Answer:
1. x = independent variable: Age
y = dependent variable: Accidents
2. Age scale and Accidents scale
The scale for age ranges from 15 - 30 with the value of 5 difference between each number.
While the accidents scale ranges from 0 -1 with no difference in between.
3. In my opinion, the scatter plot looks as though it decreases in accidents once the age rises. As seen from the data shown.
Step-by-step explanation:
1) x is considered as the independent variable, while y is considered the dependent value.
2) There are two sets of scales, one for the x and the other for y. These scales are the values that are interpreted in order to show data of the graph, due to their number and various size(s).
3) If you were to draw a line through the graph, you can somewhat create the image that the line would go down into the right corner! Meaning that it is decreasing over time.
solve for x please help ! (show work)
Answer:
x = -5
Step-by-step explanation:
-(5x-2) = 27
Distribute the minus sign
-5x +2 = 27
Subtract 2 from each side
-5x +2-2 = 27-2
-5x = 25
Divide by -5
-5x/-5 = 25/-5
x = -5
Answer:
X=-5
Step-by-step explanation:
-(5x-2)=27
-5x+2=27
-5x=27-2
-5x=25
x=25/-5
=-5
it's in the picture and the answer choose are 1. Alternate interior angles 2.Same side interior angles 3. corresponding angles 4. alternate exterior angles
The given picture could be seen as follows
The way to give the pair 3 and 5 a name is based on their location regarding the lines that form the angles. Note that the lines l2 and l3 are parallel and that angles 3 and 5 are in between this two lines. Hence, they receive the name of interior angles.
Note also that angles 3 and 5 are on different sides of the line that crosses lines l2 and l3. Hence they are alternate angles.
Combining this two results, the angles 3 and 5 are alternate interior angles
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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A special drill is used at a construction site to dig holes. A hole is dug to a depth of 2.75 feet when the drill hits rock. The progress slows to 5/6 feet per hour of digging. The depth of the hole must be at least 10 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the drill must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement.
Answer:
9.3 hrs to finish
Step-by-step explanation:
(10.5 - 2.75)ft / (5/6 ft/hr) = 9.3 hrs to go
Mathematical connection A lighthouse casts a revolving beam of light as far as the pier
The light's coverage area is given mathematically as i.e. Area=\(\pi d^{2}\)
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = \(\pi r^{2}\){ where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region=\(\pi d^{2}\) {where d is the radius of region}
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Given the point (-4,-6), what is the coordinate of the point reflected over the X-axis and Y-axis?
Answer:
(4, 6)
Step-by-step explanation:
if it's a reflection then I believe it would just look exactly the same only with positive numbers
sorry if it's wrong, but hope it helps :)
Answer:
(4, 6)
Step-by-step explanation:
In the question it says "reflected over the X-axis and the Y-axis?"
When reflected you get (4, 6)
The opposite of Negative is positive
Solve the following equation for w
3w-7= √8w-7
Step-by-step explanation:
to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)
to make sure the answer
substitute w = 14/9 and w = 4 to the equation.
if w = 14/9
\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)
we know that if we substitute w = 14/9, the answer is not the same.
if w = 4
\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)
if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4
#CMIIW20 Per Question, Algebra 2, Thanks :)
The answer to the expression is (x+3)/(x-1)
What is a quadratic expression?You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0
The given expressions are
(x² - 3x - 18) / (x²- 7x +6
(x²-6x +3x +19) / (x²-x -6x +6)
This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}
⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]
This means that [(x+3)(x-6)] / [(x-6)(x-1)]
Dividing by (x-6) to have
Therefore the value of the expression is (x+3)/(x-1)
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Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Answer:
125
Step-by-step explanation:
find the value of x in the triangle
Answer:
x= 6.93
Step-by-step explanation:
sorry for the photo quality but i dont hv a phone and used my laptop's cam instead.
Mrs. Bell's class is working together to earn enough money for a field trip. The total cost for the class to go to the observatory is $910. The students want to have the money for their field trip in 5 months - How much do they need to earn each month in order to accomplish their goal? Explain.
The students need to earn $182 per month in order to accomplish their goals.
What is division?Division is the process of dividing a number by a given number.
Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.
To collect $910 in 5 months, students must earn $910/5 per month.
910/5
= 182
Hence, the students need to earn $182 per month in order to accomplish their goals.
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Find the interquartile of the data set that consists of 8,18,4,2,3,7,11,13,5,1 answers 11,8,6,3
Answer:
I.Q.R = 11 - 3
I.Q.R = 9
the interquartile range = 9
ANSWER AND STEPS PLEASE. HELP
A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume
of the cylinder not taken up by the cone? Use 3.14 for π.
Answer Choices
75.36 in.3
150.72 in.3
226.08 in.3
301.44 in.3
Answer:
A. 75.36 in^3
Step-by-step explanation:
r =3 in
h=8 in
v=1/3 π r^2h
= 1/3×3.14×3×8
=75.36 in^2
hope it helps...
have a great day!!
Find the value of sec (31π/6) without using a calculator.
ANSWER
\(-\frac{2\sqrt{3}}{3}\)EXPLANATION
We want to find the value of:
\(\sec(\frac{31\pi}{6})\)First, we can rewrite the angle by reducing it by 4π i.e. two full rotations of 2π to make the angle between 0 and 2π. The angle then becomes:
\(\sec(\frac{7\pi}{6})\)This is the same as:
\(\frac{1}{\cos(\frac{7\pi}{6})}\)Now, we can apply the reference angle by finding the equivalent value of the angle in the first quadrant:
\(\frac{1}{\cos(\frac{7\pi}{6})}\Rightarrow\frac{1}{-\cos(\frac{\pi}{6})}\)The value is negative because the reference angle is in the third quadrant and cosine is negative in the third quadrant.
Now, solving this, we have:
\(\begin{gathered} \frac{1}{-\frac{\sqrt{3}}{2}}\Rightarrow-\frac{2}{\sqrt{3}} \\ \\ -\frac{2}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}} \\ \\ -\frac{2\sqrt{3}}{3} \end{gathered}\)That is the answer.
Wooden blocks in the shape of
cubes are painted with different
colors. How many square
centimeters will be painted?
4 cm
The total area of all six sides that will be painted on the wooden cube is 96 square centimeters.
First, we need to understand that each cube has six faces or sides, which are all squares of the same size. When we paint the cube, we will be painting all six sides of it. Therefore, we need to find the total area of all six sides that will be painted.
To calculate the area of each side, we need to know the length of the side. You mentioned that the wooden blocks are cubes, so each side will have the same length. Let's say the length of each side is 4 cm.
Now, we can calculate the area of one side of the cube by squaring the length of the side. In this case, the area of one side will be:
Area of one side = (length of side)²
= (4 cm)²
= 16 cm²
Since there are six sides to each cube, we can find the total area of all six sides by multiplying the area of one side by six:
Total painted area = 6 x Area of one side
= 6 x 16 cm²
= 96 cm²
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graph these equations? y = 3x - 5, y = 1/2x + 5
The solution of the given system of equations is (4, 7).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)
Substitute equation (I) in (II), we get
3x-5=1/2 x+5
3x-1/2 x=5+5
2.5x=10
x=4
Substitute x=4 in equation (I), we get
y=3(4)-5
y=7
So, solution is (4, 7)
Therefore, the solution of the given system of equations is (4, 7).
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Solve the system using a matrix.
3x + 2y = 13
3x + 2y + z = 13
2x + y + 3z = 9
([? ],[
],[_])
Give your answer as an ordered triple.
Enter the number that belongs in the green box.
The answer of the system using a matrix is X = 5, Y = -1, Z = 0
What is a matrix?A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or a characteristic of one. Standard operations like addition and multiplication can be performed on matrices.
The entries or elements of the matrix are its numbers, symbols, or phrases. In a matrix, the terms "rows" and "columns" refer to the horizontal and vertical rows of entries, respectively.
To solve the equation we write the equation in matrix as
A*X = B
where, A is multiple of variables in equation. X is the variables and B is the constant value of equation.
then we find |A| and adjA to get inverse of A.
after calculating inverse of A, multiply this with B and we get the values of X.
solving this question, we get the value of X = 5, Y = -1 and Z = 0.
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
geomtry plzzz help 15 points
Answer:
19
Step-by-step explanation:
they give you xz, and they want half, so just divide 38 by 2
which choice correctly expresses the number below in scientific notation?
0.000611
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Plz help ASAP again thank you
Multiply
Answer:
1/30
Step-by-step explanation:
-1 x -1 = 1
6 x 5 = 30
1/30
Answer:
1/30
Step-by-step explanation:
Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups warm water. Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water. Nia tasted Trey’s water and said, “I added more salt, so I expected that mine would be more salty, but they taste the same! Explain why both salt water mixtures taste the same.
Answer:
Each mixture has the same amount of salt for every 1 cup of water.
Step-by-step explanation:
It is provided that:
Nia mixed 1 teaspoon salt with 3 cups warm water. Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.
On dividing the amount of salt and the amount of water by 3, the ratio will be the same.
\(\text{Salt}: 1\div3=\frac{1}{3}\\\\\text{Water}:3\div3=1\\\)
Thus 1 : 3 is equivalent to the ratio \(\frac{1}{3}:1\), which means that Nia's solution has \(\frac{1}{3}\)teaspoon of salt for every cup of water.
The ratio of the number of teaspoons of salt to the number of cups of water is \(\frac{1}{2}:1\frac{1}{2}\) in Trey’s solution.
On dividing the amount of salt and the amount of water by \(1\frac{1}{2}\), the ratio will be the same.
\(\text{salt}:\frac{1}{2}\div 1\frac{1}{2}=\frac{1}{3}\\\\\text{Water}:1\frac{1}{2}\div1\frac{1}{2}=1\)
So Trey’s ratio is also equal to the ratio \(\frac{1}{3}:1\).
Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.
Help plz:)))I’ll mark u Brainliest
Help please and show ya work
Answer:
D: 14.5
Step-by-step explanation:
4.1 = d - 10.4 add 10.4 to each side
14.5 = d
Answer:
14.5
Step-by-step explanation:
10.4 - 4.1 = 14.5
The population, in millions of people, of the United States can be represented by the recursive
formula below, where a represents the population in 1910 and n represents the number of years
since 1910.
ao
an 1.015a, - 1
Identify the percentage of the annual rate of growth from the equation a,, = 1.015a, - 1
= 92.2
=
Write an exponential function, P, where P(t) represents the United States population in millions
of people, and t is the number of years since 1910.
According to this model, determine algebraically the number of years it takes for the population of
the United States to be approximately 300 million people. Round your answer to the nearest year.
53 years for the Population of the United States to reach 300 million people according to this model.
The recursive formula of the population of the United States is given by ao = an1.015a - 1
Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)
where a0 is the population of the United States in 1910 (92.2 million people) .
Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)
To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300
Dividing both sides by 92.2, we get1.015t = 3.2596
Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2
Therefore, approximately 53 years for the population of the United States to reach 300 million people according to this model.
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Hey I need help can u just salve the following questions because I don't get it.
Answer:
I dont know but I can direct.
Step-by-step explanation:
The median is a middle number in a sorted, ascending or descending, list of numbers.
The quartile measures the spread of values above and below the mean by dividing the distribution into four groups.
The interquartile range describes the middle 50% of values when ordered from lowest to highest.
Answer: median: 133.5
first quartile: 128
third quartille: 139
interquartille range: 11
Step-by-step explanation:
expand and simplify (4+√2)(6-√2)
Answer:
\(22+2\sqrt{2}\)
Step-by-step explanation:
\((4+\sqrt{2} )(6-\sqrt{2} )\)
\(4(6)-4\sqrt{2} +6\sqrt{2} -2\)
\(24+2\sqrt{2} -2\)
\(22+2\sqrt{2}\)