Answer:
[tex]\sf m = \dfrac{2}{5}[/tex]
Explanation:
A system of equations will have no solution when:
1st equation = y = ax + b2nd equation = y = ax + cMeaning they shall have the same slope but different constant.
Here given:[tex]\sf y = \dfrac{2}{5} x - 7[/tex] Here slope: 2/5 and constant: -7
Another equation:
[tex]\sf y = \dfrac{2}{5} x + 3[/tex] Has the same slope but different constant.
Answer:
m = 2/5
Step-by-step explanation:
Understanding :
A system of equations have no solutions when they do not cross/intersect each other at any point.
This is only possible when the slopes of the lines are equal.
Solution :
Hence,
m = 2/5Bob is throwing a party. He has 22 pints of soda. At the end of the party, there are 8
pints of soda.
How many cups of soda were drank during the party?
Answer:
14
Step-by-step explanation:
If Bob has 22 pints, and one glass is one pint, the 22-8 = 14
Answer:
14
Step-by-step explanation:
you would subtract 8 pints of soda left from the total pints which is 22 to get 14 pints used during the party
22-8=14
(Look at image) Need help for question 6. Tried looking into it but still failed. I couldn’t understand what the question was asking me so I need some help asap by tomorrow.
Also do not mind the other answers. Those were already answered by epic people (thanks again)
Answer:
For 4 its 6 due to having 0 INCHES for 6 days (The answer to number 6 which is what your looking for is 1 12/8 simplify that and It'd be 2 1/2)
Step-by-step explanation:
This is because adding up the total rain falls will get you to 2 1/2
For Which distributions is the median the best measure of center?
Select each correct answer
Answer: 6, 6, 9 and 25
Step-by-step explanation:
bbringingbbringingout the data's from the graph and arrangementsarrangingarrangingarrangementsarrangingarranging them serially that's from smallest to biggest biggest, then selecting the middle number if the number of entire entries is an odd number but if it's an even number you take the average of the two middle number
what is the volume of a cylinder with a radius of 5
and a height of 12
Answer:
300pi
Step-by-step explanation:
the formula for volume of a cylinder is pi3^2h
So pi * (25) * 12
300 pi.
If you forget the formula, remember circle area is pir^2 and multiplying that by the height will raise the circle's area, giving us volume.
Part 2: Approximately what value of will give her a box with the greatest volume? Explain your reasoning.
( only need part 2 already have part one thx)
The value of x that gives the box the greatest volume is approximately 2.08
How to determine the value that gives the greatest volume?The equation of the volume of the box is given as:
V(x) = x(12 - 2x)(13 - 2x)
Expand
V(x) = (12x - 2x^2)(13 - 2x)
V(x) = 156x - 24x^2 - 26x^2 + 4x^3
V(x) = 156x - 50x^2 + 4x^3
Differentiate the function
V'(x) = 156 - 100x + 12x^2
Set to 0
156 - 100x + 12x^2 = 0
Rewrite as:
12x^2 - 100x + 156 =0
Divide through by 4
3x^2 - 25x + 39 =0
Using a graphing calculator, the values of x are:
x = 2.08 and x = 6.26
Substitute these values of x in V(x)
V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16
V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56
The volume cannot be negative.
So, we have:
V(2.08) = 144.16
Hence, the value of x that gives the box the greatest volume is approximately 2.08
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find (a) the arc length and (b) the area of a sector.
Answer:
a) 23.56 ft (2 dp)
b) 58.90 ft² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=r \theta[/tex]
[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]
Calculation
Given:
[tex]\theta=\dfrac{3 \pi}{2}[/tex] r = 5 ft[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}[/tex]
(2/3 - 3/4 × 1/8) ÷ (2/3 - 3/4 + 5/8)
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
Solution:First, solve the brackets.
First bracket:
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )[/tex]
[tex] = \frac{55}{96} [/tex]
Second bracket:
[tex]( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
[tex] = \frac{13}{24} [/tex]
Then divide.
[tex] \frac{55}{96} \div \frac{13}{24} [/tex]
[tex] = \frac{55}{52} \: or \: 1\frac{3}{52} [/tex]
answer:
as improper fraction= 55/52
as mixed fraction= 1 3/52
hope this helps
evaluate the equation of 3 x 10^-2
Answer:
0.03
Step-by-step explanation:
the first thing you would do in this equation is to deal with the exponent
a negative exponent puts the number under 1
1/10^2
10^2 is also 100
1/100
3 * 1/100 is 3/100 so that is your answer
3/100 is also 0.03
Answer: [tex]\frac{3}{100}[/tex] or 0.03
Step-by-step explanation:
3×[tex]10^{-2}[/tex]
3 × [tex]\frac{1}{100}[/tex]
⇒ [tex]\frac{3}{100}[/tex]
⇒ 0.03
According to a survey, 15% of city workers take the bus to work. donatella randomly surveys 10 workers. what is the probability that exactly 6 workers take the bus to work? round the answer to the nearest thousandth.
The probability that exactly 6 workers take the bus to work is 0.001
How to determine the probability?The given parameters are:
Sample size, n = 10Required sample = exactly 6Probability of success, p = 15%The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]
So, we have:
[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]
Evaluate the expression
P(6) = 0.001
Hence, the probability that exactly 6 workers take the bus to work is 0.001
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Find the ratio of the trig function indicated.
Answer:
[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]
Step-by-step explanation:
We have a right angled triangle given.
At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.
Now, in the given triangle, from the view of ∠θ,
Opposite side of the triangle = 8 Hypotenuse = 10Then,
[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Help me solve this problem please
the mean numbers of point scored is greater than 12 points(C.)
Rewrite the radical expression as an exponential expression, and then simplify.
StartRoot 121 EndRoot = one-half (121) = 60.5
StartRoot 121 EndRoot = 121 squared = 14,641
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 11
StartRoot 121 EndRoot = 121 Superscript one-half Baseline = 60.5
The radical expression written as an exponent, and simplified, is given by:
[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].
How to transform an exponent to a power?It happens according to the following rule:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
The inverse is also valid, hence, in this problem, the expression written as an exponent and simplified is given by:
[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].
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If I get 10 dollars a week how much money will I have saved up in 9-years I WILL GIVE 55 POINTS
Answer:
$4,680
Step-by-step explanation:
Rate : 10 dollars a week
Per year : 10 x 52 = $5209 x 520 = $4,680You will have saved up $4,680 in 9 years.
this net can be folded to make a square pyramid. what is the surface area of the pyramid
Answer:
[tex]85in^2[/tex]
Step-by-step explanation:
to find the surface area we need to find the followng areas:
area of the square area of a triangle and multiply it by 4 (because there are 4 triangles)And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
[tex]a_{square}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]
thus the area of the square is:
[tex]a_{square}=(5in)^2[/tex]
[tex]a_{square}=25in^2[/tex]
Area of the triangles:
the are of 1 triangle is given by
[tex]a_{triangle} =\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)
and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]
thus, the area of 1 triangle is:
[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]
[tex]a_{triangle} =\frac{30in^2}{2}[/tex]
[tex]a_{triangle} =15in^2[/tex]
the area of the 4 triangles is (we multiply by 4):
[tex]a_{4-triangles}=4(15in^2)[/tex]
[tex]a_{4-triangles}=60in^2[/tex]
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
[tex]Surface=25in^2+60in^2[/tex]
[tex]Surface=85in^2[/tex]
1 in. = 2 ft. what is the area of the actual living room?
Answer:
........................
Answer:
[tex]144ft^{2}[/tex] (144ft^2)
Step-by-step explanation:
Since the living room is 6 inches by 6 inches, the formula of the living room can be seen as: [tex]6in^{2}[/tex]. And since each inch is equal to 2 feet, (6*2=12) we can turn the equation into: [tex]12ft^{2}[/tex]. 12 times 12 is 144, so the answer is [tex]144ft^{2}[/tex]
polynomials ( math )
pls help
Answer:
f(x) = x¹² + 4
Step-by-step explanation:
Degree 12:
This means that one of the terms needs to be raised to the power of 12. The term should be a variable. Therefore, a term you can use is x¹².
2 Terms:
This means there should be 2 separate entities in the expression. These terms are non-combinable unless you input an "x" value. The 2 terms you could use for this expression are x¹² and a constant.
Constant:
Constants are numbers that are not beside any variables. In other words, they are not being multiplied to the "x" value. The constant you could use is (4).
Putting all of these together, one of the many expressions that could satisfy the prompt is f(x) = x¹² + 4.
What is the arc length of ACB?
Answer:
C. 82.43
Step-by-step explanation:
acb's angle is 315 degrees because
360 - 45 = 315
arc length is in radians
arc length is radius times (angle times (pi÷180))
arc length is 15 times (315 times (pi÷180))
arc length is 82.43
cuemathcomgeometry
pls help with this question asap
Answer:
30 ft
Step-by-step explanation:
Perimeter
= 3 + 4 + 4 + 7 + 4 + 4 + 4
= 30 ft.
If AD=2:5 the coordinates of point F are. Point E has the coordinates (3.8, -3) and the coordinates of point D are
Using the assumed coordinates of point F, the coordinates of point D are (3,3)
How to determine the coordinates of D?The given parameters are:
Ratio, m : n = 2 : 5
E = (3.8, -3)
The coordinates of point D is calculated using:
[tex]D = \frac{1}{m + n} * (mx_2 +nx_1,my_2 +ny_1)[/tex]
So, we have:
[tex]D = \frac{1}{2 + 5} * (2x_2 +5*3.8,2y_2 +5*-3)[/tex]
Evaluate the sum and the products
[tex]D = \frac{1}{7} * (2x_2 +18,2y_2 -15)[/tex]
Assume the coordinates of point F are:
F = (1.5,18);
The equation becomes
[tex]D = \frac{1}{7} * (2*1.5 +18,2*18 -15)[/tex]
Evaluate
[tex]D = \frac{1}{7} * (21,21)[/tex]
This gives
D = (3,3)
Hence, the coordinates of point D are (3,3)
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NEEED HELPppppppppppp
PLSSSSS
Answer:
probably the furthest graph to the left.
Step-by-step explanation:
seems like a 25% 10% split.
What is the range of the function graphed below?
Picture has the stuff
Answer:
∝ < y < 2
Step-by-step explanation:
The range is negative infinity to 2.
25° 35° to 205° circle
Answer:
x = 60
Step-by-step explanation:
the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
The sum of the arcs in a circle = 360° , then
intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°
then
x = [tex]\frac{1}{2}[/tex] (95 + 25 ) = [tex]\frac{1}{2}[/tex] × 120 = 60
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Is the relationship between the step number and number of squares a quadratic function.
AnalyzeStep 1 = 2 squares
Step 2 = 6 squares
Step 3 = 12 squares
2, 6, 12
4 6
2
To build a quadratic functionax² + bx + c
2a = 2 ⇒ a = 1
3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1
a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0
Equation: x² + x
Hence, Yes it is a quadratic function.
Answer:
It is quadratic with nth term = n^2 + n.
Step-by-step explanation:
Number of squares in each term = 2, 6 and 12
Differences between these are 4 and 6
6 - 4 = 2
This is an indication of a quadratic function with n^2 the first term.
Value of n^2 for first 3 terms
= 1 4 9 and the terms are:
2 6 12
Differences 1 2 3
This last term = n
So the quadratic function for this sequence is
n^2 + n.
*PLSSSS HELP WILL GIVE 30 POINTS I'M DESPERATE*
What type of number is -6?
Select *ALL* correct answers
_integer _irrational
_rational _whole
_natural _real
Answer:
rational real whole
Step-by-step explanation:
Find the least positive integer that has a remainder of 2 when you divide by 5, a
remainder of 5 when you divide by a 8, and a remainder of 8 when you divide by 11.
When you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.
What is a quotient?The term quotient refers to the number that is obtained when you divide a number by another.
When you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.
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What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
The unfilled volume inside the cylinder is determined as 640π cubic units.
Volume of the cylinder
The volume of the cylinder is determined as follows;
V = πr²h
where;
r is radius of the cylinder given as 8 unitsh is height of the cylinder determined as 15 unitsV = π(8²)(15)
V = 960 π cubic units
Volume of coneV = ¹/₃πr²h
where;
r is radius of the cone given as 8 unitsh is slant height of the cone determined as 15 unitsV = ¹/₃π(8)²(15)
V = 320 π cubic units
Unfilled volume of the cylinderΔV = 960 π - 320 π = 640 π cubic units
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Answer:
It’s C
Step-by-step explanation:
i got a 100% on my quiz so trust me
ur wlcm :)
A $52 video game is advertised for 20% off
If sales tax is 6%; how much will the
video game cost?
Answer:
Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help
Step-by-step explanation:
The graph of which equation is shown below?
Please answer quickly!!!
HELP ASAP PLEASEE
Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown. Circles X and Y are shown. Circle X has a radius of 6 units and circle Y has a radius of 2 units. Which steps would prove the circles similar?
-Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
- Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
-Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
-Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
Answer & step-by-step explanation:
to arrive at the similarity, the transformation must be as follow:
the small circle will be dilated for a specific scale factor,
the radius of X circle is R= 6, and the radius of the small circle is r = 2
besides, two circles are similar if and only if R = r, (their radius ar equal)
therefore r = 2*k = 6, and from where k = 6 / 2 = 3 units
the answer is
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Answer:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
Step-by-step explanation:
To prove circles are similar:
Translate the circles so that they share a common center point. (The circles are now concentric as they have the same center).
Dilate the smaller circle to increase its size to coincide with the larger circle. The amount that the circle needs to be dilated by is the scale factor.
As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:
scale factor = 6 ÷ 2 = 3
Solution:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
By the way, you forgot to give us the image:
a plant grew 3 1/4 inches over a - 6 1/2 month period. what was the average
Answer:
0.5 inches per a month
Step-by-step explanation:
you turn them to a decimal to make them easier and then divide them to get the answer.