The correct option regarding what is required to disprove a conditional statement is given by:
A single counterexample that shows the statement is not always true.
What is a conditional statement?A conditional statement has the following format:
If Clause 1 then Clause 2...
In which:
Clause 1 is the hypothesis.Clause 2 is the conclusion.The statement is disproved when there is even one single case in which Clause 1 is true and Clause 2 is false, that is, a counter example showing that the statement is not always true, hence the third option in this problem is correct.
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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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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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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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In a class of 45 students, there are 15 girls, what is the percentage of the class are boys
Answer:
75%
Step-by-step explanation:
To find the percentage of boys in the class, we must know how many boys are in the class.
The class has a total of 45 students. 15 of those students are females, so we know to 45 - 15 is the number of boys.
45-15=30
So now we now that there are 30 boys. To be more specific, 30 boys out of the 45 students. We can look at this as a fraction, which can be changed to a percentage/decimal. ([tex]\frac{30}{45}[/tex])
[tex]\frac{30}{45}[/tex] converted to a percentage is 75. This means that the percentage of boys in the class is 75%
please help due in 10 mins factor with work please
Answer:
7ab(b^4-8)
Step-by-step explanation:
(7ab)(b^4-8)
Austin needs to buy a new lawnmower for $320 . this week they are discounted by 20% . what is the sale price ?
Answer:
Step-by-step explanation:
When Leroy went to bed, the temperature was
–
2°F. He needed his electric blanket to keep warm! By morning, the temperature had risen 9°F.
Answer:
;( no se tu problema
can someone please wright an paragraph on the problem: -10 1/5 ÷2 4/5
Answer:
Paragraph
So, to start off this equation, you start with your mixed number, -10 1/5. Convert both mixed numbers to improper fractions, then multiply their numerators and denominators separately. Next, you must simplify. You simplify by converting improper fraction to mixed number. Then, you find the answer.
Hope this helps!
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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The ratio of rod cars to blue cars in a parking lot was 5: 3. If there were 40 red cars, how
many blue cars were there?
Answer: 24 blue cars
Step-by-step explanation:
Red | Blue
5 : 3
x8 x8
40 : ?
40 : 24
When extended, the periscope of a submarine is about eighteen feet above sea level. When retracted, the top of the periscope is ten feet below sea level. Suppose that a number line is used to represent this situation, with sea level at zero. Which number sentence describes the relationship between the distance from the surface to the top of the periscope when it is extended and the distance from the surface of the water to the top of the periscope when it is retracted?
The position of the periscope on the number line will lie at negative 10 for below sea level and at 18 for above sea level.
What is a number line?A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Given that a submarine's periscope rises around 18 feet above sea level when fully deployed. The peak of the periscope is 10 feet below sea level when it is fully extended.
The periscope will be at negative 10 for levels below sea level and at 18 for levels above sea level on the number line. The image of the number line is attached with the answer below.
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A bank account balance is -$26 .If a second bank account balance is less than -$26,identify a possible balance. Write an inequality to compare the balances.
The inequality to compare the balances in the accounts x <-26
How to write an inequality to compare the balances in the accounts?Based on the given parameters in the question, the balances are given as
Bank Account Balance 1 = -$26
Bank Account Balance 2 is less than Bank Account Balance 1
This above balances can be represented as be expressed as
Bank Account Balance 2 is less than Bank Account Balance 1
So, we have
x is less than Bank Account Balance 1
In this case, the variable x represents balance 2
Express less than inequality using less than inequality symbol <
So, we have the following inequality expression
x < balance 2
Substitute -26 for balance 2
x < -26
Hence, the inequality to compare the balances in the accounts x <-26
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Part 1: Write the equation of the graphed line in slope intercept (y= mx + b).
Answer:
1. y = 2x - 5
2. y = (-1/3)x
3. y = -4
4. y = (-3/4)x + 7
5. x = 6
6. y = -3x - 8
Step-by-step explanation:
1.
Point 1: (0, -5) Point 2: (-1, -7)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -7 - (-5) -7 + 5 -2
m = ------------ = ----------- = ---------- = ------ = 2
x₂ - x₁ -1 - 0 -1 -1
y - y₁ = m (x - x₁)
y - (-5) = 2(x - 0)
y + 5 = 2x - 0
-5 -5
y = 2x - 5
----------------------------------------------------------------------------------------------------------
2.
Point 1: (0, 0) Point 2: (3, -1)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -1 - 0 -1
m = ------------ = ----------- = ----------
x₂ - x₁ 3 - 0 3
y - y₁ = m (x - x₁)
y - (0) = (-1/3)(x - 0)
y - 0 = (-1/3)x - 0
-0 -0
y = (-1/3)x
----------------------------------------------------------------------------------------------------------
3.
Point 1: (0, -4) Point 2: (-5, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - (-4) -4 + 4 0
m = ------------ = ----------- = ---------- = ------ = 0
x₂ - x₁ -5 - 0 -5 -5
y = -4
----------------------------------------------------------------------------------------------------------
4.
Point 1: (0, 7) Point 2: (4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - 7 -3
m = ------------ = ----------- = ----------
x₂ - x₁ 4 - 0 4
y - y₁ = m (x - x₁)
y - 7 = (-3/4)(x - 0)
y - 7 = (-3/4)x - 0
+7 +7
y = (-3/4)x + 7
----------------------------------------------------------------------------------------------------------
5.
Point 1: (6, 0) Point 2: (6, 3)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 3 - 0 3
m = ------------ = ----------- = ---------- = undefined
x₂ - x₁ 6 - 6 0
x = 6
----------------------------------------------------------------------------------------------------------
6.
Point 1: (0, -8) Point 2: (-4, 4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 4 - (-8) 4 + 8 12
m = ------------ = ----------- = ---------- = ------ = -3
x₂ - x₁ -4 - 0 -4 -4
y - y₁ = m (x - x₁)
y - (-8) = -3(x - 0)
y + 8 = -3x - 0
-8 -8
y = -3x - 8
I hope this helps!
simplify 4 x 18/6 x 5/5
Answer:
12
Step-by-step explanation:
4.18/6 * 5 over 5
72/6 *5 over 5
72/6 * 5 divided by 5
12.5 divided by 5
12 times 5 over 5
60/5
60 divided by 5
without using a calculator, covert the decimal to a simplified fraction. I NEED HELP PLEASE?????????????!!!!!!!!
Answer:
4/5
Step-by-step explanation:
In order to turn a decimal, in this case 0.8, you'll need to look at the placement of the decimal first. The placement of the decimal here is in the tenths. Thus meaning we will use 10 as the denominator. For the numerator you will use 8. Now we have 8/10. To simplify 8/10 you will divide 8/10 by 2. 8 divided by 2 is 4 (now the numerator). and 10 divided by 2 is 5 (now the denominator). 0.8 would be 8/10 as a fraction and the simplified version of 8/10 is 4/5.
Vwxyz is a rectangular pyramid where WX is longer than XY. Is the slant height VA longer or shorter than the slant height VB? Explain your answer
In rectangular pyramid VWXYZ where WX>XY, then slant height VA shorter than the slant height VB.
As given,
In rectangular pyramid VWXYZ,
WX>XY
⇒(WX/2)>(XY/2)
⇒AX>BX
Draw perpendicular height VM and join AM and BM such that MAXB is a rectangle
AM=BX and BM=AX
So, BM>AM __(1)
In right triangle VMA and VMB,
VA and VB are slant height (hypotenuse)
VM=perpendicular height
AM and BM are base
VA=√VM² + AM²
VB=√VM² + BM² __(2)
From (1) and (2)
VA<VB
Therefore, in rectangular pyramid VWXYZ where WX > XY, then slant height VA shorter than the slant height VB.
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What about the ratio of 8:3?
The ratio of 8:3 is 2. 67
What is ratio?Ratio can be defined as the mathematical comparison of two or more numbers indicating their sizes in relation to each other.
It also explains how many times a number of element contains another.
It is mathematical represented with the symbol ' : '
From the information given, we have to determine the ratio of 8 and 3
We need to take the quotient or division of the two values.
With this, we have the representation as;
= 8/3
Find the quotient
= 2. 67
Thus, the ratio of 8:3 is 2. 67
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Match each system of equations to the inverse of its coefficient matrix, A-1, and the matrix of its solution, X.
The matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2What do we mean by a matrix?A matrix (plural matrices) is a rectangle array or table of numbers, symbols, or expressions arranged in rows and columns that are used to represent a mathematical object or an asset of such an object in mathematics.After matching each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2Therefore, the matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)
1st equation system (top left) = Image number 8Equation system (Image 10) = Image 4Equation system (Image 9) = Image 6Equation system (Image 7) = Image 2Know more about the matrix here:
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The complete question is given below:
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.
Answer:
shown in picture
Step-by-step explanation:
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:
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:
adrian decorated 16 cupcakes in 28 minutes. if he continues at this pace, how many minutes will it take him to decorate 56 cupcakes?
Solution :
98 minutes will it take him to decorate 56 cupcakes
Time and Work – Introduction and Concept
Time and work deal with the time taken by an individual or a group of individuals to complete a piece of work and the efficiency of the work done by each of them.
Work Done = Time Taken × Rate of Work
Rate of Work = 1 / Time Taken
Time Taken = 1 / Rate of Work
If a piece of work is done in x number of days, then the work done in one day = 1/x
Total Work Done = Number of Days × Efficiency
Efficiency and Time are inversely proportional to each other
X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x
Adrian decorated 16 cupcakes = 28 minutes
adrian decorated 1 cupcakes = 28 minutes /16
Adrian decorated 56 cupcakes = 28 minutes /16 x56
= (28/16)x56
[tex]=\frac{28}{16} .56\\\\[/tex]
= 14/8. 56
=7/4.56
=7x14
= 98
98 minutes will it take him to decorate 56 cupcakes
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Which algebraic expression represents "the difference of 54 and a number"?
O 54-n
54
17
O 547
54+n
Answer:
A. 54 - n.
Step-by-step explanation:
In math, the word, "difference" means to subtract, because it is the result of subtracting.
Please help, I will give you brainlest.
I really need help I am lost Thank you !
The solution to the composite functions are as follows:
f(g(x)) = x² + 4x + 4 / 2g(f(x)) = x² / 2 + 2How to solve composite function?The composite functions can be solved as follows:
f(x) = x² / 2
g(x) = x + 2
Therefore,
f(g(x)) = (x + 2)² / 2
f(g(x)) = (x + 2)(x + 2) / 2
f(g(x)) = x² + 2x + 2x + 4 / 2
f(g(x)) = x² + 4x + 4 / 2
Therefore,
g(f(x)) = x² / 2 + 2
g(f(x)) = x² / 2 + 2
Therefore, the solution to the composite functions are as follows:
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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 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?
The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the
equation y = 0.064x + 1.49, where x is the number of years since 1975. Solve this equation for x. Use the new equation
to determine in which year the approximate
number of oil barrels imported from Country B per day will be 4.05 million.
The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is 2,015.
What is a linear equation?A linear equation can be defined as an algebraic equation of the first order that has two (2) variables (x, y) with each of its term having an exponent of one (1).
In Mathematics, the standard form of a linear equation is given by the following:
y = mx + c
Next, we would solve the given linear equation for x:
y = 0.064x + 1.49
Subtracting 1.49 from both sides, we have:
4.05 - 1.49 = 0.064x + 1.49 - 1.49
4.05 - 1.49 = 0.064x
2.56 = 0.064x
x = 2.56/0.064
x = 40.
The year in which the approximate number of oil barrels imported from Country B per day would be 4.05 million is given by:
y = 1975 + x
y = 1975 + 40
y = 2,015.
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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:
I need help with geometry
Answer:
1.Pentagon
2.Rhombus
3.Hexagon
Mr John withdrew some of money from the bank .He gave 1 to his son and 1/3 to his daughters
1)if he had 500.00ghs that has left,how much did he take from his bank
if he had 500.00ghs that has left, he has withdrawn 3,000.00ghs from his bank.
What is the total amount withdrawn from the bank?The total amount that Mr. John withdrew from the bank is 1, which is the same as 100%, in other words, the fraction of the amount remaining is 1 minus 1/2 given to his son and 1/3 that was given to his daughter:
amount left=1-1/2-1/3let 6 be LCMamount left=(6-3-2)/6amount left=1/6500.00=1/5*actual amount actual amount withdrawn=500*6/1actual amount withdrawn=3,000.00 ghsFind out more about fraction on: brainly.com/question/10354322
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Full question: Mr. John withdrew some of money from the bank .He gave 1/2 to his son and 1/3 to his daughters1)if he had 500.00ghs that has left, how much did he take from his bank
I need help with this exercise on Simplifying Logarithms.
Evaluate the following showing steps. Round the answer to three significant digits.
e^(4x-2) when x = 2
Answer:
Respuesta (ab³+))
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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