The time it will take both the boat and whale to meet is 18minutes(nearest minutes)
What is a displacement?Displacement is defined as the change in position of an object in a specified direction. It is measured in meters and it's a vector quantity.
Since velocity = displacement/time
displacement = velocity ×time
The total space between the boat and the whale is 5miles.
Using addition of vectors
5= v2t - v1t
5= 46t - 30t
5 = 16t
t= 5/16 = 0.3hrs
to minutes, = 0.3 ×60 = 18minutes(nearest minutes)
Therefore it will take the boat and the whale 18minutes to meet.
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A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorator’s fee was 12% of the purchases, not including the tax.
Question 1
Part A
Write an equation in the form of y=kx, using x to represent the decorator’s fee. Then use the equation to calculate the amount of that fee.
Answer:
Step-by-step explanation:
Worth of furnishings = $1580
Tax rate = 4.5%
Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10
Amount paid = $1580 + $71.10 = $1651.10
Since the decorator's fee was 12% of the purchases. This will then be calculated as:
y = kx
where,
y = decorators fee
k = percentage of decorators fee on purchases
x = amount paid
y = 12% × $1651.10
= 0.12 × $1651.10
= $198.132
Without dividing explain whether the quotient of 9/10 ÷ 3 is greater than or less than the quotient of 9/10 ÷ 2.
Answer:
less than
Step-by-step explanation:
when you divide by a bigger number the smaller the quotient will be
Hopes this helps please mark brainliest
How do I prove that the square of an odd number is always one more than a multiple of 8?
The proper way that you can prove that the square of an odd number is always one more than a multiple of eight is by using an example.
What is an example?An example is a term that refers to a tool that is intended to explain, illustrate, or prove a general statement. When we want to explain a procedure we can give an example (that we have previously chosen) to seek to clarify the understanding of a phenomenon or process.
How to make an example for this case?To prove that the square of an odd number is always a multiple of eight, the first step is to find the square of any odd number. Subsequently, we must subtract 1 from the result. Finally we must divide the previous result by 8 and it must give us an exact number (not a decimal).
3 * 3 = 9
9 - 1 = 8
8 / 8 = 1
123 * 123 = 15,129
15,129 - 1 = 15,128
15,128 / 8 = 1,891
9 * 9 = 81
81 - 1 = 80
80 / 8 = 10
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The volume of a sphere with radius x is 3x³ units, and the volume of
a cube with side length x is x³ units³.
a. Find the total combined volume of the sphere and cube.
b. How much more volume does the sphere contains
V = 4/3 r3, where V is the volume and r is the radius, is the formula for a sphere's volume. A sphere's radius is equal to half of its diameter.
How do you find the volume of a sphere?Every point on the volume's surface will be equally far from its centre if the surface area is doubled by the diameter. The formula shown below is used mathematically to determine a sphere's volume: The formula for a sphere's volume is 4/3 r3, where r is the sphere's radius.In On Sphere and Cylinder, where Archimedes firmly demonstrated that VS:VC=2:3, where VS is the volume of a sphere and VC is the volume of the circumscribed cylinder, was undoubtedly the first significant step (he also gave proportion for the surface area).The Radius of a circle or sphere is equal to the Diameter divided by 2.Given data :
radius = 3x²
volume of sphere = V = 4/3 π r³
v = 4 x π x (3x²)[tex]{3}[/tex] / 3
= 4π.[tex]x^{5}[/tex]
volume of cube = side3
= (x²)[tex]^{3}[/tex]
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5) Simplify the expression and identify any restrictions on x.
Answer:
attached in the file
The graph of g(x) was obtained by translating the graph of f(x). Based on the graph, which equation can be used to describe g(x) in terms of f(x) ?
A g(x)=-f(x+2)+1
C g(x)=f(x+2)+1
B g(x)=-f(x-2)+1
D g(x)=f(x-2)+1
The equation that can be used to describe g(x) in terms of f(x), considering the transformations, is given as follows:
A. g(x)=-f(x+2)+1.
What are the transformations?From the image given at the end of the answer, the function f(x) is given as follows:
f(x) = x².
The transformations to obtain function g(x) are given as follows:
Reflection over the x-axis, hence g(x) = -f(x).Shift right by 2 units, hence the transformation is: x -> x - 2.Shift up by 1 unit, hence g(x) - > -f(x - 2) + 1.Meaning that option A gives the correct option to describe the function g(x) as a function of the function f(x).
Missing InformationThe functions are given by the image presented at the end of the answer.
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What is the domain of the function
f(x) = 2x + 3
when the range is {3, 5, 9}?
Answer:
Domain: {9, 13, 21}
Step-by-step explanation:
BRAINLIEST PLEASE!!!Answer:
(0,1,3)Step-by-step explanation:
f(x)=2x+3let y= f(x)y=2x+3interchanging x and y in the expression x=2y+3making y the subject in the equation y=(x-3)/2f(x)-¹=(x-3)/2when x= 3 =(3-3)/2 =0when x=5 =(5-3)/2 = 1when x= 9 =(9-3)/2 = 3If each 3 in. on the scale drawing below equals 5 yards, what is the actual area of the shape in square units?
A square is drawn with a side length of 3 inches.
The actual area of the square with a side length of 3 inches is 25 yd² if 3 in. equals 5 yard.
How to solve an equation?An equation is an expression that can be used to show the relationship between variables and numbers.
Given that 3 in. on the scale drawing below equals 5 yards.
A square is drawn with a side length of 3 inches. Hence:
Side length of square = 3 in = 5 yards.
Area of square = side length² = 5 yd * 5 yd = 25 yd²
The actual area is 25 yd²
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For the 5-pointed star and the 8-pointed star, experiment with the Spider Tool to find a
second rotation that gives you the same figure. Make a conjecture about the relationship
between two rotations that make the same figure. Then see whether your conjecture works for a
12-pointed star. (4 points: 1 point each for the second rotations, 1 point for a valid conjecture, 1
point for testing the conjecture)
The spider tool makes a conjecture about the relationship i,e, each of rotation then 12 turns is 150°
If we number the points of the star 1–12, in order for the star to be symmetrical, each point must connect to two points symmetrically located around the center line.
That is, point 1 may connect to points {2, 12} or {3, 11} or {4, 10}, or {5, 9} or {6, 8} or {7, 7}. For each of these connections, the angle made at the point of the "star" is, respectively, 150°, 120°, 90°, 60°, 30° or 0°. For these angles, the figure obtained will be ...
150° - dodecagon, a 12-sided figure
120° - hexagon
90° - square
60° - equilateral triangle
30° - 12-pointed star
0° - straight line
We suspect the star you're interested in is the one with points that are 30°. In order to have that point angle, the spider must make a turn of 180° -30° = 150°.
The spider will make 12 turns of 150°, for a total of 1800°, for a total of 5 full turns of 360°.
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find the derivatives of cos
Step by step solution is above
researchers examined the hyper-eating behavior known to occur with cannabis use and the effect of the opioid-blocker naloxone (nalo) on this behavior. they randomly assigned lab mice to 4 conditions (shown below) and measured the mice feeding response (in mg). is there evidence that the treatments affect the mean feeding response in mice? nalo cannabis nalo control cannabis 10 10 20 130 40 50 30 150 40 60 40 150 120 80 80 190 120 120 170 250 140 160 (you can copy/paste the data into crunchit from menu edit / paste spreadsheet.) state the appropriate null and alternative hypotheses run the appropriate test. the test p-value you obtain is a value between
Alpha one is equal to two is the null hypothesis and the alternate hypothesis says at least one pair is different.
Classification modes X is alpha + ц T and X is ц T + alpha
Therefore , P value is 01.0197
Therefore, This value is smaller than 0.0 , this is the decision rule.
The null hypothesis will be rejected at that point since there is enough data to say that the therapy had a meaningful impact.
The null hypothesis means that there will be no observed effect in our experiment. In a mathematical formulation of the null hypothesis, there will typically be an equal sign. This hypothesis is denoted by H0.
The alternate hypothesis means that there will be an observed effect for our experiment. In a mathematical formulation of the alternative hypothesis, there will typically be an inequality, or not equal to symbol. This hypothesis is denoted by either Ha or by H1.
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After forming two right triangles, which right triangle theorem did you have to use twice to solve for side lengths that were not in the final equation? the tangent theorem the pythagorean theorem the right triangle theorem the cosine theorem.
Answer:
b
Step-by-step explanation:
no
Answer:
The answer is B. the Pythagorean theorem
Step-by-step explanation:
brainiest pls?
Michael swam 2,000 yards on each of eighteen days.
The scatterplot above shows his swim time for and
corresponding heart rate after each swim. The line of
best fit for the data is also shown. For the swim that
took 34 minutes, Michael's actual heart rate was
about how many beats per minutes less than the rate
predicted by the line of best fit?
A) 1
B) 2
C) 3
D) 4
Michael's actual heart rate was about 2 beats per minutes less than the rate predicted by the line of best fit. The correct option is B
What is a scatterplot?A scatterplot is a data visualization that depicts the relationship between two numerical variables. Each dataset member is plotted as a point whose x-y coordinates correspond to its values for the two variables.
On each of the eighteen days, Michael swam 2,000 yards. The scatterplot above depicts his swim time and heart rate after each swim. The data's best fit line is also shown.
From the graph the actual heart rate=150
but calculated heart rate from best fit line=148
Difference between actual and calculated=150−148=2
Option B is correct.
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please help!! easy question but cant seem to figure out
Viv and Ian were trying to describe parts of the expression 5(x+7)
Viv said, "The entire expression is the product of 3 factors."
Ian said, "On its own, (x+7) sum with 2 terms."
The expression 5(x + 7) has a sum of two terms 5x and 35.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, an expression 5(x + 7).
Now distributing 5 to x and 7 we get 5x + 35.
So, The expression 5(x + 7) has the sum of two terms.
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A ladder leans against a wall inside a spaceship. From the point of view of a person on the ship, the base of the ladder is 2.70 m from the wall, and the top of the ladder is 5.13 m above the floor. The spaceship moves past the Earth with a speed of 0.85c in a direction parallel to the floor of the ship. Find the angle the ladder makes with the floor, as seen by an observer on Earth.
Angle of the ladder with the floor is 74.5°.
We have given that,
base of the ladder from the wall, x₀ = 2.70 m
top of the ladder above the floor y = 5.13 m
speed of the spaceship = 0.85 c
and we have to find the angle ladder makes with the floor, θ.
From the given information we will construct a diagram.
From the diagram,
tanθ = y/x₀
tanθ = y / x₀√(1- V^2 / c^2)
we will substitute all the values,
tanθ = 5.13 / 2.70√(1-((0.85c)^2 / c^2))
= 5.13 / 2.70√(1-(0.85^2))
= 5.13 / 2.70√(1 - 0.7225)
= 5.13 / 2.70√0.2775
= 5.13 / 1.4223
tanθ = 3.606
θ = tan⁻¹(3.606)
θ = 74.5°
Therefore angle the ladder makes with the floor is 74.5°.
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An animal rescue group recorded the number of adoptions that occurred each week for three weeks:
There were x adoptions during the first week.
There were 10 more adoptions during the second week than during the first week.
There were twice as many adoptions during the third week as during the first week.
There were a total of at least 50 adoptions from the animal rescue group during the three weeks.
Write an inequality that represents all possible values of x, the number of adoptions from the animal rescue group during the first week.
An inequality that represents all possible values of x, the number of adoptions from the animal rescue group during the first week is x ≤ 10.
How to write an inequality that represents all possible values of x?In order to write an inequality that represents all possible values of x, we would assign a variable to the number of adoptions, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of adoptions.
Therefore, translating the word problem into an algebraic equation, we have the following;
For the first week, the number of adoptions is x while the number of adoptions during the second week was 10 more than number of adoptions in the first week (x + 10), with twice as many adoptions for the third week (2x), and a total of at least (≥) 50 adoptions during the three weeks.
Combining the expressions together, we have:
x + (x + 10) + (2x) ≤ 50
x + x + 10 + 2x ≤ 50
4x + 10 ≤ 50
4x ≤ 50 - 10
4x ≤ 40
x ≤ 40/4
x ≤ 10.
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Suppose that f is an exponential function with growth factor 2.4 and that f(0) = 3. Find f(3)
For the given exponential function, the value of f(3) would be f(3) = 41.472.
What is an exponential function?
The exponential function is a mathematical function that is represented by f(x)= e^x. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.
The given function would be [tex]f(x)=ab^x[/tex].
The growth factor is b = 2.4
[tex]f(0) = ab^0\\\\a=3\\[/tex]
Now find f(3),
[tex]f(3)=3.(2.4)^x\\\\ f(3) = 3*(2.4)^3\\\\\f(3) = 41.472[/tex]
Hence, the value of f(3) would be f(3) = 41.472.
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If Tamara travels 10 mi to a store after she leaves the park, what point on the graph represents the store
Answer:
The correct option is C
Step-by-step explanation:
The total variance is $35,000. The total materials variance is $14,000. The total labor variance is twice the total overhead variance. What is the total overhead variance?.
The total overhead variance is $7,000
What is variance?
Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a collection of data (numbers) are from their mean (average) value.
Finding the predicted difference of departure from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.
Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data dispersion from mean.
Total labor and overhead variance = 35000-14000 = 21000
Total overhead variance = 21000/(2+1)*1 = 7000
Thus, total overhead variance is $7,000
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The perimeter of a parallelogram is 80 m. If the longer side is 10 m greater than the
shorter side, then find the length of each side
The dimension of the parallelogram is length = 25 m and width = 15 m.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
The perimeter of a parallelogram is 2(length + breath).
Let the breath of the parallelogram be x.
Given that the length of the parallelogram is 10 m longer than width.
The length of the parallelogram is (x + 10)m
The perimeter of the parallelogram is 2(x+10 +x) = 2( 2x + 10)
According to the question,
2(2x + 10) =80
Divide both sides by 2
2x + 10 = 40
Subtract 10 from both sides:
2x = 30
Divide both sides by 2
x = 15
The length of the parallelogram is (10 + 15) m = 25m.
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Tapiwa raked 5%, percent more leaves than Adam raked. Tapiwa raked 357 liters of leaves. How many liters of leaves did Adam rake?
HELP ASAP!
The number of liters of leaves that Adam rakes will be 340.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Tapiwa raked 5%, percent more leaves than Adam raked. Tapiwa raked 357 liters of leaves.
Let the number of leaves that Adam raked be 'x' and the number of leaves that Tapiwa raked be 'y'. Then the equations are given as,
y = 1.05x ...1
y = 357 ...2
From equations 1 and 2, then we have
1.05x = 357
x = 357 / 1.05
x = 340
The number of liters of leaves that Adam rakes will be 340.
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evaluate the given integral by changing to polar coordinates. sin(x2 y2) da r , where r is the region in the first quadrant between the circles with center the origin and radii 1 and 3
Using polar coordinates, the result for integral is - 0.448[tex]\pi[/tex]
What is polar co-ordinates?
In arithmetic, the polar coordinate system may be a two-dimensional organization within which every purpose on a plane is set by a distance from a indicator and an angle from a reference direction.
Main body:
The most used relation for polar coordinates is:
[tex]x^{2} +y ^{2} =r^{2}[/tex]
An integral in Cartesian coordinates is converted to polar using:
[tex]\int\int{f(x,y)} \, dA = \int\int{ f(r, \beta )d\beta[/tex]
In this problem:
f(x,y) = sin [tex]x^{2} +y^{2}[/tex]
thus
f(r,[tex]\beta[/tex]) = sin[tex]r^{2}[/tex]
Region between the circles with center at the origin and radii 1 and 3, thus the inner limits of integration are r =1 and r =3.
First quadrant, thus, the outer limits of integration are: [tex]\beta[/tex] = 0,[tex]\beta[/tex] = [tex]\pi /2[/tex].
The polar integral is:
I = [tex]\int\limits^3_1 {sinr^{2} r} \, dr[/tex]
Using substitution:
u =[tex]r^{2}[/tex] ⇒ du = 2rdr⇒ dr = du /2
I = 1/2[tex]\int\ {sin u} \, du[/tex]
= -[tex]cos r^{2[/tex] /2 where limits are 3, 1
Applying the fundamental theorem of calculus:
I = [tex]-cos 5^{2} /2[/tex][tex]-cos1^{2}/2[/tex]
I = - 0.996
Then, the outer integral is:
O =[tex]\int\limits^\pi _0 {-0.996} \, d\beta[/tex]
O= - 0.448[tex]\pi[/tex]
Hence the result for integral is - 0.448[tex]\pi[/tex]
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jasmine is 5 years younger than twice her sister age of jasmine sister 22 year old then how old is jasmine
Answer:
100000000000000000000000000
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think the answer is 12
Make x the subject of m=n+x/p
Answer:
x=mp-n
Step-by-step explanation:
Switch sides:
(n+x)/p=m
Then multiply both sides by p:
n+x=mp
Move n to the other side:
x=mp-n
Examine the table, which represents the number of guests visiting a museum during a period of time.
If the relationship between hours and guests is proportional, what is the value of h?
Enter your answer as a number, like this: 42
Answer:
7
Step-by-step explanation:
649-531=118
We know that there are 118 more guests per hour.
Divide 826 by 118 to get 7.
Answer: 7
Step-by-step explanation:
The first line of the table is 2 and 236 if you divide 236 by 2 you get 118
Then after that you times it by any number after 5.5 until you get 826.
does someone mind helping me with this? Thank you!
Answer:
the answer is 8
Step-by-step explanation:
it's a directly proportional relationship
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.
S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}
Answer:
S: {-2, -3}
Step-by-step explanation:
We can find which integers will make the inequality true by solving for p:
[tex]2p-8 < 5p+4\\2p < 5p+12\\-3p < 12\\p > -4[/tex]
Since the solution to the inequality is p > -4, any integers greater than -4 will make the inequality true.
S:{-2, -3} is the only answer where all the integers are greater than -4.
Rewrite the equation shown in slope-intercept form. Identify the slope of the equation, the xintercept and the y-intercept. Then graph the equation. Make sure to show all your work in the
spaces provided.
Answer:
x^2 + 10
Step-by-step explanation:
*16 (b)
(√3-1) cm
A
75°
B
You are given that sin 75º =
5√2 cm
√3+1
2√2
Show that the area of triangle ABC is 2½ cm²
Nof
acc
C
Answer:
Step-by-step explanation:
78 sin
(+0
a study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
The response variable in this study is
Yield of crop.
"Information available from the question"
In the question:
A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
Now, According to the question:
Let's know:
What is called fertilizer?
A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".
The answer is:
Yield of crop.
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The complete question is this:
A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is
