Answer:
$754.92
Step-by-step explanation:
699.00 plus 8% of 699.00 is 754.92
In 2022, a company made a profit of $1.38 million. That amount is $2.54 million more than the profit from 2021.
What is the profit from 2021? Write & solve an Algebraic Equation.
Area of circle when r is 14
Answer:
The area is 196π, or 615.752160 when evaluated to 6 decimal places.
Step-by-step explanation:
There is an equation for the area of a circle:
A=π[tex]r^{2}[/tex], Where A is the area and r is the radius. π is π, it is its own number. Plugging in the radius stated we can evaluate:
A=π([tex]14^{2}[/tex])
A=196π
If we write out π and evaluate with an (un)reasonable amount of decimal places:
π≅3.1415926536
A=196×(3.1415926536)
A≅615.752160
Answer:
A = [tex]\pi ^{2}[/tex]
Step-by-step explanation:
A≈615.75
Convert the rectangular equation to polar form
2x - y =3
Answer:
[tex]\dfrac{3}{2\cos\theta - r\sin\theta}[/tex]
Step-by-step explanation:
The polar coordinate system uses two parameters r and θ where r is the magnitude of the radius of the circle in polar form(also known as the radial coordinate) and θ the angle which the which the radius makes relative to the x=axis
The following equations are used to convert from cartesian coordinate to polar coordinates
[tex]r = \sqrt{x^2 + y^2}\\\\\\x = r\cos\theta\\\\y= r\sin\theta\\\\[/tex]
Substituting for x and y in terms of r and θ into the equation 2x - 3y = 3 gives
[tex]2x - y = 3\\\\2r\cos\theta - r\sin\theta = 3\\\\r(2\cos\theta - r\sin\theta = 3\\\\r = \dfrac{3}{2\cos\theta - r\sin\theta}[/tex]
Rule for Input/output table Input values: 1, 2, 3, 4, n Output values: -4,-2,0,2
Answer:
[tex]a_{n}[/tex] = 2n - 6
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 2 - (- 4) = 0 - (- 2) = 2 - 0 = 2
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 4 and d = 2 , then
[tex]a_{n}[/tex] = - 4 + 2(n - 1) = - 4 + 2n - 2 = 2n - 6
the rule is then 2n - 6
is the equation below represent a direct proportion. if so what is the constant 3x + 4 = y
The expression for a linear equation in thee slope-intercept form is ,
y = mx + b
the slope = m= (y2-y1)/ (x2-x1)
y-intercept is (0, b)
___________________
Rearreging tha expresion
y = 3x + 4
The rate is the slope (m) = 3
__________________________
Answer
the constant, in this case, is 3
sarah has 85 and 89 on her first two math 23 tests. what must she get on the third test to have at least 90% test average?Assume three tests and represent the problem with an inequality
The value that Sarah must she get on the third test to have at least 90% test average is represented by the inequality x ≥ 96.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that two expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤.
In this case, Sarah has 85 and 89 on her first two math 23 tests.
Let the third test be represented as x. This will be illustrated as:
(85 + 89 + x) / 3 ≥ 90
Cross multiply
85 + 89 + x ≥ 90 × 3
174 + x ≥ 270
Collect like terms
x ≥ 270 - 174
x ≥ 96
The value is x ≥ 96.
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The area of a square is 144 square meters. What is the length (in meters) of one side of the square?
Answer:
12 m
Step-by-step explanation:
area = (side)²
(side)² = area
√(side)² = √(area)
side = √(area)
side = √(144 m²)
side = 12 m
Just need the answer A, B , C or D
Answer:
A. 2.25 feet.
Explanation:
We know the following equation:
[tex]v=\sqrt[]{2gh}[/tex]Where v is the speed, g is the gravity and h is the height. So, replacing v by 12 feet per second and g by 32 feet per second square, we get:
[tex]12=\sqrt[]{2(32)h}[/tex]So, solving for h, we get:
[tex]\begin{gathered} 12=\sqrt[]{64h} \\ 12^2=(\sqrt[]{64h})^2 \\ 144=64h \\ \frac{144}{64}=\frac{64h}{64} \\ 2.25=h \end{gathered}[/tex]Therefore, the answer is A. 2.25 feet.
x + 6Identify the vertical asymptotes of f(x)(1 point)- 9x + 18O x= -6 and x = -3O x= -6 and x = 3oO x = 6 and x = -3O x = 6 and x = 3
So we want to find the vertical asymptotes of the function:
[tex]f(x)=\frac{x+6}{x^2-9x+18}[/tex]Remember that there's a vertical asymptote at points of x where the denominator of the rational function is 0.
So, equal the denominator to zero:
[tex]x^2-9x+18=0[/tex]And solve this equation for x as follows:
We could factor
[tex]\begin{gathered} x^2-9x+18=0 \\ (x-6)(x-3)=0 \end{gathered}[/tex]Now, notice that any of both factors could be zero, so:
[tex]\begin{cases}x-6=0\to x=6 \\ x-3=0\to x=3\end{cases}[/tex]Therefore, the function has vertical asymptotes at x=6 and x=3.
14. In exercise 13, suppose grapes cost
$2.35 per pound, oranges cost $0.99 per
pound, and apples cost $1.65 per pound.
Estimate how much Adrian paid for all
the fruit.
Assume grapes cost $2.35 per pound, oranges cost $0.99 per pound, and apples cost $1.65 per pound in exercise 13. Adrian paid a total of $5 for the fruits.
What is Estimation?Calculations are made easier and more realistically when a number is estimated, which is a plausible estimation of its true value.To estimate something is to approximate it as accurately as possible.To acquire a quick and approximate response, this is obtained by rounding off the values used in the calculation. Rounding integers to the closest whole number is the simplest method for estimating. Rounding off makes getting a rough answer quicker. Koel, for instance, makes a 3950 monthly deposit toward the cost of her new home. This value can be rounded out to 4000 to make the calculation easier. To round a number, determine its nearest required digit. To avoid working with fractions or decimals, numbers are frequently rounded to the next whole number.Therefore,
The cost of Grapes = $2.35 per pound
The cost of Oranges = $0.99 per pound
The cost of Apples = $1.65 per pound
If Adrian purchased one pound of each fruit,
He paid:
$2.35 + $0.99 + $1.65 = $4.99 = $5 (Approx.)
So, Adrian paid $5 in total for the fruits.
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How many solutions does the following system of equations have?
2x - Y=3
-4x + 2y=5
Answer:
no solutions
Step-by-step explanation:
2x - y = 3 → (1)
- 4x + 2y = 5 → (2)
multiply (1) by 2 and add to (2)
4x - 2y = 6 → (3)
add (2) and (3) term by term
0 + 0 = 11
0 = 11 ← not possible
this indicates the system has no solution
Ben walked for 8 1/2 minutes and
covered
3/4 of a mile.
The unit rate of Ben is 8.5 minutes.
What is Unit Rate?An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.A ratio that compares two amounts of DIFFERENT types of UNITS is called a rate. When a rate is expressed as a fraction, the denominator is 1 unit. Divide the numerator and denominator of the rate by the denominator to represent a rate as a unit rate.Unit rates may seem difficult to understand, but it explains a specific unit of measurement based on a rate of time (usually).
For this problem, we are looking for how many miles Ben walked per minute — so the goal is miles per minute
We know Ben walked a total of 3/4 of a mile (or .75 miles) and it took him 8 1/2 minutes to do it (or 8.5 minutes)Since we want miles per minute we need to divide the miles by the minutes.So, calculate:
.75 miles. = 0.088 miles per minute8.5 minutesTherefore, the unit rate for Ben is 8.5 minutes.
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Complete question:
Ben walked 3/4 of a mile in 8 1/2 minutes. Find the Unit Rate.
Zachary purchased a computer for
$1800 on a payment plan. He plans to
pay $150 per month on his payment
plan. What is an equation that models
the balance y after x months?
Answer:
y= 1 800- 150x
Step-by-step explanation:
y= 1 800- 150x
Please Help me graph the linear equation!! 70 Points
Answer:
Step-by-step explanation:
We will follow the same steps as in the previous question. First, we can start by leaving the variable [tex]y[/tex] alone.
[tex]2y=5x+11[/tex][tex]y=\frac{5x+11}{2}[/tex]In this step, let's be careful to give the variable [tex]x[/tex] odd numbers. The rational expression will then be an integer.
For [tex]x=1,y=8[/tex]For [tex]x=-1, y=3[/tex]For [tex]x=-3, y=-2[/tex]Finally, connect these three points. You can see the connected version in the photo. Good luck!
when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction
Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate. lacking in strength or substance.
How many participants in Milgram's study obeyed all the way to the end?In his book Understanding Milgram's Work Today, Robert Burger pointed out that in the original experiment, 79 percent of subjects who persisted after the learner's initial screams at 150 volts persisted all the way to the end of the scale, at 450 volts.The experiment had only one variation in which 26 out of 40 subjects obeyed, and this variation is where the figure of 65% of people following orders applied. In certain iterations of the study, not a single participant heeded the experimenters' commands, while in other modifications, many fewer participants were willing to do so.To learn more about Milgram's study refer to:
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Which compound inequality is equivalent to the absolute value inequality lbl >6?
hand
Answer:
b > 6, b < -6
Step-by-step explanation:
Hello!
Using absolute value rules:
|b| > 6; b > 6, b < -6The compound inequality is as follows: b > 6, b < -6
This makes sense because all values turn positive in the asbolute value. So a number that is negative and less than -6 (say -7), would turn positive to be 7, which is greater than 6.
And any number already greater than 6 will always be greater than 6.
72.1232 rounded to the nearest thousandth
72.1232 rounded to the nearest thousandth is 72.123.
What does it mean to round to the nearest thousandth?The term "rounding to the nearest thousandth" refers to the practice of rounding any decimal number to the next thousandth value. Thousandth in the decimal system signifies (1/1000) or 0.001. 3.125, for example, is the number 3.1249 rounded to the closest thousandth.
To round it to the closest thousandth, we must focus on the number following this spot - tens of thousandths. This figure will determine whether we round up or round down. "Five and above go up like a bird," as the phrase goes. Therefore, this will give a value of 72.123.
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can anyone help on this
-3+(-17)
Robert has 3 black marbles in a bag, along with 5
marbles of other colours. Robert picks a marble from the bag without looking. What is the probability that Robert picks a black marble?
The probability that Robert picks a black marble is 3/8. The result is obtained from the ratio of the number of black marble to all marbles.
What is probability?Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.
Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceIn case Robert has 3 black marbles and 5 marbles of other colors, then he picks a marble randomly, what is the probability of picking black marble?
Total number of marbles is 3 + 5 = 8.
n(S) = 8
Number of black marble is 3.
n(A) = 3
The probability of picking black marble is
P(A) = n(A) / n(S)
P(A) = 3/8
Hence, the probability that Robert picks a black marble is 3/8.
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(7g - 6) - (-3n - 4) find the difference and show your work. Please this is due tomorrow
Answer:
7g + 3n - 2
Step-by-step explanation:
(7g - 6) - (-3n - 4)
7g - 6 + 3n + 4
7g + 3n - 2
I hope this helps!
Simone Buys A shirt and a hat. The hat costs 6 the shirt costs 5 times as much as the hat. How much more does the shirt cost than the hat? Break up the problem and two small steps use a more models and equation to complete each step find how much to shirt cost find how much more shirt cause then the hat
The equation to find the cost of the shirt is s = 5h and the cost is 30.
What is an equation?An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario
Cost of the hat = 6
The shirt costs 5 times as much as the hat. Therefore, this will be:
s = 5h
where s = cost of shirt
h = cost of hat
The cost will be:
s = 5h
s = 5 × 6
s = 30.
The cost is 30.
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Answer:
11
Step-by-step explanation:
You will just add 6+5=11
Fill in the blanks to demonstrate the Multiplicative Inverse Property.
9/7* =
4/3* =
5 1/3* =
The multiplicative inverse property of the questions that we have here are:
9/7* = 9/7 x 7/9 = 14/3 = 4/3 * 3/4 = 15 1/3 = 16/3 * 3/16 = 1What is the multiplicative inverse property?This is the term that is used in Mathematics to show that we are to multiply a fraction by the inverse of that fraction.
A good example of this would be the form that is written as:
1/a would have the inverse property written as a/1
such that 1/a *a/1 = 1
In the same way,
we have
9/7 * 7 / 9 = 1
4/3 * 3/4 = 1
5 1/3 = 16 / 3 * 3/ 16 = 1
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Let f(x) = 2x + 8, 9(x) = x2 + 2x – 8, and h(x) = 3x - 6. Perform the indicated operation. (Simplify as far as possible.) (h. f)(3) = =
x=3
[tex]\begin{gathered} 6\cdot3^2+12\cdot3-48 \\ 6\cdot9+36-48 \\ 54+36-48=42 \end{gathered}[/tex]same as my last two questions
The intervals to the given function are as follows:
Domain: (-∞,∞).Range: (-∞,∞).Rel. maximums: (1.366, -0.652).Rel. minimums: (-0.366, -5.848) and (2,-1).End behavior: As x -> -∞, f(x) -> ∞, and as x -> ∞, f(x) -> ∞.Inc. intervals: (-0.366, 1.366) U (2, ∞).Dec. intervals: (-∞, -0.366) U (1.366, 2).Domain and rangeDomain: Set of values of the input of the function, hence the values of x in the graph of the function.Range: Set of values of the output of the function, hence the values of y in the graph of the function.This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).
Increasing and decresingFrom the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:
Decreasing: Right and down.Increasing: Right and up.Hence the intervals are given as follows:
Increasing: (-0.366, 1.366) U (2, ∞).Decreasing: (-∞, -0.366) U (1.366, 2).Relative maximum and relative minimumThe relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:
(-0.366, -5.848) and (2,-1).
The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:
(1.366, -0.652).
End behaviorThe end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:
Left: Moves up, hence as x -> -∞, f(x) -> ∞.Right: Moves up, hence as x -> ∞, f(x) -> ∞.More can be learned about functions at https://brainly.com/question/28949511
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Hi I need this Answered right now please I have school in 60 min
At a school, 460 of the students walk to school
Thew number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?
3. Your boss asks you to compare three phone plans. Identify the cheapest plan when an average of 190 text messages are sent each month. • Plan A costs a basic fee of $29.95 per month and 13 cents per text message • Plan B costs a basic fee of $53.00 per month and has unlimited text messages. • Plan C has no basic fee, but charges $0.28 per text message. 2021 Illuminate Education. Inc
Analyze each plan according to the given specifications.
Plan A:
The basic fee must be added to the product of 0.13 and the average messages sent.
[tex]29.95+190\cdot0.13=54.65[/tex]Plan B:
It already includes the cost for unlimited messages.
[tex]53.00[/tex]Plan C:
The plan costs the product of 0.28 and the average messages sent.
[tex]190\cdot0.28=53.2[/tex]When comparing these plans, the cheapest one is Plan B, which only costs $53.00.
for every 1-kilometer increase in altitude, the temperature drops 7 degrees Celsius. Find the temperature change from a 5-kilometer altitude increase.
The temperature change from a 5 - kilometer altitude increase is 35 degrees.
It is given in the question that for every 1-kilometer increase in altitude, the temperature drops 7 degrees Celsius.
We have to find the temperature change from a 5-kilometer altitude increase.
As, for 1 km altitude increase, the temperature drops by 7 degrees, hence by using unitary method, we can say that,
For 5 km altitude increase, the temperature will decrease by 7*5 = 35 degrees.
Unitary Method
The unitary method is generally a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.
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I have two cans of paint. Can a has 9 parts of blue paint to one part of yellow paint. Can b is 20 percent blue paint and the rest is yellow paint. How much paint should i use from each can to obtain 9 liters of paint which is half blue and half yellow.
The amount of paint that must be used from can A and can B is 3.86 liters and 5.14 liters respectively to obtain 9 liters of paint which is half blue and half yellow.
Can A has 9 parts of blue paint and 1 part of yellow paint, this can be expressed in percentage as;
Can A = 90% blue, 10% yellow
Similarly,
Can B = 20% blue, 80% yellow
Now consider an algebraic expression as follows;
A + B = 9 liters
90% A + 20% B = 50% [Blue]
10% A + 80% B = 50% [Yellow]
Resolving;
90% A + 20% B = 10% A + 80% B
80% A = 60% B
Solving the equation, A + B = 9, for one variable;
A + B = 9
B = 9 - A
80% A = 60% (9 - A)
80% A = 540% - 60% A
140% A = 540%
A = 3.86 Liters
Now solving for B;
B = 9 - A
B = 9 - 3.85
B = 5.14 Liters
Therefore 3.86 liters should be used from can A and 5.14 liters should be used from can B.
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9x+3y=-6 rewrite this equation in slope intercept form (y=Mx+b)
Hello I just need help with A and B on my homework I was able to complete C
ANSWERS
a) 58
b) 62.2
EXPLANATION
a) The median is the middle value. It separates the data set in two. To find the median we have to put the data in order, from least to greatest:
[tex]44,49,53,54,58,74,74,74,80[/tex]The number of data is odd, this means that the median will be one of the values of the data set and not a mean between two of them. If there are 9 values, the median is the 5th value - so we have 4 values to the left and 4 values to the right.
The first 4 values are 44,49,53,54, so the median is 58.
b) The mean is the sum of all values of the data set divided by the amount of data:
[tex]\bar{x}=\frac{44+49+53+54+58+74+74+74+80}{9}=\frac{560}{9}=62.2222\ldots[/tex]Rounded to one decimal place, the mean is 62.2