Answer:
1 (2/3) or 1.66666667
Step-by-step explanation:
The slope of a line is found by using the equation :
y2 - y 1 / x2 - x1
So all we have to do is plug in our values given.
To find which belongs with which variable (such as x2 or y1), we do the following:
We know that the coordinates of a point are represented by (x, y). So we must assign a number to each points number.
(2, 8) will be x1 and y1.
(5, 13) will be x2 and y2
Plug in the values :
13 - 8 = 5
5 - 2 = 3
5 / 3 = 1 (2/3)
So, the slope of the line is 1.66666667 or 1 and (2/3)s
(sec²0 + tan²0)(cosec²0+cot²0) = 1sec²5 sin 0
Answer:
865
Step-by-step explanation:
if minus than answer
G E Which of the following segments is tangent to the circle ? 1) overline HL 2 ) overline DE 3 overline FG 4 ) overline AC
Answer:
DE
Step-by-step explanation:
........................
Tell if each is an arithmetic sequence. If it is, give the common difference.
5. 1, 2, 4, 8, 16,...
6. 60, 55, 50, 45, 40,....
7. 20, 21.5, 23, 24.5, 26,...
8. 30, 80, 130, 180,...
9. 3, 6, 12, 21, 33, 48,...
10. 5000, 1000, 200, 40,..
Answers:
5.) Yes it is, you add each one to itself to get the next number
6.) Yes, you subtract 5 from each number
7.) yes, you add 1.50 to each number
8.) Yes, you add 50 to each number
9.) No, they do not follow a pattern
10) Yes, you divide by 5 every time.
A person paid by the hour works 22 hours a week and makes $359. How much would they make if they work
37 hours?
Round your answer to 2 decimal places.
Answer:
$ 603.77
Step-by-step explanation:
Find unit rate of dollars per hour : 359/22
now multiply by hours : 359/22 * 37 = 603.77
Answer:
$603.77
Step-by-step explanation:
if they work 22 hours a week
and once a week they make $359
therefore divide to get the hourly rate
359/22 = 16.3181818182
they make 16.3181818182 per hour
then we have to multiply the hourly by the hours worked
16.3181818182 * 37 = 603.772727273
since this is in dollars ($) we round to the second decimal place (hundredths)
meaning we cut off the numbers after it
603.77║2727273
then, determine if the thousandths place is equal to or greater than five or less than five
since it is a 2 then the 7 stays the same
if it were a 5 or greater we would round up, making the 7 in the hundredth place turn into an 8.
therefore your answer is $603.77
hope this helps:)
Glass bottles are redeemed for 50 cents each. Plastic bottles are redeemed for 25 cents each and aluminum cans are .75 cents each. At the end of the event the collected a total of 35 glass bottles 50 plastic bottles and 22 aluminum cans. If there goal was $50 did they make enough money to save the condors
Answer:
no they did not make enough money
Step-by-step explanation:
Glass: 35 ×0.50 = 17.5
plastic: 50 × 0.25 = 12.5
aluminum: 22 × 0.75 = 16.5
17.5 + 12.5 + 16.5 = $46.5
Solve the inequality and express your answer in interval notation.
The correct answer is option B which is (-4-√11) and (-4+√11).
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequality is given as x² + 8x + 5 < 0 for we will draw a graph of the inequality and find the range of x which ranges from ( -7.31,- 0.68) So these points in the options will be equal to (-4-√11) and (-4+√11).
(-4 - √11) = -4 -3.31 =-7.31
(-4 + √11) = -4 +3.31 = -0.68
Therefore the correct answer is option B which is (-4-√11) and (-4+√11).
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What is the explicit formula for this sequence?
−7, −4, −1, 2, 5, …
The explicit formula for the sequence is 3n -10
What is an Arithmetic Sequence ?An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
[tex]\rm T_n = a +(n-1)d[/tex]
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
[tex]\rm T _n = -7 + (n-1) * 3[/tex]
[tex]\rm T _n[/tex] = -7 +3n -3
[tex]\rm T _n[/tex] = 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
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Which function is the result of vertically stretching f(x) = x ^ 2 - 7 by a factor of 2 and translating downward 5 units?
The function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)The given function f(x) is needed to be stretched vertically by a factor of 2, therefore, the function can be written as,
g(x) = 2(x² - 7) = 2x² - 14
Now, the function is needed to be translated by 5 units in the downward direction, therefore,
p(x) = g(x)-5 = 2x² - 14 -5
p(x) = 2x² - 19
Hence, the function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.
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Which of the following best defines the two quantities that are measured to find the call rate of a phone company? Group of answer choices The quantity of price measured in dollars depends on the quantity of time measured in minutes. The quantity of time measured in minutes depends on the quantity of price measured in dollars. The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute. The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.
Answer:
B
Step-by-step explanation:
What is the chance of landing on $500 and then Lose A Turn?
Answer:
B = an event that in the second turn it will land on Lose a Turn. Based from the given wheel, there are 24 equal parts with three $500 and one Lose a Turn. Thus, the probability of landing on $500 then lose a turn is 1921 .
this is possible IF thewheele consists of 24 parts
The chance of landing on $500 and then Lose A Turn will be 1/192. Then the correct option is C.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The diagram is given below.
The total number of the events will be
Total events = 24
Then the chance of landing on $500 will be
The number of favorable events will be
Favorable events = 3
⇒ 3/24
⇒ 1/8
Then the chance of the Lose A Turn will be
Favorable event = 1
⇒ 1/24
The chance of landing on $500 and then Lose A Turn will be
P = (1/24)(1/8)
P = 1/192
The chance of landing on $500 and then Lose A Turn will be 1/192.
Then the correct option is C.
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Please help!!!!
Write the equation of the circle in general form. Show all your work
Let's first gather all the information we have:
[tex]\rm\hookrightarrow Center: (-3, 2)\\\rm \hookrightarrow Radius: 5[/tex]
Let's put that into standard form [tex](x-h)^2+(y-k)^2 =r^2[/tex]
(h, k): center's coordinater: radius[tex]\rm \hookrightarrow Equation: (x+3)^2+(y-2)^2 = 5^2[/tex]
To put that equation into general form:
⇒ expand all the quadratics on one side and move the radius squared
to the same side as the quadratics
[tex](x+3)^2+(y-2)^2 = 25\\x^2+6x+9+y^2-4y+4=25\\x^2+y^2+6x-4y-12=0[/tex]
Answer: x² + y² + 6x - 4y - 12 = 0
Hope that helps!
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how many didgits are in 136.08
Answer:
5
Step-by-step explanation:
Count the digits.
how did the temperature change if at first it changed by 5 percent then it changed by 20
CAN SOMEONE HELP ILL GIVE 70 POINTS PLSSSSSSS
Answer:
26% increase
Step-by-step explanation:
Initial temperature= t
5% increase= t+ 5%= 1.05t
20% increase= 1.05t +20%= 1.05t*1.2= 1.26t
1.26 t= t + 26%
So temperature increased by 26%
What is the slope in f(x)=6x+7
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Slope = 6}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{f(x) = 6x + 7}[/tex]
Find: [tex]\textsf{The slope of the equation}[/tex]
Solution: Looking at the equation it is in standard form which is y = mx + b where m is the slope and b is the y-intercept. Looking at our expression we can see that m is equal to 6 which is our slope.
Therefore, the slope of our expression is equal to 6.
What is a name for the marked angle?
Answer:
angle CAD
Step-by-step explanation:
look at the 3 points that make up the angle
Solve
P =
Check
P-2w
2
= 1 for P.
Answer:
P= 2l + 2W
Step-by-step explanation:
(P-2W)/2= l
(P-2W)= 2l
P-2W= 2l
P= 2l + 2W
During its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after stefano dropped them. To the nearest meter, what is difference in elevation between stefano and the climber?.
Answer:
20 can be the answer of it
If f(x) = −3x 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true. x =
The value of x for the equation to the true is 2/3
Solution to equationGiven the following functions
f f(x) = −3x + 4 and;
g(x) = 2
If the functions are equal, then;
-3x + 4 = 2
Subtract 4 from both sides
-3x = 2 - 4
-3x = -2
x = 2/3
Hence the value of x for the equation to the true is 2/3
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a cylinder has a height of 6 meters and a diameter that is 6 times the measure of the height. using 3.14 or pi which of the following can be used to calculate the volume of the cylinder
The volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
What is a volume of a cylinder?The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.
Given that, the height of a cylinder=6 meters and the diameter of a cylinder=6×6=36 meters (A diameter that is 6 times the measure of the height)
Now, radius [tex](r)=\frac{d}{2} =18 meters[/tex]
[tex]\pi =3.14[/tex]
We know that, the volume of the cylinder[tex]=\pi r^{2} h[/tex]
[tex]=3.14\times 18^{2} \times 6 m^{3}[/tex]
[tex]=6,104.16 m^{3}[/tex]
Hence, the volume of the cylinder with height 6 meters and the radius 18 meters is [tex]6,104.16 m^{3}[/tex].
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IV. Solve the problem. A lineman divided a 1500 m of wire into 5 parts in the ratio 4: 5:6:7:8. How long is each piece of wire? IV . Solve the problem . A lineman divided a 1500 m of wire into 5 parts in the ratio 4 : 5 : 6 : 7 : 8 . How long is each piece of wire ?
A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,
4x + 5x + 6x + 7x + 8x = 1500m
30x = 1500 m
x = 50 m
Now, the length of the wire will be,
4x = 4(50) = 200m
5x = 5(50) = 250m
6x = 6(50) = 300m
7x = 7(50) = 350 m
8x = 8(50) = 400 m
Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.
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A hot air balloon is descending.
The height of the balloon n minutes after it starts to descend is hn
metres.
The height of the balloon (n +1) minutes after it starts to descend, hn + 1 metres, is given by
hn + 1 = K×hn
+ 20 where K is a constant.
The balloon starts to descend from a height of 1200 metres at 09 15
At 09 16 the height of the balloon is 1040 metres.
Work out the height of the balloon at 09 18
Answer:
The height of the balloon at 09 18 = 788.4 meters.
Step-by-step explanation:
As the hot air balloon is descending.
and the height of the balloon n minutes after it starts to descend is [tex]h_{n}[/tex]
meters.
The height of the balloon (n +1) minutes after it starts to descend, [tex]h_{n+1}[/tex]meters, is given by
[tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex] where K is a constant
Here the balloon starts to descend from a height of 1200 meters at 09 15
So [tex]h_{n}[/tex]=1200 meters
At 09 16 the height of the balloon is 1040 meters.
So [tex]h_{n+1}[/tex]= 1040 meters
the height of the balloon at 09 18 = [tex]h_{n+3}[/tex] meters
now [tex]h_{n+1}[/tex]= [tex]k *h_{n}+20\\[/tex]
k = [tex]\frac{h_{n+1 }-20 }{h_{n} }[/tex]
k= (1040 - 20) ÷ 1200
k = 0.85
Now [tex]h_{n+2}[/tex] = (0.85 × 1040) +20 =904 meters
Similarly [tex]h_{n+3}[/tex] = (0.85 × 904) +20 = 788.4 meters.
Therefore the height of the balloon at 09 18 = 788.4 meters.
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Given that the sum to infinity of a G.P. is 10. If the first term of the series is given as 5, determine the 3rd term.
Answer:
a₃ = 1.25
Step-by-step explanation:
the sum to infinity is calculated as
S ∞ = [tex]\frac{a_{1} }{1-r}[/tex]
a₁ is the first term and r the common ratio
given a₁ = 5 and S∞ = 10 , then
10 = [tex]\frac{5}{1-r}[/tex] ( multiply both sides by (1 - r)
10(1 - r) = 5
10 - 10r = 5 ( subtract 10 from both sides )
- 10r = - 5 ( divide both sides by - 10 )
r = 0.5
then
a₂ = a₁ × r = 5 × 0.5 = 2.5
a₃ = a₂ × r = 2.5 × 0.5 = 1.25
Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.
Lets solve the question,
Given dimensions are:
Length = 26 feet
Width = 14 feet
concrete walkway with width = c
After installing the concrete walkway dimensions of the walkway will be,
Length = 26 + 2c
Width = 14 + 2c
She wants to build a wooden deck around the pool with a concrete walkway of width = w
Thus the dimensions of the wooden deck around the pool will be,
Length = [tex]26 + 2c + 2w[/tex]
Width = [tex]14 + 2c + 2w[/tex]
Now the perimeter of the wooden deck will be,
Perimeter = 2(length + width)
[tex]= 2[(26 +2c + 2w) + 2(14 + 2c + 2w)] = 2(40 + 4c + 4w) = (80 + 8c + 8w)[/tex]
Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w
Perimeter = (80 + 8c + 8w)
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NEED HELP WITH THIS ASAPP PLEASE HELP RN!!
Answer:
See attached image
Step-by-step explanation:
Factorize:
a⁴-a³+2a²
[tex] {a}^{4} \: - \: {a}^{3} \: + \: {2a}^{2} [/tex]
Factor the expression with the common factor that is "a²".[tex] \boxed{ \bold{ {a}^{2} \: \times \: ( {a}^{2} \: - \: a \: + \: 2)}}[/tex]
MissSpanishAnswer:
a²(a²-a+2)
Step-by-step explanation:
Solution Given:
a⁴-a³+2a²
first taking common a²
we get
a²(a²-a+2) which is a required answer.
What is the smallest prime factor of 11^7 +7^5?
Answer:
3 is the smallest prime factor.
Step-by-step explanation:
ionk how to explain it but trust me its right.
James can hike f(n) miles after building up n days of stamina subject to a maximum of 10 days. Identify the domain that makes sense in this context.
The domain that makes sense in this context will be (0, 10].
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
James can hike f(n) miles after building up n days of stamina, subject to a maximum of 10 days.
Then the domain that makes sense in this context will be (0, 10].
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Select the correct answer.
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
О А.
B.
Total Rental Cost ($)
tal Cost ($)
500
400
300
200
100
50
40
30
0
10 20 30 40 50
Number of Guests
The cost of renting a community center for x guest is given as y = 10x + 100
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the y intercept.
Let y represent the cost of renting a community center for x guest. Hence:
y = 10x + 100
The cost of renting a community center for x guest is given as y = 10x + 100
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Alex defeated 10 gyms today! She started with four hundred and forty coins and now has five hundred and forty coins
Find the Percent of increase
The percentage increase is 22.72%
How to determine the percentage increase?The given parameters are:
Initial = 440 coins
Final = 540 coins
The percentage increase is calculated as:
%Increase = (Final - Initial)/Initial * 100%
So, we have:
%Increase = (540 - 440)/440 * 100%
Evaluate the difference
%Increase = 100/440 * 100%
Evaluate the quotient
%Increase = 0.2272 * 100%
Evaluate the product
%Increase = 22.72%
Hence, the percentage increase is 22.72%
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What is the sum of (4x² + 2x - 3) and (3x² + 6)?
A 7x² + 2x + 3
B. 7x² + 3
C. c. 7x² + 2x - 3
D. 7x² - 2x + 3
Answer:
A
Step-by-step explanation:
(4x² + 2x - 3) + (3x² + 6)
= 4x² + 3x² + 2x - 3 + 6
= 7x² + 2x + 3
