subtract: 3a ( a+ b+ c) - 2b (a- b+ c) from 4c (-a + b + c)
Answer:
4c^2 - 3a^2 -7ac +6bc -ab
Step-by-step explanation:
solve first 3a( a + b + c) - 2b ( a+ b +c)
which is = 3a^2 + 3ab + 3ac - 2ab - 2b^2 -2bc
there for 4c(-a + b +c) -( 3a^2 + 3ab + 3ac - 2ab - 2b^2 - 2bc)
= -4ac-3ac +4bc+2bc -3ab+2ab + 4c^2 -3a^2
=4c^2 - 3a^2 -7ac +6bc -ab
Julio bought a backpack for $39.95 and 2 belts for $17.99 each. The sales tax is 6%. How much did Julio spend for all the items, including tax
Answer:
$80.49
Step-by-step explanation:
39.95 + 17.99 x 2
17.99 x 2 = 35.98
35.98 + 39.95 = 75.93
75.93 + 6% = 80.49
Write the standard form of the line that has a slope - 3/4 intercept of -2Include your work in your final answer Type your answer in the box provided or use the upload option to submit your solution
Use a sample n = 500, = 0.90, and a 95% confidence level to construct a confidence interval estimate of the population proportion, p.
0.887 < p < 0.913
0.878 < p < 0.922
0.874 < p < 0.926
0.817 < p < 0.983
Answer:
0.874 < p <0.926
Step-by-step explanation:
The population proportion lies in the interval 0.8738 < p < 0.9262 with 95% confidence.
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
Given, A sample having n = 500, p = 0.90, and we have to construct a 95% confidence interval.
We know the confidence interval for a population proportion is,
CI = [tex]P \pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1 - P)}{n}}[/tex].
CI = 0.9 ± 1.96×{√(0.9×0.1)/500}.
CI = 0.9 ± 1.96×√(0.09/500).
CI = 0.9 ± 1.96×0.0134.
CI = 0.9 ± 0.0262.
Therefore, 0.9 - 0.0262 < p < 0.9 + 0.0262.
0.8738 < p < 0.9262.
learn more about confidence intervals here :
https://brainly.com/question/29680703
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What is the perimeter of the quadrilateral if the two triangles are congruent using SSS
Answer:
20 units (I used units because that's what i was taught when there isn't a specific unit)
Step-by-step explanation:
If the triangles are congruent, that means that everything is congruent/the same. So what we do is, we set both equations equal to each other.
6x - 3 = 4x + 9
And now we simplify.
6x - 3 = 4x + 9
-4x -4x
--------------------
2x - 3 = 9
+3 +3
-------------------
2x = 12
÷2 ÷2
---------------
x = 6
To find the perimeter, just multiply 6 by 4 since there's four sides. 6 x 4 = 20
what is [tex]\frac{7}{200}[/tex] as a decimal
7/200 as a decimal is 0.035
Step-by-step explanation:Simply divide the numerator by the denominator:
= 7/200
= 7 ÷ 200
= 0.035
Pls be right will give brainliest
Answer:
The answer is D.
Step-by-step explanation:
HELPPPP!!!
Use the diagram to answer the question
help pls thanks huys
Answer:
12
Step-by-step explanation:
Let the unknown number be x.
8 = -4(1) + x
8 = -4 + x
x - 4 = 8
x = 8 + 4
x = 12
Answer:
[tex]a_{n}[/tex] = - 4n + 12
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then
[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12
PLEASE HELP FAST ILL GIVE BRIANLIST AND EXTRA POINTS!
What expression is equivalent to
Answer:
A
Step-by-step explanation:
Okay.
A negative exponent means we want to "flip" the term.
so we get
(1/-c^2)^1/3
When we get a fraction exponent, we want to "root" the term by that
so we get
[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]
Which simplifies to
[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]
Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]
simply 8/-4 dived by -3/9
Answer:
-6
Step-by-step explanation:
Can anyone plz help me
Answer:
They multiplied the exponents instead of adding.
Step-by-step explanation:
Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6
Answer:
when it says times it doesn't mean times the powers it means add
basically the first one is correct
What is diffusion
Explain how blood clots
When was the first world war fought
Answer:
Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.
Step-by-step explanation:
Erin owns 48 movies on DVD. Three eighths of the movies are comedies, 1/3 are dramas, 1/4 are action adventure, and the rest are science fiction. What part of her movie collection is science fiction?
Solve the inequality.
-12p -82-2(1 + 8p) – (6 - 4p)
How do u do this?
Answer:
If you were to factor this inequality the answer would be
-6(4p+15)
If you were to simplify this inequality the answer would be
-24p-90
I don't really know how your question is set up or how your teachers teach this but here are two possible answers. I hope this helps
i really need help,please. also happy holidays!
Answer:
D
Step-by-step explanation:
The speed of a motorcycle is changing according to the equation y = -2x +30, where x = the time in seconds
and y = the speed in miles per minute. Which is a true statement about this equation?
О O a
Ob
Ос
Od
It's not a linear equation, but its grapg is a straight line.
It is a linear equation, and its graph is a straight line.
It's not a linear equation and its graph is not a straight line.
it's a linear equation, but the graph is not a straight line
Answer:
The given line y = -2x +30 is a straight line as it is written in the
form y = mx + b.
The graph of the line y = -2x +30 is also straight and attached below.
Step-by-step explanation:
Given the equation
y = -2x +30
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
The graph of y=mx+b is a straight line as it is the line equation.Writing the equation in the slope-intercept form
y = -2x +30
y = mx + b
Thus,
m = -2
b = 30
Thus, the given line y = -2x +30 is a straight line as it is written in the
form y = mx + b.
The graph of the line y = -2x +30 is also straight and attached below.
What is the slope of the line represented by the equation y = 4/5x-3
Answer:
m = 4/5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define Equation
y = 4/5x - 3
Step 2: Break Function
Identify Parts
Slope m = 4/5
y-intercept b = -3
Ralph went for a drive in his new car he drove at a speed of 62.5 miles per hour for 5 hours how many miles did he drive
Answer:
in step by step
Step-by-step explanation:
Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.
The formula for distance problems is: distance = rate × time or d = r × t.
Things to watch out for:
Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.
Distance Problems: Given Total Time
Example:
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Solution:
Step 1: Set up a rtd table.
r
t
d
Case 1
Case 2
Step 2: Fill in the table with information given in the question.
John took a drive to town at an average rate of 40 mph. In the evening, he drove back at 30 mph. If he spent a total of 7 hours traveling, what is the distance traveled by John?
Let t = time to travel to town.
7 – t = time to return from town.
r
t
d
Case 1
40
t
Case 2
30
7 – t
Step 3: Fill in the values for d using the formula d = rt
r
t
d
Case 1
40
t
40t
Case 2
30
7 – t
30(7 – t)
Step 4: Since the distances traveled in both cases are the same, we get the equation:
40t = 30(7 – t)
Use distributive property
40t = 210 – 30t
Isolate variable t
40t + 30t = 210
70t = 210
210/70
Step 5: The distance traveled by John to town is
40t = 120
The distance traveled by John to go back is also 120
So, the total distance traveled by John is 240
Answer: The distance traveled by John is 240 miles.
NEED ANSWER FAST 13 POINTS!
Answer:option 2
Step-by-step explanation:
Answer:
im pretty sure its option number 2
3 lbs, 7 ounces = ____ ounces
Answer:
one pound is equal to 16 oz
(3x16= 48)
(48+7=55)
55 ounces
Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are proportional and equivalent to the unit rate (simplified constant rate of change): NUMBER OF TEXTBOOKS Number of Students Number of Textbooks 7 35 14 70 21 105 28 140
Given:
The table of values is
Number of Students : 7 14 21 28
Number of Textbooks : 35 70 105 140
To find:
The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.
Solution:
The ratio of number of textbooks to number of students are
[tex]\dfrac{35}{7}=5[/tex]
[tex]\dfrac{70}{14}=5[/tex]
[tex]\dfrac{105}{21}=5[/tex]
[tex]\dfrac{140}{28}=5[/tex]
All the ratios of the two quantities are proportional and equivalent to the unit rate.
Let y be the number of textbooks and x be the number of students, then
[tex]\dfrac{y}{x}=k[/tex]
Here, k=5.
[tex]\dfrac{y}{x}=5[/tex]
[tex]y=5x[/tex]
Hence the rate of change is constant that is 5.
HELP PLSS I NEED ANSWERS ASAPP :(((
Answer:
D;75ml
Step-by-step explanation:
1st water→30ml
1st oil→20ml
2nd water →Xml
2nd oil →50ml
30→20
X →50
cross multiply both equations
1500=20x
X=1500/20
X=75ml
11) -4, -1, -3
A) f(x) = x + 8x + 19x + 15
B) f(x) x + 8x? + 19x + 4
C) f(x)=r: 8x? 1 27x + 12
D) f(x) – xº +872 + 19x + 12
Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answer:
The required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Step-by-step explanation:
Given the zeros
-4, -1, -3
Zeros can be written as:
x = -4, x = -1, x = -3
Finding the factors
x = -4
x +4 = 0
x = -1
x + 1 = 0
x = -3
x + 3 = 0
Thus, the factor are:
(x+4) (x+1) (x+3)
The original function can be computed by multiplying the factors
[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]
as
[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]
so the expression becomes
[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]
Distribute parentheses
[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]
[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]
[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]
Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]
[tex]x^3+8x^2+15x+4x+12 = 0[/tex]
Add similar elements: [tex]15x+4x=19x[/tex]
[tex]x^3+8x^2+19x+12=0[/tex]
Thus, the required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.
10 A daycare serves apple slices to children at lunchtime. The table below shows how
many apples were cut up and served each day of the week in relation to the number
of children in attendance.
M
T
W
Th F
Children 24
30
28
26
19
Apples
18
20
21
18
10
Is there a proportional relationship between the number of children and the number
of apples in this situation? Explain your answer and provide the constant of
proportionality if there is one.
Answer: No, there isn't a proportional relationship.
Step-by-step explanation: In these type of problems, always divide. For it to be proportional, the number of children/ apple slices should be the same for all days. But it isn't, the value differs.
Answer:
3:2 is the proportional relationship
Step-by-step explanation:
20 points
How many 1 /3 ounce servings are available in 6 ounces
Answer:
18 servings
Step-by-step explanation:
What is the equation in slope intercept form of a line that passes through the point (-3,-11) and is parallel to the line y=2x-4?
Step-by-step explanation:
hey i hope this helps idk if its clear enough but yeah
if the measure of angle 6 is 28⁰ then the measure of angle 3 is
Answer: 62
Step-by-step explanation:
Every triangle’s angles add up to 180. since it’s a right triangle one of the angles is 90 degrees and the other is 28 degrees. so then you have to find the other angle which would made it add up to 180. which is 62.
28+90=118
180-118=62
Can some help me fast!
Answer:
5x +2y =38
5(6) +2y = 38
30 +2y= 38
2y= 8
y= 4
(6, 4)
5(0) +2y =38
2y= 38
y= 19
(0,19)
5(-2) +2y= 38
-10 +2y =38
2y= 48
y=24
(-2,24)
y = -4× - 5
y = -4× + 5
Answer:
No Solution
Step-by-step explanation:
None