Answer: The answer is -4
Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!
Hope this Helps :D
An engineering school reports that 52% of its students were male (M), 33% of its students were between the ages of 18 and 20 (A), and that 22% were both male and between the ages of 18 and 20.
What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P(F) = P(not M).
Your answer should be given to two decimal places.
The sets and are given below.
, , , , ,
, , , , ,
Find the intersection of and .
Find the union of and .
Write your answers using set notation (in roster form).
The intersection of M and F is {d}.
The union of M and F is {b, d, e, h, j}
What is the union and the intersection?A set is a collection that is used to model a collection of different things. A set can be described as a collection of objects whose elements are fixed and cannot be changed.
To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set would be separated by commas.
The intersection represents only elements that are common to two or more sets. Th sign used to represent intersection is ∩. The union of sets are all the elements in the set. The sign used to represent union is U.
The intersection of M and F = d.
It is only d that is in both set M and set F.
The union of M and F = {b, d, e, h, j}
Here is the complete question:
The sets M and F are given below.
M= ( b, d, h)
F= (d, e, j)
find the union of M and F. Find the intersection of M and F.
Write your answers using set notation (in roster form).
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point(s) possible
The total (after-tax) cost of a laptop computer is $1605.96. The local sales tax rate is 7.1%. What is the retail (pre-tax)
price?
Answer:
1491.94
Step-by-step explanation:
7.1/100 = x/1605.96
=114.02
1605.96-114.02=1491.94
The store is supposed to keep an inventory of 120 cases of coke. There are 17 cases in the cooler and 43 cases in a floor display. How many cases should be ordered to bring the inventory back to the correct level?
60 more cases of coke is needed to maintain the required inventory.
Total inventory for the coke needed = 120
Number of cokes in then cooler = 17
Number of coke in the floor display = 43
Number of coke needed more to maintain the required inventory will be calculated by using subtraction.
= 120 - 17 - 43
= 103 - 43
= 60
Therefore, 60 more cases of coke is needed to maintain the required inventory.
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LESSON 7.1 Geometry HELPPPPPPPP!!!!!!!!!!!!!!
1. Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
2. Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
3.Find the missing side of each triangle. Leave your answers in simplest radical form.
4.Find the missing side of each triangle. Leave your answers in simplest radical form.
1. The missing side of triangle is 10 CM
2. The missing side of triangle is 13 mi
3. The missing side of triangle is 3[tex]\sqrt{2}[/tex] mi
4. The missing side of triangle is [tex]\sqrt{219}[/tex] yd
The Pythagoras theorem equation is expressed as, , [tex]c^{2}[/tex]=[tex]a^{2}[/tex]+[tex]b^{2}[/tex], where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.
We have different right triangles and their measurements.
we have to find the missing side of triangle.
The Pythagoras theorem equation is expressed as, [tex]c^{2}[/tex]=[tex]a^{2}[/tex]+[tex]b^{2}[/tex]
1. For diagram 1,
Let the length c=x,
a=6
b=8
then according to the Pythagoras theorem.
⇒[tex]x^{2}[/tex]=[tex]6^{2}[/tex]+[tex]8^{2}[/tex] ⇒ [tex]x^{2}[/tex]= 36+64=100
⇒x=10
therefore missing side of triangle is 10 CM
2. For diagram 2,
Let the length c=x,
a=5
b=12
then according to the Pythagoras theorem.
⇒[tex]x^{2}[/tex]=[tex]5^{2}[/tex]+[tex]12^{2}[/tex] ⇒ [tex]x^{2}[/tex]= 25+144=169
⇒x=13
therefore missing side of triangle is 13 mi
3. For diagram 3,
Let the length c=x,
a=3
b=3
then according to the Pythagoras theorem.
⇒[tex]x^{2}[/tex]=[tex]3^{2}[/tex]+[tex]3^{2}[/tex] ⇒ [tex]x^{2}[/tex]= 9+9=18
⇒x=3[tex]\sqrt{2}[/tex]
therefore missing side of triangle is 3[tex]\sqrt{2}[/tex] mi
4. For diagram 4,
Let the length a=x,
c=16,
b=[tex]\sqrt{37}[/tex]
then according to the Pythagoras theorem.
⇒[tex]16^{2}[/tex]=[tex]x^{2}[/tex]+[tex](\sqrt{37} )^{2}[/tex] ⇒ [tex]x^{2}[/tex]= 256-37=219
⇒x=[tex]\sqrt{219}[/tex]
therefore missing side of triangle is [tex]\sqrt{219}[/tex] yd
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-2x^2+4x=5
use the Quadratic formula, the equation needs to be in standard form first. Then label a, b and c and plug it into the quadratic formula and simplify using the order of operations.
The solution of the quadratic equation -2x² + 4x = 5 is; x = 1 ± (1/2)√-6
How to use quadratic formula?
We are given the quadratic equation;
-2x² + 4x = 5
-2x² + 4x - 5 = 0
Quadratic formula for an equation of the form ax² + bx + c = 0 is given as; x = [-b ± √(b² - 4ac)]/(2a)
From the given quadratic equation, we can see that;
a = -2
b = 4
c = -5
Thus;
x = [-4 ± √(4² - 4*-2*-5)]/(2*-2)
x = [-4 ± √(16 - 40)]/-4
x = -4/-4 ± (1/4)√-24
x = 1 ± (2/4)√-6
x = 1 ± (1/2)√-6
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What is the value of y3x if y=3 and x=7
Y3x=
Answer: {y,x} = {-9,-2}
Step-by-step explanation:
can someone help it is only 2 qestions 40 points
Answer: 9) 0.42, 2/5, 4.5%
10) 3.34, 3 1/3, 300%
Step-by-step explanation:
Find the remaider theorem of (x^3-6x^2+x-5) by x+2
Answer:
-39Step-by-step explanation:
x³-6x²+x-5
but it is divided by x+2
x+2=0.
x=-2.
(-2)³-6(-2)²+(-2)-5.
-8-6*4-2-5.
-8-24-7
-15-24
-39Sakura is making a mobile. She has a spool of twine that she cuts into
lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces of
twine in lengths in order from shortest to longest.
the lengths?
In order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.
We are given the different lengths of the spool of twine that is being cut.
We have those lengths as:
5 / 6 foot
0.75 foot
4 / 5 foot.
To compare the lengths from the shortest to the longest, we need to first convert all the fractions into decimals.
So, we get that:
5 / 6 foot = 0.83 foot
4 / 5 foot = 0.80 foot
Now, we can arrange the lengths from the shortest to the longest.
0.75 foot, 0.80 foot, o.83 foot.
Therefore, we get that, in order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.
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Your question was incomplete. Please refer the content below:
Sakura is making a mobile. She has a spool of twine that she cuts into
lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces twine in lengths in order from shortest to longest. A. What do you need to do before you can compare the lengths?
Aisha just received a $40 paycheck from her new job. She spends some of it buying music online and saves the rest in a bank account. Her savings is given by f(x)=40-1.25x, where x is the number of songs she downloads at $1.25 per song. Graph the function.
The graph of saving function f(x) = 40 - 1.25x has been plotted with a slope of -1.25.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
Given the function,
f(x) = 40 - 1.25x
Now to plot it we need to put x = 0
f(0) = 40 so y-intercept is (0,40)
Now keep f(x) = 0
Then 0 = 40 - 1.25x
x = 40/1.25 = 32
So x-intercept is (32,0)
So plot a straight line using points (0,40) and (32,0).
Hence "The graph of saving function f(x) = 40 - 1.25x has been plotted".
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Can someone find the slop?✨
Answer:4/3
Step-by-step explanation:from point (0,-1) to (4,4)
From first point on the y it goes up 5and 4 to the right
Or you can use formula m= y2-y1 / x2-x1
(X1,y1) (x2,y2). m= 4- -1/4-0 m= 5/4
(0,-1). (4,4)
I NEED HELP, JUST LOOK AT THE PICTURE I ATTACHED
Answer:
3
Step-by-step explanation:
there are 15 pieces of candy and 5 people, so all you have to do is divided 15 by 5 which gives you 3 meaning each person gets 3 pieces.
Answer:
3
Step-by-step explanation:count them all together 15 put them into separate groups
Carla's horse, Handy, ate 779 pounds
of hay last month. Handy has also eaten
204 pounds of hay so far this month.
How much hay did Handy eat altogether
this month and last month?
Total hay eaten by horse is 983 pounds.
given,
handy ate 779 pound hay in first month .
in the next month handy ate 204 pounds of hay,
we have to add both the numbers ,204+779
=983pounds.
so,
the total amount of hay eaten by handy is 983 pounds.
The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum.
Long addition is a process for adding numbers together.
Stack your numbers and align the columns by place value.
Add all numbers column by column from right to left.
Record the sum in the answer space for each column.
If the sum of any one column is greater than nine, carry the additional digits to the next highest column.
The addition is the process of adding 2 or more numbers to get a final result. The 4 main properties of addition are commutative, associative, distributive, and additive identity. Commutative refers that the result obtained from addition is still the same if the order changes.
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Negative two is equal to x divided by the sum of x and five
Shown in pic
Source: Trust me
please help due in 10 mins factor with work please
Answer:
7ab(b^4-8)
Step-by-step explanation:
(7ab)(b^4-8)
This is the graph of y= x2 + 4x + 7 what is the range of this function?
The range of the function y = x^2 + 4x + 7 is y >= 3
How to determine the range of the function?The equation of the function is given as
y = x^2 + 4x + 7
Start by differentiating the above function
So, we have
y' = 2x + 4
Set the above equation to 0
So, we have
2x + 4 = 0
Divide through the equation by 2
So, we have
x + 2 = 0
Evaluate the like terms:
x = -2
Substitute x = -2 in y = x^2 + 4x + 7
y = (-2)^2 + 4(-2) + 7
Evaluate the expression
y = 3
The leading coefficient of the equation y = x^2 + 4x + 7 is positive
This means that the vertex is a minimum
So, the range is
y >= 3
Hence, the range of the function y = x^2 + 4x + 7 is y >= 3
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(x+8)^2-43=-38
Solve for all values of x in simplest form
Answer:
x = √(5) - 8
x = -√(5) - 8
Step-by-step explanation:
Let's solve the problem,
→ (x+8)² - 43 = -38
→ x² + 64 - 43 = -38
→ x² + 21 = -38
→ x² = -38 - 21
→ x = √(-59)
→ [ x = √(5) - 8 ]
(or) [ x = -√(5) - 8 ]
Hence, it is the value of x.
[tex]q=4h+4w solve for h[/tex]
Answer:
w-q=h
Step-by-step explanation:
4w-q=4h
4w/4-q=4h/4
w-q=h
PLS HELP WILL GIVE BRAINLIEST
Is the following relation a function? Justify your answer. Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 1, 4, and 0. The y circle contains the numbers 2, negative 1, and 3. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 1, from negative 1 to 2, from 4 to 3, and from 0 to 3.
No, because there is an input value with more than one output value
No, because there is an output value with more than one input value
Yes, because each input value has only one output value
Yes, because each output value has only one input value
Yes the relation is a function because each input value has only one output value
How to interpret Mapping functions?Function is a type of relation, or rule, that maps one input to specific single output.
The x circle contains the numbers -6, -1, 4, and 0. The y circle contains the numbers -2, -1, and 3.
The mapping is of numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.
Thus, we conclude that yes the relation is a function because for each element of the set X there is only one correspondent element in the set Y.
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Answer: c
Step-by-step explanation: i did the test C:
there is 5 days in a school week. there is 6 dollars in a lunch account. 94 dollars is added to the account so now it is a hundred. school lunch cost three dollars everyday. How long will it take to exhuast the money.
The time taken to exhaust the money will be 33 days.
How to calculate the value?Total amount = 100
Let the number of days be represented by x.
Therefore, the appropriate expression will be:
(3 × x) = 100
3x = 100
Divide
x = 100/3
x = 33.33
Therefore the time taken will be 33 days.
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how do you solve
7 - 5/7 =
Step-by-step explanation:
by bringing all terms to the same fractions (with the same denominator).
so, we have
7
5/7
that means we want to bring both numbers to .../7 form.
7 means 7 whole units.
1 whole unit has now many parts ?
if we aim for 2 parts, that makes 1 whole unit 2/2.
if we aim for 3 parts, 1 whole unit is 3/3.
...
you see, 3/3 = 1/1 = 1.
that is the whole trick.
so, we are looking for 7 parts, and 1 whole unit is 7/7.
now we have 7 whole units.
how many parts are those ?
well, 7 × 7/7 = 49/7
there we go.
we have
7 - 5/7 = 49/7 - 5/7 = 44/7 = 42/7 + 2/7 = 6 2/7
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Lisa is hosting a dinner party and wants to buy filet mignon. Her local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party.
Part A: What will Lisa pay for the filet mignon she purchased at $6.99 per pound? Show all work and round the price to the nearest cent.
Part B: Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. How much will Lisa pay for the shrimp? Show all work.
Part C: What is the total amount Lisa will pay for the filet mignon and the shrimp? Show all work.
please help me :(
1. The Lisa pay for the filet mignon she purchased at $6.99 per pound is $30.41 pounds.
2. The amount she will pay for the shrimp is $11.8125.
3. The total amount Lisa will pay for the filet mignon and the shrimp is $42.2225.
How to calculate the values?1. The local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party. The amount paid will be:
= 4.35 × $6.99
= $30.41 pounds.
2. Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. The amount she will pay for the shrimp is:
= 2.25 × $5.25
= $11.8125
3. The total amount Lisa will pay for the filet mignon and the shrimp is:
= $11.8125 + $30.41
= $42.2225
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Answer:
$42.2225
Step-by-step explanation:
How much external financing will Tobin Supplies Company have to seek? Assume there is no increase in liabilities other than that which will occur with the external financing.
The amount of external financing Tobin Supplies Company have to seek assume there is no increase in liabilities other than that which will occur with the external financing is $58,250
What is the appropriate formula for external financing?
The formula that models the amount of external financing Tobin supplies company requires is a function of its increase in assets minus the retained earnings which would be used to part-fund the increase in assets
external funds needed=increase in assets-retained earnings
increase in assets=$105,000
retained earnings=net income-dividends
net income=sales*profit margin
net income=$550,000*10%
net income=$55,000
dividend payout ratio=15%
dividends=$55,000*15%
dividends=$8250
retained earnings=$55,000-$8250
retained earnings=$46,750
external funds needed=$105,000-$46,750
external funds needed=$58,250
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What is the ruler postulate?
The distance between two points can be determined by the
the absolute value of the difference
of the real number values of the two points.
OR
What is the ruler postulate?
The distance between two points can be determined by the
the sum
of the real number values of the two points.
or
What is the ruler postulate?
The distance between two points can be determined by the
the absolute value of the sum
of the real number values of the two points.
or
What is the ruler postulate?
The distance between two points can be determined by the
the difference
of the real number values of the two points.
The ruler postulate is that A. the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.
What is the ruler postulate?The set of points on a line can be arranged in such a way that the set of real numbers and the set of points correspond exactly, and the distance between any two points is equal to the absolute value of the difference between the corresponding numbers.
Therefore, the ruler postulate is that the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.
In conclusion, the correct option is A.
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fdfdfsdzxvfdxcfdxcfcxf
Answer:
A
Step-by-step explanation:
95 [tex]\leq[/tex] 3.99s + 15.20
-15.20. -15.20
79.80 [tex]\leq[/tex] 3.99s
/ /
3.99 3.99
20 [tex]\leq[/tex] s
Select all that apply
A. The slope of m is -2/5
B. The slope of q is -5/2
C. The slope of n is 2/5
D. The slope of p is -5/2
Can you please explain how you solve it?
Answer:
C is correct! for the slope, N is represented.
Step-by-step explanation:
The slope of the line that contains the points (1, 9) and (3, 4) is 4−93−1=−52.
slope=y2−y1x2−x1=4−93−1=−52
The negative reciprocal is 25, which is the slope of the perpendicular line.
The packaging of a thermometer claims that the thermometer is
accurate within 1.5 degrees of the actual temperature in degrees Fahrenheit.
Write and solve an absolute value equation to find the least and greatest
possible temperature if the thermometer reads 87.4° F.
The required absolute value equation is |x - 87.4| = 1.5
Also, if the thermometer reads 87.4° F, the least possible temperature is 85.9° F and the greatest possible temperature is 88.9° F
In this question, the thermometer is accurate within 1.5 degrees of the actual temperature in degrees Fahrenheit.
We need to find the least and greatest possible temperature if the thermometer reads 87.4° F
Let x be the temperature in degrees Fahrenheit.
From given information, an absolute value equation would be,
|x - 87.4| = 1.5
We know that, | ±a | = a
x - 87.4 = ±1.5
Case 1: x - 87.4 = 1.5
x = 1.5 + 87.4
x = 88.9° F
Case 2: x - 87.4 = -1.5
x = -1.5 + 87.4
x = 85.9° F
Therefore, the required absolute value equation is |x - 87.4| = 1.5
Also, if the thermometer reads 87.4° F, the least possible temperature is 85.9° F and the greatest possible temperature is 88.9° F
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Meghan is spending money at a constant rate. Suppose she initially has $1100, and after 4 months, she has $720. Which of these expresses the rate at which Meghan's amount of money is changing?
In linear equation, 95 is Meghan's amount of money is changing .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Based on the given conditions, formulate ( 1100 - 720 ) ÷ 4
Calculate the sum or difference = 380/4
Cross out the common factor = 95
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Use the graph to find the value of f(x) when x = 6 for the function f (x) = 1/3x-3
The value of the function f(6) on the graph of the linear equation is -1
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the value of the function?The equation of the function is given as
f(x) = 1/3x - 3
The graph of the function is added as an attachment
From the graph, we can see that when x = 6, the value of the function is -1
This means that f(6) = -1
Hence, the value of the function f(6) on the graph of the linear equation is -1
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