Answer:
Length would be 6ft
Width would be 4ft
Step-by-step explanation:
24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.
you roll a six-sided die 20 times. what is the probability of having exactly 8 rolls land on a number greater than 4?
The probability of getting a number greater than 4 when the dice is rolled 20 times is 7.
The number on dice greater than 4 is 2 (that is 5 and 6 on dice) thus the probability of getting a number greater than 4 is
P = 2/6
P = 1/3
This is the probability if the dice were rolled once but if the dice were rolled 20 times thus the probability, in this case, needs to be multiplied by 20
P = 1/3*20
P = 6.66
equivalents to 7
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The number of computer security breaches is expected to increase at a yearly rate of 86%. Use the exponential growth model to determine the equivalent monthly rate. Enter the rate, to the nearest tenth of a percent, in the box. ___ %
The equivalent monthly growth rate is 7.2 %
How to find the equivalent monthly growth rate?Since the number of computer security breaches is expected to increase at a yearly rate of 86%. Using the exponential growth model we need to determine the equivalent monthly rate
.
What is exponential growth model?The exponential growth model is given by y = A(1 + r)ⁿ where
A = initial value,r = growth rate and n = timeWhat is growth rate?This is the rate at which the function increases.
Since the number of computer security breaches is expected to increase at a yearly rate of 86% we have that the growth rate, r = 86% per year.
To find the monthly growth rate, we covert this to per month by dividing by 12.
So, the monthly growth rate r' = r/12
= 86%/12
= 7.16 %
≅ 7.2 %
So, the monthly growth rate is 7.2 %
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Answer:
5.3%
Step-by-step explanation:
I took the test.
A football team averaged a loss of 8 yards in each of 4 plays. If they did not gain any yards, what was the net yardage the team had after those 4 plays?
What is the answer?
The net yardage the team had after those 4 plays is -32.
How to calculate the value?From the information, the football team averaged a loss of 8 yards in each of 4 plays.
In a situation where they did not gain any yards, the net yardage the team had after those 4 plays will be:
= Yards loss × Number of matches
= -8 × 4
= -32
This illustrates the concept of multiplication that was used to calculate the net yardage.
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283x416 in algorithm
Answer:
120,000
Step-by-step explanation:
To estimate the product of 283 × 416, first round each number so that each number contains only 1 non zero digit.
In this case, we will round 283 to the nearest hundred and we will also round 416 to the nearest hundred. To round 283 to the nearest hundred, the number next to two is higher than 5 so we round up. 283 rounds to 300.
416 rounded to the nearest hundred is 400 because the digit to the right of 4 is less than 5 which means we round down. 416 rounds down to 400.
Now we have 300 × 400 which equals 120,000
This means that 283 x 416 is approximately 120,000.
Answer Asap
Thank u
Angle are ,x = 45 and y = 45
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
x + 45= 90x = 90-45x=45as x and y are alternate interior anglesy = 45Hence,Angle are ,x = 45 and y = 45
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a game is played with tokens according to the following rule. in each round, the player with the most tokens gives one token to each of the other players and also places one token in the discard pile. the game ends when some player runs out of tokens. players aa, bb, and cc start with 15, 14, and 13 tokens, respectively. how many rounds will there be in the game?
As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.
After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.
Go a few rounds to establish the pattern:
Beginning chips: A B C
15 14 13
1st round:
12 15 14
2nd round: 13 12 15
3rd round: 14 13 12
So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.
So after 36 rounds each will be down 12 from the beginning:
A B C
3 2 1
On the 37 round A will give up his 3 to end at 0
37
For more clear understanding:
As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.
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1 the leftmost end point of a line segment must be specified as the start point of the line. true false
False, the leftmost end point of a line segment cannot be specified as the start point of the line
Define line segment.A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A line segment is either an edge (of that polygon or polyhedron) if its end points are adjacent vertices, or a diagonal more generally when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its end points are located on a curve, like a circle.
Given,
False, the leftmost end point of a line segment cannot be specified as the start point of the line.
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The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”
What is the converse of the original statement?
The converse of the statement that says that If an item is not worth five dimes, then it is not worth two quarters is: If an item is worth five dimes it is worth two quarters.
What is the converse of a statement?By swapping the hypothesis and the conclusion, a statement can be made to mean the opposite. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel." If q, then p is the opposite of "if p, then q."
The converse of a statement may not always have the same truth value as the original. For instance, "All mammals are tigers" is the polar opposite of "All tigers are mammals." This is undoubtedly untrue.
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At the 2004 athens olympics, the ration of canadas gold medals to greeces gold medals was 1:2. together,canada and greece won. 9 gold medals.how many did canada and greece win
The total number of medals won by Canada is 3 and Greece's 6,
Here we have to find the number of medals won by Canada and Greece.
The ratio of medals won by Canada and Greece is 1: 2.
The total number of medals won = is 9
The common number is x.
Medal won by Canada = x
Medal won by Greece = 2x
So we get the equation:
x + 2x = 9
3x = 9
x = 3
So the total medal won by Canada = 3
The total medal won by Greece = 2 × 3= 6
Therefore the number of medals won by Canada and Greece is 3 and 6 respectively.
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Solve for a in terms of b, c, and d.
c=a+b–d
What is the Value of a,b,c and d?
Answer:A is 7 B is -1 C is -9 D is -13
Step-by-step explanation: I hoped i have helped u! Have a wonderful day!
ints
mily
Question 5
Which of the following is true?
O1-51-4
O1-41 <1-51
O1-51-5
O 1-41 > 151
Question 6
After simplification, the second option |−4| < |−5| is true.
In the given question,
There are four options. We have to check which option is true.
The given options are
1) |−5| < 4
2) |−4| < |−5|
3) |−5| = −5
4) |−4| > |5|
To find the true option we solve the given option one by one.
The first option is
|−5| < 4
Now solving
As we know that every value from the mod always give positive value.
So if we solve |−5| then the value is 5 and 5 is greater than 4. But in the given statement states that 4 is greater that 5. So the first statement is wrong.
Now solving the second statement.
|−4| < |−5|
After solving |−4|, the value is 4 and |−5| is 5.
So the simplified statement is 4 < 5 which is true.
Hence, the second statement is true.
Now we get the true statement so we haven't solve any further option.
If you want the solve next option the the way of solving the option is same.
Hence, the second option |−4| < |−5| is true.
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reggiethenerd10 what is (8.7 + 3.3) x (1/2) 2 to the second power
Answer:
3
Step-by-step explanation:
The value of the operation is 3.
The first step is to solve for the terms in the brackets.
The decimals would be added first 8.7 + 3.3 = 12
The second step is to determine the square of one-half² = x = 1/4
The third step is to multiply, 1/4 by 12 1/4 x 12 = 3
Translate "eight more than the sum of y and x" into a variable expression.
Answer:
(y+x)+8
it is expressed like that i think
Answer:
(Y+x)+8
Step-by-step explanation:
Solve for s in terms of p, q, and r.
q= –spr
Answer:
[tex]\sf s =\dfrac{-q}{pr}[/tex]
Step-by-step explanation:
Solve for s:q = -spr
-spr = q
Isolate 's' by dividing both sides by (-pr).
[tex]\sf \dfrac{-spr}{-pr}=\dfrac{q}{-pr}\\\\\\ s = \dfrac{-q}{pr}[/tex]
What is the amount of M
The value of ∠M is, 30
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
∠m + ∠30=60∠m= 60-30=30Hence,The value of ∠M is, 30
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simplify (-2b⁵)2 step by step
Please Help Me, I need an answer ASAP.
The measure of < BAP in the figure of the circle is 30 degrees
How to find < BAP< ACB covers same angle as < APB
therefore
< ACB = < BAP = 120
complete the line PB to form another radius. since radius of a circle are equal, an isosceles triangle is created
Isosceles triangle has a unique property of 2 equal equal sides and equal base angles. one of the angles of the isosceles triangle is < BAP
solving with the new triangle APB
< BAP = < PBA (base angles of isosceles triangle)
< BAP + < PBA + 120 = 180
2 < BAP = 180 - 120
2 < BAP = 60
< BAP = 30 degrees
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A landscaper has 105 small shrubs to plant on the grounds of a park. he wants to plant the shrubs in equal groups. what different sized groups could he make
The different-sized groups are three groups of each size (35), five groups of each size (21), and seven groups of each size (15).
Given that;
A landscaper must plant 105 little bushes on a park's grounds. He intends to divide the bushes into equal groups.
We are asked to find what different-sized groups could a landscaper can make.
Here, we use Prime factorization;
Let,
∴ 105 = 3 * 5 * 7
From the above factors, we can find different groups as;
3 groups of each sized 35.
5 groups of each sized 21.
7 groups of each sized 15.
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Round 837 to 1 significant figure
Answer:
800
Step-by-step explanation:
we gotta go with the highest value to round since it’s only one sig fig
In order to round to 1 significance the remaining digit will marks as zero thus 837 to 1 significant figure will be 800.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we keep as it is and if it is 5 or greater than 5 then we will round up.
In order to round to 1 significance the remaining digit will mark as zero
As per the given,
837 Here, 1 significant figure is 8.
The ramainging digit = 3 and 7
Put 0 instant of 3 and 7
837 → 800
Hence "In order to round to 1 significance the remaining digit will marks as zero thus 837 to 1 significant figure will be 800".
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Tyler uses 7.5 ounces of barbecue sauce from a full bottle.
He estimates that he used about 25% of the barbecue sauce in the bottle. About how much barbecue sauce was in the full bottle?
There was about
30
ounces of barbecue sauce in the full bottle.
b. Tyler uses 20% of the remaining barbecue sauce.
About how many ounces did he use the second time?
Tyler poured about
4.5
ounces the second time.
Barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.
Given:
Tyler uses 7.5 ounces of barbecue sauce from a full bottle ,he estimates that he used about 25% of the barbecue sauce in the bottle.
25% = 7.5
multiply by 4 on both sides
25%*4 = 7.5 * 4
100% = 75/10 * 4
= 300/10
Full bottle = 30 ounces.
b.
Tyler uses 20% of the remaining barbecue sauce.
Remaining sauce = 30 - 7.5
= 22.5
= 22.5*20/100
= 2.25*20/10
= 2.25*2
second time= 4.50 ounces
Therefore barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.
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Simplify the following expressions to simplest form using only positive exponents.
(49x^10y^16)^-5/2
(125x^-18y^9)^5/3
The equivalent expressions using only positive exponents are 1/(7x⁵y⁸)⁵ and (5y³/x⁶)⁵
How to simplify the expressions?Expression 1
From the question, the expression is given as
(49x¹⁰y¹⁶)⁻⁵/²
Express the radicals as roots
So, we have
(49x¹⁰y¹⁶)⁻⁵/² = √[(49x¹⁰y¹⁶)]⁻⁵
Take the square root of each of the factor in the bracket
This gives
(49x¹⁰y¹⁶)⁻⁵/² = (7x⁵y⁸)⁻⁵
Apply the negative exponent rule of indices
So, we have
(49x¹⁰y¹⁶)⁻⁵/² = 1/(7x⁵y⁸)⁵
Expression 2
From the question, the expression is given as
(125x⁻¹⁸y⁹)⁵/₃
Express the radicals as roots
So, we have
(125x⁻¹⁸y⁹)⁵/₃ = ∛[(125x⁻¹⁸y⁹)]⁵
Take the cube root of each of the factor in the bracket
This gives
(125x⁻¹⁸y⁹)⁵/₃ = (5x⁻⁶y³)⁵
Apply the negative exponent rule of indices
So, we have
(125x⁻¹⁸y⁹)⁵/₃ = (5y³/x⁶)⁵
Hence, the equivalent expression is (125x⁻¹⁸y⁹)⁵/₃ = (5y³/x⁶)⁵
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Sam catches a sale on airline tickets that are being discounted 15%. He purchases a flight that normally costs $235. What is the new price of the flight?
The new price of the flight is $208.25
How to determine the new price of the flight?In this question, we have the following parameters
Discount proportion = 15%
Cost of flight = $245
This means that
New price = Cost of flight x (1 - Discount proportion)
Substitute the known values in the above equation, so, we have the following representation
New price = $245 x (1 - 15%)
Evaluate the product
New price = $208.25
Hence, th new price is $208.25
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An adult sleeps about 480 minutes per day an infant sleeps about 820 minutes per day about how many more minutes does an infant sleep than an adult in one week. What is the given information that will be used to solve the problem?
Answer:2380 minutes. By saying how many more minutes does an infant sleep than an adult in one week impies that you have to subtract how long an adult sleeps taken away from the amount of time an infinte sleeps. Once you get the answer you multiply it by seven.
Step-by-step explanation:
Answer:340 minutes
Step-by-step explanation:you subtract the amount an infant sleeps (820 minutes) by the amount an adult sleeps (480 minutes)
820-480=340
What is the graph of f(x) = 3x – 4, where x ≥ 1?
The required graph of the given expression f(x) = 3x – 4, is shown.
Given that,
To draw the graph of the expression f(x) = 3x – 4, for the domain x ≥ 1.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
y = f(x)
Given expression,
f(x) = 3x – 4,
So,
y = 3x - 4
For the domain y x ≥ 1,
Since the function given is a linear function and the graph will be a straight line of the slope m = 2,
Thus, the required graph of the given expression f(x) = 3x – 4, is shown.
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Find x and m
Giving brainlist to fastest reply that’s correct! Also liking answers for trying to answer <3
Answer:
x=21, m<s=95
Step-by-step explanation:
85+5x-10=180
75+5x=180
5x=105
x=21
m<S= 5(21)-10
m<S= 105-10
m<s=95
what is the unit rate for $44 in 4 days
Answer:11
Step-by-step explanation: 44 divided into 4 is 11.
Answer:
The answer would be 11
Step-by-step explanation:
Because, 44 divided by 4 = 11
9.
X
22
9. W
Y
36%
(4w+14)
R
36%
In the given figure, w= 27
What is the Side Angle Side theorem?The two triangles are congruent if the two sides of one triangle are equal to the two sides of another triangle and the angles formed by the two sides of each triangle are equal. The "Side-Angle-Side" triangle congruence theorem is referred to as the SAS Criterion.The Side-Angle-Side theorem of congruency states that, if two sides and the angle formed by these two sides are equal to two sides and the included angle of another triangle, then these triangles are said to be congruent.Verification:
Let's perform an activity to show the proof of SAS. Given: AB=PQ, BC=QR, and ∠B=∠Q. To prove: ΔABC ≅ ΔPQRPlacing the triangle ABC over triangle QPR will cause B to fall on Q and the AB side to coincide with the PQ side.Point A falls on point P because of AB=PQ.The side BC will fall along the side QR since B=Q.Point C is in line with point R since BC=QR. As a result, BC and QR coincide, while AC and PR coincide.ABC will therefore match QPR. Consequently, ABCPQR. This exemplifies the SAS congruence criterion.Solution
From SAS
XY=QP and YZ=QR
therefore ∠Y = ∠Q
since the interior angles of the triangle are supplementary
∠Y + ∠X +∠Z = 180
∠Y + 22 + 36 = 180
∠Y = 180 - 58 = 122
therefore, ∠Q is also equal to 122
and (4w+ 14) =122
122 - 14 = 4w
108 = 4w
w = 108/4 = 27
Hence, from the SAS criterion
w is equal to 27
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- 6 000 frs for 3 years at 4% p.a.
- 2 000 frs for 2 years 3 months at 3% p.a.
Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
Amount A = P(1+rt)
6000 = p(1+4*3)
6000 = p13
p = 6000/13
p = 461.5
Amount A = P(1+9/2*3)
2000 = P*27/2
P = 2000*2/27
P = 148.1
Therefore Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.
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Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
6, (2, 8) 7, (2,10)
The equation of the straight lines are:
For m = 6 and (x1, y1) = (2, 8) => y = 6x - 4
For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4
We know that the equation of a line with gradient m and y-intercept is:
y = mx + c.
We need to find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
We know the point-slope form of equation of line,
(y - y1) = m(x - x1)
For m = 6 and (x1, y1) = (2, 8)
(y - 8) = 6(x - 2)
y - 8 = 6x - 12
y = 6x - 4
For m = 7 and (x1, y1) = (2, 10)
(y - 10) = 7(x - 2)
y - 10 = 7x - 14
y = 7x - 4
Therefore, the equation of the straight lines are:
For m = 6 and (x1, y1) = (2, 8) => y = 6x - 4
For m = 7 and (x1, y1) = (2, 10) => y = 7x - 4
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