Graph 1 and 3 will represent the cost of raspberries and blueberries perfectly.
How to illustrate the graph?The general equation of a straight line is
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of straight line also represents direct proportionality as y = mx
m = y/x
[m] is constant of proportionality.
We have Raspberries (R) cost twice as much as blueberries (B). The prices of blueberries and raspberries represent proportional relationships. In this case, 1 and 2 Illustrates this perfectly.
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Complete question
Raspberries cost twice as much as blueberries. A B The prices of blueberries and raspberries represent proportional relationships. Cost (dollars) Raspberries Weight (lb.) Raspberries Select all of the graphs that could represent the cost of raspberries and blueberries. (Select all that apply.)
Statistics, need help finding the mode, median and mean.
(Frequency distribution)
The mean, median and mode are calculated and shown below.
Define Mean, Median and Mode for a given set of data.The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.The median is the middle value when a data set is ordered from least to greatest.The mode is the number that occurs most often in a data set.Given a frequency graph as shown in the image.
We can write the given data set as -
7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 15, 15, 15.
We can write the mean value as -mean {m} = (7 x 4 + 9 x 6 + 11 x 6 + 13 x 5 + 15 x 3)/24
mean {m} = 10.75
We can write median value as -[tex]\mathrm{Med}(X) = \begin{cases} X[\frac{n+1}{2}] & \text{if n is odd} \\ \frac{X[\frac{n}{2}] + X[\frac{n}{2}+1]}{2} & \text{if n is even} \end{cases}[/tex]
(X) = {X(24/2) + X(24/2 + 1)}/2 = {X(12) + X(13)}/2 = 22/2 = 11
(X) = 11
We can write mode values as : 9 and 11.Therefore, the mean, median and mode are calculated and shown above.
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6. Higher Order Thinking Helen makes
the rectangle on the right from tiles.
Each tile is 1 unit square. Helen says the
white tiles cover more area than the
black tiles. Do you agree? Explain.
On solving the provided question we cans ay that - the area of the rectangle will A = 121 cm sq.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
So we have been provided with,
L = 11 cm and B = 11 cm
so, A = L X B = 11 X 11 = 121 cm sq.
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A measure of a person's ability and willingness to pay debts on time.
ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.
What is an equation?There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.
X now has 300 mg of sodium in it.
[tex]x = 300[/tex]
Y also has 450 mg of sodium in it.
[tex]y = 450[/tex]
Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.
Let the number of frozen dinners be "b," and the number of soup cans be "a."
ax + by = 6000
a(300) + b(450) = 6000 .
Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation
[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]
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helppp me please i need help
Evaluate the expression when a = 1/4 and b = 6 5b/32a^2
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{5b}{32a^2}}[/tex]
[tex]\mathsf{= \dfrac{5(6)}{32(\dfrac{1}{4})^2}}[/tex]
[tex]\mathsf{= \dfrac{30}{32(\dfrac{1}{4}\times \dfrac{1}{4})}}[/tex]
[tex]\mathsf{= \dfrac{3}{32(\dfrac{1\times1}{4\times4})}}[/tex]
[tex]\mathsf{= \dfrac{30}{32(\dfrac{1}{16})}}[/tex]
[tex]\mathsf{= \dfrac{30}{\dfrac{32}{1}\times\dfrac{1}{16}}}[/tex]
[tex]\mathsf{= \dfrac{30}{\dfrac{32\times1}{1\times16}}}}}[/tex]
[tex]\mathsf{= \dfrac{30}{\dfrac{32}{16}}}[/tex]
[tex]\mathsf{= \dfrac{30}{2}}[/tex]
[tex]\mathsf{= 15}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{15}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
A diagram that represent 4/5 divided by 2/3
The value of the diagram represented by 4/5 divided by 2/3 is 6/5
What is fraction ?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
A numerical number that designates a portion of a whole is used to represent fractions. A fraction is a component or segment taken from a whole, which can be any number, a certain amount, or an object. Let's use an illustration to better comprehend this idea. The pizza in the accompanying image has been sliced into 8 equally sized pieces. Now, if we wish to refer to a single portion of the pizza, we can do so by using the notation 1/8, which indicates that we are talking about one portion out of 8 equally sized portions.
The fractions are 4/5 and 2/3
Now 4/5 divided by 2/3 is given by
[tex]\frac{\frac{4}{5} }{\frac{2}{3} }[/tex] = [tex]\frac{4}{5}*\frac{3}{2} = \frac{6}{5}[/tex]
The value of the diagram represented by 4/5 divided by 2/3 is 6/5
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find the value of jk for this problem
The measure of JK from the given similar quadrilaterals is 30 units.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
Given that, JKLM and PQRS are similar figures.
MJ=21, JK=4y-2, KL=6x+3, LM=36, PQ=10, QR=11, and RS=12.
Since, given quadrilaterals are similar, we get
JK/PQ =LM/RS
4y-2/10 =36/12
4y-2/10=3
4y-2=30
4y=32
y=8
So, JK=4y-2
JK=30 units
Therefore, the measure of JK is 30 units.
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q/10 + 71 = 75
what is "q"
Answer:
q=40
Step-by-step explanation:
q/10+71=75
-71. -71
q/10=4
x10 x10
q=40
hopes this helps
Answer:
What the guy above me says!
Step-by-step explanation:
A dump truck normally carries 10 cubic yards of gravel. A cubic yard of gravel
weighs 1.35 tons. Road bans in the spring specify that the truck can only be
loaded to 85 percent of normal capacity.
How many tons of gravel can the truck carry when road bans are in effect?
The quantity of gravel in tons which the truck can carry when the road bans are in effect as required to be determined is; 11.475 tons.
What quantity in tons of gravel can the truck carry when road bans are in effect?It follows from the task content that the quantity of gravel which the truck in discuss can carry when road bans are in effect be determined.
First, since the truck normally carries 10 cubic yards of gravel and each cubic yard weighs 1.35 tons.
Therefore, the truck can carry; 10 × 1.35 = 13.5 tons of gravel.
On this note, since the truck can only be loaded 85 percent of normal capacity when road bans are in effect.
The quantity which the truck can carry when road blocks are in effect is therefore; ( 85 / 100 ) × 13.5 = 11.475 tons of gravel.
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Gualberto has a barrel that collects rainwater. As the rainwater evaporates,
the height of the rainwater changes from 24.83 in. to 18.08 in. over a period of
5 days. What is the average change in the height of the rainwater each day?
Show your work.
The average change in height of the rainwater each day is 1.35 inches.
What is average change?The rate at which one value in a function changes in proportion to another is known as the average rate of change. The slope of a graphed function is typically calculated using the average rate of change.
Given, Gualberto has a barrel that collects rainwater. As the rainwater evaporates, the height of the rainwater changes from 24.83 in. to 18.08 in.
Thus,
The change of height in 5 days = 24.83 - 18.08
The change of height in 5 days = 6.75
Hence,
The Average change of height in 5 days = 6.75 / 5
The Average change of height in 5 days = 1.35
Therefore, Every day, the rainwater's height changes by 1.35 inches on average.
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Line a is parallel to line b and goes through the point (1,2). Line b goes through the point (3,1) and is perpendicular to line c whose equation is y = -2x+3. Find the y-intercept of line a.
Line a is parallel to line b and goes through the point (1,2). Line b goes through the point (3,1) and is perpendicular to line c whose equation is y = -2x+3.The y-intercept of line a is -7
given that
Line a is parallel to line b and goes through the point (1,2)
Line b goes through the point (3,1) and is perpendicular to line c
equation of line c is y = -2x+3
To find y-intercept of line a.
we need to find the slope of the equation
slope(m) = [tex]\frac{y2 - y1}{x2 - x1}[/tex] =[tex]\frac{1 - (-3)}{2 - 1}[/tex] = [tex]\frac{4}{1}[/tex] = 4
now , we need to write equation in slope intercept form
y = mx + b
1 = (4)2 + b
1 = 8 + b
b = -7
The y-intercept of line a is -7
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Mike bought 15 baseball cards.Rookie players are featured on 3/4 of the cards. How many cards featured rookie players?
The number of cards that featured rookie players is given as follows:
11 cards.
How to obtain the number of cards with rookie players?The number of cards with rookie players is obtained applying the proportion, which is a fraction of the total amount in the context of a problem.
To find the desired amount, the proportion is multiplied by the total number of cards, hence obtaining the number of cards with rookie players.
The parameters for this problem are given as follows:
Proportion of rookie players: 3/4 of the cards.Total number of cards: 15 cards.Hence the number of cards featuring rookie players is calculated as follows:
3/4 x 15 = 45/4 = 11.25 cards.
Rounding to the nearest integer, 11 cards.
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A segment has endpoints at (−9,5)
-
9
,
5
and (34,5)
34
,
5
. How many units long is the segment?
The distance between the points (-9, 5) and (34, 5) will be 43 units.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The points are given below.
(-9, 5) and (34, 5)
Then the distance between the points is given as,
D² = (34 + 9)² + (5 - 5)²
D² = (43)²
D = 43 units
The distance between the points (-9, 5) and (34, 5) will be 43 units.
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Angela went to the farmers' market to buy some vegetables She wanted some yelow squash and zucchini which were both on sale for 1.146 per pound. Angela bought 2 pounds of yellow
pounds of zucchini. To the nearest cent, what was the total cost of the vegetables?
The total cost of the vegetables to the nearest cent is $3.44
Define Unitary Method.The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
Define ratio and proportion.Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.
Angela bought 2 pounds of yellow squash and 1 pound of zucchini. The yellow squash and the zucchini were both on sale for $1.146 per pound.
To find the total cost of the yellow squash, we can multiply 2 pounds by $1.146 per pound:
2 pounds * $1.146/pound = $2.292
To find the total cost of the zucchini, we can multiply 1 pound by $1.146 per pound:
1 pound * $1.146/pound = $1.146
To find the total cost of the vegetables, we can add the cost of the yellow squash and the zucchini:
$2.292 + $1.146 = $3.438
The total cost of the vegetables to the nearest cent is $3.44
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Match the y-coordinate with the given x-coordinate for the equation y = log₁0x.
1. 100
2. 1/10
3. 10
4. 1
5. 1/100
-2
1
0
-1
2
The y-coordinate matched with the given x-coordinate:
x = 100 → y = 3
x = 1/10 → y = 0
x = 10 → y = 2
x = 1 → y = 1
x = 1/100 → y = -1
What is Logarithmic?The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Logarithmic function,
y = log(10x).
(1).
x = 100
So,
y = log{(10)(100)}.
y = log(1000)
y = 3
(2).
x = 1/10
So,
y = log{(10)(1/10)}.
y = log(1)
y = 0
(3).
x = 10
So,
y = log{(10)(10)}.
y = log(100)
y = 2
(4).
x = 1
So,
y = log{(10)(1)}.
y = log(10)
y = 1
(5).
x = 1/100
So,
y = log{(10)(1/100)}.
y = log(1/10)
y = -1
Therefore, the y-coordinate matched with the given x-coordinate
x = 100 → y = 3
x = 1/10 → y = 0
x = 10 → y = 2
x = 1 → y = 1
x = 1/100 → y = -1
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Please help!!! Algebra 2
The area of the sum of all the center triangles in the sequence of figure can not be determined; since the series has an indefinite number of terms, the series does not have a sum. Option D
Area of a triangle.The area of a given triangle is the space that it occupies on a 2 dimensional plane. So that the major formula that can be used to determine the area of a triangle is;
Area of a triangle = 1/2 * base * height
The sum of area of given triangles implies the mathematical addition of the values of area for each of the triangles.
In the given question, it was given that the pattern continues indefinitely. Thus it is impossible to determine the area of the sum of all center triangles in the sequence of figure.
Therefore the appropriate answer is option D. Since the series has an indefinite number of terms, the series does not have a sum.
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1 x _ = 1.66
thank you for answering
this helps!!
Answer:
1.66
Step-by-step explanation:
1x1.66=1.66
The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 200,000 mosquitoes in the area initially, and predators (e.g. birds, bats) eat 20,000 mosquitoes/day. Determine the population of mosquitoes in the area at any given time.
So far, I have used the equation, P = P0 e^-kt The population of mosquitoes in a certain area inc where P0=200,000 and P(7)=400,000 (I figured time should be measured in days since you are given the number of mosquitoes eaten per day) to solve for k:
400,000 = 200,00 e^-k(7) >> K=-ln(2)/7=-.099
Using that, I figured I should put that into the differential equation (change in population = birthrate - deathrate)
dp/dt = kP - 20,00t ---> dp/dt = -099P - 20,000t
I thought I knew how to solve this and everything, but once I got an answer and plugged in different times, the model says the population decreases, which doesn't seem to make sense. So please check my reasoning up to this point and show the solution so I can check mine.
The equation you used is correct, but the differential equation does not include the growth rate. The growth rate is proportional to the current population, so the differential equation should look like this: dp/dt = kP - 20,000t
dp/dt = kP - 20,000t , Where k is the growth rate. To solve this equation, we can use the separation of variables: dp/P = kdt - 20,000tdt
Integrating both sides, we get:
ln|P| = kt - 20,000t^2/2 + C, Where C is the integration constant. To find C, we can use the initial population of 200,000:
ln|200,000| = -0.099t - 20,000t^2/2 + C
=>C = ln|200,000| + 0.099t + 20,000t^2/2 .Therefore, the population of mosquitoes at any given time t is:
P = 200,000e^(-0.099t - 20,000t^2/2 + ln|200,000| + 0.099t + 20,000t^2/2) = 200,000e^(ln|200,000|) = 200,000
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What is the solution of the equation below? d2−1=−50
The solution of the equation d² + 1 = 50 is d = 7.
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
d² + 1 = 50
d² = 50 - 1
d² = 49
d = ✓49
d = 7
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Complete question
What is the solution of the equation below? d² + 1 = 50
A clothing store is having an anniversary sale. Every piece of clothing in the store is
marked down 15%. What is the sale price of a belt that has a regular price of $23?
Answer:
$19.55
Step-by-step explanation:
$23-15%=$19.55
Bobby likes to build birdhouses. He can build 5 birdhouses in 4 hours. which equation models the time bobby spends building birdhouses, x, and the number of birdhouses he builds, y?
y = -4/5 x
y = -5/4 x
y = 5/4 x
y = 4/5 x
The equation y=5/4x i.e., option (C) models the time Bobby spends on building birdhouses.
GIVEN:
x is the time bobby spends building birdhouses
y is the number of birdhouses he builds
STEPS:
If Bobby builds 5 houses in 4 hours then,
In 1 hour he builds 5/4 houses
⇒In x hours no.of houses = (5/4)x
∴equation model for the time taken to build birdhouses is y=(5/4)x
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a) Work out the nth term rule for the sequence of cube numbers.
Therefore , the solution of the given problem of sequence comes out to be T = 5832.
A sequence is what?The phrase "sequence" refers to a grouping of numbers, or "terms." 2, 5, and 8 are examples of terms. By making advantage of a specific pattern some sequences follow, it is possible to make some sequences infinitely long. To continue the sequence, use the sample of 2,5,8, and then add 3. There are equations that show where to seek for words in a list of words. In mathematics, a sequence is a group of items that are all in some kind of order . The length of the series is the total number of ordered objects, which may be limit . arranging two or more things in a sensible order. Chronological.
Here,
Given :
to determine the nth term norm for the members of the cube in order.
1, 8, 27, 64, and... are
the cube numbers.
The 18th term
=> T(18) = 183
=> T(18) = n³
=>T(n) = n³ = 5832
Therefore , the solution of the given problem of sequence comes out to be T = 5832.
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The diagram below shows Zainab observing a kite. Given that the angle of inclination of the kite from Zainab's sight is 35⁰ and the distance between Zainab's eyes and the kite is 120 meters. Calculate the horizontal distance, d in meters. State the correct answer to three significant figures.
The distance that is covered is 98.3 m.
What is the distance in meters?We know that in this case now, we would need to obtain the distance that has been traveled as it has been shown. We can see from the diagram, that the angle of inclination of the kite from Zainab's sight is 35⁰ and the distance between Zainab's eyes and the kite is 120 meters.
Using the trigonometric ratios for the right angled triangles we have;
Cos θ = adjacent /hypotenuse
adjacent = d
hypotenuse = 120 m
cos 35 = d/120
d = 120 cos 35
d = 98.3 m
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A lighthouse, which is 18 feet high, stands on a cliff that is 150 feet above sea level. The distance from the top of the lighthouse to a sailboat on the ocean is 360 feet.
What is the angle of elevation (x) from the sailboat to the top of the lighthouse? Round the answer to the nearest degree.
Therefore, using the supplied numbers, we may convert this data into a bar graph.
A graph is what?
A graph is a non-linear data structure made up of nodes, or vertices, and edges. In a graph, the nodes, also known as vertices, are joined together by any two edges. This graph's edges (E) are 1, 2, 1, 3, 2, 4, 2, 5, and 4, 50, while its vertices (V) are 1, 2, 3, 5, and 1.
given
[tex]P(A) = 0.70\\P(C|A) = 0.30\[/tex]
So we are to find
[tex]P(C|A) = P(A|C) * P( C) / P(A)\\[/tex]
As here as we are to find conditional probability .
As a result, option a) is accurate since p (c vertical line a) equals fraction numerator p (a vertical line c)p (a)over denominator p (c)end fraction.
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y=6x+11
2x-3y=7
Need Step by Step Solution
The solution of the system of equations:
y = 6x + 11
2x- 3y = 7
is (-5/2, -4).
How to solve the system of equations?Here we want to solve the following system of equations:
y = 6x + 11
2x- 3y = 7
We can see that y is already isolated on the first equation, so we can substitute this on the second equation.
We will get:
2x - 3*(6x + 11) = 7
2x - 18x - 33 = 7
Now we can solve that equation for x:
2x - 18x - 33 = 7
-16x - 33 = 7
-16x = 7 + 33
-16x = 40
x = 40/-16 = -10/4 = -5/2
And the value of y is what we get if we evaluate one of the functions in x = -5/2.
I will use the first one.
y = 6x + 11
y = 6*(-5/2) + 11
y = -15 + 11
y = -4
So the solution of the system of equations is (-5/2, -4).
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If 3 less than 4 times a certain number is 9 more than the number, find the number.
Answer:
okay now I really think that doing or solving any question like this will start first by solving out Earth I mean x okay by solving it out and after solving it and I'm really sorry cuz I'm using a voice note that's why I'm having all this misinterpretation so when you sort out x you begin to sort out all the questions nowhere for them to settle number the certain number will be x know where the four times a number will be no where the 903 will be and I really think that is it
What is the measure of angle 2?
130⁰
142⁰
38⁰
90⁰
Answer:
142 degrees
Step-by-step explanation:
they are vertical angles!
A computer consultant charges her client for her services
based on an equation relating the total bill to the
number of hours worked (h). The best interpretation for
the expression 85h + 75 is
The best interpretation for the expression 85h + 75 is;
The charge for each hour worked is $85
The initial charge before commencement of work per hour is $75
How to Interpret Linear Equations?The general formula of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, the slope may also be called the rate of change of the output with the input while the y-intercept represents the initial value or the value of the output when the input is zero.
Now, we are given the equation for total bill as;
T = 85h + 75
where h is number of hours worked
Thus;
The charge for each hour worked is $85
The initial charge will be $75 before commencement of work per hour.
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Which of a following is the factorization of the polynomial 30ax-25ay+66bx-55by
The factorization of the polynomial 30ax - 25ay + 66bx - 55by is;
E: (6x - 5y)(5y + 11b)
What factorization of polynomials entails is simply bringing out the highest common factor that is common to each term of the polynomial.
Now, the polynomial we are given is;
30ax - 25ay + 66bx - 55by
Now, let us rearrange the polynomial to be grouped into like variable terms x and y. Thus;
(30ax + 66bx) - (25ay + 55by)
Factoring out the highest common factor of each bracket gives;
6x(5a + 11b) - 5y(5a + 11b)
= (6x - 5y)(5y + 11b)
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You need to multiply 44.8 by 0.22.
How many numbers will fall after the decimal point in your solution?
a.) 1
b.) 2
c.) 3
d.) 4
Answer:3
Step-by-step explanation:
44.8 times 0.22 is 9.856 so 3 numbers will fall after the decimal point. You can also determine the answer by simply adding the number of decimal places in the numbers multiplied.