Answer:
20.53 minutes
Step-by-step explanation:
Speed = Distance/Time = 30/7
Time = Distance / Speed
= 5280/30/7
= 1232 seconds / 60 = 20.53 minutes
Answered by Gauthmath
What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.
The solution is
Answer:
(-1.25, 0) or (-5/4, 0)
Step-by-step explanation:
The x-intercept is when y = 0, so let's plug 0 into the equation:
3(0) - 8x = 10
Now we use basic algebra to solve for x:
0 - 8x = 10
-8x = 10
x = -5/4 or -1.25
So the answer is (-1.25, 0) or (-5/4, 0).
Hope this helps (●'◡'●)
reciprocal of. 0×7/11
Answer:
it doesn't exist
Step-by-step explanation:
the expression 0×7/11 is equivalent to 0. 1/0 isn't possible, so its reciprocal doesn't exist.
A 90 ° angle is divided into 2 angles.
Find the size of the angles.
5x+10 and 6x-41
Answer:
So required ans is 5*11+10=65 6x-41=25
Step-by-step explanation:
You can do as,
5x+10+6x-41=90
11x-31=90
11x=31+90
11x=121
x=121/11
x=11
he manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____. a. significantly less than 3 b. significantly greater than 3.18 c. significantly greater than 3 d. not significantly greater than 3
A random sample of 13 teenagers were surveyed for a hypothesis test about the mean weekly amount spent on convenience goods. Researchers conduct a one-mean hypothesis test, at the 1% significance level, to test whether the average spent per week on convenience goods is greater than 50 dollars.
Answer:
Please find the complete question and the graph in the attached file.
Step-by-step explanation:
On the basis of the data,
The level of importance is [tex]\alpha = 0.01[/tex]
Freedom levels [tex]= n -1 = 13 -1 = 12[/tex]
For the right-tailed test, the critical value is [tex]t_c = 2.681[/tex]
(Partially t-table permitted [tex]\alpha = 0.01 \ and\ df =12[/tex])
what is the value of x?
Explanation:
The adjacent angle to the right of the (6x+1) angle is 180-(6x+1). Simply subtract it from 180 to get its supplementary counterpart.
The three inner angles of any triangle must add to 180, so,
(inner angle 1) + (inner angle 2) + (inner angle 3) = 180
[ 180-(6x+1) ] + (79) + (2x+10) = 180
180 - 6x - 1 + 79 + 2x + 10 = 180
(-6x+2x) + (180-1+79+10) = 180
-4x+268 = 180
-4x = 180 - 268
-4x = -88
x = -88/(-4)
x = 22
Answer:
x = 22
Step-by-step explanation:
2x + 10 + 79 = 6x + 1
Think alternate interior angles
2x + 10 + 79 makes up one of the alternate interior angles
6x + 1 is the other.
Combine like terms.
Subtract 2x both sides.
Subtract 1 from both sides.
Divide by 4 both sides.
A rectangular swimming pool. Measures 16m by 20m. A path of uniform width is built around the pool. If the area of path is 100m^2, find the width of the path, giving your answer correct to 2 decimal places.
Answer:
not sure but good luck
Step-by-step explanation:
:))))
25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91
Answer:
$43,799.50
Step-by-step explanation:
USing the formula:
A = P(1+r)ⁿ
n is the time = 5
1 + r = 1.04
P = 36,000
Substitute the values into the formula
A = 36000(1.04)⁵
A = 36,000(1.2166529024)
A = 43,799.50
Hence the value in the fifth year will e $43,799.50
Find x in the right triangle (not drawn to scale):
Which of the following statements does not prove that ABCD is a parallelogram.
Given: A(-4, 7), B(3,0), C(2,-5) and D(-5, 2).
Answer:
answer A
Step-by-step explanation:
A=(-4,7)
C=(2,-5)
midpoint = U=((-4+2)/2, (7+(-5))/2)=(-1,1))
B=(3,0)
D=(-5,2)
midpoint = V=((3+(-5))/2,(0+2)/2)=( -1,1)
Diagonals have the same middle, the quadrilater is a parallogram.
does anyone know this?
Answer:
The volume is approximately 50 m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The radius is 1/2 of the diameter r = 8/2 = 4
V = pi ( 4)^2 (1)
V = 16 pi
Letting pi be approximated by 3.14
V = 3.14 * 16
V = 50.24
The volume is approximately 50 m^3
Can someone help me with this math homework please!
Answer:
It's 2, 1, and y = 2x + 1.
Step-by-step explanation:
You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.
Answer:
1. 2
2. 1
3. y = 2x+1
Step-by-step explanation:
1. [tex]\frac{rise}{run}[/tex]
2. Where does the line cross the y-axis?
3. y = mx+b
m= slope
b = y-intercept
The graph of $y=ax^2+bx+c$ passes through points $(0,5)$, $(1,10)$, and $(2,19)$. Find $a+b+c$.
Answer:
[tex]a+b+c=10[/tex]
Step-by-step explanation:
We are given that the graph of the equation:
[tex]y=ax^2+bx+c[/tex]
Passes through the three points (0, 5), (1, 10), and (2, 19).
And we want to find the value of (a + b + c).
First, since the graph passes through (0, 5), its y-intercept or c is 5. Hence:
[tex]y=ax^2+bx+5[/tex]
Next, since the graph passes through (1, 10), when x = 1, y = 10. Substitute:
[tex](10)=a(1)^2+b(1)+5[/tex]
Simplify:
[tex]5=a+b[/tex]
The point (2, 19) tells us that when x = 2, y = 19. Substitute:
[tex](19)=a(2)^2+b(2)+5[/tex]
Simplify:
[tex]14=4a+2b[/tex]
This yields a system of equations:
[tex]\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}[/tex]
Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:
[tex]-10=-2a-2b[/tex]
Add the two equations together:
[tex](-10)+(14)=(-2a+4a)+(-2b+2b)[/tex]
Combine like terms:
[tex]4 = 2a[/tex]
Hence:
[tex]a=2[/tex]
Using the first equation:
[tex]5=(2)+b\Rightarrow b=3[/tex]
Therefore, our equation is:
[tex]y=2x^2+3x+5[/tex]
Thus, the value of (a + b + c) will be:
[tex]a+b+c = (2) + (3) + (5) = 10[/tex]
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)
8c²-4c²+7cd + 4cd + 8d - 3d
= 4c² + 11cd + 5d
PLEASE I NEED HELP!!
Find the value of x
Answer:
y=4sqrt 3 X=8sqr 3
Step-by-step explanation:
4/y=y/12 y^2=48 y= sqrt 48= sqrt 4 * sqrt 3 * sqrt 4 = y = 4sqrt 3 then X
(4sqrt3)^2+144=x^2
48+144=192
sqrt 192
8sqrt3
plz help me to do this
TRIANGLES please help!! :)
Answer:
A
Step-by-step explanation:
First, the list of congruence theorems are:
SSS
SAS
ASA
AAS
HL
SSA is not on the list, so we can cross that out
Next, ASA implies that two angles are congruent, but we only know that one pair of angles (the right angles) are congruent, so we can cross that out
After that, the angle is not connecting the congruent sides, so D is not an option
Finally, we know that the longest sides (AD / AC) are congruent to each other, one other pair of legs/sides are congruent, and the triangles are both right triangles. Therefore, we can apply HL here
Which rate is equivalent to $800 per 40 hours?
Mr. Ramadhan wants to save money to buy a house so he puts 21% of his earnings into his savings account. How much money does he save for his house?
Answer:
79%
Step-by-step explanation:
He has 100% to start off. If he puts 21% into savings you subtract that from the starting amount. 100 - 21 = 79. Therefore the answer is 79%.
Answer
well how much is his earnings?
Step-by-step explanation:
Assume that the radius of the hydrogen nucleus is 1.4 · 10-15 meters. How much larger than the nucleus is the entire hydrogen atom? (Calculate the atomic radius for n = 1. Round answer to nearest tenth.)
________times larger than the nucleus.
(A). 3.8 x 10⁴
(B). 3.8 x 10¹⁴
(C). 3.8 x 10^-5
(15 points reward)
Answer:
A
Step-by-step explanation:
I did not look up the actual numbers, but it can only be A.
of course, the whole aim is larger than the nucleus, which is why C is impossible with its negative exponent (which would make the whole aim smaller than the nucleus).
and B. can't be true, because it is so big 10¹⁴ times bigger than a 10-¹⁵ atom ? this would make the whole atom the size of about 10-¹ meters. so, 10 cm. a single hydrogen atom would be bigger than a tennis ball. which it isn't.
so, that only leaves A.
Use the properties of logarithms to prove log, 1000 = log2 10.
Given:
Consider the equation is:
[tex]\log_81000=\log_210[/tex]
To prove:
[tex]\log_81000=\log_210[/tex] by using the properties of logarithms.
Solution:
We have,
[tex]\log_81000=\log_210[/tex]
Taking left hand side (LHS), we get
[tex]LHS=\log_81000[/tex]
[tex]LHS=\dfrac{\log 1000}{\log 8}[/tex] [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]
[tex]LHS=\dfrac{\log (10)^3}{\log 2^3}[/tex]
[tex]LHS=\dfrac{3\log 10}{3\log 2}[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]LHS=\dfrac{\log 10}{\log 2}[/tex]
[tex]LHS=\log_210[/tex] [tex]\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right][/tex]
[tex]LHS=RHS[/tex]
Hence proved.
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 18, PL = 24, and WZ = 96, find the value of c.
A. 4
B.96
C.42
D.72
somebody can help me
Answer: c = 72
Step-by-step explanation:
You didn't tell us which segment has a length of c, but I'm assuming you meant WX because it corresponds to PA. If two figures are similar, we know that their side length are in proportion. With this, we can set up our proportion[tex]\frac{18}{24} =\frac{c}{96}[/tex] where c is the length of WX. By cross multiplying and dividing, you get 72 for the value of c.
5 – 2x = 3 what is x?
Answer: x=1
Step-by-step explanation:
To solve for x, we want to isoate the variable.
5-2x=3 [subtract both sides by 5]
-2x=-2 [divide both sides by -2]
x=1
Now, we know that x=1.
Answer:
X = 1
Step-by-step explanation:
Add 2x to both sides of the equation
5-2x+2x=3+2x
5+0=3+2x
Subtract 3 from both sides of the equation
5-3=3-3+2x
2=0+2x
2x=2
x=2/2
X = 1
Find the value of a.
A. 16
B. 38.5
C. 15
D. 10
Answer:
Step-by-step explanation:
divide 60/31 55/46 the answer you multiply
Abel bought a mini hi-fi set for S600.
He sold it to Bob at a loss of 20%.
Bob sold it to Charles and made a profit of 5%. How much did Charles pay for it?
Answer:
$504
$600* .8 = $480
$480 * 1.05 = $504
Step-by-step explanation:
Answer:
Step-by-step explanation:
Abel:
Cost price = $ 600
Loss = 20%
Selling price = [tex]\frac{100-loss}{100}*Cost \ price[/tex]
[tex]= \frac{(100-20)}{100}*600\\\\=\frac{80}{100}*600[/tex]
= 80 * 6 = $ 480
Cost price for Bob = Selling price of Abel = $ 480
Bob's cost Price = $480
Selling price = [tex]\frac{100+Profit}{100}*CP\\\\[/tex]
[tex]= \frac{100+5}{100}*480\\=\frac{105}{100}*480[/tex]
= $ 504
Amount paid by Charles =$ 504
What is the slope-intercept form is?
this is a geometry question, i need something quickly :)
Answer:
hope it helps mark me brainlieast!
Step-by-step explanation:
For triangle ABC with sides a,b,c labeled in the usual way,
c2=a2+b2−2abcosC
We can easily solve for angle C .
2abcosC=a2+b2−c2
cosC=a2+b2−c22ab
C=arccosa2+b2−c22ab
That’s the formula for getting the angle of a triangle from its sides.
The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.
−1≤cosC≤1
0∘≤C≤180∘
We needed to include the degenerate triangle angles, 0∘ and 180∘, among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.
The Law of Cosines, together with sin2θ+cos2θ=1 , is all we need to derive most of trigonometry. C=90∘ gives the Pythagorean Theorem; C=0 and C=180∘ give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from cosC= … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)
The Triangle Angle Sum Theorem, A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool
2sinAsinBcosC=sin2A+sin2B−sin2C
Showing that’s the same as A+B+C=180∘ is a challenge I’ll leave for you.
In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,
4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2
true precisely when ±A±B±C=180∘k , integer k, for some k and combination of signs.
This is written in RT in an inverted notation, for triangle abc with vertices little a,b,c which we conflate with spreads a,b,c,
(a+b−c)2=4ab(1−c)
Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to 180∘ or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.
Can someone help me with this math homework please!
Answer:
10
Step-by-step explanation:
f ( 1 ) = 18
First term ( a ) = 18
f ( n + 1 ) = f ( n ) - 2
When, n = 1
f ( 1 + 1 ) = f ( 1 ) - 2
f ( 2 ) = 18 - 2
f ( 2 ) = 16
f ( 2 ) - f ( 1 )
= 16 - 18
= - 2
Common difference ( d ) = - 2
f ( 5 )
= a + 4d
= 18 + 4 ( - 2 )
= 18 - 8
= 10
The graph of a function f(x) is shown below:
What is the domain of f(x)? (1 point)
integers from - 1< x <2
integers from -3 < y < 3
integers from -3 < y <3
integers from -1 < x < 2
Answer:
It's all integers x such that -1<=x<=2.
Step-by-step explanation:
The domain is the x values for which the relation exists.
Lets read from left to right.
First point I see from left exists at x=-1, next one at x=0, then x=1, and finally at x=2.
So it's all integers x such that -1<=x<=2.
*<= means less than or equal to
llahkdaclicka. ima answer this
Answer:
?
Step-by-step explanation: