Answer:
8 unitssolution,
Let the points be A and B
A(-3,4)---->(X1,y1)
B(5,4)----->(x2,y2)
now,
Distance:
[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ = \sqrt{ {(5 - ( - 3))}^{2} + (4 - 4) ^{2} } \\ = \sqrt{ {(5 + 3)}^{2} + {(0)}^{2} } \\ = \sqrt{ {(8)}^{2} + 0} \\ = \sqrt{64} \\ = \sqrt{ {(8)}^{2} } \\ = 8 \: units[/tex]
Hope this helps..
Good luck on your assignment..
I think it's 65° is it correct??
Answer:
129
Step-by-step explanation:
DCF = DCE + ECF
= 75+ 54
= 129
Answer:
m∠DCF = 129°
Step-by-step explanation:
∠DCF is ∠DCE + ∠ECF
You are adding the 2 smaller angles together to get the larger angle.
What is EF? Please help me on this question.
Answer:
EF = 8
Step-by-step explanation:
FD is an angle bisector and divides the opposite side of the angle into segments that are proportional to the other 2 sides, that is
[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{FG}[/tex] , substitute values
[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )
54x = 24(x + 10) ← distribute
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Thus EF = x = 8
Can someone help me solve one of these?
Answer:
see below
Step-by-step explanation:
When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.
The individual probabilities are ...
D - 1/4
E - 2/4
R - 1/4
__
So, the probability for a sequence like DD is ...
p(D)·p(D) = (1/4)(1/4) = 1/16
Of course, to convert to a percentage, multiply by 100%:
1/16 × 100% = 6.25%
The attachment shows the rest of them.
PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.
Answer:
P(X≤57) = 84%
P(X≥57) = 16%
P(47≤X≤57) = 68%
P(X≤47) = 16%
P(X≥47) = 84%
Step-by-step explanation:
We know P(X≤52) = 50%, but this includes the mean as a maximum.
We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.
But if we combine them, we get P(X≤57) = 84%.
We could also say P(X≥57) = 16%.
Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%. So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.
Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.
The flight leaves Orlando at 9:15 a.m. Orlando time and arrives in Los Angeles
at 1:20 p.m.Los Angeles time. If Orlando is in the eastern time zone and Los
Angeles is in the Pacific time zone, how long is the flight? Use the following to
help you answer the question 12:00 p.m. eastern time = 11:00 a.m. central
time = 10:00 a.m. mountain time = 9:00 a.m. Pacific time.
A. 7 h 05 min
B. 5 h 15 min
C. 3 h 15 min
D. 4 h 15 min
Answer:
The correct option is A:
A) Time of flight = 7 hours 5 minutes
Step-by-step explanation:
If
For eastern time zone, t = 12:00 pm
Then, pacific time zone , t = 9:00 am
Which means the pacific time lags 3 hours to eastern time
Time of departure = 9:15 am (eastern time)
TIme of arrival = 1:20 pm (pacific time)
Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.
Converting both in pacific time zone.
Time of arrival = 1:20 pm (pacific time)
Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)
Time of departure = 6:15am (pacific time)
Time of flight = Time of arrival - Time of departure
Time of flight = 1:20pm - 6:15am
Time of flight = 7 hours 5 minutes
Consider the function ƒ(x) = 5(x + 2)2 – 3. Which of the following functions shifts the graph of ƒ(x) upward by 4 units?
Question 17 options:
A)
ƒ(x) = 5(x + 6)2 – 3
B)
ƒ(x) = 5(x + 2)2 + 1
C)
ƒ(x) = 5(x + 2)2 – 7
D)
ƒ(x) = 5(x – 2)2 – 3
Answer:
The correct answer is letter B.
Step-by-step explanation:
In order to shift any function f(x) in the vertical direction we need to add or subtract the constant number we want to move. In this case we want to shift the function up by 4 units, therefore we need to add 4. The new function, g(x), is shown below.
[tex]f(x) = 5*(x + 2)^2 - 3[/tex]
[tex]g(x) = f(x) + 4\\g(x) = 5*(x+2)^2 - 3 + 4\\g(x) = 5*(x + 2)^2 + 1[/tex]
The correct answer is letter B.
Answer:
D
Step-by-step explanation:
ƒ(x) = 5(x – 2)^2 – 3
Find the area under the standard normal curve to the left of z = 1.5
Answer:
0.9332
Step-by-step explanation:
Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
-----------------------------------------
In a normal distribution 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]
It 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, which is the percentile of X, which also represents the area under the normal curve to the left of Z.Looking at the standard normal table:
z = 1.5 has a p-value of 0.9332.Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.
A similar problem is given at https://brainly.com/question/6316394
Complete the square to rewrite y= x2 - 6x + 2 in vertex form. Then state
whether the vertex is a maximum or a minimum and give its coordinates.
Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 6x + 2
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 2
= (x - 3)² - 7 ← in vertex form
with vertex = (3, - 7 ) and a = 1
Since a > 0 then vertex is a minimum
Answer:
The vertex is a minimum.
e of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 liters of fuel this tank to leave the atmosphere. What percentage of the fuel capacity does the shuttle still have?
Answer:
15%
Step-by-step explanation:
200,000-170,000=30,000
30,000/200,000=0.15, or 15%
Bill bought 38 1/2 feet of wire fencing to put around his blueberry plants. He cut the wire into several pieces, each one measuring 5 1/2 feet. How many pieces of wire did he have after making the cuts?
Answer: 7
Step-by-step explanation:
You are given that Bill bought 38 1/2 feet of wire. Convert the mixed fraction into improper fraction.
The length L1 = 77/2
You are given that he cut the wire into several pieces, each one measuring 5 1/2 feet. Convert it too to improper fraction.
The length L2 = 11/2
To know how many number of pieces of wire he have after making the cuts, divide length L1 by length L2. That is,
L1/L2 = 77/2 ÷ 11/2
Change the division to multiplication by reciprocating 11/2 to 2/11
77/2 × 2/11 = 77/11 = 7
Therefore, he had 7 pieces of wires after making the cuts.
Find the 7th term in the
sequence
-5, -1, -5, -25,...
Hint: Write a formula to help you.
1st term · Common Ratio(desired term – 1)
Enter
Answer:
Step-by-step explanation:
Given sequence is -5, -1, -5, -25,..
In any arithmetic series nth term is given by a + (n-1)d
where a is the first term
and d is the common difference.
d = nth term - (n-1)th term
For the given series
a = -5
lets take nth term as 2nd term and 1st term as (n-1)th term
d = -1-(-5)= -1+5 = 84
n th term = a + (n-1)d
using the formula for nth term
4th term = 5 + (4-1)8 = 29
describe the rule of continuing this sequence 44, 41, 38, 35, 32
Answer:
aₙ= 47 -3n
Step-by-step explanation:
44, 41, 38, 35, 32
This is AP with 1st term of 44 and common difference of -3
nth term of this AP:
aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3naₙ= 47 -3nsuppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number. 16 POINTS ITS ALL I GOT PLEASE HELP ME
Answer:
not worth it
Step-by-step explanation:
What is the solution set of 2 x(x-1) =3?
Answer: x=3
Step-by-step explanation:
What is the circumference of the circle shown below? (Round your answer to
the nearest tenth.)
A. 93.0
B. 121.2
C. 46.5
D. 76.8
Answer:
C. 46.5
Step-by-step explanation:
The formula for circumfrence is:
C= 2*pi*r
You know that the radius is 7.4 so all you need to do is plug it into the formula and you should get approximately 46.49 or 46.5.
GIVING BRAINLIEST what is 97 - 56 + 12
Answer:
53
Step-by-step explanation:
When subtracting 97-56=41+12=53. The answer is 53. Consider using a calculator or mental math next time rather than asking it as a question.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
53
Step-by-step explanation:
97-56=41
41+12=53
Plzz help, I will mark brainliest m Answer needed fast.
Answer:
A=bh=21·13=273
Step-by-step explanation:
using this formula A=bh
place base in b, and the height or hypotenuse in A
Answer: A~267.96
Step-by-step explanation: Draw a height down from the top of the arrow to the base. USE the formula for the Area of a parallelogram A=bh (base x heght) find height using trig 13sin79 . Then multiply 21 x 12.76
what is the direct variation between x and y when x=4 and y=4/5
Answer:
4/5 = k (4)
Step-by-step explanation:
y=kx
4/5 = k (4)
A survey of students' pets were taken. If [tex]\frac{1}{4}[/tex] of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!
Answer:
32% of the students did not have a pet.
Step-by-step explanation:
From the total students (100%):
1/4 of them had a dog only, [tex]\frac{1}{4}=0.25=25\%[/tex]. Then, 25% had a dog only.20% only had a cat.15% had multiple pets.0.08=8% only had other than cats or dogs.Adding up all these cases, we obtain the proportion of students that had at least one pet: [tex]25\%+20\%+15\%+8\%=68\%[/tex]. Then, 68% of the students did have a pet.The rest of the students [tex]100\%-68\%=32\%[/tex], did not have any pet.The expression P(4, 3) is equal to:
-3!
-4!
- 1
Answer:
[tex]P(4,3) = 4![/tex]
Step-by-step explanation:
Given
P(4,3)
Required
Solve
Using permutation formula;
[tex]P(n,r) = \frac{n!}{(n-r)!}[/tex]
This implies that
[tex]P(4,3) = \frac{4!}{(4-3)!}[/tex]
[tex]P(4,3) = \frac{4!}{(1)!}[/tex]
[tex]P(4,3) = \frac{4!}{1!}[/tex]
[tex]P(4,3) = \frac{4!}{1}[/tex]
[tex]P(4,3) = 4![/tex]
Answer:
The answer is 4!
Step-by-step explanation:
I just got this question right
What additional information is needed to prove PMO is congruent to PNO by the HL Theorem?
Answer:
none
Step-by-step explanation:
so we have one of the legs
we have hypotenuse
because:
MP=PN for legs
and they have hypotenuse in common:
OP=OP
What is the area of the parallelogram
Answer:
A = 300 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 20 *15
A = 300 cm^2
The balance on Taylor's credit card is $2000. It has an interest rate of 12.5%. She wants to compare the difference between paying $75 and $100 of the monthly balance. How much does she save in interest and fees if she pays $100 instead of $75? Round to the nearest dollar. Enter your answer as a total in dollars, such as $134.
Answer: kindly check Explanation
Step-by-step explanation:
The balance on card = $2000
Interest rate = 12.5%
Therefore, monthly rate = 12.5% / 12 = 0.0104167
Paying $75 of monthly balance :
Interest amount on 2000 = 0.0104167 × 2000 = $20.83
Therefore,
Principal amount payed = 75 - 20.83 = 54.17
Balance = ($2000 + $20.83) - $75 = 1945.83
Interest on balance = 0.0104167 × 1945.83 = $20.2691
Paying $100 of monthly balance :
Interest amount on 2000 = 0.0104167 × 2000 = $20.83
Therefore,
Repayment = 100 - 20. 83 = $79.17
Balance = ($2000 + $20.83) - $100 = 1920.83
Interest on balance = 0.0104167 × 1920.83 = $20.0087
Interest saved by paying $100 instead of $75
$20.27 - $20.00 = $0.27 = 27 cent
Answer:
$101
Step-by-step explanation:
Check link answer.
Help ASAP I need this one answered please please please
Answer:
Yes
Step-by-step explanation:
For 2 figures to be similar, the ratio of their corresponding must be the same, as well as their proportion. The simplification of their ratio gives us the scale factor of their corresponding sides. Also, their corresponding angles are congruent.
Looking at polygon LMNO and WXYZ, let's set the ratio of their corresponding side against each other to see if they would be equal to each other.
Thus, we have:
LM/XY = ON/WZ = MN/WZ = LO/ZY
35/10 = 35/10 = 63/18 = 63/18
It would give us a scale factor of 3.5
They are similar.
The answer is:
YES
LMNO ~ WXYZ
Scale factor = 3.5
Suppose A and B are 2 x 5 matrices. Which of the following are the dimensions of the matrix A + B? 2 x 5 10 x 10 7 x 7 7 x 1
Answer:
2 x 5
Step-by-step explanation:
When we add matrices, the dimensions of the matrices being added must be the same
A and B are 2 x 5 matrices so they are both 2 x 5 matrices
The output or the sum is also a 2 x 5 matrix
Calculate the original price of these items before the
percentage changes shown. Show all of your working.
a) A coat that costs £46.50
after a 7% price reduction
b) A jumper that costs £32.80 after a price increase of
6%
Answer:
50 and 30.94
Step-by-step explanation:
aThe coat cost 46.5 pounds after a 7 percent reduction
so we can write:
46.5⇒ (100-7)⇒ 93 percent x(the initial price) ⇒ 100 percentusing the proprtionality relation:
x= (100*46.5)/93 = 50
so the initial price of the coat is 50 pounds
bThe jumper costs 32.8 pounds after an increase of 6 percent
so:
32.8⇒(100+6)⇒ 106 percent x (the initial price)⇒ 100 percentusing proportionality:
x= (100*32.8)/106 = 30.94
the initial price is 30.94 pounds
Answer:
a. £50
b. £30.94
Step-by-step explanation:
100-7=93
x×93/100=46.50
x×93=46.50×100=4650
x=4650/93=50 £
b.
100+6=106
y×106/100=32.80
y×100=32.80×100=3280
y=3280/106≈30.94£
Drag steps in the given order to evaluate this expression. −3(−3+2)−6
Answer:
See Explanation Below
Step-by-step explanation:
Given
[tex]-3(-3 + 2) - 6[/tex]
Required
Drag the steps
Note that not all steps in the given diagram will be used;
Step 1: Perform Multiplication; 9 + -6 - 6
Step 2: Simplify: -3
Further Explanation:
Step 1 is gotten by opening the bracket;
[tex]-3(-3 + 2) - 6[/tex]
[tex]9 +-6 - 6[/tex]
Step 2 is gotten by solving step 1 further
[tex]9 +-6 - 6[/tex]
[tex]9 - 6 - 6[/tex]
[tex]9 - 12[/tex]
[tex]-3[/tex]
Given that the triangles shown below are similar, what is the value of X?
Answer:
24
Step-by-step explanation:
Each side from triangle AHM to triangle DPL is divided by 2
32/2 = 16
40/2 = 20
Therefore, 48 / 2 = 24
Answer:
x = 24 (Answer B)
Step-by-step explanation:
Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.
Thus the length of x is half of the corresponding side in the larger triangle, that is: x = half of 48, or x = 24 (Answer B)
A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?
Answer:
$325
Step-by-step explanation:
Let x be the price of the washer.
Let y be the price of the dryer.
x + y = 708
x = y + 58
Put x as y+58 in the first equation and solve for y.
y + 58 + y = 708
2y + 58 = 708
2y = 650
y = 650/2
y = 325
Put y as 325 in the second equation and solve for x.
x = 325 + 58
x = 383
The cost of the washer is $383.
The cost of the dryer is $325.
Answer:
Step-by-step explanation:
Cost of dryer = $ d
Cost of washer = d + 58
Total cost = $ 708
d + (d + 58) = 708
2d + 58 = 708
2d = 708 - 58
2d = 650
d = 650/2
d = 325
Cost of washer = 325 + 58 = $ 383
Cost of dryer = $ 325
A crew of highway workers paved 15 mile in 18 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
5/6 miles
Step-by-step explanation:
If they can pave 15 miles in 18 hours, they will pave and 18 of the miles in an 18 of the time, as 1/18 is an eighteenth. This means they will pave 15/18 miles, which simplifies to 5/6 miles.