Find the distance between the two points in simplest radical form. (3,8) and (5, -1)
Answer:
√85
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (5 - 3) = 2
(y2-y1) = (-1 - 8) = -9
Square the results and sum them up:
(2)2 + (-9)2 = 4 + 81 = 85
Now Find the square root and that's your result:
Exact solution: √85 = √85
Approximate solution: 9.2195
For what value of x does
[tex]4^{x}=(\frac{1}{8})^{x + 5} [/tex]
-15
-3
3
15
Write both sides as powers of 2:
[tex]4^x=(2^2)^x=2^{2x}[/tex]
[tex]\left(\dfrac18\right)^{x+5}=8^{-x-5}=(2^3)^{-x-5}=2^{-3x-15}[/tex]
Since both powers of 2 are equal, the exponents are equal:
2x = -3x - 15
5x = -15
x = -3
The mean life of a television set is 123 months with a standard deviation of 19 months. If a sample of 55 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by greater than 1.2 months? I just need help getting from 1 - P (-0.47 < z < 0.47) to the answer. In my lesson it says the next step is 0.3192 but I have NO CLUE where that number comes from. Please help me! Thank you!
Answer:
1- P(-0.47 < z < 0.47) = 0.63836
Step-by-step explanation:
Here, we want to get the answer to;
1-P ( -0.47 < z < 0.47)
Mathematically, we are going to use the standard normal distribution table for this
Let us try to evaluate;
P(-0.47 < z < 0.47)
Mathematically, that will be;
P (z < 0.47) - P(z < -0.47)
where P (z < -0.47) = P( z > 0.47)
so we have
P(-0.47 < z < 0.47) = P(z < 0.47) - P(z > 0.47)
So we have this using the standard normal distribution table as follows;
0.68082 - 0.31818 = 0.36164
Now, we can insert this in the earlier expression of;
1- P(-0.47 < z < 0.47)
= 1-0.36164 = 0.63836
A car rental agency charges $35 per day to rent a car and $12.95 per day for a global positioning system (GPS). Customers are charged for their full tank of gas at $3.90 per gallon. A car has a19 gallon tank and a GPS.
Answer:
The total cost for the rental is $122.05 for a day
Step-by-step explanation:
Here, we want to calculate the charges on a car with a 19 gallon tank and a gps
The charges are as follows;
$35 daily
$12.95 per day for GPS
$3.90 per gallon; for 19 gallons, we have 3.90 * 19 = $74.1
So the total cost incurred on the car rental will be;
$74.1 + $12.95 + $35 = $122.05
ldentifying the Type of Relationship
I NEED HELP!!
Indicate the data relationship for each table.
15
20
25
30
3
6
9
y
-1
-2
-3
2
4
5
6
y=-x
12
Table A
Graph
Table B
Equation
Answer:
CHECK IN THE OPEN
Step-by-step explanation:
9 ft
10.7 ft
12 ft
1.5 ft
11 ft
How much water will be needed to fill this pool 4 feet deep? Answer in cubic feet.
V=
its
Answer:
488 ft^3
Step-by-step explanation:
break into a big rectangle, small rectangle, and triangle to find their volumes
volume of big rectangle: 9x12x4= 432 ft^3
volume of small rectangle: 4x1.5x2= 12 ft^3
volume of triangle: find area 1/2(2x11)=11
multiply by debth 11x4=44 ft^3
add them up
what is 40 divided by 3.5 can someone help me, please!!
Answer:
11.4285714286
Step-by-step explanation:
Hope this helps :D
Dose anyone knows this one???
Answer:
D
Step-by-step explanation:
Q is at sea level
P is above
R is below
Answer:
The Answer is D
Can someone help me with number 4 plz I will give 30 points
Answer:
Yes
Step-by-step explanation:
Answer: No it is not linear
Step-by-step explanation:
As #of classes increase, free time deceases. Linear equation is when x increase, y also increases. So it is not linear.
What is 3x + 4y = 8 in slope-intercept form?
The equation 3x + 4y = 8 can be expressed in slope-intercept form as y = (-3/4)x + 2.
To express the equation 3x + 4y = 8 in slope-intercept form, we need to isolate y on one side of the equation. The slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.
Let's rearrange the given equation:
3x + 4y = 8
First, subtract 3x from both sides to isolate 4y:
4y = -3x + 8
Next, divide both sides by 4 to obtain y alone:
y = (-3/4)x + 2
Now, we have the equation in slope-intercept form, y = (-3/4)x + 2.
From this form, we can identify the slope, which is -3/4, and the y-intercept, which is 2. The slope represents the rate of change of y with respect to x, and the y-intercept represents the point where the line intersects the y-axis.
To learn more about the slope;
brainly.com/question/3605446
#SPJ6
Find the 12th term
1,4, 16, 64,
...
Step-by-step explanation:
for getting to next term you multiple 4, so it's an exponential sequence
a×r^n-1
1×4^n-1
sequence: 4^n-1
12th term: 4^12-1
=4^11
=4194304
hope it helps!!
Tyler's school sold 234 boxes of cookies. Each box holds 48 cookies. About how many cookies were sold by Tyler's school?
Answer:
Tylers school sold about 11,000 cookies ( it says about which means you have to estimate but its 11,232
Step-by-step explanation:
234 x 48 (brainliest please)
what is 10 1/7 divided by 5 as a fraction or mixed number?
The mixed fraction is 2 1/35.
what is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of pieces into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.Given:
fraction = 10 1/7 = 71/7
Now, we have to find the division
71 /7 ÷5
= 71 /7 x 1/5
=71 / 35
= 2 1/35
Hence, the mixed fraction is 2 1/35.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
Evaluate the expression when a=1/4 and b=6
Answer:
4.75/ 19/4
Step-by-step explanation:
a=1/4; b=6
12a+(b-a-4)=?
12(1/4)+(6-1/4-4)=?
3+1.75 or 7/4=?
=4.75 or 19/4
I'm not very sure but I tried lol
T.12345
Which table matches the equation y= 4x-3
А
B
с
D
х
у
х
у
х
у
Х
у
6
-21
6
21
6
-1.5
6
27
9
-33
9
33
9
-.75
9
39
10
-37
10
37
10
-.5
10
43
14
-53
14
53
14
.5
14
59
Answer:
B is the correct answer.
Step-by-step explanation:
The freezing point of water, T (measured in degrees fahrenheit), at altitude a (measured in feet) is modeled by the function T(a)= .0001a+32. In terms of altitude and temperature, which statement describes the meaning of the slope
Question options:
The boiling point increases by 18 degrees as altitude increases by 1000 feet
The boiling point increases by 1.8 degrees as the altitude increases by 1000 feet
The boiling point decreases by 18 degrees as the altitude increases by 1000 feet
The boiling point decreases by 1.8 degrees as the altitude increases by 1000 feet
Answer:
The freezing point increases by 0.1 degrees for every 1000 feet
Step-by-step explanation:
In the options given we have used it as a reference for our answer. The equation given in terms of temperature and altitude means that for every increase in altitude a(we have assumed here that a increases by 1000 feet each time as in options) there is increase in temperature by 0.1 degrees(freezing point)
True or false, there are two solutions to the equation |x-21|= -7
Answer:
false
Step-by-step explanation:
False, there are no solutions to the equation |x − 21| = −7 because the absolute value cannot be less than 0.
If your eyes change color answer below cause that's cool my eyes change color to.
also put they color that they change to
Answer: mine do, they turn hazel brown
Step-by-step explanation:
The expression 8+ (-3) is equivalent to
1.
3 + 8
2.
-8 + 3
3.
8-(-3)
4.
8- 3
Which graph represents a function?
20% of the elves in the workshop finished making their toys early. If 15 elves finished working early, how many elves were in the workshop in all?
Answer:
75
Step-by-step explanation:
If 15 elves finished early and %20 of the elves finished early, then that means 15 elves is %20. 20% can also be written as 1/5, so to get the whole, you just multiply by 5. 5*15=75
y+7=-2(x-1)
hurry plz
Answer:
y=-2x-5
Step-by-step explanation:
First of all, you have to distribute -2 to (x-1) to get to this equation y+7=-2x+2. Then, you subtract 7 on both sides to get the slope-intercept of y = -2x - 5.
Find (f•g)(1)
f(x) = x^2-1
g(x) = sqrt. X
Answer:
The correct option is;
a. 0
Step-by-step explanation:
The given parameters are;
f(x) = x² - 1
g(x) = √x
When carrying out operations in composite functions, we proceed as follows
[tex](f \circ g)(x) = f(g(x)) = f(\sqrt{x} ) = (\sqrt{x} )^2 -1 1 = x - 1[/tex]
Therefore, we have;
[tex](f \circ g)(1) = f(g(1)) = f(\sqrt{1} ) = (\sqrt{1} )^2 -1 1 = 1 - 1 = 0[/tex]
Therefore;
[tex](f \circ g)(1) = 0[/tex]
6/7 = 18/c slice the proportion
compare -3 and 9 which of the following are true
-16 + (-8)
(-4) - 7
-24 - (-9)
6.25 + (-8.50)
10.8 - (6.4)
-54.26 + (-15.42)
-1 1/2 + 2 7/10
5/8 - 1 7/8
1/4 - 7/8
The weight of oranges growing in an orchard is normally
distributed with a mean weight of 5.5 oz. and a standard
deviation of 1 oz. What is the probability that a randomly
selected orange from the orchard weighs more than 4 oz., to the
nearest thousandth?
Answer:
The probability is 0.933
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD
x = 4
mean = 5.5
SD = 1
z-score = (4-5.5)/1 = -1.5
So we proceed to get the probability
This is;
P( z > -1.5)
we can get this from the standard normal distribution table
That will be
P(z > -1.5) = 0.93319
To the nearest thousandth, this is 0.933
find the number that belongs in the green box.
round your answer to the nearest tenth.
Answer:
4.6
Step-by-step explanation:
Use sine rule to find the number that belongs to the box.
Thus:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
a = ?? (the number in the green box)
b = 5
A = 38°
B = 42°
Plug in the values
[tex] \frac{a}{sin(38)} = \frac{5}{sin(42)} [/tex]
Multiply both sides by sin(38)
[tex] \frac{a}{sin(38)} \times sin(38) = \frac{5}{sin(42)} \times sin(38) [/tex]
[tex] a = \frac{5 \times sin(38)}{sin(42)} [/tex]
[tex] a = 4.6 [/tex] (nearest tenth)
Complete the Table so there is a proportional relationship between the number of raspberries and their weight.
PLEASE HELP ME!!
Write a congruence statement for the figures shown.
Two separate triangles: first one has sides PQ with 1 slash, QR with 2 slashes, and PR with 3, angle P has 1 arc, Q has 2, and R has 3. The second triangle has sides GI with 1 slash, IH with 2 slashes, and HG with 3, angle G has 1 arc, I has 2, and H has 3.
Answer: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF.
Hope it helps
