Step-by-step explanation:
the distance can be seen as Hypotenuse of a right-angled triangle with its legs being the x and y coordinate differences.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (-10 - -3)² + (-9 - 8)² = (-7)² + (-17)² = 49+289 =
= 338
distance = sqrt(338) = sqrt(2×169) = 13×sqrt(2) =
= 18.38477631...
Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84Five students sold tickets for a fundraiser. The median is 46, the range is 20, and the mode is 38. Make a possible list of the number of tickets each student sold.
Answer:
38 38 46 47 58
Step-by-step explanation:
46 must be 3rd element as it is median
38 must be first and second element as it is less than the median and there is more than one 38
58 must be the last element as it is 20 more than 38
for the fourth element, it can be any number between 46 and 58, i put 47 as a possible number
PLEASE WILL NAME BRAINLIST
The table shows the length y (in inches) of a person’s hair after x months.
months x: 0 3 6
hair Length y:11.0 12.5 14.0
a. Write and graph a linear function that relates y to x .
y=
b. Interpret the slope and the y-intercept
The slope indicates that the hair length increases by what
inch per month. The y-intercept indicates that the initial hair length is what
inches.
Log20x=3 need the answer for algebra 2
Answer:
x = 50
Step-by-step explanation:
Simplify the expression.
the quantity negative 1 over 8 times r minus 5 minus 1 over 6 times r end quantity minus the quantity negative 6 over 8 times r plus 3 end quantity
negative 8 over 14 times r minus 2
11 over 24 times r plus negative 2
negative 4 over 14 times r minus 8
11 over 24 times r plus negative 8
The correct option is option (d).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given term is,
((-1/8)×r-5-(1/6)×r)-(-(6/8)×r+3)
Simplify this term,
= -r/8-5-r/6+3r/4-3
=-7r/24+3r/4-8
=-11r/24-8
=(-11/24)r+(-8)
The simplified term is (-11/24)r+(-8).
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Answer:
D) 11 over 24 times r plus negative 8
Ms. Harriot is paid an annual salary of 1.8 million dollars. What is her gross
monthly salary? *
Х
Probability with discrete random variables
A furniture factory makes a 4-piece desk. Quality control at the factory has randomly sampled numerous desk
sets and determined the number of damaged pieces in each set.
The table below is a partially completed probability distribution for the random variable X, where X represents
the number of damaged pieces in a randomly selected desk set from this factory.
X
0
1
2
3
4
P(X) 0.75
0.14
0.07
0.03
?
What is the probability that a randomly selected desk set contains exactly 4 damaged pieces?
P ( X = 4) =
Show Calculator
Answer:
0.01
Step-by-step explanation:
On khan
p(x)=x-3
g(x) = 2x-5
Find the following.
(p ° q)(5)= and (q ° p)(5)=
Answer:
(p∘q)(5) = 2
(q∘p)(5) = -1
Step-by-step explanation:
The composition of functions can be written a little differently, perhaps making it easier to understand.
(p∘q)(x) = p(q(x))
(p∘q)(5) = p(q(5)) = p(2·5 -5) = p(5) = 5 -3
(p∘q)(5) = 2
__
(q∘p)(5) = q(p(5)) = q(2) = 2·2 -5
(q∘p)(5) = -1
In each diagram, line f is parallel to line g, and line t intersects lines f and g
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
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d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (3, 2) and point (5, 4) rounded to nearest 10th
Hey again I need some help I would really appreciate it
Answer:
127 degree
Step-by-step explanation:
because angle 6 is alternate to 127 degree. Alternate makes a=b which is angle 6 is equal to 127 degree
Kite DCFE is inscribed in circle A shown below:
Kite DCFE is inscribed in circle A
If the measure of arc DEF is 266°, what is the measure of ∠DEF? (5 points)
Answer:
m<DEF = 47°
Step-by-step explanation:
Given:
m(DEF) = 266°
Required:
m<DEF
Solution:
m<DCF = ½(m(DEF)) (Inscribed angle theorem)
Substitute
m<DCF = ½(266°)
m<DCF = 133°
Opposite angles in an inscribed quadrilateral are supplementary.
Therefore,
m<DEF = 180° - m<DCF
m<DEF = 180° - 133°
m<DEF = 47°
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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A
The bases are the same size and shape and perpendicular to each
other.
B
The bases are a different size and shape and parallel to each other.
с
The bases are a different size and shape and perpendicular to each
other.
D
The bases are the same size and shape and parallel to each other.
On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
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Just pleasssssssssss help me.
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
Change 0.12 to a ratio.
Answer:
3:25
Step-by-step explanation:
The photo shows how it's solved.
Answer: 3:25
Step-by-step explanation:
Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator
0.12 = 0.12/1
Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100
------------ = 12/100
1 x 100
Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)
12 ÷ 4
--------- = 3/25
100 ÷ 4
Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:
3
25 = 3:25
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
The battery life on Marco's cell phone decreases
according to the scatterplot below. What is the longest
amount of time Marco could use his phone without
charging it?
Answer:
The longest amount of time that Marco could use his phone without changing the battery is given as follows:
3.3 hours.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses tbe y-axis.In 5 hours, the battery fell from 50% to 20%, hence the slope is given as follows:
-30/5 = -6% an hour.
The battery is currently at 20%, hence the time that Marco could use the phone without charging it is given as follows:
20/6 = 3.3 hours.
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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
The value of log 3 5 × log 25 9 is
The value of \(log_35 \times log_{25}9\) is 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
\(log_35 \times log_{25}9\)
\(log_ab = \frac{logb}{loga}\)
So,
= log 5 / log 3 x log 9 / log 25
= log 5 / log 3 x log 3² / log 5²
\(logm^n = n~logm\)
So,
= log 5 / log 3 x log 3² / log 5²
= (log 5 / log 3) x (2 log 3 / 2 log 5)
= (log 5 / log 3) x (log 3 / log 5)
= 1
Thus,
1 is the value.
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How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Help its due today and I'm stuck on this question
Convert 75 gram per cm 3 to pounds per cubic inch (round to nearest tenth) [ 1 pound = 0.4536 kg] [ 1 cm = 0.3937 in] [ 1 kg = 1000g] (Show your work)
2.07 pounds/in 3
1.7 pounds/in 3
2.7 pounds/in 3
3.2 pounds/in 3
Answer:
It’s 2.07 pounds/in 3
Step-by-step explanation:
1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
SIX LESS THAN TWICE A NUMBER, X, IS 38 WHAT IS THE VALUE OF X
Answer:
17
Step-by-step explanation:
first write the equation:
twice a number x is 2x
six less is -6
so equation is 2x - 6 = 38
solve for x:
2x = 34
x = 17
Answer:16
Step-by-step explanation:
The local hunt club wanted an estimate of how many deer were in their county. They captured, tagged, and released 75 deer. Then they captured 55 deer, of which 15 were tagged. How many deer are in their county?
7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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9.7 times 10^6 plus 6.7 times 10^5 in scientific notation
pls simplify 9a+3b-4a-2b
Answer:
its 5a+b don't report my answer because its correct
Step-by-step explanation:
Answer:
5a+b
Step-by-step explanation: