Answer:
a. 53.4
b. 24.4
Step-by-step explanation:
a+j=77.8
j=a-29
a+j=77.8
-a+j=-29
2j=48.8
j=24.4
a+24.4=78.8
a=53.4
A ball is dropped from the top of a building that is 250 feet tall. The
height h of the ball in feet after t seconds is modeled by the function h =
- 16t2 + 250. How long will it take for the ball to reach a height of 75
feet? Round to the nearest tenth.
hi
-16t²+250 = 75
-16t² = 75 -250
-16t² = -175
t² = -175 /-16
t² = 175/16
Here there si two solutions : t = [tex]\sqrt{175/16}[/tex] and t = - [tex]\sqrt{175/16}[/tex]
However, as time cannot rewind, we will keep only positive solution
So t = [tex]\sqrt{175/16}[/tex]
in seconds it will be : 3.3 seconds
Level 5:
C. Two motorcycles start at the same point. One travels 15 km due north and stops while the other travels 32 km due west
and stops. Which value is closest to the distance between the motorcycles when they are both stopped?
A. 28.3 km
B. 47.0 km
C. 35.3 km
D. 21.9 km
9514 1404 393
Answer:
C. 35.3 km
Step-by-step explanation:
From your knowledge of right triangles, you know that the hypotenuse is longer than the longest leg and shorter than the sum of the legs.
For this geometry, the distance of interest is longer than 32 km and shorter than 15+32 = 47 km. The only answer choice in the correct range is ...
35.3 km
by pairing the ratios
The radius of a circle is 4 kilometers. Use 3.14 for . What is the circle's circumference?
\Ih -what is the square root of 14161
Answer:
The answer is 119
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
There is a reason why the answer is 119
First, lets take a look at your perfect squares chart ( by tens )
10 x 10 = 100
20 x 20 = 400
30 x 30 = 900
40 x 40 = 1600
50 x 50 = 2500
60 x 60 = 3600
70 x 70 = 4900
80 x 80 = 6400
90 x 90 = 8100
100 x 100 = 10000
110 x 110 = 12100
120 x 120 = 14400
we know that 12100 < 14161 < 14400, so it has to be in between the square root of 110 and the square root of 120
111 x 111 = 12321
112 x 112 = 12544
113 x 113 = 12769
114 x 114 = 12996
115 x 115 = 13225
116 x 116 = 13456
117 x 117 = 13689
118 x 118 = 13924
119 x 119 = 14161
We found out that the square root of 119 = 14161
Therefore, the square root of 119 = 14161
If you want to find out a quicker way to do this, comment me below
The Colvilles are buying a new car. The cash price is $35,000.00. They will make a down payment of 20% or $5,000. The balance will be covered by an installment loan. The loan will be repaid in 48 monthly payments of $651. The annual percentage rate for the loan is
%. (Round your answers to two decimal places.)
9514 1404 393
Answer:
2.01% for a down payment of $5000
5.49% for a down payment of 20%
Step-by-step explanation:
There is no formula for the APR of a loan, given its other parameters. The value must be found using iterative or graphical means. The attached shows a graphical solution for each of the two cases for a 4-year loan.
For 20% down payment, APR ≈ 5.49%
For $5,000 down payment, APR ≈ 2.01%
Answer:
2.01% for a down payment of $5000
5.49% for a down payment of 20%
Step-by-step explanation:
Please explain how you got the answer
Answer:
52.5
Step-by-step explanation:
Find inner square (7 * 7 = 49), then find outer triangles (.5*7=3.5 for both) then u get 52.5 plz mark 5 str, helpfull, and brainliest!
What are the coordinates of point (-2, -4) after a 180 degree rotation?
Answer:
(2, 4)
Step-by-step explanation:
Anytime you rotate a point 180° about the origin, the x-coordinate and y-coordinate become their opposites.
(x,y) becomes (-x,-y)
whats the oposite if -5 ?
help please i need it asap! thank tou
Answer:
X = 3
Step-by-step explanation:
x= 6 x 1/2
Find 0% of 200:
Find 100% of 200:
Find 50% of 200:
Find 25% of 200:
Find 75% of 200:
Answer:
0
200
100
50
150
Step-by-step explanation:
0% of 200 = 0
100% of 200
= ( 100 / 100 ) x 200
= 1 x 200
= 200
50% of 200
= ( 100% of 200 ) / 2
= 200 / 2
= 100
25% of 200
= ( 50% of 200 ) / 2
= 100 / 2
= 50
75% of 200
= ( 75 / 100 ) x 200
= ( 75 x 200 ) / 100
= 75 x 2
= 150
15. The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three U.S. women in this age group. What is the probability that at least one of the women has a Chlamydia infection
Answer:
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.
This means that:
[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]
Take a random sample of three U.S. women in this age group.
This means that [tex]n = 3[/tex]
What is the probability that at least one of the women has a Chlamydia infection?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
at donald's donuts the number of donut holes in a bag can vary. Help donald find the mode. 12,10,10,10,13,12,11,13,10
Answer:
Mode is 10
Step-by-step explanation:
The mode is 10, because it appears the most.
Hope this helps!
Answer:
10
Step-by-step explanation:
I just did it in i ready
What is the value of 3n2 − 4m ÷ 6 when n= 4 and m= 18?
Plz, help me!
Answer:
36
Step-by-step explanation:
3*4^(2) - (4*18)/(6)
Answer:
-4is the answer of this question
Step-by-step explanation:
=3*42-4*18
=-4
Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi
Answer:
The rule for the translations can be written as T -3,1(x,y).
The rule for translations can be written as (x,y)➡️(x-3,y+1).
Step-by-step explanation:
Answer:
A, and D
Step-by-step explanation:
Took Unit test edge 2022
10 POINTS!!!! Which polynomial represents the sum below ?
The answer is in option B.
Answer:
The right answer to this question is B
Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.
The mean is $
. The median is $
. The mode is $
.
The
best describes the data, so the
is the better measure of variability.
Answer:
Mean: $16.1
Median: $15.00
Mode:$15.00
The mode best describes the data, so the mean is the better measure of variability.
Step-by-step explanation:
How to find the mean:
Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)
How to find the median: Order your values from least to greatest, then find the value in the center.
How to find mode: Look for the most frequent value in the data set. What value shows up the most?
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
What is the mean, median, mode?
Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.
Here given data is
$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]
Here,
Mean is the sum of all values divided by number of observation
i.e,
[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]
Median is the middle value of the data, firstly we arrange the data in ascending order
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
So, the middle value is [tex]15.50[/tex] $.
Mode is the repetition of the same number in the data
[tex]15.00,15.00,15.50,17.00,18.00[/tex]
Then, [tex]15.00[/tex] is the mode of the given data.
Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].
Here, the mode best describes the data, so the mean is the better measure of variability.
To know more about the mean, median and mode
https://brainly.com/question/3183994
#SPJ2
how do nurses utilize a quadratic equation and example
Answer:
Nurses use the quadratic equation for calculating the dosage of the patients, calculating drip rates, conversion between the systems, drug titration, and more.
Step-by-step explanation:
Nurses with an order to "give 750 mg every 4 hours as needed for pain" may receive 250 mg tablets from the pharmacy, requiring them to calculate the number of pills to administer. They also need to calculate the amount of medicine to give when drawing up liquid medicine for injection. In order to give 7.5 mg must be compared to the vial, which states, "5 mg per cc." Some medication orders require the nurse to calculate the dosage based on the patient's weight.
Quadratic equations are applicable in nursing particularly in the aspect of drug and dosage administration.
Dosage of drugs or other medications usually have units of measurement which are to be administered with respect to factors such as time and weight of the patient. Therefore, the required dosage which will be administered with respect to time and weight can be expressed as a quadratic function.A scenario whereby, a nurse is supposed to administer 20 mg of medication to 5 patients weighing 20 pounds above a certain weight. The stipulated weight can be calculated using a quadratic equation.Therefore, quadratic equations are applicable in nursing particularly in dosage administration.
Learn more :https://brainly.com/question/17177510?referrer=searchResults
Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.
f(x) = -2x2 + 32x - 126
Answer:
MAX: (8, 2)
too lazy to write out the solution, sorry.
Answer:
this is what i got -2(x-9)(-7) hope it helps
Step-by-step explanation:
12 + 22 u = PLS HELP
Answer:
34
Step-by-step explanation:
you roll a six sided number cube and flip a coin what is the probability of rolling a number greater than 3 and flipping tails write your answer as a fraction in simplest form . will give brainliest to whoever gets an answer first
Answer:
i dont know
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation: 3/6 times 1/2 = 1/4 :)
there is a 60% chance that your flight will leave on time
What are chances it will not leave on time
Answer:
The correct answer would be 40
Step-by-step explanation:
40+60=100
Mr. Duval paid $2,730 to rent a home for 6 months. Ms. Phee paid $5,496 to rent a home for 1 year. Which of the following is true?
Α. Ms. Phee paid $3 less per month than Mr. Duval.
B. Ms. Phee paid $3 more per month than Mr. Duval.
C. Mr. Duval paid $460 per month to rent the home.
D. Ms. Phee paid $455 per month to rent the home.
Answer:
B
$2.730 divided by 6 equals 455
$5,496 divided by 12 equals 458
458-455=3 so the answer is B
the sum of two number is 50,and their difference is 30.find the numbers
Answer:
40 and 10
Step-by-step explanation:
if you add them you get 50 and if you subtract them you get 30
Answer:
40 and 10
Step-by-step explanation:
Let the bigger number = x
Let the smaller number = y
x+y=50
x-y=30
(add the equations)
(x+x)+(y-y)=(50+30)
2x=80
x=40
x+y=50
40+y=50
y=10
One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need in order to transport everyone to the zoo for a field trip?
Answer:
4
Step-by-step explanation:
29x5=145
= 145 (divided) 46= 3.15...
4 buses
z-(-7)< 5
Solve this inequalities
Answer:
z less than -2
Step-by-step explanation:
z negative times negative is positive and 1 x 7 is 7
z+7 less than 5
z less than 5 - 7 because if a positive number crosses the sign it becomes negative
z less than -2 because 5-7 is -2
hey can someone HELP ME PLZ>>>>>>>>>>>>>>>>>>
Answer:
the answer is 1638.3
Step-by-step explanation:
rounded it
Answer:1638.300
Step-by-step explanation: the tenth is the first number behind the .
here's the question
Answer:
it is 2
Step-by-step explanation:
pls make me blanliest
Assignments
Calculate the circumference and area of the circle shown below. Record your answers,
with units, on the lines provided Use 3.14 for pi.
Calendar
Files
5 in
C = πά
А = 2
Answer:
That is true
Step-by-step explanation:
You got it right
Solve by elimination 4x - 4y = 8 -9x + 8y = -16
