Answer:
Work done = 3750 Joules
Step-by-step explanation:
The force acting in the body should be resolved to it's horizontal component before we can use ut to solve for the problem
Horizontal component= 150 * cos 60
Horizontal component= 150*0.5
Horizontal component= 75N
Work done= Force * distance
Work done= 75*50
Work done= 3750 Nm
Work done = 3750 Joules
Write the point-slope form of a linear equation that passes through the two point (3, −5) and (−1, 8)
Answer:
y + 5 = (-13/4)(x - 3)
Step-by-step explanation:
Going from (-1, 8) to (3, -5), x (the 'run') increases by 4 and y (the 'rise') decreases by 13. Thus, the slope of the desired line is m = rise / run = -13/4.
The point-slope formula is
y - k = m(x - h), and here m = -13/4, k = -5 and h = 3:
y + 5 = (-13/4)(x - 3)
A plot of land has vertices as follows, where each coordinate is a measurement in feet. find the perimeter of the plot of land (1,7),(7,7),(7,1),(1,1) A.24ft B.32ft C.16ft D.36ft
Answer:
D. 36ft
Step-by-step explanation:
Answer:
the real answer is 24 :)
Step-by-step explanation:
Do we ever use numbers to describe the values of a categorical variable?
Answer:
Yes
Step-by-step explanation:
Because A categorical variable can bexpressed as a number when statistical evaluation is intended, However, these numbers do not mean the same as a numerical value e.g giving numbers to waist sizes, test scores, grade level etc
Solve: -3= 12x - 5(2x - 7)
X = -19
19
71 =
=-11
10
11
I= 19
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3 = 12x - 5(2x - 7)}[/tex]
Distribute 5 through the parentheses
⇒[tex] \sf{ - 3 = 12x - 10x + 35} [/tex]
Collect like terms
⇒[tex] \sf{ - 3 = 2x + 35}[/tex]
Swap the sides of the equation
⇒[tex] \sf{2x + 35 = - 3}[/tex]
Move 45 to right hand side and change it's sign
⇒[tex] \sf{2x = - 3 - 35}[/tex]
Calculate
⇒[tex] \sf{2x = - 38}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{ - 38}{2} }[/tex]
Calculate
⇒[tex] \sf{x = - 19}[/tex]
Hope I helped!
Best regards!!
What is a square matrix
Answer:
A square matrix is a matrix with the same number of rows and columns.
Step-by-step explanation:
In mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order. Any two square matrices of the same order can be added and multiplied. Square matrices are often used to represent simple linear transformations, such as shearing or rotation.
Refer to Exercise probabilities. Find the following probabilities.
a. Two heads
b. One head
c. At least one head
d. At least two heads
Required:
Draw a probability tree to describe the flipping of three fair coins.
Answer:
Step-by-step explanation:
Probability is defined as the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
probability = n{E}/n{S}
n(E) is the total number of events
n{S} is the total number of sample space.
For a coin that is tossed 3times, the possible outcome are:
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
The total number of sample space is n(S) = 2³ = 8
n{S} = 8
a) probability of getting two heads.
Events E = {HHH, HHT, HTH, THH}
n(E) = 4
Pr(getting two heads) = 4/8 = 1/2
b) probability of getting one head.
Events E = {HTT, THT, TTH}
n(E) = 3
Pr(getting one head) = 3/8
c) probability of getting at least one head means probability of getting 1 head and more but not less than a head.
Events E = {HHH, HHT, HTH, HTT, THH, THT, TTH}
n(E) = 7
Pr(getting at least one head) = 7/8
d) probability of getting at least two heads means probability of getting 2 head and more but not less than 2 head.
Events E = {HHH, HHT, HTH, THH}
n(E) = 4
Pr(getting at least two head) = 4/8 = 1/2
Find the tree diagram in the attachment below.
solve for z? 2x-4y+4z-6w=4 6w-4x+4y-4z=-12 6w+4x-2y+6z=64 4z+2w+6y-4x=56
Answer:
9.22
Step-by-step explanation:
The calculation of z is shown below:-
Given that
2x-4y+4z-6w=4 .... (1)
6w-4x+4y-4z=-12 ..... (2)
6w+4x-2y+6z=64 ...... (3)
4z+2w+6y-4x=56 .... (4)
Here we need to decrease the equations with the help of canceling out a few variables.
Now we need to add equations 1 and 2 that is
(2x - 4x) + (-4y + 4y) + (4z - 4z) + (-6w + 6w) = 4 + 12
Now we solve the above equation
-2x + 0 = 16
-2x = 16
x = -8
Now, equation 2 minus 3
6w - 6w + (-4x - 4x) + 4y + 2y + (-4z - 6z) = 12 - 64
-8x + 6y - 10z = -52
Now we will put the value of x
-8(-8) + 6y - 10z = -52
64 + 6y - 10z = -52
6y - 10z = -52 - 64
6y - 10z = -116
3y - 5z = -58 ... 5
Equation 3 × 1 and equation 4 × 3
6w + 4x - 2y + 6z = 64 ..... (3)
4z + 2w + 6y - 4x = 56 .... (4)
6w + 4x - 2y + 6z = 64
12z + 6w + 18y - 12x = 168
Now we will subtract both equations that are
16x - 20y - 6z = -104
8x - 10y - 3z = -52
8(-8) - 10y - 3z = -52
-64 - 10y - 3z = -52
-10y - 3z = -52 + 64
-10y - 3z = 12 ....... (6)
equating 5 and 6 and solving that is
3y - 5z = -58 ... 5 × 10
-10y - 3z = 12 ....... 6 × 3
30y - 50z = -580
-30y - 9z = 36
we will add both equation
-50z - 9z = -580 + 36
-59z = -544
z = -544 ÷ -59
After solving z value we will get
= 9.22
Mari has 8 skirts and 12 pairs of jeans in her closet. Write the ratio of skirts to jeans in simplest form.
Answer:
2 : 3
Step-by-step explanation:
8 skirts : 12 jeans
Divide each side by 4
8/4 : 12/4
2 : 3
Answer: 8:12
Step-by-step explanation:
What is the value of the expression 9(2)+1•8?
Answer:
19.8
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
When we find the values of questions like this, we have to remember to use "PEMDAS".
Because multiplication comes before addition, we have to multiply first.
(Since there are two multiplication parts in the question, we start off by the first one.)
When we multiply both parts, we'll get:
[tex](18)+(8)[/tex], which equals to 26.
So, your answer is 26.
Which equation has only 1 solution? A. c+2=c+2 B. c= -c+2 C. c+2=c-2 D. c-c=2 Please explain.
Answer:
B. c= -c+2
Step-by-step explanation:
A. ...................
c+2=c+2 c-c= 2-20=0It has infinitely many solutions as the equation is correct for any value of c.
B. ...................
c= -c+2 c+c= 22c = 2c = 2/2c= 1It has one solution only
C. ...................
c+2=c-2 c-c= -2 - 20 = -4It has no solution as this equation is incorrect
D. ...................
c-c=20 = 2It has no solution as this equation is incorrect
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 46 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of daily phone calls numbering between 43 and 49
Answer:
P( 43 ≤ X ≤ 49) = 0.9545
Step-by-step explanation:
We are given mean of 46 and a standard deviation of 3
We want to find the percentage of daily phone calls numbering between 43 and 49. This can be written as;
P( 43 ≤ X ≤ 49)
Using the z-formula, we have;
z = (x - μ)/s
This transforms to;
P((43 - 46)/3)) ≤ Z ≤ ((49 - 46)/3))
This gives;
P(-2) ≤ Z ≤ P(2)
From z - table attached, P(-2) = 0.02275 and P(2) = 0.97725
Thus;
P( 43 ≤ X ≤ 49) = 0.97725 - 0.02275
P( 43 ≤ X ≤ 49) = 0.9545
POSSIBLE
The temperature on Mars ranges from -68°F during the day to - 176°F at night. Which temperature is not likely to be measured on Mars?
-76F
-100°F
- 150 °F
PLEASE RESPONDDD
Answer:
49 -- No. 71 U.S. Naval Base, Guantanamo Bay, Cuba Wednesday, June 23, 1993 ... them while developing possible options for the future fo the Gen URL Community. ... The Independence Day from the fall of 1993 to the Throughout the day, after ... *MARS Station. ... Add 40 to original temperature (F or C, doesn't matter). 2.
Answer:
49 -- No. 71 U.S. Naval Base, Guantanamo Bay
Step-by-step explanation:
For this item, any answers that are not whole numbers should be entered as a decimal, rounded to the tenths place. In the figure below, line AB, line CD, and line EF intersect at point Q. Line AB is perpendicular to line CD. Complete the following equations.
x =
m∠CQF =
m∠AQE =
Answer:
[tex] x = 10 [/tex]
m<CQF = 32°
m<AQE = 32°
Step-by-step explanation:
m<CQB = m<CQA = 90° (right angle)
m<CQB = m<CQF + m<FQB
m<CQF = 3x + 2
m<FQB = 58°
Therefore,
[tex] 90 = 3x + 2 + 58 [/tex]
Solve for x:
[tex] 90 = 3x + 60 [/tex]
[tex] 90 - 60 = 3x + 60 - 60 [/tex]
[tex] 30 = 3x [/tex]
[tex] \frac{30}{3} = \frac{3x}{3} [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
m<CQF = 3x + 2
Plug in the value of x to find m<CQF
m<CQF = 3(10) + 2 = 30 + 2
m<CQF = 32°
m<CQF and m<AQE are vertical opposite angles, therefore, they are congruent.
Thus,
m<AQE = 32°
Answer:
x = 10
m∠CQF = 32
m∠AQE = 58
Step-by-step explanation:
Given the function f(x) = 5(x+4) − 6, solve for the inverse function when x = 19. (1 point) 1 68 72 84
Answer:
x = 19, y = 1
Step-by-step explanation:
f(x) = 5(x + 4) - 6
y = 5(x + 4) - 6
inverse function:
switch x and y
x = 5(y + 4) - 6
solve for y
x = 5y + 20 - 6
x = 5y + 14
x - 5y = 14
-5y = -x + 14
y = (-x + 14)/-5
y = 1/5x - 2.8
plug 19 in for x
y = 1/5(19) - 2.8
y = 3.8 - 2.8
y = 1
Refer to the accompanying TI-83/84 Plus calculator display of a 95% confidence interval. The sample display results from using a simple random sample of the amounts of tar (in milligrams) in cigarettes that are all king size, non-filtered, non-menthol, and non-light. Express the confidence interval in the format of E.
(23.305,25.075)
mean = 23.69
n = 30
The confidence interval is__?__ + or -___?___.
Answer:
[tex]22.805 < \mu < 24.575\\[/tex]
Step-by-step explanation:
Given parameters
Z interval E = (23.305,25.075)
mean xbar = 23.69
number of samples n = 30
Required
we are to find the confidence interval for the Z interval given.
The formula for finding the confidence interval is expressed as shown below;
[tex]\overline x - E < \mu < \overline x + E[/tex] where;
xbar is the mean = 30
E is the margin of error
[tex]E = \frac{U-L}{2}[/tex]
U = upper limit = 23.305
L = lower limit = 25.075
[tex]E = \frac{25.075-23.305}{2}\\E = \frac{1.77}{2}\\E = 0.885[/tex]
The confidence interval is therefore expressed as [tex]23.69 - 0.885 < \mu < 23.69+ 0.885\\22.805 < \mu < 24.575\\[/tex]
Hence the confidence interval is expressed as [tex]22.805 < \mu < 24.575\\[/tex]
Reduce these answers to simplest form 13/41 + 27/82
Answer:
53/82
Step-by-step explanation:
Answer:
13/41 + 27/82
We reduce to the same denominator.
The common denominator is 82
=(13×2)/(41×2) + 27/82
= 26/82 + 27/82
to calculate the sum of two fractions that have the same denominator, just add the numerators between them .
= 53/82
Terry bought a television set, a digital camera and a DVD recorder.
The average cost of the digital camera and the DVD recorder was
$925. He spent an average amount of $1985 on the 3 items. How
much did the television set cost?
Answer:
$1060
Step-by-step explanation:
as the average amount of DVD and digital camera is $925 so the television cost:
$1985-$925
=$1060
mark rode his bike 22/8 miles. which mixed number shows the fraction of miles he rode his bike
Answer:
Hey there!
There aren't any options, but the correct answer would be 2 6/8, which simplifies to 2 3/4.
Let me know if this helps :)
22/8
8 goes into 22 twice:
8 x 2 = 16
22-16 = 6
22/8 = 2 6/8
6/8 can reduce to 3/4
22/8 = 2 3/4
I screenshot the question.
Answer:
17 34
24 58
31 89
38 127
45 172
52 224
59 283
62 345
69 414
76 490
83 573
Step-by-step explanation:
Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)
Then at the final answer you add the results to total pushups you get 573.
There is a faster way to do this using a formula, but probably will go over your head.
Evaluate x(y-z)2 for =-1,y=5,and z=
Answer:
The value of [tex]x(y-z)^2[/tex] is -16.
Step-by-step explanation:
We need to evaluate [tex]x(y-z)^2[/tex] for x = -1, y = 5 and let us assume that z = 1
It can be simply done by putting the values of x,y and z in the given expression.
[tex]x(y-z)^2=(-1)(5-1)^2\\\\=-1(4)^2[/tex]
We know that the value of 4² = 16
So,
[tex]x(y-z)^2=16\times -1\\\\=-16[/tex]
So, the value of [tex]x(y-z)^2[/tex] is -16.
Solve by using trial and error method : 2x + 3 = 13
How much should I leave for a tip?
Answer:
$8.40 tip and $56 bill = $64.40 (including tip)
Step-by-step explanation:
15% of 56 is 56*0.15 = 8.4 tip
5^3 x 2^5 x 10^2 as a product of prime
Answer:
2^7 × 5^5
Step-by-step explanation:
10 = 2×5, so your product is ...
5^3 × 2^5 × (2×5)^2
= 5^3 × 2^5 ×2^2 ×5^2
= 2^7 × 5^5
_____
If you remember that the exponent tells you how many times the base is a factor of the product, you should have no trouble with this.
5^3 × 2^5 × 10^2 = (5·5·5)(2·2·2·2·2)(2·5)(2·5) = 2^7 × 5^5
Some friends decided to equally split the cost of gas on their trip. The expression 3g/4 represents how much money each person had to pay in dollars for g gallons of gas. What does the expression 3g in the numerator represent?
A the cost per person
B the number of people splitting the cost of the gas
C the total cost of the gas before it was split among the friends
D the cost per gallon of gas
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Answer: The total cost of the gas before it was split among the friends.
Explanation: If they split it equally, they divide. 3g is divided by 4 so you know that there are 4 friends/people.
Since they are splitting the [total] amount of gas for 4 people, 3g must be the total cost of the gas.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Answer:
c
Step-by-step explanation:
i took the quiz
X^2-2x-48
Factor the polynomial
Answer:
x=1
x=-6
Step-by-step explanation:
I used my ti-84 plus ce calculator and that is the answer I got
>download quadsolv
>prgm
>quadsolv
>enter the equation
>solve
Answer:
= (x + 6) (x - 8)
Step-by-step explanation:
x² - 2x - 48
break the expression into groups:
= (x² + 6x) + (-8x - 48)
= x (x + 6) - 8(x + 6)
= (x + 6) (x - 8)
3 • { [ 4 ÷ 2 ] + 2 answer
Answer:
6+2=8
3×2+2=
6+2=8
good luck
(c) Find the exact values of s and t.
Answer:
u have to use cos san and tan?
i think sorry if im wrong
Step-by-step explanation:
2.
Find the LCM of the set of algebraic expressions.
Answer:
[tex] LCM = 70a^2b [/tex]
Step-by-step explanation:
The LCM of [tex] 10a^2, 35ab, 14b [/tex], is the smallest expression of which each of the algebraic expression in the given set is divisible by it.
To find the LCM, follow these steps:
Step 1: Express each of the algebraic expressions in as product of its factors
[tex] 10a^2 = 2*5*a^2 [/tex]
[tex] 35ab = 5*7*a*b [/tex]
[tex] 14b = 2*7*b [/tex]
Step 2: Find the product of each factors with the highest power
[tex] LCM = 2*5*7*a^2*b [/tex]
[tex] LCM = 70a^2b [/tex]
Two sides of a triangle measure 9 centimeters and 37 centimeters what could the length of the third triangle?
Step-by-step explanation:
One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.
If we add one and other side i.e. 9 cm + 37 cm = 46 cm
If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm
We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.
Thus, the third side could be between 46 cm and 28 cm.
pt 2 1-7, please help
Hi there! Hopefully this helps!
------------------------------------------------------------------------------------------------------
E = 1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]2e = 2[/tex]
Divide both sides by 2.
[tex]e = \frac{2}{2}[/tex]
Divide 2 by 2 to get, you guessed it, 1!