Answer:
a) A-B = { 1 , 3, 5 }
b) The remainder is 50
c) f + g)(x) = x⁴+ 5x³
d) [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
Step-by-step explanation:
Step(I):-
1) a)
Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }
A - B = {1,3,5,7} - { 7,14,21}
A - B = { 1 , 3, 5}
b)
Given f (x)=3x³−11x−48
x-1 ) 3 x³ - 11x -48 (- 3x²-3x -2
-3x³ +3x²
3x²-11x-48
-3x²+9x
2x -48
-2x +2
50
The remainder is 50
c) Given f(x) = x³ and g(x) = x + 5
(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³
d)
Given function y = 3 + x²+x³y³ ...(I)
By using derivative formulas
y = xⁿ
[tex]\frac{dy}{dx} = n x^{n-1}[/tex]
Apply d/dx ( UV) = U V¹ + V U¹
Differentiating equation (I) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))[/tex]
[tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]
peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have
Answer:
peter = $54
jane = $36
Step-by-step explanation:
let peter = x
let jane = y
peter + jane = $90
x+y = 90 --------- (1)
peter gave jane $16 = x-16
jane gets extra $16 from peter = y+16
peter would have $14 less than jane
jane - peter = $14
(y+16)-(x-16) = 14
y+16-x+16 = 14
y-x+32 = 14
y-x = 14-32
y-x = -18 ---------- (2)
x+y = 90 --------- (1)
y-x = -18 --------- (2)
from (1)
x+y = 90
y = 90-x --------- (3)
substitute (3) into (2)
y-x = -18
90-x-x = -18
90-2x = -18
-2x = -18-90
-2x = -108
x = 54
substitute x = 54 into (3)
y = 90-x
y = 90-54
y = 36
x = peter = $54
y = jane = $36
help meeeeeeeeeeeeee
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation: If we are relating the flour to the cookies it would simply be 48/3. It takes 3 cups of flour to make 48 cookies, so we know that each cup provides 16 cookies.
2. 11d = 121
What is the algebraic equations
What is the y-intercept of the graph of 4y = 2x + 8?
4
2
6
00
N
Answer:
2
Step-by-step explanation:
4y = 2x + 8
First get the equation in slope intercept form y= mx+b where m is the slope and b is the y intercept
Divide each side by 4
4y/4 = 2x/4 +8/4
y = 1/2x +2
The slope is 1/2 and the y intercept is 2
Answer:
2
Step-by-step explanation:
Manipulate your equation into slope-intercept form: y = mx + b, where b is the y-intercept.
To do this, divide 4 from both sides:
[tex]y=\frac{1}{2} x+2[/tex]
b = 2
Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist
Answer:
B
Step-by-step explanation:
The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.
Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.
What is the measurement of Angle x. please explain
What are the two methods for finding the constant of proportionality when given a table
Answer:
If the ratio of one variable to the other is constant, then the two variables have a proportional relationship, If x and y have a proportional relationship, the constant of proportionality is the ratio of y to x.
Step-by-step explanation:
I NEED HELP ASAP PLZ
first one
Step-by-step explanation:
Answer:
1/2 is the answer
Step-by-step explanation:
A boat traveled 12 miles in 30 min. At this rate, how many miles will the boat travel in 3 hours?
.
- 7(6 + d) = 49
Need help
Answer:
d=-13
Step-by-step explanation:
Let's solve your equation step-by-step.
−7(6+d)=49
Step 1: Simplify both sides of the equation.
−7(6+d)=49
(−7)(6)+(−7)(d)=49(Distribute)
−42+−7d=49
−7d−42=49
Step 2: Add 42 to both sides.
−7d−42+42=49+42
−7d=91
Step 3: Divide both sides by -7.
−7d−7=91−7
d=−13
Hope this helps have an amazing day :))
Hello I will give BRAINLIEST to whoever answers:)
if anybody can answer this quickly; please do!
Answer:
The answer is D
Step-by-step explanation:
I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.
pls pls pls pls help
Answer:
im guessing it says they give $5 to the father
if that is the case then the answer is c
Step-by-step explanation:
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from water used to irrigate the region, 18 tested positive for salmonella. In an independent sample of 476 cultures obtained from the region’s wildlife (e.g., birds), 20 tested positive for salmonella. Is this sufficient evidence for the USDA to conclude that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife? Assume the significance level of 0.01.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 252[/tex]
The number that tested positive is [tex]k_1 = 18[/tex]
The second sample size is [tex]n_2 = 476[/tex]
The number that tested positive is [tex]k_2 = 20[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
Generally the first sample proportion is mathematically represented as
[tex]\^ p _1 = \frac{k_1 }{ n_1 }[/tex]
=> [tex]\^ p _1 = \frac{18 }{ 252 }[/tex]
=> [tex]\^ p _1 = 0.071[/tex]
Generally the second sample proportion is mathematically represented as
[tex]\^ p _2 = \frac{k_2 }{ n_2 }[/tex]
=> [tex]\^ p _2 = \frac{20 }{ 476}[/tex]
=> [tex]\^ p _2 = 0.042[/tex]
The null hypothesis is [tex]H_o : p_1 - p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 - p_2 \ne 0[/tex]
Generally the test statistics is mathematically represented
[tex]z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }[/tex]
=> [tex]z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }[/tex]
=> [tex]z = 1.56[/tex]
From the z table the area under the normal curve to the right corresponding to 1.56 is
[tex]P(Z > 1.56 ) =0.05938[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.56 )[/tex]
=> [tex]p-value = 2 * 0.05938[/tex]
=> [tex]p-value = 0.1188[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion?
a) Your results are significant; one's willingness to wear masks is not independent of one's age. b)Your results are significant; one's willingness to wear masks is independent of one's age.
c)Your results are not significant; one's willingness to wear masks is independent of one's age.
d) Your results are not significant; one's willingness to wear masks is not independent of one's age.
Answer:
The statistical conclusion is:
a) Your results are significant; one's willingness to wear masks is not independent of one's age.
Step-by-step explanation:
From this experiment,
The null hypothesis is established as:
H 0 = one's willingness to wear masks is independent of one's age.
The alternate hypothesis is established as:
H 1 = one's willingness to wear masks is not independent of one's age.
In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.
Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance. Thus, the null hypothesis is rejected.
Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.
WILL GIVE BRAINLIEST :)
Answer:
c
Step-by-step explanation:
it would have some exponent but its the only one that is constant
function or not a function
Answer:
That isn't a function because the ratio of those numbers doesn't equal.
Step-by-step explanation:
Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])
Answer:
(2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y - 3x = 1
2y - x = 12
Step 2: Rewrite Systems
y - 3x = 1
Add 3x on both sides: y = 3x + 1Step 3: Redefine Systems
y = 3x + 1
2y - x = 12
Step 4: Solve for x
Substitution
Substitute in y: 2(3x + 1) - x = 12Distribute 2: 6x + 2 - x = 12Combine like terms: 5x + 2 = 12Isolate x term: 5x = 10Isolate x: x = 2Step 5: Solve for y
Define equation: 2y - x = 12Substitute in x: 2y - 2 = 12Isolate y term: 2y = 10Isolate y: y = 525 points question is below
Answer:
x - 5y = 30
Step-by-step explanation:
If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway
What is an algebraic expression?
A. the operation between two number or letters
B. letters that represent numbers
C. a branch of mathematics
D. a combination of operations on letters and numbers
Answer:
d. a combination of operations on letters and numbers
Step-by-step explanation:
b is a variable and c can be all sort of things
Answer:
D. a combination of operations on letters and numbers.
Step-by-step explanation:
I NEED AN ANSWER QUICK! What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer. (And PLEASE show work)
Answer:
210 cm²
Step-by-step explanation:
Area of the surface having dimensions 6 cm × 11 cm
[tex]A_1[/tex] = 11 × 6 = 66 cm²
Area of the surface having dimensions 3 cm × 6 cm
[tex]A_2[/tex] = 3 × 6 = 18 cm²
Area of the surface having dimensions 7 cm × 6 cm
[tex]A_3[/tex] = 7 × 6 = 42 cm²
Area of the surface having dimensions 5 cm × 6 cm
[tex]A_4[/tex] = 5 × 6 = 30 cm²
Area of the trapezoidal surface on the top = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A_5[/tex] = [tex]\frac{1}{2}(11+7)3[/tex]
= 27 cm²
Area of the trapezoidal base [tex]A_6[/tex] = Area of the surface on the top = 27 cm²
Total surface area = [tex]A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27[/tex]
= 210 cm²
Therefore, total surface area of the trapezoidal prism = 210 cm²
The sum of 7 ⅓ and a number, n is 10 ⅜. What is the number?
Answer:
3 1/24
Step-by-step explanation:
to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).
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[tex]7 \frac{1}{3} + n = 10 \frac{3}{8} \\ [/tex]
[tex] \frac{21 + 1}{3} + n = \frac{80 + 3}{8} \\ [/tex]
[tex] \frac{22}{3} + n = \frac{83}{8} \\ [/tex]
Subtract sides 22 / 3
[tex] - \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8} \\ [/tex]
[tex]n = \frac{83}{8} - \frac{22}{3} \\ [/tex]
[tex]n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8} \\ [/tex]
[tex]n = \frac{249}{24} - \frac{176}{24} \\ [/tex]
[tex]n = \frac{249 - 176}{24} \\ [/tex]
[tex]n = \frac{73}{24} \\ [/tex]
[tex]n = \frac{72 + 1}{24} \\ [/tex]
[tex]n = 3 \frac{1}{24} \\ [/tex]
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Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me
Answer:
0.609663161
Step-by-step explanation:
(8/27)power5 = 5.57533755
(2/3)power7= 9.14494717
then, u just devide... from what i know
Answer:
It is 0.609663161
Step-by-step explanation:
Hope this helped have an amazing day!
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
Answer:
I think it’s is into fifths if I’m correct
Step-by-step explanation:
Write the equation in slope-intercept form that represents the line shown.
f(x) = 4x4-3x3–2x2-5 possible zeros
Answer:
f(x)= 1 correct me if wrong :)
Step-by-step explanation:
4 times 4 is 18
3 times 3 is 9
18-9=8
2 times 2 is 4
8-4=4
4-5=1
1. What is 4 to the power of 2 ?
2. What is 2 to the power of 4 ?
3. What is 8 to the power of 2 ?
4. What is 2 to the power of 8 ?
4²= 16
Work - 4 x 4 = 16
2⁴= 16Work - 2 x 2 x 2 x 2 = 16
8²= 64Work - 8 x 8 = 64
2⁸= 256Work - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2= 256
which of these number lines represents the difference -3-2
Answer:
Number line D
Step-by-step explanation:
That line goes from 0 to -3 and subtracts 2, as the equation shows.
Choose yes or no to tell wether the fraction and percent are equivalent
Answer:
1. No
2. Yes
3. No
4. Yes
Answer:
1. No 40/1000 = 4%
2. Yes
3. No 50/33 = 66%
4. Yes
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
Answer:
7040 Yards
Step-by-step explanation:
First, you have to divide 5280 by 3, to get 1760 yards
Then you have to multiply 1760 by 4
Finally, you should get the answer of 7040 yards :D
Answer:
The other person who answered it already explained it but the answer is 7,040
Step-by-step explanation: