Answer:
[tex]\boxed{\frac{5}{12} \ miles}[/tex]
Step-by-step explanation:
Will ran = [tex]1 \frac{2}{3} \ of \ a \frac{1}{4} \ miles \ track[/tex]
Will ran = [tex]\frac{5}{3} * \frac{1}{4}[/tex] [of means to multiply]
=> [tex]\frac{5*1}{3*4}[/tex]
=> 5/12 miles
What are the solutions of the system? y=−6x−6 and y= x^2 −5x−6
Answer:
(0,-6) and (-1,0)
Step-by-step explanation:
First:
Set both sides equal to each other: -6x-6=x^2-5x-6
Next:
factor -6 our from the first side and write -5x as a difference:
-6(x+1)=x^2+x-6x-6
Then:
factor out x and -6 drom the second side:
-6(x+1)=x(x+1)-6(x-+1)
Then:
Factor out (x+1)
-6(x+1)=(x+1)(x-6)
Next Combine to one side and factor:
-(x+1)(6+x-6)=0
Simplify:
(x+1) (x)=0
find the zero:
x+1=0 --> x=-1
x=0 --> x=0
Substitute into the equations to find y:
y=-6(-1)-6
y=-6(0)-6
Solve:
y=0
y=-6
Answer:
(x1,y1)= (-1,0)
(x2,y2)= (0,-6)
Write an equation that represents your total earnings based on the price of your item and how many you sell. my price of my item is 25 and spending limit was 200. PLEASE SOMEONE HELP ME OUT
Answer:
The data that we have is:
Price per item = $25
spending limit = $200
Now, if you sell x items, then your earnings will be:
E = $25*x
So if you sell two items, we have x = 2
E(2) = $25*2 = $50
But the maximum spending possible will be such that:
$25*x = $200
x = $200/$25 = 8
Then the equation is:
E(x) = $25*x
such that 0 ≤ x ≤ 8
Which means that you can sell any number of units between 0 and 8.
What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.
5.8 ft
6.3 ft
27.5 ft
69.1 ft
Answer:
69.1 ft
Step-by-step explanation:
A circle has 360 degrees.
The arc we are finding the length of is 330 degrees.
Its length is 11/12 of the circle's total circumference. (330/360=33/36=11/12)
Let's find the circumference of the entire circle.
Circumference is πd.
The radius of the circle is 12ft.
Diameter is double of radius.
12*2=24
The diameter is 24.
Plug that in.
24π=75.36 when using 3.14 for π
Multiply that by 11/12.
11/12*75.36=69.08
Round 69.08 to nearest tenth.
69.1
Keywords:
Circle
Circumference
Arc
Diameter
Radius
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Solve x2 − 7x = −12. (6 points) x = 6 and x = −2 x = 4 and x = 3 x = 2 and x = 6 x = −4 and x = −3
Work Shown:
x^2 - 7x = -12
x^2 - 7x + 12 = 0
(x - 3)(x - 4) = 0 ... see note below
x - 3 = 0 or x - 4 = 0
x = 3 or x = 4
Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.
Answer:
x=3 x=4
Step-by-step explanation:
x^2 − 7x = −12
Add 12 to each side
x^2 - 7x +12 =0
Factor
What 2 numbers multiply to 12 and add to -7
-3*-4 = 12
-3+-4 = -7
(x-3)(x-4) =0
Using the zero product property
x-3 =0 x-4 =0
x=3 x=4
What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)= ____ or ____%
Answer:
0.8185 or 81.85%
Step-by-step explanation:
The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.
The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.
For 8 inches:
[tex]z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2[/tex]
For 12.5 inches:
[tex]z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1[/tex]
From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%
Angle measures and segment lengths. Two tangents. PLEASE HELP ASAP! LIKE IN 2 MINS PLZ!!! :)
Answer:
x=60 degrees
Step-by-step explanation:
Formula for angle at x=1/2(240-120)
x=60
An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units.
An oblique cone has a diameter of 2 x and a height of 2 x. The volume of the cone is 18 pi cubic units.
What is the radius of the cone?
Answer:
3
Step-by-step explanation:
plug in the values in the formula of volume of cone
18pi=pi(x^2)(2x)(1/3)
then solve for x
multiply both sides by 3 : 54pi = pi(x^2)(2x)
divide pi from both sides : 54 = (x^2)(2x)
divide 2 from both sides : 27 = x^3
cube root of both sides : 3 = x
Answer: 3
Step-by-step explanation:
edg 2020
Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?
Subtract base fee from total then divide by price per mile:
115.58 - 15.99 = 99.59
99.59 / 0.79 = 126.063 miles
Round the answer as needed.
The number of people contacted at each level of a phone tree can be represented by f(x) = 3^x where x represents the level.
What is x when f(x) = 27?
A. X = 2; At level 2, 27 people will be contacted.
B. x = 24; At level 24, 27 people will be contacted.
C. x = 3; At level 3, 27 people will be contacted.
D. x = 9; At level 9,27 people will be contacted.
Answer:
3
Step-by-step explanation:
Answer:
c is the correct answer
Step-by-step explanation:
Instructions: Find the angle measures given the figure is a rhombus.
Note: The figure in the problem is NOT drawn to scale.
Because the figure is a rhombus, its diagonal bisects the intersecting angle AND opposite angles are congruent (this was hard to notice since the figure wasn't drawn to scale)
If you look at the image I attached to my answer, we now have an isosceles triangle with angles [tex]\angle 1[/tex], [tex]\angle 1[/tex], and 32
The property of a triangle is that all angles must add to 180 degrees
[tex]\angle 1+\angle 1+32=180[/tex]
[tex]2\angle1=148[/tex]
[tex]\angle1=74[/tex]
Thus, the measurement of angle 1 is 74 degrees. Let me know if you need any clarifications, thanks!
Instructions: Find the missing side. Round your answer to the
nearest tenth
Answer:
x = 64Step-by-step explanation:
To find x we use tan
tan∅ = opposite / adjacent
From the question
The adjacent is x
The opposite is 30
So we have
tan 25° = 30/x
x tan 25 = 30
Divide both sides by tan 25
x = 30/tan 25
x = 64.34
x = 64 to the nearest tenth
Hope this helps you
help needed! I'll mark brainiest to the right anwser thank you!
Answer:
B. Better measure of spread: the standard deviation
D. Better measure of center: the median
Step-by-step explanation:
The mean is the average of a data set.
The median value is best for measuring the center value because median measures the middle value of a set of data.
The IQR only measures the inner range of a data set.
The standard deviation is best for measuring the spread because standard deviation measures the spread of data distribution.
What is 5,000 - 245( 30/2))?
Answer:
1,325
Step-by-step explanation:
30 /2
= 155,000 - 245(15)
= 5,000 - 3,675
= 1,325
Answer:
1,325
Step-by-step explanation:
Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect. In the kite, AC = 10 and BD = 6. What is the area of kite ABCD? 15 square units 30 square units 45 square units 60 square units
Answer:
[tex]30 u^{2}[/tex]
Step-by-step explanation:
The computation of the area of kite ABCD is shown below:
Given data
AC = 10 ;
BD = 6
As we can see from the attached figure that the Kite is a quadrilateral as it involves two adjacent sides i.e to be equal
Now the area of quadrilateral when the diagonals are given
So, it is
[tex]\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}[/tex]
where,
[tex]d_{1}=10\ and\ d_{2}=6[/tex]
So, the area of the quadrilateral is
[tex]=\frac{1}{2}(10)(6)\\\\=30 u^{2}[/tex]
Answer:
C
Step-by-step explanation:
I just took the test
Social Networking Sites
In a survey of 2255 randomly selected US adults (age 18 or older), 1787 of them use the Internet regularly. Of the Internet users, 1054 use a social networking site.7 Find and interpret a 95% confidence interval for each of the following proportions:________
(a) Proportion of US adults who use the Internet regularly.
(b) Proportion of US adult Internet users who use a social networking site.
(c) Proportion of all US adults who use a social networking site. Use the confidence interval to estimate whether it is plausible that 50% of all US adults use a social networking site.
Answer:
(a). ( 0.776 ,0.809).
(b). (0.567 , 0.613).
(c). 0.600.
Step-by-step explanation:
Okay, we are given the following set of values or data or parameters;
=> "A survey of 2255 randomly selected US adults (age 18 or older)"
=> "1787 of them use the Internet regularly. Of the Internet users, 1054 use a social networking site".
=> Also, "95% confidence interval for each of the following proportions"
Therefore, we are going to make use of one (major ) mathematical formula in solving this particular Question and it is given below;
Confidence Interval = p +/- z* × [ √p( 1 - p) / n].
(a).
Where p = 1787/2255 = 0.793.
95% confidence Interval = z* = 1.96.
= 0.793 +/- 1.96 × [√0.793 ( 1 - 0.793)/ 2255] .
= 0.793 +/- 0.0167.
= ( 0.776 ,0.809).
(b). Where p = 1054/ 1787 = 0.5900
95% confidence Interval = z* = 1.96.
= 0.5900 +/- 1.96 × [√0.5900 ( 1 - 0.5900)/ 1787]
= 0.5900 +/- 0.0228.
= (0.567 , 0.613).
(c). 1054/1787 = 0.59 = 0.600.
Answer:
your answer is the third one
Step-by-step explanation:
GRADE
Perimeter: Change in Dimensions
A rectangle ABCD has a width of 3 inches and a length of 7 inches.
a) What is the Perimeter of the rectangle?
BINDEX
b) What is the Perimeter of the new rectangle if you double the width of rectangle ABCD? How did you find
it? How many times bigger or smaller did the new Perimeter get? (You can divide the new Perimeter over the
old one to find the times of increase/decrease)
c) What is the Perimeter of the new rectangle if you double the width and length of rectangle ABCD? How did
you find it? How many times bigger or smaller did the new Perimeter get compared to the perimeter of
rectangle ABCD?
d) Now choose a different shape of your liking and give it your own dimensions. Answer questions a), b), c)
and d) for the shape you chose.
e) Can you generalize what happens to the Perimeter if you change one of the dimensions of a shape and
what happens when you change both dimensions of the shape?
lick "Create lournal Fntn" tn antar un
Answer:
A) 20 in
B) 26 in and it got bigger by 1.3 times
C) 40 in and it got bigger by 2 times
Step-by-step explanation:
A) so the formula for finding perimeter is P= 2(L+W) so its (3+7)*2 = 20
B) if you double 3, 3*2=6 then it is 2*(6+7) = 26. 26/20= 13/20= 1.3 times more
C) if you double 3, 3*2=6 and 7, 7*2= 14 then it is (14+6)*2 = 40. 40/20=2/1 = 2 times more.
Also i couldnt solve D for you but try to solve it using what I wrote below.
Hope it helps :)
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply. x = one-half y minus 3 2 x minus y = negative 6 2 x minus y = negative 3 x = one-half (y minus 3) y = 10 (x minus 1)
Answer: x=one-half y minus
Step-by-step explanation:
Answer:
x=1/2 y-3
Step-by-step explanation:
WILL GIVE BRANLIEST AND 20 POINTS!!
List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)
Step-by-step explanation:
The coordinates of the feasible region are:(In clockwise direction)
(200, 200)
(300, 200)
(500, 0)
(300, 0)
How many triangles does a=6 b=10 A=33° create?
Answer:
2 triangles are possible.
Step-by-step explanation:
Given
a=6
b=10
[tex]\angle[/tex]A=33°
To find:
Number of triangles possible ?
Solution:
First of all, let us use the sine rule:
As per Sine Rule:
[tex]\dfrac{a}{sinA}=\dfrac{b}{sinB}[/tex]
And let us find the angle B.
[tex]\dfrac{6}{sin33}=\dfrac{10}{sinB}\\sinB = \dfrac{10}{6}\times sin33\\B =sin^{-1}(1.67 \times 0.545)\\B =sin^{-1}(0.9095) =65.44^\circ[/tex]
This value is in the 1st quadrant i.e. acute angle.
One more value for B is possible in the 2nd quadrant i.e. obtuse angle which is: 180 - 65.44 = [tex]114.56^\circ[/tex]
For the value of [tex]\angle B = 65.44^\circ[/tex], let us find [tex]\angle C[/tex]:
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+65.44+\angle C = 180\\\Rightarrow \angle C = 180-98.44 = 81.56^\circ[/tex]
Let us find side c using sine rule again:
[tex]\dfrac{6}{sin33}=\dfrac{c}{sin81.56^\circ}\\\Rightarrow c = 11.02 \times sin81.56^\circ = 10.89[/tex]
So, one possible triangle is:
a = 6, b = 10, c = 10.89
[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=65.44°, [tex]\angle[/tex]C=81.56°
For the value of [tex]\angle B =[/tex][tex]114.56^\circ[/tex], let us find [tex]\angle C[/tex]:
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+114.56+\angle C = 180\\\Rightarrow \angle C = 180-147.56 = 32.44^\circ[/tex]
Let us find side c using sine rule again:
[tex]\dfrac{6}{sin33}=\dfrac{c}{sin32.44^\circ}\\\Rightarrow c = 11.02 \times sin32.44^\circ = 5.91[/tex]
So, second possible triangle is:
a = 6, b = 10, c = 5.91
[tex]\angle[/tex]A=33°, [tex]\angle[/tex]A=114.56°, [tex]\angle[/tex]C=32.44°
So, answer is : 2 triangles are possible.
A chef uses 12 cup of cheese for a small pizza. There are 6 grams of fat in 14 cup of cheese. Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Answer:
I guess that we want to find how many grams of fat we have in a small pizza.
In a small pizza, we use 12 cups of cheese.
in 14 cups of cheese, we have 6 grams of fat.
Then, in 12 cups of cheese, we have x grams of fat.
We want to find the value of x.
We know that the ratio between the number of cups must be the same as the ratio between the grams of fat then:
12cups/14cups = x/6grams
x = (12/14)*6grams = 5.14 grams
Then in the 12 cups of cheese, we have 5.14 grams of fat.
Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles. A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between the top and bottom of the bridge, in feet.
CHECK THE ATTACHED FIQURE FOR THE BRIDGE
Answer:
60 ft
Step-by-step explanation:
From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that
triangles ABC and EDC are congruent then we can say
side EC = side AC
3x + 9 = 5x - 5
Then we can simplify to know value of x
3x + 14= 5x
2x = 14
x = 7
But we know that AC= 5x - 5 , then substitute value of x into it
AC = 5x + 5 = 5(7) - 5
= 35 - 5
AC= 30 ft
Also EC= 3x + 9 then substitute value of x into it
EC = 3x + 9 = 3(7) + 9
= 21 + 9
EC= 30 ft
Then the the distance between the top and bottom of the bridge, in feet, = EC+AC
= 30 + 30 = 60 ft
Answer:
60 ft
Step-by-step explanation:
i did the test
Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7. x = 3 y squared minus 7 On a coordinate plane, a graph curves up, then curves down, and then curves up again. please comment i cant see answers thank you! :)
Answer: The answer is D . The graph
Step-by-step explanation: It was the answer given on Edge.
Answer:
d
Step-by-step explanation:
The stock of Company A lost 2.75% today to $77.80. What was the opening price of the stock in the beginning of the day?
Answer:
$80
Step-by-step explanation: $80.00*.0275= 2.20 80.-2.20=$77.80
The opening price of the stock in the beginning is A = $ 80
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the opening price of the stock in the beginning be A
Now , the percentage of decrease in the stock price = 2.75 %
And , the price after decrease = $ 77.80
On simplifying , we get
The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80
A - ( 2.75 / 100 )A = 77.80
( 97.25/100 )A = 77.80
Divide by 97.25 on both sides , we get
A / 100 = 0.8
Multiply by 100 on both sides , we get
A = $ 80
Hence , the opening price of the stock is A = $ 80
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Pls help I'm so dumb
Answer:
C. p > -3
Step-by-step explanation:
We observe the characteristics of the shaded ray on the number line.
It goes to the right, so the inequality must be either greater than or greater than or equal to.
The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.
Now, without even looking at the numbers themselves, we can find our answer.
There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.
Please give me correct answer and fast answer it if know answer only
Answer:
Approximatley 5.8 units.
Step-by-step explanation:
We are given two angles, ∠S and ∠T, and the side opposite to ∠T. We need to find the unknown side opposite to ∠S. Therefore, we can use the Law of Sines. The Law of Sines states that:
[tex]\frac{\sin(A)}{a}=\frac{\sin(B)}{b} =\frac{\sin(C)}{c}[/tex]
Replacing them with the respective variables, we have:
[tex]\frac{\sin(S)}{s} =\frac{\sin(T)}{t} =\frac{\sin(R)}{r}[/tex]
Plug in what we know. 20° for ∠S, 17° for ∠T, and 5 for t. Ignore the third term:
[tex]\frac{\sin(20)}{s}=\frac{\\sin(17)}{5}[/tex]
Solve for s, the unknown side. Cross multiply:
[tex]\frac{\sin(20)}{s}=\frac{\sin(17)}{5}\\5\sin(20)=s\sin(17)\\s=\frac{5\sin(20)}{\sin(17)} \\s\approx5.8491\approx5.8[/tex]
What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3
Answer:
n = 2
Step-by-step explanation:
Here, we want to write the simplified form of the equation given in the question.
Firstly, we write the equation in an equation form:
4/5n -1/5 = 2/5n
5n(4/5n -1/5) = 2/5n(5n)
(4/5n * 5n) -(1/5)(5n) = 2
4- n = 2
n =4-2
n = 2
Answer:
The answer that I got was n=2
Step-by-step explanation:
1. Find the cube root of the following through
estimation a) 300763 b) 704969 c)
( - 226981)
in which are perfect cube
Answer:
A).300763=+ 67
b) 704969= +87
c)( - 226981)= -61
Step-by-step explanation:
The values of the cube root iyf the given numbers above will be looked up in a calculator and the estimated value will be returned back.
Going through the numbers
A).for 300763
The value of the cube root = +67
B). For 704969
The value of the cube root = +89
C). For ( - 226981)
The value of the cube root= -61
Please help me!!!!!! I do not understand...
Answer:
the second one........the shape of the conic section os circle
please help ASAP. Which statement below is NOT true for the graph of a quadratic function? a) the axis of symmetry intersects the parabola at the vertex b) when the coefficient of x^2 is positive, the vertex of the parabola is a minimum point c)The vertex of a parabola is its highest or lowest level d) the parabola is symmetrical about the y-axis
Answer:
Step-by-step explanation:
All of these statements about a vertical parabola with known vertex are true.
The statement which is not always true about the graph of a quadratic function is option d) the parabola is symmetrical about the y-axis.
What is Parabola?A parabola is a open U shaped curve on a plane where all the points on the curve will be at an equal distance from a fixed point called focus and a fixed line called directrix.
Vertex of a parabola is the point where the parabola intersects with it's line of symmetry. So the vertex will always lie at the maximum point or the minimum point.
Axis of symmetry is the line that passes through the vertex of a parabola.
Graph of the quadratic equation will always be a parabola.
When the coefficient of x² is positive, then the vertex of the parabola will be at a minimum point and if the coefficient is negative, then the vertex will be at a maximum point.
The parabola is symmetrical to y axis only if the vertex of the parabola lies on the Y axis. So it will not be always true.
Hence the statement the parabola is symmetrical about the y-axis is not always true.
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Find the product. (5p + 2)2^
Answer:
25p^2 + 4 + 20p
Step-by-step explanation:
(5p + 2)^2 = (5p)^2 + (2)^2 + 2 × 5p × 2
= 25p^2 + 4 + 20p