If angle 4 has a measurement of 4x and angle 3 has a measurement of 3x what does x equal?
Answers
Answer:
4x+3x=180 ==> x = 25.7142857
Step-by-step explanation:
Since angles 3 and 4 are supplementary, added together they'll = 180 degrees: 4x + 7x = 180.
Next, 7x = 180.
Dividing 180 by 7: x = 25.7142857
Related Questions
if the earthquake has stronger magnitude what does it mean
Answers
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.)
Answers
We are given the following function:
\(y=9sinx\)We are asked to approximate the area between the function and the x-axis using left endpoints approximation and 6 rectangles.
First, we graph the function:
Now, we divide the domain of the function into 6 equal intervals. The distance between each interval is given by:
\(s=\frac{b-a}{N}\)Where:
\(\begin{gathered} s=\text{ distance between intervals} \\ b=\text{ maximum point of the domain} \\ a=\text{ minimum point of the domain} \\ N=\text{ number of intervals} \end{gathered}\)In the given domain we have the following maximum and minimum points:
\(\begin{gathered} a=0 \\ b=\pi \end{gathered}\)Since we will use 6 rectangles we have:
\(N=6\)Substituting we get:
\(\begin{gathered} s=\frac{\pi-0}{6}=\frac{\pi}{6} \\ \end{gathered}\)Now, we construct the rectangles with the height of the rectangles being the value of the function at the left endpoint of the rectangle. Like this:
Now, we determine the heights of each of the triangles. We need to evaluate the left endpoint of each triangle in the function.
For R1 we have that the left endpoint is:
\(LEP_1=0\)Substituting in the function we get:
\(h_1=9sin0=0\)For R2 we have that the left endpoint is:
\(LEP_2=s=\frac{\pi}{6}\)Substituting in the function we get:
\(h_2=9sin(\frac{\pi}{6})=4.5\)For R3 we have:
\(LEP_3=2s=\frac{2\pi}{6}\)Substituting the value in the function we get:
\(h_3=9sin(\frac{2\pi}{6})=7.79\)For R4 we have:
\(LEP_4=\frac{3\pi}{6}\)Substituting the value in the function we get:
\(h_4=sin(\frac{3\pi}{6})=9\)Continuing like this until we get to R6 we get the following heights:
\(\begin{gathered} h_1=0 \\ h_2=4.5 \\ h_3=7.79 \\ h_4=9 \\ h_5=7.79 \\ h_6=4.5 \end{gathered}\)Now, the area is the sum of the areas of each of the rectangles. Since the area is the product of the length of the base by the height we get:
\(A=sh_1+sh_2+sh_3+sh_4+sh_5+sh_6\)Taking "s" as a common factor we get:
\(A=s(h_1+h_2+h_3+h_4+h_5+h_6)\)Substituting the values:
\(A=\frac{\pi}{6}(0+4.5+7.79+9+7.79+4.5)\)Adding the values we get:
\(A=\frac{\pi}{6}(33.58)=17.58\)Therefore, the area is approximately 17.58 using left endpoints.
A similar procedure is used for the right endpoints approximation having into account that the height of each rectangle is the value of the function at the right endpoint of the rectangle.
Imagine you have a job working at a pizza shop, and you make $400 in one week, but $100 Is withheld from your
paycheck in taxes and other withholdings. If you work for 4 weeks, what will revenue, expenses, and net profit be for
that period?
revenue -
expenses
net profit -
Answers
Answer:
revenue- $1600
Expenses- $400
Net profit- $1200
Step-by-step explanation:
Please awnser asap I will brainlist
Answers
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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16) -6x-2y - ス=-17 5x+y-6z = 19 -4x-6y-6z = -20
Answers
To solve the system of equations:
\(\begin{gathered} -6x-2y-z=-17 \\ 5x+y-6z=19 \\ -4x-6y-6z=-20 \end{gathered}\)We need to choose two sets of two equations and eliminate the same variable from those to get a 2 by 2 system that we can solve. If we choose the first and second equation and multiply the first one by -6 we get:
\(\begin{gathered} 36x+12y+6z=102 \\ 5x+y-6z=19 \end{gathered}\)Now we add the equation to get:
\(41x+13y=121\)Now we choose the second and third equation and change the sign of the second equations, then we get:
\(\begin{gathered} 5x+y-6z=19 \\ 4x+6y+6z=20 \end{gathered}\)Adding them we have:
\(9x+7y=39\)Now we have the system:
\(\begin{gathered} 41x+13y=121 \\ 9x+7y=39 \end{gathered}\)To solve it we mutiply the first equation by 7 and the second one by -13, then we have:
\(\begin{gathered} 287x+91y=847 \\ -117x-91y=-507 \end{gathered}\)Adding this equation we have:
\(\begin{gathered} 170x=340 \\ x=\frac{340}{170} \\ x=2 \end{gathered}\)Now that we have the value of x we plug it in the second equation for the 2 by 2 system to get y:
\(\begin{gathered} 9(2)+7y=39 \\ 18+7y=39 \\ 7y=39-18 \\ 7y=21 \\ y=\frac{21}{7} \\ y=3 \end{gathered}\)Finally to find z we plug the value of x and y in the first equation of the original 3 by 3 system, then:
\(\begin{gathered} -6(2)-2(3)-z=-17 \\ -12-6-z=-17 \\ z=17-12-6 \\ z=-1 \end{gathered}\)Therefore the solution of the system is:
\(\begin{gathered} x=2 \\ y=3 \\ z=-1 \end{gathered}\)In a class of 100 half the students are science majors and half are liberal art majors. A student who is a science major has a 0:9 probability of passing a given test whilst a student who is liberal art major has only a probability of 0:7. We pick 2 students at random without replacement and give them the test. What is the probability that both students pass the exam
Answers
Answer:
P(both students passed the exam) = 0.61948
Step-by-step explanation:
From the given information:
P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)
= P (both are science students) + P(both are art students) + P(one from each group)
where;
P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18
P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213
P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182
P(both students passed the exam) = 0.18 + 0.1213 + 0.3182
P(both students passed the exam) = 0.61948
How would you solve
"if f(x) / (x - 2) = x ^ 3 + 2x - 4 + 13/(x - 2) what is f(2)"
and
"if f(x) / (x + 3) = 3x ^ 2 - 4x + 2 what is f(-3)"
Answers
The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.
To solve the given equations, we need to find the value of the function f(x) for specific values of x.
"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"
To find f(2), we can substitute x = 2 into the equation and solve for f(2).
Plugging in x = 2, we get:
f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)
Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.
"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"
To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).
Plugging in x = -3, we get:
f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2
Simplifying, we have:
f(-3) / 0 = 3(9) + 12 + 2
f(-3) / 0 = 27 + 12 + 2
f(-3) / 0 = 41
Additional information or context is needed to solve for f(-3).
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If $6000 is invested at 4% compounded continuously, what is the amount after 8 years?
Answers
If $6000 is invested at 4% compounded continuously, The amount after 8 years will be $8,211.41.
Compound interestIt is defined as the interest on the deposit's principal amount as well as the interest earned on that amount the year prior.
Using the formula shown below, we can get the compound interest.
\(\rm A = P(1+\dfrac{r}{n})^{nt}\)
Where
A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
Given information,
P = $6000
R= 4%
t = 8 years
n=8
The amount is found as,
\(\rm A = P(1+\dfrac{r}{n})^{nt} \\\\ A = 6000(1+\dfrac{6}{1})^{8} \\\\ A= \$ \ 8,211.41\)
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What is the y-intercept of the line?
x 16 24 32
y 44 64 84
Answers
Answer:
The y-intercept of the line is 2
Step-by-step explanation:
You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax
But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.
(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?
Just extrapolate the table to the left, and you will find the y value where x = 0
x 0 8 16 24 32
y 2 22 44 64 84
So the y-intercept of the line is 2.
Extra:
The full equation of the line is:
y = 8/20x + 2
Answer:
(0,4)
Step-by-step explanation:
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
Answers
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Which value of x in the equation 18x + 5 - 3 = 65 makes the equation true
Answers
Answer:
the value of x that makes the equation true is x = 3.5.
Step-by-step explanation:
To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.
Starting with the equation:
18x + 5 - 3 = 65
First, combine like terms:
18x + 2 = 65
Next, isolate the term with x by subtracting 2 from both sides:
18x = 65 - 2
18x = 63
Finally, divide both sides of the equation by 18 to solve for x:
x = 63 / 18
x = 3.5
Therefore, the value of x that makes the equation true is x = 3.5.
The answer is:
x = 7/2 (3.5 in decimal form)Steps & work :
First, I focus only on the left side.
Combine like terms:
\(\sf{18x+5-3=65}\)
\(\sf{18x+2=65}\)
Subtract 2 from each side:
\(\sf{18x=63}\)
Now, divide each side by 18:
\(\sf{x=\dfrac{63}{18}\)
Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:
\(\sf{x=\dfrac{7}{2}}\)
\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)
Find the measure of the third side of the given triangle. P stands for perimeter and has the value 12ײ-7×+9. (Hint:the perimeter is the sum if the three sides of the triangle.) let S represent the measure of the third side.
please answer this if u know the right answer
Answers
Answer:
Sry I need points lol
Step-by-step explanation:
Select all the ratios that are equivalent to 8 : 6. *
4:3
6 to 8
16:12
10:8
7 to 5
Answers
Answer:
4:3 and 16:12
Step-by-step explanation:
can u pls help me with this question
Answers
Draw a diagram to show each of the following bearings Measure the bearing in each case. North to South
Answers
Answer: The bearing is below
N
|
|
|
S
At a Harare swimming club, there are 35 girls and 25 boys. . In a Bulawayo swimming club, there are 22 girls and 14 boys. Which swimming club has the greatest proportion of girls? Explain how you worked out your answer.
Answers
Answer:
Bulawayo
Step-by-step explanation:
Proportions can be compared numerous ways. Here, we find it convenient to look at the difference between girls and boys relative to the number of boys.
__
HarareWith 35 girls and 25 boys, there are 10 more girls than boys. 10 is less than half of the number of boys, so the ratio of girls to boys is less than 1.5.
BulawayoWith 35 girls and 15 boys, there are 8 more girls than boys. 8 is more than half of the number of boys, so the ratio of girls to boys is more than 1.5.
Comparision"More than 1.5" is greater than "less than 1.5", so Bulawayo has the greatest proportion of girls.
_____
Additional comment
As a fraction of the total, the proportions of girls are ...
Harare: 35/(35+25) = 35/60 = 7/12 = 21/36
Bulawayo: 22/(22+14) = 22/36 . . . . . . greater than 21/36.
Jill Janzen's gross weekly pay is $298. Her earnings to date for the year total $14,900. What amount is deducted from her pay each week for Social Security, which is taxed at 6.2%?
Answers
Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.
Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.
Find the length of the line joining A (3,5) and B (1,3)
Answers
Answer:
2√2 units.
Step-by-step explanation:
To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of points A and B into the formula, we have:
d = sqrt((1 - 3)^2 + (3 - 5)^2)
= sqrt((-2)^2 + (-2)^2)
= sqrt(4 + 4)
= sqrt(8)
= 2sqrt(2)
Therefore, the length of the line joining points A and B is 2√2 units.
Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window.
Answers
apenas la dibuje te la mando
what is the value of x in the equation 6x + 3 +4x= 1/2 (9+10x)
Answers
Answer:
x=0.3
Step-by-step explanation:
6x+3+4x=1/2(9+10x)
10x+3=4.5+5x
5x=1.5
x=0.3
Answer:
x=0.3
Step-by-step explanation:
6x+3+4x=1/2(9+10x)
10x+3=4.5+5x
subtract 5x and 3 from both sides
5x=1.5
x=0.3
What’s the mean of 46,57,66,63,49,52,61,68
Answers
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
the answer 57
Tom was measuring a piece of wood to build a shelf for his daughter. The shelf is 36 inches long. He tells his daughter, Hadlee that the shelf is 3 ft. long. Hadlee argue with her father and says, “No, the shelf is 36 inches long, not 3 ft.” Who is correct? Justify your thinking.
Answers
Rewrite 9 x 7 =675 using distributive property
Rewrite 6 x 4 x 5 = 120 using the commutative property
Hurry! Will reward brainliest to first person who answers!
Answers
Answer:
9(7)= 675
4·6·5= 120
Step-by-step explanation:
Hope this helps! :0
What is the point slope form of the line with slope -3/7 that passes through the point (5’8)?
Answers
Step-by-step explanation:
The point-slope form of a line is given by
\(y - y_1 = m(x - x_1)\)
where \((x_1, y_1)\) is the point on the line. So we can write the equation as
\(y - 8 = -\frac{3}{7}(x - 5)\)
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up?
Answers
E=egg farm
x=distantce between the Berto´s trains and the meeting point.
t=time where the trains meet up
⇒110 miles/h ⇒85miles/h
[---------------------------E----------------------]-------------------------------------X
[............12 miles.......][........34 miles.....][------------ x ----------------------]
distance between Berto´s train and Eduardo´s train=
=12 miles+34 miles=46 miles.
S=d/t ⇒d=S*t
S=seed
d=distance
T=time
Eduardo´s train;
46 miles+x=t*110 miles/h ⇒x=t*110 miles/h-46 miles (1)
Berto´s train;
x=t*85 miles/h (2)
With the equations (1) and (2) we suggest this system equations:
x=t* 110 miles/h-46 miles
x=t*85 miles/h
we solve this system equiations :
t*110 miles/h-46 miles=t*85 miles/h
110t miles/h-85t miles/h=46 miles
25 t miles/h=46 miles
t=46 miles/25 miles/h=1,84 hour (≈1 hour, 50 minutes, 24 seconds)
x=t*85 miles/h=156,4 miles
Solution: 1,84 hour
Answer:
1.84
Step-by-step explanation:
I did it on edge it was correct
3x + 8 < 4(x - 3)Solve the inequality and graph the solution set.
Answers
Step-by-step explanation:
3x+8<4x−12
Move all terms containing x
to the left side of the inequality.
Tap for more steps...
−x+8<−12
Move all terms not containing x
−x<−20
x>20
Interval Notation:(20,∞)
Please look at the pic and help!!
Answers
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
Subtract 8 - 3 3/8. Simplify the answer and write as a mixed number.
Answers
Answer:
not 100% sure but I think it's 27/8
Step-by-step explanation:
I give you all right to be mad if i'm wrong (:P)
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
Answers
192/3 = 64
Volume = 64m^3
2. Explain why 3:6 and 18:8 are not equivalent ratios..
Answers
Two ratios are equivalent when we can take one of the ratios and multiply or divide by a number in order to get the other.
In this case, we can multiply 3:6 by 6 and get:
\(\begin{gathered} 3\colon6 \\ 3\cdot6\colon6\cdot6 \\ 18\colon36 \end{gathered}\)Since 18:36 is different from 18:8, we can say that those ratios are not equivalent.