What is 5.1 x 10^-1 as an ordinary number?
Answer:
0.51
Step-by-step explanation:
10^1=divide by 10
5.1/10=0.51
A survey of 1,000 people was done by New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?
Hadmids will start at 11:00A.M., but the players must arrive at the field three-quarters of an hour early to warm up. The game must end by 1:15 P.M. Hadmid say he has to be at the field at 9:45 A.M is hadmid correct? Explain your answer.
If an arithmetic series has a1 equals=44, d equals 5, and n=24, what is sn?
Anyone know what the answer is?
What is the probability of getting a number greater than or equal to 2 when rolling a number cube number 1 to 6
the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
When rolling a fair number cube (also known as a fair six-sided die), each face has an equal probability of showing up. Since there are 6 faces numbered 1 to 6, the probability of getting any specific number (including 2) on a single roll is [tex]\( \frac{1}{6} \)[/tex], assuming the die is fair.
To find the probability of getting a number greater than or equal to 2, we can count the favorable outcomes (rolling a number 2, 3, 4, 5, or 6) and divide by the total possible outcomes (which is 6 for a fair six-sided die).
Favorable outcomes: 2, 3, 4, 5, 6 (total of 5 numbers)
Total possible outcomes: 6 numbers
So, the probability of getting a number greater than or equal to 2 when rolling a fair number cube is [tex]\( \frac{5}{6} \).[/tex]
A fire truck has a ladder that can extend to 60 feet in length. the ladder can be safely raised to a maximum angle of 75o with the horizontal. disregarding the height of the fire truck itself, which is closest to the maximum height that the ladder can safely reach?
Final answer:
Using trigonometry and the sine function, the maximum height that the ladder can reach when raised to a 75-degree angle with a length of 60 feet is approximately 58 feet.
Explanation:
To determine the maximum height that a fire truck ladder can safely reach when it is extended to 60 feet in length and raised to a maximum angle of 75 degrees with the horizontal, we would use trigonometry, specifically the sine function. The sine of an angle in a right triangle is equal to the opposite side (height in this case) divided by the hypotenuse (the length of the ladder).
Therefore, the maximum height (h) can be calculated using the formula:
h = Ladder Length × sin(Angle)
Where:
Ladder Length is 60 feet
Angle is 75 degrees
Plugging in our values we get:
h = 60 feet × sin(75 degrees)
Using a calculator, we find that:
sin(75 degrees) is approximately 0.9659.
Therefore:
h ≈ 60 feet × 0.9659
h ≈ 57.95 feet
The maximum height the ladder can safely reach when disregarding the height of the fire truck itself is approximately 58 feet.
A ceo of awesome coolers owns 8 pairs of pants, 10 shirts, 7 ties and 4 jackets. how many different outfits can he wear to the office if he must wear one of each item?
The perimeter of a rectangle is 22 ft and the area is 24 ft what is the length and width
The perimeter of a rectangle is 108 inches. the rectangle is 34 inches long. how wide is it?
QUICK QUESTION PLEASE. help.
The length of a rectangle is six times its width. If the perimeter of the rectangle is 112 ft, find its area.
The area of the rectangle will be 384 ft². Square feet and other similar units are used to measure area.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area.
Let the length of a rectangle is,l and the width of a rectangle be,w
Given condition;
l=6w
The perimeter of the rectangle = 112 ft,
⇒2l+2w=112
According to condition;
2(6w)+2w=112
12w+2w=112
14w=112
w=8
The length of a rectangle is;
l=6w
l=48
Area of rectangle = length × width
A =lw
A=6 × 48 ft
A=384 ft^2
Hence the area of the rectangle will be 384 ft².
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What values for xx and yy make △MNO≅△PRT▵MNO≅▵PRT?
Triangles MNO and PRT
-2x+4y=-8 which graph models the equation
Brainliest for correct answer!
Which strategy can be used to solve this problem? Dan has dogs named Chester and Ally. Together the two dogs weigh 40 pounds. Chester weighs 4 pounds more than Ally. How much does Ally weigh? A. Write a number sentence. Let p represent the amount that Ally weighs. (4 + 40) ÷ 2 = p B. Guess and test. Guess that Ally weighs 20 pounds. Add 4 to 20 to find out how much Chester weighs (24). Add Chester's and Ally's weights (44). Ask if the sum is more or less than 40. Revise your guess so it is 19 and test your answer again. Repeat the process until you have the correct answer. C. Draw a diagram. Draw 40 dots to represent how much the two dogs weigh altogether. Divide the dots into 2 equal groups and then divide one of the groups by 4.
Solve the polynomial equation. state the multiplicity of each root. 8x3 - 12x2 + 6x - 1 = 0
At Martina's auto shop, it takes her 15 minutes to do an oil change and 18 minutes to do a tire change. Let x be the number of oil changes she does. Let y be the number of tire changes she does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Martina can do in at most 3 hours ( 180 minutes).
A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?
(x - 2)2 + (y - 3)2 = 9
(x + 4)2 + (y - 5)2 = 9
(x + 4)2 + (y + 5)2 = 9
(x - 2)2 + (y + 5)2 = 9
The equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
After reflect a point over the line y = -1, we need to use the formula ;
(x,y) → (x, -y - 2).
Hence, We can apply this formula to each point on the circle and simplify to get the equation of the image circle:
(x + 4)² + (y - 3)²= 9
(x + 4)² + (-y - 2 - 3)² = 9
(x + 4)² + (y + 5)² = 9
So, the equation of the image circle is,
(x + 4)² + (y + 5)² = 9.
Therefore, the correct option is,
(C) (x + 4)² + (y + 5)² = 9.
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write this as an equation in point-slope form Please answer as quickly as possible. 50 pts!!!!!
m=-3, (-2,1)
what numbers are divisible by 810
A pizza has a circumference of 16 pie and the slices are cut at 24 degree angles.
a. What is the length of the crust of one slice of pizza?
b. What is the area of one slice?
c. If the radius was doubled what would be the area of one slice of te similar pizza?
Describe the number of solutions for each system of equations graphed
below
How can operations of polynomials be used to create new polynomial models? Provide real world examples of when it is necessary to add, subtract, multiply, or compose polynomials to get a new polynomial that model real situations.
Answer with explanation:
When we add, subtract or multiply or in some cases division is done between two or more Polynomials then we can get new polynomials.
This can be explained in following way
[tex]1.\rightarrow (x^3+x^2+3x+4) +(x^4+5x+6)\\\\=x^4+x^3+x^2+8x+10\\\\2.\rightarrow (x^3+x^2+3x+4) -(x^4+5x+6)\\\\=-x^4+x^3+x^2-2x-2\\\\3.\rightarrow (x+2)\times x^2\\\\=x^3+2x^2\\\\4.\rightarrow \frac{x^3+2x^2}{x}\\\\\rightarrow x^2+2x[/tex]
Real world Situation
There is a large enclosed room .We want to place bulbs in ceiling.To do that,we draw few straight lines that is Linear polynomial columnwise and then we have drawn Linear polynomial Row wise.The point of intersection of these lines gives the points where the bulbs should be fixed.Now ,if we join these points where the bulb is placed we will get a new polynomial.
Determine whether quantities vary directly or inversely and find the constant of variation. A teacher grades 25 students essays in 4 hours. Assuming he grades at the same speed, how long will it take him to grade 35 essays?
To determine whether quantities vary directly or inversely, let's first define the variables:
Let x be which student essays had been graded.
Let y be the time taken to grade those essays.
In this case, it seems that the time taken to grade essays varies inversely with the number of essays graded. This means that as the number of essays increases, the time taken to grade them decreases, assuming the grading speed remains constant.
So, we can set up an equation using the constant of variation: xy = k
where the variation in the ratio is designated by k.
Given that the teacher grades 25 essays in 4 hours, we can use this information to find the constant of variation:
25 × 4 = k
k = 100
Now that we have the constant of variation, we can use it to find the time it takes to grade 35 essays:
35y = 100
y = (100/35)
y ≈ 2.857
So, it will take approximately 2.857 hours to grade 35 essays.
To determine if quantities vary directly or inversely, we compare how changes in one quantity affect the other.
Here, as the number of essays increases, the time taken to grade them decreases, indicating an inverse relationship.
Using the formula for inverse variation, xy = k, where x is the number of essays and y is the time taken, we find the constant of variation by substituting values: 25 × 4 = k, which gives k=100.
With the constant, we can find the time to grade 35 essays: 35y = 100.
Solving for y, we get y ≈ 2.857 hours. Therefore, it will take approximately 2.857 hours to grade 35 essays.
Complete Question:
Determine whether quantities vary directly or inversely and find the constant of variation. A teacher grades 25 students' essays in 4 hours. Assuming he grades at the same speed, how long will it take him to grade 35 essays?
1. Point B lies on line AC. AC = 127, AB is represented by the expression -12x + 11, and BC is represented by the expression -8x - 4. What is the length of AB?
2. Point E lies on line DF. DE is represented by the expression 2x - 8. EF is represented by the expression 2x - 4. If DF = 36 inches, what is the length of DE? What is the length of EF?
Refer to the following illustration to answer this Question.
The center of a circle is at (−3, 1) and its radius is 9.
What is the equation of the circle?
The answer is (x + 3) 2 + (y − 1) 2 = 81
Use the graphs of f(x) =2/x and g(x)=1/-3-x to determine the solutions to f(x) = g(x).
A) (-2, -1)
B) (-2, 1)
C) (2, -1)
which of the following are examples of exponential decay
1) the population of a florida is increasing by 43% each year
2) the pesticide DDT has half life if 15 years
3) March madness has 64 teams in the bracket. Each round half the teams are eliminated
4) after an antibiotic is added to culture of bacteria, the number of bacteria is reduced by half every three hours
5) a tree frog population doubles every three weeks
The center of a circle is at (2, −5) and its radius is 12.
What is the equation of the circle?
(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24
The equation of the circle is given by (x-h)^2 + (y-k)^2 = r^2 where (h,k) represent the center of the circle and r represents the radius
From the question , we have been given (h,k) = (2,-5) and r =12
(x-2)^2 + (y-(-5))^2 = 12^2
The two minuses in the second term cancel out and give a plus. (-*- = +)
(x-2)^2 + (y+5)^2 = 144
So, the equation of the circle is:
(x-2)^2 + (y+5)^2 = 144 (Option A)
In an orienteering competition, Jada walks 70 degrees north of west for 200 meters. She then walks due east for 90 meters. How far and at what bearing is Jada from her starting point?
Answer:
N55.0679°W
Step-by-step explanation:
Check the attachment for detailed explanation.
I am having a bit of a hard time solving this problem, it would be a pleasure if some one were to help me!