Answer: $4.50
Step-by-step explanation:
Original Price: $6
Discount: 25%
Discounted Price: 6*25%= $1.5
$6-$1.5= $4.5
Solve eight and three fifths minus two and four ninths.
Answer:
6.15555555556
Step-by-step explanation:
the 5 is infinite in 6.15 such as 6.155555555 it does not stop
convert 5.75 hours to minutes
[tex]\boldsymbol{\sf{Therefore \to \ 5.75\not{h}*\dfrac{60 \ min}{1\not{h}} =345 \ min }}[/tex]
5.75 hours is equal to 345 minutes.
A straight line passes through the points (1,3) and (2,2). What is the x-intercept of this line?
Answer:
x-int: (4, 0)
Step-by-step explanation:
First, we need to find the equation of the line.
The equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
Thus, we need to find the slope first by using the slope formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\[/tex] or change in y / change in x
So we have: [tex]\frac{3-2}{1-2}=\frac{1}{-1}=-1=m[/tex]
We must plug in the slope to find the y-intercept:
[tex]3=-1(1)+b\\3=-1+b\\4=b[/tex]
So the equation of the line is y = -x + 4
The x-intercept means that the y coordinate is 0 so we can use the equation:
[tex]0=-x+4\\-4=-x\\4=x[/tex]
Question 11(Multiple Choice)
(05.06 MC)
Using the graph of the function g(x) = log3 (x-4), what are the x-intercept and asymptote of g(x)?
The x-intercept is 3, and the asymptote is located at x = 4.
The x-intercept is 5, and the asymptote is located at x = 4.
The x-intercept is 4, and the asymptote is located at y = 5.
The x-intercept is 5, and the asymptote is located at y = 3.
The x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
How to determine the x-intercept and asymptote of g(x)?The equation of the function is given as:
g(x) = log3 (x - 4)
Set the function to 0, to determine the x-intercept
log3 (x - 4) = 0
Express the function as an exponential function
x - 4 = 3^0
Evaluate the exponent
x - 4 = 1
Add 4 to both sides
x = 5
Set the radical to 0, to determine the asymptote
x - 4 = 0
Add 4 to both sides
x = 4
Hence, the x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
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PLEASE HELP! ……………..
Step-by-step explanation:
I am not sure I can read the original expression right, the picture is too blurry for the small digits.
is it 3^(5/5) ?
or rather 3^(5/6) ?
in any case, you should know that a number written like this always has the structure
a^(b/c)
so,
a = 3
b = 5 (or whatever is the numerator or top of the fraction)
c = 5 (or whatever is the denominator or bottom of the fraction).
the denominator of a fraction in an exponent gives us the grade of root to be taken.
the numerator gives us the power of the base number.
and if the exponent is negative it would mean that the whole thing is a 1/... fraction.
like 3^-2 means 1/3².
35 POINTS!!! PLEASE HELP !!!!!!!!!!!!!!
( I already know the answer isn't -2, -1 so D is out of the question
A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
A function is increasing when the y-value increases as the x-value increases.
A function is decreasing when the y-value decreases as the x-value increases.
From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:
x-value -2 to -1 → increasey-value 2 to 0 → decreaseFrom x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:
x-value -1 to 0 → increasey-value 0 to 2 → increaseFrom x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:
x-value 0 to 1 → increasey-value 2 to 8 → increaseTwo balls are drawn in succession out of a box containing red and white balls. Find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. Not replaced before the second draw.
The probability that at least 1 ball was red, given that the first ball was replaced before the second draw is 28.5%; and the probability that at least 1 ball was red, given that the first ball was not replaced before the second draw is 22.5%.
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.To find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. Not replaced before the second draw:
2 + 5 = X7 = X(2/7 + 2/7) /2 = X(0.285 + 0.285) /2 = X0.285 = X(2/7 + 1/6 ) /2 = X(0.28 + 0.16) /2 = X0.451/2 = X0.225 = XTherefore, the probability that at least 1 ball was red, given that the first ball was replaced before the second draw is 28.5%; and the probability that at least 1 ball was red, given that the first ball was not replaced before the second draw is 22.5%.
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The complete question is given below:
Two balls are drawn in succession out of a box containing 2 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was (Upper A )Replaced before the second draw. (Upper B )Not replaced before the second draw.
A car is known to be 88% likely to pass inspection at a certain motor vehicle agency inspection office. what is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this motor vehicle agency inspection office?
Using the normal distribution, there is a 0.3228 = 32.28% probability that at least 90 cars pass inspection.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].The parameters for the binomial distribution are given by:
n = 100, p = 0.88.
Hence the mean and the standard deviation for the approximation are:
[tex]\mu = np = 100 \times 0.88 = 88[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{100 \times 0.88 \times 0.12} = 3.25[/tex]The probability that at least 90 cars pass inspection, using continuity correction, is P(X > 89.5), which is one subtracted by the p-value of Z when X = 89.5, hence:
Z = (89.5 - 88)/3.25
Z = 0.46
Z = 0.46 has a p-value of 0.6772.
1 - 0.6772 = 0.3228.
0.3228 = 32.28% probability that at least 90 cars pass inspection.
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David reflects the word 'MOM' over the y-axis and notices
that is still reads the same. Is the same true for the word
'DAD'? Use letter symmetry to explain why or why not.
The reflection of the word DAD across the y-axis is not the same
How to determine the true statement?The statement is given as:
MOM, when reflected over the y-axis = MOM
The above is true because the letters M and O have reflectional symmetry across the y-axis
However, the letter D do not have a reflectional symmetry across the y-axis
So, the letters would not remain the same when reflected
Hence, the reflection of the word DAD across the y-axis is not the same
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Qualitative data are made up of words rather than numbers. Because of this, analyzing the data is _____________. (Select all that apply)
Answer: 6328723894
Step-by-step explanation:
Pls help as soon as possible
Answer:
12
Step-by-step explanation:
6*6 = 36
36/3 = 12
Answer:
12
Step-by-step explanation:
Given expression:
[tex]\dfrac{1}{3}x^2[/tex]
To evaluate the given expression for x = 6, substitute x = 6 into the expression and simplify:
[tex]\begin{aligned}x=6 \implies \dfrac{1}{3}(6)^2 & = \dfrac{1}{3}(6 \cdot 6)\\\\& = \dfrac{1}{3}(36)\\\\& = \dfrac{36}{3}\\\\& = \dfrac{3 \cdot 12}{3}\\\\& = \dfrac{\diagup\!\!\!\!3 \cdot 12}{\diagup\!\!\!\!3}\\\\& = 12\end{aligned}[/tex]
A town is mapped on a coordinate grid. The library is located at point (-3, 9) and the museum is located at
point (8, 2).
Where is the midpoint of the line segment whose endpoints are the library and the museum?
O (-5.5, 5.5)
O (-5.5, 3.5)
O (2.5, 3.5)
O (2.5, 5.5)
Applying the Midpoint Formula, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).
What is the Midpoint Formula?To find the coordinates of the midpoint between two endpoints on a coordinate plane, the midpoint formula that is used is expressed as: M[(x2 + x1)/2, (y2 + y1)/2].
Given the following coordinates:
The library is located at point (-3, 9)
The museum is located at point (8, 2), therefore, let:
(-3, 9) = (x1, y1)
(8, 2) = (x2, y2)
Midpoint = M(x, y)
Substitute the values into M[(x2 + x1)/2, (y2 + y1)/2]:
M(x, y) = [(8 + (-3))/2, (2 + 9)/2]
M(x, y) = (5/2, 11/2)
M(x, y) = (2.5, 5.5)
Thus, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).
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Answer:
Its D (2.5, 5.5) On Edg 2022-23
Step-by-step explanation:
Hope This Helps:))
Find the unit price of 70lbs of honey for $123.99. round your answer to nearest cent if necessary
Answer:
$1.77 per pound
Step-by-step explanation:
To find the unit price we divide the cost over the weight: 123.99/70 = 1.77128571 = 1.77
what is the equation of a line that has a slope of .8 and passes through the point (-3,1)
Answer:
y = 0.8x + 3.4
Step-by-step explanation:
Substituting into point-slope form and converting to slope-intercept form,
[tex]y-1=0.8(x+3) \\ \\ y-1=0.8x+2.4 \\ \\ y=0.8x+3.4[/tex]
A depository institution holds $164 million in required reserves and $9 million in excess reserves. Its remaining assets include $417 million
in loans and $137 million in securities.
If the institution's only liabilities are transactions deposits, calculate the required reserve ratio.
(Enter your response rounded to the nearest integer.)
The required reserve ratio is 0.226 or 22.6%.
Given that a depository institution holds $164 million in required reserves and $9 million in excess reserves and Its remaining assets include $417 million in loans and $137 million in securities.
The following equality always holds.
Total liabilities=Total assets
It is given that the institution's only liabilities are transaction deposits.
This means:
Total transaction deposits=Total assets
Total transaction deposits=Required reserves + Excess reserves + Loans + Securities
Total transaction deposits=$164+$9+$417+$137
Total transaction deposits=$727
Calculate the required reserve ratio as follows:
Required reserve ratio=(Required reserves)/(Total transaction deposits)
Required reserve ratio=($164 million)/($727 million)
Required reserve ratio=0.226 or 22.6%.
Hence, the required reserve ratio when a depository institution holds $164 million in required reserves and $9 million in excess reserves and Its remaining assets include $417 million in loans and $137 million in securities is 0.226 or 22.6%.
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A boy has 800 he spends 160 what fraction of his original money does he have left
Answer:
Step-by-step explanation:
800-160=640
640/800=64/80
64/80=16/20
16/20=4/5
Answer=4/5
The fraction of his original money does he have left = 4/5 .
What is a fraction in math?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.A boy has = 800 and spends = 160
800-160=640
640/800=64/80
64/80=16/20
16/20=4/5
Therefore, his original money left =4/5
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Solve following equation: [tex]y-4(2y-5)=-4[/tex]
Answer:
24 / 7
Step-by-step explanation:
y - 4(2y - 5) = -4
y - 8y + 20 = -4
-7y = -24
7y = 24
y = 24/7,
y = 3 and 3/7
or
y = 3.428571 all recurring
(they are all the same value in different forms I would just write 24/7)
The data set below has a lower quartile of 13 and an upper quartile of 37.
1, 12, 13, 15, 18, 20, 35, 37, 40, 78
Which statement is true about any outliers of the data set?
The dataset 78 is an outlier of the dataset
How to determine the true statement about the outlier?The dataset is given as:
1, 12, 13, 15, 18, 20, 35, 37, 40, 78
Where
Q1 = 13
Q3 = 37
The boundaries of the outliers are given as:
L = Q1 - 1.5 * (Q3 - Q1)
U = Q3 + 1.5 * (Q3 - Q1)
Substitute the known values in the above equation
L = 13 - 1.5 * (37 - 13) = -23
U = 37 + 1.5 * (37 - 13) = 73
This means that the data elements outside the range -23 to 73 are outliers.
78 is outside this range
Hence, 78 is an outlier of the dataset
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Which of the graphs below shows the solution set for -36 ≤ 2x + 4(x-3)?
A.
B.
-10-9-8-7-6-5-4-3-2-1 0
-10-9-8-7-6-5-4-3-2-1 0
C. A++
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
-10-9-8-7-6-5-4-3-2-1 0
D. +++
-10-9-8-7-6-5-4-3-2-1 01
Considering the given inequality, the solution is given by graph D.
What is the solution to the inequality?The inequality is given by:
-36 ≤ 2x + 4(x-3)
Applying the operations:
-36 ≤ 2x + 4x - 12
-24 ≤ 6x
6x >= -24
x >= -24/6
x >= -4.
Hence option D is correct.
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Find the sum of 10 x 2 + 7 x + 6 10x 2 +7x+6 and 6 x + 5 6x+5.
The sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
Sum of expressionsExpressions are equations separated by mathematical signs. This expressions are known to contains certain unknowns
Given the following expression
10x^2 +7x+6 and 6x + 5
We are to take the sum of both expression to have:
f(x) = 10x^2 +7x+6 + 6x + 5
Collect the like terms
f(x) = 10x^2 + 7x + 6x + 6 + 5
f(x) = 10x^2 + 13x + 11
Hence the sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
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The following are the distances (in miles) to the nearest airport for 12 families. 6, 7, 8, 8, 16, 19, 23, 24, 26, 27, 34, 35 Notice that the numbers are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
Using it's definitions, the five-number summary and the interquartile range for the data-set is given as follows:
Minimum: 6Lower quartile: 8Median: 21.Upper quartile: 27Maximum: 35Interquartile range: 19What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third quartile and the first quartile.This data-set has 12 elements, which is an even number, hence the median is the mean of the 6th and 7th elements, as follows:
Me = (19 + 23)/2 = 21.
The first quartile is the median of 6, 7, 8, 8, 16, which is the third element of 8.
The third quartile is the median of 23, 24, 26, 27, 34, 35, which is of 27. Hence the interquartile range is of 27 - 8 = 19.
The minimum is the lowest value in the data-set, which is of 6, while the maximum is of 35, which is the largest value in the data-set.
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[tex]\frac{12}{20}=[/tex] ____% = ____ hundredths
The equivalent numbers of 12/20 are 60% and 0.60
How to convert the fraction?The fraction expression is given as:
12/20
Multiply the fraction expression by 100%
So, the expression becomes
12/20 * 100%
Evaluate the product
60%
Express as fraction, again
60/100
Evaluate the quotient
0.60
Hence, the equivalent numbers of 12/20 are 60% and 0.60
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Quick algebra 1 question for 25 points!
Only answer if you know the answer, Tysm!
Answer:
d. 9
Step-by-step explanation:
y= 0.22x^2 - 1.76x +4.75
x is the time in months so we should replace x by 10
y = 0.22 (10)^2 - 1.76(10) + 4.75
0.22 (100) - 17.6 + 4.75
22 - 17.6 + 4.75
9.15
So the number of laptops that will be sold during month 10 is 9. (you can't have 0.15 of a computer)
Answer:
d. 9
Step-by-step explanation:
The equation: y = 0.22x^2 - 1.76x + 4.75
x: Time in months
y: Number of laptops sold
Since we need to predict the number of laptops that will be sold during month 10, we can replace the x with 10.
The new equation will be: y = 22 - 17.6 + 4.75
Then y will be 9.15
Since there cannot be 0.15 of a laptop, we round the number 9.15 to a whole number, which is 9.
D) 9 is our final answer to this question.
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
Part A: Is Sasha's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)
Part B: How many solutions does this equation have? (4 points)
I know part A, but what about Part B?
Part A: Sasha's solution of the equation incorrect. The solution x = 7.
Part B: The equation have They are unique solutions.
According to the question,
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
Step 2 is incorrect, the correct steps to find x, we would divide both sides by 8 so,
8 / 8x = 8 / 56
x = 7.
An equation can have infinitely many solutions only if the system of an equation has infinitely many solutions when the two lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. Then the have infinitely many solutions.
But, the given equation have unique solutions. Thus, x=7.
Hence, Part A: Sasha's solution incorrect. The solution x = 7.
Part B: They are unique solutions solutions.
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Find the slope of the line grapef below
Answer:
x = 1
Step-by-step explanation:
No matter what y is, x will always be 1.
(1,-4)
(1,-3)
(1,-2)
(1,0)
(1,1)
(1,2) and so on and so on.
An arc on a circle measures 250 degrees. Within range which range is the radian measure of the central angle?
If the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.
Given that the arc of a circle measures 250 degrees.
We are required to find the range of the central angle.
Range of a variable exhibits the lower value and highest value in which the value of particular variable exists. It can be find of a function.
We have 250 degrees which belongs to the third quadrant.
If 2π=360
x=250
x=250*2π/360
=1.39 π radians
Then the radian measure of the central angle is 1.39π radians.
Hence if the arc measures 250 degrees then the range of the central angle lies from π to 1.39π.
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Use the method of this example to calculate f · dr,c wheref(x, y) = 2xyi (y2 − x2)j(x2 y2)2 and c is any positively oriented simple closed curve that encloses the origin. f · dr
The area around the given curve according to the green theorem is [tex]F. dr = 0[/tex].
According to the statement
we have to find the area enclosed by the simple closed curve that encloses the origin.
So, We know that the
The given equation is
[tex]f(x,y) = \frac{2xyi + (y^{2} - x^{2} ) j}{(x^{2} + y^{2} )^{2} }[/tex]
and
If function is in form of,
[tex]F = Pi + Qj[/tex]
and C is any positively oriented simple closed curve that encloses the origin.
Then,by use of Green's theorem
Do the partial differentiation of the given function
Then
[tex]\frac{dQ}{dx} = \frac{2x^{3} - 6xy^{2}}{(x^{2} + y^{2} )^{3}}[/tex]
and
[tex]\frac{dP}{dy} = \frac{2x^{3} - 6xy^{2}}{(x^{2} + y^{2} )^{3}}[/tex]
On substitution in Green's theorem,
We get the value
[tex]F. dr = 0[/tex]
From this it is clear that the area around the given curve is zero.
So, The area around the given curve according to the green theorem is [tex]F. dr = 0[/tex].
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In a school of 910 pupils, 3/7 are boys and 2/5 of the boys wear glasses. how many boys wear glasses?
The number of boys wear glasses are 156 boys.
In this question,
Total number of pupils in the school = 910
Ratio of boys = 3/7
Then, number of boys = 910 × 3/7
⇒ 130 × 3
⇒ 390
Ratio of boys wear glasses = 2/5
Then, number of boys wear glasses = 390 × 2/5
⇒ 78 × 2
⇒ 156
Hence we can conclude that the number of boys wear glasses are 156 boys.
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Help ill mark brainliest and yea answeeer
2r + t + r
3r + t
The correct answer is C - None of the Above.
When we combine like terms, we combine terms that have the same variables but different coefficients. We cannot add 2r and t because r and t are not the same variables.
Hope this helps!
Answer:
None of the above
Step-by-step explanation:
Because the answer is 3r + t
summer hw still hurts
[4] Answer: (-4, 1)
[5] Answer: Infinite solutions
See attached for the graphs.
Step-by-step explanation:
The solution to a system of equations, when graphing, is the point of intersection. In other words, the point at which the lines intersect each other.
In the case of problem 5, the equations are equal so they overlap. This means there are infinite solutions.