Answer:
14.3 km (1 d.p.)
Step-by-step explanation:
To find the mean, divide the sum of all data values by the total number of data values.
If Mark ran a mean distance of 13.2 km in five days, we can use the mean distance for each of the 5 days in our calculation.
[tex]\begin{aligned}\implies \sf mean\:distance & = \sf \dfrac{13.2+13.2+13.2+13.2+13.2+20}{6}\\ & \sf =\dfrac{86}{6}\\\\ & = \sf 14.3\:km\:\:(1\:d.p.)\end{aligned}[/tex]
A rectangular photograph measures 24 x 19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm. If one of the borders must be 2cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar. (I NEED HELP PLEASeeeeeeeeeeeeeeeee)
The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
So, Length of the rectangular photograph = 24 cm
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore, Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width so that the inner and outer rectangles are similar = 23cm
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The possible length is 28cm and width is 23cm.
Rectangle is a two dimension figure with length and width.
Area of the rectangle is given by length × width.
Perimeter of the rectangle is given by 2 ( length + width ).
Given that dimension of a rectangular photograph is 24 × 19 cm.
Therefore, Length of the rectangular photograph = 24 cm and
Width of the rectangular photograph = 19cm
It is given that rectangular photograph is mounted on a card which has 2cm border all around.
Therefore,
Length = 24cm + 2cm + 2cm = 28cm
Width = 19cm + 2cm + 2cm = 23cm.
Hence, the possible length so that the inner and outer rectangles are similar = 28cm
The possible width for the inner and outer rectangles are similar = 23cm
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Situation:
A 45 gram sample of a substance that's
used to sterilize surgical instruments has
a k-value of 0.15.
N = Noe kt
No initial mass (at time t = 0)
N= mass at time t
k= a positive constant that depends on
the substance itself and on the units
used to measure time
t-time, in days
Find the substance's half-life, in days.
Round your answer to the nearest tenth.
Enter the correct answer.
DONE
+?
The substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
[tex]\rm N = N_oe^{-kt}[/tex]
Plug N = N⁰/2
[tex]\rm N_o/2 = N_oe^{-kt}[/tex]
[tex]\rm \dfrac{1}{2} = e^{-0.15t}[/tex]
Solving for t:
t = 4.62≈ 4.7 days
Thus, the substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15
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2. The letters from the word MATH are placed in a hat. What is the probability that you select an A when you are choosing a letter without looking? A. What is asked in the problem? 8. What are the given numbers? What operation will you use? D What is the mathematical sentence? E What is the answer to the problem? V. A
The probability of getting M from the word MATH placed in hat is 0.25.
Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.
P= number of favorable outcomes / total number of outcomes of an event
A. The problem is the probability of finding A
B. The given are MATH i.e. {M,A,T,H}
C. the operation used will be selecting a word from hat of word MATH
D. the mathematical statement from the probability of finding M will be
P(getting M from word MATH)
E. the answer to the problem will be calculated as
no. of element in the hat=4 i.e. {M,A,T,H}
no. of favorable outcomes= 1 i.e. {A}
P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes
⇒ P(getting A from word MATH) = 1/4
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Age of father is 13 times the age of his son , it will be only five times after four years find the present age of the father
Answer:26
Step-by-step explanation:
What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
x=135°
Step-by-step explanation:
WZ is 180 degrees. Simply subtract 48 from 180.
180-45=135.
Hope this helps!
If not, I am sorry.
Answer:
The answer is 132
Step-by-step explanation:
For khan academy
1-sinA+cosA / sinA+cosA-1 = 1+cosA/sinA
Solution:
[tex]\dfrac{\left[\left(\sin ^{2} A+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]\right.}{\left[\left(1-\cos ^{2} A\right)-(1-\cos A)^{2}\right]}[/tex]
[tex]\dfrac{\left[\left(1-\cos ^{2} A\right)+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]}{\left[(1-\cos A)(1+\cos A)-(1-\cos A)^{2}\right]} [/tex]
[tex]\dfrac{(1-\cos A)[1+\cos A+2 \sin A+1-\cos A]}{[1-\cos A][1+\cos A-1+\cos A]} [/tex]
[tex]\dfrac{[2+2 \sin A]}{[2 \times \cos A]}[/tex]
[tex]\dfrac{2(1+\sin A)}{2 \times \cos A}[/tex]
[tex]\dfrac{1+\cos A}{\sin A} [/tex]
Hence Proved.
A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
A.y=-4x+5
B. Y=4x -5
C.2y=8x-10
D.-2y=-8x-10
answer :
A. y = – 4x + 5
Step-by-step explanation:
make y = 4x-5 equal to each of the answer choices and see if you get an answer
STEPS:
1.
make 4x - y = 5 into a y= equation
4x - y = 5 is y = 4x-5
2.
then make y = 4x-5 equal to each of the answer choices and see if you get an answer
A.
4x-5 = -4x+5
8x = 10
x = 10/8 = 5/4
yes, it has one solution
its also an intersecting line because
one line has 4x and the other has -4x
4x and -4x are slopes and opposite signs so
the lines are intersecting
B.
4x-5 = 4x-5
since they are the same on both sides of the equal sign they have
infinite solutions
they are also both the same line
C.
2y=8x-10 when simplified is y=4x-5
so its just like choice B
they are also both the same line
4x-5 = 4x-5 which is
0 = 0
since they are the same on both sides of the equal sign
infinite solutions
they are also both the same line
D.
-2y=-8x-10 when simplified is y=4x+5
4x-5 = 4x+5 when you work it out you get the answer
0 = 5
since when you solve the equation and get 0 = 5
that means its there is no solution
its also parallel line because both lines have 4x as a slope
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An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support. How many villages does the organization support worldwide?
If organisation supports 125 villages financially and it is 11% of world wide then the total villages in world wide that needs help is 1136.36 villages.
Given An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support.
If 125 villages are 11% of worldwide villages who need help financially then we have to find 100% value according to organisation figure which can be calculated as under:
if 125 is 11% then 1% will be 125/11
then 100% will be 125/11*100
=12500/11
=1136.36
=1136 Approx
Hence 1136 villages are totally present worldwide which need help financially.
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For what values of x does 25× - 5ײ-3?
O x = -3, x = 1
O x = -1, x = 3
3
0 X=-²2/₁X-2
Ox
3
O x= -2, x=-2/
Answer:
X = 3, -1; B
Step-by-step explanation:
Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5 cancels. So 2x = x^2 -3, which can be solved using factoring:
x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1
The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given that the equation is 25ˣ = 5ˣ²⁻³.
To solve the equation, take logs on both sides, we get,
x log(25) = (x²- 3)log5
2x log 5 = (x²- 3) log5
2x = x²-3
x²- 2x -3 = 0
Now, factorize the quadratic equation,
we get,
x² - 3x + x - 3 = 0
x(x- 3) + 1(x - 3) = 0
x = 3 or -1.
Therefore, x = 3 or x = -1.
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Pls answer fast
(√3 + √11)² + (√3 - √11)²
(√3 + √11)² + (√3 - √11)²
(a+b)² = a² + b² + 2ab ( a - b )² = a² + b² - 2abNow ,
(√3 + √11)² + (√3 - √11)²
(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)
14 + 2√33+ 14 - 2√33
14 + 14 = 28
Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .
Answer:
28
Step-by-step explanation:
(a + b)² + (a - b)² = 2a² + 2b²
(√3 + √11)² + (√3 - √11)²
= 2√3² + 2√11²
= 28
PLS HELPPPP I NEED AN ANSWER ASAP WILL GIVE BRAINIEST
What are the alternate exterior angle pairs in the picture below?
∠1 and ∠2, ∠7 and ∠8
∠1 and ∠8, ∠2 and ∠7
∠1 and ∠7, ∠2 and ∠8
Answer:
∠1 and ∠2, ∠7 and ∠8
Answer:
∠1 and ∠7, ∠2 and ∠8
Step-by-step explanation:
just took the quiz
Determine the endpoints of the midsegment connecting side YX and side YZ
Answer:
endpoint of midsegment connecting side YX is (4, 3)
endpoint of midsegment connecting side YZ is (5, -1)
Step-by-step explanation:
Mid point of a line segment - it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.
according to the graph;
Y is (1, 2), Z is (9, -4), X is (7, 4)
therefore using mid point formula we can determine the endpoints of midsegments connecting side YX and YZ
if (x , y) and (x1, y1) are the endpoints of a line then;
The coordinates of mid point are given by the formula = (x+x1)/2, (y+y1)/2
using the above formula mid point of YX is
(7+1)/2, (4+2)/2 = (4, 3)
and the mid point of line YZ is
(9+1)/2, (-4+2)/2 = (5, -1)
hence the answer is (4,3) and (5, -1)
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If f(x) = -x-2, what is f¹(x)?
Answer:
f¯¹(x) =9x+18, for the pictorial(image) question what is the send question is it asking derivative or inverse If it is inverse f¯¹(x)=-x-2 as it isOr if it is derivative f'(x)=-1Step-by-step explanation:
For the image question f(x)=1/9x-2,f¯¹(x)=?f(x)=1/9x-2............giveny=1/9x-2................swapping f(x) by y to Easily writex=1/9y-2................interchanging x and y1/9y-2=x................changeling side of equation 9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side y-18=9xy=9x-18.................Return to where it weref¯¹(x)=9x+18..........swap back f¯¹(x) in the yFor the question f(x)=-x-2,f¯¹(x)=?following the ☝️ arrangement y=-x-2x=-y-2-y-2=x-y=x+2y=-x-2f¯¹(x)=-x-2If a=[-2 -4 2 5 1 5 -1 -3 -4] and b=[2 3 -5 5 -4 2 -1 -1 3] find ba
The product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].
What is the multiplication of matrix?If [tex]A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]and [tex]B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex]
then,
BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]
BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex]
Hence, the product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].
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Chris opened up a new credit card and credit line with U.S bank. He is paying a 15% APR on all new purchases
A. if he has a balance of 2,800 on his credit card, how much does he owe in interest to the bank next month?
B. if he sends in a payment to U.S bank for $140, how much of that will go towards paying off his principle balance
Answer:
Which one does not belong to the group
The volume of a cylinder with a height of 4 feet is 144n cubic feet what is the radius of the base of the cylinder V=nr2h
Answer: 6 ft
Step-by-step explanation:
[tex]144\pi =\pi(r^{2})(4)\\\\144\pi=4\pi r^{2}\\\\36=r^{2}\\\\r=\boxed{6 \text{ ft}}[/tex]
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
D
Step-by-step explanation:
Trust me
What are the x-coordinates of the solutions to this system of equations?
x² + y² = 16
y = x + 4
The x-coordinates are -4 and 0.
AandBhave coordinates (-1,1.5) and (3,2).
Tangents to the curve have been drawn at A and B.
Calculate the gradient of the curve at A and at B.
Which expression is not a polynomial?
x³
x² - 2x
x³ +1
12x
Answer:
12x
Step-by-step explanation:
It has no exponent so it is not a polynomial
Express your answer as a decimal. 63÷12=
Answer:
5.25
Step-by-step explanation:
Answer:
5.25Step-by-step explanation:
type 63 : 12 in your calculator
see the example in the attachment.
a television set was priced $1659 after a 30% discount. What original price before the discount?
=======================================================
Work Shown:
x = price before the discount
30% of x = 0.30x = amount saved
x - 0.30x = 0.70x = price after discount = 1659
0.70x = 1659
x = 1659/(0.70)
x = 2370
First we'll have to convert the percent into decimal.
We'll have to divide the value by 100.
[tex]\frac{30}{100}[/tex]
[tex]\bold{=0.30}[/tex]
Now, we can find the original price.
[tex]\large\boxed{\bold{Formula:OP= \frac{price}{1-Discount}}}[/tex]
We have all the necessary values to find the original price.
Let's solve!
Substitute the values according to the formula.
[tex]OP=\frac{1659}{1-0.30}[/tex]
OP= $2370
Therefore, the original price of the television set is $2370
find the inequality for 20 points pls
First find the Slope-intercept form of the graph:
b=1
Given the points: (0,1)&(3,0)
slope= [tex]\frac{y1-y2}{x1-x2} =\frac{1-0}{0-3} =\frac{-1}{3}[/tex]
The line is not a dashed line, so that means the values on the slope (blue) are also counted
All the y values below the slope are counted, the inequality is:
y[tex]\leq \frac{-1}{3}x +1[/tex]
Hope it helps!
Given the graph of the function, f(x), what is the value of f (–2)?
f (–2) =
Using the graph of the function concept, the numeric value at x = 2 is f(-2) = 0.
How to find the numeric value of a function?To find the numeric value of a function at x = a, we look at the value of y(vertical axis) where x = a has a closed interval.
Researching the problem on the internet, looking at it's graph, it is found that when x = -2, there is a closed interval at y = 0, hence f(-2) = 0.
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Answer:
0A: (-∞, ∞)B: (-2, ∞)Step-by-step explanation:
You went to an electronics store and would like to buy a TV priced at $1200. You only have $1000 to
spend and the store gives 15% discount on the TV. Can you buy the TV? Explain
Please help me out…
Polygon ____ and polygon ____ are similar to polygon 1.
Answer:
Polygon 3 and polygon 4 are similar to polygon 1.
Step-by-step explanation:
I believe this is the answer from the looks of it. If it's not 3, then try 2. I know one of them is definitely 4 though. I hope this helps!!
The amount of money that kailyn earns varies directly with the number of hours she works. if she works for 15 hours and makes 146.25, how much will she make in 40 hours.
Answer:
$390
Step-by-step explanation:
The wage rate for Kailyn is ($146.25/15 hours) = $9.75/hour
40 hours would result in:
(40 hours)*($9.75/hour) = $390
the equation of the line in the graph is y = (blank) x+ (blank)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: y=-x-1[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Taking two points : (-1 , 0) and (0 , -1)
[tex] \textsf{Calculate slope (m)} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 1)}{ - 1 - 0} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{0 + 1}{ - 1}[/tex]
[tex]\qquad \tt \rightarrow \: m = - 1[/tex]
[tex] \textsf{Y - intercept (c) of graph = -1 } [/tex]
Equation of line in slope - intercept form :
[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]
[tex]\qquad \tt \rightarrow \: y = - x - 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
HELP DUE TODAY WORTH 87 POINTS
1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.
2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is
F - 490 N = (50.0 kg) (-4.9 m/s²)
where F is the magnitude of the force due to the scale. Solve for F to get
F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N
and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.
3. With the elevator in free fall, Newton's second law gives
F - 490 N = (50.0 kg) (-9.8 m/s²) ⇒ F = 0 N
and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.
Graph g(x)=|x−4|+3.\
I insert an image graphing the function.
Function:[tex] \boxed{ \boxed{g(x) \: = \: |x \: - \: 4| \: + \: 3}}[/tex]
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