Answer:
1/2
Step-by-step explanation:
-1(15+4-27)/16
Add 15 and 4 to get 19.
Now you have -1(19-27)/16
Subtract 27 from 19 to get −8.
-1(-8)/16
Reduce the fraction 16/−8 to lowest terms by extracting and canceling out 8.
-(-1/2)
Simplify
1/2
Answer:
1/2
Step-by-step explanation:
⁻¹⁽¹⁵⁺⁴⁻²⁷⁾⁄₁₆
Calculate:
-(15 + 4 - 27) / 16
-(19-27)/16
-(-8) / 16
= 8/16
Simplify:
= 1/2
If the lowest price in the past year occurred 35 days ago, find the approximate average change per day since then. a. $2.08 b. $2.64 c. $0.90 d. $2.99
The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.
How to find the approximate average change?The approximate average change can be found by the formula :
= ( Current price of stock - Lowest price ) / Number of days since lowest price
Current price of Dagofi Radar stock = $ 130. 58 closing price
Lowest price = $ 57. 71
The approximate average change is:
= ( 130. 58 - 57. 71) / 35
= 72. 87 / 35
= $ 2.08
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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.
52 wk High
52 wk Low
Symbol
Div.
Close
Net Change
162.22
57.71
DFR
9.75
130.58
-2.64
The bill for two book came to $28. 48. One book cot $7. 44. What wa the cot of the other one
Answer:
Step-by-step explanation:
Ok:
If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price
2. 28.45-7.44=$21.01
3. Answer: The cost of the other one is $21.01
Need help ASAP
2^7x2^-2 +2^9/2^4 +2^3/2^-2
Show that C = a×2^b where a and b are two integers to be determined
The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14
What are laws of exponents?
Laws which are used to solve the problems including the exponents are called laws of exponents
Solution:
As we can clearly see in whole expression 2 is present in every term
By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b
When we solve this expression we get
this expression equal to 2^15
which we can write 2×2^14
hence on comparing we get a = 2 and b = 14
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Help I don't know how to do this
Answer:
Step-by-step explanation:
a(n) = a(1) + (n-1)d
a(n) = -9 + (n-1) x (-6-(-9)
a(n) = -9 + (n-1) x (-6 +9)
a(n)= -9 + (n-1) x 3
a(n) = -9 + 3n - 3
a(n) = 3n - 12
a(30) = 3 x 30 - 12
a(30) = 90 - 12
a(30) = 78
7(x-1)=3x+2 in a improper fraction
Answer:x=9/4 nine over 4 for improper fraction I hope this is helpful mark me brainlist if this sounds good
Step-by-step explanation:
7(x-1)=3x+2
Distribute through the parentheses
7x-7=3x+2
Move the variable to the left-hand side and change its sign
7x-7-3x=2
or Move the constant to the right-hand side and change its sign
7x-7-3x=2
Collect like terms
4x=2+7
And then Add the numbers
4x=9
Divide both sides of the equation by 4
x=9/4
Mixed number is 2 1/4
Identify the sampling technique used in the given scenario. The English department is interested in overall performance in its entry-level 101 course. The department chair selects every tenth student's final grade from a list of all students enrolled in the course and calculates the average final grade.
The sampling technique used in the given scenario is Systematic sampling technique.
Systematic sampling technique
Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.
Types of Systematic sampling technique
A systematic sample can be generated in three ways:
Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.
Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.
Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.
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jadaa maake 55 ccups of blueberry jam and divided the jam equally amoung 4 containers how much jam went in each container a 2t third of a cup b 1 cup c 3over 2 of a cup and d 24 cups
When the denominator is bigger than the numerator, a fraction is expressed as one with a numerator and a denominator. 55 cups of jam divided equally into 4 containers yields 13.75 cups per container. 13.75 cups of jam are contained in each container.
What is a fraction?When the denominator of a fraction is greater than the numerator, the fraction is expressed as a pair of numbers. A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A proper fraction has a numerator that is lower than its denominator. Example: 1/2, 1/3 is a fraction.We have,
55 cups of blueberry jam were produced by Jada, who then evenly distributed the jam across 4 containers.
jam content of each container.
= 55 cups / 4 container
= 13.75 cups / 1 container
This indicates that there are 13.75 cups of jam in each container.
55 cups of jam are divided into 4 equal containers in this manner.
13.75 cups / 1 container
The amount of jam in each container is 13.75 cups of jams.
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I need help with 9 10 and 11
Examine the table, which represents the number of guests visiting a museum during a period of time.
If the relationship between hours and guests is proportional, what is the value of h?
Enter your answer as a number, like this: 42
Answer:
7
Step-by-step explanation:
649-531=118
We know that there are 118 more guests per hour.
Divide 826 by 118 to get 7.
Answer: 7
Step-by-step explanation:
The first line of the table is 2 and 236 if you divide 236 by 2 you get 118
Then after that you times it by any number after 5.5 until you get 826.
8
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales. She worked 40 hours last week and sold 36,000 in cars. What
was Rachel's total income last week?
Type your answer...
I need the answers
Rachel's total income is $13320.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.
Commission = 9 x 0.04 = $0.36
Commission on 36000 cars = $12960
By working 40 hours he earn = 9 x 40 = $360
Hence, the total income = 360+ 12960 = $13320
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Which relation is a function?
Select all that apply.
Responses
{(2, 1), (2,3), (3, 4), (4,5)} {(2, 1), (2,3), (3, 4), (4,5)}
{(2, 1), (−2,1), (3, 2), (4,2)} {(2, 1), (−2,1), (3, 2), (4,2)}
{(−1, 2), (−2,2), (−3, 2), (−4,2)} {(−1, 2), (−2,2), (−3, 2), (−4,2)}
{(2, 1), (2,3), (−2, 5), (−2,7)} {(2, 1), (2,3), (−2, 5), (−2,7)}
{(2, 2), (3,3), (4, 4), (5,5)}
The relations which are functions as required to be identified in the task content are;
{(2, 1), (−2,1), (3, 2), (4,2)} {(−1, 2), (−2,2), (−3, 2), (−4,2)}{(2, 2), (3,3), (4, 4), (5,5)}Which relations are functions among the given answer choices?It follows from the task content that the relations which are functions among the given answer choices are to be identified.
Since the definition of a function is such that; a function is a special kind of relation in which case only one output value is assigned to each input values.
Put simply, a function has only one output value for each input value.
Therefore, it follows from the definition above that the relations which are functions among the given answer choices are as listed above.
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A mountain climber found that the relationship between his altitude and the surrounding air temperature is linear. The function
represents this relationship, where is the altitude in meters and is the temperature in degrees Fahrenheit. According to this function, by how much is the temperature decreasing for every meter that the mountain climber’s altitude increases?
The temperature decrease for every meter that the mountain climber's altitude increases is given by:
-100 ºF.
What is the temperature decrease?The function that models this situation is a linear function, which has the format defined as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope of the function, representing by how much y changes when x is increased by one.b is the y-intercept of the function, representing the numeric value of y when x = 0.In the context of this problem, the function is defined as follows:
f(a) = -100a + 75.
Hence the slope of the function is of:
-100.
Representing the temperature decrease for each meter of altitude increase of the climber.
Missing InformationThe function is defined as:
f(a) = -100a + 75.
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Solve for x:
7x(x+1. 8)=0
Need help ASAP.
Answer is not x=-1. 8 or x=0
Answer:
Step-by-step explanation:
x = -9/5 = -1.800 or
x = 0
Line l Intersects line m. Find the value of a,b, x. Give reasons
The angles in the intersected lines are as follows:
a = 80 degreesb = 80 degreesx = 92 degreesHow to find angles when lines intersect?When lines intersect angle relationships are formed such as vertically opposite angles, linear angles etc.
Angle a is vertically opposite to angle b.
Vertically opposite angles are congruent.
Therefore,
∠a ≅ ∠b
Hence,
x + 8 = 100(vertically opposite angles)
x = 100 - 8
x = 92
b + x + 8 = 180(sum of angles on a straight line)
b + 92 + 8 = 180
b = 180 - 100
b = 80 degrees.
Hence,
a = 80 degrees
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solve the system of equations using any method
3x-3= y
6x-5y=12
(please i need help im begging you)
Answer:
(1/3, - 2)-------------------------------
Given system3x - 3 = y6x - 5y = 12Solve by substitution6x - 5(3x - 3) = 126x - 15x + 15 = 12- 9x = 12 - 15- 9x = - 3x = - 3 / - 9x = 1/3Find y:
y = 3 * 1/3 - 3y = 1 - 3y = - 2evaluate the given integral by changing to polar coordinates. sin(x2 y2) da r , where r is the region in the first quadrant between the circles with center the origin and radii 1 and 3
Using polar coordinates, the result for integral is - 0.448[tex]\pi[/tex]
What is polar co-ordinates?
In arithmetic, the polar coordinate system may be a two-dimensional organization within which every purpose on a plane is set by a distance from a indicator and an angle from a reference direction.
Main body:
The most used relation for polar coordinates is:
[tex]x^{2} +y ^{2} =r^{2}[/tex]
An integral in Cartesian coordinates is converted to polar using:
[tex]\int\int{f(x,y)} \, dA = \int\int{ f(r, \beta )d\beta[/tex]
In this problem:
f(x,y) = sin [tex]x^{2} +y^{2}[/tex]
thus
f(r,[tex]\beta[/tex]) = sin[tex]r^{2}[/tex]
Region between the circles with center at the origin and radii 1 and 3, thus the inner limits of integration are r =1 and r =3.
First quadrant, thus, the outer limits of integration are: [tex]\beta[/tex] = 0,[tex]\beta[/tex] = [tex]\pi /2[/tex].
The polar integral is:
I = [tex]\int\limits^3_1 {sinr^{2} r} \, dr[/tex]
Using substitution:
u =[tex]r^{2}[/tex] ⇒ du = 2rdr⇒ dr = du /2
I = 1/2[tex]\int\ {sin u} \, du[/tex]
= -[tex]cos r^{2[/tex] /2 where limits are 3, 1
Applying the fundamental theorem of calculus:
I = [tex]-cos 5^{2} /2[/tex][tex]-cos1^{2}/2[/tex]
I = - 0.996
Then, the outer integral is:
O =[tex]\int\limits^\pi _0 {-0.996} \, d\beta[/tex]
O= - 0.448[tex]\pi[/tex]
Hence the result for integral is - 0.448[tex]\pi[/tex]
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The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?
Answer:
hi do you mind making the question a bit clear? where is the table?
Step-by-step explanation:
what is the ratio of cups to flour to eggs
Answer:
Step-by-step explanation:
Answer= use 2 eggs per 1 cup of flour to make 1 serving.
What is the domain of the function
f(x) = 2x + 3
when the range is {3, 5, 9}?
Answer:
Domain: {9, 13, 21}
Step-by-step explanation:
BRAINLIEST PLEASE!!!Answer:
(0,1,3)Step-by-step explanation:
f(x)=2x+3let y= f(x)y=2x+3interchanging x and y in the expression x=2y+3making y the subject in the equation y=(x-3)/2f(x)-¹=(x-3)/2when x= 3 =(3-3)/2 =0when x=5 =(5-3)/2 = 1when x= 9 =(9-3)/2 = 3Student are going on a field trip to a play. The play i elling kid ticket and adult ticket. They old a total of 60 ticket. One kid ticket ell for $3 while the adult ticket i $5. They made a profit of $220 that day. How many kid ticket were old?
Number of kids ticket is 40
What do you mean by system of linear equation?
A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.
Total number of tickets = 60
Cost of 1 kid ticket = $3
Cost of 1 adult ticket = $5
Total profit = $220
Let number of kid tickets = x
number of adult tickets = y
According to question:
x + y = 60 ......(1)
3x + 5y = 220 ........(2)
Substitute the value of x from eq(1) to eq(2)
3(60 - y) + 5y = 220
180 - 3y + 5y = 220
180 + 2y = 220
2y = 220 - 180
2y = 40
y = 40/2
y = 20
Substitute this value of y in eq(1)
x + 20 = 60
x = 60 - 20
x = 40
Therefore, number of kids ticket is 40
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5) Simplify the expression and identify any restrictions on x.
Answer:
attached in the file
Michael swam 2,000 yards on each of eighteen days.
The scatterplot above shows his swim time for and
corresponding heart rate after each swim. The line of
best fit for the data is also shown. For the swim that
took 34 minutes, Michael's actual heart rate was
about how many beats per minutes less than the rate
predicted by the line of best fit?
A) 1
B) 2
C) 3
D) 4
Michael's actual heart rate was about 2 beats per minutes less than the rate predicted by the line of best fit. The correct option is B
What is a scatterplot?A scatterplot is a data visualization that depicts the relationship between two numerical variables. Each dataset member is plotted as a point whose x-y coordinates correspond to its values for the two variables.
On each of the eighteen days, Michael swam 2,000 yards. The scatterplot above depicts his swim time and heart rate after each swim. The data's best fit line is also shown.
From the graph the actual heart rate=150
but calculated heart rate from best fit line=148
Difference between actual and calculated=150−148=2
Option B is correct.
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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
7.9
Step-by-step explanation:
Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.
Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?.
The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.
(-3 1/4d + 3/5) - (2 7/8d + 7/10)
⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10
⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10
⇒ (-13/4 - 23/8)d + 6/10 - 7/10
⇒ (-26/8 - 23/8)d - 1/10
⇒ -49/8 d - 1/10
Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x)=1.2²-600x+82,738. What is the minimum unit cost?
Do not round your answer.
The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
What is meant by unit cost?A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.
A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.
Given,
C(x)=1.2x²-600x+82,738
Minimum value [tex]C_{min}[/tex]=c-(b²/4a)
Where a=1.2, b=-600, c=82738
[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))
=82738-(360000/4.8)
=7738
Therefore, the minimum unit cost is 7738.
Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
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if the mean and mode are 15 and 10, respectively, then determine the potential range of the median for a positively skewed distribution
The median will be greater than 10 and less than 15.
Given,
The mean of the skewed distribution = 15
The mode of the skewed distribution = 10
We have to find the potential range of the median for a positively skewed distribution;
Here,
The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.
Therefore,
The median will be higher than 10 and lower than 15.
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help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
a. [tex]123.1(1.069)^3 \approx 150.4[/tex]
b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]
please help!! easy question but cant seem to figure out
Viv and Ian were trying to describe parts of the expression 5(x+7)
Viv said, "The entire expression is the product of 3 factors."
Ian said, "On its own, (x+7) sum with 2 terms."
The expression 5(x + 7) has a sum of two terms 5x and 35.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, an expression 5(x + 7).
Now distributing 5 to x and 7 we get 5x + 35.
So, The expression 5(x + 7) has the sum of two terms.
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a penny is thrown from the top of a 52.6-meter building and hits the ground 3.31 seconds after it was thrown. the penny reached its maximum height above the ground 0.85 seconds after it was thrown. define a quadratic function, h , that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
The quadratic function which models the motion of the penny is
h(t) = -4.9t² -0.327761 t + 52.6
and the maximum height reached is 57.43
h(t) = - 0.5gt² + vt + h
g = 9.8 m/s²
h = 52.6 m
v = ?
For v,
h(t) = -0.5gt² + vt + 52.6
h(t) = - 4.9t² + vt + 52.6
Time when penny hits the ground ; t = 3.31
h(3.31) = 0
0 = -4.9(3.31)² + v(3.31) + 52.6
0 = -53.68489 + 3.31v +52.6
3.31v = -1.08489
v = -1.08489/3.31
v = -0.327761 m/s
Therefore,
h(t) = -4.9t² -0.327761 t + 52.6
2.) Maximum height of the penny above the ground
t = 0.85 seconds
h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6
Maximum height reached = 57.43 meters
Therefore, the maximum height reached is 57.43 meters.
An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.
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The graphs of functions f(x) and g(x) = f(x) + k are shown: Graph of line f of x going through ordered pairs 0, 1 and 2, 6. Graph of line g of x going through ordered pairs 0, negative 1 and 2, 4. What is the value of k? a k = 2 b k = −2 c k = 1 d k = −1
Based on the graphs of functions f(x) and g(x) = f(x) + k, the value of k is: B. k = -2.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Since the graph of the line for function f(x) passes through the ordered pairs (0, 1) and (2, 6), its y-intercept is given by:
y = f(0) = 1.
Since the graph of the line for function g(x) passes through the ordered pairs (0, -1) and (2, 4), its y-intercept is given by:
y = g(0) = -1.
From the information provided above, we have the following function:
g(x) = f(x) + k
g(0) = f(0) + k
Making k the subject of formula, we have:
k = g(0) - f(0)
k = -1 - 1
k = -2.
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