Answer:
D.
Step-by-step explanation:
Thousandhts
Answer:
d. 7 thousandths
WHY?
0.007 places is a decimal representation of a number. In the decimal system, the value of a digit is determined by its position relative to the decimal point. In this case, the number 0.007 has three digits to the right of the decimal point, so it is said to have three decimal places. The value of each digit in this number is determined by its position: the first digit (0) is in the hundredths place, the second digit (0) is in the thousandths place, and the third digit (7) is in the ten-thousandths place.
an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
Learn more about speed here:
brainly.com/question/13943409
#SPJ1
Aidan measure the perimeter of his classroom.He notices the classroom is 1m wider than it is long.Theperimeter of the classroom is between 20 and 35m.The length of each side is a whole number .
what could the dimensions of the room be?find four different possibilities
Answer:
Step-by-step explanation:
The area of Mrs Brown’s classroom is
63 m2
. The area of Mr Black’s
classroom is 64 m2
. Mr Black’s
classroom is bigger.
geomerty help please
Answer:
y = 10, x = 18
Step-by-step explanation:
Hope it helps!
I need to know if it’s A B C OR D
SOLUTION
Consider the property, opposite angle of a cyclic quadrilateral are supplementary
hence
\(\angle NMP+\angle NOP=180^0\)Recall that
\(\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}\)Hnece, we have that
\(\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}\)Then
\(\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}\)Hence
x=17
Since
\(\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}\)Therefore
The measure of angle NOP is 68⁰
Answer; 68⁰ (The fourth Option )
ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?
Airplane 1 had the fastest rate of descent during its landing.
To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.
Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:
-130 ft/s × 60 s/min = -7800 ft/min
Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:
(-97/8) ft/s × 60 s/min = -729.375 ft/min
Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:
-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)
Therefore, Airplane 1 had the fastest rate of descent during its landing.
for such more question on rate
https://brainly.com/question/16981791
#SPJ11
Pls help this is the only one plss
Answer:
1.247 then 1.244 and finally 1.234
Step-by-step explanation:
A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
does anyone understand this?
If someone can answer this, I will give you 90 points. How fast in terms of miles does the speed of light travel at?
Answer:
670,616,629mph
Step-by-step explanation:
I think this is the answer
Step-by-step explanation:
light light travels at a speed of 299 792 kilometres per second
0.621 mile=1km
? = 299792km
0.621×299792
186170.832 miles per second
Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%. z equals fraction numerator p with hat on top minus p over denominator square root of begin display style fraction numerator p q over denominator n end fraction end style end root end fraction The z statistic for this data is __________. -0.56 0.45 -0.45 0.56
Answer:
0.56
Step-by-step explanation:
RATIONALE
To make things a little easier, let's first note the denominator
We can now note that
Finally, subbing all in we find
Answer:
0.56
Step-by-step explanation:
How can you measure the way one variable changes in relation to another?
Solution:
The word correlation is used in everyday life to denote some form of association. We might say that we have noticed a correlation between foggy days and attacks of wheeziness. However, in statistical terms, we use correlation to denote the association between two quantitative variables. We also assume that the association is linear, that one variable increases or decreases a fixed amount for a unit increase or decrease in the other. The other technique that is often used in these circumstances is regression, which involves estimating the best straight line to summarise the association.
Correlation coefficient
The degree of association is measured by a correlation coefficient, denoted by r. It is sometimes called Pearson’s correlation coefficient after its originator and is a measure of linear association. If a curved line is needed to express the relationship, other and more complicated measures of the correlation must be used.
The correlation coefficient is measured on a scale that varies from + 1 through 0 to – 1. Complete correlation between two variables is expressed by either + 1 or -1. When one variable increases as the other increases the correlation is positive; when one decreases as the other increases it is negative. The complete absence of correlation is represented by 0.
More details: brainly.com/question/27226153
#SPJ9
3. Estimate the value of -√90 to the nearest integer. (1 point)
A. 3
B. -5
C. 7
D. -9
4. Wei-Min makes a square quilt that has an area of 100 square inches. It has 25 square blocks,
each the same size. What is the length of each side of a block?
A. 2 inches
B. 4 inches
C. 6 inches
D. 10 inches
(1 point)
After using 25 square block, a quilt has been prepared by Wei-Min that has an area of 100 square inches. The length of each side of a block is 2 inches by calculating using concept of mensuration.
As per the question statement, Wei-Min makes a square quilt that has an area of 100 square inches and has got 25 square blocks, each the same size. We are supposed to find the length of each side of a block.
Using concept of mensuration,
Area of square quilt = 100 square inches
Number of block used = 25 square blocks
Therefore, area of each block = 100/25 = 4 square inches
As the block is a square, so each side will be equal in length.
Let's assume each side of square be "x" inches
Therefore x^2 = 4
or x = √4
or x = 2 inches
Mensuration: In the field of mathematics known as measurement, length, volume, shape, surface area, and other properties are measured for 2D and 3D objects. In other terms, it is the method of measuring based on mathematical formulas and algebraic equations.To learn more about Mensuration, click on the link given below:
https://brainly.com/question/14312097
#SPJ1
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
Learn more about linear equations at: https://brainly.com/question/2030026
#SPJ1
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
To learn more about equations click on,
https://brainly.com/question/29266004
#SPJ1
Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
help asap plspls!! :)
what is the domain and range of f(x)=2x+3
Answer:
D:{x∈R}
R:{y∈R}
Step-by-step explanation:
This is just a linear function. I know this because the degree of the x-variable is 1.
Domain and range are sets of possible values the function can have - though not necessarily at the same time.
Thus, there are no restrictions to the domain and range unless context is given.
Therefore, the domain and range is:
D:{x∈R}
R:{y∈R}
Apply the limit laws to evaluate the ff. limits
Limit's characteristics include its laws. The limit of a function is determined using them. A constant's limit is that very same constant.
How do limitations get assessed?By assessing the function at values close to x=0, we can determine the value of a limit, if one exists. We are unable to immediately determine the value of a function for x=0 since the outcome would be undefined as its denominator would be 0.Limit's characteristics include its laws. The limit of a function is determined using them. A constant's limit is that very same constant.By assessing the function at values close to x=0, we can determine the value of a limit, if one exists. We are unable to immediately determine the value of a function for x=0 since the outcome would be undefined as its denominator would be 0.The complete question is,
Which limitations rules apply?
To learn more about Limit's refer to:
https://brainly.com/question/23935467
#SPJ1
Find x in the given figure.
Find any domain restrictions on the given rational equation:
+2=64
Select all that apply.
2x+4
=
3
2²+2x-35
A. x = 4
☐ B. x = -7
C. x = 5
D. x = 0
The Find any domain restrictions on the given rational equation is: C. x = 5 D. x = -7.
How to find the domain restrictions?The given rational equation is:
x/(2x + 14) + (x - 4)/6 = 3/(x^2 + 2x - 35)
To find any domain restrictions on this equation, we need to look for any values of x that would make the denominator of any fraction equal to zero, since division by zero is undefined. Let's check each denominator:
The denominator 2x + 14 can be factored as 2(x + 7). This expression will be zero when x = -7/2. So, we have a domain restriction at x = -7/2.
The denominator 6 is a constant, so it does not impose any domain restrictions.
The denominator x^2 + 2x - 35 can be factored as (x + 7)(x - 5). This expression will be zero when x = -7 or x = 5. So, we have domain restrictions at x = -7 and x = 5.
Therefore, the domain restrictions for the given rational equation are:
C. x = 5 D. x = -7
Learn more about domain restrictions here:https://brainly.com/question/28368825
#SPJ1
The correct question is:
Find any domain restrictions on the given rational equation:
x/2x +14 + x -4/6 = 3/x^2 +2x -35
Select all that apply.
A. x = 4
B. x = -7
C. x = 5
D. x = 0
Find the surface area of the cylinder below. Round to the nearest tenth if needed.
Answer:
777.5
Step-by-step explanation:
777.54418176347
5+x^2-7x in standard form
A tank is half full of oil that has a density of 900 kg/m3. Find the work W (in J) required to pump the oil out of the spout. (Use 9.8 m/s2 for g. Round your answer to the nearest whole number.)The tank has radius 12 m and spot coming out of the top with height 4 m.
Rounding to the nearest whole number, the work required to pump the oil out of the spout is approximately 5,068,032π J.
To find the work required to pump the oil out of the spout, we need to consider the potential energy of the oil. The work done is equal to the change in potential energy.The potential energy of an object is given by the formula: PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.
Given that the density of the oil is 900 kg/m^3 and the tank is half full, we can determine the mass of the oil. The volume of the tank is calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
The volume of the tank is (1/2)π(12^2)(4) = 288π m^3.
Since the oil is half full, the volume of the oil is (1/2)(288π) m^3.
The mass of the oil is the density multiplied by the volume:
m = (900 kg/m^3)(1/2)(288π m^3) = 129,600π kg.
The height of the oil is 4 m.
Now, we can calculate the potential energy:
PE = mgh = (129,600π kg)(9.8 m/s^2)(4 m) = 5,068,032π J.
For more such questions on whole number,
https://brainly.com/question/29207899
#SPJ8
What is the sum of two consecutive numbers is 141
The two consecutive integers such that their sum is 141 will be 70 and 71.
What is a number system?The number system is a way to represent or express numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's say that two consecutive integers are x and x + 1.
x + x + 1 = 141
2x + 1 = 141
2x = 140
x = 70
So, x + 1 = 71
Thus, it will be 70 and 71.
Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".
For more about the number system,
https://brainly.com/question/22046046
#SPJ5
A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
for more such questions on triangle
https://brainly.com/question/25215131
#SPJ8
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
Flying the SR-71A jet, Capt. Elden W. Joersz, USAF, set a record speed of 2193.16 miles per hour. At this speed, the algebraic expression 2193.16t gives the total distance flown in t hours. Find the distance flown by the SR-71A in 1.7 hours.
Final answer:
The required distance is 3728.372 miles.
Step-by-step explanation:
Step 1
The distance flown is t hours given by:
2193.16t
Step 2
Let distance be represented by d, thus:
d = 2193.16t
Step 3
d = 2193.16t
Substitute t = 1.7 in the relation:
d = 2193.16 x 1.7
Step 4
Solve for d:
d = 2193.16 x 1.7
d = 3728,372
a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please
PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.
Answer: 24
Step-by-step explanation:
To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.
Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.
The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.
Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19
Radius of the circle = 4.19/60 = 0.07
Angle of sector = 360 - 60 = 300 degrees
Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041
The area of the triangle can be found using the formula:
Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24
Therefore, the total area of the composite figure is:
0.0041 + 24 = 24.0041
Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.
GIVEN: AB, BC, and AC are congruent
CONJECTURE: A, B, and C are collinear
Is this true or false?
Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ9