Answer:
[tex]y = \frac{2}{3} x + 5 \frac{2}{3} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
DIRECTIONS: Each number if 4 less than 3 times the previous number.
Starting with the number 10, build a sequence of 5 numbers.
Answer:
10, 26, 74, 218, 650
Step-by-step explanation:
n * 3 - 4
Answer:
The sequence of 5 terms is: 10, 26, 74, 218, 650
Step-by-step explanation:
By following the instructions, we can build the sequence by doing:
[tex]a_n= 3\,a_{n-1}-4[/tex]
So, using this formula and starting with 10 we get
[tex]a_1=10\\a_2=3\,(10)-4=26\\a_3=3\,(26)-4= 74\\a_4=3\,(74)-4=218\\a_5=3\,(218)-4=650[/tex]
what is the difference of fractions
What is the sum of 12 – 5i and –3 + 4i?
–16 + 63i
9 – i
9 – 9i
15 – 9i
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{9 - i}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{12 - 5i + ( - 3 + 4i)}[/tex]
When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses
[tex] \longrightarrow{ \sf{12 - 5i - 3 + 4i}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{ 12 - 3 - 5i + 4i}}[/tex]
Subtract 3 from 12
[tex] \longrightarrow{ \sf{9 - 5i + 4i}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{9 - i}}[/tex]
Hope I helped!
Best regards! :D
The sum of the given complex numbers is (9 - i) and this can be determined by using the arithmetic operations and the given data.
Given :
Complex numbers -- (12 - 5i) and (-3 + 4i)
The following steps can be used in order to determine the sum of the given complex numbers:
Step 1 - The arithmetic operations can be used in order to determine the sum of the given complex numbers.
Step 2 - The mathematical expression of the given situation is:
= (12 - 5i) + (-3 + 4i)
Step 3 - Add 12 and -3 in the above expression.
= 9 - 5i + 4i
Step 4 - Add -5i and 4i in the above expression.
= 9 - i
For more information, refer to the link given below:
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ILL MARK BRAINLIST !!
Assume that each circle shown below represents one unit. Express the shaded
amount as a single fraction and as a mixed number.
Answer:
3 1/11 as a mixnumber its 3/33
Evaluate 3a²b + 1–20 if a=-5, b=9, and c=-10.
Answer:
=656
Step-by-step explanation:
Evaluate for a=5,b=9
3(52)(9)+1−20
3(52)(9)+1−20
ps. there is no c
How much will a person pay for 1.4 pounds of bananas at a price of $2.34 per pound
Answer:
$3.276
Step-by-step explanation:
From the question, we are told that the price of banana is
1 pound = $2.34
1.4 pounds = $ y
Cross Multiply
1 pounds × $y = 1.4 pounds × $2.34
$y = 1.4 pounds × $2.34/1 pounds
$y = $3.276
Therefore, a person will pay $3.276 for 1.4 pounds of banana
8r – 4(7r – 5) what is the answer to this math problen
Answer:
-20+20
Step-by-step explanation:
8r-28r+20
-20r+20
Answer:
−20r+20
Step-by-step explanation:
Let's simplify step-by-step.
8r−4(7r-5)
Distribute:
=8r+(−4)(7r)+(−4)(−5).
=8r+−28r+20
Combine Like Terms:
=
8r+−28r+20
=(8r+−28r)+(20)
=−20r+20
What is the additive inverse of -17 ?
a) -16
b) -71
c) 17
d) 0
Answer:
c)17
Step-by-step explanation:
additive inverse example:Using the same approach, if x is a negative number, then its additive inverse is equal and opposite in sign to it. This means that the additive inverse of a negative number is positive. For instance, if x equals -12, then its additive inverse is y = 12.
1+1=??????????????????????????????
Answer:
2
Step-by-step explanation:
Order of Operations: BPEMDAS
B - Brackets
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Step 1: Add
1 + 1 = 2
solve the literal equation for y
3=5x+6y
Answer:
y=1/2-5x/6
Step-by-step explanation:
Answer:
y=1/2-5x/6
if this is helpful than good job
Denise bought a book that cost $9.95, a set of bookmarks that cost $1.95, and a magazine that cost $4.95. What was the cost of these three items all together before tax?
Answer:16.05 $
Step-by-step explanation: Put all the numbers in a vertical format and add them all up
9.95
+1.15
+4.95
--------
16.05
Which of the following is a quadratic equation that has the roots x = 3 and x = −4?
Answer:
x^2 + x = 12
Step-by-step explanation:
(x - 3)(x + 4) = 0
x^2 + 4x - 3x - 12 = 0
x^2 + x - 12 = 0
x^2 + x = 12
The quadratic equation that has the roots x = 3 and x = −4 will be x²+x-12=0.
Any equation using the formula ax² + bx + c = 0 When x is a variable and a, b, and c are any real values; a quadratic equation is one where a≠0.
It is given that the quadratic equation that has the roots x = 3 and x = −4.
We know that one such equation is provided by x²-(a+b)x+ab=0 if a and b are the roots of a quadratic equation.
x²-(a+b)x+ab=0
Substitute the value of an as 3 and b as -4.
x²-(3-4)x+(3)(-4)=0
x²-(-1)x-12=0
x²+x-12=0
Thus, the obtained quadratic equation will be x²+x-12=0.
Learn more about quadratic equations here:
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3x-2=2x+6 ayuda porfis
Answer:
x = 8
Step-by-step explanation:
3x - 2 = 2x + 6
3x - 2x - 2 = 2x - 2x + 6
x - 2 = 6
x - 2 + 2 = 6 + 2
x = 8
Answer:
x = 8
Step-by-step explanation:
move 2x to 3x and move -2 to 6
since its across the equal sign, it switches (postive to negative, negative to positive)
3x -2x = x
6 + 2 = 8
x = 8
:)
Juanita has 2 rolls of film with 36 exposures and 3 rolls of film with 24 exposures. How many photos can she take with this film? She can take ____ pictures.
Answer= 144
Step-by-step explanation:
Point B is the midpoint of point C and D. If CB is 14in, what is CD and BD?
Answer:
[tex]BD = 14\ in[/tex]
[tex]CD = 28\ in[/tex]
Step-by-step explanation:
Given
CB = 14in
B as midpoint
Required
Determine CD and BD
Since B is the midpoint, then the two line segments (CB and BD), we have the following relationships:
[tex]CB = BD[/tex]
[tex]CD = CB + BD[/tex]
Reorder the first equation
[tex]BD = CB[/tex]
Substitute 14 for CB
[tex]BD = 14\ in[/tex]
Taking the second equation into consideration
[tex]CD = CB + BD[/tex]
[tex]CD = 14 + 14[/tex]
[tex]CD = 28\ in[/tex]
20 POINTS HELP ASAP Which of the following expressions is equivalent to 18 m - 12? 2(-9 m + 6) -1(18 m + 12) 6(3 m - 2) -3(-6 m - 4)
Hey there! I'm happy to help!
The correct answer is 6(3m-2). This is because if you use the distributive property (multiplying outside number by each term in the parentheses) you end up with 18m-12
6(3m)=18m
6(-2)=-12
18m-12
The other answer options don't yield this result.
Have a wonderful day! :D
how many 0s are in the product of 4 x 100? 4 x 1,000? 4 x 10,000?
Answer:
the product of 4 x 100= 2 zeros
the product of 4 x 1,000= 3 zeros
the product of 4 x 10,000= 4 zeros
Step-by-step explanation:
4 x 100= 400, 2 zeros
4 x 1,000= 4,000, 3 zeros
4 x 10,000= 40,000, 4 zeros
Hope this helps!
Plz name brainliest if possible!
1 7/10 x 2/3 what is the product
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{1 \frac{7}{10} \times \frac{2}{3} }[/tex]
Convert the mixed number into improper fraction
[tex] \longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10} \times \frac{2}{3}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{17}{10} \times \frac{2}{3}}} [/tex]
To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term
[tex] \longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{34}{30}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{17}{15} }}[/tex]
Convert the improper fraction into mixed number
[tex] \longrightarrow{ \sf{1 \frac{2}{15} }}[/tex]
Hope I helped!
Best regards! :D
Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.
Answer:
(10)n =(9915)n
Step-by-step explanation:
An equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power could be as;
(10)n = 10(0.11515).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
We have to write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power.
Therefore, the equation could be as;
(10)n = 10(0.11515)
Hence, An equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power could be as;
(10)n = 10(0.11515).
Learn more about equations here;
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Which expression is equivalent to
36x^2 - 84x
answer choices
A. 12x (3x + 7)
B. 12 (3x + 7)
C. 12x (3x -7)
D 12 (3x -7)
The table shows conversions of common units of length.
Unit of Length
Customary System Units Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
Approximately how many inches are in 2500 millimeters?
064 inches
098 inches
O 635 inches
984 inches
Answer:
B. 98 inches
Step-by-step explanation:
Took the quiz on Edge 2020
It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) such as problem identification, analytical reasoning, and content integration skills. What other potential predictor variables, numerical and categorical, would you want to use that might lead to the development of a multiple regression model for predicting a student’s college GPA? Briefly describe the direction of the slope that each of these variables should have.
Answer:
apart from using the hoc to predict the college students gpa, some other variables can be used
1. the students intelligent quotient
2. ability to remember
3. study time
4. gym practice
Step-by-step explanation:
1. the students intelligent quotient
gpa has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.
2. ability to remember
the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction
3. study time
gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.
4. gym practice
gpa and gym practice are not related so the slope would be in a downward direction.
when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.
Johnson 15 Miller 40 Davis -20 Campbell -5 Winters 10 The rushing yards from one week for the top. A) -20, -5, 10, 15, 40 B) -5, -20, 10, 15, 40 C) -5, 10, 15, -20, 40 D) 40, 15, 10, -5, -20 5 quarterbacks in the state are shown. Put the numbers in order from greatest to least.
g(x) = x2 - 2
h(x) = 3x + 5
Find (g- h)(x)
Answer:
Brainliest PLS
g=x2−2/x
h=3x+5/x
x=5/h−3
Step-by-step explanation:
How many groups of 3/4 are in 3
Answer:
there are 12 fourths in 3
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7), what would be the coordinates of its image? (-1,7) O (-5,1) O(-9,5) O (-1, 13)
Answer:(-5,1)
Step-by-step explanation:! X= -3 so -3-4= -7, Y= 7 so 7+2=9, So the coordinates will be (-7,9) I hope that I could help you
What is the volume of a rock if it has a density of 1.25g/ml if it has a mass of 7525g?
Answer:
[tex]\boxed{\tt v= 6,020 \ mL}[/tex]
Step-by-step explanation:
The density formula is
[tex]d=\frac{m}{v}[/tex]
Rearrange the formula for v. Multiply both sides of the formula by v, then divide both sides by d.
[tex]d*v=\frac{m}{v}*v[/tex]
[tex]d*v=m[/tex]
[tex]\frac{dv}{d}=\frac{m}{d}[/tex]
[tex]v=\frac{m}{d}[/tex]
The volume can be found by dividing the mass by the density. The mass is 7525 grams and the density is 1.25 grams per milliliter.
[tex]m= 7525 \ g\\d=1.25 \ g/mL[/tex]
[tex]v=\frac{m}{d}[/tex]
[tex]v=\frac{7525\ g}{1.25\ g/mL}[/tex]
Divide. Note that the grams, or "g" will cancel each other out.
[tex]v=\frac{7525 \ }{1.25\ mL}[/tex]
[tex]v=6020 \ mL[/tex]
The volume of the rock is 6,020 milliliters.
Answer:
V = 6020
Step-by-step explanation:
will make it sure and simple
formula of density d = mass / volume
where d = 1.25 g/mL
and mass = 7525 g
plugin values into the formula
1.25 = 7525 / Vol
Vol = 7525 / 1.25
Vol = 6020
You found the prime factorization of the number 72 explain how you can check your answer you found the prime factorization of the number 70 to explain how you can check your answerYou found the prime factorization of the number 70 to explain how you can check your answer
Answer:
182=9=3×3 Hence we have two 3's as prime factors. The prime factorization for 72 is 2×2×2×3×3 .
Step-by-step explanation:
Can you please help with this question?
The model represents an equation. What value of X makes the equation true?
A) -15
B) -3
C) 15
D) 3
Answer:
D) 3
Step-by-step explanation:
-3x+6=2x-9
subtract 6 from both sides
-3x=2x-15
subtract -2x from both sides
-5x = -15
divide both sides by -5
x= 3
Tips for Rounding numbers to the ten thousands
Answer:
Focus on the thousands and the ten thousand
Step-by-step explanation:
Focus on the number before the ten thousand value.
Then check whether it is smaller or bigger than 5 .
if it is bigger add 1 to the ten thousand value. if it is smaller do not add anything to the ten thousands.
HOPE IT HELPED