In linear equation, the distance of the flowerbed from the hive is 2250 feet.
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.Let , the distance of the flowerbed from the hive is feet.
The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.
time = distance / speed
So, the time taken by the bee to reach the flowerbed x/20 seconds and the time taken to fly back to the hive = x/12 seconds.
The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.
So, the equation will be
x/20 + x/12 + 900 = 1200
3x + 5x / 60 = 300
8x = 300 * 60
x = 2250
Thus, the distance of the flowerbed from the hive is 2250 feet.
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Which graph represents the system of inequalities?
y+2<5x
y+3x>4
y≥2x
Answer:
2nd graph above the one you chose
HELP PLEASE! 100PTS!
You're playing a game of pool and it's your turn, but you have no direct shots. To make any shot, you will need to bank the cue ball (the white ball) off the side of the table before it hits your ball.
That means that you hit the cue ball so that it bounces off the side and then hits your colored ball, moving it in the direction of a pocket (hole). The angle that the ball hits the bumper is equal to the angle that it bounces off the bumper.
The cue ball is 18 inches from the top bumper (side of pool table) and 50 inches from the right bumper. The dimensions of the pool table are 96 inches in the horizontal direction by 46 inches in the vertical direction
By Solving this proportion will give you the value of the angle you need to aim your shot.
What is angle of elevation ?
angle elevation can be defined as the angle formed between line of sight and horizontal line.
Draw a diagram of the pool table, labeling the dimensions of the table and the position of the cue ball.
Since the cue ball is 18 inches from the top bumper and 50 inches from the right bumper, you can draw a right triangle with these side lengths.
The dimensions of the pool table can also be used to draw a right triangle, with the horizontal dimension (96 inches) as the base and the vertical dimension (46 inches) as the height.
These two triangles are similar because they are both right triangles and they share a right angle. Therefore, the ratios of their sides are equal.
You can use the ratios of the sides of these triangles to determine the angle at which you should aim your shot. To do this, you can set up a proportion using the corresponding sides of the two triangles. For example, you could use the ratio of the base to the height of the small triangle (18 inches to 50 inches) and set it equal to the ratio of the base to the height of the large triangle (96 inches to 46 inches).
Hence, by Solving this proportion will give you the value of the angle you need to aim your shot.
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Name two biotic factors you might find in a forest ecosystem.
See the source image
a
rocks and trees
b
grass and trees
c
water, and plants
d
rocks and soil
Answer:
123456
Step-by-step explanation:
irdk
Plz need helppppppppppp
Describe the slope of the line
(please answer m=) aswell.
You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 4 5 6 Before 185 220 190 158 227 211 After 175 215 195 155 230 207 Participant | 7 ー 19 | 10 |11 | 12 | Before 260 156 201 300 180 270 Afer 258 159 201 290 172 272 Participant 13 14 15 16 17 18 Before 293 183 |205 151 291 166 After 290 185 200 146 287 166
The claim that a drug is effective at 1% is not sufficiently supported by the available data.
Participant 1 2 3 4 5 6
Before 185 220 190 158 227 211
After 175 215 195 155 230 207
Difference = Before - After = 10 5 -5 3 -3 4
Participant 7 8 9 10 11 12
Before 260 156 201 300 180 270
After 258 159 201 290 172 272
Difference = Before - After = 2 -3 0 10 8 -2
Participant 13 14 15 16 17 18
Before 293 183 205 151 291 166
After 290 185 200 146 287 166
Difference = Before - After = -7 -2 5 5 4 0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44
The mean of d, \(d`\) = Σd / n = 44 / 18 = 2.44
The standard deviation, S.d = 4.45 (using calculator)
The test statistic, T : \(d`\) / (S.d/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
P value = 0.0326
α = 0.01
Since P value < α ; we fail to reject H0
So the claim that a drug is effective at 1% is not sufficiently supported by the available data.
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please help me :( I need help
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
On Monday, Haylee rode 2 miles on a bike. On Tuesday, she rode 2 times more than she did Monday. On Wednesday, she rode an additional 3 miles.
How many miles has Haylee ridden so far this week?
Answer:
9 miles
Step-by-step explanation:
M 2
T 4
W 3
Answer: 9 miles
Step-by-step explanation:
Can someone help me
Step-by-step explanation:
the answer is in the above image
Answer:
\(-12^{2}\) + 9a - 5
Step-by-step explanation:
combine like terms :
-7\(a^{2}\) - 5\(a^{2}\) = -12\(a^{2}\)
+3a - (-6a) = 9a
-9 - (-4) = -5
(I WILL GIVE BRAINLESS) 4 Consider the two points given on the graph. Explain what they mean in terms of the situation. Cost ($) Number of Pencils
Answer: Each pencil costs 20 cents.
The first point marks 4 pencils at 80 cents.
The second point marks 5 pencils at 1 dollar.
Answer:
It means every pencil is .2 cents
Step-by-step explanation:
This is because of the slope which is .2/1 means 1 pencil = .2 cents
Shane made a scale drawing of a hotel, which is 18 feet wide in real life, is 51 inches wide in the drawing. What is the scale of the drawing?
17 inches: ____Feet
Line segment st is dilated to create line segment s't' using the dilation rule dq,2.25. point q is the center of dilation. line segment s t is dilated to create line segment s prime t prime. the length of q t is 1.2 and the length of q s is 2. the length of s s prime is x and the length of t t prime is 1.5. what is x, the distance between points s' and s? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units
The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units
How to determine the value of x?The given parameters are:
qs = 2
qt = 1.2
tt' = 1.5
ss' = x
To calculate the value of x, we make use of the following equivalent ratio
ss' : qs = tt' : qt
So, we have:
x : 2 = 1.5 : 1.2
Express as fractions
x/2 = 1.5/1.2
Multiply both sides by 2
x = 2 * 1.5/1.2
Evaluate the product
x = 2.5
Hence, the value of x is 2.5 units
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Answer:
2.5
Step-by-step explanation:
Kendra has a black walnut tree in her yard. To make extra money this fall, she gathers the walnuts off the ground and sells them for $0.45 per pound. If she gathers 53.4 pounds, how much money does she make?
Answer: About $118.66
Step-by-step explanation:
53.4/0.45 is 118.66
Please someone do this for me
Answer:
A = -12
Step-by-step explanation:
A put in -2 for 'x' in the equation to find value
2(-2) - y = 8 add 4 to both sides
-y = 12
y = -12
I think YOU can now find B and C with this method !
4x -2y = 16 solve for y=mx+b
Answer:
y=2x-8
Step-by-step explanation:
Subtract 4 x from both sides of the equation. − 2 y = 16 − 4 x Divide each term by − 2 and simplify. Tap for fewer steps... Divide each term in − 2 y = 16 − 4 x by − 2 . − 2 y − 2 = 16 − 2 + − 4 x − 2 Cancel the common factor of − 2 . Tap for fewer steps... Cancel the common factor. − 2 y − 2 = 16 − 2 + − 4 x − 2 Divide y by 1 . y = 16 − 2 + − 4 x − 2 Simplify 16 − 2 + − 4 x − 2 . Tap for fewer steps... Simplify each term. Tap for fewer steps... Divide 16 by − 2 . y = − 8 + − 4 x − 2 Cancel the common factor of − 4 and − 2 . Tap for fewer steps... Factor − 2 out of − 4 x . y = − 8 + − 2 ( 2 x ) − 2 Cancel the common factors. Tap for more steps... y = − 8 + 2 x Reorder − 8 and 2 x . y = 2 x − 8
Answer:
Y = 2x - 8
Step-by-step explanation:
-2y = -4x + 16
y = 2x - 8
Your welcome
HELP ASAP
1.
(8,4)
(-4,2)
(4,-8)
(-8,4)
2.
(6,6)
(12,-12)
(-12,12)
(12,12)
3.
(-2,6)
(-4,12)
(4,12)
(12,-4)
Answer:
A(-2,1)》A1(-8, 4)
B(-3,3)》B1(-12,12)
C(-1,3)》C1(-4,12)
HOPE IT HELPS....
Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times. You suspect that the calculator is producing fewer fives than it should. Let p = the true long-run proportion of five's produced by the calculator. What is the approximate P-value for this test? (a) -2.24 (b) -2.98 (c) 0.0028 (d) 0.0127 (e) 0.0250
The approximate P-value for this test is D. 0.01267.
How to calculate the p value?From the information, Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times.
The p(cap) will be:
= 8 / 80
= 0.1
The z score will be:
= (0.1 - 0.2) / (✓0.2(0.8)/80
= -0.1 / ✓0.0019
= -2.236
= -2.24
By using the distribution table after getting the z score, the p value is 0.01267.
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What is equidistant from the three vertices of a triangle?
A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders 71 = 300 722 = 750 Number making claims = 57 Number making claims = 105 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value X (to 2 decimals) ® (to 4 decimals) p-value We can conclude that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.
The claim rates between single and married male policyholders are different at the 5% level of significance. The 95% confidence interval for the difference between the proportions of the two populations is between -0.2572 and -0.0428.
To test whether the claim rates differ between single and married male policyholders, we need to perform a two-sample proportion z-test. The null hypothesis is that the claim rates are equal, while the alternative hypothesis is that the claim rates are different.
Using the given data, we can calculate the sample proportions for single and married male policyholders as follows:
p1 = 57/300 = 0.19
p2 = 105/750 = 0.14
The pooled sample proportion is:
p = (57 + 105)/(300 + 750) = 0.15
The standard error of the difference between the sample proportions is:
SE = sqrt(p*(1-p)*(1/300 + 1/750)) = 0.034
The z-value for the test statistic is:
z = (p1 - p2) / SE = 2.35
The p-value for the test is P(Z > 2.35) = 0.0094. Since the p-value is less than 0.05, we reject the null hypothesis and conclude that there is a difference between the claim rates for single and married male policyholders.
To calculate the confidence interval for the difference between the proportions, we use the formula:
(p1 - p2) ± z*(SE)
Substituting the values, we get:
(0.19 - 0.14) ± 1.96*(0.034)
= 0.05 ± 0.0668
= -0.0168 to 0.1168
Therefore, the 95% confidence interval for the difference between the proportions is between -0.2572 and -0.0428. Since the interval does not include zero, we can conclude that the claim rates are indeed different for single and married male policyholders.
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Write as an algebraic expression: the difference of 27 and 5
The algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
How to write the statement as an algebraic expression?The statement is given as:
the difference of 27 and 5
Difference means minus.
The minus sign is represented as -
This means that the statement given as: the difference of 27 and 5
Can be represented as
27 minus 5
So, have
27 - 5
Hence, the algebraic expression of the statement given as the difference of 27 and 5 is 27 - 5
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is the answer OPQ and Q? if not then what
OPQ and QPO
it cant be just Q because Q is in every angle
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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Solve the equation:
3/4x - 12 = 12
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Given the information in the diagram, which lines can be proven to be parallel? Choose all which are true.
Lines 'a' and 'c' are parallel lines.
We have to given that,
There are three lines are shown in image.
We know that,
In a parallel line,
If two angles are alternate angles then both are equal to each other.
And, If two angles are corresponding angles then both are equal to each other.
Now, From the given figure,
In lines a and c,
Corresponding angles are 65 degree.
Hence, We can say that,
Lines a and c are parallel lines.
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reflections please help in failing
with a reserve requirement of 5% and an initial deposit of $400, what is the maximum total amount of money that will be in the money supply? assume that all currency is deposited in a bank 7 banks hold no excess reserves (rr=.05)
The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.
How to find maximum money?To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.
The money multiplier is given by the formula: MM = 1 / reserve requirement.
Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.
The initial deposit is $400.
To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:
Maximum Money Supply = Initial Deposit * Money Multiplier
= $400 * 20
= $8,000.
Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.
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Help a dawg out ag i ain gettin this at all
Answer:
x ≤-2
Step-by-step explanation:
-3(x-3)≤5(1-x)
Distribute
-3x+9≤5-5x
Add 5x to each side
-3x+5x+9≤5-5x+5x
2x+9 ≤5
Subtract 9 from each side
2x+9-9 ≤5-9
2x≤-4
Divide by 2
2x/2 ≤-4/2
x ≤-2
Answer:
This one is D
Step-by-step explanation:
Five sections of fencing around a garden are 7 yards long, 8 3/4 yards long, 12 1/2 yards long, 15 1/3 yards long, and 7 3/4 yards long. What is the total length of the fencing?
Answer: 51.33
Step-by-step explanation:
7+8.75+12.5+15.33+7.75 = 51.33
Fill The Blank ?a function is a rule that assigns to each value of the_____
In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).
A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.
To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.
One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.
Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.
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Find IK
Please help me I’m stuck here Also I don’t feel good I’m sick and this is a quiz
Answer:
30
Step-by-step explanation:
49 - 31 = 18
12 + 18 = 30