Answer:
[tex]( - 28 \infty )[/tex]
Step-by-step explanation:
We have already found the solution to the inequality, but since we want to represent the solution in interval notation, we have changed it.
hopefully this helps! :)
The county fair charges $10 admission and $2 per ride. What is the cost for one admission and r rides
The total cost for one admission and r rides is $10 for admission and $2 multiplied by r for the rides, which can be expressed as the formula: Cost = $10 + $2r.
The problem statement provides two pieces of information: the admission cost and the ride cost. We are asked to find the total cost for one admission and r rides.
The admission cost is straightforward - it is a fixed cost of $10. This means that regardless of how many rides you go on, you will always pay $10 just to get into the fair.
The ride cost is based on the number of rides you go on. Each ride costs $2, so if you go on r rides, you will pay $2 multiplied by r, or 2r, for the ride portion of the cost.
To find the total cost for one admission and r rides, we simply add the admission cost of $10 to the ride cost of 2r, which gives us the formula:
Cost = $10 + $2r
This formula tells us that the cost of one admission and r rides is equal to $10 plus $2 multiplied by the number of rides (r) that the person goes on.
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Africa and South America are moving away from each other at a rate of 4 centimeters per year. The two coast are separated by 5,000km assuming the rate is constant how long ago were the coasts touching
Assuming the rate is constant, 125,000,000 years agο the cοasts were tοuching.
What is rate?It is a term that basically defines the change in sοme quantity with respect tο anοther quantity. In mathematics it alsο defines ratiο where the numeratοr is οne physical quantity and denοminatοr is anοther quantity.
Given that, the twο cοast are separated by 5,000km.
Alsο given that Africa and Sοuth America are mοving away frοm each οther at a rate οf 4 centimetres per year.
The rate is cοnstant.
Nοw 5000km= 500,000,000 cm
distance = rate × time
distance/rate = time
sο, 500,000,000/4 = 125,000,000
Hence, the cοasts were tοuching 125,000,000 years agο.
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Pls help
I need help asap
I need help with this please
Answer:
180 cubic centimeters
Step-by-step explanation:
How can we find the volume of a box?We can find the volume of a box by multiplying the dimensions of the box together.
In other words
Volume = length × width × height
Finding the volume of the boxGiven dimensions
length = 6 cmheight = 10 cm width = 3 cmBy plugging these given dimensions into the formula we acquire
Volume = 6 × 10 × 3
==> multiply 10 and 6
Volume = 60 × 3
==> multiply 60 and 3
Volume = 180
The volume of the box is 180 cubic centimeters.
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A bag contains nine yellow marbles and five red marbles. You randomly select two marbles from the bag. What is the probability that both marbles are yellow when you do not replace the first marble before selecting the second marble?
The probability of drawing two yellow marbles without replacement is approximately 0.412 or 41.2%.
What is probability ?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is used to make predictions, analyze risks, and make decisions in various fields such as science, economics, and finance.
The probability of drawing a yellow marble on the first draw is 9/14, since there are 9 yellow marbles out of a total of 14 marbles in the bag. Since the first marble is not replaced before the second draw, there will be 8 yellow marbles left in the bag out of a total of 13 marbles.
So, the probability of drawing a yellow marble on the second draw, given that the first marble was yellow, is 8/13.
To find the probability of both marbles being yellow, we need to multiply the probability of drawing a yellow marble on the first draw by the probability of drawing a yellow marble on the second draw, given that the first marble was yellow:
P(both yellow) = P(first yellow) x P(second yellow | first yellow)
= 9/14 x 8/13
= 0.412
Therefore, the probability of drawing two yellow marbles without replacement is approximately 0.412 or 41.2%.
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At a pancake breakfast, there are a total of 150 pancakes.
Some are blueberry, some are plain, some are chocolate chip.
Two-thirds of the blueberry ones are eaten.
Four-fifths of the plain ones are eaten.
Half of the chocolate chip ones are eaten.
Now there are an equal number of each type of pancake.
How many of each type of pancake was there to begin with?
Applying equations, the number of each type of pancake are originally: 81 blueberry pancakes, 27 plain pancakes, and 42 chocolate chip pancakes.
How to Solve Word Problems Using Equations?Let's use the following variables to represent the number of each type of pancake:
Let x be the number of blueberry pancakes.Let y be the number of plain pancakes.Let z be the number of chocolate chip pancakes.From the problem statement, we know that:
x + y + z = 150 (total number of pancakes)
1/3 x blueberry pancakes are left
4/5 y plain pancakes are left
1/2 z chocolate chip pancakes are left
There are now an equal number of each type of pancake
From the last statement, we can set up the following equations:
1/3 x = y = 1/2 z
Multiplying all sides of each equation by the least common multiple of the denominators, we get:
2x = 6y = 3z
Dividing all sides of each equation by 2, we get:
x = 3y = 3/2 z
Now we can use the equation x + y + z = 150 to substitute for x in terms of y and z:
3y + y + 2/3(3/2z) = 150
Simplifying and solving for z, we get:
5z = 270
z = 54
Substituting z = 54 into x = 3/2 z, we get:
x = 81
Substituting z = 54 into y = x/3, we get:
y = 27
Therefore, there were originally 81 blueberry pancakes, 27 plain pancakes, and 42 chocolate chip pancakes.
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How to determine the inventory cost by the average cost methods for FIFO and LIFO?
FIFO Method:
1. Determine the cost of the oldest inventory items available for sale (i.e., the items purchased first.
2.Multiply the cost per item by the number of items sold to determine the COGS.
3.Subtract the COGS from the total cost of the oldest inventory items to determine the value of the last inventory.
LIFO Method: The only difference between FIFO and LIFO method is that in LIFO method, newest inventory cost and value are determined in the first and last step respectively.
What is average cost method?The average cost method is a way of determining the cost of inventory by taking the average of the cost of each item in the inventory. FIFO and LIFO are two other methods of determining the cost of inventory.
Average Cost Method:
Determine the total cost of all inventory items available for sale.
Determine the total number of inventory items available for sale.
Divide the total cost of inventory by the total number of items to get the average cost per item.
Multiply the average cost per item by the number of items sold to determine the cost of goods sold (COGS).
Subtract the COGS from the total cost of inventory to determine the value of the ending inventory.
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question in screenshot please help
Therefore, the recursive formula for the population growth model is:
[tex]P_n = 0*P_n-1[/tex] And the explicit formula for [tex]P_n[/tex] is:
[tex]P_n = 80*(1+0) n\\P_n=80[/tex]
What is Exponential Growth Model.?The exponential growth model is a mathematical function that describes the growth of a population or system over time, assuming that the rate of growth is proportional to the size of the population or system. In other words, the model assumes that the growth rate of the population or system increases as the population or system grows larger.
by the question.
To find the recursive formula for the population growth model, we need to use the equation:
[tex]P_n = r*Pn-1[/tex]
where [tex]P_n[/tex] represents the population size at time n, Pn-1 represents the population size at the previous time step (n-1), and r represents the growth rate.
Given that the population grows exponentially with Po = 80, we can use the formula:
[tex]P_n = Po *(1 + r)n[/tex]
where Po is the initial population size and n is the number of time steps.
Using the fact that [tex]P_1 = 80[/tex], we can solve for the growth rate r:
[tex]Pq = Po * (1 + r)1\\80 = 80* (1 + r)1\\1 + r = (80/80)^(1/1)\\1 + r = 1^(1/1)\\1 + r = 1\\r = 0[/tex]
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Here is a triangular prism. Find the volume and surface area.
Answer:
125cm²
Step-by-step explanation:
David earns $416 in eight hours. How much does he earn in 2.8 hours
Answer:
per hour he earns 416/8= 52$
in 2.8 hours he will earn = 52×2.8= 145.6$
Step-by-step explanation:
i hope you find it helpful, have a nice day
The first thing we must know is how much David earns per hour.
$416 ÷ 8 hrs = $52/hr
$52/hr x 2.8hrs = $145.6
David earns $145.6 in 2.8 hours.
Find the volume of the solid where the cone and half sphere are hollow. Use 3.14 for π.
The Answer: 758.83 in³
Step-by-step explanation:
Volume of Solids
The volume of the solid is 758.83 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone =
The Volume of the sphere =
So the Volume of the half sphere =
The volume of solid = volume of cone + volume of the half sphere
Given
height h = 19 in
radius r = 5 in
=
= 1/3 × 3.14 × 5 × 5 × 19
= 497.16 in³
= 2/3 × 3.14 × 5 × 5 × 5
= 261.67 in³
V = 497.16 in³ + 261.67 in³
= 758.83 in³
Hence the volume of the solid is 758.83 in³
Volume of Solids
The volume of the solid is 2813 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone [tex]=1/3\pi r^2h[/tex]
The Volume of the sphere [tex]=4/3\pi r^3[/tex]
So the Volume of the half sphere [tex]=2/3\pi r^3[/tex]
The volume of solid = volume of cone + volume of the half sphere
[tex]V=V_1+V_2[/tex]
Given
height h = 26 in
radius r = 8 in
[tex]V_1=1/3\pi r^2h[/tex]
[tex]= 1/3 \times 3.14 \times 8 \times 8\times 26[/tex]
[tex]=1741.65 \ in^3[/tex]
[tex]V_2=2/3\pi r^3[/tex]
[tex]= 2/3 \times 3.14 \times 8 \times 8\times 8[/tex]
[tex]= 1071.78 \ in^3[/tex]
[tex]V = 1741.65 \ in^3 + 1071.78 \ in^3[/tex]
[tex]2813 \ in^3[/tex]
Hence the volume of the solid is 2813 in³
Ms. Munoz had students in two class periods write essays for a diagnostic test. The following dot plots show the scores from each class. Each dot represents a different student's score. 1 .II. 1 2 First period essay scores 000 ng dot plots 3 000000000 000000 5 2 3 4 Second period essay scores 5 Complete the comparison of the typical essay scores. In general, the students in Select class period ✓ had higher scores, with Select typical score v on the essay
Based on the dot plots, it can be concluded the students in the second period had higher scores with a typical score of 3 on the essay.
What do the dot plots show?The dot plots show the scores Ms. Munoz students got on their essays for two different periods. In these plots, we can observe that in the first period the scores were between 1 and 4, while in the second period, the scores were between 2 and 5.
This shows the scores were higher in the second period, moreover, the typical or the most common score was 3.
Note: This question is incomplete; below I attach the missing information.
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Kim works from 6 to 11 on Friday and Saturday evenings at Lombardi's Italian Restaurant. She gets $5.75 an hour plus tips. Her tips were $27.35 on Friday and $32. 10 on Saturday. How much did she earn for the 2 nights' work?
How much did she average per hour?
therefore , Kim earn Average is: $11.70(rounded) per hour
Total for two nights:$116.95
Friday, total earning:
(11 - 6)*$5.75 + $27.35
5×$5.75+$27.35
= $56.1
Saturday, total earning:
(11 - 6)*$5.75 + $32.10
5×$5.75+$32.10
= $60.85
Total for the two nights is:
$56.1 + $60.85 = $116.95
Define average per hour?
The term "hourly average" refers to the average result obtained from ongoing monitoring over each 60-minute interval. An arithmetic average of all entire 15-minute data blocks for a clock hour is referred to as the hourly average.
Average per hour is:
$116.95/(5 + 5)
= $116.95 / 10
= $11.70(rounded)
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(NEED HELP PLS)
The piecewise function of this graph is given below. What is the missing piece to this piecewise function? Enter the sub function and it’s domain separated by a comma.
hi i also need help me toppers
to make the same shade of green how much yellow paint does andre need if he uses 8 cups of blue paint?
How much blue paint does Andre need if she uses 15 cups of yellow paint?
Andre makes green paint by mixing 5 cups οf yellοw paint with 2 cups οf blue paint.
Tο make the same shade οf green, Andre needs 20 cups yellοw paint if he uses 8 cups οf blue paint.
Andre needs 6 cups blue paint if she uses 15 cups οf yellοw paint.
What dο yοu mean by paint?Any cοlοred liquid, liquefiable, οr sοlid mastic substance that fοrms intο a film when applied tο a surface in a thin layer is referred tο as paint. It can be used tο give texture, cοlοr, οr prοtectiοn, amοng οther things. There are numerοus types and shades οf paint that can be prοduced. Mοst paint kinds eventually sοlidify, but they are nοrmally kept, purchased, and applied as liquids. The bulk οf paints are either οil- οr water-based, and each has unique characteristics.
Andre makes green paint by mixing 5 cups οf yellοw paint with 2 cups οf blue paint.
Suppοse tο make the same shade οf green, he uses 8 cups οf blue paint and x cups οf yellοw paint.
Then, yellοw/blue= 5/2= x/8
Or, 2x= 5*8
Or, x= 40/2
Or, x=20
Sο tο make the same shade οf green, Andre needs 20 cups yellοw paint if he uses 8 cups οf blue paint.
Suppοse Andre needs y cups blue paint if she uses 15 cups οf yellοw paint.
Yellοw/blue= 5/2= 15/y
Or, 5y= 15*2
Or, y= 30/5
Or, y=6
Sο Andre needs 6 cups blue paint if she uses 15 cups οf yellοw paint.
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Statistics and probabilities
1. The probability that the mean salary of the sample is less than $60,000 is 0.0150.
2. Interpretation: There is a 1.50% probability that a random sample of 37 environmental compliance specialists will have a mean salary of less than $60,000,
How to solve for probability for mean salary?
To solve for the probability, we use the equation
(Sample mean - population mean)
standard deviation / sqrt (n)
Therefore it becomes;
z = 60,000 - 62, 0000
5600/ sqrt (37)
z = -2000
919.26
Using a standard normal distribution table or a calculator, we can find the probability that a z-score is less than -2.17.
The probability is approximately 0.0150 (rounded to four decimal places).
Therefore, the probability that the mean salary of the sample is less than $60,000 is 0.0150.
The above answer is based on the question below;
Find the probability and interpret the result. If convenient, use technology to find the probability.
The population mean annual salary for environmental compliance specialist is about $62, 000. A random sample of 37 specialists is drawn from the population. what is the probability that the mean salary of the sample is less than $60, 000? Assume б = $5,600
The probabiility that the mean salary is less than $60,000 is ................ Round to 4 decimal places is necessary.
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HELP ASAP WILL GIVE BRAINLYEST AND 45 POINTS
Applying the angle relationships, the measures are: 1. m<A = 18°; m<B = 40°; 2. m<A = 9°; m<B = 43°; 3. m<C = 123°; m<D = 158°; 4. m<C = 131°; m<D = 160°
How to Apply Angle Relationship?The position of the angle relationships in the image shown will determine the measures of the angles involved.
Therefore, we have the following for Figure A:
1. m<D = 162°; m<C = 122°
m<A = 180 - 162 = 18° [the angle relationship is linear pair]
m<B = 180 - 122 - 18 = 40° [triangle sum theorem]
2. m<D = 171°; m<C = 128°
m<A = 180 - 171 = 9° [the angle relationship is linear pair]
m<B = 180 - 128 - 9 = 43° [triangle sum theorem]
3. m<A = 22°; m<B = 35°
m<C = 180 - 22 - 35 = 123° [triangle sum theorem]
m<D = 180 - 22 = 158° [the angle relationship is linear pair]
4. m<A = 20°; m<B = 29°
m<C = 180 - 20 - 29 = 131° [triangle sum theorem]
m<D = 180 - 20 = 160° [the angle relationship is linear pair]
Therefore, we have the following for Figure B:
9. m<A = 65° [given]
m<B = 180 - 65 = 115° [linear pair]
m<C = 65° [corresponding angles]
m<D = m<B [corresponding angles]
m<D = 115°
m<E = m<C = 65° [vertical angles]
m<F = 180 - 65 - 90 = 25
10. m<A = 70° [given]
m<B = 180 - 70 = 110° [linear pair]
m<C = 70° [corresponding angles]
m<D = m<B [corresponding angles]
m<D = 110°
m<E = m<C = 70° [vertical angles]
m<F = 180 - 70 - 90 = 20
11. m<F = 22° [given]
m<E = 180 - 90 - 22 = 68°
m<E = m<C = 68° [vertical angles]
m<A = m<C = 68° [corresponding angles]
m<B = 180 - 68 = 112° [linear pair]
m<D = m<B = 112° [corresponding angles]
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Convert 2 3/4 to a decimal order
Round to the nearest hundred
To the nearest hundredths place: 29.03 kg
7 7/8 - 3 1/4 =? What’s the answer
Answer:
4 5/8
Step-by-step explanation:
7 7/8= 63/8
3 1/4= 13/4= 26/8
63/8 - 26/8= 37/8
37/8= 4 5/8
help for math (geometry)
Lisa stands at the window of a bulding looking for her lost cat.she spots her cat 58.5 m away from building.if the window is 12.6m high what is the ngle of depression from lisa line of sight to the car?draw a picture and show ur work (geometry)
Therefore, the angle of depression from Lisa's line of sight to the cat is approximately 12.21 degrees.
What is angle?An angle is a geometric figure formed by two rays (or line segments) that share a common endpoint, called the vertex. The rays are also called the sides or legs of the angle. Angles are usually measured in degrees, with a full circle measuring 360 degrees. Angles are used to describe the direction of an object, the orientation of a shape, or the position of a line. They are also used in trigonometry to calculate distances and heights in triangles, and in many other areas of mathematics and science.
Here,
In the diagram above, we have Lisa standing at point L and looking out the window of the building at her lost cat at point C, which is 58.5 meters away from the building. The height of the window from the ground is 12.6 meters. Let's call the angle of depression from Lisa's line of sight to the cat as ∠WLC. To find this angle, we need to use the tangent function, which relates the opposite side (12.6 meters) and adjacent side (58.5 meters) of ∠WLC.
tan ∠WLC = opposite / adjacent
tan ∠WLC = 12.6 / 58.5
Using a calculator, we get:
∠WLC = tan⁻¹(12.6 / 58.5)
∠WLC ≈ 12.21 degrees
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Does anyone know this answer??
Answer:
h ≈ 19 m
Step-by-step explanation:
using the tangent ratio in the right triangle
tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{20}[/tex] ( multiply both sides by 20 )
20 × tan43° = h , then
h ≈ 19 m ( to the nearest whole number )
Jack has to fill 50 water bottles for the soccer team. Each bottle holds
500 milliliters of water. How many liters of water does James need in all?
Answer: 10
Step-by-step explanation:
500 divided 50
One 12 ounce can of soda has 150 calories. If Josiah drinks the big 28 ounce size from the local mini-mart, how many calories does he get?
Find the value of c in the right triangle below. Round your answer to the nearest whole number if necessary.
Using Pythagoras theorem, the value of c is √193.
What is Pythagoras' theorem?
A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Here, we have
Given: the right triangle and given sides.
We have to find the value of c.
We apply here Pythagoras theorem and we get
a² + b² = c²
a = 7
b = 12
c = ?
(7)² + (12)² = c²
49 + 144 = c²
193 = c²
c = √193
Hence, the value of c is √193.
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A bookmark has a perimeter of 18 centimeters. Its area is 18 square centimeters. What are the dimensions of the bookmark?
The dimensions of the bookmark length = (-18 + 2sqrt(117))/9 cm
What do you mean by term Quadratic equation?A quadratic equation is an equation of the form:
ax² + bx + c = 0
where x is the variable, and a, b, and c are constants, with a ≠ 0.
The term "quadratic" comes from the fact that the highest power of x in the equation is 2 (i.e., x is raised to the second power).
Quadratic equations can be solved using a variety of methods, including factoring, completing the square, and using the quadratic formula.
Let's assume the length of the bookmark to be 'l' and the width to be 'w'.
We know that the perimeter of a rectangle is given by:
Perimeter = 2(length + width)
Substituting the values, we get:
18 = 2(l + w) --- (1)
We also know that the area of a rectangle is given by:
Area = length x width
Substituting the values, we get:
18 = l x w --- (2)
We can use equation (2) to solve for one variable in terms of the other:
l = 18/w
Substituting this in equation (1), we get:
18 = 2(18/w + w)
Simplifying, we get:
9 = 9/w + w
Multiplying both sides by 'w', we get:
w² + 9w - 18 = 0
Using the quadratic formula, we get:
w = (-9 + √(117))/2 or w = (-9 - √(117))/2
Since the width of the bookmark can't be negative, we discard the second solution.
Therefore, the width of the bookmark is:
w = (-9 + √(117))/2
We can use equation (2) to find the length of the bookmark:
l = 18/w
Substituting the value of w, we get:
l = 18/(-9 + √(117))
Simplifying, we get:
l = (-18 + 2√(117))/9
Therefore, the dimensions of the bookmark are:
length = (-18 + 2√(117))/9 cm
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What is the probability of Meikel wearing khakis and sandals?please help!!!ALL I ASK!!please anybody.. :)
Answer:
The probability of Meikel wearing khakis and sandals is
Step-by-step explanation:
3 ÷ 12 which should give us
1/4
4.0 = (0.40+ x)²/(0.15 - x)^2
solve for x
Answer:
-0.03334
Step-by-step explanation:
i just graphed it and looked at were y=4 and gave you the x value
:)
Answer:
x1 = -0.0333333, x2=0.7
Please help me! I give brainly and points
Answer:
3.5 seconds
Step-by-step explanation:
h(t) = 112t - 16t^2
we can re-write it: h(t) = -16t^2 + 112t
with a = -16 and b = 112
the formula -b/(2a) corresponds to x-coordinate of the maximum.
-112/(2 x -16) = 3.5
Around 2015, there were about 23 million people aged 13-17 living in the United States. Each one viewed an average of 800 text messages per month. Using the
average amount of text messages per person for each person, how many text messages were sent in the United states per month by this group?
Show your work using powers of 10 and express your answer in scientific notation.
Answer:
Step-by-step explanation:
To find the total number of text messages sent per month by the 23 million people aged 13-17 in the United States, we can multiply the average number of text messages per person (800) by the number of people (23,000,000):
Total number of text messages = 800 text messages/person/month x 23,000,000 people
Total number of text messages = 18,400,000,000 text messages/month
To express this number in scientific notation, we can move the decimal point 10 places to the left, since there are 10 digits to the right of the decimal point:
Total number of text messages = 1.84 x 10^10 text messages/month
Therefore, the total number of text messages sent per month by the 23 million people aged 13-17 in the United States is approximately 1.84 x 10^10 text messages.