Answer: a/2
I believe for this problem all they’re asking is how you would write the expression.
The population of mosquitoes, N thousands, in a
small mangrove swamp, after the first t days of
June is given by the formula:
N = 2t + 30 for 0 ≤ t ≤ 10.
a. Draw the graph of N against t for 0 ≤ t ≤ 10.
b. Use this graph to find
(i) the number of mosquitoes on 2 June
(ii) the date when the mosquito population is 46 000.
c. The mosquito population at the end of June is 18% greater than the population
on 10 June. Find the mosquito population on 30 June.
There were 34 mosquitoes on 2 June, the date when the mosquito population is 46000 is 22985 days into June and the mosquito population on 30 June was 59.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
For 0 ≤ t ≤ 10:
N = 2t + 30 for 0 ≤ t ≤ 10.
The table of values are:
t 0 1 2 3 4 5
N 30 32 34 36 38 40
The graph will be a line with a positive slope, increasing from N = 30 when t = 0 to N = 50 when t = 10.
The number of mosquitoes on 2 June can be found by using t = 2 in the formula.
N = 2(2) + 30 = 34.
So there were 34 mosquitoes on 2 June.
(ii) To find the date when the mosquito population is 46 000, we can use the formula and solve for t.
N = 2t + 30
46000= 2t + 30
Subtract 30 on both sides
2t = 45970
t=22985
So the date when the mosquito population is 46000 is 22985 days into June.
iii) To find the mosquito population at the end of June, we need to find the population on 10 June and then increase it by 18%.
The population on 10 June can be found by using t = 10 in the formula:
N = 2(10) + 30 = 50
The graph will be a line with a positive slope, increasing from N = 30 when t = 0 to N = 50 when t = 10.
N = 50 (1 + 0.18)
N=59
So the mosquito population on 30 June was 59.
Hence, there were 34 mosquitoes on 2 June, the date when the mosquito population is 46000 is 22985 days into June and the mosquito population on 30 June was 59.
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This is the second part to my other question
Answer:
[tex]y=\dfrac{1}{2}x + 1[/tex]
Step-by-step explanation:
In this question, we are asked for an equation for the graphed line, given the following information about it:
-its slope (rate of change) is 1/2
-its y-intercept (initial value) is 1
We can plug these values into the slope-intercept form equation:
[tex]y=mx+b[/tex]
where [tex]m[/tex] is the line's slope, and b is its y-intercept.
Hence,
[tex]y=\dfrac{1}{2}x + 1[/tex]
What is the range of the points on the graph?
A {-2, 3, 5, 6}
B {-2, 0, 3, 4}
C {-2, -1, 0, 1, 2, 3, 4, 5, 6}
D {3, 5, 6, -2}
The range of the given function would be -
Range → {-2, 3, 5, 6}
What is a function?
An function in mathematics defines a relationship between one variable (the independent variable {x}) and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.
Given is the graph of the function as shown in the image.
Range represents the set of values along the {y} - axis. So, we can write the range as -
Range → {-2, 3, 5, 6}
Therefore, the range of the given function would be -
Range → {-2, 3, 5, 6}.
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a truck carries 8000 pounds of cargo how many tons of cargo dose the truck carry
Answer:
4 tons
Step-by-step explanation:
A ton weights 2000 pounds.
The number of tons of cargo the truck carry is 36300 tons.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Weight= 8000 pounds
Now,
We can do:
20008000=4
The truck carries 4 US tons of cargo.
Similarly, if we want to use the imperial ton or the metric ton, we can do:
22408000≈3.57
2204.62268000≈3.63
Therefore, by unitary method the answer will be 36300 tons.
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A restaurant worker used 8 loaves of wheat bread and 3 loaves of rye bread to make sandwiches for an event.Write a ratio that compares the number of loaves of rye bread to the number of loaves of wheat bread
A ratio that compares the number of loaves of rye bread to the number of loaves of wheat bread is 3:8.
What is a ratio?A ratio is a relative size of a value compared to another.
Ratios are given as quotients from division operations between the numerators and the denominators.
Ratios can also be represented as fractional values using decimals, fractions, and percentages.
Most often, the ratio symbol (:) is used to depict the numerical relationships between values.
The number of loaves of wheat bread = 8
The number of loaves of rye bread = 3
The ratio to describe and compare the number of loaves of rye bread to the number of loaves of wheat bread is 3:8
The sum of ratios = 11 (3 + 8).
Thus, relatively, the restaurant worker used 3 loaves of rye bread and 8 loaves of wheat bread to make the sandwiches.
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Find the degree of the polynomial and indicate whether the
polynomial is a monomial, binomial, trinomial, or none of
these.
- 5² xy³
Classify the given polynomial.
O binomial
monomial
trinomial
none of these
Answer:
None of these since it is not a polynomial expression
8pie = 1/3 pie r squared x 6
Solution of the given equation is r = 2
What is equation?Equations are mathematical statements that shows equality, containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Given equation,
8π = 1/3πr²×6
⇒ 2r² = 8
⇒ r² = 8/2
⇒ r = √4
⇒ r = 2
Hence, r = 2 is solution for the given equation.
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What is the lateral surface area of the rectangular prism below? (Bases are the rectangles on the right and left)
Answer:
112 in
Step-by-step explanation:
Before starting, it is important to know that lateral surface area is the sum of the area of all sides of a figure, not including the bases. Now that that is established, attached is an image with how to find the lateral surface area:
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Have a GREAT day!!!
(c)
4. Consider the right triangle (with smallest whole number sides) represented by the equa-
8
tion sin(A)
17
(a) What is opp(A) ? Write your answer as an exact number.
(b) What is adj(A) ? Write your answer as an exact number.
=
(c) What is the hypotenuse? Write your answer as an exact number.
(d) Determine cos(A). Write your answer as an exact number. Do not write a decimal.
(e) Determine tan(A). Write your answer as an exact number. Do not write a decimal.
(a) opp(A) = 17
(b) adj(A) = 8
(c) The hypotenuse can be found using the Pythagorean theorem: c^2 = a^2 + b^2.
c^2 = 8^2 + 17^2 = 64 + 289 = 353
c = √353 = 19
(d) cos(A) can be found using the formula: cos(A) = adj(A) / hypotenuse = 8 / 19 = 4 / 9
(e) tan(A) can be found using the formula: tan(A) = opp(A) / adj(A) = 17 / 8 = 9 / 4
What is Trigonometry ?Trigonometry is a branch of mathematics that deals with the study of triangles and their properties. It is primarily concerned with the relationships between the angles and sides of a triangle, and how these relationships can be used to solve problems. The key concepts of trigonometry include angles, degrees, radians, sine, cosine, tangent, cotangent, secant, and cosecant.
In trigonometry, the sine, cosine, and tangent functions are defined for any angle and can be used to calculate various quantities in a triangle, such as the length of a side or the size of an angle. Trigonometry has numerous applications in fields such as astronomy, physics, engineering, and computer graphics.
One of the most important uses of trigonometry is in navigation and surveying, where it is used to calculate distances, angles, and other quantities in order to determine the position of objects and landmarks. Additionally, trigonometry is used to analyze wave patterns in areas such as sound and light waves, as well as in the design of systems that require precise calculations such as radio and radar systems.
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based on the srs of 100 students mentioned at the beginning, what is the evidence that less than 60% of all students completed their assigned homework last week?
The sample of 100 students is a simple random sample (SRS) of the population of all students, and it provides evidence about the proportion of students who completed their assigned homework last week.
The sample proportion of students who completed their assigned homework is calculated as the number of students in the sample who completed their homework divided by the total number of students in the sample.
If the sample proportion is less than 60%, then this is evidence that less than 60% of all students completed their assigned homework last week. However, it is important to keep in mind that the sample proportion is just an estimate of the population proportion, and it may not be exactly equal to the population proportion. The sample proportion can vary from sample to sample due to random sampling error.
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I need help on this one, i need a quick answer, please!
Answer:
2
Step-by-step explanation:
The solution set of the inequality is the graph B.
What are Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
The given inequality is 3x > 12.
We have to solve the inequality.
3x > 12
Dividing both sides of the inequality by 3, we get,
3x / 3 > 12 / 3
x > 4
Solution set contains all points greater than 4, but not 4.
This solution set is shown in the graph B with the open circle at point 4.
Hence graph B shows the solution set of the inequality.
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the actual value of k a is 1.78*10^{-5}. what could be some reasons for the error between our experimental and actual values?
The difference between the experimental Ka and the actual value of Ka could be due to several factors:
Inaccurate measurement of the concentration of acetic acid and sodium acetate.Improper mixing of the ingredients leading to non-homogeneous solution.Temperature variations during the experiment which can affect the reaction rate.Contamination of the solution with other substances that could interfere with the reaction.Improper use of the pH meter leading to inaccurate readings.Interference of other chemical reactions occurring simultaneously in the solution.It is important to control these sources of error in order to obtain more accurate results. Further investigation and repeat experiments may be necessary to confirm the experimental Ka value and minimize the error.
Complete question:
The actual value of Ka is 1.78∗10^−5. What could be some reasons for the error between our experimental Ka = 2.19*10^-5 and actual values? CH3COOH⇋H++CH3COO− To start, we mix the following ingredients in a beaker: 20 ml of 0.02M Acetic Acid 20 ml of 0.02M Sodium Acetate Methyl Red Bromocresol Green The ph was 4.66
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HELP PLEASEEE
The right rectangular prism in Figure 6 has been sliced with a plane
perpendicular to BCEH. The resulting slice is a rectangular region
with a height equal to the height of the prism.
a.Label the vertices of the rectangle defined by the slice as WXYZ
b. To which other face is the slice perpendicular?
c. What is the height of rectangle WXYZ
d. Joey looks at WXYZ and thinks that the slice may be a parallelogram that is not a rectangle. Based on what is known about how the slice is made, can he be right? Justify your reasoning.
(picture is below)
The slice was made perpendicular to the face BCEH.
What is a right rectangular prism?The right rectangular prism has four rectangle-shaped lateral faces and two parallel end faces that are perpendicular to each of the bases. Parallelograms make up the faces of an oblique prism, a non-right rectangular prism. Another name for a right rectangular prism is a cuboid.
Given, The right rectangular prism in Figure has been sliced with a plane perpendicular to BCEH.
a. Labeled vertices of the rectangle defined by the slice as WXYZ is shown in the attached picture.b. The slice is perpendicular to the face ADFGc. the height of rectangle WXYZ is:ZY = 6 inch
d. The slice was made perpendicular to the face BCEH. Then we know that the angles in the slice, angles ∠X and ∠Y, formed by the slicing plane and face BCEH, are right angles.If we focus on ∠X of the slice, since it is a right angle, we know that WX must be perpendicular face to BCEH. Wx lies in face of ABCD, which is perpendicular to both BCEH and ABCD, so WX is perpendicular to ABCD.
This means that WX must also be perpendicular to WZ. A similar argument can be made for ∠Yof the slice, making all four angles of WXYZ right angles and making WXYZ a rectangle.
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Use the general slicing method to find the volume of the following solid The solid with a semicircular base of radius 15 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is _____ cubic units
The volume of the solid with the semicircular base is equal to 2250π units³
What do you mean by integral value ?In general term integral value means the value obtained after integrating or adding the terms of a function which is divided into an infinite number of terms .
Given here: A solid with a semi circular base with radius = 15 units
We know the the equation of the circle with its center at the origin is given by
x²+y²=15²
[tex]y=\sqrt{15^2-x^2}[/tex]
Thus constructing the integral we get
[tex]\int\limits^{15}_{-15} \ \pi .\frac{1}{2}.( {15^2-x^2}} )\, dx[/tex]
=-πx.(x²-675) /6 +C |¹⁵₋ ₁₅
=2250π
Hence, The volume of the solid with the semicircular base is equal to 2250π units³
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Need this for an assessment
Answer: D. 121.5
Step-by-step explanation: Use the formula [tex]\frac{4}{3}[/tex]×[tex]r^{3}[/tex], (where r is the radius, as in this case the diameter is 9 so divide that by 2 and you get the radius) and the "unit" is π. Search math w ay on the internet for any further math questions. :)
is anyone good at math here that can help me please? because i really need it please i will give brainy if someone knows and can help me
Question 8
Match the correlation coefficient with the correct association:
The correlation coefficient with the correct association is listed as:
-0.86 = 1
-0.66 = 1
-0.01 = 2
0.52 = 3
0.93 = 1
How to match the correlation coefficient with the correct association?
Correlation is a statistical measure that describes the extent to which two variables are linearly related to each other.
A negative correlation is when two variables move opposite each other i.e. when one variable increases, the other decreases
For absolute values of the correlation coefficient:
0-0.19 => very weak
0.2-0.39 => weak
0.40-0.59 => moderate
0.6-0.79 => strong
0.8-1 => very strong
Thus, the matching is listed below:
-0.86 = strong
-0.66 = strong
-0.01 = weak
0.52 = moderate
0.93 = strong
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Question 4(Multiple Choice Worth 2 points)
(Linear Relationships MC)
Which linear equation shows a proportional relationship?
Oy=-2x-
Oy=²x-1
Oy = 4x+6
Oy=2x
The linear equation shows a proportional relationship is y = 2x.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given the equation to find the linear equation shows a proportional relationship,
A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Particularly, when the y-intercept is equal to zero:
y = a*x
We get a proportional relationship.
so the option for the proportional relationship is
y = 2x
Hence option D is correct.
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you are dealt five cards from a standard deck of 52. find the probability of being dealt a full house
A “full house” (3 cards of one kind and 2 cards of another kind)
Since there are 13 sets of each type, we have to select any 2 kinds of it.
The probability becomes : 2× ¹³C2 × ⁴C3 × ⁴C2 : ^52C5
On simplification,
= 3744 / 2598960
= 0.00144
So the probability of a “full house” is 0.00144.
DEFINITION OF PROBABILITYProbability is a measure of the probability that an event will occur in future. Probability is expressed between 0 to 1 or in percentage".
There are three important things in discussing probability, namely trials (experiment), result (outcome). and events.
Experiment is an activity that gave birth to an event.For example, the activity of tossing coins will result in the appearance of images or numbers, the activity of buying and selling shares will result in buying or selling events.
Outcome is a result of the experiment. From an experiment will give results.So the outcome is all the possible events that will occur as a result of an experiment or activity.
An event is a collection of one or more outcomes that occur in an experiment or activity.Events show the results that occur from an event. In every experiment or activity there is only one possible outcome. In the activity of buying and selling shares, if you don't buy, it means selling. When prices change, inflation or deflation occurs.
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Anton wants to make 0.5 lb of sugar syrup. How much water and how much sugar does he need to make each concentration of sugar syrup?50
Answer: The number of pounds of sugar in 50% of syrup is 2.5 pounds.
Step-by-step explanation:
What is the percentage?
The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Anton wants to make 5 pounds of sugar syrup.
Let x be the number of pounds of sugar.
A) x/5 =50%
x=0.5×5
x=2.5 pounds
B) x/5 =5%
x/5 =0.05
x=0.25 pounds
C) x/5 =75%
x=0.75×5
x=3.75 pounds
D) x/5 =1.5%
x/5 =0.015
x=0.075 ponds
Please please help grade 8th math
Answer:
C
Step-by-step explanation:
It's the only graph that doesn't constantly have its y value increasing the same value each time.
(2 to 6 is +4, 6 to 10 is +4, but 10 to 16 is not +4)
Answer:
C
Step-by-step explanation:
Because you see from Point (-4, 2) to (0,6), the y increases by 4, and the x increase by 4. Same thing from (0,6) to (4,10). But from (4,10) to (8,16) the y increase by 6 so it is the wrong slope.
Determine whether (2, 6) and (−7, 9) are solutions to the system.
x−y<3
9x+y>8
A. Only (2, 6) is a solution to the system.
B. Neither (2, 6) nor (−7, 9) is a solution to the system.
C. Both (2, 6) and (−7, 9) are solutions to the system.
D. Only (−7, 9) is a solution to the system.
Please help get you the crow if the answer is right
Answer:
Step-by-step explanation:The given equations are :
y=-x+2 ....(1)
y = -4x +7 ....(2)
From equation (1) and (2)
-x+2 = -4x +7
Taking like terms together
-x+4x=7-2
3x = 5
x = 1.667
Put the value of x in equation (1)
y=-(1.667)+2
y = 0.333
The solution of the equations are (1.667,0.333). The attached figure shows the graph for the equations.
Step-by-step explanation: The given equations are : y=-x+2 ....(1) y - 1
Pleeeeeeeeeeeeaaaaaaaae help me
find the mean of 91, 78, 83, 79, 52, 91
NEED ASAP
Solve: 6y = 42
A y=252
B y=7
C y=36
D y=48
Answer:
it is b y=7 done okays hope you like it
Answer:
B, y = 7.
Step-by-step explanation:
If 6y = 42, then all we have to do is divide both sides by 6.
Therefore,
y = 42/6
y = 7.
What is the square root of (85+15)?
Answer:
10
Step-by-step explanation:
85+15 is 100
the square root of 100 is 10
Answer
Tha answer is 10 type xhii
Step-by-step explanation:
hope this helps and hope you pass
have a great day/night
a certain two-digit number is equal to 5 times the sum of its digits. if the digits are reversed, the resulting number is 9 times more than the original number. what is the number?
Let's call the two-digit number "x" and its two digits "a" and "b".
We know that:
x = 5 * (a + b)
We also know that the reverse of x is 9 times greater than x:
x + 9 * x = 100 * a + 10 * b
Expanding x using the first equation:
10 * x = 5 * (a + b) + 9 * 5 * (a + b) = 100 * a + 10 * b
Combining like terms:
10 * x = 100 * a + 10 * b
Solving for x:
x = 10 * a + b
Since x is a two-digit number, 10 * a + b must be between 10 and 99. The only solution that meets this requirement is a = 5 and b = 6. Therefore, the number is 56.
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I need help math due in one hour
1) The new coordinate of the triangle is gotten by the transformation rule; 180° counterclockwise
2) The coordinates of the point T' are; T'(2, 8)
How to Identify the transformation rule?1) The coordinates of the triangle XYZ are;
X(1, 2), Y(3, 5), Z(-3, 4)
The coordinates of the transformed triangle X'Y'Z' are;
X'(-1, -2), Y'(-3, -5), Z'(3, -4)
The transformation rule here is; (x, y) → (-x, -y)
This is a rotation of 180 degrees counterclockwise about the origin
2) The coordinates of the line are given as;
S(6, -1) and T(2, -8)
A rotation of 210° clockwise gives the transformation rule:
(x, y) → (x, -y)
Thus, we have the new coordinate of T as; T'(2, 8)
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A total of $10,000 was invested in a college fund for a new grandchild. If the interest rate is 5%,
compounded quarterly, how much will be in the account after 18 years?
The amount in the account after 18 years will be about $24,459.2.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Final amount in a compound interest can be calculated as,
A = P (1 + [tex]\frac{r}{n}[/tex] ) ^ (n t)
Here, A is the final amount, P is the principal amount, n is the number times interest is compounded in a year, r is the rate of interest and t is the time in years.
Here, P = $10,000
r = 5% = 0.05
n = 4, since the compounding is quarterly
t = 18 years
Substituting,
A = 10,000 (1 + [tex]\frac{0.05}{4}[/tex])^ (4 × 18)
= 10,000 (1.0125)⁷²
= 24,459.2
Hence there will be an amount of $24,459.2 in the account after 18 years.
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Pleeeaseee help, even if it’s a only
Lesson is solving rational equations and inequalities
The Speed at which Nick paddles is 13.60 miles per hour.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Nick's speed= S and the current is flowing at a rate of 5 miles per hour.
Now it is given that the it takes 30 minutes longer to row upstream than down stream.
Thus we can construct the equation
8/S-5 -8/S+5 = 30 minutes or 1/2 hour
Where 8 is the distance
Thus solving for S we get
8S+40-8S+40 / S²-25 =1/2
80×2=S²-25
160=S²-25
S²=185
S=13.60 miles per hour
Hence, The Speed at which Nick paddles is 13.60 miles per hour.
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Solve by using substitution and graph.
X = 3y + 2
5x - 15y = 10
This system of equations has been solved graphically and by using substitution: it has infinitely many solutions.
How to graph the solution to this system of equations?In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
x = 3y + 2 ......equation 1.
5x - 15y = 10 ......equation 2.
By substituting equation into equation 2, we have the following:
5(3y + 2) - 15y = 10
15y + 10 - 15y = 10
15y - 15y = 10 - 10 (infinitely many solutions)
Based on the graph (see attachment), we can logically deduce that the given system of equations has infinitely many solutions.
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