Answer:
-6
Step-by-step explanation:
x + 12 = 6
- 12 - 12
so
12-12=0
6-12=-6
put into equation
x + 0 = -6
x = -6
Find the slope of the line
Answer:
-1
Step-by-step explanation:
y = -1
pls help ASAP
find the value of z when x = 216
Answer:
z = 3 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
z = [tex]\frac{k}{x^{1/3} }[/tex]
5 = [tex]\frac{k}{4}[/tex]
k= 20
~~~~~~~~~~~~~~~
z = [tex]\frac{20}{6}[/tex]
z = [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
Velocity, distance and time:
This question is solved using the following formula:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
On the first day of travel, a driver was going at a speed of 40 mph.
Time [tex]t_1[/tex], distance of [tex]d_1[/tex], v = 40. So
[tex]v = \frac{d}{t}[/tex]
[tex]40 = \frac{d_1}{t_1}[/tex]
The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles
On the second day, the velocity is [tex]v = 60[/tex].
On the first day, he drove 2 more hours, which means that for the second day, the time is: [tex]t_1 - 2[/tex]
On the first day, he traveled 20 more miles, which means that for the second day, the distance is: [tex]d_1 - 20[/tex]
Thus
[tex]v = \frac{d}{t}[/tex]
[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]
System of equations:
Now, from the two equations, a system of equations can be built. So
[tex]40 = \frac{d_1}{t_1}[/tex]
[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]
Find the total distance traveled in the two days:
We solve the system of equation for [tex]d_1[/tex], which gets the distance on the first day. The distance on the second day is [tex]d_2 = d_1 - 20[/tex], and the total distance is:
[tex]T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20[/tex]
From the first equation:
[tex]d_1 = 40t_1[/tex]
[tex]t_1 = \frac{d_1}{40}[/tex]
Replacing in the second equation:
[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]
[tex]d_1 - 20 = 60t_1 - 120[/tex]
[tex]d_1 - 20 = 60\frac{d_1}{40} - 120[/tex]
[tex]d_1 = \frac{3d_1}{2} - 100[/tex]
[tex]d_1 - \frac{3d_1}{2} = -100[/tex]
[tex]-\frac{d_1}{2} = -100[/tex]
[tex]\frac{d_1}{2} = 100[/tex]
[tex]d_1 = 200[/tex]
Thus, the total distance is:
[tex]T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380[/tex]
The total distance traveled in two days was of 380 miles.
For the relation between velocity, distance and time, you can take a look here: https://brainly.com/question/14307500
Answer:
Total traveled distance is : 380 miles
Step-by-step explanation:
Let´s call variables of the first day of travel as:
v₁ = 40 mph
Time of travel unknown but 2 hours more than the second day
Traveled distance ( unknown) but 20 miles more than the second day
And for the second day
v₂ = 60 mph
Time of travel t
Traveled distance s (unknown)
With that information, we can make a model of a two equations system as follows:
We know that s = v*t ( where s is the distance traveled, v the speed, and t the traveled time) then
First day
Total distance traveled s + 20 is equal to:
s + 20 = 40 * ( t + 2 )
The second day:
s = 60*t
The system is:
s + 20 = 40 * ( t + 2 )
s = 60*t
By substitution
60*t + 20 = 40 * ( t + 2 )
60*t + 20 = 40*t + 80
60*t - 40*t = 80 - 20
20*t = 60
t = 3 hours
Now we can calculate the total distance traveled according to:
First day: s₁ = 40 (m/h)* (t + 2) (h) = 40*5 miles s₁ = 200 miles
Second day:
s = 60*t = 60 (m/h)*3 (h) = 180 miles
Total distance is : 380 miles
If A=(0,0) and B=(8,2), what is the length of AB
Answer:
[tex]\boxed{\sf Distance_{AB}= 8.24 \ units }[/tex]
Step-by-step explanation:
Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,
Distance Formula:-
[tex]\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Therefore on substituting the respective values ,we can find the Distance as ,
[tex]\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2} [/tex]
Simplify the brackets ,
[tex]\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}[/tex]
Square the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance =\sqrt{ 64 + 4} [/tex]
Add the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance = \sqrt{68} [/tex]
Find the value of squareroot,
[tex]\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}[/tex]
Hence the distance between the two points is 8.24 units .
Johnny can build 3 1/2 lego planes in 60 minutes. How many can he build in 40 minutes? Simplify answer completely
Answer:
2 [tex]\frac{1}{3}[/tex] planes
Step-by-step explanation:
Set up a ratio.
planes over time.
Because the time is given in minutes. No conversion necessary.
[tex]\frac{planes}{time}[/tex] = [tex]\frac{3.5}{60}[/tex] = [tex]\frac{x}{40}[/tex]
Cross Multiply
60 (x) = 3.5 (40)
60x = 140 Divide by 60, both sides.
x = 2.333 repeating also know as 2 [tex]\frac{1}{3}[/tex].
PLEASE HELP ASAP WORTH ANOTHER 100 please get it right
Answer:
Step-by-step explanation:
So triangles they are similar to that [tex]\displaystyle\ \dfrac{BE}{GB} =\frac{BP}{CB} => \frac{BE}{400} =\frac{200}{300} => \boxed{BE=\frac{800}{3}} \\\\\\ \frac{PE}{CG} =\frac{BP}{CB}=>\frac{PE}{350} =\frac{200}{300} => \boxed{PE=\frac{700}{3} }[/tex]
If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc
a man eats one cake a day for a year. How many total cakes does he consume ??
Step-by-step explanation:
If it is a leap year =366
and if it is not a leap year=365
Answer:
365
Step-by-step explanation:
Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]
= [tex]\frac{88}{21}[/tex] x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
A laboratory tested n= 130 chicken eggs and found that the mean amount of cholesterol was 88 milligrams with -9 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs. Round your answer to the nearest tenth.
Answer:
The margin of error is of 1.5 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Standard deviation of 9
This means that [tex]\sigma = 9[/tex]
Sample of 130
This means that [tex]n = 130[/tex]
Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{9}{\sqrt{130}}[/tex]
[tex]M = 1.5[/tex]
The margin of error is of 1.5 milligrams.
determine whether the following polygons are similar. if yes, type 'yes' in the similar box and type in the similarity statement and scale factor. if no, type 'none'
Similar: yes
Similarity Statement: AB ~ TQ , BC ~ QR
Scale Factor: 4/3
how many marbles do you need to balance the scale? 6oz 2oz
HELP 10 points!!
Answer:
you need 4 oz. to get the even 6 oz.
Somebody help me with question 4
Answer:
EH = HG
EH = HG
2x + 24 = 5x - 30
x = 18
EH = 60
HG = 60
Step-by-step explanation:
what is question 4 ?
you mean the 4th point in this question, or is the whole thing question 4 ?
in any case, what they want to see here is
EH = HG (because FH is the median of the triangle, so it cuts the baseline in half).
therefore we get
2x + 24 = 5x - 30
54 = 3x
x = 18
EH = 2×18 + 24 = 36 + 24 = 60
HG = 5×18 - 30 = 90 - 30 = 60
as expected - they are equal.
what is 114 estimated with 150?
Answer:
This gives us a pair of simple equations:
100percent =150(1). xpercent =114(2).
therefore, 114 is 76percent of 150
Step-by-step explanat:
20-(+20)-(-65)-(-12)
Answer:
77
Step-by-step explanation:
20-(+20)-(-65)-(-12)
-(-65)-(-12)
+65-(-12)
+65+12
77
Q) 20-(+20)-(-65)-(-12) = ?
→ 20-(+20)-(-65)-(-12)
→ 20 - 20 + 65 + 12
→ {20 - 20} + {65 + 12}
→ 0 + 77
→ 77 is required solution.
Please help pleaseeee
Answer:
32/33
Step-by-step explanation:
We first need to find out how many square yards are vacuumed every one minute.
Let's set up a chart:
yards minutes
8/11 --> 3/4
y --> 1
Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.
1. Multiply 1 by 8/11 to get... 8/11
2. Multiply 3/4 by y to get... 3/4y
3. Equate them: 8/11 = 3/4y
4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable
5. This gives us 32/33 = y
4u + 10 =17
u = ?
help
Answer:
The answer is "1.75".
Step-by-step explanation:
Given:
[tex]\to 4u + 10 =17[/tex]
Find:
[tex]\to u = ?[/tex]
Solution:
[tex]\to 4u + 10 =17\\\\\to 4u = 17-10\\\\\to 4u = 7\\\\\to u = \frac{7}{4}\\\\\to u=1.75[/tex]
The graph of a logarithmic function IS shown below.
What is the domain of the function?
A.x<0
B.x>0
C.x<1
D. All real numbers
Answer:
Step-by-step explanation:
The domain includes all the "allowed" x values. Looking at the graph, it appears to start a tiny tiny bit to the right of 0, so it doesn't include 0. It also does not go to the left of 0. Therefore, the domain of the graph is x > 0
9 Alicia has a bag that contains 12 apples.
Estimate the mass of the bag of apples.
Give your answer in kilograms.
Answer:
The key here is estimate, you don't need exact values or more information for this problem. First estimate the mass of an average apple. A quick online search reveals that the mass of an average apple is approximately 100 grams. Multiply by 12 for the bag and convert to whatever units you're asked to express your answer in.
Step-by-step explanation:
2) How much tax should be paid by a person having annual income RS 240.000?
Answer:
What is the Existing / Old tax regime?
Income Range Tax rate Tax to be paid
Up to Rs.2,50,000 0 No tax
Between Rs 2.5 lakhs and Rs 5 lakhs 5% 5% of your taxable income
Between Rs 5 lakhs and Rs 10 lakhs 20% Rs 12,500+ 20% of income above Rs 5 lakhs
Above 10 lakhs 30% Rs 1,12,500+ 30% of income above Rs 10 lakhs
If BD bisects angle ABC, m angle DBC = 79° , and m angle ABC = (9x - 4)° , find the value of x.
Answer:
x = 18
Step-by-step explanation:
Since BD bisects ∠ ABC , then
∠ ABD = ∠ DBC = 79°
∠ ABC = ∠ ABD + ∠ DBC , that is
9x - 4 = 79 + 79 = 158 ( add 4 to both sides )
9x = 162 ( divide both sides by 9 )
x = 18
Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin of error smaller.
Step-by-step explanation:
First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.
It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.
Need help on this!!! 6 points!!!
Answer:
it appears to be FALSE....
f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x
h(32-5x) = 6(32-6x)
= 192 - 36x
Step-by-step explanation:
The melting point of mercury is about 1/4 of the melting point of krypton. The melting point of mercury is -39c. Write and solve an equation to find the melting point of krypton.
Answer:
-156c
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] of krypton melting point is mercury melting point
[tex]\frac{1}{4}[/tex](k) = -39
k = -39(4)
k = -156c
Plz help!! I need it ASAP
Answer:
you save $500 for 7 years at 6% compounding continuously
what is the final value...
A = $500 [tex]e^{.06(7)}[/tex]
Step-by-step explanation:
Solve for x.
10x – 79 = 2x + 49
x = [?]
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Step 1: Add 79 to both sides
[tex]10x - 79 + 79 = 2x + 49 + 79[/tex]
[tex]10x = 2x + 128[/tex]
Step 2: Subtract 2x from both sides
[tex]10x - 2x = 2x - 2x + 128[/tex]
[tex]8x = 128[/tex]
Step 3: Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{128}{8}[/tex]
[tex]x = 16[/tex]
Answer: [tex]x = 16[/tex]
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Step-by-step explanation:
x=16
If A= { 2, 4, 6, 8, 12 } and B={ 2, 4, 8 }, then find the set notation to represent { 6, 12 }.
Answer:
A{6,12}
Step-by-step explanation:
Maybe I'm not sure about that.
Choose the model that represents the same function as the values in the table.
x r(x)
-4 -4
2 8
5 14
7 18
X -> times 2 -> plus 4 -> r(x)
Step-by-step explanation:
-4=x -4=r(x) -4 x 2=-8 -8+4=-4
Answer:
If on imagine math then its on the picture, have a nice day!
Step-by-step explanation:
please help me (geometry)
Answer:
x = 7
Step-by-step explanation:
When two parallel lines are cut by a transversal, the corresponding angles are equal.
8x +2 = 7x + 9
Subtract 2 from both sides
8x = 7x + 9 - 2
8x = 7x + 7
Subtract 7x from both sides
8x - 7x = 7
x = 7
Answer:
x=7
Step-by-step explanation:
The 2 given angles are vertical to each other, so that means they are equal to each other.
To solve, set up an equation:
[tex]7x+9=8x+2[/tex]
Solve by isolating the variable. [Subtract and divide]
[tex]7x=8x-7[/tex]
[tex]-x=-7[/tex]
Multiply both sides by -1 to get rid of the negative sign.
[tex]x=7[/tex]
I hope this helps!
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Answer:
3/16
Step-by-step explanation:
-3*-1=3, 4*4=16
Answer:
3/16
Step-by-step explanation:
Multiply both the numerators (top number) and denominators (bottom numbers) together
-3 x -1 = 3....bc negative times negative always equals positive
4 x 4 = 16
