The diameter is 18 inches.
How to calculate the diameter?It should be noted that the area of a circle is represented by πr². This will be:
πr² = 254.34
(3.14 × r²) = 254.34
3.14r² = 254.34
r² = 254.34/3.14
r² = 81
r = ✓81
r = 9
Therefore the diameter will be:
= 2 × radius
= 2 × 9
= 18
The diameter is 18 inches.
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Answer:
The diameter is 18 inches.
Step-by-step explanation:
Area of a circle formula:
A=πr2 (Area equals pi times radius squared)
254.34/3.14 (3.14 substituted for pi)
=81
square root of 81
=9
9x2
=18
Therefore, the diameter is 18 inches.
Dionne pays a fixed fee plus an hourly rate to rent a boat. The table below shows how much Dionne paid for the boat. Write an equation in slope intercept form to represent the relationship.
The equation in slope intercept form to represent the relationship is y = 12x + 15
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard equation of a line is:
y = mx + b
Where m is the slope (rate of change) and b is the initial value of y.
Let y represent the total amount paid for renting a boat for x hours.
From the table, using the points (1, 27) and (3, 51):
The equation of the line is given as:
y - 27 = [(51 - 27)/(3 - 1)](x - 1)
y = 12x + 15
The equation in slope intercept form to represent the relationship is y = 12x + 15
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Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches.
The height of the drawing is 4 inches.
What is the height?A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension
Scale of the drawing = original dimensions / dimensions of the scale drawing
The first step is to determine the scale of the drawing : 3000 / 10 = 300 feet : 1 inch
The second step is to determine the height of the drawing in the map: 1200 / 300 = 4 inches
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Here is the complete question:
Julio are you drawing a map of humid. The actual payment has a base of 3000 feet and a height of 1200 feet. Julio needs his drawing to sit on his papers, and he decides to make the base of his triangle 10 inches. What is the height of the humid in Julio's drawing?
Find the value of k in the data set so that f(x) is a linear function.
x = {-7, -2, 2, 5}
f(x) = {-15, k, 3, 9}
In order for f(x) to be a linear function, determine the value of k in the data set.
x = {-7, -2, 2, 5}
f(x) = {-15, k, 3, 9}
The value of k is {-5}.
Given that to find the value of k in the data set such that the data set represents a linear function.
Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.
Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.
Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}
The slope of the function,
(x, f(x)) = (2,3) and (5,9)
Slope formula is m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
Slope m= [tex]\frac{9-3 }{5-2}[/tex]
Slope m=[tex]\frac{6}{3}[/tex]
Slope m=2.
Using the point slope form, determine the linear function's equation.
[tex]y-y_{1} =m(x-x_{1})[/tex]
Here, [tex](x_{1},y_{1})=(-7,-15)[/tex] and m=2
We get
y + 15 = 2 (x + 7)
y = 2x - 1
Now at x = -2 and f(x) = k
k = 2(-2) - 1
k = -4-1
k=-5
Therefore, the value of k is -5.
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At 1pm,there were 16 seagulls on the beach .At 3 pm, there were 40 seagulls .What is the constant rate of change
Answer:
Step-by-step explanation:
During those 2 hours 24 more seagulls arrived.
Answer:
it is 12 seagulls per hour
Step-by-step explanation:
Can someone please help me i'm running out of time please!!!!
Answer:
10 and 1/2 for the first, and 3 and 3/4 for the second
Step-by-step explanation:
Are these repeating or terminal?
Answer:-5 1/3 is repeating and 1 1/4 is terminal
Step-by-step explanation:
Answer: Terminal
Step-by-step explanation: yw :)
how to Solve 5 |2x - 1 +20=3
the correct value for x is -1.2, 2.2
Given 5 | 2x - 1 | + 20 = 3
Modulus of a number
The modulus or absolute value, of a number, denoted |x+y| is calculated as
|x + y | =1
x + y = ±1
We need to solve for the value of x
5 | 2x - 1 | = 3 - 20
5 | 2x - 1 | = -17
| 2x - 1 | = - 17 / 5
| 2x - 1 | = - 3.4
2x - 1 = ± (- 3.4)
2x - 1 = -3.4 2x -1 = 3.4
2x = - 3.4 + 1 2x = 3.4 + 1
2x = - 2.4 2x = 4.4
x = - 1.2 x = 2.2
Therefore, the value for x is -1.2, 2.2
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Solve for b2. A=1/2h(b1+b2)
A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2} is the solution of this linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Apply the distributive property.
A = [tex]\frac{1}{2} . ( hb_{1} + hb_{2} )[/tex]
Apply the distributive property
A = [tex]\frac{1}{2} ( hb_{1} ) + \frac{1}{2} hb_{2}[/tex]
Multiply [tex]\frac{1}{2}( hb_{1} )[/tex]
combine h and 1/2
A =[tex]\frac{h}{2} b_{1} + \frac{1}{2} ( hb_{2} )[/tex]
[tex]A = \frac{hb_{1} }{2} + \frac{hb_{2} }{2}[/tex]
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please help with these 2 questions in math!! thank uu!!
Answer:
sorry if wrong again but for a put (r+y) (a+b)
for b put (pq-[tex]r^{2}[/tex]) x (9-1)
Step-by-step explanation:
Freida is a clothing factory manager and wants to minimize her costs in the upcoming production cycle.
Her bosses have ordered that at least 100 shirts (s) and more than 150 pairs of pants (p) must be made to
meet inventory requirements. The factory cannot produce more than 800 garments in total and at east as
many pants as shirts produced. The total garments produced must also be at least 300. Shirts cost $8 each
to manufacture and sell for $22 while pants cost $5 to make and sell for $15. The factory costs $600 to run no
matter how many garments are made. How many shirts and pants should be made in order to minimize
costs?
1. Fill in the chart with the inequalities that come from this problem.
PROBLEM CONSTRAINTS
...at least 100 shirts
...more than 150 pairs of pants
. cannot produce more than 800 garments
„.at least as many pants as shirts produced
garments produced must be at least 300
2. Write the cost minimization equation.
3. Graph the system Of inequalities on the following graph or in Desmos.
4. How many Of each product should Freida make to minimize her costs?
5. profit is revenue minus costs. Write the profit equation (don't forget to include the $600 cost
independent of how many garments are produced)
6. Would your answer of what to produce be different if you were trying to maximize profit
instead of minimize costs? If so, what would be the new optimal production numbers?
Answer:
Step-by-step explanation:
ABC and QRS are supplementary angels.
If the measure of ABC = 91. What is the measure of QRS?
Answer:A normal QRS complex measures 0.06 to 0.12 seconds which is 1.5 to 3 small boxes on the EKG strip. When you measure the QRS complex you start by measuring at the END of the PR interval to the END of S-wave.
Step-by-step explanation:
A quarter back is sacked for a loss of 4 yards. On the next play, his team loses 10 yards. Then the the team gains 12 yards on the third play
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question:
Play 1: Quarterback was sacked for a loss of 4 yards
Play 2 : Another loss of 10 yards
Play 3: a gain of 12 yards
Write an addition expression to represent the situation. Then find the sum and explain its meaning.
A loss of 4 yards = - 4
Loss of 10 yards = - 10
Gain of 12 yards = + 12
Addition expression for the scenario :
(-4) + (-10) + 12
Result :
-4 + (-10) + 12
= - 4 - 10 + 12
= - 14 + 12
= - 2
Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.
Answer number 12 please thank you
Answer:
D. (A U C) ∩ B
Step-by-step explanation:
12.
A = {-2, -1, 0, 1}
B = {0, 1, 2, 3}
C = {-2, 0, 2, 4}
A. A U B = {-2, 1, 0 , 1, 2, 3}
B. A U (C ∩ B} = A U {0, 2} = {2, 1, 0, 1, 2}
C. B ∩ C = {0, 2}
D. (A U C) ∩ B = {-2, -1, 0, 1, 2, 4} ∩ {0, 1, 2, 3} = {0, 1, 2}
Evaluate each side of the equation to determine if the statement is true
If it is true, then type the word true
If it is false, then type the word false.
3 (22 - 4y) + 4 = 6 (2 - 2y) + 2 - 2
Please procedure and solution
2 x |-6|-3 x |2|+|-14|=
Applying the rule of modulus for given values, the expression will result to 20.
What is Modulus or Absolute ValuesThe modulus of a value for example |a|=a if a is greater than or equal to zero
and also
|a|=-a if a is less than zero
In the expression given; the modulus of -6 written as
|-6|=-(-6) this is because the value is less than zero
The modulus of 2 written as; |2|=2 this is because the value is greater than zero. and;
|The modulus of -14 written as; |-14|= -(-14) since the value is less than zero.
Hence, we can rewrite the expression as;
we deal with multiplication first following the rules of BODMAS
2×-(-6)-3×2+[-(-14)]
2×6-6+14
and thus adding values
12+14-6
and finally we subtract;
26-6
which will results to the solution of 20.
Simplify.
H+
1 to the power of 1/4
Answer:
noooo
Step-by-step explanation:
1. The distance between Earth and Mars is approximately 4.35 × 107 miles.
What is this distance in standard form?
A 435,000 miles
B 4,350,000 miles
C43,500,000 miles
D 435,000,000 miles.
The distance between Earth and Mars in the standard form is 43, 500, 000 miles.
The correct answer is an option (C)
In this question we have been given the distance between Earth and Mars.
The distance between Earth and Mars is approximately 4.35 × 10^7 miles.
We need to write above distance between Earth and Mars in the standard form.
So, we get an expression,
4.35 × 10^7 miles
= 435 × 10^5 miles
= 435 × 100, 000 miles
= 43, 500, 000 miles
Therefore, the distance between Earth and Mars in the standard form is 43, 500, 000 miles.
The correct answer is an option (C)
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Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average?
Answer:
3
Step-by-step explanation:
Rosario: (78+77+64+86+70)/5=75
Enrique: (90+61+79+73+87)/5=78
3
f+an=g Solve for 'f'.
Answer:
f = g - an
Step-by-step explanation:
f + an = g
To isolate f, we need to do inverse (opposite) operation for an.
The opposite of +an is -an
f = g - an
Hope this helps :)
Have a great day!
Someone please help me
Graphing the linear functions, it is found that they will have the same height after 5 hours, of 21 inches.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For each function in this problem, we have that:
The initial height is the intercept.The melting rate is the slope.Hence the functions are given as follows:
A(t) = 51 - 6t.B(t) = 36 - 3t.The functions are graphed at the end of the answer, with A(t) in blue and B(t) in black. The intersection of the graphs is at (5,21), which means that they will have the same height after 5 hours, of 21 inches.
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HELPPPPPPPPP PLS ASAP
Answer:
I'm pretty sure its A
Step-by-step explanation:
square root of 6 is 2.44948974278 and A is around 2.4
Order the following fractions from greatest to least 3/4 4/6 4/8
Answer:
4/8, 4/6, 3/4
Step-by-step explanation:
3/4 = 18/24
4/6 = 16/24
4/8 = 12/24
18>16>12
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $225 for each ton of sugar transported. The total cost, C (in dollars), for transporting N tons is given by the following function. C(n)=3500+225n)
Answer:to answer this question you have to look at what the relationship is between tones of sugar and the equation C(n) = 6,500 + 225n. The question gave you a hint in parenthesis in the form of (n) tons. This statement means that the amount of sugar is n so for question 1 the 13 tons is the n value.
Q1:
C(13) = 6,500 + 225*13
C(13) = 6,500 + 2,925
C(13) = 9,425
so what does the 9,425 mean? This is the cost to transport 13 tons of sugar.
Q2:
so this part n is unknown and we are given the C(n) number.
11,450 = 6,500 + 225n
subtract the 6500 from both sides
11,450 - 6,500 = 225n
evaluate
4,950 = 225n
I don't like the n on the right side so I am going to rewrite the equation
225n = 4,950
divide by 225
n = 4,950/225
evaluate
n = 22
So this result means that the company would transport 22 tones of sugar.
Have a great day!
Step-by-step explanation:
Find the equation of a line using y = mx + b given the slope is 2 and the y-intercept is (0,2).
Answer:
y=2x+2
Step-by-step explanation:
y=mx+b where:
m=slope; b=y intercept
Therefore, simply plug in values for (m) and (b)
(m=2); (b=2)
and you're left with the equation (y=2x+2)
pansy measured the height of a window frame as 5.12 feet, but the actual height was 6 feet. what is the percentage of error in pansy's measurement?
The percentage of error in Pansy's measurement is 14.67%
In the given statement is :
Pansy measured the height of a window frame as 5.12 feet, but the actual height was 6 feet.
We know that
Percentage error can be calculated using the formula: (what was measured - the actual measurement) / actual measurement × 100%.
Thus:
The height that was measured = 5.12 feet
Actual measurement of the height = 6 feet
Percentage error = (6 - 5.12) / 6 × 100
Percentage error = 14.67
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true or false: the difference between cross-sectional and time series data is whether the data is evaluated at a single point in time or multiple points in time
The statement "the difference between cross-sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.
The distinction between cross-sectional data and time-series data is that time-series data takes into account the identical variables over a period of time, whereas cross-sectional data makes use of specific records for a specific factor in time.
A data set may be both time series and cross sectional.
When the records of go sectional records is regressed, the defined and explanatory variables are all related to the identical single length or point in time.
Time-series and cross-section (TSCS) data collectively are normally analyzed in political technology and associated disciplines.
Therefore, the statement "the difference between cross sectional and time series data is whether the data is evaluated at a single point in time or multiple factors in time" is true.
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if my new price is 54 and my old price was 68 what is the difference between my new and old price
Answer:13
Step-by-step explanation:
68-54=14
14-1=13
A cube has edge length 3 inches what is its volume?
Answer:
So a cube has all the same edge lengths and since the cube has an edge length of 3
you would just do:
3•3•3
Which is 27
3/6 X 2/4?
A. 6/24
B. 18/8
C. 8/18
9 + k + 5 = 21
pls help
Answer:
k= 7
Step-by-step explanation:
First let's add like terms: a+b+a=c: a²+b=c
k+9+5=21
k+14=21
Subtract 14 from both sides of the equation
k+14-14=21-14
K=7
Hi!
[tex]\tt{9+k+5=21}[/tex]
Step 1: Combine like terms.
[tex]\tt{9+5+k=21}[/tex]
[tex]\tt{14+k=21}[/tex]
Step 2: Subtract 14 from both sides.
[tex]\tt{k=7}[/tex] [tex]\checkmark[/tex]
Have a great day!
Hope that helps. :)
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