Answer:
A quadrilateral is a shape that has four straight sides and four angles.
A triangle is a shape that has three straight sides and three angles.
A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.
1234-4566/45.44+67*755.34
Answer:
To solve this expression, we need to follow the order of operations (PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
The expression is:
1234 - 4566 / 45.44 + 67 * 755.34
First, we need to perform the division operation since it comes before addition and multiplication.
4566 / 45.44 = 100.50
Now, we can substitute that into the expression:
1234 - 100.50 + 67 * 755.34
Next, we need to perform the multiplication operation:
67 * 755.34 = 50,548.78
Now, we can substitute that into the expression:
1234 - 100.50 + 50,548.78
Next, we can perform the addition and subtraction operations:
1234 + 50,448.28 = 51,682.28
Therefore, the result of the expression is 51,682.28.
You put $200 per month in an investment plan that pays an APR of 4.5%. How much money will you have after 23 years?
Compare this amount to the total deposits made over the time period.
After 23 years the investment plan will contain
The amount after 23 years on the investment plan is A = $358.20
Given data ,
$200 per month under a 4.5% annual percentage rate investing plan.
Now , A = P(1 + r/n)^(nt)
Where:
A is the total sum.
P stands for the initial deposit's principal.
The yearly interest rate is represented by the decimal r.
The yearly compounding rate of interest is determined by the number n.
The number of years is t.
A = 200(1 + 0.045/1)¹ˣ²³
A = 200(1.045)²³
A ≈ 200(1.791)
A ≈ $358.20
After 23 years, the investment plan will contain approximately $358.20
Total deposits = Monthly deposit amount x Number of months
Total deposits = $200 x (12 months/year) x 23 years
Total deposits = $200 x 12 x 23
Total deposits = $55,200
Consequently, $55,200 would be the total amount of deposits made during the 23-year period.
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Choose the most reasonable unit of measure.
3) Area of a baseball infield: 925
A) mm² B) km² C) m² D) cm²
4) Area of a lake: 4
A) mm² B) km² C) m² D) cm²
5) Area of a door: 20
A) yd² B) in.² C) ft² D) mi²
The most reasonable unit of measurement for 3) is option (C): [tex]m^2[/tex], 4) is option (B): [tex]km^2[/tex], 5) is [tex]in^2[/tex].
3) The most reasonable unit for the measurement of the baseball field is [tex]m^2[/tex] because the baseball field covers a large distance which is not accurately measured by small units [tex]cm^2[/tex] or [tex]mm^2[/tex] where it is not that big to be measured in large units like [tex]km^2[/tex]. So option C is the correct option.
4) The most reasonable unit for the measurement of a lake is [tex]km^2[/tex] because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like [tex]cm^2[/tex] , [tex]mm^2[/tex] , and [tex]m^2[/tex]. So option B is the correct option.
5) The most reasonable unit for the measurement of the area of a door is [tex]in^2[/tex] because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.
Therefore the correct answers question-wise are:
3) [tex]m^2[/tex]
4) [tex]km^2[/tex]
5) [tex]in^2[/tex]
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Solve the problem. At a high school debate tournament, half of the teams were asked to wear suits and ties and the rest were asked to wear jeans and t-shirts. The results are given in the table below. At the 0.05 significance level, test the hypothesis that the proportion of wins is the same for teams wearing suits as for teams wearing jeans. Suit- win= 22 loss=28 t-shirt win= 28 loss=22 . Answer Choices : A.df=4, B.df=1,C.df=2,df=3.
At the 0.05 significance level, the degree of freedom is 1. So, correct option is B.
To test the hypothesis that the proportion of wins is the same for teams wearing suits as for teams wearing jeans, we can use the chi-square test for independence. The null hypothesis is that the proportion of wins is the same for both groups, and the alternative hypothesis is that they are different.
Using the given data, we can calculate the expected frequencies under the assumption of equal proportions of wins for both groups. The expected frequency for each cell is given by (row total x column total) / grand total.
The calculated chi-square statistic is 2.667, and the degrees of freedom are (r-1)(c-1) = (2-1)(2-1) = 1.
Using a chi-square distribution table with 1 degree of freedom and a significance level of 0.05, the critical value is 3.84. Since the calculated chi-square value is less than the critical value, we fail to reject the null hypothesis.
Therefore, we can conclude that there is not enough evidence to suggest that the proportion of wins is different for teams wearing suits versus jeans and t-shirts at the 0.05 significance level.
The answer choice that corresponds to 1 degree of freedom is B
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Martin, wyatt , and adeyla were having a contest to see who could throw a softball the farthest. Martin threw the ball 9 feet. Wyatt threw the ball three times as far as Martin. Adeyla threw the softball 3 feet farther than Wyatt. How far did Adeyla throw the softball?
Answer: 30 Feet
Step-by-step explanation: Martin threw the ball 9 feet so we have Martins distance, next we know that Wyatt throws the ball 3 times as far which is 9x3 which is 27, Adeyla threw it 3 feet farther then Wyatt who threw it 27. 27+3=30
So the answer is 30 feet
Find all solutions of the equation in the interval [0, 27). (Enter your answers as a comma-separated list.)
6 tan²(x) + 6 tan(x) = 0
X =
The solutions are x = 0 and x = 3π/4, written as 0, 2.35619 (in radians).
We can factor out 6 tan(x) from the left-hand side of the equation:
6 tan(x) (tan(x) + 1) = 0
This equation is satisfied if either 6 tan(x) = 0 or tan(x) + 1 = 0.
If 6 tan(x) = 0, then tan(x) = 0. This occurs when x = 0, π, 2π, etc. However, we need to restrict our attention to the interval [0, 27), so the only solution in this case is x = 0.
If tan(x) + 1 = 0, then tan(x) = -1. This occurs when x = 3π/4 + nπ, where n is an integer. However, we need to restrict our attention to the interval [0, 27), so the only solution in this case is x = 3π/4.
Therefore, the solutions of the equation 6 tan²(x) + 6 tan(x) = 0 in the interval [0, 27) are x = 0 and x = 3π/4, which can be written as the comma-separated list: 0, 2.35619.
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freddy drew a plan for a rectangular piece of material that he will use for a blanket. the three of the vertices are (-2, -3), (-2.3,1.6), (4.6,1.6). what are the coordinates of the fourth vortex?
The coordinates of the fourth vortex of the rectangular piece of material drawn by Freddy would be (4. 6, - 3 ).
How to find the fourth vortex ?Rectangles are quadrilaterals which have two sets of parallel lines. This means that two sets of sides are equal which are the opposite ones. This means that when plotted on a coordinate plane, of the four points, the x - values should repeat twice and the y - values should repeat twice as well.
They would do so by alternating with each other. This means that in a rectangle with (-2, -3), (- 2 . 3, 1 . 6), ( 4 . 6 , 1. 6 ), the fourth vertex would be the two x and y values that are yet to repeat which would be:
( 4. 6, - 3 ).
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Please help 100 points
Answer:
SA = 48 cm²
Step-by-step explanation:
the surface area (SA) is the sum of the areas of the 5 faces.
1 square and 4 congruent triangles form the pyramid
area of square = 4 × 4 = 16 cm²
area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 4 and h = 4
area = [tex]\frac{1}{2}[/tex] × 4 × 4 = 2 × 4 = 8 cm²
area of 4 triangles = 4 × 8 = 32 cm²
SA = 16 + 32 = 48 cm²
Write the quadratic equation in standard form:
-12x + x² + 14 = -5x
I Got u Bro Answer: x2-7x+14=0
Answer:
Step-by-step explanation:
X^2-7x+14=0
QRINC offered new employees a starting salary of $51,468 in 2013. What would a comparable starting salary have been in 2003?
What is the sum of the geometric series
10
∑6(2)^n ?
N-1
A.15,658
B.6,138
C12,276
D756
The sum of the geometric series is -12,276.
So, the correct answer is C. -12,276.
To find the sum of the geometric series, we can use the formula:
[tex]S = a \times (1 - r^n) / (1 - r),[/tex]
where S is the sum of the series,
a is the first term,
r is the common ratio, and
n is the number of terms.
In this case, the first term (a) is 6(2) = 12, the common ratio (r) is 2, and the number of terms (n) is 10.
Plugging these values into the formula, we get:
[tex]S = 12 \times (1 - 2^{10} ) / (1 - 2).[/tex]
Calculating further:
[tex]S = 12 \times (1 - 1024) / (-1) = 12 \times 1023 = 12276.[/tex]
Therefore, the sum of the geometric series is -12,276.
So, the correct answer is C. -12,276.
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Square root of 1444. Yumikkpyn vo lyuyb
Answer:
38
Step-by-step explanation:
the square root of 1444 is 38.
Consider the equation that gives the volume of a square pyramid, where
• V represents the volume in cubic feet,
• b represents the length of each side of the pyramid's base in feet, and
• h represents the height of the pyramid in feet.
V= 1²
3
Enter an equation for which the solution is the height of a pyramid, in feet, when its volume is 48 cubic feet and the
length of each side of its base is 4 feet.
An equation for which the solution is the height of a pyramid, in feet, when its volume is 48 cubic feet and the length of each side of its base is 4 feet is h = 3(48)/4².
How to calculate the volume of a square pyramid?In Mathematics and Geometry, the volume of a square pyramid can be calculated by using the following formula:
Volume of a square pyramid, V = 1/3 × a² × h
Where:
h represent the height of a square pyramid.a represent the side length of the base of a square pyramid.By making "h" the subject of formula, the side length of the base of a square pyramid can be determined as follows;
V = 1/3 × a² × h
3V = a²h
Height, h = 3V/a²
Height, h = 3(48)/4²
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Find the polar coordinates of a point with Cartesian coordinates (x,y)=(2√3,2).Select the correct answer below:
(4,π/6)
(2,2π/3)
(4,2π/3)
(2,7π/6)
(4,7π/6)
(2,π/6)
Answer:
(4,π/6)
Step-by-step explanation:
The correct polar coordinates of the point (2√3, 2) are (r, θ) = (4, π/6).
Explanation:
Using the formulas for converting Cartesian coordinates to polar coordinates:
r = √(x^2 + y^2)
θ = atan2(y, x)
Plugging in the given values:
r = √((2√3)^2 + 2^2)
= √(12 + 4)
= √16
= 4
θ = atan2(2, 2√3)
≈ 0.5236 radians
However, in the polar coordinate system, angles are typically expressed in radians between 0 and 2π. The angle π/6 is equivalent to 0.5236 radians, so the correct polar coordinates of the point (2√3, 2) are (r, θ) = (4, π/6).
A contractor needed a small workshop. He found a preengineered steel building advertised for $12,099. If the building is a 36-ft by 36-ft square, what is the cost of the
building per square foot?
The cost of the building per square foot is $(Round to the nearest cent as needed.)
Answer:
$9.34 per square foot
Step-by-step explanation:
You want the cost per square foot of a 36 foot square building that costs $12,099.
Cost per square footThe cost per square foot is found by dividing the cost by the number of square feet. That area is found as the square of the side length:
A = s²
A = (36 ft)² = 1296 ft²
Then the cost is ...
cost per square foot = ($12099)/(1296 ft²) ≈ $9.34/ft²
The cost of the building is about $9.34 per square foot.
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Use one of the triangles to approximate
�
�
EFE, F in the triangle below.
Triangle D E F has a height of six units, which is side DF. Both the base, side EF, and the hypotenuse, side DE, are unknown. Angle D F E is a right angle and angle F D E measures twenty degrees.
Basd on the information about the triangle, DF is approximately 5.68 units long.
How to calculate the valueFirst, let's find the length of EF using the sine function:
sin 20° = EF / DE
cos 20° = 6 / DE
DE = 6 / cos 20°
Now that we know DE, we can solve for EF:
sin 20° = EF / DE
EF = DE * sin 20°
EF = (6 / cos 20°) * sin 20°
EF ≈ 1.95
DF^2 = DE^2 - EF^2
DF^2 = (6 / cos 20°)^2 - (1.95)^2
DF ≈ 5.68
DF is approximately 5.68 units long.
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Find the area of the figure. Round to the nearest Hundredth if necessary.
18 ft
33 ft
25 ft
Answer:522
Step-by-step explanation:
cut the shape on top to make a triangle and rectangle so then it would be 25x18=450 then for the triangle it would be 18x8=72 450+72=522
A train running between two stations 50 Km apart arrives on time if it travels at an
average speed of 60 km/h. How late will it be if travels at an average speed of 50 Km/h?
If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.
How late will the train be if it travels at an average speed of 50 Km/h?Speed is simply referred to as distance traveled per unit time.
It is expressed as:
Speed = distance / time
Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.
The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:
Speed = distance / time
time = distance / speed
time = 50 km / 60 km/h
time = 5/6 hour
Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:
Speed = distance / time
time = distance / speed
time = 50 km / 50 km/h
time = 1 hour
Now, the difference in time between the two scenarios would be:
time difference = 1 hour - 5/6 hour
time = 1/6 hour
Convert to minutes
time = 1/6 × 60
time = 10 minutes
Therefore, the train would be late by 10 minutes.
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Point A is at 0 radians with coordinates (1,0) on the unit circle. Point B is the result of point A rotating 7 pie/6 radians counterclockwise
around the unit circle. Name two other positive angles of rotation that take A to B.
Answer:
19π/6 radians and 31π/6 radians
Step-by-step explanation:
To rotate point A counterclockwise by 7π/6 radians, we can add this angle to the angle of point A, which is 0 radians, to get the angle of point B:
The angle of point B = angle of point A + 7π/6 radians
= 0 radians + 7π/6 radians
= 7π/6 radians
Angle of point B in degrees = (7π/6) * (180/π) degrees
= 210 degrees
To find two other positive angles of rotation that take A to B, we can add any multiple of 2π radians to the angle of point B. This is because adding 2π radians is equivalent to a full rotation around the unit circle, which brings us back to the same point. Therefore, we have:
angle of rotation 1 = angle of point B + 2π radians
= 7π/6 radians + 2π radians
= 19π/6 radians
angle of rotation 1 in degrees = (19π/6) * (180/π) degrees
= 285 degrees
angle of rotation 2 = angle of point B + 4π radians
= 7π/6 radians + 4π radians
= 31π/6 radians
angle of rotation 2 in degrees = (31π/6) * (180/π) degrees
= 465 degrees
So the two other positive angles of rotation that take A to B are (19π/6 radians and 31π/6 radians) or 285 degrees and 465 degrees respectively.
Note:
To convert the angles from radians to degrees, we can use the conversion factor:
1 radian = 180/π degrees
Huang buys 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which expression represents the amount of change Huang should receive? Select three options.
100 – (12(3x))
100 – (3x+12)
(100 – 12) – 3x
(100 – 12)(x+x+x)
100 – (x+x+x) – 12
Mark this and return
An expression that represents the amount of Huang's change include the following: A. 100 – (12(3x)).
How to write and determine an expression that represents the amount of Huang's change?In this scenario and exercise, you are required to write and determine an expression that represents the amount of change which Huang should receive from the seller.
This ultimately implies that, an expression that models or represents the amount of Huang's change would have the form;
Huang's change = Money presented - Total cost of 3 shirts
Huang's change = 100 - (12(3x))
By simplifying further, we have the following expressions;
Huang's change = 100 - 36x
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Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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Solve the formula for the specified variable. V =CLS for C
Answer:
To solve for C in the formula V = CLS, we need to isolate C on one side of the equation.
Starting with the given formula:
V = CLS
Divide both sides of the equation by LS:
V/LS = C
Therefore, the formula for C is:
C = V/LS
Graph the function f(x)=3x2–6x+2.
Plot the vertex. Then plot another point on the parabola
The graph of the function f(x) with vertex (1, 2) and another point (0, 2) is shown below.
Consider a function f(x) = 3x² - 6x + 2
We know that the graph of quadratic function is a parabola.
We graph the function f(x)
The graph of function f(x) is shown below.
From the graph of f(x), we can observe that the vertex of parabola is (1, 2)
For x = 0 the value of the function f(x) would be,
f(x) = 3x² - 6x + 2
f(0) = 3(0)² - 6(0) + 2
f(0) = 0 - 0 + 2
f(0) = 2
This means that the y-intercept of f(x) is (0, 2)
Therefore, the reuired graph of the function f(x) is shown below.
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Given ƒ(x) = −2x² + x − 8, find ƒ (9)
Answer: -161
Step-by-step explanation: you solve by plugging 9 in for x so you get f(9) = -2(9)^2 +9-8 you solve using PEMDAS and you get -161
I need help on 11-12 please i need this done asap! Can someone help me out
Jenny has recently begun keeping her spending under better control, but she
still can't fully pay off her credit card. She maintains an average monthly
balance of about $1100, and her card charges a 24% annual interest rate,
which it bills at a rate of 2% per month.
How much is she spending on credit card interest per year?
Jenny is paying $334.82 per year on credit card interest.
How much is she spending on credit card interest?We need to find his annual interest payment which is:
= $1100 * 2% * 12 month
= $264
So, we have an annual interest payment of $264
We must account for interest that accumulates on the interest itself. To calculate this, we can use the formula: A = P (1 + r/n)^(nt) when P is $264, r is 24%, n is 12 and t is 1.
A = $264 * (1 + 0.24/12)^(12*1)
A = $264 * 1.26824179456
A = $334.815833764
A = $334.82.
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The Bayview Community Pool has a snack stand where Juan works part-time. He tracked his total sales during each shift last month. This box plot shows the results. Total sales per shift ($) 100 150 Submit 200 250 300 What fraction of Juan's shifts had total sales of $225 or more? 350
It looks like there are five data points in the box plot, representing Juan's total sales during each shift. The third data point is $200, which is the median value. Since there are an odd number of data points, we know that the median is exactly in the middle of the data set. This means that two of the data points are less than $200, and two of the data points are greater than $200.
The last data point is $300, which is the maximum value. So we know that only one of the data points is between $200 and $300. Therefore, the fraction of Juan's shifts that had total sales of $225 or more is 1/5, or 20%.
Answer:
Step-by-step explanation:
Pls help me with this problem pls right answer only pls, quick!
Answer:
This is a quadratic function.
Allison wants to know how many games teenagers at her school have on their phones. Which answer choice gives an example of a random sample Allsion could use to help answer her question?
A Ask all the 30 female teenagers and 30 male teenagers at the grocery store if they have phones.
B Ask the first 100 people at the library on Saturday morning how many games they have on their phones.
C Ask 10 people from each grade level at Allison's school how many games they have on their phones.
D Ask 5 teenagers from 20 different countries how many games they have on their phones.
The answer choice which gives the best-example of the "random-sample" is (c) Ask 10 people from each "grade-level" at Allison's school about how many games they have on their phones.
A "Random-Sample" is a subset of a larger population which is chosen in such a way that each member of the population has an equal chance of being selected.
The Option (c) : gives the best example of a random sample that Allison could use to help answer her question. By asking 10 people from each grade level at her school, Allison can obtain a sample that includes a variety of ages, genders, and backgrounds.
This can help to ensure that the sample is representative of the population she is interested in studying.
Option (a) : is not a random sample because it only includes teenagers who happen to be at the grocery store at the time Allison is conducting her survey. This may not represent entire population of teenagers at her school.
Option (b) : is not a random sample either because it only includes people who happen to be at the library on Saturday morning. This may not be representative of the entire population of teenagers at her school.
Option (d) : is not a random sample because it only includes teenagers from 20 different countries. This may not be representative of the population of teenagers at Allison's school or in her local area.
Therefore, the correct option is (c).
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Is y=2x+X+1 a linear function
No, y=2x+X+1 is not a linear function because it contains a term with an exponent of 1 and a term with an exponent of 0. Linear functions are functions of the form y = mx + b, where m and b are constants, and x is the independent variable. The graph of a linear function is a straight line.
In the given function, the term X is not multiplied by a constant, so it does not have a fixed rate of change. Therefore, the graph of this function is not a straight line. Instead, it is a quadratic function, which has a parabolic graph.
