The value to the system of equations is (-10, -4)
How to determine the solution to the system of equations?In this case, the system of equations is given as
5x -10y = 10
x + 2y = -18
Make x the subject in the second equation
So, we have the following representation
x = -2y - 18
Substitute x = -2y - 18 in the equation 5x -10y = 10
So, we have
5(-2y - 18) -10y = 10
Open the brackets
This gives
-10y - 90 - 10y = 10
Evaluate the like terms
-20y = 80
Divide by -20
y = -4
Recall that x = -2y - 18
So, we have
x = -2 * -4 - 18
Evaluate
x = -10
Hence, the solution is (x, y) = (-10, -4)
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change this root into a power
Answer:
I think it would be 12^1/4
Step-by-step explanation:
I hope this is what you were asking for :)
Actual Unemployment Rate = 8%
Natural Unemployment Rate = 5%
What is the Cyclical Unemployment rate?
The Cyclical Unemployment rate is 3%.
What is unemployment?Unemployment simply means a scenario where those who are willing and able to work can't find suitable jobs.
Actual Unemployment Rate = 8%
Natural Unemployment Rate = 5%
The Actual Unemployment rate will be:
= Cyclical Unemployment Rate + Natural Unemployment Rate
8% = 5% + C
C = 8% - 5%
C = 3%
C = Cyclical Unemployment rate
The unemployment is 3%.
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Use the figure below for the following problems (not drawn to scale).
Given: m/1 = 70.
What is m25?
O a
.Ob
Oc
Od
125⁰
40°
70°
55°
2
76
The value of m∠5 is 125°. option A is the correct answer
From the question, we have
m∠1=70°
As the sides are equal.
∠2=∠3=(180°-70°)/2
= 55°
∠5 = 180°-55° (Linear pair)
= 125°
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this study? explain.
The correct choice is (a). The conclusion from the study is causality cannot be inferred because there is no control group.
Treatment in a study involves administering a stimulus, known as a treatment, to a group or portion of the sample while the rest of the sample is excluded from the stimulus. A successful treatment manipulation is one in which members of the treatment group perform better than members of the control group on the measures measured in study.
Given that the investigators collected data from a random sample of drivers and measured several variables, including the study's explanatory variables, it was possible to closely examine the cannot suggest a cause-and-effect relationship. No control group exists.
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Complete question:
A study was conducted on the effect of daytime running lights on cars. Researchers gathered data from a random sample of 3,248 drivers and measured quite a few variables, in addition to the explanatory variable of daytime running lights and the response variable of less accidents. According to a newspaper article summarizing the study, those cars that had daytime running lights were more likely to be operated by drivers who were confident and attentive. Drivers whose cars did not have daytime running lights were about 22% more likely to have an accident. What conclusion can we draw from this study? Explain.
a. We can infer a cause-and-effect relationship because the sample was selected randomly.
b. We cannot infer a cause-and-effect relationship because we do not have a control group.
c. We can infer a cause-and-effect relationship because multiple variables were included.
d. We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
e. We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly.
Answer:
We cannot infer a cause-and-effect relationship because treatments were not assigned.
Step-by-step explanation:
Got it right on test
My decimal is 300ths less than 3/10
Answer:
0.001? or -299.7
Step-by-step explanation:
so i don't have idea what do you meaning so
0,3:300=0.001 or 0,3-300=-299.7
so i think i help
PLSS HELP find x, y and z
The values of x, y and z in the angles are as follows
x = 30 degreesy = 15z = 150 degreesHow to find the angles on parallel line cut by a transversal?When parallel lines are cut by a transversal line, angle relationship are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles.
The parallel lines forms angles relationships.
Therefore,
x = 2y (alternate angles)
z = 2x + 90 (alternate angles)
Using substitution,
z = 2(2y) + 90
z = 4y + 90
x + 2x + 90 = 180 (sum of angles on a straight line)
3x = 180 - 90
3x = 90
x = 90 / 3
x = 30°
Hence,
30 = 2(y)
y = 30 / 2
y = 15
z = 4(15)+ 90
z = 60 + 90
z = 150°
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Pressure =
72 N
A
Calculate the force when the pressure is 18 N/m² and the area is 4 m².
Select your answer.
Force
Area
9.5 N
B
14 N
C
22 N
D
Pressure = Force/Area
According to question, we have
18 = Force/4
force = 72 N
if g (x) = 3x +5, for which value of x does g (x) =17?
Answer:
x = 4
Step-by-step explanation:
g (x) = 3x + 5
3x + 5 = 17
subtract 5 from both sides
3x = 12
divide by 3
x = 4
A new car is purchased for 27,100 dollars. The value of the car depreciates at a rate of 7% per year. Which equation represents the value of the car after 6 years?
In exponential relations, we can represents given values like this:
[tex]f(x)=a*c^x[/tex]
c = growth/decay factora = starting point/y-interceptSolving the QuestionWe're given:
27,100 dollars = starting pointDecay factor = 7% per year⇒ Plug this information into [tex]f(x)=a*c^x[/tex]:
[tex]f(x)=27,100*(0.93)^x[/tex]
Why input 0.93 and not 0.07? Let's think of it this way: To calculate the new price of the car after one year, we find 93% of 27,100.
The dependent variable is the price (y) and the independent variable is the time in years (x).
f(x) = pricex = timeTherefore, to find the value of the car after 6 years, we plug in 6 as x:
[tex]f(x)=27,100*(0.93)^6[/tex]
Answer[tex]V=27,100*(0.93)^6[/tex]
a sample is the set of all the people or objects whose properties are to be described and analyzed by the data collector.
The statement that "the sample is set of all people or objects whose properties , are to be described and analyzed by the data collector " is False .
In the question ,
it is given that ,
The sample is the set of all the people or objects whose properties are to be described and analyzed by the data collector .
But we know that the Population is defined as "set of all people or objects whose properties are to be described and analyzed by the data collector"
and the Sample is the Subset or subgroup of the population .
Therefore , the given statement is False .
The given question is incomplete , the complete is
State whether the statement is True or false "a sample is the set of all the people or objects whose properties are to be described and analyzed by the data collector " .
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Which of the following graphs are identical?
[tex]y = \sqrt{x} \\ y = \sqrt[3]{x} \\ y = \sqrt{ - x} \\ y = - \sqrt{x} \\ y = \sqrt[3]{x} [/tex]
We can easily see that two similar equation of under cube root of x.
So, the graph of cube root of x is identical.
Explain graph of under root x?
The graph of under root x is positive half of parabola, consist of origin (0, 0). Its symmetric on the positive x-axis.
Explain the graph of under cube of x?The graph of the cube root function f(x) = ∛x.Take the numbers -8, -1, 0, 1, and 8 in the x column calculate the cube root of each of these numbers, and fill them in the column labeled y. Then we have 5. Just plot them and join them by a curve. As this curve is not complete, just extend it on both sides.
According to given data in question:We can easily see that two similar equation of under cube root of x.
So, the graph of cube root of x is identical.
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Answer:
D F on edge
next one is A C D
Step-by-step explanation:
trust
What is the value of the expression -23 - 12 - (-33)?
A: -2
B: 22
C: -68
D: 44
Answer: -2 ==> A
Step-by-step explanation:
-23 - 12 - (-33) =
-23 - 12 + 33 = ==> subtracting by a negative number is basically adding by the positive number
-(23 + 12) + 33 =
-35 + 33 =
-(35 - 33)=-2 ==> A
Answer: -2
Step-by-step explanation:
Solve this equation using the "Distributive Property".
[tex] \sf 3(x - 2) = 21[/tex]
Answer:
x = 9
Step-by-step explanation:
Start by dividing both sides by the singular number, 3. We divide by 3 and not 21 because 21 is the result of the equation, not the coefficient.
[tex]\frac{3\left(x-2\right)}{3}=\frac{21}{3}[/tex]
We got 21 over 3 because you cannot divide 3 times an unknown number subtracted by 2 by 3. This is because we do not know the number. So that's where 21 comes in.
Next, simplify this equation by dividing whole numbers.
[tex]\frac{3}{3} = 1[/tex]
[tex]1\left(x-2\right) = \left(x-2\right)[/tex]
[tex]\frac{21}{3} = 7\\= x-2 = 7[/tex]
Lastly, add 2.
[tex]x - 2 + 2 = 7 + 2\\2 + 2 = 4\\7 + 2 = 9\\= x - 4 = 9\\x = 9[/tex]
Why x - 4 is 0: We assume x is always equal to 1, since 4 does not go into 1, the result would be 0. x - 0 = 0. Therefore, the problem became x = 9.
Hope this helps!
ASAP! exponent rules.
The error occurs in Litas work is in step 3 and step 4.
What is Exponential Function?An exponential function is a mathematical function of the following form:
f ( x ) = aˣ where x is a variable, and a is a constant called the base of the function.
The given expression is
25⁻⁴/(5⁻²)²
The given steps are
Step 1,
25⁻⁴/(5⁻²)²
Step 2,
(5²)⁻⁴/(5⁻²)²
Step 3,
(5²⁻⁴)/(5⁻²⁺²)
The step 3 is wrong because the exponents should be multiplied but not added.
The actual step should be
(5⁻⁸)/(5⁻⁴)
Hence the error occurs in Litas work is in step 3 and step 4.
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a sugar solution was made by mixing 8 gal of a 11% sugar solution and 4 gal of a 89% sugar solution. what is the concentration of the mixture ?
HELPPP so the man bought a tv worth $1,700, and then each week he continued to spend $700 weekly WHAT IS THE EXPRESSION???? HELP (variable is X)
Answer:
1700 - 700x
Step-by-step explanation:
assuming x is the number of weeks, the equation is 1700 - 700x equals the amount you are trying to solve for. You can say you are solving for y.
If 5x to the power of 7 times s = 20x to the power of 4, which expression is equivalent to z
The expression that is equivalent to x is ∛4/s
How to determine the equivalent of x?In this question, the mathematical statement of the equation is given as
5x to the power of 7 times s = 20x to the power of 4
When the mathematical statement is represented as an equation, we have the following representation
5x⁷ * s = 20x⁴
Divide both sides by x⁴
So, we have the following representation
5x⁷/x⁴ * s = 20x⁴/x⁴
Evaluate the quotients
This gives
5x³ * s = 20
Divide both sides by 5
x³ * s = 4
So, we have
x³ = 4/s
Take the cube root of both sides
x = ∛4/s
Hence, the solution is x = ∛4/s
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Malik wrote a total of 4 pages over 2 hours. How many hours will Malik have to spend this week in order to have written a total of 16 pages? Solve using unit rates.
Answer:
8 hours
Step-by-step explanation:
if it takes 2hrs to do 4 pages it takes an hour to do 2 pages
2*8=16
1*8=8
8 hours
hope it helps
Write an absolute value equation representing all numbers x whose distance from 1 is 11 units.
The absolute value equation representingnumbers all x whose distance from is 11 units is
|1 - x| = 11 What is absolute value?Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.
A number can never have a negative absolute value.
How to write the absolute value equationThe equation is written in the form below
|1 - x| = 11
removing the absolute value sign
1 - x = ± 11
solving for x for positive value
1 - x = 11
1 - 11 = x
x = -10
solving for x for negative value
1 - x = -11
1 + 11 = x
12 = x
The absolute value equation as required is |1 - x| = 11 the values of is 12 or -10
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The area of a rectangle i 223. 2 m2. If the length i 16 m, what i the perimeter of the rectangle?
The perimeter of the rectangle is 59.9 m.
The area of the rectangle is = 223.2 m²
the length(L) of the rectangle is = 16 m
we know that the area of the rectangle is given by
Area = Length x Breadth
A = LB
therefore ,
LB= 223.2
16 x B = 223.2
B = 223.2/ 16
B = 13.95 m
∴ breadth or the rectangle is 13.95 meter.
Now , we know that the perimeter of the rectangle is given by ,
(P) perimeter = 2( Length + Breadth )
P = 2(L + B)
P = 2( 16 + 13.95)
P = 2( 29.95)
P = 59.9 m
So the perimeter of the rectangle is 59.9 meter.
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what are the two related linear equations for |x – 2| = 5.
The two related linear equations for |x – 2| = 5 are x - 2 = 5 and x - 2 = -5
How to determine the related equations?From the question, we have the equation to be
|x - 2| = 5
This equation is an absolute value function
The general rule of an absolute value function is that:
An equation represented as y = |x| can be expressed as y = x or y = -x
Using the above guideline as a guide, we have the following representation of |x – 2| = 5
x - 2 = 5 and x - 2 = -5
Hence, the equations are x - 2 = 5 and x - 2 = -5
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PLEASE HURRY !! A cone has a radius of 10 inches and a height of 6 inches.
What is the volume of the cone to the nearest tenth in ³.
Use 3.14 to approximate pi
628 in^3
157 in^3
125.6 in^3
634in^3
Volume of the cone is 628 In^3
What is cone?
A cone can be seen as a set of non-congruent circular disks that are stacked on one another such that the ratio of the radius of adjacent disks remains constant.
Cones typically have pyramidal shapes with circular cross sections. A right cone is a cone with the vertex located above the base's middle. Right circular cone is another name for it. If you know the height and radius of a cone and plug those values into a formula, you can quickly determine the volume of a cone.
The volume of a cone defines the space or the capacity of the cone. A cone is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called apex or vertex. A cone is formed by a set of line segments, half-lines or lines connecting a common point, the apex, to all the points on a base that is in a plane that does not contain the apex.
According to the question
The volume of a cone = (1/3) πr2h cubic units
r=10 inch
h=6 inch
π=3.14
Volume=0.33(3.14)(10)(10)(6)
volume=628 [tex]inch^3[/tex]
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Complete the following statement. Write your answer as a decimal or whole number.
% of $58 = $58
Answer: 1.72
Step-by-step explanation:
There are 240 kids in primary school 2/5 of pupils come to school by car and 15% walk. The remainder came by bus. How many came by bus?
Answer:
132
Step-by-step explanation:
240/5=48
48*2=96
240-15%=204
240-204=36
96+36=132
The number of pupils who came by bus is 108.
Total number of kids in school = 240
Fraction of pupils who came to school by car = 2/5
Number of pupils who came to school by car = [tex]\frac{2}{5}[/tex] × 240
= 96
Percentage of pupils who came to school by walk = 15 %
Number of pupils who came to school by walk = [tex]\frac{15}{100}[/tex] × 240
= 36
Number of people who came by bus
=Total number of kids in school - number of pupils who came by car - number of pupils who came by walk
= 240 - 96 - 36
= 108
Therefore, the number of pupils who came to school by bus = 108.
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helppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:1/6.4, and there are 5.4 times as many pigs as cows.
Step-by-step explanation: In this scenario there are 64 animals, 54 pigs and ten cows. So the ration is 10/64, which can be simplified if you like to 1/6.4
There are 54 pigs for every 10 cows, which is the same as 5.4/1.
For every cow there is 5.4 pigs, so however many cows there are you can take that number and multiply it by 5.4 to get the number of pigs.
Answer:
5/32
5.4
Step-by-step explanation:
54:10 is the ratio of pigs to cows.
It could be assumed that there are 54 pigs and 10 cows.
Problem is asking for the ratio of cows to all animals. So,
Add up the pigs and cows to get 64 total animals.
Input the numbers to the ratio cows:all animals
10:64
Change to a fraction
5/32
How many times the number of cows is the number of pigs. This can be found by dividing the number of pigs by the number of cows.
54 / 10 = 5.4
The number of pigs is 5.4 times more than the number of cows.
Janette is placing a rectangle in the coordinate plane. She
knows that the longer side of the rectangle is 2 times its shorter
side. She places the longer side on the x-axis.
What coordinates should she assign to the top-right vertex of the
rectangle?
Enter your answer in the boxes.
Answer:
(2a,a)
Step-by-step explanation:
Hope this helps!
here is a line that includes the point (9,1) and has a slope of 1/9. what is its equation in slope intercept form?
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{9}}(x-\stackrel{x_1}{9}) \\\\\\ y-1=\cfrac{1}{9}x-1\implies {\Large \begin{array}{llll} y=\cfrac{1}{9}x \end{array}}[/tex]
what is 32 times 45 and what does uprising mean
The solution of the mathematical statement is 1440 and uprising is a change in direction of a point in the coordinate plane
How to evaluate the expression?From the question, we have the following mathematical statement that can be used in our computation:
"what is 32 times 45"
This means that
32 times 45
Express as numbers
So, we have
32 x 45
Evaluate the product
So, we have
1440
Hence, the result is 1440
The meaning of uprisingThere is no direct term for uprising in mathematics.
However, the closest synonyms to uprising is revolution (in this case, it is rotation)
Rotation (uprising) implies that we change the direction of a shape, figure or object.
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What type of polygon is this figure
Answer:
Step-by-step explanation:
kelsey has a bag full of jellybeans that weighs 3 1/2 pound. She gave her friend 1/3 of the bag. if she paid $2.58 per pound of jellybeans, how much money did she spend on the amount of jellybeans she gave away?
(PLUS 25 POINTS)
Answer: $3.01
Step-by-step explanation:
1. You first have to find out how much she spent for ALL the jellybeans, you find this by multiplying the pounds by the cost per pound.
(7/2)*(2.58)
Kelsey spent $9.03 for the 3 1/2 pound bag of jellybeans
2. You now have to find out how much she spent for 1/3 if the bag. You do this by multiplying the total cost by 1/3.
(1/3)(9.03)
3.01
ANSWER: Kelsey spent $3.01 on the amount of jellybeans she gave away.