Answer:
Step-by-step explanation:
Distributive property: a(b + c) = a*b +a*c
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\x^{2}(-10x^{2}+1)= x^{2}*(-10x^{2}) +x^{2}*1\\\\=-10x^{(2+2)}+ x^{2}\\\\= -10x^{4} + x^{2}[/tex]
Sapphire and Abe are shelving books at a public library. Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved.
Answer: 36
Step-by-step explanation:
Given: Sapphire shelves 12 books at a time, whereas Abe shelves 18 at a time.
If they end up shelving the same number of books, what is the smallest number of books each could have shelved = LCM (12,18)
12 = 2 x 2 x 3
18 = 2 x 3 x 3
LCM (12, 18) = 2 x 2 x 3 x 3 = 36
Hence, the smallest number of books each could have shelved = 36
Answer:
36
Step-by-step explanation:
nrly
The sum of two numbers is 60. The larger number is 20 more than the smaller number. What are the numbers? Larger number: Smaller number:
Nick is saving up for a laptop. His dad gave him $50 to start a savings account. He earns $9 every hour from his job, which he also saves. Write the equation of a function that can be used to find y, the total Nick has saved after x hours.
fill in the blanks
y =__ x + __
Heather works as a waitress at her family’s restaurant. She works 4 hours every morning during the breakfast shift and returns to work each evening for the dinner shift. In the last four days, she worked 26 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?
Answer:
5 hours
Step-by-step explanation:
she works 5 hours each dinner shift
What triangle is this ? Pleaseee helppppp !!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!
Answer:
isosceles right triangle
Please answer 1 - 3! thank you!
Answer:
The first one is
5x * 10
(x is the variable) TIMES 10
Step-by-step explanation:
A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the first day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.
Answer:
110%
Step-by-step explanation:
4000 100
8400 ?
8400x100
4000
210% of the expected people showed up
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with standard deviation 5 grams. How many mice must be weighed so that a 95% confidence interval will have margin of error of 0.6 grams?
Answer: n = 267
Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.
It can be calculated as
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
in which
z is z-score related to the confidence interval, which is this case is 1.96;
s is standard deviation;
n is the number in a sample;
So, the number of mice must be:
margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]
[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]
[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]
[tex]\sqrt{n}=16.33[/tex]
n = 267
For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.
The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.
Given :
Scientists want to estimate the mean weight of mice after they have been fed a special diet. From previous studies, it is known that the weight is normally distributed with a standard deviation of 5 grams.95% confidence interval.The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:
[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]
where z is the z-score, s is the standard deviation, and n is the sample size.
Now, substitute the known values in the above formula.
[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]
Simplify the above expression in order to determine the value of 'n'.
[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]
n = 267
Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.
For more information, refer to the link given below:
https://brainly.com/question/20982963
how important is writing the polynomial in standard form when dividing polynomial
The equation d=11t models the distance a mouse can travel when it runs at top speed. In the equation,d is the distance in feet and t is the time in second. Complete the table WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
t = 0 , d = 0
t = 2, d = 22
t= 4, d = 44
t = 6, d = 66
Step-by-step explanation:
Here, given the equation that relates the time in seconds to the distance in feet, we want to complete the given table
From the equation, we have that d = 11t
This mean that by multiplying the time by 11, we get the distance
Thus, we have that ;
when t = 0
d = 11 * 0 = 0
when t = 2
d = 11 * 2 = 22 ft
when t = 4
d = 11 * 4 = 44 ft
when t = 6
d = 11 * 6 = 66 ft
Given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.
Equation of a Proportional RelationshipEquation that models a proportional relationship between two variables, "t" and "d" can be expressed as: d = kt.k is the constant of proportionality.Given:
d = 11t
Find the corresponding values of d by plugging in the given values of t:
When t = 0,
d = 11(0) = 0
When t = 2,
d = 11(2) = 22
When t = 4,
d = 11(4) = 44
When t = 6,
d = 11(4) = 66.
Therefore, given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.
Learn more about proportional relationship on:
https://brainly.com/question/15618632
25 POINTS AND BRAINLIEST
Answer:
-2.4
Step-by-step explanation:
-54/22.5= -2.4
If it went down 54 degrees in 22.5 minutes, then you do -54/22.5, which gives you -2.4. So the temperature went down 2.4 F each minute. I think.
X^3 = 1,000
algebratic equations
Answer:
10
Step-by-step explanation:
x³=1000
x=3√1000
x=10
Answer:
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
Step-by-step explanation:
x^3 = 1000
x^3 - 1000 = 0
(x - 10)(x^2 + 10x + 100) = 0
x = 10 or x^2 + 10x + 100 = 0
x = 10 or x^2 + 10x + 25 = -100 + 25
x = 10 or (x + 5)^2 = -75
x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
Solve x2 + 32x = –255 by completing the square.
Question 8 options:
x = –17 and x = –15
x = –17 and x = 15
x = 15
No Real Solutions
Answer:
-15, -17
Step-by-step explanation:
x^2 + 32x = –255 move the -255 to the left
x^2 + 32x +255=0
What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32
(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17
x= -15, -17
Giving brainlest plz help me fast!!! I know this is physics but its also math (Look its math in science ok)
Interpreting Velocity vs Time Graphs
A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 3 straight segments. Line segment A runs from 0 seconds 0 meters per second to 4 seconds 40 meters per second. Then segment B runs to 9 seconds 40 meters per second. Then segment C runs to 10 seconds 10 meters per second.
Use the graph to determine acceleration and velocity.
Which segments show acceleration?
What is the velocity of segment B?
Choices for the first question:
A. A and B
B. A and C
C. B and C
Choices for the second question:
A. 8 m/s
B. 10 m/s
C. 40 m/s
D. - 40 m/s
Answer:
The velocity is being plotted. The velocity value indicates how fast the object is moving.
Step-by-step
C on the first one and C on the second one lol
Give brainlest PLZZZ
Answer:
its b to 9 seconds 40 meters per second
Step-by-step explanation:
the test was right
I’ll mark you brainlist I’ll mark you brainlist
Answer:
Step-by-step explanation:
Slope of the line =3\2
Answer:
its -0.67
Step-by-step explanation:
i typed it into my algevra calc
Which algebraic expression is a polynomial?
4x2 – 3x + 2
х
-6x3 + x2 - 15
* 8x2 + 7
-2x4 +
3
2x
2 3 4
Answer:
Its [tex]-6x^(3)+ x^(2) - \sqrt(5)[/tex]
Step-by-step explanation:
The algebraic expression that is a polynomial is -6x³ + x² - √5
What is a polynomial function?A polynomial function is an expression that consists of different types of variables. They include non-zero coefficients, positive exponents, and constants.
Types of polynomals include:
Linear function Quadratic polynomial function Cubic polynomial functionTo learn more about linear functions, please check: https://brainly.com/question/26434260
What is the range of the function f(x)=2x−4 when the domain is {-3, 0, 4}?
I found: Domain: all real x ; Range: all real y
What is 5=-2/3x+b X=4
I’ll give Brainlylist
Answer:
b = 23/3
Step-by-step explanation:
5 = -2/3(4) + b
5 = -8/3 + b
5 + 8/3 = b
b = 23/3
Adding two negative numbers together always results in a negative number." Is this statement True or False?
Answer:
true because when you add negatives it's the same as subtracting, so, you're just going further negative
Find the value of x
A- 6
B-5
C-4
D-10
Answer:
x=4
Step-by-step explanation:
In triangle MLK
it is a equilateral triangle HenceML=LK=MK=5Now come to triangle MKJ
It is a isosceles triangle Hence MJ=MkMK=5
Hence
[tex]\longrightarrow\sf MJ=5 [/tex]
[tex]\longrightarrow\sf x+1=5[/tex]
[tex]\longrightarrow\sf x=5-1 [/tex]
[tex]\longrightarrow\sf x=4 [/tex]
How do you find the rule using this tile pattern and this graph
(need desperate help so I’ll add you as brainliest)
Answer:
I wish you the best dont let people brign you down sending love
Step-by-step explanation:
How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold for a total of $1404?
Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
________________
add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
F is inversely proportional to d 2 . When F = 8 , d = 6 Work out d (positive value rounded to 2 DP) when F = 7
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
288 = k
F = [tex]\frac{288}{d^2}[/tex] ← equation of proportion
When F = 7 , then
7 = [tex]\frac{288}{d^2}[/tex] ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = [tex]\frac{288}{7}[/tex] ( take the square root of both sides )
d = ± [tex]\sqrt{\frac{288}{7} }[/tex] ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
when F = 7, d = 6.41
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
Given that F is inversely proportional to d.
F ∝ 1/d
F = k /d²
When F = 8, d = 6, we need to find k
k = Fd²
k = 8×(6)²=288
Now, we need to find d when F = 7
so substitute k = 288, F = 7 in the equation
F = k /d²
d² = k/F
d² = 288/7
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]d=\sqrt{\frac{288}{7}},\:d=-\sqrt{\frac{288}{7}}[/tex]
but, we need to take the positive value of d, so
[tex]d=\sqrt{\frac{288}{7}}[/tex]
[tex]d=6.41[/tex]
Therefore,
when F = 7, d = 6.41
A small frog is
inch long. A larger frog is 4 = times as long. How long is the larger frog?
PLS ANSWERS
the frog will be 4 inches long
The volume of an Amazon package is given by the function below.
8x^3+30x^2+13x−15
A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?
B. Using the volume formula, find the height of the package. (V=lwh)
Please show work
Answer:
Step-by-Step Explanation:
Area of the base = length × breadth
= (4x + 5) (x + 3)
= 4x(x + 3) + 5(x + 3)
= 4x² + 12x + 5x + 15
= 4x² + 17x + 15
_____________________________________
Volume = length × breadth × height
8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h
[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]
I need the measure of angle 6
Answer:
125°
Step-by-step explanation:
x + 24 is equal to 1.
6 is equal to 4x + 1
1 and 4x + 1 = 180°
x + 24 + 4x + 1 = 180
4x + x + 24 + 1 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
5x/5 = 155/5
x = 31
(angle) 6 = 4x + 1
(angle) 6 = 4(31) + 1
(angle) 6 = 124 + 1
(angle) 6 = 125°
Write the quadratic equation in standard form:
3x – 17 + 3x^2= -4
i can't do this, can someone explain
Answer:
i think its m=4 too
Step-by-step explanation:
mhhhh
1/2x+y = 3
y = 3x + 10
Solve using substitution
Answer:
(-2,4)
x = -2 y = 4
I hope this helps
SOS!! Please help, I have no idea what I'm doing smh
Answer:
slope of st is -0.25
slope of tu is 1
slope of us is -0.25
slope of sv is 1 so it is a parallelogram. the slope of the parallel lines needs to be the same to be a parallelogram. to find the slope, you need to find the change from the points of the referenced line, for example, slope of st you would label each point as x1, y1 and x2,y2. it does not matter which one you label and you can change them for each different line. you would then find the difference by subtracting (y2-y1) divided by (x2-x1) so 4-3=1 and 1-5 is -4. you then divide 1/-4 is -0.25. you the follow the steps for each line. is the parallel lines have the same slope, it is a parallelogram