Answer: (4,8)
Step-by-step explanation:
(8) = (4) + 4
8 = 8
TRUE
(8) = 3(4) - 4
8 = 12 -4
8=8
TRUE
7. What is the DEGREE of the following binomial:
3x-2
which pair of lines are perpendicular
Answer:
you're right!! its C
Step-by-step explanation:
For lines to be perpendicular, the multiplied slopes of the line need to be -1, so
y=1/3x-1
y=-3x-4
(1/3)*(-3)=-1
therefore, they are perpendicular
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 171 in. Find the dimensions of the cylindrical package of greatest volume that may be sent via priority mail. (Hint: The length plus the girth is 2r + l.)
r =
l =
volume =
If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.
Given that,
The combined length and girth of a priority mail package cannot exceed 171 inches, according to postal standards.
We have to find calculate the size of the largest volume, cylindrical container that can be sent via priority mail.
We know that,
Let
Length= Breadth =x
Height=y
Volume can be written as
V=x²y
Now,
Combined length and girth is
7x+y=171
y=171-7x
V(x)=x²(171-7x)
V(x)=171x²-7x³
Differentiating with respect to x.
V'(x)=343x-21x²
The maximum value
V'(x)=0
343x-21x²=0
7x(49-3x)=0
x=0
and
49-3x=0
3x=49
x=49/3
Once again differentiating with respect to x.
V''(x)=343-42x
V''(x)=343-42(0)=343>0(min)
V''(x)=343-42(49/3)=-343<0(max)
The maximum volume is
Vmax=V(49/3)=(49/3)(171-7(49/3))
Vmax=925
Therefore, If a priority mail package has a maximum combined length and girth of 171 inches and is rectangular in shape with a square cross section, the maximum volume allowed is 925.
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Helppp (7th grade)
_inches
Answer:
h = 8 inches
Step-by-step explanation:
Since these shapes are similar and one side of the bigger shape is double the other side (44 is the double of 22), to find side h, you have to multiply 4 by 2 (It's the same relationship between the two sides of similar shapes). 4 times 2 is equal to 8, which is your answer.
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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1 cup = 16 tablespoons 1 tablespoon = 3 teaspoons a certain recipe calls for 1/4 cup of white sugar, 1/2 cup of brown sugar, 2 1/4 cups of flour, 1/4 teaspoon of salt, and 2 tablespoons of cornstarch. the amount of cornstarch called for is approximately what fraction of the total amount of sugar called for
Answer:
Step-by-step explanation:
brown sugar=1/2 cup=(1/2)*16=8 tablespoons
Total amount of sugar called for=4+8=12 tablespoons
Amount of cornstarch called for=2 tablespoons
cornstarch = 2/12=1/6 of the total amount of sugar called for
"Determine the length of the line segment shown."
The length of the segment shown in the graph is 10 units
The endpoints on the line segment are : (2, - 1) and (-4,7)
Length of line segmentThe Length of a line segment can obtained using the relation :
Length = √(x2 - x1)² + (y2 - y1)²
Here,
x2 = - 4, x1 = 2, y2 = 7, y1 = - 1
Length of segment = √((-4) - 2)² + (7 - (-1))²
Length of segment = √(-6)² + (8)²
Length of segment = √36 + 64
Length of segment = √100 = 10 units
Therefore, the length of the segment on the graph shown is 10 units.
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A bicycle wheel has diameter 66 cm. Find how many turns the wheel makes when the bicycle travels 400 metres.
The number of turns the wheel makes is 1.93 ≈ 2.
What is Turns?
This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.
formular for calculating Turns:
Turns = Lenght
Circumference
Circumference of a circle, C= πD
Where,
Diameter=D
π =22/7
Calculating Circumference;
C= 22 * 66
7
=207.4
From the question:
D= 66cm
L =400m
Calculating Turns:
Turns = Lenght
Circumference
= 400m
207.4
Turns =1.93
Turns =1.93≈ 2
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4. Given quad JONE is a trapezoid.
0
N
'
s
E
m
a. ZONJ
b. If OJ NE, then OE
C. If OJ NE, then ZNEJ
Answer:
A. ONE
B. NJ
C. OJE
Step-by-step explanation:
What is 1 7/8 of 4 9/13?
Answer:
8 83/104.
Step-by-step explanation:
4 9/13 * 1 7/8
= 61/13 * 15/8
= 915/104
= 8 83/104.
Type the correct answer in the box.Use numerals instead of words. If necessary, use / for the fraction bar.ΔABC is a right triangle in which ∠B is a right angle, AB = 1, AC = 2, and BC = .
cos C × sin A =
Answer:
3/4
Step-by-step explanation:
The value of cos C x sin A is 3/2.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
AB = 1
AC = 2
BC = √3
Now,
∠B = 90°
∠A = 60°
∠C = 180 - (90 + 60) = 180 - 150 = 30°
cos C = cos 30° = √3 / 2
sin A = sin 60° = √3/2
Now,
Cos C x Sin A
= √3/2 x √3 / 2
= 3/2
Thus,
The value is 3/2.
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4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C. $49.50 D. $43.75
Answer: D. $43.75
Step-by-step explanation:
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0), and crosses the y-axis at (0, negative 3). What are the intercepts of the graphed function? x-intercept = (–1, 0) a y-intercept = (–3, 0) b x-intercept = (0, –1) c y-intercept = (0, –3) d x-intercept = (0, –1) e y-intercept = (–3, 0) f x-intercept = (–1, 0) g y-intercept = (0, –3)
Answer:
It’s d on edge
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Edge
x + y =7
x - y= 1
find X and Y
Answer:
x=4 and y=3
Step-by-step explanation:
Median of 3,6,9,7,4,6,7,0,7
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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PLEASE HELP
Write an equation for a line perpendicular to f(x)=5x-1 and passing through the point (5,20).
Answer:
f(x)=-5x+1
Step-by-step explanation:
i hope this works for you
find the value of x
help please !
Answer:
56°
Triangles are supposed to equal 180° when all the degrees inside are added, and when you add 44 and 80 it equals 124
Now you subtract 124 from 180 and then you get 56
So the answer would be 56° :)
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
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10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?
Answer:
20
Step-by-step explanation:
20 - 3
Sarah is 3 years older so 23 is going to be subtracted.
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]100 POINTS + BRAINLIEST!!
Answer:
Taking radius of a semicircle to be 3cm calculate the area using (1/2πr²) and add the area of rectangle calculated by use of formula L×w
Therefore Area=π(1/2×3²)+(12×6)
=76.5π
Answer:
82.27
Step-by-step explanation:
Please see the diagram attached to this solution for measurements
Area of the figure = Area of semi circle + area of rectangle
As per the figure
\(l_{rectangle} = 9\\w_{rectangle} = 6\\r_{semi-circle} = 3\)
therefore,
\(Area = \dfrac{\pi r^{2}}{2} + l\cdot w\)
substitute values of l, w and r, we get
\(Area = 82.27 cm^2\)
Hopefully this answer helped you!!!
$16,000 is deposited into a savings account with an annual interest rate of 2% compounded continuously. How much will be in the account after 4 years? Round to the nearest cent.
The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
Understanding Compound InterestRecall the compounding formula:
A = P * \(e^{rt}\)
Where:
A = Final amount in the account
P = Initial principal (deposit)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (as a decimal)
t = Time in years
Given:
Initial principal (P) = $16,000
Annual interest rate (r) = 2% = 0.02
time (t) = 4 years.
Substitute these values into the formula, we get:
A = $16,000 * \(e^{0.02 * 4}\)
Using a calculator, we can calculate:
A = $16,000 * \(e^{0.08}\)
A = $16,000 * 1.0833
A = $17,332.8
Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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whoever gets this correct first gets brainlest!!
D. f(x)=4 (5/2)^x
Are really good tool for graphing problems is Demos.com
My digits are consecutive numbers.
The sum of my digits is 15.
I am an even number.
My hundreds digit is less than my tens digit.
Answer:
456 is the number you are looking for.
Step-by-step explanation:
Consecutive numbers are numbers which continuously follow each other in the order from smallest to largest.
Have a nice day!
The solution to an inequality is represented by the number line.
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
How can this same solution be written using set-builder notation?
The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.
What is the set builder notation representation of the solution?It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.
And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.
The representation is therefore; {x: 3< x <=5}.
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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.
This is further explained below.
What does the answer look like when represented using set builder notation?Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.
And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.
As a result, the representation is written as:
"x: 3 x = 5."
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centra
Jonah drives his car to and from work. The total length of the trip to and from work is 19.8 miles. In
August, Jonah worked 26 days.
How many miles in all did Jonah drive to and from work that month? Complete the explanation.
19.8
26
Jonah drove
miles in August
Plz
514.8 your welcome
All you have to do is multiply 19.8 x 26
If
A = {a,g,h,q,l,m}
a. How many subsets does
A
have? Be sure to include the calculation you are using.
b. How many proper subsets does
A
have? Be sure to include the calculation you are using.
Answer:
Step-by-step explanation:
A has 6 elements therefore
a) A has \( 2^6\) subsets, and
b) A has \(2^{6}-1\( proper subsets since we dont want the subset to be equal to A itself.
Which of the following expressions equates the denominator to 0? I - 2x P A C. H2 - 1 m 4y x² - 2x+4x B. D. 30 x+2
Given statement solution is :-I - 2x P A C. H2 - 1 m 4y x² - 2x+4x This expression equates the denominator to 0 when x = -2.
To determine which expression equates the denominator to 0, we need to find the expression that results in a denominator of 0 when solved for x.
Let's examine each expression:
A. I - 2x P A C. H2 - 1 m 4y x² - 2x+4x
This expression does not contain any denominator, so it cannot equate the denominator to 0.
B. D. 30 x+2
This expression has a denominator of (x + 2). To find the value of x that makes the denominator equal to 0, we set (x + 2) equal to 0 and solve for x:
x + 2 = 0
x = -2
Therefore, this expression equates the denominator to 0 when x = -2.
In summary, the expression B. D. 30 x+2 equates the denominator to 0.
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You have $500,000 saved for retirement. Your account earns 7% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 25 years?
$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.
Formula to calculate the present value of the annuityPV = PMT × [1 - (1 + r)⁻ⁿ] / r
where:
PV is the present value of the annuity
PMT is the payment amount per period
r is the interest rate per period
n is the total number of periods
In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.
The interest rate per period is 7% / 12 = 0.5833%.
Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,
PV = PMT × [1 - (1 + r)⁻ⁿ] / r
500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833
Solving for PMT, we get:
PMT = PV × r / [1 - (1 + r)⁻ⁿ]
PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]
PMT = $3,244.21
Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.
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