Answer:
1200 bats
Step-by-step explanation:
78 - 39 = 39
600 x 2 = 1200(bats).
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability
of that child getting a green marble?
A 66
B
40
с .33
D .10
4x - 1 < 11
solve the inequality
Answer:
12
Step-by-step explanation:
127491733816383827i 9273
Which of the following choices is the value of cscθ given that cosθ= √2/2?
For the cosecant we will get:
[tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]
So the correct option is the third one.
Which of the following choices is the value of cscθ given that cosθ= √2/2?First, we can write:
[tex]csc(x) = \frac{1}{sin(x)}[/tex]
Now, remember that:
[tex]cos(x) = \frac{\sqrt{2} }{2} \\\\for\ x = \pm \frac{pi}{4}[/tex]
And for the sine we have:
[tex]sin(pi/4) = \frac{\sqrt{2} }{2} \\\\sin(-pi/4) = -\frac{\sqrt{2} }{2} \\[/tex]
Then the cosecant for these possible values of x gives:
[tex]csc(\pm \frac{pi}{4}) = \frac{1}{sin(\pm \frac{pi}{4})} = \pm \frac{2}{\sqrt{2} } = \pm \sqrt{2}[/tex]
So the correct option is the third one.
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A random sample of 81 items is taken,producing a sample of 47.the population standard deviation is 5.89.construct a 90% confidence interval to estimate the populations mean.
The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value. The confidence interval for the given sample is 48.07656, 45.9234.
What is a confidence interval?The confidence interval (CI) is a range of values that, with a particular level of confidence, is likely to include a population value. The percentage is used to represent the location of a population mean between an upper and lower interval.
Given the random sample is 81, while the sample means is 47, the standard deviation is 5.89. Therefore, the confidence interval for 90% of the population mean is,
[tex]CI = \bar{x} \pm z \dfrac{s}{\sqrt{n}}\\\\CI = 47 \pm 1.645 \dfrac{5.89}{\sqrt{81}}\\\\CI= 47 \pm 1.07656\\\\CI = 48.07656, 45.9234[/tex]
Hence, the confidence interval for the given sample is 48.07656, 45.9234.
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A triangle has sides with lengths of 12 meters, 19 meters, and 20 meters. Is it a right triangle?
======================================================
Work Shown:
[tex]a = 12\\\\b = 19\\\\c = 20\\\\a^2+b^2 = 12^2+19^2 = 505\\\\c^2 = 20^2 = 400\\\\[/tex]
The values of [tex]a^2+b^2[/tex] and [tex]c^2[/tex] are not the same number
Therefore, there's no way that [tex]a^2+b^2 = c^2[/tex] is possible, which means we do not have a right triangle.
Put another way: since [tex]a^2+b^2 \ne c^2[/tex], this means we don't have a right triangle.
Refer to the converse of the pythagorean theorem for more information.
Side note: because of that same theorem, and because [tex]a^2+b^2 > c^2[/tex] is the case, this means we have an acute triangle based on what is shown below.
Vector w has its initial point at (2, 5) and its terminal point at (-4, -2). Write the vector in component form and find its magnitude.
Answer: -6, -7
Magnitude = 9.22
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve the system by graphing.
y = x+2
2x-y=-1
Answer:
The intersection is at (1,3) and the answer is in the graph. (see image below)
Step-by-step explanation:
Im very stuck lol...
Answer:
Model the expression as 3 groups of x+2.
There are 3 x-tiles.
There are 6 +1 tiles.
The equivalent expression is 3x+6
Step-by-step explanation:
see image. This program is trying to help you learn algebra (here it looks like distributive property) by using a physical model. The bars are x's and the +1's are numbers. The little squares are 1 each (positive or negative, but you only need the positives for this question)
see image.
The lesson is:
3(x+2) = 3x + 6
The population in the United States was roughly 161,000,000 in 1950. By 2000, it had grown to roughly 291,000,000. Assume that the population in the United States grew linearly during that period. Find a linear equation which models the population in the United States during the period 1950 to 2000
to get the equation of any straight line, we simply need two points off of it, so let's use the ones provided in the table above.
[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{millions}{population}&year\\ \cline{1-2} 161&1950\\ 291&2000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{161}~,~\stackrel{y_1}{1950})\qquad (\stackrel{x_2}{291}~,~\stackrel{y_2}{2000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2000}-\stackrel{y1}{1950}}}{\underset{run} {\underset{x_2}{291}-\underset{x_1}{161}}} \implies \cfrac{ 50 }{ 130 }\implies \cfrac{5}{13}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1950}=\stackrel{m}{\cfrac{5}{13}}(x-\stackrel{x_1}{161}) \\\\\\ y-1950=\cfrac{5}{13}x-\cfrac{805}{13}\implies y=\cfrac{5}{13}x-\cfrac{805}{13}+1950\implies y=\cfrac{5}{13}x+\cfrac{24545}{13}[/tex]
What is the slope of the line that is parallel to the line whose equation is 4x + y2 = 0?
We know the slope formula
m=-a/bm=-4/2m=-2Parallel lines have equal slope so it has m=-2
A) on monday, you have a single request: order a for 15,000 units. it must be fulfilled by a single factory. to which factory do you send the order? explain your decision. support your argument with numbers.
Based on the above, it can be inferred that the best option to produce the 15,000 units is the factory with the lowest cost per unit.
What is the cost per unit?Unit cost is a term to refer to the value per unit of a product that a factory charges to produce it.
In this case, the best alternative to produce 15,000 products is the factory with the lowest cost per unit, since this will reduce the cost of the order.
How to find the cost per unit?To find the cost per unit we divide the total cost of the order by the number of units. For example:
If the factory tells me that it charges me 10,000 to make 15,000 units, while another one charges me 8,000 to make 15,000 units. Which one has less value per unit?To know which one is more convenient, I must divide the total value by the number of units
10,000 ÷ 15,000 = 0.668,000 ÷ 15,000 = 0.53According to the above, the second option would be the cheaper.
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Answer:
.53 facory B
Step-by-step explanation:
10000/15000 =.66
8000
Which of the following shapes have faces? Select two options.
cube
rectangle
hexagon
octagon
pyramid
circle
Answer:
Objects mostly have one or more geometrical shapes like the following. These types of shapes are called three dimensional (3-D) shaped solids. All these geometrical shapes have faces. We have learned about faces like triangular faces, rectangular face, square face and circular face.
15 and 12 are the two longest side lengths of a right triangle. What should the shortest side length
be in order to form a Pythagorean Triple?
Answer:
9 units
Step-by-step explanation:
Using Pythagorean Theorem
12^2 + x^2 = 15^2
144 +x^2 = 225
x^2 = 81
x = 9
Can you guys pls help me with this math question
Answer:
Dimensions: 150 m x 150 m
Area: 22,500m²
Step-by-step explanation:
Given information:
Rectangular fieldTotal amount of fencing = 600mAll 4 sides of the field need to be fencedLet [tex]x[/tex] = width of the field
Let [tex]y[/tex] = length of the field
Create two equations from the given information:
Area of field: [tex]A= xy[/tex]
Perimeter of fence: [tex]2(x + y) = 600[/tex]
Rearrange the equation for the perimeter of the fence to make y the subject:
[tex]\begin{aligned} \implies 2(x + y) & = 600\\ x+y & = 300\\y & = 300-x\end{aligned}[/tex]
Substitute this into the equation for Area:
[tex]\begin{aligned}\implies A & = xy\\& = x(300-x)\\& = 300x-x^2 \end{aligned}[/tex]
To find the value of x that will make the area a maximum, differentiate A with respect to x:
[tex]\begin{aligned}A & =300x-x^2\\\implies \dfrac{dA}{dx}& =300-2x\end{aligned}[/tex]
Set it to zero and solve for x:
[tex]\begin{aligned}\dfrac{dA}{dx} & =0\\ \implies 300-2x & =0 \\ x & = 150 \end{aligned}[/tex]
Substitute the found value of x into the original equation for the perimeter and solve for y:
[tex]\begin{aligned}2(x + y) & = 600\\\implies 2(150)+2y & = 600\\2y & = 300\\y & = 150\end{aligned}[/tex]
Therefore, the dimensions that will give Tanya the maximum area are:
150 m x 150 m
The maximum area is:
[tex]\begin{aligned}\implies \sf Area_{max} & = xy\\& = 150 \cdot 150\\& = 22500\: \sf m^2 \end{aligned}[/tex]
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?
The scenario that could be accurately modeled using this diagram is B. Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
How to depict the information?Here is the remainder of the question:
Which of the following scenarios could be accurately modeled using this diagram?
Juan Victor gave a gratuity of $25 on a bill that was $48.
Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
Juan Victor gave a gratuity of $12 on a bill that was $100.
Juan Victor gave a 12% gratuity on a bill that was $25.
A conceptual model is a representation of a system to help people understand a subject the model represents.
In this case, the scenario that could be accurately modeled using this diagram is that Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
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Its The Wolf
Its like part A and needs to be answer like that
The probability that the next elk that will be caught will be unmarked is 5400/ 5625, 0.96 and 96%
The probability that the next wolf that will be caught will be unmarked is 696 / 928, 0.75 and 75%.
What are the probabilities?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the next elk that will be caught will be unmarked = number of unmarked elks / total number of elks
number of unmarked elks = 5625 - 225 = 5400
5400/ 5625 = 0.96 = 96%
The probability that the next wolf that will be caught will be unmarked = number of unmarked wolfs / total number of wolfs
number of unmarked wolfs = 928 - 232 = 696
696 / 928 = 0.75 = 75%.
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f(7) if f(x) = x + 10.
Answer:
17
Step-by-step explanation:
at f(7) means x is 7
7+10 is 17
Liam has 4 ½ cups of sugar. He uses 2 ½ cups to bake bread, then borrows another 1 cup from his neighbor. He wants to bake cookies, which take 2 ½ cups of sugar. Does he have enough? How much will he have left over,or how much more does he need?
Answer:
1/2
Step-by-step explanation:
1. 4 1/2- 2 1/2= 2
2. 2+1=3
3. 3-2 1/2= 1/2
He has enough
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST
Answer:
A = 16803.2 in^2
Step-by-step explanation:
The area of a regular polygon is [tex]A=\frac{1}{2}(a)\cdot{P}[/tex], where a is apothem and P is the perimeter.
Given side length s = 59 in, and the knowledge that this is an octagon (8 sides): P = 8s.
Substitute the value of s into the equation: [tex]P=8(59)=472[/tex]Now substitute all known values into the area formula: [tex]A=\frac{1}{2}(71.2)\cdot{472}[/tex]
Simplify: [tex]A=16803.2[/tex]Seema is travelling to Australia. She travels a distance of 4,500 km by plane to Dubai and then another 11,700 km to Melbourne. Both planes fly at an average speed of 1,100 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
Add the two trips together for total Km’s:
4500 + 11700 = 16,200 km.
divide total km by speed:
16,200 / 1,100 = 14.727272 hours
0.727272 x 60 minutes per hour = 43.636363 minutes, round up to 44 minutes
total time: 14 hours and 44 minutes
What can you conclude about the population density from the table provided? Population Area (km²) Region A 20,178 521 Region B 1,200 451 Region C 13,475 395 Region D 6,980 426
Answer:
A got it right
Step-by-step explanation:
got it right
Which step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle?.
Step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle is shown below:
What is construction?Geometric construction is the process of drawing a geometrical figure using two geometrical instruments, a compass, and a ruler.
Construction of an inscribed regular hexagon
1) Set compass width to the radius of the circle
2) Make an arc on the circle with the set radius.
3) From the previous arc draw another arc with the same radius.
4) Continue this process for the other vertex.
5) Connect all the vertices.
Construction of an inscribed equilateral triangle
1) Set compass width to the radius of the circle
2) Make an arc on the circle with the set radius.
3)From the previous arc draw another arc with the same radius.
4)Continue this process for the other vertex.
5) Connect the every other vertices point by drawing a line between every other adjacent vertex point to form an inscribed equilateral triangle.
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The weight of vegetables transported by a farmer to a nearby market increases by 15% every month.
The farmer transports 460 pounds of vegetables in April, 529 pounds of vegetables in May, 608.35 pounds of vegetables in June, and 699.60 pounds of vegetables in July.
Approximately how many pounds of vegetables will be transported to the market in August
Using proportions, it is found that 804.54 pounds of vegetables will be transported to the market in August.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the weight increases by 15% every month, the August amount will be the July's amount multiplied by 1.15, hence:
A = 1.15 x 699.60 pounds = 804.54 pounds.
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Show problem set up for full credit.
Answer:
∠ QPR = 125°
Step-by-step explanation:
the angles subtended by 2 congruent arcs are congruent , that is
5x = 4x + 25 ( subtract 4x from both sides )
x = 25
Then
∠ QPR = 4x + 25 = 4(25) + 25 = 100 + 25 = 125°
Choose the best definition for the following phrase: like terms (1 point)
Group of answer choices
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
The best definition of the phrase "like terms" is as follows: terms that have identical variable parts.
What are like terms in algebra?Like terms is used to describe terms that contain the same variable which is raised to the same power.
Algebra is an aspect of mathematics that involves the system of computation using letters or other symbols to represent numbers.
For example; in the algebraic expression: x² + 3 - 2x², x² and 2x² are like terms because they are terms that have identical variable parts.
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What is the slope of a line perpendicular to the line whose equation is 5x - y = -7.
Fully simplify your answer.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]5x-y=-7\implies 5x-y+7=0 \\\\\\ \stackrel{\stackrel{m}{\downarrow }}{5} x+7=y\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so a line perpendicular to that one above will have a slope of
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{5\implies \cfrac{5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{5}}}[/tex]
A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting a bird?
express the probability as a reduced fraction
Ava scored 18 points in a basketball game. She scored seven points more than Claire. Let c
be the number of points scored by Claire. Set up an equation that lets you solve for the value
of c.
Answer:
11 points
Step-by-step explanation:
Claire had 11 points because 18-7=11
C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Ava scored 18 points in a basketball game.
Let Ave score be represented as A.
Ave scored seven points more than Claire.
Let C be the Claire score.
A=7+C
As given Ava scored 18 points in a basketball
so the value of A is 18
18=7+C
Now let us find the value of C
Subtract 7 from both sides
18-7 =C
11=C
Hence, C+7 =18 is the equation which can be used to find the Claire score C, the value of C is 11.
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Hey there, been stuck on the math word problem, please help and give a good explanation :)
Answer:
13.4meters
Step-by-step explanation:
13.4×3×1.5 = 60.3
vol = L X W X H
60.3 = 3 X 1.5 X H
60.3 / 3 / 1.5 = H
The height in feet is modelled by the function below, where the t is in
seconds after the object hit into the air. Appromixmately which time does the object reach the lowest height?
f(t) = -21² +22t + 6
A. 7 seconds
B. 5 seconds
C. 8 seconds
D. 11 seconds
The object reaches the lowest height at 5 seconds
How to determine the time?The function is given as:
f(t) = -2t² +22t + 6
Differentiate the function
f'(t) = -4t +22
Set to 0
-4t +22 = 0
Subtract 22 from both sides
-4t = -22
Divide both sides by -4
t = 5.5
Remove decimal points
t = 5
Hence, the object reaches the lowest height at 5 seconds
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