Answer:
C & D
Step-by-step explanation:
x² + 3x - 3 = 0
a = co efficient of x² = 1
b= co efficient of x = 3
c = constant = -3
roots = (-b ± [tex]\sqrt{b-4ac}[/tex])/2a
= (-3±[tex]\sqrt{3^{2}-4*1*[-3]}[/tex] )/2*1
= (-3±[tex]\sqrt{9+12}[/tex])/2
= (-3±√21)/2
[tex]x = \frac{-3+\sqrt{21}}{2} ; x =\frac{-3-\sqrt{21}}{2}[/tex]
Solve for x. 9^x = sqrt 729 A.)1/4 B.)1/3 C.)3/4 D.)3/2 please help this is urgent!!!
Answer:
D
Step-by-step explanation:
Using the law of radicals/ exponents
[tex]\sqrt{a^{3} }[/tex] ⇔ [tex]a^{\frac{3}{2} }[/tex]
Consider the right side
[tex]\sqrt{729}[/tex] = [tex]\sqrt{9^{3} }[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Thus
[tex]9^{x}[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Since the bases on both sides are equal, equate the exponents, so
x = [tex]\frac{3}{2}[/tex] → D
Fuel x cost $2 per gallon and fuel y cost $3 per gallon. You have at most $18 to spend on fuel. Write a system of linera inequalities to represent this situatiom
Answer:
[tex]2x + 3y \leq 18[/tex]
Step-by-step explanation:
Given :
fuel x is $2 i.e $2x
fuel y is $3 i.e $2y
As mention in the question the cost will be almost $18 to spending the fuel
So
Linear equation can be written as
[tex]2x + 3y \leq 18\\\ where\ x\geq 0\ and\ y\geq 0[/tex]
Answer:
2x + 3y <= 18, x >= 0, and y >= 0
Step-by-step explanation:
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below.
Answer:
complementary
b = 45 deg
Step-by-step explanation:
Angles b and 45-deg are complementary since their measures ad to 90 deg.
45 + b = 90
b = 45
Answer:
Complementary
45°
Step-by-step explanation:
b + 45° = 90°
b = 90° - 45°
b = 45°
Can somebody please help me!!
Step-by-step explanation:
Simply you replace X and Y by their values
Given: x=-1 y=-4
10 - (-X)^3 + y^2
=10 + X^3 + Y^2
Now replace X and Y
=10 + (-1)^3 + (-4)^2
=10 - 1 + 16
= 25
A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip with empty cars. What is the train's average speed for the entire trip
Answer:
24mph
Step-by-step explanation:
Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)
The train's average speed for the entire trip is equal to 25 mph.
Given the following data:
Distance A = 20 milesTime A = 1 hourDistance B = 30 milesTime B = 1 hourTo determine the train's average speed for the entire trip:
First of all, we would find the total distance and total time for the trip respectively.
For total distance:
[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]
Total distance = 50 miles
For total time:
[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]
Total time = 1 hour
Mathematically, average speed is given by the formula:
[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]
Average speed = 25 mph.
Read more: https://brainly.com/question/17742679
Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+8)°m∠z=(133−6n)° m ∠ x = ( 4 n − 18 ) ° m ∠ y = ( n + 8 ) ° m ∠ z = ( 133 − 6 n ) °
Answer:
67°
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.
Before we can get the exterior angle Z, we need to first calculate the value of n.
In geometry, the sum of interior angles is equal to the remote exterior angle.
m∠z = m∠x + m∠y
(133-6n)° = (4n-18)°+(n+8)°
133-6n = 4n-18+n+8
-6n-4n-n = -18-133+8
-11n = -143
n = 143/11
n = 13°
Since the exterior angle m∠z =(133-6n)°
Substituting n = 11 into the equation will give:
m∠z = 133-6(11)
m∠z = 133-66
m∠z = 67°
The remote exterior angle is 67°
Answer: 55
Step-by-step explanation:
R. Linda capital amount on january 1st was 151600 and there was an additional investment of 7600 on may 12 and withdrawls of 37900 for the year. Net income for the year was 24250. Prepare a statement of owners equity for the Lindal clinic for the year ended december 31
Answer:
$145,550
Step-by-step explanation:
R. Linda Clinic Statement of Owner's equity for the year ended, December 31.
Particulars
$
Beginning capital
151,600
Add additional
investment 7,600
Add net income
for the year 24,250
__________
183,450
Less drawings 37,900
_________
145,550
__________
Capital, December 31 (Ending capital )
The amount of $145,550 is the total owner's equity for the company.
Geometry help? prove triangle PQR~ triangle TSR
Answer:
Step-by-step explanation:
The third step's reason is given. Then you must make <QRP and <SRT congruent because all right angles are congruent. Then you have two angles in each triangle congruent and can thus prove the triangles congruent by AA.
Find the center and radius of the circle x2 + y2 –6y – 16 = 0
Answer:
centre=(0,3) radius =5
Step-by-step explanation:
For A (1, -1), B(-1,3), and C(4, -1), find a possible location of a fourth point, D, so that a
parallelogram is formed using A, B, C, D in any order as vertices.
Answer: c, b, a, d
Step-by-step explanation: that is correct
Two numbers are in the ratio 3: 7. If 1 is added to the smaller number and 7 is added to the larger, they will be in the ratio 1: 3. Find the numbers.
Answer:
6 and 14
Step-by-step explanation:
The numbers are in the ratio 3 : 7 = 3x : 7x (x is a multiplier )
adding 1 to smaller number is 3x + 1 and 7 to the larger is 7x + 7, then
3x + 1 : 7x + 7 = 1 : 3
Expressing the ratio in fractional form
[tex]\frac{3x+1}{7x+7}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3(3x + 1) = 7x + 7
9x + 3 = 7x + 7 ( subtract 7x from both sides )
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus the numbers are
3x = 3(2) = 6
7x = 7(2) = 14
need some help asap...............
Answer:
39.94 cmSolution,
ABCD is a rectangle.
Given,
AC= 64 cm
AB= 50 cm
To find: Value of other side of TV
since, ABCD is a rectangle
<B= 90°
Using Pythagorean theorem:[tex] {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {64}^{2} = {50}^{2} + {bc}^{2} \\ {bc}^{2} = {64}^{2} - {50}^{2} \\ {bc}^{2} = 4096 - 2500 \\ {bc}^{2} = 1596 \\ bc = \sqrt{1596} \\ bc = 39.94 \: cm[/tex]
Hope this helps...
Good luck on your assignment..
If T={x:X is an integer between 1 and 4} (A) List down the elements of set T in set notation. B write down the number of elements in set T . C list down all the subsets of set T.D separate the proper and improper subsets of T.
Answer:
The answer is given below
Step-by-step explanation:
A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}
B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2
C) The subsets of set T are {}, {2}, {3} and {2,3}
D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}
An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}
Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute? Answer-0.09 miles per minute
Answer:
-0.09 miles per minute
Step-by-step explanation:
Brian invests £2300 into his bank account.
He receives 10% per year simple interest.
How much will Brian have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
2783 pounds
Step-by-step explanation:
He has got 2300. The factor by which that is multiplied is 1,1 (+10%).
The time given is 2 years. We will calculate it by using equation:
[tex]2300*1.1^{2}[/tex]
2783
Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.
Answer:
The slope is [tex]s =[/tex] $0.1774 / pounds
Step-by-step explanation:
From the question we are told that
The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]
The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50
The weight of a Beagle is [tex]w_2 = 30 \ pound[/tex]
The cost of feed a Beagle per week is [tex]c_2 =[/tex]$9.20
Now the slope can be evaluated mathematically as
[tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]
substituting values
[tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]
[tex]s =[/tex] $0.1774 / pounds
Which ordered pair is a solution if the equation? 2x + 3y = 10
Answer:
See below.
Step-by-step explanation:
Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.
For example:
Try (2, 3):
2x + 3y = 10
2(2) + 3(3) = 10
4 + 9 = 10
13 = 10
Since 13 = 10 is a false statement, (2, 3) is not a solution.
Try (2, 2):
2x + 3y = 10
2(2) + 3(2) = 10
4 + 6 = 10
10 = 10
Since 10 = 10 is a true statement, (2, 2) is a solution.
Write the equation of the line perpendicular to 2x - 6y = 12 that passes through the point (-3,0).
slope intercept: y = 1/3x - 2
Answer:
y = -3x -9
Step-by-step explanation:
slope = 1/3
perpendicular slope = -3
y = mx + b
0 = -3(-3) + b
-9 = b
y = -3x -9
Answer:
y = -3x-9
Step-by-step explanation:
2x - 6y = 12
Solving for y we get
-6y = -2x+12
y = 1/3x -2
The slope is 1/3
Perpendicular lines have slopes that multiply to -1
m * 1/3 = -1
Multiply each side by 3
m * 1/3 * 3 = -1 *3
m = -3
The perpendicular line has a slope of -3
Using the slope intercept form
y = mx+b
y = -3x +b
And the point (-3,0) is substituted into the equation
0 = -3(-3) +b
0 = 9+b
B = -9
y = -3x-9
You purchase a $100,000 life insurance policy for a $300 premium each year. If the probability of living is 0.999, find the expected value for the insurance company.
Answer:
The expected value for the insurance company is $200
Step-by-step explanation:
In order to calculate the expected value for the insurance company we would have to make the following calculation:
expected value for the insurance company=expected value live+expected value die
expected value live=Net gain*probability of living
expected value live=$300*0.999=$299.70
expected value die=Net gain*probability of die
expected value die=(-$100,000 + $300)*0.001
expected value die=$-99.70
Therefore, expected value for the insurance company=$299.70-$99.70
expected value for the insurance company=$200
The expected value for the insurance company is $200
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify [Q - R] + [S - T].
10m - 7n - 14
10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
Answer:
The answer is 10m + 7n - 14
Step-by-step explanation:
Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
[Q - R] + [S - T] is
[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]
Solve the terms in the bracket first
That's
( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)
( 9m + 3n - 11 ) + ( m + 4n - 3)
Remove the brackets
That's
9m + 3n - 11 + m + 4n - 3
Group like terms
9m + m + 3n + 4n - 11 - 3
The final answer is
10m + 7n - 14Hope this helps you
The sum of three numbers is 84 The second number is 2 times the first. The third number is 16 less than the second. What is the second number?
Answer:
40
Step-by-step explanation:
First let x represent the first number.
Let 2x represent the second number.
Let 2x-16 represent the third number.
x + 2x + 2x-16 = 84
5x -16 = 84
5x = 84 + 16
5x = 100
Divide both sides of the equation by 5 so that x can stand alone.
[tex]\frac{5x}{5} = \frac{100}{5}[/tex]
x = 20
∴ First number = x = 20
Second number = 2x = 40
Third number = 2x - 16 = 24
What do I do please help
Answer:
The answer is y=1x+2
Step-by-step explanation:
Simply count up on both sides. Then take the number of increases between each y value and place it on top of the increase of the x value. Divide. To find the y-intercept, or "b", take the constant of the y and count back until the x is zero. For example, since the chart is consistently going up by 1s on each side, take the first "y" value, 3, and count one back to zero on the x. It is two.
Answer:
y=1x+2
Explanation:
You use the equation y=mx+b.
Here is how I got my answer
step 1: Find the slope by finding the change in y values and x values
x y
1 3
2 4
3 5
4 6
5 7
X=+1
Y=+1 you do the change of y over the change of x and get 1/1=1
So far in the equation now you have y=1x+b
Step 2:Solve for the b value by substituting the y and x variable with a value from the table
x y y=1x+b
1 3 3=1(1)+b-->3=1+b-->3-1=b+1-1-->2=b
2 4
3 5
4 6
5 7
Step 3: Plug in all the numbers you got into the equation y=mx+b
y=1x+2
Can someone help me with this question please.
Answer:
98
Step-by-step explanation:
3 bed house= 33 rooms
4 bed house 40 rooms
4 bed house 25 rooms
each house is worth 2 houses. so u double everything
hope I got it right
PLEASE HELP ASAP don’t have much time.
Answer: 4
Step-by-step explanation:
numerator - denominator
Numerator: w¹³ Denominator: w⁸ · w¹
13 - (8 + 1)
13 - 9 = 4
A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds), elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.
Answer:
a. 15 meters.
b. 20 meters.
Step-by-step explanation:
a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.
The ball will be 15 meters high.
b. The maximum height reached by the ball.
To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.
In this case, a = -5 and b = 20.
-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.
Then, we find the y-coordinate by putting 2 where it says "t".
h(2) = 20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.
Hope this helps!
Answer:
pen
Step-by-step explanation:
What is (14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b) simplified
Step-by-step explanation:
14.2a + 9.8b -13.1b + 0.2a - 3.7a -4.8b
= 14.2a + 0.2a -3.7a + 9.8b -13.1b -4.8b
= .......a + or - ....... b
The simplified form of the given expression is 10.7a-8.1b.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b).
Now, 14.2a+9.8b-13.1b+0.2a-3.7a-4.8b
Group like terms, that is
(14.2a+0.2a-3.7a)+(9.8b-13.1b-4.8b)
= 10.7a+(-8.1b)
= 10.7a-8.1b
Therefore, the simplified form of the given expression is 10.7a-8.1b.
To learn more about an expression visit;
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explain how to do this question plz
Answer: about 17.7%
Step-by-step explanation:
The area of a trapezoid is ((b1+b2)/2)*h
Thus, the area of the trapezoid is 85 meters squared. Thus, because the garden is 480 meters squared, the trapezoid occupies 85/480 of the garden, or about 17.7 percent.
Hope it helps <3
Answer:
17.7% rounded to the nearest tenth
Step-by-step explanation:
Well to find the percent of space the trapezoid takes up we need to find both areas.
To find the area of a Rectangle we do l*w.
So the l is 30 and the w is 16 so,
30*15 = 480m^2
To find the area of a Trapezoid [tex]\frac{b1 + b2}{2}h[/tex].
So b1 is 20 and b2 is 14,
14 + 20 = 34
34/2 = 17
17 * h
17 * (5) = 85m^2
So now we make a fraction of the areas of the trapezoid and rectangle,
[tex]\frac{85}{480}[/tex]
Now we simplify,
85/5 = 17
480/5 = 96
So 17/96 is in its simplest form so now we do 17/96 which is 0.1770833333
So to the following into a percent we move the decimal places 2 places to the right which is about 17.7% rounded to the nearest tenth.
What is the range of this function?
The range will be the set of all the outputs.
So that's going to be {-8, -3, 5, 7}.
Answer:
{-8, -3 , 5 , 7}Step-by-step explanation:
About domain and Range:Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
Someone answer quick please for brainliest !
Find the equation of the line that passes through (1,2) and is perpendicular to y=2x +3
Leave your answer in the form y=mx +c
Answer:
The equation of the line is
[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]
Step-by-step explanation:
Equation of a line is
[tex]y = mx + c[/tex]
Where m is the slope
c is the y intercept
y = 2x + 3
Comparing with the above formula
m is 2
Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .
That's
m = - 1/2
Equation of the line using point (1,2) and slope - 1/2 is
y - 2 = -1/2(x - 1)
y - 2 = -1/2x + 1/2
y = -1/2x + 1/2 + 2
The final answer is
[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]
Hope this helps you.
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:
Country Average monthly salary Standard deviation Original currency
the Czech Republic $1,059 $158.80 koruna
Latvia $790 $118.60 lat
Korea $2,245 $673.60 won
Romania $646 $96.80 leu
the United States $4,141 $1,242.20 dollar
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero
Answer:
a) highest z score
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .
Step-by-step explanation:
Let us calculate z-score corresponding to each country.
The z-score is given by
[tex]$ z = \frac{x-\mu}{\sigma } } $[/tex]
Czech Republic:
μ = $1,059
σ = $158.80
[tex]z = \frac{1500-1059}{158.80 } } \\\\z = 2.77[/tex]
Latvia:
μ = $790
σ = $118.60
[tex]z = \frac{1500-790}{118.60 } } \\\\z = 5.98[/tex]
Korea:
μ = $2,245
σ = $673.60
[tex]z = \frac{1500-2245}{673.60 } } \\\\z = -1.10[/tex]
Romania:
μ = $646
σ = $96.80
[tex]z = \frac{1500-646}{96.80 } } \\\\z = 8.82[/tex]
United States:
μ = $4,141
σ = $1,242.20
[tex]z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12[/tex]
Country z-score
Czech Republic 2.77
Latvia 5.98
Korea -1.10
Romania 8.82
The United States -2.12
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .