A Cylinder can be used to model the surface area of the caterpillar with Surface area of 117.3 cm²
A full-grown monarch caterpillar is of cylinder shape . so , the option 4th is correct for first blank.
Surface area of cylinder is 2πrh + 2πr²
where r is radius of circle and h is height of cylinder
here , length of caterpillar is 5cm and radius is 2.5cm
Surface area = 2πrh + 2πr²
= 2π(5)(2.5) + 2π(2.5)²
= 2π(12.5) + 2π(6.25)
putting π = 3.14
=78.5+39.25
=117.8 cm²
Rewriting the sentence
A cylinder can be used to model the surface area of the caterpillar. Based on the model, the caterpillar has an approximate surface area of 117.8 square centimeters.
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Answer: A Cylinder can be used to model the surface area of the caterpillar with Surface area of 117.8 square centimeters
(if your on PLATO) if not then 117.8
Solve the equation x^2-2zx+3xy-6zy=0 for x in terms of y and z
Answer:
x = 2z
x = -3y
Explanation:
Given the below quadratic equation;
[tex]x^2-2zx+3xy-6zy=0[/tex]Let's go ahead and factor the above completely as seen below;
[tex]\begin{gathered} x(x-2z)+3y(x-2z)=0 \\ (x-2z)(x+3y)=0 \end{gathered}[/tex]We'll now apply the Zero-product property which states that if the product of two numbers is equal to zero, it means that at least one of the numbers is equal to zero.
Applying the Zero-product rule, we'll have;
[tex]\begin{gathered} x-2z=0 \\ x=2z \\ Or \\ x+3y=0 \\ x=-3y \end{gathered}[/tex]what is the distance between (-3,-8) and (6,-8)
Answer:
9
Step-by-step explanation:
√(6 - -3)2 + (-8 - -8)2
= √(9)2 + (0)2
= √81
= 9
Hope this helps you out :)
Put the following equation of a line into slope-intercept form, simplifying all fractions.
12x-20y=
12x−20y=
\,\,-100
−100
The slope intercept form of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. The given equation can be written in terms of slope in y = 0.6x + 5.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The equation of the line is 12x - 20y = -100
In order to write the given equation in slope-intercept form, write the given equation in terms of y as,
12x - 20y = -100
=> 20y = 12x + 100
=> y = 12 / 20x + 100 / 20
=> y = 0.6x + 5
Where slope is 0.6 and y-intercepts is 5.
Hence, the slope-intercept form of the given equation is y = 0.6x + 5.
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Alexa went shopping for a new pair of pants. Sales tax where she lives is 8.75%. What
number should she multiply the price of the pair of pants by to find the total plus tax
in one step?
To find the total plus tax she must multiply the price of the pair of pants and 108.75% ≈ 1.0875.
Given:
Alexa went shopping for a new pair of pants.
Sales tax where she lives is 8.75%.
Let x be the price of pants.
Total plus tax = prices of pair of pants * 1.0875.
= x * 1.0875
= 1.0875x.
Therefore to find the total plus tax she must multiply the price of the pair of pants and 108.75% ≈ 1.0875.
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Sally picked five buckets of blueberry she put 500 berries in each basket how many blueberries did Sally pick in all
Since each bucket contained 500 berries and there are 5 buckets we can find the total amount of berries by multiplying the number of berries per bucket by the number of buckets. This is done below:
[tex]\begin{gathered} \text{total}=500\cdot5 \\ \text{total}=2500\text{ berries} \end{gathered}[/tex]Sally picked 2500 blueberries.
Candace order a $4 sandwich a $2 drink in the $3 smoothie for lunch she has $10 as symbols to the equation to represent this situation and solve it
Let's start by adding all the values for what Candace order:
Total for the order: $4 + $2 + $3 = $9
since she has a $10 bill,
she will be able to pay for it, and have the following change back:
$10 - $9 = $1
she will get back $1.
The math equations we created are then:
4 + 2 + 3 = 9
10 - 9 = 1
Fill in the table and sketch the exponential function on a graph. y = 4^xxy-3-2-1023
We must plot the following exponential function:
[tex]y=f(x)=4^x.^{}[/tex]Replacing the values of x in the function above, we complete the table:
[tex]\begin{gathered} x=-3\rightarrow y=f(-3)=4^{-3}=\frac{1}{64}=0.015625, \\ x=-2\rightarrow y=f(-2)=4^{-2}=\frac{1}{16}=0.0625, \\ x=-1\rightarrow y=f(-1)=4^{-1}=\frac{1}{4}=0.25, \\ x=0\rightarrow y=f(0)=4^0=1, \\ x=1\rightarrow y=f(1)=4^1=4, \\ x=2\rightarrow y=f(2)=4^2=16, \\ x=3\rightarrow y=f(3)=4^3=64. \end{gathered}[/tex]So we have the following points:
• (-3, 1/64) = (-3, 0.015625),
,• (-2, 1/16) = (-2, 0.0625),
,• (-1, 1/4) = (-1, 0.25),
,• (0, 1),
,• (1, 4),
,• (1, 16),
,• (1, 64).
Now, plotting each point (x, y) and joining them, we get the following graph:
One clarification: the label of the points in the graph have been rounded.
Answer
The points of the table are:
• (-3, 1/64)
,• (-2, 1/16)
,• (-1, 1/4)
,• (0, 1),
,• (1, 4),
,• (1, 16),
,• (1, 64).
The graph of the points and the function is:
One clarification: the label of the points in the graph have been rounded.
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Analysts at the Milk Company calculated the average price of a gallon of its milk over 10 years. The
following table shows the years since 2010 and the average price of a gallon of milk at those times.
Years (since 2010) 1 3 6 8 9
Price (in dollars) 3.57 3.49 3.20 2.90 3.04
Which data display would you use to represent this data?
Histogram
Line plot
Scatter plot
Line graph
The data display method that can be used to represent the data is a scatter plot. The correct option is therefore;
Scatter plot
What is a scatter plot?A scatter plot is a graph formed by plotting the ordered pairs of a set of data on the coordinate axis such that a pattern is formed that reveals the presence of any correlation or pattern between the variables.
The data in the table are presented as follows;
Year (since 2010) [tex]{}[/tex] Price (in Dollars)
1 [tex]{}[/tex] 3.57
3 [tex]{}[/tex] 3.49
6 [tex]{}[/tex] 3.2
8 [tex]{}[/tex] 2.9
9 [tex]{}[/tex] 3.04
The value calculated by the analysts at the Milk Company = The average price of a gallon of the company's milk over 10 years.
The information obtainable from the data includes the variation of the price of milk with the number of years.
The number of data points are 5, while the number of years in 10 years is 10. Therefore, 5 data points are left out and can be estimated using a trend line that matches the data.
The data display method that will suitable represent the data is therefore a scatter plot that can be further analyzed with a trend line.
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Answer:
it the second graph im taking the quiz right noww
Step-by-step explanation:
Which of the following square roots is a rational number
First, we need to define rational numbers
Rational numbers are numbers that can be express as a quotient or fraction
From the question given, The square root of 16 is 4, this can be express as 4/1
Hence, it is a rational number
Therefore the correct option is A
What is the answer Im stressing
The value of corresponding angle x is 157°.
What are properties of parallel lines?Properties of Parallel Lines:
The pairs of corresponding angles are equal.
The pairs of vertically opposite angles are equal.
The pairs of alternate interior angles are equal.
The pairs of alternate exterior angles are equal.
Given: m║n
So, using the property of parallel lines we have the angles on the same side of transversal are supplementary. Let 23° is tranversal to α, then
23° +α = 180°
⇒α = 180°-23°
⇒α = 157°.
Now, using the property of vertically opposite angles we have
α = x = 157°
⇒ x = 157°
Therefore, the value of x is 157°.
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Please help I have a test on this and I’m not sure how to do this
ANSWER
[tex]y=-\frac{1}{4}x^2+\frac{3}{4}x+1[/tex]EXPLANATION
We want to find the equation for the function graphed.
We see that the function passes through -1 and 4 on the x-axis and 1 is the y-intercept.
These are called the roots of the function. The roots are the x values where the function equals 0.
We can find the function by applying the roots:
[tex]y=a\mleft(x-x_1\mright)\mleft(x-x_2\mright)[/tex]where x1 and x2 are the roots.
a = leading coefficient
Therefore, we have that:
[tex]\begin{gathered} y=a(x-(-1))(x-4) \\ y=a(x+1)(x-4)_{} \end{gathered}[/tex]Expand the brackets:
[tex]\begin{gathered} y=a(x^2-4x+x-4) \\ y=ax^2-4ax+ax-4a \\ y=ax^2-3ax-4a \end{gathered}[/tex]Now, we have to find a.
To do that, we use the y-intercept of the function (0, 1). The y-intercept is the value of the function when x is 0.
Therefore, when x = 0, y = 1:
[tex]\begin{gathered} 1=0-0-4a \\ \Rightarrow-4a=1 \\ a=-\frac{1}{4} \end{gathered}[/tex]Now, substitute the value of a into the function obtained earlier.
[tex]\begin{gathered} y=-\frac{1}{4}x^2-3(-\frac{1}{4})x-4(-\frac{1}{4}) \\ \Rightarrow y=-\frac{1}{4}x^2+\frac{3}{4}x+1 \end{gathered}[/tex]That is the equation of the function graphed.
Find the center and radius of the circle: x² + y² - 2x + 4y = -1
We need to complete the perfect square in x and y, that is,
[tex]x^2-2x=(x-1)^2-1[/tex]and
[tex]y^2+4y=(y+2)^2-4[/tex]Then, our given equation can be rewritten as:
[tex](x-1)^2-1+(y+2)^2-4=-1[/tex]which is equal to
[tex]\begin{gathered} (x-1)^2+(y+2)^2-5=-1 \\ \end{gathered}[/tex]By moving -5 to the right hand side, we have
[tex]\begin{gathered} \mleft(x-1\mright)^2+\mleft(y+2\mright)^2=-1+5 \\ \mleft(x-1\mright)^2+\mleft(y+2\mright)^2=4 \\ \mleft(x-1\mright)^2+\mleft(y+2\mright)^2=2^2 \end{gathered}[/tex]Since the general circle equation is
[tex]\mleft(x-h\mright)^2+\mleft(y-k\mright)^2=r^2[/tex]then, the answer is:
[tex](x-1)^2+(y+2)^2=2^2[/tex]then, the center is (h,k)= (1, -2) and the radius is r=2
What would be the property of all ( 7=2x-5) (12=2x) and (6=x), which property would they be, Addition property of equality, Subtraction Property of Equality, Multiplication property of equality, Division Property of Equality, or Substitution Property
Answer
Step-by-step Explanation
7 = 2x - 5
12 = 2x
6 = x
The movement from the first step to the second step involves adding 5 to both sides.
7 = 2x - 5
7 + 5 = 2x - 5 + 5
12 = 2x
Adding 5 to both sides, is what the addition property of equality means.
Then, the movement from the second step to the third step involves dividing both sides by 2.
Which statement is true about the function f(x) = 4x^5?
A) The function is even because f(–x) = f(x).
B) The function is odd because f(–x) = f(x).
C) The function is odd because f(–x) = –f(x).
D) The function is even because f(–x) = –f(x).
The function is odd because f(–x) = –f(x).
What is a function?
A function is a special form of relation where each input has exactly one output. In other words, for each input value, the function returns exactly one value. A relation rather than a function is depicted in the above graph because one is mapped to two different values. However, if one were instead mapped to a single value, the relationship described above would change into a function. Furthermore, output values could match input values exactly.
Odd function means f(-x) = -f(x)
and Even function means f(-x) = f(x)
Here the given function f(x) = 4[tex]x^{5}[/tex]
Put, x = -x
We have f(-x) = 4 ([tex](-x^){5}[/tex])
5 is an odd number so we will get a negative value. So f(-x) = -f(x)
Hence, The function is odd because f(–x) = –f(x).
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PLEASE I NEED HELP ASAP!!
What are the three forms of quadratic functions?
For each of the three forms, list all features we can use to characterize the equation.
The three types of quadratic functions are as follows: We can quickly find the y-intercept using the standard form. We can quickly locate the vertex in vertex form, and we can quickly determine the roots/zeros in factored form.
What are the 3 forms of a quadratic function and their features?The three forms of quadratics are the standard form, the vertex form, and factored form. Each of them reveals a specific part of the quadratic.
A quadratic has the following standard form:
A quadratic in standard form can immediately convey only two details: (1) the leading coefficient a and (2) the y-intercept. The leading coefficient a determines whether the parabola curves upwards or downwards. The y-intercept will be given by the constant c.
Vertex Form: The vertex form of a quadratic is:
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient. The leading coefficient is given by a. This tells us the orientation of the parabola. The vertex is given by (h, k). Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form: The factored form of a quadratic is:
Where p and q are the zeros/roots/solutions of the quadratic. Factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros. The zeros tell us when the parabola crosses the x-axis, which can assist in graphing.
Therefore,
Each form of a quadratic equation has its own benefits.
The standard form allows us to find the y-intercept.
The vertex form allows us to quickly locate the vertex.
The factored form allows us to quickly determine the roots/zeros.
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Which of the following statistics could you find given the information above (see
question #1)? Select all that apply.
mode
range
standard deviation
interquartile range
The statistics you could find given the information above (see attachment) include the following:
range.standard deviation.interquartile range.What is a box and whisker plot?A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.
In Mathematics, the five-number summary of any box and whisker plot include the following:
MinimumFirst quartileMedianThird quartileMaximumFor the range, we have:
Range for women = 150 - 0 = $150
Range for men = 35 - 0 = $35
For the standard deviation, we have:
Standard deviation for women = range/4
Standard deviation for women = 150/4 = 37.5
Standard deviation for men = range/4
Standard deviation for men = 35/4 = 8.75.
For the interquartile range, we have:
Interquartile range = third quartile - first quartile.
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At Lakeville South High School, 60% of students have high-speed internet access, 30% have a mobile computing device, and 20% have both. The proportion of students that have neither high-speed internet access nor a mobile computing device is:
A. 0%
B. 10%
C. 30%
D. 80%
E. 90%
Note: the answer is 30% but I can't for the life of me figure out why
That have neither high-speed internet access nor a mobile computing device is 30%.
What is Venn diagram?Venn diagrams are utilized in various fields including business, measurements, semantics, and so forth. Venn charts can be utilized to outwardly coordinate data to see the connection between sets of things, like shared characteristics and contrasts, and to portray the relations for visual correspondence.
According to question:In school, 60% of students have high-speed internet access, 30% have a mobile computing device, and 20% have both.
Venn diagram for the situation
Thus remaining 30% students hat have neither high-speed internet access nor a mobile computing device.
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You have 80$ to spend on clothes jeans cost 34$ and t shirts cost 9$ without any added tax how many pairs of jeans can I purchase if I buy 1 t shirt
Answer:
2 pairs of jeans
Step-by-step explanation:
1) Subtract the cost of the t-shirt
As we are given the information that she will only be buying one t-shirt it
means that we can get rid of the price of it...
$80-$9 = $72
2) Find the number of jeans
Knowing that we have $72 left we have figure out how many jeans she
can buy by dividing 72 by 34...
$72 ÷ $34 = 2
Hope this helps, have a great day!
Suppose that the amount in grams of a radioactive substance present at time t (in years) is given by A(t) = 800e -0.86t. Find the rate of change of the quantity present at the time when t = 5. O 9.3 grams per year 0 -72.7 grams per year 0-9.3 grams per year O 72.7 grams per year
Let's begin by listing out the information given to us:
[tex]\begin{gathered} A\mleft(t\mright)=800e^{-0.86t} \\ \Delta A(t)=-0.86\cdot800e^{-0.86t} \\ \Delta A(5)=-0.86\cdot800e^{-0.86\mleft(5\mright)} \\ A(5)=-9.34 \\ A(5)=-9.3g\text{ / year} \end{gathered}[/tex]Hence, the correct option is the third option -9.3 grams per year
FOR BRAIBLIEST AND 50 POINTS! I NEED THIS ASAP!
Directions: Graph these in one cartesian plane(clue: it would form a triangle)
The solution is the area between the three lines, a triangle with vertices marked (see attached).
Can you help me I can’t understand this question
Answer:
the graph given has a greater unit rate
Step-by-step explanation:
basically, you have to compare the gradients of both the graphs
one graph's equation is given i.e y=47/2 where 47/2 is the gradient/slope now find the gradient/slope of the given graph:
slope = x2-x1/y2-y1
chose any two coordinates on the graph and input them in the equation
I chose (2,94) and (4,188)
inputting them in the equation:
188-94/4-2
=94/2
now see which one is greater 47/2 or 94/2
94/2 is greater than 47/2 so it has a greater unit rate
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Also let A = {1, 3, 5, 7, 9} and B = {2, 4, 5, 6, 7}.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
A = {1, 3, 5, 7, 9}
B = {2, 4, 5, 6, 7}.
A = {1, 3, 5, 7, 9}
B' = {1,3,8,9,10}
A U B' = {1,3,5,7,8,9,10}
Answer:
A U B' = {1,3,5,7,8,9,10}
A ____________________ is a protective barrier that surrounds only plant cells, providing structural support.
Mitochondria
Chloroplast
Cell wall
Nucleus
A Cell wall is a protective barrier that surrounds only plant cells, providing structural support.
A cell wall, a large central vacuole, and plastids like chloroplasts are all present in plant cells. The cell wall is a thick, stiff layer that surrounds and supports the cell structurally and physically. It is located outside the cell membrane.
What is cell wall?the dense, nonliving covering that protects and sustains the majority of plant, bacterial, fungal, and algal cells. cellular wall.
The cell membrane is a layer of defense that covers the surface of the cell and serves as a partition between the interior of a cell and its surroundings. The cell membrane also regulates the materials that enter and exit the cell.
A cell is protected by its cell membrane, also known as the plasma membrane. Additionally, it maintains a constant environment inside the cell, and that membrane serves a variety of purposes. One is to move compounds out of the cell that are harmful as well as nutrients into the cell.
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HELP PLEASE! Solve and show work.
4x + 6 < -6
Answer:
Step-by-step explanation:
1. 4x+6<-6
2. 4x<-6-6
3. 4x<-12
4. x<-12/4
5. x<-3
6. The answer is x < -3.
6x2 - 24x + 18 = 0
Answer please
Answer:
The answer is -1 or -3
Step-by-step explanation:
You woud use the quadritic formula
[tex]x=\frac{ -b+- \sqrt{b^{2} -4ac} \\}{2a}[/tex]
[tex]x=\frac{-24 +- \sqrt{576-432} }{12} \\[/tex]
[tex]x=\frac{-24+- \sqrt{144} }{12}[/tex]
[tex]x=\frac{-24+12}{12}\\\\x=\frac{-12}{12} \\x = -1[/tex]
or
[tex]x=\frac{-24-12}{12} \\\\x= \frac{-36}{12} \\\\x= -3[/tex]
To get the answer of -1 or -3
Find the area and perimeter of the rectangle based on information given Length = 5 Width = x + 2
Given the length and the expression that represents the width of a rectangle, you need to remember that:
• The area of a rectangle can be calculated by multiplying its dimensions:
[tex]A=lw[/tex]Where "l" is the length and "w" is the width.
• The perimeter of a rectangle is:
[tex]P=2l+2w[/tex]Where "l" is the length and "w" is the width.
Then, knowing that:
[tex]\begin{gathered} l=5 \\ w=x+2 \end{gathered}[/tex]- You can set up that the area of this rectangle is:
[tex]A=5(x+2)[/tex]Simplifying, you get:
[tex]\begin{gathered} A=(5)(x)+(5)(2) \\ A=5x+10 \end{gathered}[/tex]- And the perimeter is:
[tex]\begin{gathered} P=(2)(5)+(2)(x+2) \\ P=10+2x+4 \\ P=2x+14 \end{gathered}[/tex]Hence, the answer is:
- The area is:
[tex]A=5x+10[/tex]- The perimeter is:
[tex]P=2x+14[/tex]equation represents the distancetraveled against the wind?ProblemAt full speed, Hal travels 600 miles in 2 hourswith the wind. The same distance againstthe wind takes 3 hours.What's the maximum speed of Hal's airplanein still air? What's the speed of the wind?Click on the correct answer.3(x - y) = 6003(x + y) = 600x-speed of the airplane in still airy speed of the wind2(x - y) = 6002(x + y) = 60080888Ma
Take into account:
x = speed of the airplane
y = speed of the air
consider that the product in between time and speed is equal to the distance traveled in the time.
Then, if the airplane took 3 hours complete 600 miles, agaist the wind, you have that the distance traveled by the airplane is 3x without wind. The speed of the wind decelerates the airplane. The "distance traveled by the wind is 3y"
Then, when you subtract the previous terms you obtain:
3x - 3y = 600 factorize 3 left side
3(x - y) = 600
how much is -5x+2=52
Find x
-5x+2=52
_______________
-5x + 2 = 52
subtracting 2
-5x + 2 -2 = 52 -2
-5x + 0 = 50
-5x = 50
Dividing by -5
-5/ -5 x = 50/ -5
1x= -10
x= -10
__________________
Answer
x= -10
Find the value of x.
Answer:19
Step-by-step explanation:
Answer:
[tex]x=\sqrt{\frac{9}{2}}[/tex]
Step-by-step explanation:
[tex]a^2+b^2=c^2\\x^2+x^2=3^2\\2x^2=9\\x^2=\frac{9}{2} \\x=\sqrt{\frac{9}{2} }[/tex]