Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The ratio of girls to students is choice c, 34:72 because it said girls to students. We already know the total number of students and the number of boys, all we have to do now is subtract the total number of students to the number of boys to get the number of girls, 72 - 38 = 34......and that's it we put the number of girls then the number of students.
Related Questions
Determine the whether the quadratic equation below has a maximum or minimum.
y = 4x² – 3x - 43
Answers
Answer:
Minimum
Need to know:
Derivative power rule: d/dx xⁿ = nxⁿ⁻¹
Derivative constant rule: d/dx c = 0
Step-by-step explanation:
A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.
If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.
Another way to determine this is through calculus.
First, we have to find the point of extremum
Find the derivative of the given equation
d/dx 4x² - 3x - 43
You can separate the terms and solve them individually
d/dx 4x² = 4(2)(x²⁻¹) = 8x
d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3
d/dx -43 = 0
y' = 8x - 3
Set y' to equal 0
8x - 3 = 0
Add 3 to both sides
8x - 3 = 0
+ 3 + 3
8x = 3
Divide both sides by 8
8x/8 = 3/8
x = 3/8
There is only one point of extremum
Now we have to test whether the equation changes from negative to positive or positive to negative
If it changes from negative to positive, that point is a minimum
If it changes from positive to negative, that point is a maximum
To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.
y' = 8(0) - 3 = -3
Now we will do the same for a number larger than 3/8. We'll use 1
y' = 8(1) - 3 = 5
Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.
Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program.
Including his financial aid, what is Jamal’s estimated cost per year? $
Jamal’s family will contribute $21,000 each year. How much will Jamal need to contribute? $
Jamal has one year to save enough for his first year’s contributions. Complete each statement to show how much Jamal will need to save each month based on his current savings.
If Jamal currently has $0 in savings, he will need to save $
each month.
If Jamal currently has $1,000 in savings, he will need to save $
each month.
If Jamal currently has $2,000 in savings, he will need to save $
each month
Answers
Based on the scholarships and grants that Jamal will receive, his estimated cost per year is $25,050.
If his family contributes $21,000, he will have to contribute $4,050.
If Jamal has $0 in savings, the amount to save each month is $337.50.
If Jamal has $1,000 in savings, the amount to save each month is $254.17.
If Jamal has $2,000 in savings, the amount to save each month is $170.83.
What is Jamal's estimated cost?= Cost per year of private university - Scholarships - Work study program
= (25,100 + 8,000 + 1,300 + 750) - 8,200 - 1,900
= 35,150 - 8,200 - 1,900
= $25,050
What amount will he contribute if his family contributes?= Estimated cost - family contribution
= 25,050 - 21,000
= $4,050
What amount should Jamal save?The amount that Jamal should save monthly can be found as:
= (Amount to contribute - Amount already saved ) / Number of months in year
If Jamal has $0, he should save:
= (4,050 - 0) / 12
= $337.50
If Jamal has $1,000:
= (4,050 - 1,000) / 12
= $254.17
If Jamal has $2,000:
= (4,050 - 2,000) / 12
= $170.83
Find out more on the cost of college at https://brainly.com/question/9299811.
John weights 65.7 kg. If he reduces his weight in the ratio 5 : 4, find his reduced weight.
Answers
Let the previous weight be 5x.
[tex]\small\bold\pink{ →}\small\bold{5x = 65.7 }[/tex]
[tex]\small\bold\pink{ →}\small\bold{x =\frac{65.7}{5}}[/tex]
[tex]\small\bold\pink{ →}\small\bold{x = 13.14}[/tex]
Therefore, the reduce weight = 4 × 13.14
= 52.56 kg
Answer :- 52.56 kg
Write an expression the represents the statement "Add 9 and 3, then multiply by 6"
PLEASE ANSWERRRR
15 point
Answers
Answer:
6(9+3)
Explanation:
Add 9 and 3 which is 9 + 3
THEN multiply by 6 which is 6(9 + 3)
I put parentheses because it's sayings to add first and then multiply!
How many outcomes will there be for rolling a six-sided number cube three times?
Answers
Answer:
216
Step-by-step explanation:
6 * 6*6 = 216 possible outcomes
The number of outcomes for a rolling of cube three times = 216 outcomes
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
When rolling a six-sided number cube three times, we can calculate the total number of outcomes by considering the number of possible outcomes for each individual roll
Now , For each roll of the number cube, there are six possible outcomes
Since we are rolling the cube three times, we need to multiply the number of outcomes for each roll together:
Number of outcomes = 6 x 6 x 6 = 216
Hence , there will be 216 possible outcomes when rolling a six-sided number cube three times
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ2
4x-6y+3=0
please answer and show work ASAP!!!
Answers
Step-by-step explanation:
This question is not complete check well
Thank you please help me thank you please help me I am stuck on this problem and its really important.
Answers
Answer:
the order is 30,60,90,120
Step-by-step explanation:
its ten times 3 then u just keep adding the same amount every ten.
Use the Triangle Inequality to determine if it is possible to draw a triangle with sides: 16 ft, 17 ft, 20 ft
Answers
Answer:
It is possible.
Step-by-step explanation:
Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem
If a number is a perfect square, then it has only 3 factors.
TRUE OR FALSE
Answers
Answer:
False.
Step-by-step explanation:
Think of the number 12 which is 2 * 2 * 3.
Now square 12 to 144.
144 is a perfect square since it is the square of 12.
144 = 2 * 2 * 2 * 2 * 3 * 3
What are the factors of 144?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.
That is a lot more than 3 factors.
For each value of w, determine whether it is a solution to w-38<11.
Answers
Answer:
No
Yes
No
Yes
Step-by-step explanation:
52-38<11
53-38<11
Both of these are no because they are greater than 11
Answer:
No
Yes
No
Yes
Step-by-step explanation:
put in the values instead of w and check if it is correct
[tex]52-38=14[/tex] which is not less than 11 so no
[tex]44-38=6[/tex] which is less than 11 so yes
[tex]53-38=15[/tex] which is not less than 11 so no
[tex]48-38=10[/tex] which is less than 11 so yes
Help me solve this problem please 1st problem
Answers
Answer:
I think its C
Step-by-step explanation:
Range means its the y axis and the graph shows -1 and 4 being the range
A swim team member performs a dive from a 14-foot high springboard. Her path is represented by the equation LaTeX: h\left(t\right)=-0.875t^2+5.25t+14h ( t ) = − 0.875 t 2 + 5.25 t + 14, where t is time in seconds and h is the height above the surface of the water. She needs to finish her flip no later than 5 feet above the surface of the water in order to prepare for the splash. What time does this happen? Round to the nearest tenth of a second.
Answers
Answer:
7.4secs
Step-by-step explanation:
If the path of a swim team member is modeled by the equation
h(t) = -0.875t²+5.25t+14
where t is time in seconds and h is the height above the surface of the water
If she need to finish in no later than 5feet above the surface, the expression will become:
-0.875t²+5.25t+14≤5
-0.875t²+5.25t+14-5≤0
-0.875t²+5.25t+9≤0
Rewriting using fraction
-7/8t²+21/9t+9≤0
To get the time that this happens we will need to factorize the resulting expression above;
On factorising
Find the roots of the equation using the formulas
t = 3+3√105/7
t = 3+ 3(10.25)/7
t = 3 + (30.75)/7
t = 3 + 4.393
t = 7.393
t = 7.4secs
Hence this happens at t = 7.4secs
Answer:
The time when the swim team member is 5 feet above the water surface is 7.4 seconds.
Step-by-step explanation:
You want to know when a member of the swim team finished his jump no later than 5 feet above the surface of the water to prepare for the splash, that is, when t is 5 feet above the surface of the water. Substituting h(t) for this value 5 in the equation you obtain:
5= -0.875*t²+5.25*t+14
A quadratic equation has the general form:
a*x² + b*x +c= 0
where a, b and c are known values and a cannot be 0.
Taking the equation 5= -0.875*t²+5.25*t+14 to that form, you get:
-0.875*t²+5.25*t+14-5=0
-0.875*t²+5.25*t+9=0
The roots of a quadratic equation are the values of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
In this case, solving the equation is calculating the values of t, that is, you find the time when the swim team member is 5 feet above the water surface.
Being a= -0.875, b=5.25 and c= 9, then
[tex]\frac{-5.25+-\sqrt{5.25^{2}-4*(-0.875)*9 } }{2*(-0.875)}[/tex]
[tex]\frac{-5.25+-\sqrt{27.56+31.5 } }{-1.75}[/tex]
[tex]\frac{-5.25+-\sqrt{59.06 } }{-1.75}[/tex]
[tex]\frac{-5.25+-7.685}{-1.75}[/tex]
Then:
[tex]t1=\frac{-5.25+7.685}{-1.75}[/tex] and [tex]t2=\frac{-5.25-7.685}{-1.75}[/tex]
Solving for t1:
[tex]t1=\frac{2.435}{-1.75}[/tex]
t1= -1.39 ≅ -1.4
Solving for t2:
[tex]t2=\frac{-12.935}{-1.75}[/tex]
t2= 7.39 ≅ 7.4
Since time cannot be negative, the time when the swim team member is 5 feet above the water surface is 7.4 seconds.
What is the approximate length of arc qr? round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters
Answers
The length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
What will be the Arc?The arc of the circle is defined as the product of the angle and the radius of the circle.
[tex]Arc=\theta \times r[/tex]
Now it is given in the question that
circle P, i.e. center is point P.
QS is a diameter with a length of 20 cm so radius =10 cm
Given that RP is the radius with
To find the length of arc QR =?
Now for finding the arc of QR we will find the angle [tex]\angle QPR[/tex] since we have the angle [tex]\angle RPS=123^o[/tex].
[tex]\angle QPR+\angle RPS=180[/tex]
[tex]\angle QPR+123=180[/tex]
[tex]\angle QPR=57^o[/tex]
[tex]\angle QPR=\dfrac{57\times\pi}{180} =0.99\ radian[/tex]
Now the formula for finding the arc will be given by
[tex]Arc \ (QR)=\angle QPR\times r[/tex]
[tex]Arc\ (QR)=0.99\times 10=9.9\ cm[/tex]
Thus the length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.
To know more about Arc of circle follow
https://brainly.com/question/25305793
You are making a canvas frame for a painting using stretcher bars. The rectangular painting will be 10 inches long and 8 inches wide. Using a ruler, how can you be certain that the corners of the frame are 90°
Answers
Answer:
make sure it’s acute
Step-by-step explanation:
since when you measure 90° the angle has to be acute
Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 kilometers per hour. how far apart were they after one hour? round the answer to the nearest tenth. a right triangle. a point at the angle with measure 90 degrees is labeled julia's house. a line drawn north is labeled 7 kilometers and a line drawn west is labeled 11 kilometers. 7.7 km 8.4 km 13.0 km 18.0 km
Answers
Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia
Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.
The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.
by the pythagorean theorem:
Answer: 13 km
Answer:
C
Step-by-step explanation:
I need help, if you could that would be awesome.
Answers
[tex]\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)[/tex]
[tex]\\ \rm\rightarrowtail -8x-4\leqslant 3x-15[/tex]
[tex]\\ \rm\rightarrowtail -11x\leqslant -11[/tex]
[tex]\\ \rm\rightarrowtail x\geqslant 1[/tex]
Answer:
x ≥ 1
Step-by-step explanation:
Given inequality :
-4(2x + 1) ≤ 3(x - 5)
Step 1 : Expand on both sides
-4(2x + 1) ≤ 3(x - 5)-8x - 4 ≤ 3x - 15Step 2 : Bring x terms to one side and numerical terms to the other
-8x - 4 ≤ 3x - 15-11x ≤ -11Step 3 : Divide by -11 on both sides
Remember when dividing by a negative number, the sign always changes to become the opposite-11x ≤ -11x ≥ 1
Solution
x ≥ 1
A triangle can be constructed by taking its sides as
(1) 1.8 cm, 2.6 cm, 4.4 cm
(2) 2 cm, 3 cm, 4 cm
(3) 3.2 cm, 2.3 cm, 5.5 cm
(4) 2.4 cm, 2.4 cm, 6.4 cm
Answers
Answer:
can be constructed by taking the sides 2cm, 3cm,4cm
3x - 4y= -2
In standard form
Answers
Answer:
[tex]4y = 3x + 2 \\ [/tex]
Step-by-step explanation:
y = mx + c[tex]3x - 4y = - 2 \\ 3x - 4y - 3x = - 2 - 3x \\ - 4y = - 2 - 3x \\ \frac{ - 4y}{ - 1} = \frac{ - 2 - 3x}{ - 1} \\ 4y = 2 + 3x \\ 4y = 3x + 2 \\ [/tex]
Estimate. Include commas if the answer is made of more than three digits.
56 x 324.
Answers
Answer:
19,200
Step-by-step explanation:
round 56 to 60 and round 324 to 320 then multiply the two numbers
What are the solutions of the quadratic equation below ?
x^2-8x+11
Answers
Answer:
x = 4 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
to find the solutions equate the quadratic to zero
x² - 8x + 11 = 0 ( subtract 11 from both sides )
x² - 8x = - 11
solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 11 + 16
(x - 4)² = 5 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{5}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{5}[/tex]
to make 1 dinner roll, 1/15 cups of flour is used. How much flour is used to make 48 dinner rolls?
Answers
convert 3\ 11 to a decimal using long divison
Answers
Answer:
0.27272727272
Step-by-step explanation:
Answer:
3/11 = .272
Step-by-step explanation:
Amy is catching a flight for London at 12:00 noon. Prior to leaving for the airport, she needs to allow 30 minutes for a shower and 30 minutes to finish packing last minute items. She also needs to give herself 1 hour to drive to the airport. If she needs to arrive for her international flight two hours before departure, then she needs to set her alarm to wake up by what time in order to be on schedule?
Answers
Answer:
8:00amStep-by-step explanation:
Given that the departure time is 12:00 noon
let us calculate the time she takes to prepare herself
preparation time
shower= 30minutes
last minutes item= 30minutes
drive to airport= 1 hour= 60minutes
total time for preparation = 2 hours
2 hours before departure time is 12-2= 10:00 am
with 2 hours of preparation she needs to set the alarm by=10-2= 8:00am
i suck at these so like…
Answers
x g(x)
-2 1/36
-1 1/6
0 1
1 6
2 36
~
Find the modulus of 15+36i
Answers
Answer:
The modulus is 39
Step-by-step explanation:
Modulus of a complex number
The modulus or absolute value, of a complex number, denoted |x+iy| is calculated with the formula:
[tex]\displaystyle |x+\mathbf{i}y|=\sqrt {x^{2}+y^{2}}[/tex]
The given complex number is z = 15 + 36i
Calculating the modulus:
[tex]|z|=\sqrt {15^{2}+36^{2}}[/tex]
[tex]|z|=\sqrt {225+1296}[/tex]
[tex]\boxed{|z|=\sqrt {1521}}[/tex]
|z|=39
The modulus is 39
what is the value of 30-2(7+2)-1
Answers
Answer:
48 :)
Step-by-step explanation:
Answer:
11 I'm pretty sure
Step-by-step explanation:
The members of the senior class are planning a dance. They use the equation
to determine the total receipts.
2r +t
2
Write the equation in terms of the following variables.
Answers
Answer:
I'm guessing you are saying 2r, t, and 2
If that is the case, then the terms are 2r, t, and 2.
Step-by-step explanation:
Terms are numbers in an equation, like terms is when you combine something that is the same variable.
The value of B is __
The value of a
Answers
Answer:
The value of B is 11 times the value of a.
Step-by-step explanation:
a =| 2 | 4 | 7 | 10 |
b =| 22 | 44 | 77 | 110 |
22 44 77 110
÷2 ÷4 ÷7 ÷10
--------- -------- ------- ---------
11 11 11 11
I hope this helps!
Answer:
see explanation
Step-by-step explanation:
from the table we can see that
the value of b is 11 times the value of a
Solve using substitution.
–6x + 7y = –6
6x − 8y = 12
Answers
Answer:
Step-by-step explanation:
- 6x + 7y = - 6 ⇒ 6x = 7y + 6 ...... (1)
6x - 8y = 12 ........ (2)
(1) ------> (2)
( 7y + 6 ) - 8y = 12
- y + 6 = 12
y = - 6 ------> (1)
- 6x + 7( - 6 ) = - 6
6x = - 42 + 6
x = - 6
( - 6 , - 6 )
(X= -6, Y= -6)
Please look at the picture.
Answers
Answer:
Blue
Step-by-step explanation:
I graphed it, and got the same thing.