If the technician charges $327.50, then the technician worked 5.95 hours.
To determine how many hours the computer technician worked, we need to set up an equation based on the information provided. Let:
- [tex]\( F \)[/tex] represent the flat rate for home visits.
- [tex]\( h \)[/tex] represent the number of hours worked.
- [tex]\( 55h \)[/tex] represent the hourly charge ($55 per hour).
The total charge is given as $327.50. The equation for the total charge is:
[tex]\[F + 55h = 327.50\][/tex]
Without the flat rate [tex]\( F \)[/tex] provided, we can't determine [tex]\( h \)[/tex] exactly. However, let's assume that [tex]\( F \)[/tex] is included in the total cost as a constant and solve for [tex]\( h \)[/tex] based on the given rate per hour.
First, let's isolate [tex]\( h \):[/tex]
[tex]\[55h = 327.50 - F\\\\h = \frac{327.50 - F}{55}\][/tex]
Since the exact flat rate [tex]\( F \)[/tex] isn't given, let's assume it's zero for this case:
[tex]\[h = \frac{327.50}{55}\][/tex]
Now, calculate [tex]\( h \):[/tex]
[tex]\[h = \frac{327.50}{55} = 5.95 \text{ hours}\][/tex]
Therefore, if the technician charges $327.50 for 5.95 hours worked and assuming no flat rate, the technician worked approximately [tex]\( 5.95 \)[/tex] hours.
The complete question is:
A computer technician charges a flat rate for home visits plus $55 per hour. If the technician charged $327.50, then the technician worked how many hours?
If a car has already traveled 10 miles and then continues for
another 6 hours at a steady rate of 30 miles per hour, how
many total miles will it have traveled?
miles
Answer:
190
Step-by-step explanation:
PLEASE MARK BRAINLY
what's the least common denominator of 5/6 2/3 and 3/5?
Answer:
30
Step-by-step explanation:
6*5= 30
3*10=30
5*6=30
PLEASE HELP 35 PTS Select the correct answer.
The scatter plot shows the number of albums sold from 2006 to 2011. What is the association between the two quantities?
A.
positive linear association
B.
negative linear association
C.
positive nonlinear association
D.
no association
Answer:
Its definetley negitive linerar assosiation
plato lives matter
Step-by-step explanation:
The association between the two quantities is a negative linear association.
Option B is the correct answer.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
From the scatter plot we see that,
As the year increases, the album sold decreases.
This means,
There is a negative association.
And the association is more or less a straight line.
Thus,
The association between the two quantities is a negative linear association.
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PLEASE HELP: A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 540.08 yd. What is the surface area of the sphere? Use 3.14 for pi.
The problem involves finding the surface area of a sphere using its circumference. This can be achieved by first calculating the radius from the given circumference, and then substituting this value into the formula for the surface area of a sphere.
Explanation:The subject for this problem is finding the surface area of a sphere using its circumference. To solve this, you need to apply some mathematical concepts and formulas related to spheres and circles. The circumference of a circle (or the widest circle in a sphere, in this case) is given by
C=2πR, where R is the radius of the circle.
So, first, you need to find the radius of the sphere from the given circumference:
540.08 = 2πR, solve this to get R = 540.08 / (2*3.14).
According to the formula for the surface area of a sphere A=4πR²,
we can substitute the value of R that we have calculated to find the surface area of the sphere.
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Translate this sentence into an algebraic inequality.x divided by the quantity y minus 9 is 18 or more.A.B.C.D.
Answer:
x/y-9 is grater than or equal to 18
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
x
___ ≥ 18
y-9
Tried my best to write it out like it would show it written out.
Can someone do 11??? Please help I don’t want to fail my class
Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides
tan(angle) = opposite/adjacent
For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,
tan(Y) = XZ/XY = 6/7
For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6
tan(Z) = XY/XZ = 7/6
We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.
Total savings
Misumi started with $217 in her bank account. She deposits
$25.50 each week and never withdraws any money. What
expression can Misumi use to determine her account balance
after w weeks?
Answer:
y=$25.50w+$217
w=10 weeks
$25.5(10)+$217
$255+$217
$472=y
Which equation is true for triangle QRS? StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (Q) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 2.4 EndFraction = StartFraction sine (S) Over 3.5 EndFraction StartFraction sine (100 degrees) Over 24 EndFraction = StartFraction sine (Q) Over 3.5 EndFraction
Answer:
it's a
Step-by-step explanation:
Without more information on triangle QRS, the potential true equations could be 'sin(100 degrees) / 3.5 = sin(S) / 2.4' and 'sin(100 degrees) / 2.4 = sin(Q) / 3.5' based on the law of sines.
Explanation:The question is asking which equation formed by the law of sines is true for the triangle QRS. As it is not completely clear from the given data, let's apply the law of sines in a general form for triangle QRS: sin(Q)/QR = sin(R)/RS = sin(S)/SQ. Comparing this to the provided options we could suggest that the correct equation could be: sin(100 degrees) / 3.5 = sin(S) / 2.4 and sin(100 degrees) / 2.4 = sin(Q) / 3.5. These are possibilities if we assume that the angle at Q is 100 degrees and the lengths of the sides opposite these angles are 3.5 and 2.4 respectively. However, without more specific information about triangle QRS, these conclusions are speculative.
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Write the set of points from -5 to -2 but excluding -4 and -2 as a union of intervals
Answer:
[-5,-4) U (-4,-2)
Step-by-step explanation:
The brackets means including, the parenthesis does not include the number it is next too. The U in between the two points stands for union.
What is the radius of a base?
3 units
6 units
10 units
| 12 units
Answer:
Didn't give enough information..
Step-by-step explanation:
need to see the circle if need help ill give answer.
A cylinder has has a volume of 1884 cm cubed. Find the volume of a cone with the same radius and height as the cylinder.
Answer:
The volume of the cone with the same radius and height as the given cylinder is approximately [tex]\(459.325 \, \text{cm}^3\)[/tex].
Explanation:
To find the volume of a cone with the same radius and height as the given cylinder, we'll use the formula for the volume of a cone:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
Given that the cylinder has a volume of 1884 cm³, and the radius [tex](\(r\))[/tex] and height [tex](\(h\))[/tex] of the cone are the same as the cylinder, we can first find the radius and height of the cylinder.
The volume of the cylinder is given by:
[tex]\[ V_{\text{cylinder}} = \pi r^2 h \][/tex]
Given [tex]\(V_{\text{cylinder}} = 1884 \, \text{cm}^3\)[/tex], we can solve for [tex]\(r^2 h\)[/tex], the product of the square of the radius and the height:
[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]
Now, we need to find the radius and height of the cylinder. Since we're told that the cone has the same radius and height as the cylinder, we can use these values for the cone as well.
[tex]\[ r^2 h = \frac{1884}{\pi} \][/tex]
Given that [tex]\( r = h \)[/tex], we can substitute [tex]\(r\)[/tex] for [tex]\(h\)[/tex] to get:
[tex]\[ r^3 = \frac{1884}{\pi} \][/tex]
[tex]\[ r = \sqrt[3]{\frac{1884}{\pi}} \][/tex]
Now that we have the value of [tex]\(r\)[/tex], we can find the volume of the cone using the formula for the volume of a cone:
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \sqrt[3]{\frac{1884}{\pi}} \right)^2 \left( \sqrt[3]{\frac{1884}{\pi}} \right) \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884}{\pi} \right)^{2/3} \left( \frac{1884}{\pi} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^2 \cdot 1884}{\pi^2} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{1884^3}{\pi^2} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \left( \frac{671161856}{9.869604401} \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \left( 67968372.82 \right)^{1/3} \][/tex]
[tex]\[ V_{\text{cone}} \approx \frac{1}{3} \pi \cdot 438.327 \][/tex]
[tex]\[ V_{\text{cone}} \approx 459.325 \, \text{cm}^3 \][/tex]
Please help me. You must show all work
Answer:
21
Step-by-step explanation:
Which would prove that ΔABC ~ ΔXYZ? Select two options.
Step-by-step explanation:
I think by the having all 2 of angles are equal
and corresponding sides are in same ratio
and by having all corresponding sides in same ratio
Answer:
I think it is option a, b, and c.
Step-by-step explanation:
11. An amusement park charges $45 per person for admission. A season pass
costs $112 per person.
a. Write the first five terms of an arithmetic sequence that represents the
total cost of admission for the number of visits in a season.
b. How many times does a person have to visit the park for a season pass
to be the better deal? Explain.
To represent the total cost of admission for the number of visits in a season, an arithmetic sequence can be created with a common difference of $45. The cost of admission for the first visit is $45, and the sequence can be extended to five terms. To determine when a season pass becomes the better deal, compare the total cost of admission with the cost of a season pass. A person would have to visit the park at least 3 times for a season pass to be the better deal.
Explanation:a. To represent the total cost of admission for the number of visits in a season, we can create an arithmetic sequence. The common difference will be the cost of admission each time a person visits the park, which is $45. The first term can be the cost of admission for the first visit, which is also $45. So, the arithmetic sequence will be:
Total: $45Total: $90Total: $135Total: $180Total: $225b. To find out how many times a person has to visit the park for a season pass to be the better deal, we need to compare the total cost of admission for the number of visits with the cost of a season pass. In this case, the season pass costs $112 per person, so we need to find the number of visits that would equal or exceed the cost of a season pass. From the arithmetic sequence we created in part a, we can see that a person would have to visit the park at least 3 times for the total cost of admission to equal or exceed the cost of a season pass. Therefore, a person would have to visit the park at least 3 times for a season pass to be the better deal.
Find the difference. -16 – 6
Answer:
-16 - 6 would be -22
Step-by-step explanation: The reason for this is is simple subtraction except in this case you wanna think of addition. -16 - 6 can also be thought of 16+6. In that case you get 22 and then you just add the negative sign.
Factor the following and remember to factor out any common factors first.
x^2+8x+15
Enter the factors separated by semicolons. ( ; )
Answer:
(x+5) (x+3)
Step-by-step explanation:
x^2+8x+15
What two numbers multiply to 15 and add to 8
5*3 = 15
5+3 = 8
(x+5) (x+3)
Which of the following are statistical questions? Select all.
A.When is your birthday?
B.What is the height of the Willis Tower in Chicago?
C.How many points did the basketball team score each game last season?
D.Do you have any pets?
E.What is the least amount of snow in one month last year?
F.What is the speed limit?
c and e because statistical questions can be answered by collecting data that can have variability.
C) 0.2(x + 5) + 1 = 7
Answer:
x = 25
Step-by-step explanation:
Given
0.2(x + 5) + 1 = 7 ( subtract 1 from both sides )
0.2(x + 5) = 6 ( divide both sides by 0.2 )
x + 5 = 30 ( subtract 5 from both sides )
x = 25
What is the mean of the following numbers?
5, 7, 2,9,5
Answer:5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
[tex] \frac{5 + 7 + 2 + 9 + 5}{5} = \frac{28}{5} = 5.6[/tex]
Simplify.
1 – 2u + u + 4
Find the area of a circle with a diameter of 16.Answer as a decimal
Answer:
201.06
Step-by-step explanation:
This is because the formula of the area of a circle is A=(pi)(r) squared
Since the radius if half of the diameter, the radius would then be 8.
8 squared, or 8 x 8 = 64.
64 times pi (64 x 3.14159)= 201.06
A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 19600?
The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.
Step-by-step explanation:
The given is,
A person invests 9000 dollars in a bank
The bank pays 4.25% interest compounded daily
Future amount $19600
Step:1
Formula to calculate the future investment with compounded daily,
[tex]A = P (1+\frac{r}{n})^{nt}[/tex]................................(1)
Where, A - Future amount
P - Initial investment
r - Interested rate
n - No.of times for a year
t - No.of years
Step:2
From the given values,
A = $ 19600
P = $ 9000
r = 4.25 %
n = 365 ( ∵ Compounded daily )
Equation (1) becomes,
[tex]19600 = 9000(1+\frac{0.0425}{365})^{365t}[/tex]
[tex]\frac{19600}{9000}= (1+0.000116438)^{365t}[/tex]
[tex]2.177778=(1.000116438)^{365t}[/tex]
( Take log on both sides )
[tex]log 2.17778= log (1.000116438)^{365t}[/tex]
[tex]log 2.17778=( 365t)log (1.000116438)[/tex]
Substitute the log values,
[tex]0.338014 = (365t)(0.000050565)[/tex]
[tex]\frac{0.338014}{0.000050565}= 365t[/tex]
[tex]6684.6842 = 365t[/tex]
[tex]t = \frac{6684.6842}{365}[/tex]
= 18.314
≅ 18 years
No.of years, t = 18 years
Result:
The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.
It will take approximately 18.4years for the person to make 19600
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex] where:
A is the amount
P is the amount invested
n is the compounding amount
t is the time taken
Given the following parameters
A = 19600
P = 9000
r = 4.25% = 0.0425
n = 365 (compounded daily)
Substitute the given parameters into the formula to get the time "t"
[tex]19600 = 9000(1+\frac{0.0425}{365} )^{365t}\\2.1778 = (1+0.0001164)^{365t}\\2.1778 = (1.0001164)^{365t}\\log2.1778 = 365tlog(1.0001164)\\0.3380 = 0.0184t\\t = \frac{0.3380}{0.0184} \\t \approx 18yrs[/tex]
Hence it will take approximately 18.4years for the person to make 19600
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Factor as the product of two binomials.
x^2 + 6x + 9 =
Answer:
(x + 3) (x + 3)
Step-by-step explanation:
This is because if you solve that, it would be x² + 3x + 3x + 9
Therefore it would equal x² + 6x + 9
Answer:
I need help on this one to its hard
WILL MARK BRAINLIEST
Write the equation to represent a line that contains the point (1, -7) and a slope of -4.
y =
Answer:
y= -4x - 3
Step-by-step explanation:
00:00
In 1 hour, 32 cars pass through a particular intersection. At the same rate how long would it take for 96 cars to pass through the intersection?
A 2 hours
B. 3 hours
C
8 hours
D. 16 hours
Answer:
b,3 hours
Step-by-step explanation:
because you have 32 times 2 is 64 in 2 hours so that is not is so the times 8 is 256 in 8 hours so that is not it then times 16 is 512 so 512 in 16 hours that's not it so then times 3 it is 96 cars in 3 hours
If answered correctly will give brainiest plz helpppppp!!!!!!
Answer:
50.29
Step-by-step explanation:
(25 1/7)/(22/7) = diameter
8 = diameter -->
4 = radius
4^2 pi = area
16pi=area
16*22/7 = area
352/7 = area
50.29 is (approx.) area
Evaluate:
© 20
© 20.8
O 24
DONE
Answer:
24
Step-by-step explanation:
1. 24
2. 0
3. a [4.9] and [3.1] and c [-6] and [-6]
4. edge answer: The statement is not true for all real numbers. It is only true for decimal or fractional values of x . If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1. Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.
5. edge answer: There are three steps. The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3. Closed circles are on the left side of each step, and open circles are on the right.
6. all real numbers
7. all multiples of 4
8. multiples of 8 greater than 0
9. 3
10. real numbers ≥ 0
11. integers ≥ 0
12. f(x)=2.50[x-1]
here's your reminder to fix your posture (you know you're slouching, that'll hurt your back when you're old lol) and go get some water! hydration is best because your body uses it to regulate body temperature, keep joints lubricated, prevent infections, deliver nutrients to cells, and keep organs functioning properly. being well-hydrated also improves sleep quality, cognition, and mood! also, if you don't drink water for 3-21 days (depends on age and body and stuff) you'll die. so there's that too.
summary of that ^ fix your posture and drink some water <3
HigherOrder thing name two rays with the same endpoint in the figure below. Do they form an angle? Explain.
Ray AC and Ray CA. Yes, they form an angle of 180 degrees because they are both on a straight line.
In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line and it extends infinitely in a single direction.
A line is a mark with length and direction, that is created by a point that is moving across a surface and extending infinitely.
By critically observing the figure shown in the image attached below, we can logically deduce that two rays with the same endpoint include:
Ray AC
Ray CA.
Complete Question:
Higher Order thinking Name two rays with the same endpoint in the figure below. Do they form an angle? Explain.
What is the y-intercept in the equation “y=4x-3”?
A bag contains white marbles and blue marbles, 54 in total. The number of white marbles is 1 less than 4 times the number of blue marbles. How many white marbles are there?
Answer: There are 43 white marbles.
Step-by-step explanation:
t = total number of marbles = 54
w = white marbles = 4b - 1
b = blue marbles
54 = b + (4b - 1)
b + 4b = 5b
54 = 5b - 1
+1
55 = 5b
/5
11 = b
There are 11 blue marbles.
4(11) - 1
44 - 1 = 43
43 + 11 = 54, therefore our solutions are correct.
Answer:
43
Step-by-step explanation:
W = 4B - 1
W + B = 54
4B - 1 + B = 54
5B = 55
B = 11
W = 4(11) - 1
W = 43