Answer:
15.20feet
Step-by-step explanation:
Length of the ladder = 16foot (hypotenuse)
BAse of the ladder from the house = 5feet (adjacent)
height of the house = x (opposite)
Using the pythagoras theorem
hyp^2 = opp^2 + adj^2
16^2 = 5^2 + opp^2
256 = 25 + opp^2
opp^2 = 256-25
opp^2 = 231
opp =√231
opp = 15.20
Hence the house is 15.20feet high up the house
wo mountain climbers start their climb at base camp, taking two different routes, one steeper than the other, and arrive at the peak at exactly the same time. Is it necessarily true that, at some point, both climbers increased in altitude at the same rate
Answer:
It is necessarily true necessary to increase the altitude at same rate
Step-by-step explanation:
According to questions the time take by both the climbers is same where as their distance traveled and velocity is different
Let time taken to complete the journey for both the climbers= t
therefore t = [tex]\frac{d_1}{v_1} = \frac{d_2}{v_2}[/tex] where
[tex]d_1[/tex] and [tex]d_2[/tex] is the distance traveled by climbers
[tex]v_1[/tex] and [tex]v_2[/tex] is the respective velocity of climbers
So, it is necessarily true necessary to increase the altitude at same rate as the time taken depends on the ratio of their respective altitude with velocity
The two climbers arrived at the top of the mountain at the same time hence both climbers increased in altitude at the same rate.
Mountain climbers are people who ascend mountains. Usually, mountain climbers use steep routes. The altitude covered depends on the rate at which the altitude is increased.
Since the two climbers arrived at the top of the mountain at the same time, it then follows that both climbers increased in altitude at the same rate.
Learn more: https://brainly.com/question/10887629
A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
Answer:
Step-by-step explanation:
From x = -2 to x = 0, the average rate of change for both functions is negative
The quadratic function, y = x2, has an x-intercept at the origin
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
those 3 are good
The quadratic function, y = x², has an x-intercept at the origin is, TRUE
And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE
From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We have;
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.
And, Both are declining if you read the graph from left to right.
For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.
y = x²
If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3
For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.
If we insert 2 for x, we see that;
⇒ y = x² + 3
⇒ y = 2² + 3
⇒ y = 7
And, our y value in the point (2, 7) is 7.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
Which property is illustrated by the statement 6 X 4=4 X 6?
Answer:
Commutative property
Step-by-step explanation:
In the U.S., 51% of all births are boys, and 49% are girls. Use the binomial model to find the probability that 6 out of 10 births at a local hospital are boys.
P
(
x
)
=
[
n
!
x
!
(
n
−
x
)
!
]
p
x
q
n
−
x
P
x
=
n
!
x
!
n
-
x
!
p
x
q
n
-
x
A.
17%
B.
21%
C.
49%
D.
51%
Answer: The correct answer is B) 21%
Step-by-step explanation:
This is a binomial model probability problem. We need to find the probability of 6 out of 10 new births at a hospital being boys. The information we need is the number of trials observed, the number of successes and the percentage chance you have of any birth being a boy. The number of trials are 10, with the number of successes being 6 (the number of trials we want to be boys) It states that 51% or 0.51 of all births in the US are boys so we can use this value to determine our answer using our binomial model formula. After simplifying we get our answer of 21% I hope this has been of use to you :)
Have a wonderful rest of your day!
The probability that 6 out of 10 births at a local hospital are boys is 21%, so option B is correct.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given data:
In the U.S., 51% of all births are boys, and 49% are girls
Calculate the probability by the formula given below,
[tex]P(x) = [n! / {x!(n-x)!}]P^xQ^{n-x}[/tex]
Here x = 6 and n = 10, put the values,
P(x) = [10! / {6!(10-6)!}] × 51⁶ × 49⁽¹⁰⁻⁶⁾
P(x) = [10! / {6!4!}] × 0.51⁶ × 0.49⁴
P(x) = 210 × 0.0176 × 0.0577
P(x) = 0.21
P(x) = 21 %
Therefore, the probability that 6 out of 10 births at a local hospital are boys is 21%.
To know more about probability:
https://brainly.com/question/743546
#SPJ2
A bag of marbles had 36 yellow marbles and the rest were green. For a game, 32 marbles were chosen from the bag. Of these 32 marbles chosen, 78 were yellow.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."
Question 1
How many yellow marbles were NOT chosen
Question 2
How many of the bags marbles were NOT chosen
Question 3
How many yellow marbles were chosen
Answer
Step-by-step explanation:
what method matters?
Answer:
46
Step-by-step explanation:
46+ 32= 78
40+30=70
6+2=8
70+8+78
Anyone mind helping me? 4.5+x=11?
Move all terms not containing x to the right side of the equation.
x = 6.5
SOMEONE PLEASE HELP ME
I have so much math to do, can someone please help me out by doing this.
Answer:
1-4
An exponent is the amount of times a number is multiplied by itself
Ex: For number 1, 43 is being multiplied 4 times so it would be 43 to the 4th power (43 with a 4 above, I can't really type it so I apologize)
5-10
You might or might not need a calculator especially for the decimal but you will input the number into the letter "n" and multiply that by itself however many number of times is on the exponent.
Ex: For number 5, n=8 to the 2nd power would be 64 because 8 × 8 = 64
And so on and so forth for the rest of the questions! If you don't understand I would highly recommend asking your teacher or looking up videos because I feel like that would help more than typing it out in words! Good luck though!
1, 172 2, 300 3, x3 4, p5
i will put the rest in the comments
Which of the following values for y makes the inequality True? 3y >12
answer:
a value of five or more would make the inequality true
Maximum value of a+b if ab=36 is
Answer:
-------------------------------------------------------------------------------
Step-by-step explanation:
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:
3 hours 6 minutes?
Answer:
He will bike 26.87 miles.
Step-by-step explanation:
Given:
Jordan bikes at a speed of 8 2/3 mph.
Now, to find the distance he will bike in 3 hours and 6 minutes.
Speed =
Time = 3 hours and 6 minutes
=
As, 60 minutes = 1 hour.
=
Can someone help me find the complete square please?
Answer:
x= +-6 squareroot 2-10
Step-by-step explanation:
[tex]x=+-6\sqrt{2} -10[/tex]
6 12 5 7 7 3 9 mean median range
Answer: Mean:7 Median 7 Range:9
Step-by-step explanation:
10. Peter had a policy with a $250 deductible which paid 80% of his covered charges less deductible. He had medical expenses of $18,240.00. What is the insurance company's payment?
O $14,392
O $14,300
O $250
O $15,000
Answer:
$14392
Step-by-step explanation:
The insurance company's payment is $14392. which is the correct answer would be an option (A).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The required insurance company's payment is the difference between 80% of medical expenses and 80% of the deductible amount.
According to the given question, the required solution would be as:
The insurance company's payment = 80% of $18,240.00 - 80% of $250
The insurance company's payment = (80/100)18,240.00 - (80/100)250
The insurance company's payment = (0.80)18,240.00 - (0.80)250
The insurance company's payment = 14592 - 200
Apply the subtraction operation,
The insurance company's payment = $14392
Therefore, the insurance company's payment is $14392. which is the correct answer would be an option (A).
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ5
(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.
Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Can someone help me please!!
9514 1404 393
Answer:
AE = CE = 23; BE = DE = 20
Step-by-step explanation:
Put the values of the variables in their place and do the arithmetic.
AE = 2u+5 = 2(9) +5 = 23
BE = 6v-1 = 6(3.5) -1 = 20
CE = 3u-4 = 3(9) -4 = 23
DE = 8v-8 = 8(3.5) -8 = 20
The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.
When is subtraction always the first operation done in an expression?
A Never
B When it follows addition in an expression.
C When it is the first operation in an expression, from left to right.
D When it is in parentheses in an expression.
Answer:
b
Step-by-step explanation:
t
Given that R= 7x + 7y
Find r when y = 2 and R=8
find x
Give your answer as a fraction in its simplest form.
Answer:
Step-by-step explanation:
564/5
HELP PLEASEEEE IM BEGGING YOU
Answer:
40
3
9
70
6
7
10
2
42
8
Step-by-step explanation:
let's hope i didn't read naything wrong
PLEASE HELP ME I ONLY HAVE 5 MINUTES TO TURN THE WHOLE ASSIGNMENT IN
Answer: 2
Step-by-step explanation:
Answer:
Im pretty sure the answer is 2. Good luck<3
What is the difference of the polynomials?
Answer:
[tex]2x^{3} + 2x[/tex]
Step-by-step explanation:
[tex](x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)[/tex] --> Equation
[tex]x^{4} + x^{3} + x^{2} + x - x^{4} + x^{3} - x^{2} + x[/tex] --> Substituted the -1 on the second parentheses to successfully be able to subtract
[tex](x^{4} - x^{4}) + (x^{3} + x^{3}) + (x^{2} - x^{2}) + (x + x)[/tex] --> Combined Like Terms
[tex](0) + (2x^{3}) + (0) + (2x)[/tex] --> Simplified
[tex]2x^{3} + 2x[/tex] --> Simplified
Hope this helped! <3
Please help quick!!
Which expression is equivalent to
25?
- 2 + 2 + 2 + 2 + 2
- 5 + 5
- 2 · 2 · 2 · 2 · 2
- 5 · 5
the last one sorry i thought 5 was negative lol
Answer:
5 · 5
Step-by-step explanation:
2 + 2 + 2 + 2 + 2 = 10
5 + 5 = 10
2 · 2 · 2 · 2 · 2 = 32
5 · 5 = 25
Matt paid $450 in interest on a 15 month note for
$5600. Find the rate of interest paid.
Answer:
The rate is 6.43%
Step-by-step explanation:
Given
[tex]I = 450[/tex] --Interest
[tex]P = 5600[/tex] -- Principal
[tex]T= 15\ months[/tex] --Time
Required
Determine the rate
Using simple interest formula:
[tex]I = PRT[/tex]
Make R the subject
[tex]R = \frac{I}{PT}[/tex]
Convert time to years
[tex]T= 15\ months[/tex]
[tex]T =\frac{15}{12}\ years[/tex]
[tex]T =1.25\ years[/tex]
Substitute values for I, P and T
[tex]R = \frac{450}{5600*1.25}[/tex]
[tex]R = \frac{450}{7000}[/tex]
[tex]R = 0.0643[/tex]
Convert to percentage
[tex]R = 0.0643*100\%[/tex]
[tex]R = 6.43\%[/tex]
50 points
There are 63 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital?
Answer:
28
Step-by-step explanation:
63/9=7
7*4=28
In the mid term test Jesse scored 92%,89% and 90%.What was her main score
Answer:
100%
Step-by-step explanation:
Answer:
90.3%
Step-by-step explanation:
I think you have a typo. I'm pretty sure you meant mean score. To find the mean, we add up all the values and divide by the number of values. Let's add 92, 89, and 90. That gets us 271. Now, let's divide 271 by 3. That gets us 90.3. That means Jesse's mean score is 90.3%.
Are the following functions linear or nonlinear? Drag the tiles to complete the statements.
Tiles may be used once, more than once, or not at all.
Answer:
I don't see anything like a graph or anything.
Answer:
Need help
Step-by-step explanation:
Which statement about rational numbers is true?
O All rational numbers are fractions.
O Rational numbers never have repeating decimals.
O Some integers are not rational numbers.
O All fractions containing integers are rational nurnbers.
So can someone just kinda do these
Answer:
1.) -5/4
2.) 2
3.) 7/3
4.) 4
5.) -6
6.) -1
7.) 5/3
8.) -4
9.) 2
Step-by-step explanation:
this is what i got i hope they are all right
slope formula: (y2 - y1) / (x2 - x1)
ill give brailest
Read the excerpt below. Which of the following statements best summarizes the main idea of the excerpt?
In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes.
Elion believed that new drugs could be developed to help people.
Elion had to work for Hitchings because she was a woman.
Elion worked hard for more than 40 years to earn money for retirement.
Elion and her colleagues were responsible for developing important drugs.
Can anyone please help me?
Evaluate 3x-(5x-1)-3(2x-10)
Answer:
-8x + 31
Step-by-step explanation:
Hope it helps, have a great day