Answer:
−3y2−8y−12
Step-by-step explanation:
Let's simplify step-by-step.
−5y2−9y−4−(−2y2−y+8)
Distribute the Negative Sign:
=−5y2−9y−4+−1(−2y2−y+8)
=−5y2+−9y+−4+−1(−2y2)+−1(−y)+(−1)(8)
=−5y2+−9y+−4+2y2+y+−8
Combine Like Terms:
=−5y2+−9y+−4+2y2+y+−8
=(−5y2+2y2)+(−9y+y)+(−4+−8)
=−3y2+−8y+−12
Answer:
[tex]-3y^2-8y-12[/tex]
Step-by-step explanation:
Simplify each term.
[tex]-5y^2-9y-4+2y^2+y-8[/tex]
Simplify by adding terms.
[tex]-3y^2-8y-12[/tex]
hope this helps :)
The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm
Answer:
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere is given by the following equation:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In which r is the radius.
Implicit derivatives:
This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
The radius of a sphere is increasing at a rate of 4 mm/s.
This means that [tex]\frac{dr}{dt} = 4[/tex]
How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?
This is [tex]\frac{dV}{dt}[/tex] when [tex]r = \frac{d}{2} = \frac{60}{2} = 30[/tex]. So
[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]
[tex]\frac{dV}{dt} = 4\pi*(30)^2*4[/tex]
[tex]\frac{dV}{dt} = 1508[/tex]
The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.
Craig has 6 bags of candy that weigh pound each. Wendy has 5 bags of candy that weigh pound each.
How does Craig's amount of candy compare to Wendy's amount of candy?
yes
As a fraction in simplest terms, what would you multiply the first number by to get the second?
PLEASE HELP ME :(
I will give brainliest plus 40 points!
Answer:
28/x=34
28/34=x
x=0.825is the required answet
Answer:
x = 17/14
Step-by-step explanation:
28 * x = 34
x * 28 = 34
Let's divide by 28 on both sides:
x = 34/28
Let's simplify by dividing both 34 and 28:
x = 17/14
17 is a prime number, so we can't simplify any further.
x = 17/14
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
what is 48,000 rounded to the nearest ten thousand
50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.
PLEASEEE HELP
I NEED ANSWRR NOW
Answer:
B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH
Which ordered pair is a solution? Select all that apply
y + 3 = 4 (x - 7)
(5, 5)
(10, 9)
(8, 1)
(-1, 5)
Answer:
(10, 9) and (8, 1)
Step-by-step explanation:
you can just use substitution
A florist sells a dozen roses for $22.60. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x and the total cost of the roses, Y. How much would 18 roses cost ?
please answer asap
Answer:
The cost of the roses are $53.10
Celebration! Hope this helps ^_^
If R, S, and T are collinear and RS + ST = RT, which of the following is true?
T is between R and S.
RS = RT
S is between R and T.
S is the midpoint of ./rt
Answer:
[tex]S \: is \: between \: R \: and \: T.[/tex]
Answer:
S is between R and T.
Step-by-step explanation:
The ratio of boys to girls is 2 to 3. There are 10 boys. How many girls are in the club?
Answer:
15 girls.
Step-by-step explanation:
Hope this helps!
Answer:
15 girls
Step-by-step explanation:
2:3 ratio
If you know the amount of boys, then 2x=10, x=5
Now you know that the scale factor is 5
So, multiply 5*3 to get the amount of girls
please help PLEASE HELP!!!!!!!!!!!!!!! I AM SUPER DESPARATE I NEED MUCH MUCH MUCH HELP
Answer:
8.v = r 2 πh 3
Step-by-step explanation:
I need help on these problems!! Please help
Answer:
1. 6cm
2. 14cm
3. 12cm
4. 8cm
5. 9cm
6. 5cm
Step-by-step explanation:
Hope this helps
2) In a random survey of 500 women, 315 said they would rather be poor and thin than rich and fat; in a random survey of 400 men, 220 said they would rather be poor and thin than rich and fat. Is there sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat
Answer:
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
Step-by-step explanation:
Here
p1= proportion of women who would rather be poor and thin than rich and fat
p1= 315/500= 0.63
p2= proportion of men who would rather be poor and thin than rich and fat
p2= 220/400= 0.55
1) Formulate the hypothesis as
H0: p1>p2 against the claim Ha: p1 ≤ p2
2) Choose the significance level ∝0.05
3) The test Statistic under H0 , is
Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))
pc^= an estimate of the common proportion
pc ^ = n1p1^ + n2p2^/ n1+n2
4) The critical region is Z≤ Z (0.05) = 1.645
5) Calculations
pc^ = 315+ 220/ 500+400= 535/900
pc^= 0.5944
and qc^= 1-0.5944= 0.4055
Thus
Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))
Z= 0.08/ sqrt (0.24108 (900/2000))
Z= 0.08/√0.10849
Z= 0.242887
Conclusion :
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manager receiving the circuits randomly selects 2, without replacement, and tests them. If both circuits work, the manager will accept the shipment. Otherwise the shipment is rejected. What is the probability that the shipment is accepted
Answer:
the probability that the shipment is accepted is 0.8865
Step-by-step explanation:
Given the data in the question;
N = 86, n/d = 5 and n = 2
now, without replacement
the probability that the shipment is accepted will be;
probability that the shipment is accepted = probability that non is defectives
so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))
p( non is defective ) = ( 81 / 86) × (80/85)
p( non is defective ) = 0.8865
Therefore, the probability that the shipment is accepted is 0.8865
Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)
Answer:
the angle between the diagonal is 0.6155 RADIANS
Step-by-step explanation:
Given the data in the question
as illustrated in the image below;
O is [0,0,0]
B is [15,0,15]
E is [15,15,15]
Now to find angle BOE
vector OB = [15,0,15]
vector OE = [15,15,15]
OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]
|OB| = √(15² + 15²) = √(225 + 225) = √450
|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675
so
Angle BOE = cos⁻¹ ( 450 / ( √450 × √675 )
Angle BOE = cos⁻¹ ( 0.81649 )
Angle BOE = 35.265°
Angle BOE = 0.6155 RADIANS
Therefore, the angle between the diagonal is 0.6155 RADIANS
How is the derivative of a function related to the slop of the function?
Hi there!
The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.
For example, take the equation y = x².
Using the power rule, we get:
y' = 2x
If we plug in any x-value into this equation, we can find the slope of the function at any point.
Ex:
x = 0; 2(0) = slope of 0
x = 2; 2(2) = slope of 4
I WILL MARK BRAINLIEST
The_______ allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
the answer will be hores collar
Step-by-step explanation:
thank you
Answer:
Horse Collar
Step-by-step explanation: I got it correct :D sorry im a bit late, that being said, this is for people who want an answer
A salesman makes both a base salary and also a commission, which is a percentage of
what he sells. Each month, if his sales total s dollars, he makes a total of 5000+ 0.2s. What
does the 5000 represent?
Answer:
a salesman make 5000+0.2
total 5000+5000.2=10000.2
1 ½ - 6/10 =
HELP PLS
Answer:
0.9
Step-by-step explanation:
1 1/2 = 1.5
6/10 = 0.6
1.5 - 0.6 = 0.9
how do i graph y=1/2x+3
If K = {(x, y) Ix-y=5), is Set K a function?
1. Νο
2. Yes
Answer:
no its not
Step-by-step explanation:
Which figure shows a line segment?
K
D
Step-by-step explanation:
Option c shows line segment because it has no arrow marks
hey i need help!!!!!!
Answer:2.10%
Step-by-step explanation:
2 is the whole number with 1/10 being also = to 10/100s
helpppppppppppppppppppppppppppp
Hi the answer should be 4
Please help me ASAP! on these two questions please and thank you have a great and blessed day!
Answer:
1: 1.268, 1.265, 1.256
2: $16.42
Step-by-step explanation:
I did the math.
you drive a car 45 miles at spd r (mph). on return trip, spd is 3/4 r. the round trip took 1 hr 45 min. find avg speed
Answer:
the agv speed is 223
Step-by-step explanation:
Answer:
51.42 avg mph
Step-by-step explanation:
45+45 = 90 miles total for 1 3/4 hours
90/.75 = 51.42 avg mph
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
The answer is A
30
A call center requires every employee to make 280 calls each week. Employees work 5 days a week.
How many calls should an employee make each day to meet the requirement if they make the same number of calls each day?
40
56
60
1,400
1,500
5. Which of the following is a pair of alternate exterior angles?
Angles 1 and 4
Angles 2 and 8
Angles 1 and 7
Angles 4 and 7
Answer: angle 1 and 7
Step-by-step explanation: you just do it
Describe how you would find the value of an "a" coefficient.
Answer:
A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.
Step-by-step explanation: