Answer:
Step-by-step explanation:
256 tablespoons = 1 gallon of gas
1 tablespoon = 125 yards which is 41.66 feet (1 yard = 3 feet)
5280 feet = 1 mile
256x125=32000
32,000 Divided by 3=10,667
10,667 divided by 5280 = 2.02 mi rounded = 2mi
They can drive 2 mi per gallon
Match the graph to the correct inequality below.
Answer:
x > -3
Its an open dot so its not the one with the line under it.
AB is the diameter of circle T. Point A is located at (-9,-1) and point B is located at (-1,-5). What are the coordinates of the center of this circle?A. (-4, -2)B. (-2, -4)C. (-3, -5)D. (-5, -3)
ANSWER:
D. (-5, -3)
STEP-BY-STEP EXPLANATION:
We have that AB is the diameter of the circle T, we know that the diameter must pass through the center of the circle, also that the center of the circle is the midpoint of all the diameters of the circle, therefore, the midpoint of the diameter AB are the coordinates of the center of the circle.
The midpoint between two points can be calculated as follows:
\(\begin{gathered} (x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{replacing the point A (-9,-1) and point B (-1,-5)} \\ \text{replacing:} \\ (x_m,y_m)=(\frac{-9-1}{2},\frac{-1-5_{}}{2}) \\ (x_m,y_m)=(\frac{-10}{2},\frac{-6_{}}{2}) \\ (x_m,y_m)=(-5,-3) \end{gathered}\)The coordinates of the center of this circle are (-5, -3)
What is the probability of rolling an even number followed by an odd number on a 6-sided number cube?
Answer: 1/4
Step-by-step explanation:
There are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5).
This means the probability of rolling an even number is 1/2, and the probability of rolling an odd number is also 1/2.
Multiplying these probabilities yields a final answer of 1/4.
how many ways can six of the letters of the word algorithm be selected and written in a row if the first two letters must be or?
There are 840 ways to six letters of ALGORITHM be written in a row with first two letters OR.
Given in the question:
The word ALGORITHM has 9 letters. We want them to be written in a row, which means, order of the letters are important, so, we will use Permutation.
Formula for Permutation:
P(n,r) = n!/(n-r)!
we will use 7 letters out of 9 letters and 4 letters
n= 7 and r = 4
Now, we will put values in the formula:
P(7,4) = 7! / (7-4)!
P(7,4) = 7! / 3!
P(7,4) = 7 × 6 × 5 × 4
= 840.
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Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form
To find the values of sin D, sin E, cos D, and cos E, we need additional information such as the measures of angles D and E or the lengths of the sides of the triangle.
However, based on the information you provided (9, 12, 15), we can make some assumptions.
If we assume that the triangle is a right triangle, with side lengths of 9, 12, and 15, we can use the Pythagorean theorem to find the missing side lengths. The side lengths satisfy the Pythagorean theorem: 9^2 + 12^2 = 15^2.
Using these assumptions, we can calculate the values of sin D, sin E, cos D, and cos E. Since angle D is opposite side 9 and angle E is opposite side 12, we have:
sin D = 9/15 = 3/5
sin E = 12/15 = 4/5
cos D = 12/15 = 4/5
cos E = 9/15 = 3/5
Please note that these values are based on the assumption of a right triangle with side lengths of 9, 12, and 15.
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Complete question: Find Sin D, Sin E, Cos D, And Cos E. Write Each Answer As A Fraction In Simplest Form. 9 12 15 E Sin D = Sin E= Cos D= Cos E.
27x +33>58x-29 I need help solving
The given inequality is
\(27x+33>58x-29\)To solve this inequality we will move the term x from the left side to the right side and the numerical term from the right side to the left side
Subtract 27x from both sides
\(\begin{gathered} 27x-27x+33>58x-27x-29 \\ 33>31x-29 \end{gathered}\)Now, add 29 to both sides
\(\begin{gathered} 33+29>31x-29+29 \\ 62>31x \end{gathered}\)Divide both sides by 31 to find x
\(undefined\)A pair of jeans at a local retail store has a cost of $32.00. If the sales tax is 5.3%, what is the total amount paid for the jeans?
The total amount that a customer will pay for the jeans is $33.696.
How to calculate the value?From the information given, pair of jeans at a local retail store has a cost of $32.00. If the sales tax is 5.3%,
The value of the sales tax will be:
= Sales percentage × Amount
= 5.3% × $32
= $1.696
The total amount paid will be:
= Cost + Tax
= $32 + $1.696
= $33.696
The amount is $33.696.
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a nutritionist wanted to find out if coffee and tea, as served in restaurants, differed in caffeine content. she went to 30 restaurants. in 15 randomly selected restaurants, she ordered coffee; in the other 15 restaurants, she ordered tea. what statistical test should the nutritionist use to see if coffee and tea differ in mean caffeine content?
The nutritionist should perform hypothesis testing followed by Independent T-test to see if coffee and tea differ in mean caffeine content .
We need to Know about Hypothesis testing and independent t test to answer this-
Hypothesis testing is a type of statistical test that is used to comapare data and drawing conclusion from them.
An independent t-test is a statistical test that determines whether the means of two unrelated groups are significantly different from each other.
We can find the difference caffeine content following these steps -
1)H0=Null hypothesis=tea and coffee has same caffeine level
HA=tea and coffee has different caffeine level
2)The independent samples t-test is utilized to determine whether two different sample means come from the same population or whether they come from two distinct populations with different mean values. Two populations can be considered independent when the data in one group is not connected to the data in the other group.
The t value obtained should be then performed under hypothesis testing.
3)And the calculated T value should be comaperd with the desired significance level (generally =0.05) and if the t value comes in between the critical values the nutritionist can assume that both tea and coffee has same caffeine level in this null hypothesis will be accepted.
Whereas if the calculated t value doesn't falls in between the critical value then the nutritionist can assume that tea and coffee has different caffeine level.
Hence null hypothesis will be rejected.
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Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)
Answer: 300
Step-by-step explanation:
Based on the information given in the question, the number of participants in the study will be calculated thus:
The number if letters in the set are 8 from A - H. This means that there are 8 ways to choose 3 letter when the ordering matters.
This will be:
= 8!/(8 - 3)!
= 8 × 7 × 6
= 336
Since 36 sequences were not assigned, therefore the numbers that were assigned will be:
= 336-36
= 300.
There were 300 participants.
Which expression is equivalent to (q6)2
Answer:
C
Step-by-step explanation:
Edge 2021 algebra 2 quiz :)
Answer:
C
Step-by-step explanation:
UNIT TEST FROM BENITO MIDDLE SCHOOL MRS STEVENS
Find the value of x if x, x+1 and x+2 are sides of a right triangle.
We have the sides of a triangle: x, x+1, x+2.
The Pythagorean Theorem tells us that, in a right triangle, the following expression is true:
c^(2) = a^(2) + b^(2)
Let be the sides (legs of the triangle) x and x+1.
Then:
(x+2)^2 = x^(2) + (x+1)^2
We need to expand this:
x^(2) +4x + 4 = x^(2) + x^(2) +2x + 1
Rearrange the previous expression (grouping similar terms):
4x - 2x + 4 - 1 = 2x^(2) - x^(2)
2x + 3 = x^(2)
x^(2) - 2x - 3 = 0 [1]
Which is a quadratic equation. We need to find the values for this equation.
We can solve this equation using the quadratic formula and other methods.
One of the methods is as follows: we need to find two values that if we sum them, we obtain -2. If we multiply them, we obtain -3. Then, 1 -3 =-2 (-2x) and 1*(-3) = -3 (independent term).
The values for x are x = -1 or x = 3.
Since x = -1 is a negative number, it does not have sense. Therefore, the right value for x is 3 (x = 3).
The values for the sides of the right triangle are then:
x = 3, x+1 = 3+1 =4, x+2 = 3+2 =5 or
3, 4, 5.
Subtract a+b from a-b
Answer:
0
Step-by-step explanation:
EX: a=4
b=2
4-2-4+2=0
Tina has 31 nickels, dimes, and quarters in her purse. She has 5 more nickels than the total number of dimes and quarters. If the total value of the coins is $3.25,how many of each coin does Tina have in her purse? Write and solve a system to determine the number of coins.
Tina has 8 dimes, 5 quarters, and 18 nickeIs in her purse.
What is an Equatiοns?Equatiοns are mathematicaI statements with twο aIgebraic expressiοns οn either side οf an equaIs (=) sign. It iIIustrates the equaIity between the expressiοns written οn the Ieft and right sides.
Tο determine the vaIue οf a variabIe representing an unknοwn quantity, equatiοns can be sοIved. A statement is nοt an equatiοn if there is nο "equaI tο" symbοI in it. It wiII be regarded as an expressiοn.
SimpIifying, we get:
15x + 20y = 220
3x + 4y = 44
We nοw have a system οf twο equatiοns:
x + y = 13
3x + 4y = 44
We can sοIve this system using substitutiοn οr eIiminatiοn. Fοr simpIicity, Iet's use substitutiοn. SοIving the first equatiοn fοr x, we get:
x = 13 - y
Substituting this expressiοn fοr x in the secοnd equatiοn, we get:
3(13 - y) + 4y = 44
SimpIifying, we get:
39 - 3y + 4y = 44
y = 5
Substituting y = 5 in x + y = 13, we get:
x + 5 = 13
x = 8
Therefοre, Tina has 8 dimes, 5 quarters, and 18 nickeIs in her purse.
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Use the model below to calculate 2 3 × 3 4 2 3 × 3 4 . A rectangle is shown divided into 3 rows and 4 columns. 3 of the 4 columns are shaded blue.
Answer:
D
Step-by-step explanation:
Sports City is having a blowout sale on sports equipment. You have a total of $450 to spend. What discount would have to be offered in order for you to afford a set of golf clubs regularly priced at $600 plus 15% sales tax? Make sure you show all of your work and explain your process.
Answer:
34.8%
Step-by-step explanation:
$600+15%
=600+15/100*600
=600+90
=$690
You have $450 and you want to purchase a product of $690(regular price+sales tax)
$690-$450
=$240
Percentage of $240 discount
=240/690*100
=34.78%
Approximately 34.8%
What is the property of 3x-6=x+4
Answer:
5
Step-by-step explanation:
3x-x=4+62x=10X=10/2X=5Find m in the diagram please.
Use csc (90) = 10/m.
So, m = 10/csc(90).
m = 8.93997
Answer:
m = 8
Step-by-step explanation:
Here's your solution
=> in traingle DHF and traingle EGF
we have angle DHF and EGF = 90°
and angle F is common , so both traingle are similar by AA similarity
=> 12/m = 15/10
=> m = 120/15
=> m = 8
hope it helps and your day will be full of happiness
The length of a rectangular garden is 6 m greater than the width. The area is 91m^2. Find the dimensions of the garden.
The dimensions of the rectangular garden are width = 7 m and length = 13 m. The width is 7 m and the length is 6 m greater than the width, resulting in an area of 91 m².
To find the dimensions of the garden, let's denote the width as 'w' and the length as 'l'. According to the problem, the length of the garden is 6 m greater than the width, so we can write the equation l = w + 6.
The area of a rectangle is calculated by multiplying its length and width, so we have the equation l * w = 91.
Substituting the expression for length from the first equation into the second equation, we get (w + 6) * w = 91.
Expanding the equation, we have \(w^2 + 6w = 91\).
Rearranging the equation to the standard quadratic form, we have w^2 + 6w - 91 = 0.
Factoring or using the quadratic formula, we find that the possible values for w are w = -13 or w = 7.
Since the width cannot be negative, we discard the solution w = -13.
Therefore, the width of the garden is w = 7.
Using the first equation l = w + 6, we find the length l = 7 + 6 = 13.
Hence, the dimensions of the garden are width = 7 m and length = 13 m.
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help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The rocket shows up at its overall insane level at 1.5 seconds after farewell will be 39 feet.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A toy rocket is shot upward up high from a take-off platform 3 feet over the ground with an underlying speed of 48 feet each second. The level h, in feet, of the rocket over the ground at t seconds after send-off is given by the capability h(t) = - 16t² + 48t + 3.
Differentiate the function and put it equal to zero.
h'(t) = 0
-32t + 48 = 0
32t = 48
t = 1.5 seconds
Then the maximum height is given as,
h(1.5) = - 16(1.5)² + 48(1.5) + 3
h(1.5) = 39 feet
The rocket reaches its maximum height at 1.5 seconds after launch will be 39 feet.
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WILL GIVE BRAINLIEST, ANSWER ONE OR BOTH I DONT CARE JUST PLSSS HELP
Answer:
35.) 50
36.) 58.7
Step-by-step explanation:
According to a securities commission officer, the use of insider knowledge has benefited 65 percent of all investment bankers. Assume that 25 investment bankers from the commission's registry are chosen at random. How many investment bankers are expected to have benefitted from the exploitation of insider information? Select one: a. 15.56 b. 16.25 c. 11.68 d. 12.81
the expected number of investment bankers who have benefited from the exploitation of insider information is approximately 16.25.
The closest option is b. 16.25.
If 65% of all investment bankers have benefited from insider knowledge, it implies that the probability of an investment banker benefiting from insider information is 0.65.
Out of the 25 randomly chosen investment bankers, we can expect that approximately 65% of them would have benefited from insider information.
Therefore, the expected number of investment bankers who have benefited is calculated as follows:
Expected number = Probability of benefiting * Total number of investment bankers
Expected number = 0.65 * 25
Expected number ≈ 16.25
Therefore, the expected number of investment bankers who have benefited from the exploitation of insider information is approximately 16.25.
The closest option is b. 16.25.
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What is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft.
The value of r is 4 feet, the correct option is A.
What is the area of the circle?
The area of a circle is the region occupied by the circle in a two-dimensional plane.
Given
The area of circle Z is 64 ft2.
According to the following formula, we must find the radius of the circle:
\(\rm r =\sqrt{\dfrac{Area}{\pi }}\)
Substitute all the values in the formula
\(\rm r =\sqrt{\dfrac{Area}{\pi }}\\\\\rm r =\sqrt{\dfrac{64}{3.14}}\\\\\rm r =\sqrt{20.38}\\\\r=4.5\)
Hence, the value of r is 4 feet.
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A moving company charges $22.50 per hour plus a flat rate of $180 to help a person move from one house to another.
Joel would like to spend less than $315 to move.
How much time should Joel's move take to make sure the total cost is below $315?
Tony has 1.44 lb of cheese. He needs 0.08 lb of cheese for one sandwich. How many sandwiches can he make?
Total weight of cheese = 1.44 lb
Weight of cheese for one sandwich = 0.08 lb
Number of sandwiches you can make from 1.44 lb
= 1.44/0.08
= 18 sandwiches
a car starts from a point at 2:00 p.m. and travels north at 40 mph. another car starts from the same point at 3:00 p.m. and travels west at 50 mph. after the second car has traveled 1 h, at what rate is the distance between the two cars changing?
The distance between the cars changes by 60.42mph.
What is distance?Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Through dimensions like time, space, and isolation, an object may be psychologically distanced from itself.
Calculations:
\(d=\sqrt{80^{2}+50^{2} } \\\)
d=94.34
1st car -- 40mph/hr
2nd car-- 50 mph/hr
The positions of cars at 4pm
Distance travelled by 1st car = 80m
Distance travelled by 2nd car = 50m
\(d^{2}=a^{2} +b^{2}\)
2d.dd/dt=2a(da/dt) +2b(db/dt) =d(dd/dt) =a(da/dt)+b(db/dt)=94.34(dd/dt)=50*50+80*40
dd/dt=(2500+3200)(94.34) =60.419
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Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A'B' . What is the length of A'B' ? (50 points)
2 units
3 units
4 units
5 units
Answer:
5 units is the correct answer
Step-by-Step Explanation:
the translation of ab is a rigid transformation so, the size of the preimage and the size of the image are equal therefore,
ab=a'b'
the length of a'b' is 5 units which is option d.
Find the magnitude of the vector that begins at (1,1) and ends at (-8,12).
a. 15.81
b. 14.76
c. 14.21
d.04
Answer the answer is a 15.81
Step-by-step explanation:
if you flip 100 coins what is the probability of 50 being heads and 50 being tails
Answer:
1/2
Step-by-step explanation:
it is going to be 1/2 because you you have a 1 out of 2 chance of getting heads or
tails on any of them.
Answer:
if you
flipped a coin 100 times you saw the ratio of head and tails to be 50/50. They created a diagram of all the flips. There was a lot of flip-flopping between heads and tail.
Step-by-step explanation:
If it is 78°F in Memphis and -14°F
in Junaeu, what is the temperature
difference between the two cities?
Answer:
There is a 92°F difference between the two cities.
Step-by-step explanation:
Since you are finding the difference of temperatures between the two cities, you need to subtract -14 from 78. It looks like 78-(-14). Since you are subtracting a negative number, the equation becomes 78+14. 78+14 is 92.
Guys pls help me!!!!!!
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you