
So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.
Then the time taken for Emily and Peter to finish the job together is calculated as,
=> 5/24 + 1/6
=> 5 + 4/ 24
=> 9/24
=> 3/8
Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.
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fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Express each decimal as a fraction or mixed number in simplest form.
9-4.
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
(9×1)−(4×1)1×1
=9−4/ 1
=5/1
=5
On a piano, the formula to determine the frequency of any pitch relative to the A above middle C (A440) is given by
the expression 1ž, where x represents the the number of half-steps above or below A440. Which of the
Rx) - 440(2)
following is equivalent to 1x)?
440. xV212
O 440-12122
440•'97
440• */212
Mark this and retum
Save and Exit
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Submit
Using exponential properties, it is found that the equivalent expression to the frequency of any pitch is given by:
\(f = 440\sqrt[12]{2^{10}}\)
How to transform an exponent to a power?It happens according to the following rule, with the denominator as the root and the numerator as the exponent:
\(a^{\frac{n}{m}} = \sqrt[m]{a^n}\)
The rule for the frequency is given by:
\(f = 440(2)^{\frac{10}{12}}\)
Hence the equivalent expression to f is given by:
\(f = 440\sqrt[12]{2^{10}}\)
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is (-5,-5) a solution of y > -2x+ 4
the > has a line under it , greater than equal to
Answer:
no it is not
Step-by-step explanation:
The left side −5-5 is less than the right side 14 14, which means that the given statement is false.
False