Answer:
The slope would be undefined
Step-by-step explanation:
If the slope is perpendicular to the x-axis that means it is vertical, all vertical lines have undefined slopes therefore the slope is undefined.
Mr. Pinello has 80 colored pencils and 64 markers to divide into containers for his class. He wants each container to have the same number of items. What is the greatest number of containers Mr. Pinello can make if he wants each container to have the same number of colored pencils and the same number of markers? Show your work.
Mr. Pinello wants each container to contain the same number of coloured pencils and markers, the most containers he can create is 16.
What is the Greatest Common Factor?
The biggest positive integer that divides evenly into all the numbers with no remainder is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.
We have,
The number of coloured pencils Mr. Pinello has = 80.
The number of markers and pencils Mr. Pinello has = 60.
The most containers Mr. Pinello can create to ensure that each one contains an identical amount of coloured pencils and markers.
The GCD of the number of coloured pencils and markers will be the largest number of containers to have the same number of items when the same number of items must be preserved.
Calculating the gcd of and 80 and 64 is:
The greatest common divisor (GCD) of both 80 and 64 is 16.
∴ GCD = 16
Therefore, If Mr. Pinello wants each container to contain the same number of coloured pencils and markers, the most containers he can create is 16.
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Rationalize the denominator 1/ square root of 2
Answer:
Multiply and divide by √2 . You'll get √22
Step-by-step explanation:
Suppose you want to have $600,000 for retirement in 35 years. Your account earns 5% interest. How
much would you need to deposit in the account each month?
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To have $600,000 for retirement in 35 years at 5% interest, one would need to deposit $528.13 in the account each month.
What are periodic deposits?Periodic deposits are monthly cash inflows into a retirement account that accumulates interest by compounding.
To find periodic deposits, we can use an online finance calculator, defining the parameters as follows.
N (# of periods) = 420 months (35 years x 12)
I/Y (Interest per year) = 5%
PV (Present Value) = $0
FV (Future Value) = $600,000
Results:
Monthly Deposits (PMT) = $528.13
Sum of all periodic deposits = $221,814.60
Total Interest = $378,185.40
Thus, monthly deposits of $528.13 can accumulate to $600,000 in 35 years at 5% interest.
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find the number that is exactly halfway between 5 and 17
8x^(3)-27=0
find the roots of x
Answer:
[tex] \sf Root \: of \: x \: are \: \dfrac{3}{2} \: and \: \dfrac{ - 6 \pm \sqrt{ - 108} }{8} [/tex]
Step-by-step explanation:
[tex] \rm \implies 8 {x}^{3} - 27 = 0 \\ \\ \rm \implies (2 \times 2 \times 2) {x}^{3} - (3 \times 3 \times 3) = 0 \\ \\ \rm \implies {(2x)}^{3} - {3}^{3} = 0 \\ \\ \boxed{ \rm {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )} \\ \\ \rm \implies (2x - 3)( {(2x)}^{2} + (2x)(3) + {3}^{2} ) = 0 \\ \\ \rm \implies 2x - 3 = 0 \: and \: 4 {x}^{2} + 6x + 9 = 0 \\ \\ \rm \implies x = \frac{3}{2} \: and \: x = \frac{ - 6 \pm \sqrt{36 - 144} }{8} \\ \\ \rm \implies x = \frac{3}{2} \: and \: x = \frac{ - 6 \pm \sqrt{ - 108} }{8} [/tex]
What pattern do you see?
Gallons
0.1
10
Miles
118
Step-by-step explanation:
why ? the same pattern your saw yourself, as the handwritten numbers indicate.
it is 1:118.
event on the left is multiplied by 118 to create the numbers on the right.
I need help with solving problem.
Answer:
x=-1,x=3/5
Step-by-step explanation:
Those are the two values of x
Car A is travelling east at a steady speed .......
Answer:
for 20 miles per hour
Step-by-step explanation:
.
The birth weights of the 908 babies born at Valley Hospital in 2019 were normally
distributed with a mean of 7.2 pounds with a standard deviation of 1.5. Use the Z-
Score Table from the book to determine the number of babies that weighed more
than 10 pounds.
Round your answer to the nearest whole number, but do not include the word
"babies" in your response.
PLEASE HELP I POSTED THIS QUESTION LIKE TWICE AND NO ONE IS HELPING ME
Using the z-score tables, the number of babies that weighed more than 10 pounds is; 43
How to find the p-value from z-score?A probability distribution that can be considered to be symmetric about the mean is the normal distribution, which can often be referred to as the Gaussian distribution. This depicts to us the concept of data being close to the mean occurring more often than data that are considered far from the mean. The normal distribution usually has a bell curve graph.
We are given that;
The total number of babies is 908.
Mean of the normal distribution is 7.2 pounds.
Standard deviation of the normal distribution is 1.5 pounds.
The formula of z score is given by;
z = (x - μ)/σ
where;
x is sample mean
μ is population mean
σ is standard deviation
We are given that;
x = 10
μ = 1.5
σ = 7.2
Thus;
z = (10 - 7.2)/1.5
z = 1.86667
The P-value from Z-Table gives us:
P(x > 10) = 1 - P(x < 10) = 0.030974
The number of babies that weighed more than 10 pounds is;
(0.030974 × 908) ≈ 43
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Complete the table: (Enter your answers as a whole dollar amount.) Units Unit Cost Dollar Cost Beg. Inventory Jan. 1 10 $ 7.00 A Apr. 11 30 $ 12.00 B May 17 40 $ 13.00 C Dec. 5 20 $ 15.00 D
The completion of the inventory table is as follows:
A = $70B = $360C = $520D = $300.What are the inventory methods?Some of the inventory methods that are used in completing the inventory table are:
FIFO (First-in, First-out) lies on the assumption that the physical flow of goods sold depends on the chronological order of acquisition.LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.The weighted-average method uses the average cost of goods to determine both the ending inventory and the cost of goods sold.Specification Identification does not rely on any assumptions in allocating the costs of goods sold and ending inventory.Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 10 $7.00 $70
Apri. 11 Purchases 30 $12.00 $360
May 17 Purchases 40 $13.00 $520
Dec. 5 Purchases 20 $15.00 $300
Total 100 $1,250
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is the ordered pair (2, 4) a solution to the following equation
5x + 2y = 23?
Answer: Can't Say for sure but probably it is so I would Say Yes.
rearrange the perimeter forumula for a rectangle to find the width.
P=2w+ 2l
The width of the rectangle is given as w = p/2 - l which is derived from perimeter of rectangle
Perimeter of RectangleThe perimeter of a rectangle is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.
In this question, we simply need to make the width (w) the subject of formula.
The equation given is
p = 2w + 2l
p = perimeter of rectanglew = width l = lengthp = 2w + 2l
p = 2(w + l)
p / 2 = w + l
w = p/2 - l
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one positive number is 8 more than twice another. if their product is 1242, find the numbers?
Answer:
Step-by-step explanation:
Match each number on the left with the correct description of the number on the right.
Answer:a, c and d
Step-by-step explanation:bc i got it right on edge
Lee.com accepted a $70,000, 634% , 120-day note on July 26. Lee discounted the note on October 28 at LB Bank at 6%. What proceeds did Lee receive? (Use Days in a year table) (Round your answer to the nearest cent.)
On October 28, Lee received proceeds of $71,153.66 from the discounted note.
What is note discounting?Discounting a note involves receiving immediate cash by selling it to a financial institution at a discount.
The implication of discounting a note is that the receiver gets less than the maturity value.
The maturity value is the face value of the note plus the computed interest.
Face value of the note receivable = $70,000
Interest rate = 6.34%
Note period = 120 days
July 26 - October 28 = 94 days
Maturity value of the note receivable = The Face Value + Interest
= $71,459.07 [$70,000 + ($70,000 x 6.34% x 120/365)]
Bank discount rate = 6%
The discount period from October 28 to Nov 22 = 26 days (120 - 94)
Bank discount = Maturity Value x Discount Rate x Discount Period
= $305.41 ($71,459.07 x 6% x 26/365)
Proceeds = Maturity value - Bank discount
= $71,153.66 ($71,459.07 - $305.41)
Thus, by discounting the note receivable at LB Bank at 6%, Lee received $71,153.66 instead of the $71,459.07 it would have received at maturity.
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76 points and brainlist
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
2 x 102
2 x 103
0.7 x 101
6.67 x 102
Answer:
d the last one I think
Step-by-step explanation:
I am not really sure
Answer:
D.) 6.67 X 10^2
Write the quadratic equation whose roots are -5 and 4, and whose leading coefficient is 5.
(Use the letter x to represent the variable.)
3
x
2
−
3
x
−
60
=
0
Explanation:
A quadratic equation whose roots are
α
and
β
and leading coefficient is
a
is
a
(
x
−
α
)
(
x
−
β
)
=
0
Hence, the quadratic equation whose roots are
5
and
−
4
and leading coefficient is
3
is
3
(
x
−
5
)
(
x
−
(
−
4
)
)
=
0
or
3
(
x
−
5
)
(
x
+
4
)
=
0
or
3
(
x
2
−
5
x
+
4
x
−
20
)
=
0
or
3
(
x
2
−
x
−
20
)
=
0
or
3
x
2
−
3
x
−
60
=
0
Answer:
5x^2+5x-100=0
Step-by-step explanation:
5(x+5)(x-4)=0
(x+5)(x-4)= 0
x= -5
x= 4
Complete the chart to show similarities and differences between multiplying by 0.1, 0.01, 10, 100. Tell how many places the decimal point appears to move and in which direction when you multiply by each
Answer:
they all are being multiplied by 10
Step-by-step explanation:
0.01 x 10 = 0.1
0.1 x 10 = 1
1 x 10 = 10
10 x 10 = 100
Describe the features of the function that can be easily seen when a quadratic function is given
in the form: y= A(x− ℎ)^2+kand how they can be identified from the equation.
From the given equation y = A(x-h)² +k it is identified that this quadratic function represents the parabola with vertex (h, k).
As given in the question,
Given equation is :
y = A(x-h)² +k
Standard basic parabola equation is y = x² where parabola pass through (0, 0) .
In the given quadratic function y = A(x-h)² +k , it represent equation of parabola which is U shaped .
Value of A > 0 then it open in upward direction .
Value of A <0 then it is open in downward direction.
Vertex of the given parabola y = A(x-h)² +k is (h, k).
Line of symmetry is given by vertical line x =h.
Therefore, from the given equation y = A(x-h)² +k it is identified that this quadratic function represents the parabola with vertex (h, k).
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Please help me with the attached question
The expression equivalent to [tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m[/tex] is m - 2.
How to find equivalent expression?Equivalent expressions are expressions that work the same even though they look different.
In other words, equivalent expressions are expressions that have the same value.
Therefore, the expression that is equivalent can be calculated as follows:
[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m[/tex]
Hence, let's simplify the expression to find it's equivalent,
open the bracket
[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = -\frac{21}{2}+2m+\frac{17}{2}-m[/tex]
[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = -\frac{21}{2}+2m+\frac{17}{2}-m = -\frac{21}{2}+\frac{17}{2}+2m-m[/tex]
[tex]-\frac{21}{2}+\frac{17}{2}+2m-m=-\frac{4}{2} + m[/tex] = m - 2
Therefore,
[tex]-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = m-2[/tex]
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Tiana is looking up her county's census data for a school project. Her county conducts a census every decade. She finds that the population was about 641,000 the year she was born, and that it had decreased to about 634,590 a decade later. Tiana reads that the population of the county is expected to continue decreasing each decade.
Write an exponential equation in the form y=a(b)x that can model the county population, y, x decades after Tiana was born.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
How many decades after Tiana was born will the county population fall below 600,000?
decades
The exponential function that can model the county population, y, x decades after Tiana was born, is:
[tex]y = 641000(0.99)^x[/tex]
The population will fall below 600,000 in 6.6 decades after Tiana was born.
What is an exponential function?The definition of the exponential function is presented as follows:
[tex]y = a(b)^x[/tex]
In which the parameters of the exponential function are presented as follows:
a is the initial value.b is the rate of change.In the context of this problem, the values of these parameters are given as follows:
a = 641000, which is the initial population.b = 634590/641000 = 0.99.Hence the function is:
[tex]y = 641000(0.99)^x[/tex]
The population will fall below 600,000 when y = 600000, hence:
[tex]y = 641000(0.99)^x[/tex]
[tex]600000 = 641000(0.99)^x[/tex]
[tex](0.99)^x = \frac{600000}{641000}[/tex]
[tex]\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}[/tex]
[tex]x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}[/tex]
[tex]x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}[/tex]
x = 6.6 decades.
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Confused please help.
The image of the corresponding to each slope is attached
What is slope?A line's steepness can be determined by looking at its slope.
Slope is determined mathematically as "rise over run" (change in y divided change in x).
assuming slope is m
m = (y₂ - y₁) / (x₂ - x₁) = change in y / change in x
considering the formula
slope is between 0 and 1 when rise (change in y) is so smaller than run (change in x) hence the line is closer to horizontal
slope is greater than 1 then the rise is more than run, in this case the line is approaching vertical line
numbers less than zero are negative hence slope has a negative value
A horizontal line is a line that has a slope of of zero while vertical lines has its slope as infinity
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Solve for X in the equation;
2x+5=7
Answer:
x=1
Step-by-step explanation:
Answer: x=1
Step-by-step explanation:
2x + 5 = 7
2x + 5 - 5 = 7 - 5
2x = 2
2x/2 = 2/2
x=1
HELP PLEASE HELP I NEED HELP PLEASEEEEEEEEEEE
The first and the second differences are shown in the table, the values of the second differences are constant, therefore, the relation is linear.
What is a linear relation?A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).
The first and the second differences are:
x y first differences second differences
4 18 ----
5 28 10 ------
6 35 7 -3
7 39 4 -3
8 40 1 -3
9 38 -2 -3
The values of second differences are constant, therefore, the relation is linear.
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please help me i never learned divison im sorry87,628÷931=
Answer:
94.1224489796
this is the answer
A bag contains 3 gold marbles, 5 silver marbles, and 26 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game?
The expected value if you play this game will be -$0.205.
Let the number of gold, silver, and black marbles be P1, P2, and P3, respectively.
Given, The bag contains,
Number of gold marbles (P1) = 3
Number of silver marbles (P2) = 5
Number of black marbles (P3) = 26
Also given,
The winning value if a gold marble is selected = $3
The winning value if a silver marble is selected = $2
The losing value if a black marble is selected = $1
Probability = Expected value/ Sum of the total number of events
Probability of picking a gold marble,
P1 = 3/ (3+ 5+ 26)
= 3/34.
Probability of picking a silver marble,
P2 = 5/ (3+ 5+ 26)
= 5/34.
Probability of picking a black marble,
P3 = 26/ (3+ 5+ 26)
= 26/34.
The expected value if you play the game will be,
Value = ($3) P1 + ($2) P2 + (-$1) P3
= ($9/34) + ($10/34) - ($26/34)
= - ($7/34)
= -$ 0.205
Thus, you will face a loss of 0.205 cents.
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Paul inherited a stamp collection. Since receiving the
collection, Paul has gone to the store and bought the
same number of new stamps each week to add to his
collection. The equation shown below can be used to
determine the number of stamps (y) in Paul's stamp
collection x weeks after he inherited the stamps.
y = 3x + 40
Based on the equation, which statement is true?
A) The stamp collection had 3 stamps in it when Paul inherited it.
B) So far, Paul has purchased 40 additional stamps for the collection.
C) Since inheriting the collection, Paul has bought 3 new stamps each week.
D) Six weeks after he inherited the collection, Paul's stamp collection contains 18 stamps
Based on the equation y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps, the correct statement is since inheriting the collection, Paul has bought 3 new stamps each week.
According to the question,
We have the following information:
y = 3x+40 where y is the number of stamps and x is number of weeks after Paul inherited the stamps
Now, when we observe this equation carefully, we notice that 3x is added to 40. So, it means that 40 is constant. Then, the number of stamps increasing per week is in the multiplication of 3. Or, in other words, 3 new stamps are bought each week.
For 1st week:
y = 3*1+40
y = 43
For 2nd week:
y = 3*2+40
y = 6+40
y =46
Hence, the correct option is C.
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Point M (5,-7) is the midpoint of the line segment CD. If C is (2, "-3)," which of these are the coordinates of D?
Answer:
D(8, -11)
Step-by-step explanation:
You want the coordinates of end point D if C is (2, -3) and the midpoint of CD is M(5, -7).
MidpointThe midpoint is the average of the endpoint coordinates:
M = (C +D)/2
Solving for D, we find ...
D = 2M -C
End pointThen point D is ...
D = 2(5, -7) -(2, -3) = (2·5-2, 2(-7)+3)
D = (8, -11)
help please need this rn
The equation of the vertical asymptote for the graph of the rational number g(x) = 6/x-1 is x - 1 = 0 or x = 1.
Given function:
g(x) = 6/x-1
vertical asymptote for any function is denominator is equal to zero.
x - 1 = 0
x = 1.
Therefore the equation of the vertical asymptote for the graph of the rational number g(x) = 6/x-1 is x - 1 = 0 or x = 1.
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answer as a decimal with 3 significant digits
Answer:
0.08330.75Step-by-step explanation:
There are four different color marbles.
Probability of blue:
P(B) = 1/4,Next, there are 3 marbles left in the bag since no replacement.
Probability of red after blue:
P(R) = 1/3The probability of these two steps in order:
P(Blue then Red) = 1/4*1/3 = 1/12 = 0.0833Complement of R is:
P(Rc) = 1 - P(R) = 1 - 1/4 = 3/4 = 0.75