The linear equation that shows the total number of square yards refinished after x weekdays is given by:
y = 10 + 8x.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
10 square yards have already been completed over the weekend, hence the y-intercept is of b = 10.Researching the problem on the internet, it is found that for each day, 8 square yards are completed, hence the slope is of m = 8.Thus, the equation is given by:
y = 10 + 8x.
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If you are 15 years old now, which equation could be used to solve for your age, y, 12
years from now?
Add 12 to the current age:
Y = 15 + 12
Answer:
y=15x12
Step-by-step explanation:
Which equation correctly describes the relationship between the
measure of the inscribed angle and the measure of the
intercepted arc in the figure?
m JKL= mJL
1/2m JKL = mJL
2(m JKL) =mJL
m JKL = 360° – mJL
The relationship that describes the measure of the inscribed angle and the measure of the intercepted arc is: 2(m∠JKL) = m(JL)
What is the Inscribed Angle Theorem?The inscribed angle theorem states in a circle, the measure of the angle that is inscribed is always half of the arc that is intercepted. Which means that the intercepted arc is twice the measure of the inscribed angle.
In the image given:
m∠JKL is the inscribed angle.m(JL) is the intercepted arcTherefore, the relationship that describes the measure of the inscribed angle and the measure of the intercepted arc is: 2(m∠JKL) = m(JL)
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Answer:
2(m∠JKL)=mJL
Step-by-step explanation:
I took the test :)
what is 30x120? since i dont know how to multiply by doubles :)
Answer:
The answer to 30*120 is 3,600
Answer:
30 times 120 equals 3600
Step-by-step explanation:
One thing that is really easy to use to multiply is a calculator (either online or a hand-held one). But here is how you can multiply without a calculator...
Set up an equation on a piece of paper like how it is shown right below...
30
x 120
Then, times the last digit (so the zero) of the bottom number. (But it doesn't really matter what order you put them in). Then, times it by the last digit of the top number. So that would equal 0! So as shown below, you would put the answer like so...
30
x 120
0
Then, you do 0 (last digit of bottom number) times 3 (you keep going left of the top number's digits). So that would also equal 0.
30
x 120
00
0
Then you add a zero below, since we are now moving on to the next number to the left of the last digit of the bottom number (hopefully this is making sense). Then you do the exact same thing.
30
x 120
00
600
Now that we're done with that, we add two zeros this time, since we are in the hundreds now. So it is to the next number now! (1) And then we do the exact same thing again!
30
x 120
00
600
3000
Alright, that's done! Now we add all those answers together (0+600+3000)
And that gives us our answer! 3600!
Hopefully that made sense! :)
John ate more calories than his body needs. What will happen if he doesn't burn them off?
A. The extra calories will be stored as fat.
B. Nothing. You can never eat too many calories.
C. He will get bigger muscles.
D. He will get the flu.
the weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. a truck used to transport goats can only accommodate not more than 650 kg. if 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
Using the normal distribution, it is found that there is a 0.0571 = 5.71% probability that the total weight exceeds the maximum weight.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, we have that the parameters are given as follows:
[tex]\mu = 60, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]
The probability that the total weight exceeds the maximum weight is the probability of a sample mean above 650/10 = 65 kg, which is one subtracted by the p-value of Z when X = 65.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{65 - 60}{3.1622}[/tex]
Z = 1.58.
Z = 1.58 has a p-value of 0.9429.
1 - 0.9429 = 0.0571.
0.0571 = 5.71% probability that the total weight exceeds the maximum weight.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
Write an explicit formula for the arithmetic sequence:
-2,7,16,25,...
Answer:
a_n = 9n - 11
Step-by-step explanation:
Explicit rule for an arithmetic sequence is a_n = a_1 + (n-1) d
a_1 is the first term of the sequence
d is the common difference. To find d you pick a number in the sequence and subtract it by the previous number. For example, 7 - (-2) = 9
16 - 7 = 9 so, d = 9
a_1 = -2 since it is the first term. Now substitute these numbers into the formula.
a_n = -2 + (n-1)(9)
And then we simplify.
9 • n = 9n
9 • -1 = -9
Then we’ll have a_n = -2 + 9n -9 and well simplify even further.
-2 -9 = -11
So we get
a_n= 9n -11
hope that helped! God bless you!!
what is the length of the third side(AC)
Answer:
Step-by-step explanation:
Use pythogeream theroem:
Explanation in image attached :)
help pls I give brainiest
if f(x)=-2x+6(4-3), what is f(8)
Answer:
f(8)= -16 + 6
Step-by-step explanation:
f(x) = -2x + 6(4-3)
f is a function. In this case, a function of variable x. So wherever x is written, swap it by the variable of a number which is 8.
Find the lateral area of the cone
Answer:
I think
Step-by-step explanation:
25x9
is 225
which should be it
the snow globe below is formed by an hemisphere and cylinder on a cylinder base.
Answer:
cylinder
Step-by-step explanation:
Find the width of a cereal box that has a volume of 5,568 cm3 and is 29 cm long and 48 cm high.
Check the picture below.
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=29\\ h=48\\ V=5568 \end{cases}\implies \begin{array}{llll} 5568=(29)w(48)\implies \cfrac{5568}{(29)(48)}=w \\\\\\ 4=w \end{array}[/tex]
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Only answers needed
Answer:
Card 9: 62.8 Card 10: 235.5 Card 11: 79.94 Card 12: 230.79
Step-by-step explanation:
Help please. I do not understand the assignment my teacher has given me.
Step-by-step explanation:
Match in the given pattern
1-->F
2-->A
3-->E
4-->C
5-->B
6-->D
I hope it helps you
7. Janine rented an apartment for $900 a month. After a year, she bought a house with a monthly mortgage of $1,250. At the end of the year, she is able to deduct $4,900 in real estate taxes and $8,400 in interest. Janine's
taxable income is $42,000. Using the tax schedule below, how much was she able to save on her taxes due to her home ownership?
$2,940.00
Yw and pls mark me brainiest
Given the system of contstraints: y ≥ 2x x y ≤ 14 y ≥ 1 5x y ≥ 14 x y ≥ 9 which region represents the graph of the feasible region for the given constraints? a b c
Region A is the region that represents the graph of the feasible region
For the given constraints
y ≥ 2x x y ≤ 14 y ≥ 1 5x y ≥ 14 x y ≥ 9
Let's look to the graph to answer the question
y ≥ 2x represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line
The solution is in the A region
x + y ≤ 14 represented by the line shown in figure
The sign of inequality is smaller than, then the shaded part will
be under the line
The solution is in A or B or C regions
y ≥ 1 represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line.
What is the meaning of inequality?The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
inequality means in the equation
The solution is in A or B or C regions
5x + y ≥ 14 represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line
The solution is in A or B or C regions
x + y ≥ 9 represented by the line shown in figure
The sign of inequality is greater than, then the shaded part will
be over the line
The solution is in A or B regions
From all the above the common region in the five inequalities is A
Region A is the region that represents the graph of the feasible region
for the given constraints.
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Answer:
A
Step-by-step explanation:
The Answer is A on Edge as of 2022
need help asap please
Answer:
5 : 7
Step-by-step explanation:
First figure surface a * a * 6 = 6 a^2
now scale the dimesion by x
ax * ax * 6 = 6 a^2 x^2
= 150 x^2 = 294
x^2 = 294/150
x = 7 : 5 is th ratio of the larger to the smaller
WILLGIVEBRAINLIEST,THANKS,5STARS!
PLEASE HELP!
PLEASE EXPLAIN IN DEPTH!
x=2
Solution:In order to isolate x, we should first of all take the square root of both sides.If we take the square root of the left-hand side, we will get[tex]x-\displaystyle\frac{1}{2}[/tex]How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)So we have[tex]x-\displaystyle\frac{1}{2} =\frac{3}{2}}[/tex]Move -1/2 to the right:[tex]x=-\displaystyle\frac{3}{2} +\frac{1}{2}[/tex][tex]x=\displaystyle\frac{4}{2}[/tex]x=2Hope it helps.
Do comment if you have any query.
Find the range of the graph below
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The range for the given function is ~
[tex]\qquad \tt \dashrightarrow \: - 6 \leqslant y \leqslant 9[/tex]
Because, maximum value of y is 9 and minimum value is -6. so range lies between these two points (including them).
Find the 43rd term of the algebraic sequence if a21 = −32 and a50 = −119.
PLEASE REALLY NEED HELP WITH THISSSS
70 POINTS!!!!!!!!!!!!!!!!!!!!!
Answer:
- 98Step-by-step explanation:
Given
[tex]a_{21}=-32[/tex][tex]a_{50}=-119[/tex]Find [tex]a_{43}[/tex]
We know that
[tex]a_n=a_1+(n-1)d[/tex]Appy this to the two known terms and find the first term and the common difference
[tex]a_1+20d=-32[/tex] ⇒ [tex]a_1=-20d-32[/tex] [tex]a_1+49d=-119[/tex] ⇒ [tex]a_1=-49d-119[/tex]Find the coomon difference
-20d - 32 = - 49d - 11949d - 20d = 32 - 11929d = - 87d = - 87/29d = - 3Find the first term
a₁ = - 20(- 3) - 32 = 60 - 32 = 28Now find the 43th term
a₄₃ = 28 + 42(- 3) = 28 - 126 = - 98Answer:
-98
Step-by-step explanation:
General form of an arithmetic sequence:
[tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
[tex]a_{21}=-32[/tex][tex]a_{50}=-119[/tex]To find the 43rd term we need to construct an equation for the nth term. To do this, find the first term and the common difference by substituting the given information into the general formula to create a system of equations that can be solved.
[tex]\begin{aligned} \underline{\textsf{Equation 1}}} \\ a_{21} & =-32 \\ \implies a+(20-1)d & = -32 \\a+20d & =-32 \end{aligned}[/tex]
[tex]\begin{aligned} \underline{\textsf{Equation 2}}} \\ a_{50} & =-119 \\ \implies a+(50-1)d & = -119 \\a+49d & =-119 \end{aligned}[/tex]
Subtract Equation 1 from Equation 2 to eliminate a:
[tex]\begin{array}{r l}a+49d & = -119\\- \quad a+20d & = -32\\\cline{1-2}29d & = -87\end{aligned}[/tex]
Solve for d:
[tex]\implies d=\dfrac{-87}{29}=-3[/tex]
Substitute the found value of d into one of the equations and solve for a:
[tex]\implies a + 20(-3)=-32[/tex]
[tex]\implies a=28[/tex]
Substitute the found values of a and d into the general formula to create an equation for the nth term:
[tex]\implies a_n=28+(n-1)(-3)[/tex]
[tex]\implies a_n=31-3n[/tex]
Finally, substitute n = 43 into the found formula to find the 43rd term of the sequence:
[tex]\implies a_{43}=31-3(43)=-98[/tex]
Learn more about arithmetic sequences here:
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HELP! WILL GIVE BRAINLEST!The graph below shows an angle in standard position. What is the degree measure of the angle depicted?
Answer:
45 degree angle
Step-by-step explanation:
Let's say that the line crossing the middle of quadrant four was on the y-axis, that would be known as a 90 degree angle. Since it was cut in half, that would become a 45 degree angle.
what is the fifteenth term in the sequence 5, 7, 9, 11, 13...?
Answer:
33.
Step-by-step explanation:
Arithmetic sequence with a1 = 5 and d = 2.
nth term = a1 + d(n - 1), so
15th term = 5 + 2(15 - 1)
= 5 + 2*14
= 33.
EASY, PLEASE HELP, I AM STUCK!
Answer:
75
Step-by-step explanation:
15/12
there are 1.25 boys for every girl in the gaming club
60*1.25=75
Select all expressions that are equivalent to -4(x + 2) - 2x + 4.
A. -6x - 4
B. -4x + 2 - 2x + 4
C. -10x
D. -4x + -8 - 2x + 4
E. -4x - 2x - 8 + 4
Answer:
=>A. -6x - 4
Step-by-step explanation:
=>-4(x + 2) - 2x + 4
=> -4x-8-2x+4
=> -6x-4
You want to estimate the height of LSC-CF students. You choose a random sample of 100 students and find that the mean height of these students is 66 inches, with a S of 3 inches. Calculate a .95 confidence interval for LSC-CF students.
Answer:
1.35 to nearest whloe ounce
Solve: log4(7t + 2) = 2
t =
Answer:
t = 2
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{4}[/tex] (7t + 2) = 2 , then
7t + 2 = 4² = 16 ( subtract 2 from both sides )
7t = 14 ( divide both sides by 7 )
t = 2
Answer:
t = - 4/13
Step-by-step explanation:
pls help DUE TODAY (13points)
Answer:
42 ft²
Step-by-step explanation:
Rectangle Area: L * W
[tex]\bf A=(8ft)(6ft)[/tex]
[tex]\bf 48 \; ft^2[/tex]
[tex]\bf A= (3ft)(2ft)[/tex]
[tex]\bf 6\;ft^2[/tex]
[tex]\bf 48ft^2-6ft^2[/tex]
[tex]\boxed{\bf 42\; ft^2}[/tex]
Answer:
42
Step-by-step explanation:
6 x 6 is 36. 3 x 2 is 6. 36 + 6 is 42.
!!! 20 POINTS !!!
Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17.
Find the rental cost for each movie and video game.
48% as a common fraction
Answer:
12/25
Step-by-step explanation:
48% is the same as 48/100 = 12/25
What is the product of (3a 2)(4a2 – 2a 9)? 12a3 − 2a 18 12a3 6a 9 12a3 − 6a2 23a 18 12a3 2a2 23a 18
The product of the two equation in which one is binomial equation another quadratic equation, is 12a³+2a²+23a+18.
How to multiply two equations?To multiply the two equation, each term of the first equation is multiples from the second term.
The first equation given in the problem is,
[tex]3a+ 2[/tex]
The second equation given in the problem is,
[tex]4a^2 -2a+ 9[/tex]
The product of these two equations are,
[tex]p=(3a+2)\times (4a^2 -2a+ 9)\\p=12a^3-6a^2+27a+8a^2-4a+18\\p=12a^3+2a^2+23a+18[/tex]
Hence, the product of the two equation in which one is binomial equation another quadratic equation, is 12a³+2a²+23a+18.
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Answer: D: 12a^3 + 2a^2 + 23a + 18
Step-by-step explanation: got it right :)