Answer:
[tex] \sqrt{4 \times 5 + \sqrt{4 \times 9} } [/tex]
What is the distance between the points?
Answer:
[tex] \sqrt{113} [/tex]
Step-by-step explanation:
To find the distance between the two points, apply the distance formula given as:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] (-4, -5) = (x_1, y_1) [/tex]
[tex] (4, 2) = (x_2, y_2) [/tex]
Plug in the values
[tex] d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2} [/tex]
[tex] d = \sqrt{(8)^2 + (7)^2} [/tex]
[tex] d = \sqrt{64 + 49} [/tex]
[tex] d = \sqrt{113} [/tex]
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: Determine the distance between (-4, -5) and (4, 2).
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-4, -5)[/tex][tex]\sf (x_2, y_2) = (4, 2)[/tex]Substitute the given values into the distance formula and solve for d:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf d = \sqrt{[4 - (-4)]^2 + [2 - (-5)]^2}[/tex][tex]\sf d = \sqrt{(8)^2 + (7)^2}[/tex][tex]\sf d = \sqrt{64 + 49}[/tex][tex]\bold{d = \sqrt{113} \approx 10.6 \: units}[/tex]Therefore, the distance between two points is [tex]\sqrt{113}[/tex] or 10.6 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437
What is the value of x?
O x = 32
O x = 36
O x = 37
O x = 40
Answer:
x=40
Step-by-step explanation:
I went through each answer one by one and the only one that satisfies the question is 40.
The line equals 180°, so x + (4x-20) must equal 180.
x+(4x-20)
40+(4(40)-20)
40+(160-20)
40+140=180
x=40
Answer:
x= 40
Step-by-step explanation:
sum of angle on a straight line= 180;
To find X,
sum of angles = 180
x+(4x-20)= 180
: x= 180- [x+(4x-20)]
opening the brackets,
= 180-x-4x+20= 0
taking like terms:
= -x-4x+180+20= 0
= -5x+200=0
= -5x= -200
= x= 200/5
x= 40°
sammy is on level 40 , which is five times as much as rocky.what islevel rocky on
Answer:
8
Step-by-step explanation:
40÷5=8
Hope this helps! :)
1. Of the three angles in a right-angled triangle, one angle has a measure
of 60 degrees. What is the measure of the third angle, Angle X? *
al 60
Answer:
30. A right triangle has one angle that is 90°
All angles add to 180°
180 - 90 - 60 = 30
Step-by-step explanation:
Would these be similar?
Hey buddy I am here to help!
Yes these r similar!
Hope this helps!
Plz mark me brainliest!
How many times bigger is a group of 20 coins than a group of 5 coins
Answer:
It is there difference:
20-5
15
Hallar la ecuación de la recta (2,3) y (1,-2)
Answer:
[tex]y=5x-7[/tex]
Step-by-step explanation:
Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery number is 5"". What are two possible numbers that Hall could be thinking of?
Answer:
The possible number that Hall could be thinking of is 144.
Step-by-step explanation:
Difference between 17 and the square root of my mystery number
This is represented by:
[tex]17 - \sqrt{x}[/tex]
is 5
Then:
[tex]17 - \sqrt{x} = 5[/tex]
What are two possible numbers that Hall could be thinking of?
We have to solve the equation, for x. So
[tex]17 - \sqrt{x} = 5[/tex]
[tex]\sqrt{x} = 12[/tex]
[tex](\sqrt{x})^2 = (12)^2[/tex]
[tex]x = 144[/tex]
The possible number that Hall could be thinking of is 144.
Which two graphs can be combined to represent 140% HELP PLEASE
Answer:
Step-by-step explanation:
Since all the grids have 100 squares, which grid has all squares shaded? And which grid has 40 (4 columns) shaded? This add up to 100+40=140. The answer, of course, is C+D (last answer). None of the others have enough shaded squares
The ratio between boys and girls in a class is 3 : 1. Find the number of boys in the class is the total number of students is 40.
Answer: 30 boys
Step-by-step explanation:
Boys:Girls
3 : 1
Let no. of girls =x
⇒ no. of boys =3x.
⇒ no. of students in class =4x
= 4/3×3x
= 4 /3 ×no. of boys
40=4/3* no.of boys
40* (3/4)=no.of boys
30=no of boys
A sequence is defined by the recursive function f(n + 1) = f(n). It f(3) = 9, what is f{1) ?
Answer:
because f(n) = f(n + 1)
=> f(3) = f(2) = f(1) = 9
a garden pond is in the shape of a rectangle that measures 5 m by 3 m. a stone path is built all around the pond. this path is the same width all the way around. the area of the pond and the path together is 39 m². how wide is the path?
Answer:
1.16 m (approximately)
Step-by-step explanation:
Let x be the width of the path.
Total area = (5+2x)(3+2x) = 39
Expand and simplify
4x²+ 16x+15-39 = 0
4x² + 16x - 24 = 0
Simplify
x² + 4x -6 = 0
Rational factoring does not work, so use quadratic formula
x = +/- sqrt(10) -2
= 1.16 or -5.16 (reject)
= 1.16 m (approximately)
All of the following statements have the same value except..?
1. six below zero
2. the opposite of six
3. negative six
4. the absolute value of six
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
Let's consider each of the statements.
1. Six below zero.
⟹ Any number below zero will be negative. So, the value will be [tex]\boxed{-6}[/tex]
____________________
2. The opposite of six.
⟹ The opposite of 6 wil be negative 6. The value again will be [tex]\boxed{-6}[/tex]
____________________
3. Negative six.
⟹ Negative six in numerical form is [tex]\boxed{-6}[/tex]
____________________
4. The absolute value of six.
⟹ Here they've asked the absolute value of 6 which will be [tex]\boxed{6}[/tex]
____________________
⏩ So, the statement which doesn't have the same value will be ⇻ [tex]\boxed{statement \ 4}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex]RainbowSalt2^{2}2^{2}[/tex]
Write a linear function g(x) where g(1) = 4 and g(-3) = -2
Answer:g(x) = 3/2x + 2 and a half?
Step-by-step explanation: sorry not good at college math, but at least i tried.
Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1).
{9x,x−4,x<−1x≥−1
Question 17 options:
f(–3) = –7, f(0) = –0, and f(–1) = 5
f(–3) = –27, f(0) = –4, and f(–1) = 5
f(–3) = –7, f(0) = –4, and f(–1) = –1
f(–3) = –27, f(0) = –4, and f(–1) = –5
Given:
The piecewise function is:
[tex]f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}[/tex]
To find:
The values of [tex]f(-3),f(0), f(-1)[/tex].
Solution:
In the given piecewise function,
[tex]f(x)=9x[/tex] for [tex]x<-1[/tex] and [tex]f(x)=x-4[/tex] for [tex]x\geq -1[/tex].
Putting [tex]x=-3[/tex] in [tex]f(x)=9x[/tex], we get
[tex]f(-3)=9(-3)[/tex]
[tex]f(-3)=27[/tex]
Putting [tex]x=0[/tex] in [tex]f(x)=x-4[/tex], we get
[tex]f(0)=0-4[/tex]
[tex]f(0)=-4[/tex]
Putting [tex]x=-1[/tex] in [tex]f(x)=x-4[/tex], we get
[tex]f(-1)=-1-4[/tex]
[tex]f(-1)=-5[/tex]
The required values are [tex]f(-3)=27,f(0)=-4,f(-1)=-5[/tex].
Therefore, the correct option is D.
1. There are 2 schools. Each school has 3 buildings. Each building has 4 floors. Each floor has 5 classrooms. Each classroom has 6 rows of desks. Each row has 7 desks. How many desks are there in the two schools?
Charlie weighed 8 lbs. 11 oz. at birth given that 1 pound is equivalent to 16 ounces what is Charlie’s birthweight expressed in ounces
Answer:
139 oz.
Step-by-step explanation:
If 1 pound equals 16 ounces, multiply 8 by 16 and you will get 128, then add the original 11 ounces to get 139.
Please helpppppppppppp
Answer:
It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.
Step-by-step explanation:
A. Determination of the time it takes for the object to 1000 ft.
Distance (d) = 1000 ft
Time (t) =?
t = √(d/16)
t = √(1000/16)
t = 8 s
B. Determination of how much feet an object will fall in 10 s.
Time (t) = 10 s
Distance (d) =?
t = √(d/16)
10 = √(d/16)
Take the square of both side
10² = d/16
100 = d/16
Cross multiply
d = 100 × 16
d = 1600 ft
SUMMARY
It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.
The Boffo Product Company sells a waffle iron on which they have done product testing. They have determined that the amount of time the product will last can be described by a normal distribution. In particular, the average waffle iron lasts for 12 years and one standard deviation is 8 months. How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time
Answer:
They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average waffle iron lasts for 12 years and one standard deviation is 8 months.
Measuring the time in months, we have that [tex]\mu = 12*8 = 96[/tex] and [tex]\sigma = 8[/tex]
How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time?
This is X when Z has a p-value of 0.067, so X when Z = -1.5. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.5 = \frac{X - 96}{8}[/tex]
[tex]X - 96 = -1.5*8[/tex]
[tex]X = 84[/tex]
84 months = 7 years.
They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.
DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $73.94. Determine the APR of the loan to the nearest one-half of a percent
Answer:
The APR of the loan was 18.30%.
Step-by-step explanation:
Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:
3,000 = 100
(73.94 x 48) = X
3,000 = 100
3,549.12 = X
3,549.12 x 100 / 3,000 = X
354,912 / 3000 = X
118.30 = X
118.30 - 100 = 18.30
Therefore, the APR of the loan was 18.30%.
Amber rode her bike around the park 4 times. It took her 9 minutes each time.
How many minutes did she ride in all?
Answer:
Amber rode for 36 minutes in total.
Step-by-step explanation:
Lets create a ratio table:
Time elpased (minutes) : Laps around park
9 : 1
36 : 4
Amber rode for 36 minutes in total.
đã đi 36 phút.
từng bước
9: 1
36: 4
Amber đã đi tổng cộng 36 phút.
An Olympic swimming pool is 50 metres long by 25 metres wide. Rebecca draws a scale diagram of it to a scale of 1 cm to 5 m. How many centimetres long should her drawing be?Required to answer. Single choice.
(2 Points)
5
10
25
Answer:
10
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Scaled length of the pool = 50 / 5 = 10cm
What type of number is 12/3
Choose all that apply.
Whole number
Integer
Rational
Irrational
Answer: Rational
Step-by-step explanation: bc
solve the equation
[tex] \frac{1}{6 - d} = \frac{1}{d - 5} [/tex]
Answer:
5.5
Step-by-step explanation:
[tex] \frac{1}{6 - d} = \frac{1}{d - 5} \\ \\ \therefore \: 6 - d = d - 5 \\ \\ 6 + 5 = d + d \\ \\ 11 = 2d \\ \\ d = \frac{11}{2} \\ \\ d = 5.5[/tex]
find the equation of line parallel to y=-2x+1 and passing through the point (2,4)
Answer:
[tex]y=-2x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slopes1) Determine the slope (m)
[tex]y=-2x+1[/tex]
The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-2x+b[/tex]
Plug in the given point (2,4) to solve for b
[tex]4=-2(2)+b\\4=-4+b[/tex]
Add 4 to both sides to isolate b
[tex]4+4=-4+b+4\\8=b[/tex]
Therefore, the y-intercept of the line is 8. Plug this back into [tex]y=-2x+b[/tex]:
[tex]y=-2x+8[/tex]
I hope this helps!
The circle shown has a radius of 4 cm.
What is the area of the circle to 1 decimal place?
Answer:
A = 50.2 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = (3.14) * 4^2
A =50.24
To 1 decimal place
A = 50.2 cm^2
Answer:
50.3 cm^2 to 1 dec. place.
Step-by-step explanation:
Area = pi r^2
= pi * 4^2
= 16 * pi
= 50.265
Identify the outliers of the data set. Then determine if the outlier increases or decreases the value of the mean.
35, 42, 76, 38, 41, 32, 38, 36, 34, 42, 37
A: 76; decreases
B: 32; decreases
C: 32; increases
D: 76; increases
========================================================
Explanation:
The main group or cluster of values spans from 32 to 42 (inclusive).
Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.
Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.
--------------
Let's consider the set
A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}
where I've sorted the values and I replaced 76 with 46.
Computing the mean of set A gets us
(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately
--------------
Now let's form this set
B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}
which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.
Compute the mean of set B
(32+34+35+36+37+38+38+41+42+42+76)/11 = 41
---------------
Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.
The radius of a circle is 12.4 cm. Find the circumference to the nearest tenth.
In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. Suppose you are a news reporter following twelve criminal trials.
(a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? What is this probability if the trials were in the United States?
(b) Of the ten trials, what is the expected number of guilty verdicts in Japan? What is the expected number in the United Sates? What is the standard deviation in each case?
Answer:
a) Japan =0.599
US= 0.006
b) Japan
Variance= 0.475
Standard Deviation =0.69
USA
Variance =2.4
Standard Deviation= 1.55
Step-by-step explanation:
A represents the number of defendants found guilty in Japan in 10 trials
B represents the number of defendants found guilty in US in 10 trials
A represents a binomial function such that n=10,p=0.95 and B represents a binomial function such that n=10,p=0.60
a) Japan: P(A=10)=0.95^10=0.599
US: P(B=10)=0.60^10=0.006
b) Japan:
Expected number of guilty verdicts in 10 trials in Japan = np=10*0.95=9.5
Variance: Var(A) = np(1-p) = 10*0.95*(1-0.95) = 0.475
Standard Deviation = sd(A)=√0.475=0.69
US:
Expected number of guilty verdicts in 10 trials in USA = np=10*0.60=6
Variance: Var(B)=np(1-p)=10*0.6*0.4=2.4
Standard Deviation sd(B)=√2.4=1.55
Please help I have gotten through every problem except this one!
Answer:
Step-by-step explanation:
BUG is 30 degrees more than GUY
So that means if <GUY = x
< BUG = <GUY + 30
Together they make 180 degrees
<BUG + <GUY = 180 Substitute for <BUG
<GUY + 30 <GUY = 180 Combine
2*<GUY + 30 = 180 Subtract 30 from both sides
2*<GUY = 150 Divide by 2
<GUY = 150/2
<GUY = 75
<BUG = 75 + 30
<BUG = 105
