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
The Independent party received one-eleventh of the 6,185,894 votes cast. How many votes did the party receive?
Answer:
562,354 votes
Step-by-step explanation:
1/11 of 6,185,894
=>1/11 x 6,185,894
=>562,354
Select the correct answer.
What is the solution to this equation?
g^x-1=2
A. -1/2
B. 1/2
C. 2
D. 1
9514 1404 393
Answer:
B. 1/2
Step-by-step explanation:
Maybe you want the solution to ...
[tex]9^x-1=2[/tex]
You can use logarithms, or your knowledge of powers of 3 to solve this.
[tex]9^x=3\qquad\text{add 1}\\\\3^{2x}=3^1\qquad\text{express as powers of 3}\\\\2x=1\qquad\text{equate exponents of the same base}\\\\\boxed{x=\dfrac{1}{2}}\qquad\text{divide by 2}[/tex]
Using logarithms, the solution looks like ...
[tex]x\cdot\log{9}=\log{3}\\\\x=\dfrac{\log{3}}{\log{9}}=\dfrac{1}{2}[/tex]
The C Train travels north at a rate of 80 miles per hour. The D Train travels east
at a rate of 150 miles per hour. How far apart will they be after 4 hours?
600
The quotient of 36 and 9 multiplied by 7
Answer:
6
Step-by-step explanation:
6*9 = 54
6*6 = 36
6*7 = 42
The harmonic mean of two real numbers x and y equals 2xy/(x + y). By computing the harmonic and geometric means of different pairs of positive real numbers, formulate a conjecture about their relative sizes and prove your conjecture.
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
Formulate a conjecture about their relative sizes
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
the volume of a cylinder is 44cm3. find the volume of another cylinder of the same height and double the base radius
Answer:
[tex]Volume \ of \ other\ cylinder = 176 \ cm^3[/tex]
Step-by-step explanation:
Let the volume of cylinder Vₐ = 44cm³
Let radius of cylinder " a " be = rₐ
Let height of cylinder " b" be = hₐ
[tex]Volume_a = \pi r_a^2 h_a\\\\44 = \pi r_a^2 h_a[/tex]
Given cylinder " b ", Radius is twice cylinder " a " , that is [tex]r_b = 2 r_a[/tex]
Also Height of cylinder " b " is same as cylinder " a " , that is [tex]h_b = h_a[/tex]
[tex]Volume_b = \pi r_b^2 h_b[/tex]
[tex]= \pi (2r_a)^2 h_a\\\\=4 \times \pi r_a^2 h_a\\\\= 4 \times 44\\\\= 176 \ cm^3[/tex]
A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2. Find the probability that a randomly selected value is between 66.4 and 241.6. P(66.4 < X < 241.6)
Answer:
P(66.4 < X < 241.6) = 0.5039 = 50.39%.
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.
A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2.
This means that [tex]\mu = 232.4, \sigma = 92.2[/tex]
Find the probability that a randomly selected value is between 66.4 and 241.6.
This is the p-value of Z when X = 241.6 subtracted by the p-value of Z when X = 66.4.
X = 241.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{241.6 - 232.4}{92.2}[/tex]
[tex]Z = 0.1[/tex]
[tex]Z = 0.1[/tex] has a p-value of 0.5398
X = 66.4
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66.4 - 232.4}{92.2}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
0.5398 - 0.0359 = 0.5039
P(66.4 < X < 241.6) = 0.5039 = 50.39%.
In a Louisiana chili cook-off, 18 of the 40 chilis included two types of beans.
A photo of multiple crock pots on a long table is shown. The caption says chili cook-off.
What percentage of the chilis did not include two types of beans?
Enter the correct answer in the box.
Answer:
55%
Step-by-step explanation:
18 out of 40 include chili.
So 22 has no chili
22/40 = 0.55 or 55%
solution - 12. The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed, the new number will be 36 less than the original number. Find the original number. Check your solution.
Answer:
62
Step-by-step explanation:
t=digit in the tens place
u=digit in the units place
t=3*u
original number=t*10+u
number with reversed digits=u*10+t
u*10+t=t*10+u-36
u*10+(3*u)=(3*u)*10+u-36
10u+3u-30u-u=-36
-18u=-36
u=2
t=3*u=6
Original number = 62
Check the solution:
6=3*2 ok
26=62-36 ok
Which type of parent function is f(x) =1/2
Answer:
I think you are missing something unless the answer is a horizontal line.
Step-by-step explanation:
Answer:
square root
Step-by-step explanation:
just took the test :)
PLEASE HELP ME
Challenge In a company, 85 % of the workers are woman . If 585 people work for the company who aren't woman , how many workers are there in all?
there are ___ workers in all
Answer:
3900
Step-by-step explanation:
let x= number of workers
we know that .15 (or 1-.85) of the people are not women
so
.15x=585
585/.15=x
3900=x
Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?
Answer:
Location of W is - 23, location of X is - 9.
Step-by-step explanation:
location of V = - 16
Points W and X are each 7 units away from Point V.
Let the W is at left of V and X is right of V.
location of W = -16 - 7 = - 23
location of X = - 16 + 7 = - 9
13 multiplied by the sum of 4 and11. Now reverse the result and add it to the earliest result and then multiplied it by 13
Step-by-step explanation:
I am not critically certain but the ways you have jotted down your enquiry..
I assume is13 × (4×11)
13 × 44
=572 - 44= 528
528+13 =541
541 ×13=7033
A study examines the relationship between educational preparation and scores on a cultural competency exam. Subjects included are nurses with an associate's degree, nurses with a baccalaureate degree, nurses with a master's degree, and nurses with a doctoral degree. In this example, cultural competency is measured at what level?
a. Dependent variable
b. Independent variable
c. Outcome
d. Significant variable
Answer:
b. Independent variable
Step-by-step explanation:
Understanding the definition of variables is necessary to grasp the notion of independent and dependent variables. The attributes or sorts of features of specific occurrences or things are specified as variables.
Independent variables are variables that are modified or altered by researchers and the consequences of these modifications are evaluated and compared.
The term dependent variable relates to a sort of variable that assesses how the independent variable(s) impact the test results.
From the given information:
Education level is the predictor since we understand that nurses' education levels are closely correlated with their cultural competence scores. By applying the concept of the logistic regression model and using education level as an independent variable(predictor), we can simply predict their cultural competency. Thus, cultural competency is measured by using the independent variable.
Please show work thank you
Answer
No solution
Step-by-step explanation:
4y + 2x = 18
3x + 6y = 26
You need either the x's or the y's to have the same coefficients.
let's line things up first.
4y + 2x = 18 (multiply by 3)
6y + 3x = 26 (multiply by 2)
to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.
12y + 6x = 54
12y + 6x = 52
So, if you subtract them from each other you get :
0 = 2
When this happens the solution set is : no solution
Answer:
Impossible
Step-by-step explanation:
Ok, so we first rearrange for convenience:
2x+4y=18
3x+6y=26
We multiply the two equations to eliminate x:
2x+4y=18 * -3
3x+6y=26 * 2
So:
-6x-12y=-54
6x+12y=52
And now we add the two equations:
0+0= -2
Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.
Which region represents the solution to the given system of inequalities?
Answer:
The intersection region shown in the graph attached is the solution of the system of inequalities
What number is missing here?
2, 3, 5, 8, 13. ?
Answer:
2, 3, 5, 8, 13 missing number is 18.
The set (AB) (B-C) is equal to
Answer:
AB^2- AC.
Step-by-step explanation:
I'm not sure if this question is complete, but when two separate variables are placed in brackets side by side, then it means they need to be expanded.
Therefore, expanding the bracket gives us:
(AB) (B-C)=
AB^2- AC.
This is the answer, if the only task needed is to expand the brackets.
Find the missing segment in the image below
How to solve and answer
Answer:
D. (-2, 0) and (3, 0).
Step-by-step explanation:
At the x -intercepts the function = 0, so
(2x + 4)(x - 3) = 0
2x + 4 = 0 and x - 3 = 0
x = -4/2 = -2 and x = 3.
So they are (-2, 0) and (3, 0).
x = 3 or x = -2
Step-by-step explanation:
f(x) = (2x + 4)(x - 3)
y = (2x + 4)(x - 3)
x - intercept occurs when y = 0
0 = (2x + 4)(x - 3)
0 = 2x² - 6x + 4x - 12
2x² - 2x - 12 = 0
(2x² - 2x - 12)/2 = 0/2
x² - x - 6 = 0
From the quadratic formula,
x = (-b +- √(b² - 4ac))/2a
x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )
x = (1 +- √(1 - ( -24)))/-2
x = (1 +- √25)/-2
x = (1 +- 5)/-2
x = 3 or x = -2
Solve the equation.
(X-5)(x + 7) = 0
X=
-D
(Use a comma 6 separate answers as needed.)
9514 1404 393
Answer:
x = -7, 5
Step-by-step explanation:
The equation is written as a product equal to zero. The "zero product rule" tells us that a product is zero if and only if one or more factors are zero. Each factor will be zero when x takes on a value equal to the opposite of the constant in that factor.
x -5 = 0 ⇒ x = 5
x +7 = 0 ⇒ x = -7
The solutions to the equation are x = -7, 5.
Help please which option
Answer:
Step-by-step explanation:
-1<x<3. I hope it helpful!
one fourth of a number is 5. find the number
Hope this helps. Please mark brainliest
Answer: 20
let the number be x
1/4 x = 5
x=5*4
x=20
Answer:
x=20
Step-by-step explanation:
[tex]\frac{1}{4}x=5\\x=20[/tex]
divide [tex]\frac{1}{4}[/tex] on both sides, which gives you 20.
The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 10 Coffleton residents. Find the probability that exactly 4 of the 10 Coffleton residents recognize the brand name.
Answer:
16.9177% or .169177
Step-by-step explanation:
Binomial i think
10C4*.54⁴*(1-.54)⁶= 16.9177%
The probability that exactly 4 of the 10 Coffleton residents recognize the brand bis 16.9177% or .169177
What are the combinations?Once the sequence of the results is irrelevant, combinations can be used to determine the overall number of effects of an event. The nCr algorithm, where n represents the number many items and r is the host of factors getting picked at a time, is used to compute combinations.
The information provided will be:
54% recognition rate in the town of Coffleton
He selects a random sample of 10 Coffleton residents
the probability that exactly 4 of the 10
will be found out with the help of the combination
[tex]^nC_r = n! / r! \times (n - r)![/tex]
[tex]^10C_ 4\time 0.54^4 \times (1-.54)^6[/tex]
= 16.9177%
The probability will be 16.9177%.
Learn more about combinations, here:
https://brainly.com/question/20211959
#SPJ2
Answer the following: a) 2x32 =
b) (2 x 3)2 =
Answer:
a) 64 b) 12
Step-by-step explanation:
32 + 32 = 64
2*3 = 6
6*2 = 12
Answer:
a) 64 b) 12
Step-by-step explanation:
The answer for a is simple the answer is 64 just multipy 32 with 2 and the second one first you have to solve he answer iin the bracket then the answer you get from the bracket you will have to multiply with the number outside the bracket which is 2 and the answer you get will be 12.
Find the area of the isosceles trapezoid shown below.
9 cm
6 cm
4.5 cm
Answer:
area = 40.5 cm^2
Step-by-step explanation:
A quick calculation tells me it is none of them
Area = 6*(9 + 4.5) / 2
Area = 3*13.5
Area = 40.5
Force: F = MA; Solve for m.
mass = force / area
this is second law of motion ( Newton's 2nd law)
[tex]\longrightarrow{\blue{ m = \frac{F}{a} }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Explanation}}{\red{:}}}}}[/tex]
F = ma
➺ m = [tex]\frac{F}{a} [/tex]
where,
F = Force
m = mass
a = acceleration
"F = ma" is Newton's second law of motion, which states that force is equal to mass times acceleration.
The SI unit of force is newton, symbol N.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Calculate the cyclist's average speed in mph.
Answer:
15 mph
Step-by-step explanation
i used a calculator but correct me if im wrong pls
When choosing a four-number PIN.
(personal identification number)
how many different PINS are possible?
(The choice of digits 0-9 are available for each number.)
Answer:
10,000 different PINS are possible
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
Four each digit on the PIN, there are 10 possible outcomes. The digits are independent. So, by the fundamental counting principle:
[tex]T = 10^4 = 10000[/tex]
10,000 different PINS are possible
So are you good at maths then what is
[tex]4 \times 6 + 9 - 46 + 54 - 13[/tex]
1. 71
2. 42
3. 63
4. 28
5. 35
6. 14
maybe 28 is the answer...