Answer:
45° ; 27 students
Step-by-step explanation:
What is the base of the exponential expression?
Answer:
B
Step-by-step explanation:
The base is the number the exponent is attached to.
If the sample data points are very close to the estimated regression line, then (Choose ALL the right answers.)
a. The slope will be a very big positive number.
b. It is likely to be a decreasing line.
c. The standard error is likely to be small.
d. The R square will tend to be high.
e. The line will look very ugly.
If the sample data points are very close to the estimated regression line, then standard error is likely to be small and R square will tend to be high. So, correct options are C and D.
Firstly, the slope of the regression line may not necessarily be a very big positive number. The slope of the line depends on the relationship between the independent and dependent variables, and how the dependent variable changes with a unit change in the independent variable.
If the data points are closely packed around the line, it means that the slope is more likely to be a moderate or small number.
Secondly, it is unlikely that the line will be decreasing, as the regression line is usually a straight line that shows the average relationship between the independent and dependent variables.
Thirdly, if the data points are very close to the estimated regression line, then the standard error is likely to be small. This means that the estimated regression line is a good fit for the data and the observed values are close to the predicted values.
Fourthly, the R square will tend to be high if the data points are close to the estimated regression line. R square is a measure of how well the regression line fits the data points, and if the data points are close to the line, then the R square will be higher.
Lastly, if the data points are very close to the estimated regression line, then the line is likely to look visually appealing and not "ugly." The regression line is a summary of the data and should be a good representation of the observed relationship between the variables.
So, correct options are C and D.
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Jomar decides that he needs to study for an average of 1 hour and 30 minutes
a day in order to prepare for his French test this Friday. He studies for 2 hours
each day on Saturday through Monday, but is too busy to study on Tuesday
and Wednesday. How long must Jomar study on Thursday to be prepared for
his test?
Answer:
Jomar needs to study for 3 hours on Thursday to be prepared for his test.
Step-by-step explanation:
If we want to make the average a certain amount of time over a certain number of days, we can first figure out the number of days and total amount needed. Here, we can see that the average is 1 hour and 30 minutes, and there are 6 days (Saturday-Thursday). Therefore, as
average = total / length, we can multiply both sides by length to get
average * length = total
Plugging 1.5 hours in for average and 6 days for length, we get
1.5 * 6 = 9 hours as the total amount needed to get an average of 1.5 hours a day
Our total so far is 2 hours for Saturday, 2 hours for Sunday, and 2 hours for Monday. This adds up to 6 hours, and we need 9. The difference between 9 and 6 is 3, meaning that Jomar needs to study for 3 hours on Thursday to be prepared for his test.
During a sale, a shop sold diaries at $18 each. One diary was given free with every 3 diaries bought.
(a) What was the maximum number of diaries that could be bought with $500?
(b) If a company spent $740 on the diaries, how many diaries would the company receive?
(c) On Monday, the shop sold or gave away a total of 745 diaries. 1/5 of them were sold in 1s and the rest were sold in 3s or given away free. Find the total amount of money collected by the shop on Monday.
The total amount of money collected by the shop on Monday is $13410.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
During a sale, a shop sold diaries at $18 each.
One diary was given free with every 3 diaries bought.
Now,
A. the maximum number of diaries that could be bought with $500;
=500/18=27.7
Free diaries with 27 diaries=27/3=9
B. Number of diaries company will receive;
=740/18=41
Free diaries=41/3=13
Total diaries company will get= 41+13=54
C. The total amount of money collected;
1/5th of 745=149
Diaries left=745-149=596
Cost= 745*18=13410
Therefore, by algebra the cost of diaries will be $13410.
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help!! matthh.. math math math math... MATH!!..
Answer:
6
Step-by-step explanation:
3/4 * x/7 = 9/14
x= 6
What value represents the solution of the equation 2 (x+5) = }(2 - 4)?
A
-8
B
-6
С
6
D
8
Answer:
C -6
step by step explanation:
!!Please answer and don’t give me the wrong answer!!
bentonville high school’s student council is planning a fundraiser. a local coffee shop has agreed to make a flag donation of $500 and also give a percent of their total sales over a specified weekend. the total donation can be modeled by the function rule D(s)=500+0.05s, where s represents the total sales at the coffee shop during the fundraising weekend in dollars. find the value of D(2750), showing your work. What does this quantity mean in the context of the problem solution
Answer: D(2750) = 637.5
if total sales = $2750 then total donation = $637.5
Step-by-step explanation:
GIven: A local coffee shop has made a flat donation of $500 and also give a percent of their total sales over a specified weekend.
The total donation can be modeled by the function rule D(s)=500+0.05s,
where s = total sales at the coffee shop during the fundraising weekend in dollars.
Now, D(2750) = 500+0.05(2750)
= 500+ 137.5
= 637.5
i.e. if total sales = $2750 then total donation = $637.5
which of the following conditions is not sufficient to show that the two triangles are congruent
The condition that is not sufficient to show that the two triangles are congruent is (b) ASA similarity statement
Identifying the similar triangles in the figure.From the question, we have the following parameters that can be used in our computation:
The triangles (see attachment)
These triangles are similar is because:
The triangles have similar corresponding side and congruent angles
By definition, the SAS similarity statement states that
"If two sides in one triangle is proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar"
This means that they are similar by the ASA similarity statement
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Is the coordinates of a point are 3 and 4?
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
The coordinates of point A = (-5, -4),
The coordinates of the point B = (-3, 3)
Let the point at the distance 3/4 from A to B = P
The coordinates of point 3/4 from A to B = P
At the x-coordinate, the distance from B to A is = -3-(-5) = 2 units.
At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.
Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)
P = (-5 + (3/4×(2), -4 + 3/4×(7))
P = (-3.5, 1.25)
Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).
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The complete question is -
What are the coordinates of the point 3/4 of the way from A to B?
Assume the study produces a correlation of .56 between the variables. Analyze three possible causal reasons for the relationship. Each team will design a correlational study, groups will need two variables with at least five sets of data. between these two variables: time spent playing video games and aggression.
Possible causal reasons for the correlation between time spent playing video games and aggression are:
1. Video games cause aggression: This suggests that playing violent video games leads to aggressive behavior. To study this causal hypothesis, one possible approach would be to randomly assign participants to play either a violent or non-violent video game for a certain amount of time and then measure their level of aggression using a standardized aggression scale. This could be repeated with different samples to increase the reliability of the results.
2. Aggressive individuals seek out violent video games: This suggests that individuals who are already predisposed to aggression are more likely to choose to play violent video games. To test this hypothesis, researchers could administer an aggression scale to participants before asking them to report how often they play video games, and what types of games they prefer. The correlation between aggression scores and the amount of time spent playing violent video games would then be calculated.
3. A third variable is responsible for the relationship: This suggests that there is a third variable that causes both increased video game play and aggression. For example, this third variable could be stress levels, which may increase the likelihood of both playing video games and displaying aggressive behavior. To study this hypothesis, researchers could measure stress levels in participants and then ask them to report how often they play video games and their level of aggression. The correlation between stress levels and both video game play and aggression could then be calculated.
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12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 10^9. (Round to the nearest minute. )
In 18 minutes the number of bacteria would reach 10⁹.
What is exponential?Exponents are used in exponential functions, as the name implies. But keep in mind that an exponential function has a constant as its base and a variable as its exponent, not the other way around (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). One of the following forms can be an exponential function.
The exponential function is a type of mathematical function that is useful in determining the growth or decay of quantities such as population, money, and price that are increasing or decreasing exponentially.
If we divide 10⁹ by 6 we get 18.166666
So, In 18 minutes the number of bacteria would reach 10⁹
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Negate each of these statements. In each case decide which statement is true, the original statement or its negation.
a. Some students like geometry.
b. There is a quadrilateral for which the diagonals do not intersect.
c. All right triangles are isosceles.
d. No equilateral triangle is a right triangle
a. The original statement is "Some students like geometry." The negation of this statement is "No students like geometry." To determine which statement is true, we would need more information.
If there is at least one student who likes geometry, then the original statement is true. However, if it is not the case that any student likes geometry, then the negation is true. b. The original statement is "There is a quadrilateral for which the diagonals do not intersect." The negation of this statement is "For all quadrilaterals, the diagonals intersect." To determine which statement is true, we need to consider the properties of quadrilaterals.
In Euclidean geometry, the diagonals of a convex quadrilateral always intersect, so the negation is false and the original statement is true. c. The original statement is "All right triangles are isosceles." The negation of this statement is "There exists a right triangle that is not isosceles." To determine which statement is true, we can refer to the definition of a right triangle, which states that it has one angle measuring 90 degrees. Since a right triangle can have other angles of different measures, the negation is true and the original statement is false.
d. The original statement is "No equilateral triangle is a right triangle." The negation of this statement is "There exists an equilateral triangle that is a right triangle." To determine which statement is true, we can consider the properties of equilateral triangles. In Euclidean geometry, an equilateral triangle cannot have a 90-degree angle since all its angles are equal and measure 60 degrees. Therefore, the negation is false, and the original statement is true.
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in a study that began in 1965, a group of 3,000 adults were asked about alcohol consumption and then followed into the future. the occurrence of cases of cases between 1981 and 1995 were studied. what type of study is this?
This type of study is prospective cohort study.
What is the source of controls in a case-control study?Controls consist of individuals from the source population who do not have the outcome of interest. Case-base sampling (also known as "case-cohort" sampling): Controls are selected from the population at risk at the beginning of the follow-up period in the cohort study within which the case-control study was nested.
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I saw these answers by the community on here, but they don’t explain how they got the answers. I need help with why 2, 4, and 5 are the answers because I know why 1 is an answer.
Given:
\(\begin{gathered} SQ=10cm \\ \angle PCQ=30^{\circ} \end{gathered}\)To find:
The correct statements
Explanation:
Since the angles PCQ and SCR are vertically opposite angles.
So, we can write it as,
\(\begin{gathered} \angle PCQ=\angle SCR \\ \hat{PQ}=\hat{SR} \end{gathered}\)Therefore, the arc PQ is congruent to arc SR.
So, the first statement is correct.
Since the angles PCQ and SCR are vertically opposite angles and the angles QCR and PCS are vertically opposite angles.
So, we can write it as,
\(\begin{gathered} \operatorname{\angle}PCQ=\operatorname{\angle}SCR\Rightarrow i.e)\hat{PQ}=\hat{SR} \\ \operatorname{\angle}PCS=\operatorname{\angle}QCR\Rightarrow i.e)\hat{PS}=\hat{QR} \end{gathered}\)Since the central angle of a circle is 360 degrees.
Therefore,
\(\begin{gathered} \hat{PQ}+\hat{QR}+\hat{RS}+\hat{PS}=360 \\ 30+\hat{QR}+30+\hat{PS}=360 \\ \hat{QR}+\hat{PS}=360-60 \\ \hat{QR}+\hat{QR}=300[QR\text{ and PS are vertical angles\rbrack} \\ 2\hat{QR}=300 \\ \hat{QR}=150^{\circ} \end{gathered}\)Therefore, the measure of an arc QR is 150 degrees.
So, the second statement is correct.
Let us find the circumference of the circle.
\(\begin{gathered} Radius=\frac{10}{2}cm \\ r=5cm \end{gathered}\)Using the circumference formula,
\(\begin{gathered} C=2\pi r \\ =2\times\pi\times5 \\ =10\pi cm \end{gathered}\)Therefore, the circumference of the circle is,
\(C=10\pi cm\)So, the third statement is wrong.
Let us find the arc length of PS.
Here,
\(\begin{gathered} Radius,r=\frac{10}{2} \\ r=5cm \\ \hat{PS}=150^{\circ} \end{gathered}\)Using the formula,
\(\begin{gathered} l=\frac{\theta}{360}\times2\pi r \\ Arc\text{ length, }\hat{PS}=\frac{150}{360}\times2\times\frac{22}{7}\times5 \\ =13.09 \\ \approx13.1cm \end{gathered}\)Therefore, the arc length of PS is 13.1cm.
So, the fourth statement is correct.
Let us find the arc length of QS.
Here,
\(\begin{gathered} r=5cm \\ \hat{QS}=P\hat{Q}+\hat{PS} \\ =30+150 \\ \hat{QS}=180^{\circ} \end{gathered}\)Using the formula,
\(\begin{gathered} l=\frac{\theta}{360}\times2\pi r \\ Arc\text{ length, }\hat{QS}=\frac{180}{360}\times2\times\frac{22}{7}\times5 \\ =15.71 \\ \approx15.7cm \end{gathered}\)Therefore, the arc length of QS is 15.7cm.
So, the fifth statement is correct.
Final answer: The statements 1, 2, 4, and 5 are correct.
if log75 = 0.83 then log57 =
The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.
We can use the logarithm properties to find the value of log57 given that log75 is 0.83.
One of the logarithm properties states that:
log(a * b) = log(a) + log(b)
Using this property, we can express log57 in terms of log75:
log57 = log(5 * 3 * 19)
Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:
log57 = log(5 * 3 * 19)
log57 = log5 + log3 + log19
However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.
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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.
To find log57 using the given information log75 = 0.83, we can use the change of base formula:
if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c
Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).
We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,
so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83
Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now
we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510
Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.
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Please answer fully and explain
Answer:
Step-by-step explanation:
Hope this helps u !!
102=(1/3)πr²h
102×3÷π÷(4.96)²=h
h=3.96cm
Given the vertices of a triangle are \( P(2,6), Q(-7,3) \) and \( R(-2,-8) \). Determine the equation of the altitude that passes through the point \( P \).
The equation of the altitude passing through point (P) is \(\(y = \frac{5}{11}x + \frac{56}{11}\).\) To find the equation of the altitude passing through point (P), we first need to determine the slope of the line containing the side opposite to point (P).
This line will be perpendicular to the altitude we are looking for.
Let's calculate the slope of the line passing through points \(Q\) and \(R\):\(\[\text{{Slope}}_{QR} = \frac{{y_R - y_Q}}{{x_R - x_Q}}\]\)
Substituting the coordinates of points \(\(Q(-7, 3)\)\)and \(\(R(-2, -8)\):\)\(\[\text{{Slope}}_{QR} = \frac{{-8 - 3}}{{-2 - (-7)}} = \frac{{-11}}{{5}}\]\)
Since the altitude and the side QR are perpendicular, the slope of the altitude will be the negative reciprocal of \(\(\text{{Slope}}_{QR}\)\). Let's call the slope of the altitude \(m\):
\(\[m = -\frac{1}{\text{{Slope}}_{QR}} = -\frac{1}{\frac{-11}{5}} = \frac{5}{11}\]\)
Now that we have the slope \(m\) of the altitude and the point \(P(2, 6)\) it passes through, we can use the point-slope form of a linear equation to find the equation of the altitude:\(\[y - y_1 = m(x - x_1)\]\)
Substituting \(\(x_1 = 2\), \(y_1 = 6\)\), and \(\(m = \frac{5}{11}\)\):
\(\[y - 6 = \frac{5}{11}(x - 2)\]\)
To convert this equation into slope-intercept form \((\(y = mx + b\))\), we can simplify it:\(\[y - 6 = \frac{5}{11}x - \frac{10}{11}\]\)
Adding \(\frac{10}{11}\) to both sides:\(\[y = \frac{5}{11}x - \frac{10}{11} + \frac{66}{11}\]\)
Simplifying further:\(\[y = \frac{5}{11}x + \frac{56}{11}\]\)
Therefore, the equation of the altitude passing through point \(P\) is \(\(y = \frac{5}{11}x + \frac{56}{11}\).\)
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Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, the angle B measures
Answer:
Answer is 25°
Step-by-step explanation:
let me know if you got it correct
Seven times a number minus the number is -48. Find the number.
Answer:
-8
Step-by-step explanation:
(7)*(-8) = -56
(-56) - (-8) = -48
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The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)
Answer:
f(1) = 2
f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
the point of coordinates (1 , 2) is on the graph
Then
f(1) = 2
…………………………
We notice that :
f(2) = 4
f(3) = 8
f(4) = 16
16/8 = 8/4 = 4/2 = 2/1 = 2
________________________
This means the common ratio
of the geo sequence = 2
Hence ,
f(n) = 2 × f(n - 1)
Answer: f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2x, y = 2 x , about y = 2
To find the volume of the solid obtained by rotating the region bounded by the curves y = 2x and y = 2x about the line y = 2, the method of cylindrical shells can be used.
When rotating the region bounded by the curves y = 2x and y = 2x about the line y = 2, we can visualize the resulting solid as a collection of infinitesimally thin cylindrical shells.
The height of each shell is given by the difference between the lines y = 2 and the curve y = 2x, which is 2 - 2x. The circumference of each shell is given by 2πx since the shell is formed by rotating a line segment of length x.
Integrating the product of the height and circumference over the range of x where the curves intersect (from x = 0 to x = 1), we can find the volume of the solid using the formula V = ∫(2πx)(2 - 2x) dx. Evaluating this integral will yield the volume of the solid.
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Find the value of x. x+35 4x
Helppppppppppppppppppp I’ll mark you brainlist write in y=mx+b if you answer in random answer you will be reported :)
Answer:
y = -3/4x
Step-by-step explanation:
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
Which number, raised to the fourth power, equals 20,736?
A. 12
B. 144
C. 1.296
D. 5,184
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
25
Step-by-step explanation:
So find the number that is a perfect square and 2 times the square root = 10
The number is 25.
Check:
\((x+5)^2=x^2+10x+25\)
Answer:
The answer is 25.
Step-by-step explanation:
25 is a perfect square of 5. When x are added together, they form 10x.
\( {(x + 5)}^{2} \)
\( {x}^{2} + 2(x)(5) + {5}^{2} \)
\( {x}^{2} + 10x + 25\)
Find the supplement of 29°
Answer:
151°
Step-by-step explanation:
Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.
what is 4.6783 x 10 to the third power
4.6783x10^3 P.E.M.D.A.S. exponent before multiplication 10^3 =1000
1000x4.6783= 4,678.3
g consider a disk queue holding requests to the following cylinders in the listed order: 94, 169, 39, 135, 22, 133, 69, 65. using each of the following scheduling algorithms, what is the order in which the requests will be serviced? (assume that the disk head is currently located at cylinder 50 and is moving toward higher numbered cylinders).
For FCFS (First Come, First Served):The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65.
SSTF (Shortest Seek Time First):
The requests will be serviced in the following order: 39, 22, 65, 69, 94, 133, 135, 169
SCAN:
The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22
C-SCAN:
The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65
LOOK:
The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22
C-LOOK:
The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65
In FCFS and C-SCAN, the requests are serviced in the same order as they were received. In SSTF and LOOK, the requests are serviced in an order that minimizes the seek time of the disk head. In SCAN and C-LOOK, the requests are serviced in an order that moves the disk head in one direction (towards higher numbered cylinders in this case) until the end of the disk is reached, and then moves the disk head in the opposite direction to service the remaining requests.
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Solve the right triangle. Round your answers to the nearest tenth.
The value of the missing parts of the given right triangle is given as follows:
A = 46°
a = 13.5
c = 18.7
How to calculate the value of the missing parts of the triangle?To determine the missing part of the triangle, the following should be carried out.
The total internal angle of a triangle = 180°
The given angle = 90°+44° + A = 180°
180° = 134°+ A
A = 180-134 = 46°
Using the sine formula;
a/sinA = b/sinB
a =?
A = 46°
b = 13
B = 44°
That is ;
a/sin 46° = 13/sin 44°
a = 0.719339800×13/0.694658370
= 13.5
Using the Pythagorean formula;
c² = a²+b²
c² = ?
a = 13.5
b = 13
c² = 13.5²+13²
= 180.9+169
= 349.9
c = √349.9
= 18.7
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