Thus, pay of Nicole per hour for his job in dollars per hour is $29.6.
Explain about the unit value?The appraisal of a single item or constituent within a group is known as unit value. The concept of unit value is applicable in a variety of contexts, including building, inventory control, sales, and stock trading.
The unit value is typically the result of dividing the price or worth of a set of things by the total number of items. Doing unit value calculations is crucial since it enables experts to comprehend the price associated with producing each unit.
For the given question: Nicole's earnings
Time (hours) 10 22 24
Earnings (dollars) $296 $651.20 $710.40
10 hours ----> $296
1 hour ------> $296 / 10
1 hour ------> $29.6
Thus, pay of Nicole per hour for his job in dollars per hour is $29.6.
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Complete questions:
The table below shows Nicole's earnings on the job.
Time (hours) 10 22 24
Earnings (dollars) $296 $651.20 $710.40
What is Nicole’s rate of pay, in dollars per hour?
What is the volume of the prisms below?
10 m
8 m
11 in.
12 in.
11 in.
11 cm
16 cm
8 cm
Answer:
Step-by-step explanation:129412515968569028414 m
A boat is heading towards a lighthouse, where Jaxson is watching from a vertical distance of 103 feet above the water. Jaxson measures an angle of depression to the boat at point A to be 12 degrees.At some later time, Jaxson takes another measurement and finds the angle of depression to the boat (now at point B) to be 64 degrees. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Answer:
We can use trigonometry to solve this problem. Let's call the distance from point A to the boat "x" and the distance from point B to the boat "y". Then we have:
In triangle AOC, tan(12) = OC / x
In triangle BOC, tan(64) = OC / y
We want to find the distance from point A to point B, which is the difference between x and y:
Distance AB = y - x
To solve for x and y, we need to eliminate OC. We can do this by setting the two expressions for OC equal to each other and solving for OC:
tan(12) = OC / x
OC = x tan(12)
tan(64) = OC / y
OC = y tan(64)
x tan(12) = y tan(64)
y = x tan(12) / tan(64)
Now we can substitute this expression for y into the equation for Distance AB:
Distance AB = y - x
Distance AB = x tan(12) / tan(64) - x
We can simplify this expression by factoring out an x:
Distance AB = x (tan(12) / tan(64) - 1)
Now we just need to plug in the values and calculate:
Distance AB = x (0.2174 - 1)
Distance AB = -0.7826 x
Since distance cannot be negative, we know that x > 0. Therefore, the boat is between point A and point B, and the distance from point A to point B is:
Distance AB = x (0.2174 - 1)
Distance AB = -0.7826 x
Distance AB ≈ 1.28 x
We don't know the actual value of x, but we can see that the distance from point A to point B is approximately 1.28 times the distance from point A to the boat when Jaxson measured the angle of depression to be 12 degrees.
Step-by-step explanation:
Answer:434
Step-by-step explanation:It’s correct
The cost of 3 pens and 2 pencils is £3. 30. The cost of 3 pencils and 2 pens is £2. 95
According to the given situation in the question the cost of one pen is £1.02 and the cost of one pencil is £0.12 .
Let the cost of one pen be x.
Let the cost of one pencil be y.
So, from the given condition given in question the equations are :-
The cost of 3 pens and 2 pencils is £3. 30 can be written in the equation, 3x + 2y = 3. 30 —-- (1)
The cost of 3 pencils and 2 pens is £2. can be written in the equation, 2x + 3y = 2 —--- (2)
So by solving equation (1) and (2),
3×equation (2) - 2×equation(1)
Now subtract 6x+4y=6.6 from 6x + 9y=6
5y = 0.6
y = 0.12
Put y = 0.12 in equation(1) then x = 1.02
Hence the cost of one pen is £1.02 and the cost of one pencil is £0.12.
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—-------- Correct question format is given below —--------
(Q). The cost of 3 pens and 2 pencils is £3. 30. The cost of 3 pencils and 2 pens is £2. 95.What is the cost of one pencil and one pen?
Can someone please help me ASAP it’s due today!! I will give brainliest if it’s done correctly
Answer:
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Step-by-step explanation:
You have to construct a probability tree diagram.
Find the y -intercept
of the parabola y = x2 + 2x + 10
Step-by-step explanation:
The y-axis is where x = 0 ....so the y-axis intercept occurs at x = o
put in '0' for 'x'
y = 0^2 + 2(0) + 10 <===== 10 is the y-axis intercept
What is the surface area?
8 ft
8 ft
2 ft
square feet
The calculated surface area of the cuboid has a value of 192 square feet.
Calculating the surface area of the cuboidThe surface area of a cuboid is the sum of the areas of all six faces.
In this case, the dimensions of the cuboid are 8 ft by 8 ft by 2 ft. So we can calculate the surface area as follows:
The top and bottom faces each have an area of 8 ft x 8 ft = 64 sq ft.The front and back faces each have an area of 8 ft x 2 ft = 16 sq ft.The left and right faces each have an area of 8 ft x 2 ft = 16 sq ft.Therefore, the total surface area of the cuboid is:
= 2(64 sq ft) + 2(16 sq ft) + 2(16 sq ft)
= 128 sq ft + 32 sq ft + 32 sq ft
= 192 sq ft.
So the surface area of the given cuboid is 192 square feet.
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Write an equation that the hanger diagram models. How can you use hanger diagram to find the value of X?
Answer: x=6
Step-by-step explanation:
Step 1: Add all the 4's together (20) and then you get 20+(5*x)=50
5x6=30+20=50.
one fourth of 120 is equal to 10% of what number
Answer:
3
Step-by-step explanation:
in xyz, m∠x = (32x)° and m∠z = (6.5x)°. Write and solve an equation to find the measure of each angle
Finally, use the sum of interior angles equation again to find the measure of angle Y:
m∠Y = 180° - m∠X - m∠Z
Hello! To find the measure of each angle in triangle XYZ, we need to use the fact that the sum of the interior angles of a triangle is 180°. We are given that m∠X = (32x)° and m∠Z = (6.5x)°. Let's represent the measure of angle Y as m∠Y.
Now we can write an equation:
m∠X + m∠Y + m∠Z = 180°
(32x)° + m∠Y + (6.5x)° = 180°
We need to find the value of x and m∠Y. First, combine the x terms:
38.5x° + m∠Y = 180°
Now, we'll solve for x and then find m∠Y using the equation above. To find x, subtract m∠Y from both sides:
38.5x° = 180° - m∠Y
After finding the value of x, substitute it back into the expressions for m∠X and m∠Z to find the measures of angles X and Z.
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What is the result when the number 59 is increased by 6.7%?
Answer:
The value of the percentage increase = 6.7% × 59
The new value = 59 + The value of the percentage increase
Step-by-step explanation:
The new value =
59 + The value of the percentage increase =
59 + (6.7% × 59) =
59 + 6.7% × 59 =
(1 + 6.7%) × 59 =
(100% + 6.7%) × 59 =
106.7% × 59 =
106.7 ÷ 100 × 59 =
106.7 × 59 ÷ 100 =
6,295.3 ÷ 100 =
62.953 ≈
62.95
A bag contains 7 marbles: one each of red, orange, yellow, green, blue, violet, and white. A child randomly pulls 4 marbles from the bag. What is the probability that the marbles chosen are green, blue, red, and yellow? round
The probability of selecting green, blue, red, and yellow marbles from the bag is 1/35.
To find the probability of choosing specific marbles from the bag, we first need to find out the total number of ways in which four marbles can be selected from seven marbles.
The total number of ways in order to select 4 marbles from 7 marbles is given by the combination formula:
C(7,4) = 7!/(4!3!) = 35
There are 35 ways in which four marbles which will be selected from the bag. We need to find out the number of ways in which we can select green, blue, red, and yellow marbles.
We have only one way to select these specific four marbles from the bag. Number of ways to select green, blue, red, and yellow marbles is 1.
Probability of selecting green, blue, red, and yellow marbles:
P = (Number of ways to select green, blue, red, and yellow marbles) / (Total number of ways to select 4 marbles)
P = 1/35
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7. The table shows the amount of paint
left in each jar. Which jar contains the
greatest amount of paint? The least?
Jar
blue
purple
green
Amount
2 pt 4 fl oz
5 cups
39 fl oz
Therefore , the solution of the given problem of unitary method comes out to be least quantity of paint (40 fl oz) and the purple jar has the most (80 fl oz). (36 fl oz).
What is an unitary method?To accomplish the task, one may use this generally accepted ease, preexisting variables, as well as any significant components from the original Diocesan customizable query. If so, there might be an opportunity to interact with the item once more. Otherwise, every significant factor that affects how algorithmic evidence behaves will be gone.
Here,
We must convert all the measurements to the same units in order to evaluate the amounts of paint in each jar. All quantities should now be expressed in fluid ounces (fl oz):
=> 2 gallons 4 liquid ounces = 36 liquid ounces.
=> 80 fluid ounces = 5 glasses
=> equivalent to 39 fluid ounces
The quantities of paint in the jars are as follows:
=> 36 fl oz. blue container
=> 80 fl oz. purple container
=> 39 fl oz. green container
As a result, the blue jar has the least quantity of paint (40 fl oz) and the purple jar has the most (80 fl oz). (36 fl oz).
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The graph shows the range of amounts of carbon dioxide (CO2) given off to produce one kilowatt/hour for different methods
of electricity production.
How does the amount of carbon dioxide given off by nuclear power compare with the amount of carbon dioxide produced by other
sources of energy?
A)
B)
C)
D)
Nuclear power produces the second lowest amount of carbon dioxide in
the graph.
Nuclear power produces the second highest amount of carbon dioxide in
the graph.
G
Nuclear power produces less carbon dioxide than all other sources of
power in the graph.
Nuclear power produces more carbon dioxide than all other sources of
power in the graph.
One day the farm stand sold 5/6 of the watermelons for $5.75 each. They still have 8 watermelons left. They took in how much money selling watermelons that day?
Therefore, they took in $43.10 selling watermelons that day.
Describe the dollar sign($)?
The dollar sign, also referred to as the peso sign, is a symbol that looks like a capital "S" crossed with one or two vertical strokes ($ or Cifro symbol depending on typeface), and it's used to denote the unit of many different currencies around the world, including the majority of currencies denominated in "pesos" and "dollars." The Portuguese word for the specifically double-barred Cifro symbol is cifro.
The sign is also present in a number of compound currency symbols, including those for the Nicaraguan córdoba (C$) and the Brazilian real (R$).
If they sold 5/6 of the watermelons, then they sold 8/6 of the watermelons. So, they sold 4/3 of the watermelons.
If they sold 4/3 of the watermelons for $5.75 each, then they sold each watermelon for $4.31.
They sold 5/6 of the watermelons for $5.75 each,
so they sold
5/6 × 4/3
= 20/18 = 10/9 of the watermelons for $4.31 each.
$4.31 * 10 = $43.10 That day.
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the kyoto protocol was signed in 1997, and required countries to start reducing their carbon emissions. the protocol became enforceable in february 2005. in 2004, the mean co2 emission was 4.66 metric tons per capita. is there enough evidence to show that the mean co2 emission is lower in 2010 than in 2004? state the random variable, population parameter, and hypotheses.
Yes, there are enough evidence to show mean CO2 emission is lower in 2010 than in 2004.
The random variable is mean CO2 emission per capita , population parameter is CO2 emission per capita in population and null hypothesis is rejected as p-value is smaller than significant value.
The random variable is represented as the mean CO2 emission per capita.
The population parameter represented as the interest is the true mean CO2 emission per capita in the population in 2010.
Let μ_0 be the population mean CO2 emission per capita in 2004
And μ_1 be the population mean CO2 emission per capita in 2010.
The null hypothesis is,
There is no difference in the mean CO2 emissions per capita between 2004 and 2010,
H0: μ_0 = μ_1
The alternative hypothesis is,
The mean CO2 emissions per capita in 2010 are lower than the mean CO2 emissions per capita in 2004,
Ha: μ_0 > μ_1
To determine whether there is enough evidence to reject the null hypothesis,
Collect data on CO2 emissions per capita in 2010 and perform a hypothesis test .
Using a suitable statistical test such as a one-sample t-test.
If the test results in a p-value that is smaller than the chosen significance level (typically 0.05).
Reject the null hypothesis .
And conclude that there is enough evidence to show that the mean CO2 emissions per capita are lower in 2010 than in 2004.
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of the 75 entries in a costume contest, 31 entrants were dressed as heroes and 31 entrants were wearing a mask. if 15 entrants were dressed as heroes wearing a mask, how many entrants were neither dressed as heroes nor wearing a mask?
The 75 entries in a costume contest, 31 entrants were dressed as heroes and 31 entrants were wearing a mask. 8: No masks or costumes were worn by contestants .
What is Probability?The possibility of an event occurring is described by the concept of probability. In real life, we frequently have to make predictions about the future. We might know about the result of an occasion.
We declare that there is a possibility that the event will take place when this occurs.
In conclusion, probability can be used in a lot of great ways in business, entertainment, and this new area of artificial intelligence.
By simply dividing the total number of possible outcomes by the favorable number, the probability of an event can be calculated using the probability formula.
n(A)=31 and n(B) = 20 and n(AB) =9
50-42 = 8
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Milo likes the make fruit soda when he has people over to his house. He has determined that the juice to sparkling water ratio should be 4:3. He estimates that he will want 70 cups in all. How much juice and how much sparkling water will he need for the 70 cups
To make 70 cups of fruit soda with a juice-to-sparkling water ratio of 4:3, Milo will need 40 cups of juice and 30 cups of sparkling water.
If the juice-to-sparkling water ratio is 4:3, then we can write it as 4x:3x, where x is a common factor.
Let's say Milo wants to make a total of 7x cups of fruit soda (since 4x + 3x = 7x). We know that 7x = 70 cups, so x = 10.
Therefore, Milo needs 4x = 40 cups of juice and 3x = 30 cups of sparkling water.
You will therefore need 40 cups of juice and 30 cups of sparkling water to generate 70 cups of fruit soda with a 4:3 juice-to-sparkling water ratio.
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Using the formula (1)/(x)=(1)/(y)-(1)/(z), express
z in terms of x and y.
(1)/(x)=(1)/(y)-(1)/(z) is an example of an equation that can be used to express z in terms of x and y. z can be expressed in terms of x and y as z= xy+1/y-x.
What is an equation?It is typically written using an equals sign “=” to show that the two expressions on either side of the equals sign are the same.
To solve the equation, it must first be rearranged so that z is on its own side of the equation.
This can be done by multiplying both sides of the equation by x and then subtracting (1)/(y) from both sides.
(1)/(x)=(1)/(y)-(1)/(z)
1-1/y= (x/y-x/z)-1/y
This yields the equation
y-1/y=(x/y-1/y)-(x/z+1/y)
y-1/y= (x-1/y)-(xy+1/zy)
(y-1/y)-(x-1/y)= (-xy)+1/zy
y-x/y= xy+1/zy
y-x=(xy+1)y/zy
Once the equation has been rearranged, the next step is to solve for z.
z= xy+1/y-x
z= xy+1/y-x
Therefore, z can be expressed in terms of x and y as z= xy+1/y-x.
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HELPPP ITS ABT ESTIMATION ILL MARK U BRAINLIST
Answer: the answer is A
reason: 224294 * 43 / 100 = around 96320
4 hundreds+6 hundreds=10 hundreds=
Answer: 2,000
Step-by-step explanation:
4 x 100 = 400
6 x 100= 600
400 + 600= 1,000
10 x 100= 1,000
1,000 + 1,000= 2,000
Please help due soon!
Answer:
Step-by-step explanation:
[tex]x^2=17^2-15^2[/tex] (Pythagoras Theorem)
[tex]x^2=64[/tex]
[tex]x=8[/tex]
15.1 central angles and inscribed angles an equilateral triangle is inscribed in a circle. how does the relationship between the measures of the inscribed angles and intercepted arcs help determine the measure of each angle of the triangle? what is the relationship between inscribed angles and central angles in a circle?
The intercepted arcs of the inscribed angle are in proportion to the inscribed angle itself. In other words, the larger the inscribed angle, the more significant the intercepted arc it cuts, and vice versa. So, in an equilateral triangle, each of the inscribed angles of the circle measures 60°, which is half of the central angle of 120° that intercepts the same arc.
The angle measure and intercepted arcs of inscribed angles in an equilateral triangle inscribed in a circle are related, and the relationship between inscribed angles and central angles in a circle is that the inscribed angles are half of the central angle. Let us have a more in-depth understanding of these two angles.An inscribed angle is an angle that has its vertex on the circle and is formed by two chords that intersect at that point. It is half of the central angle that intercepts the same arc.A central angle is an angle whose vertex is at the center of the circle, and the sides of the angle pass through any two points on the circumference of the circle.
For an equilateral triangle inscribed in a circle, each angle measures 60°, and the central angle measures 120°. So, each of the two inscribed angles measures half of the central angle, i.e., 60°.The relationship between inscribed angles and intercepted arcs.
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cody was 165 cm 165cm165, start text, c, m, end text tall on the first day of school this year, which was 10 % 10, percent taller than he was on the first day of school last year. how tall was cody on the first day of school last year? cm cm
If Cody was 10 %, percent taller than he was on the first day of school last year then he was 150 cm tall on the first day of school last year.
To find out the height of Cody on the first day of school last year, we need to perform a calculation as follows:
Let's say their height of Cody on the first day of school last year is 'x'.
His height of Cody on the first day of school this year is 165 cm.
Cody is 10% taller than he was on the first day of school last year, so:
165 = x + (10% of x)
Simplifying this equation will give
165 = x + 0.1 x 165
= 1.1xx
= 150
Therefore, Cody was 150 cm tall on the first day of school last year.
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2. (07.03)
What is the value of y in the equation 2(4y - 1) = 6? (4 points)
O
00
01
06
08
Answer:
The answer to your problem is, y = 1
Step-by-step explanation:
2(4y - 1) = 6, use distributive property: a(b - c) = ab - ac
8y - 2 = 6, add 2 to both sides
8y = 8, divide both sides by 8
Y = 1
Thus the answer to your problem is, y = 1
Answer:
1 is the answer
I took the test
N On the return journey, the lorry leaves at 14 55 and arrives at the factory at 18 15. Calculate the time taken and the average speed of the lorry on the return journey.
After calculation, we know that the time taken by the lorry is 3 hours and 20 minutes.
What is time?Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.
Military time starts with 0000, also known as "zero hundred hours" or just "zero hundred," at the stroke of midnight.
Then, multiply each hour by one hundred, such that 1 a.m. is equal to 0100 (zero one hundred) hours, 2 a.m. is equal to 0200 (zero two hundred) hours, and so on.
So, we need to calculate the time as follows:
Leaving time = 14:55
Arriving time = 18:15
Then,
14:55 to 15:15 = 20 minutes
Then, 15:15 to 18:15 = 3 hours
Then, the total time taken would be:
3 hours and 20 minutes
Therefore, after calculation, we know that the time taken by the lorry is 3 hours and 20 minutes.
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Complete question:
On the return journey, the lorry leaves at 14 55 and arrives at the factory at 18 15. Calculate the time taken.
Please help my solve this
Answer:
The answer is Sin B
Step-by-step explanation:
I remember in 8th grade doing this
an auto dealer has 5 different cars and 6 different trucks. how many ways are there to select two vehicles?
The number of possible ways to select two vehicles = 55
Let m represents the number of cars and n represents the number of trucks.
An auto dealer has 5 different cars and 6 different trucks.
This means that m = 5 and n = 6
so, the total number of vehicles (t) would be,
t = m + n
t = 5 + 6
t = 11
Let us assume that p represents the number of possible ways to select two vehicles.
We use the combination formula.
[tex]^{n}C_r=\frac{n!}{r!(n-r)!}[/tex]
here, n = 11 and r = 2
Using combination formula,
p = [tex]^{11}C_2[/tex]
p = [tex]\frac{11!}{2!\times (11-2)!}[/tex]
p = 55
Therefore, the number of possible ways = 55
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the altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the triangle is increasing at a rate of 1 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 10 centimeters and the area is 94 square centimeters?
If the altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the triangle is increasing at a rate of 1 square centimeter/minute. then the Base of the triangle is changing at a rate of 28.2 cm/min when the altitude is 10 cm and the area is 94 sq cm.
The given data is the altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the triangle is increasing at a rate of 1 square centimeter/minute. then the rate of the base of the triangle changing when the altitude is 10 centimeters and the area is 94 square centimeters is calculated as,
Area of a triangle = 1/2 * base * height
The given area of the triangle is 94 square centimeters.
Area of the triangle = 1/2 * base * altitude
94 = 1/2 * b * 10b
= 18.8 centimeters
Differentiate w.r.t t 94 = 1/2 * b * hdb/dt
= -94 / 5 dA/dt
= 1 square centimeter/minute
= dh/dt * b / 2dh/dt
= (2 / b) * dA/dt
Substitute the values in the above equation,
3 = (2 / 18.8) * dA/dtdA/dt
= (3 * 18.8) / 2
= 28.2
square centimeters/minute Base of the triangle is changing at a rate of 28.2 cm/min when the altitude is 10 cm and the area is 94 sq cm.
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I NEED HELP ON THIS ASAP!!
Therefore, the area of triangle XYZ is 2 square units.
What is area?Area is a measure of the size of a two-dimensional shape or surface. It is defined as the amount of space inside the boundary of a flat or planar figure, such as a triangle, square, rectangle, or circle. The unit of area is typically square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²).
Here,
To determine the area of triangle XYZ with coordinates (6,1), (2,5), and (10,9), we can use the formula for the area of a triangle:
Area = (1/2) * base * height
where the base is any side of the triangle and the height is the perpendicular distance from the base to the opposite vertex.
Distance between (6,1) and (2,5):
= √((6 - 2)² + (1 - 5)²)
= √(20)
So, the base of the triangle is √(20).
We can use the formula for the distance between a point and a line to do this:
Distance from (10,9) to line passing through (6,1) and (2,5):
= |(10 - 6)(5 - 1) - (2 - 6)(9 - 1)| / √((5 - 1)² + (6 - 2)²)
= 4 / √(20)
So, the height of the triangle is 4 / √(20).
Now, we can plug in the values for the base and height into the formula for the area of a triangle:
Area = (1/2) * base * height
= (1/2) * √(20) * (4 / √(20))
= 2
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3 times a number is 28 less than the square of that number. Find the negative solution
Answer:
-b = √(3a+28)
Step-by-step explanation:
3a = -28 + b²
3a + 28 = b²
√(3a + 28) = √b²
negative solution:
-b = √(3a+28)