The number of rides that one would expect to be less than `6.5` minutes long is 4 rides.
How to determine the number of ridesTo determine the number of rides, we will first begin by classifying the quartiles. There are 4 quartiles that each constitute 25% of the ride timing.
The number of rides that one would expect to be less than 6.5 minutes can be gotten by finding 25% of 16, the total days recorded. This is 1/4 * 16 = 4. So, the number of rides that will be less than 6.5 minutes will be 4 rides.
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Can someone please answer and provide an explanation for these?
The measure of the indicated angles using available arc angles which subtends angles at the circumference are:
(5). ? = 103, (6). ? = 80°, (7). ? = 32°, and (8). ? = 110°
What is angle subtended by an arc at the centerThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
So;
(5). m∠JBL + 92° = 180° {sum of opposite interior angles of a cyclic quadrilateral}
m∠JBL = 88°
arc angle (JK + LK) = 2(88)
arc angle JK = 176 - 70 = 106°
arc angle (JK + JB) = 2(?)
? = (106 + 100)/2
? = 103
(6). arc angle QR = 360° - are. QSR
arc angle QR = 360 - (80 + 120) = 160°
arc angle QR = 2(?)
? = 160/2
? = 80°
(7). arc angle GH = 2(m∠GFH)
m∠GFH = 116/2
m∠GFH = 58
m∠FGH = 90° {angle in a semi circle is a right angle}
? = 180 - (58 + 90)
? = 32°
(8). arc angle DCF = 360 - arc angle DEF
arc DCF = 360 - (68 + 72)
arc DCF = 220
arc DCF = 2(?)
? = 220/2
? = 110°
Therefore, the measure of the indicated angles using available arc angles which subtends angles at the circumference are: (5). ? = 103, (6). ? = 80°, (7). ? = 32°, and (8). ? = 110°
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Describe the location of point (−7, 6, −4) in three-dimensional coordinate space.
The description of the location of the point, (−7, 6, −4) in three-dimensional coordinate space is this: A. From the origin, move 7 units back, 6 units right, and 4 units down.
What is a three-dimensional coordinate space?The meaning of a three-dimensional coordinate space is a requirement for three units to come together to form a point. In the location of the point above, we are given three units namely, -7, 6, and -4.
The indication of signs in front of them are as follows; -7, means moving 7 units back, 6 means moving 6 units right, ad -4 means moving 4 units down.
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Please help me answer this question
For the function [tex]A(t)=4000e^0^.^0^4^t[/tex] the value of A'(8) is $220 and the value of [tex]A'(t)=160e^0^.^0^4^t[/tex]
The given function is [tex]A(t)=4000e^0^.^0^4^t[/tex] gives the balance after t years.
The initial investment is 8000
4% is the compounded interest.
Now differentiate with respect to t
[tex]A'(t)=0.04(4000)e^0^.^0^4^t[/tex]
[tex]A'(t)=160e^0^.^0^4^t[/tex]
Now let us find the value of A'(8)
Plug in t as 8
[tex]A'(8)=160e^0^.^0^4^(^8^)[/tex]
A'(8)=220.3
Hence, the value of A'(8) is $220 and the value of [tex]A'(t)=160e^0^.^0^4^t[/tex]
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What is the x of 4(40)-10
SOMEONE HELP 45 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!!! PLEASE
RIGHT ANSWER ONLY
If f(x) = 2x + 1 and g(x) = x − 2, find the quantity f divided by g of 7.
3
10
15
75
Answer:
3
Step-by-step explanation:
Step 1: First, we must plug in 7 for x in f(x) and g(x):
f(7) = 2(7) + 1
f(7) = 14 + 1
f(7) = 15
g(7) = 7-2
g(7) = 5
Now, we can divide f(7) by g(7)
f(7) / g(7) = 15 / 5
f(7) / g(7) = 3
Thus, the quantity of f divided by g of 7 is 3
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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Elon sent a chain letter to his friends, asking them to forward the letter to more friends.
The relationship between the elapsed time,
�
tt, in days, since Elon sent the email, and the total number of people who receive the email,
�
(
�
)
P(t)P, left parenthesis, t, right parenthesis, is modeled by the following function:
P(t)=4⋅3t
Complete the following sentence about the daily rate of change in the number of people who receive the email.
Every day, the number of people who receive the email
by a factor of
.
Every day, the number of people who receive the email grows by a factor of 3.
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
[tex]f(x) = a(b)^x[/tex]
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.Based on the information provided above, an exponential function for the total number of people who received the email is given by;
[tex]P(t) = 4(3)^t[/tex]
By comparison, we have the following parameters;
Initial value, a = 4.
Growth rate, b = 3.
In conclusion, the number of people who receive the email from Elon every day grow by a factor of 3.
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Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 8 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
The likely population of the infected elk in the wildlife preserve is 840.
What is the likely population of the infected elk?A sample is a smaller group of the population. A sample is a representation of the population.
The fraction of infected elks in the sample to the total sample would be the same of the infected elks in the population to the total population of the elks.
Population of the infected elk = (infected elks in the sample / total sample) x number of elks in the preserve
(8/50) x 5250
= 0.16 x 5250 = 840
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Reflections of Shapes
Graph the image of the figure using the transforma
1) reflection across the x-axis
A graph of the image of the figure after a reflection across the x-axis is shown below.
What is a reflection over the x-axis?In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).
This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.
By applying a reflection over or across the x-axis to triangle GLQ, we have;
(x, y) → (x, -y)
G (3, 4) → (3, -(4)) = G' (3, -4)
L (1, 2) → (1, -(2)) = L' (1, -2).
Q (4, -1) → (4, -(-1)) = Q' (4, 1)
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each sine or cosine value to its equivalent measure
The equivalent sine and cosine values are as follows:
cos(74°) = sin(16°)cos(57°) = sin(33°)sin(32°) = cos(58°)sin(43°) = cos(47°)What is the relationship between sine and cosine angles?The relationship between sine and cosine angles is:
sinθ = cos(90 - θ)
This equation is known as the complementary angle identity for sine and cosine. It states that the sine of an angle is equal to the cosine of its complementary angle (90 degrees minus the original angle).
For example, if we have an angle theta = 30 degrees, its complementary angle would be 90 - 30 = 60 degrees.
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The figure below shows a triangle with vertices, a and B on a circle and vertex c outside it. Side ac is tangent to the circle. Side bc is a secant intersecting the circle at point x. What is the measure of angle acb?
1.32
2.60
3.28
4.16
The measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.
The measure of angle ACB can be determined using the properties of tangents and secants intersecting a circle.
Since side AC is tangent to the circle, angle BAC is a right angle (90 degrees).
According to the tangent-secant theorem, the measure of angle ACB is equal to half the difference between the intercepted arcs AB and AX.
Since angle BAC is a right angle, the intercepted arc AX is a semicircle, which means its measure is 180 degrees. The intercepted arc AB is an arc of the circle and is less than 180 degrees since it is not a full circle.
Therefore, the measure of angle ACB is half the difference between 180 degrees and the measure of arc AB.
To find the exact measure, more information is needed about the length of arc AB or the relationship between the lengths of the sides of the triangle. Without this additional information, we cannot determine the precise measure of angle ACB.
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help me pleaseeeeeeeeeeeeeeee
Determine which set of sides measurements could be used of form a right triangle 14,5,15 3,4,5 9,14,16 5,2,7
Answer: 14,5,15 is correct
Step-by-step explanation:
A student scored 80% on a test. If the test had 50 questions worth one point each, how many questions did the student answer correctly?
Answer:
40
Step-by-step explanation:
All questions are worth the same, 1 point each.
80% of 50 = 0.8 × 50 = 40
Answer: 40
Answer:
40
Step-by-step explanation:
80/100*50 = 40
what is the vertical distance betweenj (2, 11/3) and (2, -4/3)
The vertical distance between the two points given are (2, 11/3) and (2, -4/3) is 5 units.
The two points given are (2, 11/3) and (2, -4/3). These points have the same x-coordinate of 2, which means they lie on a vertical line. The vertical distance between the two points is simply the difference between their y-coordinates.
So, the vertical distance between the two points is:
11/3 - (-4/3) = 15/3 = 5
This means that if we were to draw a line segment connecting the two points, the length of the segment would be 5 units, and the segment would be parallel to the y-axis.
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Ms. Edwards is redecorating her office. She has a choice of 8 colors of paint, 5 kinds of curtains, and 6 colors of carpet. How many different ways are there to redecorate?
240 ways
297 ways
357 ways
19 ways
Answer:
To determine the total number of different ways Ms. Edwards can redecorate her office, we need to multiply the number of choices for each item:
Number of paint color choices = 8
Number of curtain choices = 5
Number of carpet color choices = 6
To calculate the total number of ways, we multiply these choices together:
Total number of ways = Number of paint color choices × Number of curtain choices × Number of carpet color choices
= 8 × 5 × 6
= 240
Therefore, there are 240 different ways for Ms. Edwards to redecorate her office. So, the answer is 240 ways.
Please urgent help I can’t figure this out thank you guys for always helping
Answer:
Domain: {-24, -12, -8, 9, 14, 50}
Range: {23, 69, 83, 92, 97, 32}
Step-by-step explanation:
The domain of a function is the set of all possible input values (usually x) for which the function is defined. The range of a function is the set of all possible output values (usually y, which is synonymous with f(x)) that the function can produce.For a function like f(x), each coordinate is in the form (x, f(x)) aka (x, y)
Since our x-coordinates are -24, -12, -8, 9, 14, and 50, the domain of f(x) is {-24, -12, -8, 9, 14, 50}
Since our f(x) or y-coordinates are 23, 69, 83, 92, 97, and 32, the range is {23, 69, 83, 92, 97, 32}
Explain what is meant by a positive relationship between two variables and a negative relationship between two variables. Give an example of a situation in which you would expect to find a positive relationship and when you would expect to find a negative relationship.
Answer: A positive relationship between two variables means that as the value of one variable increases, the value of the other variable also increases. In other words, there is a direct association or correlation between the two variables. Graphically, a positive relationship is represented by an upward-sloping line or curve.
For example, let's consider the relationship between studying time and exam scores. In general, if a student spends more time studying for an exam, their exam score is likely to increase. This implies a positive relationship between studying time and exam scores.
On the other hand, a negative relationship between two variables means that as the value of one variable increases, the value of the other variable decreases. In this case, there is an inverse association or correlation between the two variables. Graphically, a negative relationship is represented by a downward-sloping line or curve.
For instance, let's consider the relationship between hours of sleep and levels of fatigue. As the number of hours of sleep decreases, the level of fatigue tends to increase. This indicates a negative relationship between hours of sleep and levels of fatigue.
It's important to note that these examples describe typical scenarios, but individual variations and other factors can also influence the relationships between variables.
Please help I don’t understand thank you have a blessed day
By evaluation, the values of the rational function are f(11) = - 1 / 12 and f(- 2) = 1, respectively.
How to evaluate a rational function
In this problem we find the case of a rational function that must be evaluated at two different x-values: x = 11, x = - 2. The procedure is summarized below:
Write the entire expression.Substitute on x with the given value.Simplify the expression by algebra properties.Now we proceed to present the complete procedure:
f(11) = 11 / (11 + 1) - 1
f(11) = 11 / 12 - 1
f(11) = 11 / 12 - 12 / 12
f(11) = (11 - 12) / 12
f(11) = - 1 / 12
f(- 2) = (- 2) / (- 2 + 1) - 1
f(- 2) = - 2 / (- 1) - 1
f(- 2) = 2 - 1
f(- 2) = 1
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find the numerical value of the log expression
Answer:
Step-by-step explanation:
The numerical value of the given log expression is -73.
From definitions of logarithms, we know that :
[tex]log(a*b) = log(a) + log(b)\\log(a / b) = log(a) - log(b)[/tex]
[tex]log(a^n) = n*log(a)[/tex]
Therefore,
[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = \frac{4}{3}*log(b) - 8*log(a) - 5*log(c)[/tex]
substituting the given values
[tex]log(a) = 10\\log(b) = 9\\log(c) = 1\\[/tex]
we get the value of the given expression
[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = \frac{4}{3}*9 - 8*10 - 5*1[/tex]
[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = 12 - 80 - 5[/tex]
[tex]log(\frac{\sqrt[3]{b^4}}{a^8c^5 }) = -73[/tex]
Therefore the numerical value of the given log expression is -73.
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The graph shows the distribution of the amount of chicken (in ounces) that adults eat in one sitting. The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
A graph titled Chicken Consumption has amount (ounces) on the x-axis, going from 3.2 to 12.8 in increments of 1.2. The highest point of the curve is at 8.
What percentage of adults eat between 5.6 and 8 ounces of chicken in one sitting?
2.5%
34%
47.5%
95%
Using concepts of the normal and of the uniform distribution, it is found that the correct option is:
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
In an uniform distribution, all outcomes are equally as likely, thus they have the same height.
In the normal distribution,
The outcomes with the highest likelihood are those closest to the mean, thus they have the highest height.
This means that the mean of this distribution is 8.
The standard deviation cannot be a negative value,
So in this problem, it is 1.2,
Which means that the correct option is:
The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.
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The other day, I was taking care of two girls whose parents are mathematicians. The
girls are both whizzes at math. When I asked their ages, one girl replied,
our ages is 18.= The other stated, The difference of our ages is 4.= What is the
product of the girls’ ages?
Answer:
hey it is
Step-by-step explanation:
22 × 18 or 12 into 18
Convert the polar representation of this complex number into its standard form. A 4-451 B. -43-4/ C. -8√5 +8/ D. 4-4√3 i
The complex number in standard form is written as:
Z = 1.99 + i*0.201, so the correct option is a
How to write the complex number in standard form?Remember that a complex number can be written in standard form as:
Z = a + b*i
And in polar form the notation is (R, θ):
[tex]Z = R*e^{i*\theta} = R*cos(\theta) + i*R*sin(\theta)[/tex]
Here we have the complex number:
Z = 2(cos(11pi/6) + i*sin(11pi/6))?
So here we just need to solve these expressions, we will get:
Z = 2*(0.995 + i*0.100)
Z = 1.99 + i*0.201
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Complete question:
"Convert the polar representation of this complex number into its standard form: z = 2(cos 11pi/6+ i sin 11pi/6)? "
Franklin Lyons is married and claims 3 withholding allowances. He gets paid overtime if he works over 40 hours in a week. His gross pay is $958.38. Find the Federal Withholding Tax.
Based on the assumptions, the estimated Federal Withholding Tax for Franklin Lyons would be approximately $191.68.
Determine Franklin's taxable income:
To calculate the taxable income, we need to subtract any deductions or exemptions from his gross pay. We'll consider his gross pay as the taxable income.
Taxable Income = Gross Pay = $958.38
Estimate the Federal Withholding Tax rate:
The Federal Withholding Tax rate depends on the taxable income and the individual's filing status. Let's assume a general tax rate of 20% for this estimation.
Federal Withholding Tax rate = 20%
Calculate the Federal Withholding Tax:
To find the withholding tax, multiply the taxable income by the tax rate:
Federal Withholding Tax = Taxable Income * Federal Withholding Tax rate
= $958.38 * 0.20
= $191.68
Thus, the answer is $191.68.
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Can someone answer this question
Answer:
The correct answer is (d): (x - 5) is a factor of f(x).
Step-by-step explanation:
What is 50% of half of 10?
Answer:
2.5
Step-by-step explanation:
half of 10 is 10/2 = 5
so 50% of 5 is 2.5
make a table for each equation using the following numbers as : x -2,-1,0,1
y=3x-2
The equation y = 3x - 2. can be placed in table as shown below. For example, when x = -2, y = 3(-2) - 2 = -8. Similarly, when x = -1, y = 3(-1) - 2 = -5, and so on.
In this table, each row represents a pair of values (x, y) that satisfy the equation y = 3x - 2. For example, when x is -2, y is calculated as 3(-2) - 2 = -8. Similarly, for the other values of x, the corresponding values of y are calculated accordingly.
Here's a table showing the values of x and the corresponding values of y for the equation y = 3x - 2:
x y
-2 -8
-1 -5
0 -2
1 1
To fill in the table, substitute each value of x into the equation and calculate the corresponding value of y. For example, when x = -2, y = 3(-2) - 2 = -8. Similarly, when x = -1, y = 3(-1) - 2 = -5, and so on.
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Mr. Jonus ordered a pizza to take home. His children ate 4/8 of the pizza and
Mr. Jonus ate 2/8 of the pizza. The remaining pizza was saved for later. Which
equation could be used to represent the whole pizza?
The equation that could be used to represent the whole pizza is 4/8 + 2/8 = 6/8 = 3/4.
We are given that;
Pizza ate by children= 4/8
Pizza ate by Jonus= 2/8
Now,
4/8 + 2/8 + x = 1
where x is the fraction of the pizza that was saved for later. This equation shows that the sum of the fractions of the pizza that were eaten and saved is equal to 1, which represents the whole pizza. To solve for x, we can simplify the fractions and subtract them from both sides:
4/8 + 2/8 = 6/8 = 3/4
3/4 + x = 1
x = 1 - 3/4
x = 1/4
Therefore, the equation will be 4/8 + 2/8 = 6/8 = 3/4
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................................................
Answer:
4,12,36,108,324.....
Step-by-step explanation:
The sequence represented by the equation [tex]a=4(3)^{n-1}[/tex]is a geometric sequence with first term 5 and common ratio 3. The first 4 terms of the sequence are:
[tex]a_1 = 4(3)^{1-1} =4(3)^0 = 4[/tex]
[tex]a_2 =4(3)^{2-1} = 4(3)^1 = 12[/tex]
[tex]a_3 =4(3)^{3-1} = 4(3)^2 = 36[/tex]
[tex]a_4 = 4(3)^{4-1} =4(3)^3 = 108[/tex]
[tex]a_5=4(3)^{5-1} =4(3)^4=324[/tex]
The sequence can be written as:
[tex]a_n = 4(3)^{n-1}[/tex]
where n is the term number.
Therefore, the sequence is 4,12,36,108,324.....
Answer:
The answer is 4,12,36,108,324
Step-by-step Explanation:
a1=4(3)¹‐¹=4(3)⁰=4
a2=4(3)²‐¹=4×3=12
a3=4(3)³‐¹=4(3)²=4×9=36
a4=4(3)⁴‐¹=4(3)³=4×27=108
a5=4(3)⁵‐¹=4(3)⁴=4×81=324
(X-7)(x-7) multiply the binomials
The product of given two binomials which are (x-7)(x-7) is equal to x² - 14x + 49.
To multiply the binomials (x-7)(x-7), we use the distributive property of multiplication, which states that:
(a + b)(c + d) = ac + ad + bc + bd
Using this property, we can expand the expression as follows:
(x-7)(x-7) = x(x-7) - 7(x-7)
= x² - 7x - 7x + 49
= x² - 14x + 49
The distributive property of multiplication is a mathematical rule that states that when a number is multiplied by the sum of two or more numbers, it is equivalent to multiplying the number by each of the addends and then adding the products.
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