how do you solve this problem ??
Answer:
[tex]x=3c\sqrt{a} -b^2[/tex]
Step-by-step explanation:
[tex]\sqrt{a} =\dfrac{x+b^2}{3c}[/tex]
Multiply both sides by 3c:
[tex]\implies \sqrt{a} \cdot 3c=\dfrac{(x+b^2) \cdot 3c}{3c}[/tex]
[tex]\implies 3c\sqrt{a} =x+b^2[/tex]
Subtract [tex]b^2[/tex] from both sides:
[tex]\implies 3c\sqrt{a} -b^2=x+b^2-b^2[/tex]
[tex]\implies 3c\sqrt{a}-b^2=x[/tex]
Switch sides:
[tex]\implies x=3c\sqrt{a} -b^2[/tex]
A bakery has 56 donuts and 32 muffins for sale. What is the ratio of muffins to donuts?
A.
7 to 4
B.
1 to 4
C.
4 to 7
D.
4 to 1
Answer:
C. 4:7
Step-by-step explanation:
muffins 32
donuts 56
ratio of muffin to donut
= 32:56
= 16:28
= 8:14
= 4:7
Answer:
C. 4 to 7
Step-by-step explanation:
32:56
32÷8 = 4 and 56 ÷ 8 = 7
Smallest common factor is 8
Find the measure of x and y (NO LINKS OR REPORT)
Answer:
y= 35
x=55
Step-by-step explanation:
HELP ME PLEASE!!! A ball is thrown in the air from a platform that is 112 feet above ground level with an initial vertical velocity of 32 feet per second. The height of the ball, in feet, can be represented by the function shown where t is the time, in seconds, since the ball was thrown.
h(t)=−16t2+32t+112
Which of the following equations shows the function rewritten in the form that would be best used to identify the maximum height of the ball?
Question 16 options:
h(t)=−16(t−2)2+112
h(t)=−16(t−1)2+80
h(t)=−16(t−1)2+96
h(t)=−16(t−1)2+128
The ball thrown upwards follows a parabolic path
The equation that shows the function rewritten in the form that would be best used to identify the maximum height of the ball is [tex]h(t)=-16(t-1)^2+128[/tex]
How to determine the equivalent equationThe equation is given as:
[tex]h(t)=-16t^2+32t+112[/tex]
Factor out -16
[tex]h(t)=-16(t^2-2t)+112[/tex]
Express the bracket as a perfect square expression
[tex]h(t)=-16(t^2-2t + 1 - 1)+112[/tex]
Factor out -4
[tex]h(t)=-16(t^2-2t + 1)+112 + 16 * 1[/tex]
[tex]h(t)=-16(t^2-2t + 1)+128[/tex]
Express as a perfect square
[tex]h(t)=-16(t-1)^2+128[/tex]
Hence, the equivalent expression is [tex]h(t)=-16(t-1)^2+128[/tex]
Read more about parabolas at:
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Which expression is equivalent to
(3/2p+1)(1/2p+3)
Answer:
3/4p²+5p+3
Step-by-step explanation:
[tex]\dfrac{3}{4}p^2+5p+3[/tex] is the correct answer on simplifying [tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)[/tex].
SimplificationSimplification of expression is to get an expression in the rearranged form.
How to simplify the arithmetic expression?Simplify the given expression as-
[tex]\left(\dfrac{3}{2}p+1\right)\left(\dfrac{1}{2}p+3\right)=\dfrac{3}{4}p^2+3\times \dfrac{3p}{2}+\dfrac{p}{2}+3\\=\dfrac{3}{4}p^2+5p+3[/tex]
Thus, option C is the correct answer.
Learn more about arithmetic expression here- https://brainly.com/question/17722555
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Use the long division method to find the result when 4x3 + 4x2 + 19x + 9 is
divided by 2x + 1.
Answer:
47x+42/2
Step-by-step explanation:
simplify 9/2
((19x+20)+(9/2×x))+1
(47x+40)/2+1
(47+42)/2
Can u answer3 3/4 + 2 5/7
Answer:
[tex]6\frac{13}{28}[/tex]
Step-by-step explanation:
Add:
[tex]3\frac34 + 2\frac57[/tex][tex]\frac{15}{4} + \frac{19}{7}[/tex][tex]\frac{105}{28} + \frac{76}{28}[/tex][tex]\frac{181}{28}\\[/tex][tex]6\frac{13}{28}[/tex]-Chetan K
A 60 ounce glass bottle of juice sells for $4. 20 while a 1. 5 liter of the same juice sells in a plastic bottle for $3. 6. Compare the unit prices of the juice for the two containers. (1 liter is approximately 34 ounces) a. The juice in the glass bottle is 1 cent cheaper per ounce. B. The juice in the plastic bottle is 1 cent cheaper per ounce. C. The juice in the glass bottle is 10 cents cheaper per ounce. D. The juice in the plastic bottle is 10 cents cheaper per ounce. Please select the best answer from the choices provided A B C D.
James borrows 60000 dollars from a bank that charges interest at an annual rate of 5 percent, compounded monthly.
Calculate the monthly payment that James would have to make in order for the loan to be paid off after exactly 20 years.
Answer:
$395.97
Step-by-step explanation:
I'm desperate, this is my last assignment to do for now
Answer:
Given Below. [ done below, side changing which changed sign + to - and - to + ]Step-by-step explanation:
6. x + 21 = 56
→ x = 56 – 21
→ x = 35
7. n – 13 = 8
→ n = 8 + 13
→ n = 21
8. w – 7 =41
→ w = 41 + 7
→ w = 48
9. b + 22 = 89
→ b = 89 – 22
→ b = 67
10. z – 53 = 26
→ z = 26 + 53
→ z = 79
QUESTION
WORTH
20 POINTS!!! HELP ASAP PLEASE
why am i alive
Answer:
Cause you were born, as simple as that. Plenty of people deal with harsh life.
Step-by-step explanation:
That's not a math question BUT
If the question is why am I alive, I will answer it.
Although i am not a Christian(I deeply respect those who are, though),
I still believe there is an unnatural force that
selected you to be born and experience life for yourself.
If you are thinking about killing yourself, please call 800-273-8255
Find the solutions to the equation below.
Check all that apply
X^2-9=0
A X=-2
B. x= 3
C. x= -1
D. x= 2
Ex= 1
F. x= -3
Which inequality represents this sentence?
Five plus four is less than ten plus two.
5 + 4 < 10 + 2
05 +4 > 10 + 2
0 5+4 < 10 + 2
o 10 + 2 < 5 +4
There are about 30.5 centimeters in a foot. There are 3 feet in a yard. Choose one answer
Answer:
30feet= 91.5 centimeters
The total of cm in the 1 yard based upon 30.5 centimeters in a foot will be 91.5 centimeters.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
In another word, multiplication is nothing but changing one value by-product of another value
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given that
1 feet = 30.5 centimeters
Given that
1 yard = 3 feet
Hence 1 yard = 3 × 30.5 centimeter.
1 yard = 91.5 centimeters hence in 1 yard there will be 91.5 centimeters
For more information about multiplication
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Evaluate (-A) 2 for A = 5, B = -4, and C = 2.
Answer:
=-10 or 25 depending on the placing of the 2
Step-by-step explanation:
(-A)2=(-5)x2=-10
(-A)^2=(-5)x(-5)=25
How do i solve this????
What is the first term of the arithmetic sequence?.
Answer: -4
second part is x=3 y=10 z=17
Step-by-step explanation:
edge 2023
Model of car driven… is it qualitative or quantitative?
Answer:
ok so
Step-by-step explanation:
ok so if theres numbers its qualitative if it has to do with how it drives is quantitative
Samantha is paid a set wage of $962.50 for a 35-hour week, plus double time for overtime.
In one particular week she worked 40 hours. What are Samantha’s earnings?
Frederick asked a bank teller to cash a $390 check using $20 and $50 bills. If the teller gave
him 15 bills, how many of each did he receive?
12 of $20 and 3 of $50 totally didnt edit it... lolol..
Answer:
12 $20 Bills & 3 $50 Bills
Step-by-step explanation:
Because if the total is $390, Then if you get 10 $20 Bill that would equal $200 Bills and if you get 2 $50 Bills then you would get $100. Add the $200 Bills & the $100 Bills you get $300 Bills.
Then you get 1 $50 Bill and 2 $20 Dollar Bills you get $90 Bills.
Add $300 Bills with $90 Bills and you get $390.
If you add the number of bills handed it would be 15.
Answer only 22 please
Answer:
147.3°
Step-by-step explanation:
[ 180 × ( n - 2 ) ] ÷ 11
= [ 180 × ( 11 - 2 ) ] ÷ 11
= ( 180 × 9 ) ÷ 11
= 1620 ÷ 11
= 147.273°
A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 360 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview
Reducing the sample size to one-third, increases the error by √3.
Margin of ErrorThe margin of error is given by:
[tex]E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\where\ z_\frac{\alpha}{2} \ is \ the \ confidence\ level\ z\ score, \sigma\ is \ mean\ and\ n\ is\ sample\ size.\\\\n=360, hence:\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{360} } \\\\E=0.0527(z_\frac{\alpha}{2} *\sigma)\\\\For\ n = 1/3 * 360=120:\\\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{120} } \\\\E=0.09122(z_\frac{\alpha}{2} *\sigma)[/tex]
Reducing the sample size to one-third, increases the error by √3.
Find out more on Margin of Error at: https://brainly.com/question/10218601
To which linear equations is the coordinate a solution?
Select two options.
y = 2x + 13
y=-x-2
y = 3x - 5 2. >4 -2 2. 4
y=-x+6 -2 .
y=-2x-2
The linear equation y = -x - 2 and y = 2x + 13 form the solution (-5, 3)
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept.
Given the coordinate (-5, 3) as a solution.
The linear equation y = -x - 2 satisfies this this equation because 3 = -(-5) -2
Also, the linear equation y = 2x + 13 satisfies this this equation because 3 = 2(-5) + 14
Find out more on Linear equation at: https://brainly.com/question/14323743
Answer:
View attached graph
Step-by-step explanation:
y = 2x + 13 and y = -x - 2
Hope this helps!
What is the rule for the function shown in the table?
Input x -2, -1, 0, 1, 2
Output y 4, 1, -2, -5, -8
y = -2 x
y = x – 6
y = -3 x - 2
y = -2 x – 2
Answer:
y = - 3x - 2
Step-by-step explanation:
The function is linear and can be expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (- 1, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1-4}{-1-(-2)}[/tex] = [tex]\frac{-3}{-1+2}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , then
y = - 3x + c
To find c substitute any ordered pair into the equation
using (0, - 2 ) , then
- 2 = - 3(0) + c = 0 + c ⇒ c = - 2
y = - 3x - 2 ← function rule
Answer:
y = - 3x - 2
Step-by-step explanation:
I need help with my fractions
Answer:
1 1/2
Step-by-step explanation:
2/3 + 5/6 = 32 = 1 12 = 1.5. Spelled result in words is three halves (or one and one half).
PLEASE HELP & SHOW WORK PLS..
pls help! how would I solve this problem ?The figures shown are similar. Find the lengths of x, y, and z.
The parking garage is located 4 floors underneath ground level.
Answer:
Sometimes
Step-by-step explanation:
FBI agents use them I think
The triangle shown is reduced to form a similar triangle that is 40% smaller than its current size. Find the perimeter of the triangle.
Step-by-step explanation:
6x+2x+10+8x-30= 16x-20= 4(x-5)
40% of perimeter = 1.6(x-5)
The following triangular prism has a base that is a right triangle.
Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net. Use your net to calculate the surface area of the prism.
Answer:
The Answer is 175.86 cm^2
Step-by-step explanation:
4.3*5.2/2*2=22.36 cm^2
6.75*10=67.5 cm^2
10*4.3*2=86 cm^2
86+22.36+67.5=175.86 cm^2
Hoped this helped ^^
= 234.02
10 x 6.75 = 67.5 x 3 202.5
4.3 x 5.2 = 21.84 square root = 4.67
6.7/2 = 2 = 3.375
3.375 x 4.67 = 15.76
15.76 x 2 = 31.52
202.5 + 31.52 = 234.02