Answer:
7
Step-by-step explanation:
Since, Sophia had three pages of homework and she only has three left you can set up an equation to solve. The equation would be 10=x-3, then you just solve the equation which would be 7, hope that helped.
Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x × (y × z) x – y = y – x (x y) z = x (y z) (x – y) – z = x – (y – z)
A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.
What is a Complex Number?A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.
As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.
A.) x+y=y+x
[tex]x+y=y+x\\a+bi+c+di=c+di+a+bi[/tex]
As the two sides of the equation are equal, the equation is true.
B.) (x × y) × z = x × (y × z)
[tex](x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)[/tex]
[tex](ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi[/tex]
As the two sides of the equation are equal, the equation is true.
C.) x−y=y−x
[tex]x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi[/tex]
As the two sides of the equation are not equal, the equation is not true.
D.) (x+y)+z=x+(y+z)
[tex](x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi[/tex]
As the two sides of the equation are equal, the equation is true.
E.) (x−y)−z=x−(y−z)
[tex](x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)[/tex]
As the two sides of the equation are not equal, the equation is not true.
Hence, all the statements are true except C and E.
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Solve the system by substitution.
y=4x-9
y=x-3
Answer:
(2, -1)
Step-by-step explanation:
Given
y = 4x - 9y = x - 3Solving
Substitute the value of one of the y values from the other equation4x - 9 = x - 33x = 6x = 2y = 2 - 3y = -1⇒ (2, -1)a trapezoid has a base of 32 inches and 14 inches and a height of 25 inches
Answer:
575 if your asking for the area
Step-by-step explanation:
100 points. Send notes for volume of prisms and cylinders - gradpoint
Answer:
V = Bh = πr2h
Step-by-step explanation:
I need help, question is in image.
A new car is purchased for $35, 000 and over time its value depreciates by
one half every 6 years. What is the value of the car 14 years after it was
purchased, to the nearest hundred dollars?
! Find the Length of AB
x = 7
hope it helps...!!!
two differences between hybris fruits and local fruits.
Answer:
Native vegetable varieties are being organically cultivated by local farmers for hundreds of years. It is always recommended to regularly consume native vegetables where you belong to. Hybrids on the other hand are superior varieties of same vegetable species artificially crossed & developed by humans.
Step-by-step explanation:
the ratio of angles in a triangle is 11:6:7. find the largest angle
Answer:
Step-by-step explanation:
Round 1 637, 984 off to: c) the nearest tenth
Answer:
1,637.984
hope this helps
Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.
Answer:
Lateral surface: 135.34
surface area: 185.61
Step-by-step explanation:
Lateral surface formula: AL=πrh2+r2
surface area formula: A=πr(r+h2+r2)
Find three different ways to write the number 437000 as a multiple of a power of 10
Answer:
4370*10^2
437*10^3
43.7*10^4
B. Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
3. 4[√(3)] - 7[√(3)]
[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]
Which expressions are equivalent? Check all that apply.
39
34
-9²
9
81¹
Answer:
-9²
81¹
They both are equal to 81.
HELP ASAP!!
Below is the graph of y equation y=-|x-2|+3. Use this graph to find all values of x given each statement.
a) -|x-2|+3>0
b) -|x-2|+3<0
c) -|x-2|+3=0
Thank you!
Answer:
Step-by-step explanation:
a) x<5 and x>−1
b)x<-1,x>5
c)x=5,x=-1
For the equation:
y=-|x-2|+3 values of x for below cases are :
a) -|x-2|+3>0 , x ∈ (-1 , 5)
b) -|x-2|+3<0 , x ∈ R - [-1 , 5] or x ∈ (-∞ , - 1) U ( 5 , ∞)
c)-|x-2|+3=0 , x ∈ {-1 , 5}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Graph of the equation:
⇒ y = -|x-2| + 3
To Find: Values of x in below cases:
a) -|x-2|+3>0
b) -|x-2|+3<0
c)-|x-2|+3=0
Solution:
a) -|x-2|+3>0
y=-|x-2|+3
⇒ y > 0
Hence, From the graph y > 0 when x ∈ (-1 , 5)
without using graph :
- |x - 2| + 3 > 0
3 > | x - 2|
| x - 2 | < 3
Case 1 : x - 2 > 0
x - 2 < 3
x < 5
Case2 : x - 2 < 0
x - 2 > - 3
x > - 1
b) -|x-2|+3<0
y=-|x-2|+3
y < 0
From the graph y > 0 when x < - 1 or x > 5
x ∈ R - [-1 , 5]
or, x ∈ (-∞ , - 1) U ( 5 , ∞)
without using graph :
-|x-2|+3<0
3 < | x - 2|
| x - 2 | > 3
case 1 : x - 2 > 0
x - 2 > 3
x > 5
case 2 : x - 2 < 0
x - 2 < - 3
x < - 1
a) -|x-2|+3=0
y=-|x-2|+3
y = 0
From the graph y = 0 when x = -1 and 5
x ∈ {-1 , 5}
without using graph :
-|x-2|+3=0
3 = | x - 2|
| x - 2 | = 3
case 1 : x - 2 = 3
x = 5
case 2 : x - 2 = - 3
x = - 1
Thus, For the equation: y=-|x-2|+3 values of x for below cases are :
a) -|x-2|+3>0 , x ∈ (-1 , 5)
b) -|x-2|+3<0 , x ∈ R - [-1 , 5] or x ∈ (-∞ , - 1) U ( 5 , ∞)
c)-|x-2|+3=0 , x ∈ {-1 , 5}
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What is the mistake NEED ANSWER ASAP
Answer:
The answers are in the image.
Step-by-step explanation:
Charlie made the mistake by not getting the equation equal to zero.
[tex]x^2 - 9x + 8 = 16[/tex]
Subtract 16 to both sides making it equal to 0.
[tex]x^2 - 9x - 8 = 0[/tex]
Using Quadratic Formula to Solve for x.
What is the best definition of area
Answer:
the region occupied in a plane is called area
Scott plans to cut wood with a chainsaw that operates on a fuel mixture of oil and gasoline.
• Scott knows the ratio for the mixture is 16 fluid ounces of oil for every 5 gallons of gasoline.
• Scott will create a mixture of the oil and gasoline and then fill the fuel tank of the chainsaw.
• The fuel tank of the chainsaw has a capacity of 12 fluid ounces.
.A full tank of the mixture allows Scott to operate the chainsaw for 40 minutes.
Part A
Scott has only 2 gallons of gasoline for the oil and gasoline mixture. How many fluid ounces of oil will Scott need to
add to the 2 gallons of gasoline to get the proper ratio for the mixture? Enter your answer in the first response box.
Answer:
It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix
In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?
Answer: 1/2
Step-by-step explanation:
I took the ixl and I put 1/3 but it was actually 1/2
The fraction of books which had 200 or fewer pages is given by A = 1/2
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Isabelle kept track of the number of pages in each book she read last summer
Now , let the box plot be represented as A
Now , the first and third quartile along with the median is given below ;
So , the fraction of books which had 200 or fewer books is given by A = 1/2
Hence , the box plot is solved and the fraction is A = 1/2
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There are 14 girls and 16 boys in Ms. Cherry's class. What is the ratio of girls to students in simplest form?
Answer:
7:15
Step-by-step explanation:
Total Students = 14+16 = 30
14:30
Divide by 2 on Both Sides
7:15
Answer: 7 to 15 hope it helps pretty Shure it will
Step-by-step explanation: I took the quiz
What are the zeros of the polynomial function f(x) = x3 + x2 − 42x?
A. −7, 6
B. −6, 7
C. −6, 0, 7
D. −7, 0, 6
Answer:
D. -7, 0, 6
Step-by-step explanation:
[tex]x^3+x^2-42x=0[/tex]
[tex]x(x^2+x-42)=0[/tex]
[tex]x(x^2-6x+7x-42)=0[/tex]
[tex]x(x-6)(x+7)=0[/tex]
ZEROS:
x = 0
x = 6
x = -7
Hope this helps!
Find the value of x.
Zack and Antonio are on the track team. Zack ran 108 miles over 9 weeks, running the same distance each week. Antonio ran 91 miles over 7 weeks, running the same distance each week. Which statement correctly compares the numbers of miles per week they ran?
Answer:
zack ran 17 more miles per week than antonio
Step-by-step explanation:
solve for w and y
w=
y=
Answer:
w=√200 (or 14.14)
y=20
yea pretty simple its just the Pythagorean theorem and the fact that a triangle with equal base angles is isosceles triangle
A typhoon at P is 382 km away from city H at 8 p.m. The compass bearing of P from H is N28°W and the typhoon moves in the direction S15°W at a constant speed of 28 km/h. Find the shortest distance between the typhoon and city H.
Correlation coefficients can test ______ variable(s) at a time. a. two or more b. only one c. one or more d. only two
Correlation coeffiencients is used to determine the relationships between data, Correlation coefficients can test two or more variable(s) at a time
What are correlation coefficients?This is a linear correlation between sets of data. This coefficient can only be between -1 and 1.
Positive values show a positive correlation while a negative value shows negative correlation. A correlation coefficient of zero shows no relationship between variables.
Based on the explanation, we can conclude that Correlation coefficients can test two or more variable(s) at a time
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Which of these fractions below are equivalent to 3/4?
A) 12/16
B) 6/8
C) 15/20
D) 20/28
E) 24/32
A? B? C? D? OR E?
5 starts the first person to answer me!!!
Hey there!
3/4
= 3 ÷ 4
= 0.75
= 75%
Option A.
12/16
= 12 ÷ 2 / 16 ÷ 2
= 6 / 8
= 6 ÷ 8
= 0.75
= 75%
Thus, this statement is: TRUE
Option B.
6/8
= 6 ÷ 2 / 8 ÷ 2
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option C.
15/20
= 15 ÷ 5 / 20 ÷ 5
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Option D.
20/28
= 20 ÷ 2 / 28 ÷ 2
= 10 / 14
= 10 ÷ 2 / 14 ÷ 2
= 5 / 7
= 0.714286
= 71.4286%
Thus, this statement is: FALSE
Option E.
24/32
= 24 ÷ 2 / 32 ÷ 2
= 12 / 16
= 12 ÷ 4 / 16 ÷ 4
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
Thus, this statement is: TRUE
Therefore, your answers are
• Option A. 12/16
• Option B. 6/8
• Option C. 15/20
• Option E. 24/32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
helpp meeee pleaseeee
Answer:
x≈49.457
y≈40.543
using trigonometry
Step-by-step explanation:
you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio
solve for x 13 + 7x = 27
Answer:
x=2
Step-by-step explanation:
1) -13 on each side (7x=14)
2) Divide by 7 on each side (x=2)
3) x=2
Bill would have the same amount of money as Angela if he gave her $8. If
Angela gave $8 to Bill, then she would have half the amount of money that
Bill has. How much money did Bill have at the beginning? How much did
Angela have in the beginning?
Answer:
in the beginning bill have 8$
Step-by-step explanation:
8$