Answer:
120,000
Step-by-step explanation:
To estimate the product of 283 × 416, first round each number so that each number contains only 1 non zero digit.
In this case, we will round 283 to the nearest hundred and we will also round 416 to the nearest hundred. To round 283 to the nearest hundred, the number next to two is higher than 5 so we round up. 283 rounds to 300.
416 rounded to the nearest hundred is 400 because the digit to the right of 4 is less than 5 which means we round down. 416 rounds down to 400.
Now we have 300 × 400 which equals 120,000
This means that 283 x 416 is approximately 120,000.
Prove the statement using a two-column proof or paragraph proof.
M
L
Given: JKLM is a parallelogram; KL≈ LM; JL MK
Prove: JKLM is a rhombus.
Complete your proof in the box below. You will be awarded 5 points for your
statements and 5 points for your reasons.
1) JKLM is a parallelogram, \(\overline{KL} \cong \overline{LM}\) (given)
2) JKLM is a rhombus (a parallelogram with a pair of consecutive congruent sides is a rhombus)
A square plot of land has a building 80 ft long and 50 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 18,500 ft2, what are the dimensions of the entire plot of land?
The dimensions of the entire plot of land is 150 feet by 150 feet.
A square plot of land has a building 80 ft long and 50 ft wide at one corner. The rest of the land outside the building forms a parking lot. If the parking lot has area 18,500 ft2.The area of the parking lot is given by,
Area of parking lot = 18500 ft²
Let the side of the square plot be 'a' feet.
Area of the square plot = side² = a² ft²
Given, the building is 80 ft long and 50 ft wide. The area of the building is 80 × 50 = 4000 ft².
The area of the remaining part of the square plot is,
Area of remaining part of square plot = area of square plot - area of building.
Area of remaining part of square plot = a² - 4000 ft²
We know that,
Area of remaining part of square plot = area of parking lot
Therefore,a² - 4000 = 18500
a² = 18500 + 4000
a² = 22500
a = √22500
a = 150 feet
Hence, the dimension of the entire plot of land are 150 feet by 150 feet.
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PLES HALP POINTS PIC DOWN BELOW
Answer:
The answer is D
Step-by-step explanation:
Answer:
D) Quadrant IV (quadrant 4)
Step-by-step explanation:
Point C is in quadrant IV because its point is (4,-4)
For points that have a positive x-coordinate and a negative y-coordinate, that means they are in quadrant IV.
Another way to figure this out is by looking at this graphically:
y
|
Quadrant | Quadrant
II | I
|
------------------------------|----------------------------- x
|
Quadrant | Quadrant
III | IV
|
I hope this helps!
evaluate (2a-4)2+10 for a=3
PLEASE
Answer:
14
Step-by-step explanation:
sorry if it not correct ._.
Ariana has $12.00 worth of nickels and dimes. she has a total of 149 coins (nickels and dimes). determine the number of nickels and the number of dimes that ariana has. ariana has dimes and nickels. (be sure to label the numbers as # of dimes and # of nickels.)#
The number of nickels and dimes that Ariana has are 58 and 91
Linear Equation:
The polynomial equation with 1 degree representing an unknown quantity is known as a Linear equation. Here to represent the unknown quantity we will use variables like x, y, z .... etc.
From the given problem,
The amount that Ariana = $12.00
As we know 1 dollar = 100 cents
⇒ $12.00 = 12 × 100 = 1200 cents
Total number of nickels and dimes = 149
Since we don't know the number of nickels and dimes we will represent them with variables x and y respectively.
The amount of x nickels coins
= x × 5 cents = 5x cents [ ∵ nickels = 5 cents ]
The amount of y dimes coins
= y × 10 cents = 10y cents [ ∵ dimes = 10 cents ]
From the above calculations the equation that can be formed
Total amount that Ariana is 5x + 10y = 1200 cents
=> x + 2y = 240 ----- Equation (1)
Total number of coins is x + y = 149 ----- Equation (2)
Now solve (1) and (2) to find the number of each coin
Do (1) - (2)
=> x + 2y - [ x + y ] = 240 - 149
=> x + 2y - x - y = 91
=> y = 91
Substitute y = 91 in Equation (2)
(2) => x + 91 = 149
=> x = 58
The number of nickels and dimes that Ariana has are 58 and 91
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Select all the true statements. Logarithms may be used to linearize data. Powers may be used to linearize data. Roots may be used to linearize data. If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model. If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.
The true statements are:
Logarithms may be used to linearize data.
Powers may be used to linearize data. Roots may be used to linearize data.
If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.
Another format for writing exponents is in logarithms.
The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.
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Answer:
A.Logarithms may be used to linearize data.
B.Powers may be used to linearize data.
C.Roots may be used to linearize data.
E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.
Step-by-step explanation:
Yes
Which answer choice uses exponents to show the expression below?
10(5 · 5 + 10) − 2 · 2 · 2
Answer:
5² · 10 + 10² - 2³
Step-by-step explanation:
10(5 · 5 + 10) − 2 · 2 · 2 =
= 5² · 10 + 10² - 2³
suppose that rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 222 different toppings. what is the probability that rosa's mom chooses sausage and onion?
The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to
(1/ ⁸C₂).
As given in the question,
Total number of different toppings = 8
Number of different toppings choose by Rosa's mom randomly = 2
Possibility of choosing sausage and onion (any one) = 1
Total number of outcomes = ⁸C₂
Number of favorable outcomes = 1
Probability of choosing sausage and onion ( exactly ) one topping
= ( Number of favorable outcomes ) / ( Total number of outcomes )
= ( 1/⁸C₂ )
Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).
The above question is incomplete, the complete question is:
A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings
below:
Pepperoni ,Sausage, Chicken , Green pepper , Mushroom ,Pineapple, Ham, Onion
Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.
What is the probability that Rosa's mom chooses sausage and onion?
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Answer:
1/8c^2
Step-by-step explanation:
Khan Acadmey
What Did The Necktie Say To The Hat?
A
8.4 Puzzle Time
Complete each exercise. Find the answer in the answer column. Write
under the answer in the box containing the exercise letter.
Find the volume of the rectangular prism.
The volume of the rectangular prism, given the length, width and height, would be 1/20 cubic inches.
How to find the volume ?To find the volume of a rectangular prism, you multiply the height, breadth, and length together. In this case, the dimensions are:
Height (h) = 4/5 inches
Breadth (b) = 1/4 inches
Length (l) = 1/4 inches
Volume (V) = h x b x l
V = (4/5) x (1/4) x (1/4)
Now, multiply the fractions:
V = (4 x 1 x 1) / (5 x 4 x 4)
V = 4 / (5 x 16)
V = 4 / 80
V = 1 / 20
So, the volume of the rectangular prism is 1/20 cubic inches.
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write the linear equation given the point and slope: (3, -5); slope = - 4
Answer:
y = -4x + 17
Step-by-step explanation:
We are given the slope, -4, and coordinates (3,-5,) We can write this in point slope form \((y-y1)=m(x-x1)\)because we don't have our y intercept.
\((y-5)=-4(x-3)\)
Solve for y, first distribute -4
\((y-5)=-4x+12\)
Add 5 to both sides
\(y=-4x+17\)
Thus, in slope intercept form we have y = -4x + 17
At 7:00 pm, the temperature was -7 °F. The next morning the temperature had raised
to 42 °F. How many degrees F. did the temperature change?
Answer:
49 degrees
Step-by-step explanation
Answer:
I think 49 °F
Step-by-step explanation:
42 - (-7) = 49 °F
So the temperature raised 49 degrees since 7pm last night.
I think thats right. :)
What is binomial of a number?
An integer known as a binomial number is created by evaluating a homogeneous polynomial with two terms, also known as a binomial.
What is polynomial?Polynomials are algebraic expressions that include constants and indeterminates. Polynomials are a type of mathematics. In almost every branch of mathematics, they are used to express numbers, and calculus is one of those branches where they play a particularly significant role.
Polynomials include formulas like 2x + 9 and x² + 3x + 11. You may have noticed that none of these examples include the "=" sign.
Each variable's exponent in an algebraic expression for a polynomial must be a whole number. Polynomial exponents have to be non-negative integers. A polynomial cannot be divided by a variable even though it contains both constants and variables.
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If real GDP in the United States is growing at an annual rate of 3.2% per capita and Bolivia's real GDP per capita is growing at a rate of 1.3%, which of the following would we expect in the long run? Assume real GDP per capita in the United States begins at a level above that of real GDP per capita in Bolivia. a.Real GDP per capita in the United States will always be 1.9% higher than real GDP per capital in Bolivia. b.The difference between the level of real GDP per capita in the United States and real GDP per capita in Bolivia will shrink over time. c.The difference between the level of real GDP per capita in the United States and real GDP per capita in Bolivia will increase over time. d.The difference between the level of real GDP per capita in the United States and real GDP per capita in Bolivia will always be $1.9 trillion.
The difference between the level of real GDP per capita in the United States and real GDP per capita in Bolivia will shrink over time. The correct option is (b)
Real GDP per capita is a measure of the standard of living in a country, and it depends on the growth rate of real GDP and the population growth rate.
In this scenario, the United States has a higher initial level of real GDP per capita, and it is growing at a faster rate than Bolivia.
Over time, the difference in real GDP per capita between the two countries will shrink because the growth rate of real GDP per capita in the United States is not high enough to offset the initial gap in real GDP per capita between the two countries.
Option (a) is incorrect because the difference in real GDP per capita between the two countries will not always be 1.9%. It will depend on the initial gap and the growth rates of the two countries.
Option (c) is incorrect because if real GDP per capita in the United States is growing at a faster rate than in Bolivia, then the gap between the two countries should shrink over time, not increase.
Option (d) is incorrect because the difference in real GDP per capita between the two countries is not a fixed amount, but rather a percentage difference that will change over time.
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what is the answer in like and unlike terms
The simplified expression, in like and unlike terms, is -3r + 4b + 6.
Define the term equation?An equation can be compared to a balance scale in that both sides must be equal for the equation to remain true.
To add and simplify the expression 2r + b + 6 + 3b - 5r, we first group the like terms, that is, the terms with the same variable, and then combine them. The terms 2r and -5r are like terms because they both have the variable r, so we can combine them by subtracting 5r from 2r, which gives us -3r. The terms b and 3b are also like terms because they both have the variable b, so we can combine them by adding them together, which gives us 4b. The constant term 6 does not have any like term, so it remains the same.
Therefore, simplify the expressions:
⇒ 2r + b + 6 + 3b - 5r
⇒ (2r - 5r) + (b + 3b) + 6
⇒ -3r + 4b + 6
So the simplified expression, in like and unlike terms, is -3r + 4b + 6.
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Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 8s−(5s+6)=12(20+6s)A 4B 16C IdentityD No Solution
Answer:
s = -3.39
Explanation:
First, we need to apply distributive property on the right side as:
\(\begin{gathered} 8s-(5s+6)=12(20+6s) \\ 8s-(5s+6)=(12\cdot20)+(12\cdot6s) \\ 8s-(5s+6)=240+72s \end{gathered}\)Then, adding like terms, we get:
\(\begin{gathered} 8s-5s+6=240e+72s \\ 3s+6=240+72s \end{gathered}\)Subtracting 3s from both sides:
\(\begin{gathered} 3s+6-3s=240+72s-3s \\ 6=240+69s \end{gathered}\)Subtracting 240 from both sides:
\(\begin{gathered} 6-240=69s \\ -234=69s \end{gathered}\)Finally, dividing by 69, we get:
\(\begin{gathered} -\frac{234}{69}=\frac{69s}{69} \\ -3.39=s \end{gathered}\)Therefore, the answer is s = -3.39
Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?
Answer:
68°
Step-by-step explanation:
If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°
Answer:
68°
Step-by-step explanation:
Since angles B and D are opposite each other, they are supplementary.
32. Write a rule to represents the
function
(2, 10), (4, 20), (5, 25), (7, 35), (9, 45)
y equals x times 5 is the answer because 2 times 5 is 10 and so on and so forth hope this helps :D
Jaime says that the value of -1 x n is always equal to the value of n ÷ (-1) for all values of n. Explain whether Jaime is correct or incorrect.
Full explanation + answer :)
Answer:
Jaime is correct, -1 x n is always equal to n ÷ (-1) for all values of n.
To see why this is true, we can use the properties of multiplication and division of real numbers. In particular, we can use the fact that multiplying by -1 is the same as changing the sign of a number and dividing by -1 is the same as multiplying by -1.So, starting with -1 x n, we can rewrite this expression as (-1) x n or -(1 x n), which means we are taking the opposite of the product of -1 and n. Since the opposite of a number is just that number with its sign changed, we can simplify this expression to -n.Next, let's consider n ÷ (-1). This means we are dividing n by -1, which is the same as multiplying n by the reciprocal of -1, which is -1/1 or simply -1. So, n ÷ (-1) is equal to n x (-1), which is just -n.Thus, we can see that -1 x n and n ÷ (-1) both simplify to -n. Therefore, Jaime is correct, the value of -1 x n is always equal to the value of n ÷ (-1) for all values of n.
Lisa added
4 7/15 and 5 2/5 to get a sum of 10 2/15.
Which of the following explains whether her answer is reasonable?
A.
No; 7/15and 2/5 are both less than 1, so the sum has to be less than 10.
B.
No; 7/15 and 2/5 are both less than 1/2, so the sum has to be less than 10.
C.
No; 7/15 and 2/5 are both greater than 1/2, so the sum has to be less than 10.
D.
Yes; 7/15 and 2/5 are both greater than 1/2, so the sum has to be greater than 10.
Answer:
B
Step-by-step explanation:
i did it
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 267 feet and a standard deviation of 39 feet. Let X be the distance in feet for a fly ball.c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places.
To find the 70th percentile we look for the z value that gives the following probability:
\(P(Z\leq z)=0.70\)Looking at the standard normal distribution table we notice that this probability happens when:
\(z=0.5244\)Then we need the z score to be 0.5244 .Now that we know this we use its definition to find the value of x that gives this z score:
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \frac{x-267}{39}=0.5244 \\ x-267=20.4516 \\ x=267+20.4516 \\ x=287.45 \end{gathered}\)Therefore, the 70th percentile is 287.45
In circle, the measures of arc BC is 47 degree find the measure of arc CAB
Answer:
313(?)
Step-by-step explanation:
qasxx c.f. tikhg
Can you please help me with this question.
Answer:
I have helped you on the other question you asked. It's the same question.
A dog, initially sitting next to its owner, runs first to a position 2.8 m[W] of its owner, and then secondly to a position 10.6 m[E] of its owner.
Draw vector diagram to show the movement of the dog [1]
Determine the dog's total distance and total displacement[2]
The dog's total displacement was 8.83 m, and the total distance covered was 13.4 m.
The displacement of an object is represented by an arrow because it has both magnitude and direction.
By using the Pythagorean theorem, the magnitude of the displacement can be calculated.
The total distance is the sum of all the distances covered by the object. The magnitude of the individual displacements is used to calculate the total distance. The total distance and displacement of the dog can be calculated as follows
When calculating the total distance and displacement of the dog, the following diagram can be used. As shown in the diagram, the dog initially runs 2.8 m to the west of its owner and then runs 10.6 m to the east of its owner.
The magnitude of the displacement can be determined using the Pythagorean theorem, which is as follows:
total displacement=√(2.8^2+10.6^2)=√78=8.83 m
The displacement of the dog is 8.83 m.
In this case, the displacement is the vector that represents the dog's movement from its initial position to its final position.
To determine the total distance, the distance covered by the dog in each direction must be calculated and added together. The distance traveled to the west was 2.8 m, while the distance traveled to the east was 10.6 m.
As a result, the total distance covered by the dog is as follows:
total distance=2.8+10.6=13.4 m
As a result, the dog's total displacement was 8.83 m, and the total distance covered was 13.4 m.
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Which equation could match the table?
(the table is shown in the picture)
A. y=3x+2
B. y=2x +3
C. y=x+3
D. y=2x- 3
Answer:
y=2x+3
Step-by-step explanation:
in third line x = 0 y=2×0+3 =3
The perimeter of the base of a regular quadrilateral pyramid is P=30cm. Find the sum of all edges of this pyramid if the perimeter of a lateral face is 27.5cm
The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.
The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.
A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.
The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.
Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.
Therefore, the sum of all the edges in the pyramid is calculated as follows:
Sum of edges = (4 × a) + (4 × 9.17)
Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:
Sum of edges = (4 × 7.5) + (4 × 9.17)
= 30 + 36.68
= 66.68 cm
Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.
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every angle of a equilateral triangle is_____.
A number cube is tossed 60 times. outcome frequency 1 12 2 13 3 11 4 6 5 10 6 8 determine the experimental probability of landing on a number greater than 4.
The experimental probability of landing on a number greater than 4 is 0.25 or 25%.
To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).
The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.
So, the experimental probability is 18/60 = 0.3 or 25%.
It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.
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the answer in fraction form is 18/60
if thats what you are looking for.
you will find information about the statistics used and the findings of statistical tests in which section of the research report?
The section of the research report that may have the information about the statistical parameter used and the findings of statistical tests is the "Results" and ''Reference" section.
The results section usually comes after the introduction and literature review sections of the research report.
A research report is a document that outlines the results of a study conducted by an individual or a group. The research report is a written record of the study and includes information about the research design, data collection, data analysis, and findings. A research report can be written in different formats, depending on the discipline and audience.
Statistics refers to the collection, analysis, interpretation, presentation, and organization of data. Statistics help researchers to draw conclusions from data and make informed decisions. Statistical tests are used to determine whether the results of a study are statistically significant, which means that the results are unlikely to have occurred by chance. Statistical tests are an essential part of the research process, and the findings of these tests are reported in the results section of a research report.
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Solve the equation 18+a= -5
Answer:
The answer is -23
Step
which subshell (for example, 1s) is designated by each set of quantum numbers below?
The subshell designated by each set of quantum numbers is as follows:
a) n=3, l=1 -> 3p subshell
b) n=4, l=2 -> 4d subshell
c) n=2, l=0 -> 2s subshell
d) n=5, l=3 -> 5f subshell
In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.
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