Hey zebra can run at a constant speed of 0.6Miles per minute how far can a zebra run in 30 minutes
Answers
Answer:
18 miles
Step-by-step explanation:
given that the constant speed = 0.6 mi/min and time = 30 mins
recall that:
distance = speed x time
= 0.6 x 30
= 18 mi
Related Questions
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
a. bus
b. car
c. subway
d. train
Answers
Answer: C
Step-by-step explanation:
For box and whiskers plot the box is where the majority of the data is. the whiskers(the lines on both sides will tell you where the range of numbers lie)
The middle line in the box is the median number.
The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)
You want the majority of the data to be less than 30, which is subway. C
Determine the equation of the circle with radius 9 and center ( − 1 , − 8 ).
Answers
The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8 )² = 81.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
( x - h )² + ( y - k )² = r²
Given that the circle has a center of (-1, -8) and the radius is 9.
Hence; from the standard form of the equation of the circle:
Center ( h , k ) = ( -1, -8 )
h = -1
k = -8
And radius r = 9
Plug these values into the above formula and simplify.
( x - h )² + ( y - k )² = r²
( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²
Simplify
( x + 1 )² + ( y + 8 )² = 81
Therefore, the equation of the circle is ( x + 1 )² + ( y + 8 )² = 81.
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Tanner-UNF Corporation acquired as a long-term investment $200 million of 6.0% bonds, dated July 1, on July 1, 2024. Company management has the positive intent and ability to hold the bonds until maturity. The market interest rate (yield) was 8% for bonds of similar risk and maturity. Tanner-UNF paid $170.0 million for the bonds. The company will receive interest semiannually on June 30 and December 31. As a result of changing market conditions, the fair value of the bonds at December 31, 2024, was $180.0 million
Answers
Carrying value on June 30, 2024 is $176 million, total Interest revenue is $12.44 million
To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.
The carrying value is the purchase price plus the accrued interest, which is calculated as follows:
Accrued interest = Face value x Coupon rate x Time
where Time = 6/12 = 0.5 (since interest is paid semiannually)
Accrued interest = $200 million x 6% x 0.5 = $6 million
Carrying value on June 30, 2024 = Purchase price + Accrued interest
= $170 million + $6 million
= $176 million
The interest revenue for the first six months is calculated as follows:
Interest revenue = Carrying value x Market rate x Time
= $176 million x 8% x 0.5
= $7.04 million
For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.
The interest revenue for the second six months is calculated as follows:
Interest revenue = Carrying value x Coupon rate x Time
= $180 million x 6% x 0.5
= $5.4 million
Total interest revenue = Interest revenue for first six months + Interest revenue for second six months
= $7.04 million + $5.4 million
= $12.44 million
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Classify the real numbers as rational or irritational numbers
Answers
Answer:
god loves you <3 .
Step-by-step explanation:
Which transformation results in the function?
Answers
The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,
How to describe the transformation from the parent function?From the question, we have the following functions that can be used in our computation:
f(x) = x²
g(x) = (4x)²
Mathematically, these equations can be represented as
g(x) = f(4x)
The above equations implies that, we have the transformation to be:
The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4
Hence, the transformed function is (a)
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Joyce saved $220 on an item that was 75% off what was the original price
Answers
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Answers
The correct option are - A. x² + (y – 3)² = 36 and E. x² + (y + 8)² = 36 , for the equation of circle.
Explain about the equation of circle:The standard form equation for just a circle, which is (x - s)² + (y - t)² = r², is used to formulate our equation if we assume a generic centre point like (s,t)and r is the radius of circle.
By simply expanding basic binomial squares in their regular form and merging like words, circles can likewise be presented in expanded form.
Now for the given data:
Diameter of circle = 12 unitsRadius r = 12/2 = 6 unitscentre lies on the y axis, (s,t) = (0,t)Put the values in the standard form of the circle:
(x - s)² + (y - t)² = r²,
(x - 0)² + (y - t)² = 6²,
x² + (y - t)² = 36
Where 't' can be any integer.
Thus, the options that satisfy the stated conditions are-
A. x² + (y – 3)² = 36 : here t = 3
and E. x² + (y + 8)² = 36 ; here t = - 8.
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Correct question:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis?
Select two options.
A. x² + (y – 3)² = 36
B. x² + (y – 5)² = 6
C. (x – 4)² + y² = 36
D. (x + 6)² + y² = 144
E. x² + (y + 8)² = 36
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Answers
What is the solution to the equation -x^3-4=0.5x^2+x+4
Answers
Answer:
x = −2
Step-by-step explanation:
the steps are super long but this is the answer
Can you help me please?
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
Answers
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
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A max subscription for Twitch, a streaming service, costs a flat fee of $25. You can then also buy small subscriptions for others for $5 per subscription. Johnny is trying to budget the amount of money he wants to spend.
Let y represent the total amount of money spent, and x represent the number of small subscriptions he purchases.
Answers
Answer:
y = 25 + 5x
Step-by-step explanation:
Since the cost of Twitch is $25 no matter what, that will be our y-intercept (essentially when no other subscriptions are bought). Since with every purchase x we make, we spend an additional $5, the slope of the line (x coefficient) will be 5.
Evaluate the expression: 12 x (3+2)² ÷ 2 -10
Answers
Answer:
140
Step-by-step explanation:
Here, we use BODMAS
12 x (3+2)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 × 25 ÷ 2 - 10
12 × 12.5 - 10
150 - 10 = 140
Thus, The answer is 140
-TheUnknownScientist
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
Answers
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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Determine if each pair of triangles is similar. If they are similar, state why. (AA, SAS, SSS, or not similar)
Answers
As the trianlges are SAS congurant the side NK = 1.8.
What is congruent by ASA?
The Angle-Side-Angle congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below. According to the ASA congruence rule, two triangles are said to be congruent if two of their respective sides and angles are equal to those of two other triangles and their respective sides and angles, respectively.
∠LJK=∠LMN
LM =4
MJ=2
LN=3.6
So, As the trianlges are SAS congurant the side NK = 1.8.
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limit using L'Hopital's rule . I just want to make sure if my answer is correct or not?
Answers
In order to use L'Hopital's rule, it is necessary to rewrite the limit as the quotient of two functions. Notice that:
\(\begin{gathered} 6x^{\sin (4x)}=e^{\ln (6x^{\sin (ex)})^{}} \\ =e^{\sin (4x)\cdot\ln (6x)} \end{gathered}\)Since the exponential function is a continuous function, then:
\(\lim _{\text{x}\rightarrow0}e^{\sin (4x)\cdot\ln (6x)}=e^{\lim _{x\rightarrow0}\sin (4x)\cdot\ln (6x)}\)Find the following limit using L'Hopital's rule:
\(\lim _{x\rightarrow0}\sin (4x)\cdot\ln (6x)\)Write the function as a fraction:
\(\lim _{x\rightarrow0}\frac{\ln (6x)}{(\frac{1}{\sin (4x)})}\)Use L'Hopital's rule to rewrite the limit as the limit of the quotient of the derivatives:
\(\begin{gathered} \lim _{x\rightarrow0}\frac{(\frac{1}{x})}{(-\frac{4\cos(4x)}{\sin^2(4x)})}=\lim _{x\rightarrow0}-\frac{\sin ^2(4x)}{4x\cdot\cos (4x)} \\ =\lim _{x\rightarrow0}\sin (4x)\cdot\frac{\sin(4x)}{4x}\cdot\frac{-1}{\cos (4x)} \\ =\lim _{x\rightarrow0}\sin (4x)\cdot\lim _{x\rightarrow0}\frac{\sin(4x)}{4x}\cdot\lim _{x\rightarrow0}\frac{-1}{\cos (4x)} \\ =0\cdot1\cdot-1 \\ =0 \end{gathered}\)Therefore:
\(\lim _{x\rightarrow0}6x^{\sin (4x)}=e^0=1\)I need help with this geometry question
Answers
JK=16
MK=46
NL=15
Select the correct answer. Four figures. Figure 1 shows a right triangle A C B with a line D E parallel to base B C. Figures 2, 3, and 4 shows a triangle A B C with a line D E parallel to base B C. In which figure is ? A. figure 1 B. figure 2 C. figure 3 D. figure 4
Answers
Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2
Step-by-step explanation:
Answer: Figure 4
Step-by-step explanation:
I got it right on Edmentum
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
Answers
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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The number 2/5 is both an blank and an blank
Answers
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
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What is 27^2/3 simplified
Answers
Answer:
3^3
Step-by-step explanation:
[27]^2/3 can also be written as,
[(3)^3]^2/3
Now we know that a^m * a^n = a^m+n, therfore,
[3]^ 3*2/3
Cut 3 and 3
Therefore, you get 3^3
Let me know if you understood. If you didnt I can try to explain it to you in another way.
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You are participating in a fund-raiser in which you run for donations. People can donate money based on a flat fee or based on the number of miles you run. So far, you have two donors. Your grandma has agreed to donate $25 and your mom has agreed to donate $2.10 per mile. If together they donated $43.90, what equation represents this situation?
Answers
Answer:
$2.10(x) + $25= $43.90
Step-by-step explanation:
$2.10 times x, plus $25
$2.10(x) + $25= $43.90
Please help me with this math problem I am lost
Answers
Answer:
x-intercept: (-1.5, 0)
y-intercept: (0, 2)
Step-by-step explanation:
The x-intercept of an equation is asking for the x value when y is 0.
The y-intercept of an equation is asking for the y value when x is 0.
So,
To find x-intercept, set y equal to 0 and solve for x
To find y-intercept, set x equal to 0 and solve for y
If all else fails, graph the equation and trace the graph to find the xy-intercepts.
Answer:
see below
Step-by-step explanation:
-4x+3y = 6
Let x = 0 to find the y intercept
3y = 6
Divide by 3
y = 6/3 =2
The y intercept is (0,2)
Let y = 0 to find the x intercept
-4x = 6
Divide by -4
x = 6/-4 = -3/2
The y intercept is (-3/2,0)
(1 point) Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y" 4y sec(2z). a. Find the most general solution to the associated homogeneous differential equation. Use c and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2 help (formulas) b. Find a particular solution to the nonhomogeneous differential equation y" +4y sec(2). help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use ci and c2 in your answer to denote arbitrary constants. y- help (formulas)
Answers
The solution of y" + 4y sec(2z) by variation of parameters involves finding the homogeneous solution and integrating to find particular solutions.
a. The associated homogeneous differential equation is y'' + 4y = 0. The characteristic equation is r^2 + 4 = 0, which has roots r = ±2i. Thus, the general solution to the associated homogeneous equation is y_h = c1 cos(2z) + c2 sin(2z).
b. To find a particular solution to the nonhomogeneous equation, we assume a solution of the form y_p = u1(z) cos(2z) + u2(z) sin(2z), where u1(z) and u2(z) are unknown functions to be determined. Taking the first and second derivatives of y_p, we have:
y_p' = u1' cos(2z) + u2' sin(2z) - 2u1 sin(2z) + 2u2 cos(2z)
y_p'' = u1'' cos(2z) + u2'' sin(2z) - 4u1 sin(2z) - 4u2 cos(2z) - 4u1' sin(2z) + 4u2' cos(2z)
Substituting these expressions into the nonhomogeneous differential equation, we have:
u1'' cos(2z) + u2'' sin(2z) - 4u1 sin(2z) - 4u2 cos(2z) - 4u1' sin(2z) + 4u2' cos(2z) + 4u1 sec(2z) cos(2z) + 4u2 sec(2z) sin(2z) = 0
Equating the coefficients of cos(2z) and sin(2z), we get the following system of equations:
u1'' - 4u2' + 4u1 sec(2z) = 0
u2'' + 4u1' + 4u2 sec(2z) = 0
To solve for u1(z) and u2(z), we integrate each equation twice. The first equation gives:
u1' - 2u2 tan(2z) + 2u1 sec(2z) tan(2z) = C1
where C1 is an arbitrary constant of integration. Integrating once more, we have:
u1 = C1 integral of sec(2z) dz + C2
where C2 is another arbitrary constant of integration. Using the identity sec(2z) = 1/cos(2z), we can evaluate the integral to get:
u1 = C1/2 ln|cos(2z)| + C2
Similarly, the second equation gives:
u2' + 2u1 tan(2z) + 2u2 sec(2z) tan(2z) = C3
where C3 is another arbitrary constant of integration.
Integrating once more, we have:
u2 = C3 integral of sec(2z) dz + C4
where C4 is another arbitrary constant of integration. Using the same identity as before, we get:
u2 = C3/2 ln|cos(2z)| + C4
Therefore, the particular solution to the nonhomogeneous differential equation is:
y_p = (C1/2 ln|cos(2z)| + C2) cos(2z) + (C3/2 ln|cos(2z)| + C4) sin(2z)
c. The most general solution to the original nonhomogeneous differential equation is the sum of the general solution to the associated homogeneous equation
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A sports-equipment factory produces sports balls. On Monday, they produced 1,080 balls altogether. All of the balls they produced were either volleyballs or soccer balls. They produced 7 times as many volleyballs as soccer balls. How many soccer balls did the factory produce on Monday?
Answers
Answer: 135 soccer balls
Step-by-step explanation:
In this equation, let x represent the number of soccer balls, and 7x represent the number of volley balls.
7x + x = 1,080
8x = 1,080
Now divide 1,080 by 8 to get the number of soccer balls.
1,080 / 8 = 135
In case you’re wondering how to find the number of volley balls, just multiply 135 by 7
135 * 7 = 945
Please help- question below....thank you
Answers
Which graph shows function f?
Answers
The graph of f(x) is the second one, so the correct option is B.
Which graph shows function f?Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.
You can see that the first domain of the function is:
x ≤ -4
So we must have a closed circle at x = -4, when the parabola ends.
The second domain is:
-4 < x < 1
So x here is not equal to -4 nor 1, so this part starts and ends with open circles.
finally, the linear part starts with a closed circle.
Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.
Then we can see that the correct option is the second graph.
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How many gallons does 11 liters equal?Use this conversion factor 1gal=3.79 liters.Round to the nearest tenth.
Answers
Answer:
Around 2.9 gallons is equivalent to 11 liters.
Step-by-step explanation:
Key skills needed: Conversion, Division, Equations
1) 1 gallon = 3.79 liters
2) We want to find how many gallons 1 liter is equal to ---> Use the original equation and divide by 3.79 on both sides.
You will get --> 1 liter = 1/3.79 gallons
3) To find how many gallons 11 liters is we multiply both sides by 11.
We will get 11 liters = 11/3.79 gallons ---> 11/3.79 is 2.9 when rounded to the nearest tenth.
Therefore 2.9 gallons is the answer.
Hope you understood and have a nice day!! :D
6. The tables show the monthly costs for two different Internet service providers.
What will be the difference in the cost of the two plans after 18 months?
Company A
Month, x
1
234
Total Cost ($), y
75
110
145
180
Company B
Month, x
1
2
3
4
Total Cost ($), y
60
110
160
210
Answers
Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.
What will be the cost for the two plants after 18 months?By following the sequence provided on the table, let's calculate the cost for each plant:
Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.
Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910
Now, let's calculate the difference in cost:
910 - 670 = 240
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