When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
Given,
Number of females = 2268
Consider the total number students as x
Percentage of male = 58%
Then the equation will become
x-2268= x×[tex]\frac{58}{100}[/tex]
x-2268=0.58x
x-0.58x=2268
0.42x=2268
x=5400
Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
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Tom kept track of the number of hours that he spent playing hockey each week for several weeks. He spent 4, 6, 4, 7, and 4 hours. What is the range of the data set? 4 hours 25 hours 5 hours 3 hours 12 of 26 QUESTIONS STUDARITY M
Answer: The answer is D 6 hours
Step-by-step explanation:
8.024 as a fraction in the lower form
Answer:
8 3/123
Step-by-step explanation:
8024/1000 = 103/125 = 8 3/125
Answer: 8³/₁₂₅
Step-by-step explanation:
[tex]\displaystyle\\8.024=\\\\8\frac{24}{1000}=\\\\ 8\frac{3*8}{125*8}=\\\\8\frac{3}{125}[/tex]
How would you write the following expression as a single term?
Using logarithm properties, the expression written as a single term is:
[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]
What is the expression and how the write it as a single term?Researching the problem on a search engine, the expression is given by:
3[2ln(x - 1) - ln(x)] + ln(x + 1).
Applying the distributive property, we have that:
6ln(x - 1) - 3ln(x) + ln(x + 1).
Applying the exponential property of logarithms, we have that the expression is:
[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)}[/tex]
The adding terms can be placed inside multiplying, the subtracting dividing, hence:
[tex]\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)} = \ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]
Hence the expression written as a single term is:
[tex]\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}[/tex]
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henry's hamburger heaven offers its hamburgers with the following condiments: ketchup, mustard, mayonnaise, tomato, lettuce, pickles, cheese, and onions. a customer can choose one, two, or three meat patties, and any collection of condiments. how many different kinds of hamburgers can be ordered? (a) 24 (b) 256 (c) 768 (d) 40,320 (e) 120,960
Total number of possible hamburgers is 768
Given,
The number of condiments = 8
Total number of combinations with 8 condiments = [tex]2^{8}=256[/tex]
A customer can choose one, two or three meat patties
Total number of possible hamburgers = 256×3= 768
Hence, the total number of possible hamburgers is 768
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? Question
Which expression is equivalent to this expression?
(-5cd-4)(2cd²)²
O-20c³
O-10c²d-16
-20c²d-16
O-10c³
Submit
The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Consider the expression,
(-5cd - 4)( 2cd²)²
Now let x = (-5cd - 4)( 2cd²)²,
Then,
x = (-5cd - 4)( 2cd²)²
x = ( - 5cd -4 ) × (2c)² × (d²)²
x = ( - 5cd - 4) × ( 4c² ) × d⁴
x = ( -5cd - 4 ) × 4c²d⁴
Using the distributive property,
x = ( - 5cd ) × ( 4c²d⁴ ) - 4 × 4c²d⁴
x = - 20 × c³ × d⁵ - 16 × c²d⁴
x = - 20c³d⁵ - 16c²d⁴
Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
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43) a survey was given asking whether they watch movies at home from netflix, redbox, or a video store. use the results to determine how many people use redbox.
Redbox is used by 136 people.
What is a Venn diagram?A Venn diagram is a popular diagram style that depicts the logical relationship between sets. It was popularized by John Venn in the 1880s. The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach elementary set theory and to illustrate simple set relationships.To find how many people use red boxes:
Given:
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store.
52 only use Netflix62 only use Redbox24 only use a video store16 use only a video store and Redbox48 use only Netflix and Redbox30 use only a video store and Netflix10 use all three25 use none of theseThen,
Number of people who use Redbox = number of people use only use Redbox + use only a video store and Redbox + Netflix and Redbox + use all three= 62 + 16 + 48 + 10= 136136 people use Redbox.Therefore, Redbox is used by 136 people.
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The complete question is given below:
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store. Use the results to determine how many people use Redbox.
52 only use Netflix
62 only use Redbox
24 only use a video store
16 use only a video store and Redbox
48 use only Netflix and Redbox
30 use only a video store and Netflix
10 use all three
25 use none of these
Jack wants to find out which can of pineapples is the Best Buy. He has a choice of four different- sized cans. Which can has the lowest unit price per ounce?
A. 8 ounces for $1.44
B. 10 ounces for $1.62
C. 6 ounces for $1.14
D. 18 ounces for 2.88
( work shown )
Answer:
he chose the option A 8 once for $ 1.44
find lcm 1+ 4x + 4x² - 16x², 1+ 2x - 8x³ - 16x4
Answer:
(-2x+1)x(6x+1)x(1+2x-8x^3-16x*4)
Step-by-step explanation:
find ac if ab =9,ac=x+19,and bc=2x+18.
By solving a linear equation, we can see that the measures of the segments are:
ab = 9ac = 11bc = 2How to find the length of each segment?Here we have 3 collinear points, a, b, and c.
We know that the measures are:
ab = 9
ac = x + 19
bc = 2x + 18
If b is between a and c, then we should have that:
ac = ab + bc
Replacing the measures we get:
x + 19 = 9 + (2x + 18)
Now we can solve this linear equation to find the value of x.
x + 19 = 9 + 2x + 18
x + 19 = 27 + 2x
19 - 27 = 2x -x
-8 = x
Then the measures are:
ab = 9
ac = -8 + 19 = 11
bc = 2*(-8) + 18 = -16 + 18 = 2
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Easy age problems about basic algebra
-5y+3=2(4y+12)
4 x 2 − 2 x − 2 x − 2 = − 1 2
x√x=-x
|x-a|= a2-x2
4 x 2 + 1 − 2 x 2 + 2 = 8
If you drew a line segment from the point when Kiley arrived at the airport to the point when she reached the waiting area near the gate, at what point would the line segment end?
I'll give you more points and brainliest
The required line segment will terminate at the point on the graph where the airports' coordinates (x, y) are placed.
The graph's origin, or (0, 0), will serve as its initial coordinates. Kiley's home is represented by this point. You need to figure out where the line segment would terminate if you were to draw a segment from here that depicts Kiley's automobile travel from her residence to the airport.
What is Coordinate :Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane. Coordinate Plane Meaning. A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Let the airports' coordinates be in this instance (x, y).
Moreover, if the slope of the line segment linking Kiley's home and the airport is m,
The line's equation will now be,
y = mx
c = 0
Because the line is passes from origin (0, 0)
When one of the airport's coordinates is known, another one might be found.
Therefore, the necessary line segment will terminate at the point on the graph where the airports' (x, y) coordinates are placed.
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can you help? [tex]5\sqrt{-27}[/tex]
Answer:
[tex]15\sqrt{3}i[/tex]
Step-by-step explanation:
Negative square roots are complex numbers.
Fast help would be preferred.
Applying the subtraction property of equality, the number that belongs in the green box is of 9.
What is the subtraction property of equality?When we subtract an amount from one side of the equality, the same amount has to be subtracted from the other side of the equality.
In this problem, we have that;
9 is subtracted from the left side of the equality, given by 2p + 9.Hence, 9 also has to be subtracted from the right side of the equality, given by 27.Thus, the number that belongs in the green box is of 9.
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Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
-(2x+6)=4x
Answer:
-(2x+6)=4x
-2x-6=4x
-2x-4x=6
-6x=6
X = - 1
when abby was young her father marked her height on the door frame every month. abby’s father noticed that between the ages of one and three, he could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third. determine her predicted height on her second birthday.
The predicted height on Abby's second birthday is 33 inches
Calculating height
From the question, we are to determine Abby's predicted height on her second birthday
From the given information,
Abby's father could predict her height (in inches) by taking her age in months, adding 75 inches and multiplying the result by one-third
On her second birthday,
Abby is 2 × 12 months = 24 months old
Thus, her height on her second birthday is
(24 + 75) × 1/3
= 99 × 1/3
= 33 inches
Hence, the predicted height on Abby's second birthday is 33 inches
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Solve 0=4+q
Which statement shows the correct justification for the step used to solve the
equation?
O Add 0 to each side.
O Add 4 to each side.
O Subtract 0 from each side.
Subtract 4 from each side.
The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"
Given,
The equation 0=4+q
To solve the equation we have to subtract 4 from each side, then we will get the value of q
0=4+q
0-4=4+q-4
-4=q
So we have to subtract 4 from each side
Hence, The statement shows the correct justification for the step used to solve the equation 0=4+q is "Subtract 4 from each side"
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Why is 3/4 greater then 11/16
Answer:
3/4 is greater
Step-by-step explanation:
If you change them both into decimals. You can see that 3/4 is larger
3/4 = .75
11/16 = .6875
Put in your calculator 3÷4 and 11÷16
Answer:
3/4 is larger because
[tex]\frac{3}{4}[/tex]*[tex]\frac{4}{4}[/tex]=[tex]\frac{12}{16}[/tex] [tex]\frac{12}{16}[/tex] > [tex]\frac{11}{16}[/tex]
Step-by-step explanation:
When making the denominators equal it is clear to see that 3/4 which is equal to 12/16 is greater than 11/16.
f (x)=-x^2+10x find f (-8)
Answer: f(-8)=-144
Step-by-step explanation:
f (x)=-x^2+10x
f (-8)=
-(-8)^2+10(-8)=
-64+(-80)=
-64-80=
-(64+80)=-144
Answer:
Remove each x and put - 8
Step-by-step explanation:
(-8)^2+(10x_8)=-16
if angle a and angle b are supplementary angles and m∠a=x, which expressions represents the number of drgress in angle B? x-180, 180-x, x-90, 90-x
m∠b = 180° - x
That is the expression that represents the number of degrees of angle b.
Which expressions represent the number of degrees of angle B?
Two angles A and B are supplementary only if their measures add up to 180 degrees.
Then we can write the simple equation:
m∠A + m∠B = 180°
In this case, we know that we have two angles a and b that are supplementary, and the measure of angle a is equal to x, where x is a variable, then using the above equation we can write:
m∠a + m∠b = 180°
Replacing the measure of angle a by the variable we get:
x + m∠b = 180°
Solving this for the measure of angle b we get:
m∠b = 180° - x
That is the expression that represents the number of degrees of angle b.
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A pilot is flying from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off
or land if the temperature on the field is not within its operating limitations. The aircraft
cannot operate if the temperature is at or below -40 degrees, or at or above 118 degrees.
A) Write an inequality to represent the temperatures in which the pilot can take off &
land. (2pts)
B) Describe the graph of the inequality. Use terms such as open/closed circles and
shading directions. Explain what the solutions to the inequality represent (4pts)
The necessary inequality is denoted by the symbol.
-40< x <118
This is further explained below.
What is is the required Inequality?Generally, Find an inequality that represents the potential landing or takeoff circumstances of an aircraft, the needed graph, and one example where the inequality will be evaluated.
Find an inequality that represents the possible landing or takeoff conditions of an aircraft.
The necessary inequality is denoted by the symbol.
-40<x<118
The temperature range in which the aircraft is possible to take off or land is shown by the graph.
Due of the high temperatures in Phoenix, Arizona in June of 1990, the pilot could not have safely taken off.
Let us represent the temperature with the symbol x
Therefore, the temperature must be above or equal to.
-40F so x>-40
Therefore, the temperature can't be at or higher than.
118F so x<118
The disparity between them will be.
-40<x<118
It is possible to observe from the graph that the area colored in gray encompasses all of the points that lie between -40 and 118, but it will not include the points -40 and 118.
The temperature range in which the aircraft is possible to take off or land is shown by the graph.
In June of 1990, the temperature in Phoenix, Arizona, reached a high of degree 122degree, which is higher than 118F
Because of this, it is impossible for the pilot to have taken off on this day.
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Which angles of rotation will map the figure onto itself? List them all. Explain your reasoning and/or show your work.
The angles of rotation will map the figure onto itself are 60, 120, 180....
How to deternine which angles of rotation will map the figure onto itselfIn geometry, transformation involves changing the angle, position and/or size of a shape.
The given parameter is the shape in the figure
From the figure, we can see that the shape has 6 congruent sides
This means that the shape is a regular hexagon
The angle of rotation will map the figure onto itself is calculated as
Angle = 360/Number of sides
So, we have
Angle = 360/6
Evaluate
Angle = 60
The other angles must be a multiple of 60
i.e. 60, 120, 180....
Hence, the angles of rotation will map the figure onto itself are 60, 120, 180....
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CAN YOU HELP PLEASE
Which of the following is not a function? (There may be more than one answer). Explain Clearly.
Using the condition for a relation to be a function, we have that items b and c are not functions.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
In this problem, we have that:
Item b is not a function, as the input 6 is associated with two outputs.Item c is not a function, because the graph has vertically aligned points, meaning that values of x are associated with multiple, in this case 2, values of y.More can be learned about relations and functions at https://brainly.com/question/12463448
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$2.01 divided by 2.5 round to the nearest cent?
Answer: $0.80
Step-by-step explanation:
2.01/2.5=
0.804=
0.804=$0.80
One pair of corresponding sides of two similar polygons measures 12 and 15. The perimeter of the smaller polygon is
30. Find the perimeter of the larger.
24
36
37
37.5
6x-11=180-155
Solve for x
(I need steps too, I’m confused)
Answer:
[tex] \sf \large \: x=6[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
6x−11=180−155
Step 1: Simplify both sides of the equation.
6x−11=180−155
6x+−11=180+−155
6x−11=(180+−155)(Combine Like Terms)
6x−11=25
6x−11=25
Step 2: Add 11 to both sides.
6x−11+11=25+11
6x=36
Step 3: Divide both sides by 6.
6x/6 = 36/6
x=6
PLEAS HELP ME. HELP ILL GIVE U BRAINLIST AND 100 POINTS.
Answer:
b) (-3)⁶/(-3)⁴
Step-by-step explanation:
Given that,
→ (-3)⁴/(-3)²
→ 81/9 = 9
Then the equivalent expression is,
→ (-3)⁶/(-3)⁴
→ 729/81 = 9
Hence, option (b) is correct.
6−2(8−x)=2x−10 don't get it
Answer: 0 = 0
Step-by-step explanation: Rearrange terms: 6-2 ( -x+8 ) = 2x -10
Distribute: 6 + 2x - 16 = 2x - 10
Subtract 6 and 16: -10 + 2x = 2x - 10
Rearrange terms: 2x - 10 = 2x -10
Add ten to both sides: 2x - 10 + 10 = 2x - 10 + 10
Simplify: 2x = 2x
Subtract 2x from both sides: 2x - 2 = 2x - 2
Simplify: 0 = 0
Hope that helps!
Rosie wanted to calculate the change in temperature today. When she woke up this morning, she recorded the temperature at -10^ F. When she went to bed that night, she recorded the temperature at 8^\F. What was the change in temperature from morning to night?
The change in temperature from morning to night is ₋18°F which means the temperature decreased from morning to night.
Given the temperature in the morning is ₋10°F
and temperature in the night is 8°F
To calculate the difference, subtraction is used between the starting and final temperatures. In other words, if something starts at 50 degrees Celsius and ends up at 75 degrees C, the temperature difference is 25 degrees C, or 75 degrees C minus 50 degrees C. The outcome is adverse for drops in temperature.
change in temperature from morning to night = ₋10°F ₋ 8°F
= ₋18°F
the result is negative, hence the temperature decreases from morning to night.
Hence we get the temperature change as ₋18°F.
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What is the approximate solution to this equation? 4Inx A. B. C. D.
The approximate solution to this equation 4lnx-8=12 is 143.5.
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459.
The given equation is 4lnx-8=12
4lnx=20
lnx=5
lnx= logeX
logeX=5
x=e^5
that is approximately equal to 2.7^5= 143.5
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Which of the c-values satisfy the following inequality?
2 > c/3
Choose all answers that apply:
A. c = 3
B. c = 6
C. c = 9
The value of c that satisfies the given inequality is c = 3.
What are inequalities?Inequality is a conditional relation that compares two numbers or expressions in a way that is not equal. Commonly, it is used to contrast the relative sizes of two numbers on a number line.
From the given information, we are to find the values of c that satisfies the relation;
2> c/3i.e 2 must be greater than the solution of any values of c that are put into the equation.
If c = 3
2 > 3/3
2 > 1 (the value of c satisfy the given inequality)
If c = 6
2 > 6/3
2 = 2 (the value of c does not satisfy the given inequality)
If c = 9
2 > 9/3
2 < 3 (the value of c does not satisfy the given inequality)
Therefore, we can conclude that the value of c that satisfies the given inequality is c = 3.
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