Since the number of minutes and number of laps completed varies directly, therefore if 2.75 laps correspond to 1 min then:
[tex]\frac{2.75\text{laps}}{1\min}=\frac{41.25\text{laps}}{x\min }\text{.}[/tex]Solving for x we get:
[tex]x\min =\frac{41.25}{2.75}1\min =15\min \text{.}[/tex]Answer: Option B.
what is four fiths minus 6 fiftheens
what is four fiths minus 6 fiftheens
we have
4/5-6/15
Multiply by 3/3 fraction 4/5
4/5(3/3)=12/15
substi
Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. Not drawn to scale x= 6.9, y = 5.7 x=8, y = 11.3 x 11.3, y = 8 x = 5.7, y = 6.9
x=11.3 y=8
Explanationhere we have a right triangle, so we can use a trigonometric function to find the missing sides
so
Step 1
a)let
[tex]\begin{gathered} angle=45\text{ \degree} \\ opposite\text{ side=8} \\ adjacent\text{ side=y} \\ hypotenuse=x \end{gathered}[/tex]Step 2
now, fin the missing length
a) y
to find the adjacent side we can use the stan function
[tex]tan\theta=\frac{opposite\text{ side}}{adjacent\text{ side}}[/tex]replace and solve for y( adjacent side)
[tex]\begin{gathered} tan45=\frac{8}{y} \\ y=\frac{8}{tan\text{ 45}}=\frac{8}{1} \\ y=8 \end{gathered}[/tex]b)x (hypotenuse)
to find the hyoptenuse we can use the sin function ,
[tex]\sin\theta=\frac{opposite\text{ side}}{hypotenuse}[/tex]replace and solve for x
[tex]\begin{gathered} sin\text{ 45=}\frac{8}{x} \\ x=\frac{8}{sin\text{ 45}}=11.3 \\ x=11.3 \end{gathered}[/tex]therefore, the answer is
x=11.3 y=8
I hope this helps you
The values of events A, B, and C are provided. Compare the probabilityof event A occurring, given that event C occurred to the probability ofEvent B happening, given that event C occurred (Compare P(A/C) toP(BIC)] Which event is more likely?P(A) = 0.45P(B) = 0.30P(C) = 0.25
The conditional probability P(A/C) is given by
[tex]P(A|C)=\frac{P(A\cap C)}{P(C)}[/tex]If event A is independent to event C, we can write
[tex]P(A|C)=\frac{P(A)\cdot P(C)}{P(C)}=P(A)[/tex]Similary, if event B is independent to event C, we get
[tex]P(B|C)=\frac{P(B)\cdot P(C)}{P(C)}=P(B)[/tex]Then, by comparing both results we can see that event A is more likey than event B.
1.) A.) Name the 'item' on which point L exists.B.) If ML= 6x - 4, LH = 10x+1 and MH = 29, find the length of ML.
Now for the point A), L is in the middle of M and H, and the interval will be:
[tex](M,H)[/tex]For the second point, We need to put the value of the segments in the draw...
From the draw, we can deduce that:
[tex]ML+LH=MH[/tex]We replace with values:
[tex]\begin{gathered} ML+LH=MH \\ 6x-4+(10x+1)=29 \end{gathered}[/tex]We solve to x:
[tex]\begin{gathered} 6x-4+(10x+1)=29 \\ 6x\text{ -4 +10x +1=29 ; we agroup the values with x} \\ (6x+10x)-4+1=29 \\ 16x-3=29 \\ 16x=29+3 \\ 16x=32 \\ x=\frac{32}{16}=2 \\ x=2 \end{gathered}[/tex]Finally, if the value of x = 2, then whi can replace in:
[tex]\begin{gathered} ML=6x-4 \\ ML=6(2)-4 \\ ML=12-4 \\ ML=8 \end{gathered}[/tex]Your answer of point B) is ML=8.
Let f(x)=x^2+5x−36. Enter the x-intercepts of the quadratic function in the boxes.___and__
Given
[tex]f(x)=x^2+5x-36[/tex]Riley has 200 stands 35% are from Europe 10% from Asia and 20% are from Australia the rest of the stamps are from North America how many of rileys stamps are from North America
Explanation:
First, we need to calculate the rest of the percentage. So, if the total percentage is 100%, the percentage that corresponds to North America can be calculated as:
100% - (35% + 10% + 20%)
100% - (65%)
35%
So, 35% of the stands are from North America.
Now,
help!!! i’ll mark brainliest!!!
For the given diagram, both the triangles are congruent that is ΔLKM ≅ ΔJKM by using theorem of ASA ( Angle side Angle).
As given in the question,
In the given diagram of the triangles,
Given : ∠LKM ≅ ∠JKM
∠LMK ≅ ∠JMK
To prove : ΔLKM ≅ ΔJKM
∠LKM ≅ ∠JKM ( given )
∠LMK ≅ ∠JMK ( given )
KM ≅ KM ( using reflexive property of congruence )
By applying ASA theorem ( Angle Side Angle )
ΔLKM ≅ ΔJKM
Therefore, for the given diagram, both the triangles are congruent that is ΔLKM ≅ ΔJKM by using theorem of ASA ( Angle side Angle).
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What’s the scale factor?What’s the value of x? Show your work
Given the original triangle and the scale triangle, you can determine that they are similar.
• Therefore, you can find the scale factor by dividing the lengths of the corresponding sides given in the exercise:
[tex]\begin{gathered} sf=\frac{42\operatorname{cm}}{7cm} \\ \\ sf=6 \end{gathered}[/tex]• In order to find the value of "x", you need to multiply the corresponding side (whose length is 3 centimeters) by the scale factor:
[tex]\begin{gathered} x=(3\operatorname{cm})(6) \\ \\ x=18\operatorname{cm} \end{gathered}[/tex]Hence, the answers are:
- Scale factor:
[tex]sf=6[/tex]- Value of "x":
[tex]x=18\operatorname{cm}[/tex]The age of the Earth is inferred from the-A. age of the uranium -235B. age of the Grand CanyonC. age of the Canyon Diablo meteoriteD. age of dinosaurs
The age of the Earth is inferred from the - age of the Canyon Diablo meteorite .
To find : The age of the Earth
Age - Age is defined as the length of time during which a thing or being existed .
a ) the half life of age of uranium-238 , uranium's most abundant and longest-lived isotope is approximately 4.47 billion years ago .
b ) the age of Grand Canyon is 1.8 billion years ago .
c ) The fragment of the Canyon Diablo meteorite determined the elements that formed as radioactive uranium decayed over billions of years.
d ) age of dinosaurs was about 252 million to about 66 million years ago .
Hence , c ) age of the Canyon Diablo meteorite .
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what is five plus two
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
five plus two
Step 02:
addition:
5 + 2 = 7
The answer is:
7
Which relation is a function?
Answer:
The left upper one is a function
Step-by-step explanation:
If you draw a straight vertically and the line goes through two point then its not a function. Just look what makes a function or answer again if you are confused.
The relation which is a function is f ( x ) = x³
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
y = x³ be equation (1)
Now , relation is a function if and only if there exists one value in the range for every domain value.
So , when x = { 1 , 2 , 3 , 4 }
The values of y are = { 1 , 8 , 27 , 64 }
Hence , the function is y = x³ and the graph is plotted
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I need help with question 4, I've included the prior answers from questions 1, 2 and 3 to help you. I've also included what the previous questions were so you have some context of the situation. Although, I think you only need the answers from part C ( which is the graph I've including) to answer question 4
We are asked to determine the equation of the midline for the periodic function. This can be seen below.
Explanation
Using the parameters from the graph, the function can be expressed as;
[tex]y=(100sinx)+150[/tex]The graph that contains the equation of the midline can be seen below.
Therefore, the equation of the midline is
Answer:
[tex]y=150[/tex]Suppose that when your friend was born, your friend's parents deposited $9000 in an account paying %6.6 interest compounded . What will the account balance be after 13 years
We are given the following information
Deposited amount = P = $9000
Interest rate = r = 6.6% = 0.066
Compounding interval = n = quarterly = 4
Number of years = t = 13
We are asked to find the accumulated amount (or ending balance)
Recall that the compound interest formula is given by
[tex]A=P(1+\frac{r}{n})^{n\cdot t}[/tex]Where
A = Accumulated amount (or ending balance)
P = Deposit amount
r = Interest rate in decimal
n = Number of compounding in a year
t = Number of years
Now let us substitute the given values into the above formula
[tex]\begin{gathered} A=P(1+\frac{r}{n})^{n\cdot t} \\ A=9000\cdot(1+\frac{0.066}{4})^{4\cdot13} \\ A=9000\cdot(1+0.0165)^{52} \\ A=9000\cdot(1.0165)^{52} \\ A=\$21077.85 \end{gathered}[/tex]Therefore, after 13 years, the account balance will be $21077.85
I need help with this question please. Also, this is just apart of a homework practice
Given:
[tex]P(x)=4x^5+9x^4+6x^3-x^2+2x-7[/tex]The leading coefficient is the coeffient (number) written in front of the the variable with the highest power of x.
So, the leading coefficient is 4
The degree of the equation is the highest power of the variable.
In this question, the degree is 5.
Finally, to find the end behavior, you have to substitute the leading term by +∞ and -∞ to observe the behavior of the function.
Substituting by +∞:
[tex]4\cdot\infty^5=\infty[/tex]Substituting by -∞:
[tex]4\cdot(-\infty)^5=-\infty[/tex]Answer:
Leading coefficient: 4
Degree: 5
x → +∞; P(x) → +∞
x → -∞; P(x) → -∞
Alternative A.
If [tex]f(x)=3x-2[/tex] and [tex]g(x)=\frac{1}{3}x+1[/tex], then [tex](f(g))^{-1} (x)[/tex] equals:
a. [tex]1-x[/tex]
b. [tex]x-1[/tex]
c. [tex]\frac{1}{3} (3x-1)[/tex]
d. [tex]x+1[/tex]
Answer:
B) x - 1=================
Givenf(x) = 3x - 2, g(x) = 1/3x + 1Find the composite function f(g(x))f(g(x)) = 3(1/3x +1) - 2 = x + 3 - 2 = x + 1Find the inverse of f(g(x))x = f(g)⁻¹(x) + 1f(g)⁻¹(x) = x - 1Correct choice is B
please help me with my question.
The volume of a cylinder is given by
[tex]V=\pi(R^2)H[/tex]Here H = 8cm, we do not know the value of the radius, but we can find that given the circumference.
[tex]\begin{gathered} C=2\pi R=20\pi \\ R=\frac{20\pi}{2\pi}=10\operatorname{cm} \end{gathered}[/tex]Thus the volume should be;
[tex]\begin{gathered} V=\pi(10^2)8 \\ V=2513.27\operatorname{cm}^3 \end{gathered}[/tex]That is option A
On (07.03) Choose the correct simplification of the expression b5.54. (1 point)
explanation/ Working:
[tex]c^2.c^9=c^2\times c^9=c^{2+9}=c^{11}[/tex]Rule on iindex says when the base is same, you should add the powers
[tex]c^2.c^9=\text{ (c}\times c)\times(c\times c\times c\times c\times c\times c\times c\times c\times c)=c^{11}[/tex]the graph represent 1, and the equation represents function 2: function 2: y=8x + 12how much more is the rate of function 2 then the rate of change of function 1?answer choices:a.3b.4c.5d.8
as the graph represent a constant function, we have that the rate for function 1 is 0. The rate for the second function is 8. So we get that the the answer is D
Jordan plots point m at (-3,7) Graph point m reflected across the y-axis. in which quadrant would the new point be located?
If he reflected the point (-3, 7) over the y-axis it will end up in the first quadrant.
*The transformation rule is (x, y) -> (-x, y) so, x & y-components will be positive, thus being in the first quadrant.
100 pts RESPOND QUICK PLS! Planes S and R both intersect plane T . Horizontal plane T intersects vertical planes S and R. Planes T and S intersect at line x. Planes T and R intersect and line y. Horizontal line v intersects line x at point B and line y at point A. Line z intersects the lower half of plane S at point C. Point D is on line z but not on a plane. Which statements are true based on the diagram? Select three options. Plane S contains points B and E. The line containing points A and B lies entirely in plane T. Line v intersects lines x and y at the same point. Line z intersects plane S at point C. Planes R and T intersect at line y.
Answer:
The line containing points A and B lies entirely in plane T.
Line z intersects plane S at point C.
Planes R and T intersect at line y.
Step-by-step explanation:
draw a sketch (see picture)
Plane S contains points B and E. - can't be true - there is no point E
The line containing points A and B lies entirely in plane T. - since lines x and y are both on plane T, and points B and A lie on x and y respectively
Line v intersects lines x and y at the same point. - can only be true IF points A and B are the same point
Line z intersects plane S at point C. - given
Planes R and T intersect at line y. - given
Answer:
The line containing points A and B lies entirely in plane T.
Line z intersects plane S at point C.
Planes R and T intersect at line y.
Step-by-step explanation:
Note: The given diagram does not match the description. Please see the attachment for the correct diagram.
Planes
A plane is a flat, two-dimensional surface that extends into infinity.
A plane can be named by the letters naming three non-collinear points in the plane or by an uppercase script letter.
Parallel planes are planes that never intersect. Intersecting planes are not parallel and always intersect along a line.Statement 1
Plane S contains points B and E.
This statement is untrue, since point E is contained in Plane R and point B is contained in Plane S.
Statement 2
The line containing points A and B lies entirely in plane T.
This statement is true.
Statement 3
Line v intersects lines x and y at the same point.
This statement is untrue since lines x and y are on different planes.
Statement 4
Line z intersects plane S at point C.
This statement is true.
Statement 5
Planes R and T intersect at line y.
This statement is true.
I require assistance on a troubling problem
Given data:
The given table.
The standard expression for the exponential function is,
[tex]y=a(b)^x[/tex]Substitute o for x and 5 for y in the above expression.
[tex]\begin{gathered} 5=a(b)^0 \\ 5=a \end{gathered}[/tex]Substitute 1 for x, 15 for y, and 5 for a in the standard exponential expression.
[tex]\begin{gathered} 15=5(b)^1 \\ b=3 \end{gathered}[/tex]The exponential expression can be written as,
[tex]y=5(3)^x[/tex]Thus, the expression for the exponential function is y=5(3)^x.
9 divided by 2765 that’s what I’m am asking for
Answer: 307.22222222222 ......
Step-by-step explanation: use the bus stop method to help you
evaluate: 4163 divided by 38
Steps: We select the part of the dividend that is divisible by the divisor. Then we find the result of this division, then we subtract the result of that product by the part of the dividend we selected prior by the result of the product. Then we select the next number on the dividend and try to divide it with the divisor, if we can't we add a 0 to the result and add one more number from the dividend. When there are no more numbers on the dividend to add, we add a 0 and a dot on the result.
-2/5 divide (-3) multiply and reduce to lowest terms.
Answer:
2/15
Explanation:
Given the expression:
[tex]-\frac{2}{5}\div(-3)[/tex]First, change the division sign to times by taking the reciprocal of the number after the sign:
[tex]=-\frac{2}{5}\times-\frac{1}{3}[/tex]Next, multiply the numerators and denominators:
[tex]\begin{gathered} =\frac{(-2)\times(-1)}{5\times3} \\ =\frac{2}{15} \end{gathered}[/tex]The fraction is already in its lowest form as required.
use the equation and type the ordered-pairs.y=3^x[(-1,_),(0,_),(1,_),(2,_),(3,_),(4,_)]
Given the equation :
[tex]y=3^x[/tex]we need to complete the order pairs :
[(-1,_),(0,_),(1,_),(2,_),(3,_),(4,_)]
So, for each value of x, we will find the corresponding value of y
[tex]\begin{gathered} x=-1\rightarrow y=3^{-1}=\frac{1}{3} \\ \\ x=0\rightarrow y=3^0=1 \\ \\ x=1\rightarrow y=3^1=3 \\ \\ x=2\rightarrow y=3^2=9 \\ \\ x=3\rightarrow y=3^3=27 \\ \\ x=4\rightarrow y=3^4=81 \end{gathered}[/tex]So, the answer is : the order pairs will be :
[tex](-1,\frac{1}{3}),(0,1),(1,3),(2,9),(3,27),(4,81)[/tex]4x-1=3y+5 it says find the slope
Solution
We have the following equation given:
4x -1 = 3y +5
We can rewrite the expression on this way:
3y = 4x -1-5
3y = 4x -6
Then we can divide both sides of the equation by 3 and we got:
y = 4/3x -2
Then the slope would be:
m= 4/3
Emma made a mistake when she divided 6.4 by 0.02. She divided 2 into 64 and got 32 but she did not use the decimals. Describe her mistake and show the correct division.
The given division can be expressed mathematically as:
[tex]\frac{6.4}{0.02}[/tex]Emma did 64/2 and got 32 because he multiplied the numerator by 10 and the denominator by 100. This is a mistake because both the numerator and the denominator should be multiplied by equal number.
Emma can correct this mistake by multiplying the numerator (6.4) and the denominator(0.02) by 100 as shown below
[tex]\begin{gathered} \frac{6.4\times100}{0.02\times100} \\ =\text{ }\frac{640}{2} \\ =\text{ 320} \end{gathered}[/tex]Therefore, the correct result for 6.4 divided by 0.02 is 320 and not 32 that Emma got.
At the rodeo, the bronco riding event takes place in a large dirt ring which has a diameter of 14 yards. What is the ring's radius?
The ring's radius is 7 yards.
Diameter = 14 yd.
The diameter can be defined as:
It is the length of the line passing through the center that touches two points on the edge of the circle.
Also, diameter is double of the radius
That is:
Diameter = 2 times the radius
Diameter = 2 × radius
Let the radius be r
14 = 2 × r
2 r = 14
Divide both the sides by 2:
2 r / 2 = 14 / 2
r = 7 yards.
Therefore, we get that, the radius of the ring will be 7 yards.
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The values of x and y vary directly and one pair of values are given write an equation that relates xand y simplify completely
The values of x and y vary directly. Hence, we can write
[tex]y=kx[/tex]Here, k is the constant of proportionality.
Substitute x=0.1 and y=0.9 in the above equation and solve for k.
[tex]\begin{gathered} 0.9=k\times0.1 \\ k=\frac{0.9}{0.1} \\ k=9 \end{gathered}[/tex]Put the value of k in y=kx.
Therefore, y=9x.
1 The graph of y=-1/2x+2 is positive over the interval (- infty∞,4) and negative over the interval (4,infty∞,). What happens on the graph when x=4?
The answer is letter B.