[tex]a = \pi \: r {}^{2} \\ r {}^{2} = \frac{a}{\pi} \\ r = \sqrt{ \frac{a}{\pi} } [/tex]
Answer: First OptionWhat is the slope of this graph?
- 1/3
1/3
3
-3
Please help me I need help
Answer:
2
Step-by-step explanation:
8+14 = 22
22-5 = 17
17-7 = 10
10+3 = 13
13-7 = 6
6-4 = 2
Answer:
d) 2
Step-by-step explanation:
15 / 53
Work out the equation of the line which passes through the point (-1, 2)
and is parallel to the line y = x + 4?
The equation of the line for the point (-1, 2) is [tex]y=x+3[/tex]
The slope of a line is the ratio of how much y increases when x increases by a certain amount.The graph of the linear equation y = mx + c is a straight line with slope m and y-intercepts m and c. This form of linear equation is called the slope intercept, and the values of m and c are real numbers. The slope m represents the slope of the straight line. The y-intercept b of the line represents the y-coordinate of the point where the line graph intersects the y-axis.The equation of a line whose slope is 'm' and which passes through a point [tex](x_1,y_1)[/tex] is found using the point slope form which is given by [tex]y-y_1=m(x-x_1)[/tex] ..(1)It is given that line is parallel to the line y = x + 4 . ....(2)
On comparing equation (2) with the slope intercept form which is y = mx +c , we get m = 1 . For parallel lines slope is same .
It is given that line passes through the point (-1, 2).
Putting [tex]y_1=2,\ x_1=-1[/tex] and m = 1 in equation (1) , we get
[tex]y-2=1(x-(-1))\\y-2=x+1\\y=x+3[/tex]
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PLEASE HELPP!!! 7(5h - 4) - 1 = 14 - 8h Show your work!!!!
Answer: h=1
Step-by-step explanation:
multiple 5h and -4 by 7
35h-28-1=14-8h
35h-29=14-8h
add 29 to both sides
35h=43-8h
43h=43
i think this is right...
The given equation is,
→ 7(5h - 4) - 1 = 14 - 8h
Now the required value of h will be,
→ 7(5h - 4) - 1 = 14 - 8h
→ 35h - 28 - 1 = 14 - 8h
→ 35h - 29 = 14 - 8h
→ 35h + 8h = 14 + 29
→ 43h = 43
→ h = 43/43
→ [ h = 1 ]
Hence, the value of h is 1.
-8(b+3) what is the answer
Answer:
Either -8b - 24 or b = 3
Step-by-step explanation:
Answer: - 8b - 24
Distributive property
the difference between three times a number and 16 is at least 8
The algebraic expression become 3n-16<8.
According to the statement
We have to find that the numerical expression.
So, For this purpose, we know that the
Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
From the given information:
the difference between three times a number and 16 is at least 8
Then
From 1st statement it become 3n -16
And with other statement and combining
Then the equation become
3n-16<8
Now solve the expression for the value of the n
then it becomes
3n<24
n<8.
The value becomes is 8.
So, The algebraic expression become 3n-16<8.
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What is the marginal distribution of males? Weight Class vs. Gender
Underweight At Goal Weight Overweight Total
Male 93 206 81 380
Female 37 446 137 620
Total 130 652 218 1000
A. 62.0% B. 38.0% C. 13.0% D. 65.2%
The marginal distribution of males is 13 %
A two-way frequency table shows the frequencies (or "counts") of two categorical variables.
For example, the following two-way table displays the results of a study in which 100 participants were asked which sport they preferred: baseball, basketball, or football.
The rows represent the respondent's gender, while the columns show which sport they chose:
There are two variables in this example: Sports and Gender.
A marginal distribution is simply the sum of the distributions of these separate variables. The marginal distributions in a two-way table are shown in the table margins: Marginal distributions are valuable because, while we frequently collect data for two variables (such as Sports and Gender), we may have particular questions regarding only one variable.
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Solve the system of equations using elimination: -6x - 6y = −42 and -x + 2y = 8.
The solution of given system of equations is 6 and 7.
To solve the system of equations using elimination, we will equate any one variable. In this case, we will be equating variable y.
Rewriting the equations -
-6x - 6y = −42 : equation 1
-x + 2y = 8 : equation 2
Multiplying equation 2 with 3
-3x + 6y = 24 : equation 3
Adding equation 1 and equation 3 to solve the given system of equations
-6x - 6y = −42
3x + 6y = 24
We get the answer :
-3x = -18
Negative sign will be cancelled and performing division
x = 6
Keep the value of x in equation 2
-6 + 2y = 8
2y = 8 + 6
2y = 14
y = 14 ÷ 2
y = 7
Therefore, the value of x and y is 6 and 7 in given system of equations.
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Part B
Assume the statement is true for n=k. Prove that it must be true for n=k+1, therefore proving it true for all natural
numbers, n.
Hint: Since the total number of dots increases by n each time, prove that d (k) + (k+1)=d(k+1).
BIUX¹ X₂ 15px
AVE
V
We have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.
Mathematical Induction : For each and every natural number n, mathematical induction is a method of demonstrating a statement, theorem, or formula that is presumed to be true.
It is given that the statement is true for n = k
Explanation:
According to the principle of Mathematical Induction,
Let d(n) be a statement involving Natural Number n such that
d(1) is true
d(m) is true
d(m+1) is true
So , the statement d(n) is true for all the n natural numbers.
According to the second principle of Mathematical Induction
Let d(n) be a statement involving Natural number n such that
d(1) is true
d(m) is true when d(n) is true for all n where 1 ≤ n ≤m .
Then the statement d(n) is true for all the values of n ( natural number)
Therefore , we have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.
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A man borrows #760 at 4% and of the first year he pays back #270 after another year he repays #280. At the end of the third year he clears the debt completely. what is his final payment ?
His final payment will be $271.66464 at the end of the third year.
What is compound interest?The term "compound interest" refers to interest that is added back to the principal amount during each compounding period.
Compound interest is calculated using the formula
A = P(1+r )ⁿ, where
P = principal balance,
r = interest rate,
n = number of periods.
Given that a man borrows $760 at 4% and of the first year he pays back $270.
Amount owned by him at the end of the first year after repaying $270 = (1+4%)760 - 270
= 1.04×760 - 270
= $520.4
Amount owned by him at the end of the second year after repaying $280 = (1+4%)520.4 - 280
= 1.04×520.4 - 280
= 541.216 - 280
= $261.216
Let his final payment be x.
So, the amount owned by him at the end of the third year will be 0.
⇒ (1+4%)261.216 - x = 0
⇒ 1.04×261.216 - x = 0
⇒ 271.66464 = x
Therefore, his final payment will be $271.66464.
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For the points given below, find (a) PQ and (b) the coordinates of the midpoint of PQ. P(3,5), Q(5,-4) (a) PQ ~ (Type an integer or decimal rounded to the nearest tenth as needed.) (b) The coordinates of the midpoint of PQ are 7 (Type an ordered pair, using integers or decimals.)
a) The line segment PQ has a length of √85 (approx. 9.219).
b) The coordinates of the midpoint of the line segment PQ is (4, 0.5).
What is the length of a line segment and the coordinates of its midpoint?
Herein we find a line segment whose endpoints are known: P(x, y) = (3, 5), Q(x, y) = (5, - 4), and we are asked to determine the length of the line segment and the coordinates of the midpoint as well. a) First, we determine the vector between the points P and Q by sum of vectors:
PQ = Q(x, y) - P(x, y)
PQ = (5, - 4) - (3, 5)
PQ = (2, - 9)
And its magnitude is determined by using the Pythagorean theorem:
PQ = √[2² + (- 9)²]
PQ = √85
b) The coordinates of the midpoint is found by using the following formula:
M(x, y) = 0.5 · P(x, y) + 0.5 · Q(x, y)
M(x, y) = 0.5 · (3, 5) + 0.5 · (5, - 4)
M(x, y) = (1.5, 2.5) + (2.5, - 2)
M(x, y) = (4, 0.5)
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Aiza made $55 a day lifeguarding in the summer. She worked six days a week for five weeks. For two weeks of the summer she went on vacation. She spent approximately $68 a day each for two weeks. How much does Aiza have left from her lifeguarding job?
Answer: Aiza have left from her lifeguarding job = $ 700
Step-by-step explanation:
Given that,
Aiza made $55 a day lifeguarding in the summer.
She worked six days a week for five weeks.
For two weeks of the summer she went on vacation.
She spent approximately $68 a day each for two weeks.
Aiza earning per day = $55
Aiza worked for six days in a week.
Aiza worked for five weeks.
Total earning for weeks
= $ 55(6)
= $ 330 / week
Total earning for 5 weeks
= $ 330(5)
= $ 1650
Aiza spent per day for vacation = $ 68
Aiza was an vacation for two weeks.
Total expenditure for two weeks,
Number of days in each week = 7 days
= 2(7)($ 68)
= $ 952
Aiza have left with = Total earning - Total expenditure
= $ 1650 - $ 952
= $ 700
Therefore, Aiza have left from her lifeguarding job = $ 700
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find the sum of 7531, 5252, 6375
The sum of the three numbers 7531, 5252 and 6375 is 19158
How to determine the sum of the numbers?The numbers are given as
7531, 5252, 6375
Express the numbers as a summation expression
So, we have
Sum = 7531 + 5252 + 6375
Evaluate the sum
So, we have
Sum = 19158
Hence, the sum of the three numbers 7531, 5252 and 6375 is 19158
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In 60 seconds, Darrell walks 90 meters.Select the two answers that describe the unit rate at which he walks.
Answer:
1.5 meters per second
Step-by-step explanation:
90 meters divided by 60 seconds is 1.5
what two numbers equal 24 when multiplied and -11 when added
A video cassette tape has a running time of 1 hour while at standard speed, 4 hours while at long-play
1
1
speed, and 7 hours while at super long-play speed. If of the tape is recorded at standard speed,
4
3
5
at long-play speed, and at super long-play speed, what is the total running time of the video
12
cassette tape? Write the solution as a mixed number or a fraction in lowest terms.
[tex]4\frac{6}{12}[/tex] hours play speed, what is the total running time of the video.
What does "speed" mean in mathematics?
Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.Running time of cassettes
at standard speed = 1 hr
at standard speed = 4 hr
at standard speed = 4 hr
given the 1/4 part of tape is recorded at standard speed, 1/3 at long-play speed , 5/12 at super long-play speed,
so the running time of standard speed = 1/4 * 1 = 1/4
at long play speed
1/3 * 4 = 4/3 hours
and at super long-play speed,
5/12 * 7 = 35/12 hours
so, the total running time of the video
1/4 + 4/3 + 35/12 = 54/12 = [tex]4\frac{6}{12}[/tex] hours
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Consider the polynomial -y4+2y2+3y+8.
1) What is the constant term?
2) What is the exponent of the third term?
a. 1) The constant term is -y4.
2) The exponent of the third term is 3.
b. 1) The constant term is 8.
2) The exponent of the third term is 1.
c. 1) The constant term is 8.
2) The exponent of the third term is 3.
d. 1) The constant term is -y4.
2) The exponent of the third term is 1
1. The constant term of the polynomial is: 8.
2. The exponent of the third term is 1.
What is a Term of a Polynomial?A term of a polynomial can include any of the following:
An alphabet which is referred to as a variable, standing alone.The product of a variable and a number.A number that stands alone which is called a constant.The product of a variable that has an exponent and a number.A variable with an exponent.Any of the above is referred to as a term of a polynomial.
Given the polynomial, -y^4 + 2y² + 3y + 8, the polynomial has 4 terms, -y^4, 2y², 3y, and 8.
Thus:
1. The constant term of the polynomial is: 8.
2. The exponent of the third term is 1.
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can someone, anyone explain what units are for rise and run, please.
Answer:
Rise/Run
or
[tex]\frac{rise}{run}[/tex]
Step-by-step explanation:
The formula for slope is referred to rise over run,
Because the fraction consists of the rise (the change in y, going up or down) divided by the run (the change in x, going from left to the right).
A rise over run equation would be formatted like this:
Rise/Run
or
[tex]\frac{rise}{run}[/tex]
(i used to struggle with slopes, and i understand how much of a pain they are)
Answer the 2 question in the photo
[easy points]
Answer:
Cube = 8 vertices
Pyramid=5 vertices
Step-by-step explanation:
Cube = 8 vertices
Pyramid=5 vertices
Question 4
Find the circumference and area of circle X if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
X(-3,4)
Y(-4,2)
hellllllllllp hurrryyy pleaseee
The rate at which Riya is applying the mulch to the garden is 250000:1.
What is the rate?It should be noted that rate is simply used to show the relationship between two things. A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the dependent variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).
Per unit of time is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).
From the information, Riya is applying mulch to the garden and she applied at a rate of 250000cm³ for every m² of space.
Therefore, the rate at which Riya is applying the mulch to the garden is 250000:1.
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Solve each system using a matrix equation. Check your answer.
[x+2y=11 x+4y=17]
The values of "x" and "y" in the given matrix equation is 5 and 3 respectively.
What is matrix equation?A matrix equation is an equation in which a matrix acts as a variable.
The given system of equation;
x + 2y = 11
x + 4y = 17
Matrix form of the equation[1 2 ] = [11]
[1 4 ] = [17]
determinate of the equation, Δ
Δ = [1 2 ]
[1 4 ]
Δ = (4 x 1) - (2 x 1) = 2
x determinate of the equation, ΔxΔx = [11 2 ]
[17 4 ]
Δx = (4 x 11) - (17 x 2) = 10
y determinate of the equation, ΔyΔy = [1 11 ]
[1 17 ]
Δy = (17 x 1) - (11 x 1) = 6
Values of "x" and "y"x = Δx/Δ
x = 10/2 = 5
y = Δy/Δ
y = 6/2 = 3
Thus, the values of "x" and "y" in the given matrix equation is 5 and 3 respectively.
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Help Which of the following could be an algebraic expression for the total cost of dinner, less a $10 coupon, divided by 4 people?
(x − 10) ÷ 4
4x − 10
10 − 4x
4x(10)
the expression that models the situation of the total cost of a diner, less a $10 coupon divided by 4 is (x - $10)÷4
Which is the correct algebraic expression?Here we have the total cost of a dinner, less a $10 coupon, divided by 4 people.
If the total cost is x, then the total cost less a $10 coupon is:
x - $10.
Now, taking the quotient (dividing the above amount by 4) we will get:
(x - $10)÷4
This is the expression that models the situation of the total cost of a dinner, less a $10 coupon divided by 4.
So the correct option is the first one.
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write the equation of the line that is parallel to the graph of 3x-y=5 , and whose y intercept is (0,-7)
The formula 3x-y=5 is a linear function.
We must first examine the slope of the original function in order to determine the equation of parallel lines. We are also given the other function's intercept in this issue.
The function's slope-intercept form is y=3x-5.
In order to locate the parallel line that corresponds to the point (0,-7)
Parallel lines are those that share the same slope but have different y-intercepts, as you may have seen.
As a result, we must put in the point to solve for the y-intercept.
Thus,
y = 3x + b
-7 = 3(0) + b
-7 = b
b = -7
Thus the equation of a parallel line is y = 3x - 7
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hyyy someone help me with this plsss (just write the equation with explanation)
Answer:
a) 10n -6
b) -5n +105
c) 7f + 1
d) -11n +48
Step-by-step explanation:
for an example let's take a) 4, 14, 24, 34
term value:
14 - 4 = 10 (coefficient)
term number:
4 = 34
4×10=40
34 - 40 = -6
coefficient and constant
therefore v = 10n -6
lol are you a Bhutanese?
Write a rational function with the following characteristics.
b. Vertical asymptotes at x=0 and x=3 , horizontal asymptote at y=0 , a zero at -4
For Vertical asymptotes at x=0 and x=3 , horizontal asymptote at y=0 , a zero at -4, the rational function will be - (x+4) / (x)(x-3)
What are asymptotes?Asymptote, a line or curve that serves as the boundary of another line or curve in mathematics. An example of an asymptotic curve is a descending curve that approaches but does not reach the horizontal axis, which is the asymptote of the curve.
Given,
Vertical asymptotes at x=0 and x=3 , it means that these both factors are included in the denominator.
horizontal asymptote at y=0, it means means highest degrees in both numerator and denominator is 0.
zero at -4, it means we have this as factor in numerator.
The required rational function will be -
(x+4) / (x)(x-3)
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Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure. 13π/8 radians
Answer:
the answer is the 20⁰ ok that
50+pts to whoever can solve this correctly
Answer: Be careful. There is a slight difference in the order of the questions
A florist buys a dozen roses for $12.96 and sells them for $48.48. Find the amount of markup on a single rose.
The amount of markup on a single rose is $2.74.
What is markup formula?The markup formula is defined as the profit per unit cost of an item and is given as,
Markup = 100 * profit/cost
We multiply by 100 because we express it as a percentage, not as a fraction.
Now it is given that,
Cost Price of a dozen roses = $2.96
Number of roses = 12
Thus, Cost Price of 1 rose = 12.96/12 = $.108
Now it is also given that, the these dozen roses are sold at $48.48
So, Selling price of 1 rose = 48.48/12 = $4.04
Thus, Profit = Selling Price - Cost Price
⇒ Profit = $4.04 - $1.08
⇒ Profit = $2.96
Thus,Amount of Markup of single rose = Profit/Cost of 1 rose
⇒ Amount of Markup of single rose = 2.96/1.08
⇒ Amount of Markup of single rose = 2.74
Thus, the amount of markup on a single rose is $2.74.
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Help Immediately Please
Solve ² - 5x+7=0.
Answer: D
Step-by-step explanation:
:)