22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?
Answer:
Juan- $238
Mary- $147
Step-by-step explanation:
if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.
find the HCF
eg. first expression = 4a -8
=4(a-2)
Answer:
Step-by-step explanation:
ab² + 2a²b + a³ = a(b² + 2ab + a²)
Here variable 'a' is common in all the terms. HCF = a
2) 2ab² = 2 * a * b *b
4a²b = 2 * 2 *a * a * b
6a³ = 2 * 3 * a * a * a
HCF = 2a
2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)
if (a+3,b-2=b-1,2a-3 then find the value of A and B
Answer:
a=5 and b=9
Step-by-step explanation:
(x, y) = (s, t) => x=s and y=t
Hence, a+3=b-1 and b-2=2a-3, solving we get a=5 and b=9
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, …
options :
27, 13.5, 22.5
72, 36, 144
72, 66, 264
27, 21, 30
Divide.
2.463÷104
24,630
0.2463
0.0002463
I don't know.
Answer:
0.023682692307692
Step-by-step explanation:
Above one is correct
Answer:
none of those answers are right the answer is 0.0236826923
Step-by-step explanation:
An interger p is two-third of another and their difference is 10.find the two interferes
Answer:
30 , 20
Step-by-step explanation:
Let the other number = x
[tex]p = \dfrac{2}{3}x\\[/tex]
x - p = 10
Plugin p = (2/3)x in this equation,
[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]
Multiply both side by 3
x = 10*3
x = 30
[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]
p = 20
Answer:
30 and 20
Step-by-step explanation:
We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so
p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )
3p - 2p = 30 , that is
p = 30
and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20
The 2 integers are 30 and 20
find the possible formula for the nth term of sequence 7 11 15 9
Answer:
7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.
hope this helped!!!
3(m+1)+1>7 what is m?
Look at image help plz!! Worth 30 points!
Answer:
t = Gx + a
Step-by-step explanation:
G = t - a/x (Given)
G(x) = (t - a/x)x (Multiply x on both sides)
Gx = t - a (Simplify)
Gx + a = t - a + a (Add a on both sides)
Gx + a = t (Simplify)
plzz help............
[tex]\frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
====================================================
Proof:
Apply the derivative to choice A. The goal is to prove the derivative is equivalent to the given integrand.
[tex]y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\\frac{dy}{dx} = \frac{4}{\pi}\left[\sin^{-1}(x)+\frac{x}{\sqrt{1-x^2}}-\frac{x}{\sqrt{1-x^2}}\right]-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\[/tex]
It's far from obvious, but we can apply a bit of algebra like so
[tex]\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-1\\\\\frac{dy}{dx} = \frac{4}{\pi}\sin^{-1}(x)-\frac{\pi}{\pi}\\\\\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\[/tex]
Next, we divide every term by 2. This is so we can replace the pi terms with pi/2
[tex]\frac{dy}{dx} = \frac{4\sin^{-1}(x)-\pi}{\pi}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\[/tex]
We do this to take advantage of the trig identity [tex]\sin^{-1}(x)+\cos^{-1}(x) = \frac{\pi}{2}[/tex]
So we'll be replacing every instance of "pi/2" with the left hand side of that equation just mentioned.
Therefore,
[tex]\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\frac{\pi}{2}}{\frac{\pi}{2}}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\left(\sin^{-1}(x)+\cos^{-1}(x)\right)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{2\sin^{-1}(x)-\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\[/tex]
This shows that differentiating the expression in choice A leads to the given integrand.
If we reverse all of the steps mentioned, then we can show that:
[tex]\displaystyle\frac{dy}{dx} = \frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}\\\\\\ \int\frac{dy}{dx}dx = \int\frac{\sin^{-1}(x)-\cos^{-1}(x)}{\sin^{-1}(x)+\cos^{-1}(x)}dx\\\\\\y = \frac{4}{\pi}\left[x*\sin^{-1}(x)+\sqrt{1-x^2}\right]-x+C\\\\[/tex]
since integrals and derivatives are tied together through inverse processes (one undoes the other more or less).
A city has a population of 240000 people. Suppose that each year the population grows by 5%. What will the population be after 8 years?
Answer:
354,589 people.
Step-by-step explanation:
Each year the population is 105% times the previous year.
105% = 1.05.
so in 8 years population will be:
240000*(1.05)^8
= 354,589.
Find XZ if Y is the midpoint of XZ, XY = 2a + 11, and YZ = 4a - 5
Answer:
XZ=54
Step-by-step explanation:
X___Y___Z
XY= YZ
2a+11=4a-5
4a-2a= 11+5
2a=16
a=16/2
a=8
XY=2a+11=2(8)+11=16+11=27
YZ=4a-5 = 4(8)-5=32-5=27
XZ=XY+YZ =27+27=54
I hope I helped you^_^
can someone please help me find the domain and range
Answer:
the domains are x axis or intercepts and range is y axis or intercepts
how many questions I have to ask?
Answer:
p is 16
Step-by-step explanation:
[tex]p \: \alpha {(q + 2)}^{2} [/tex]
introduce a constant on a right hand side:
[tex]p = k {(q + 2)}^{2} - - - eqn \: (a)[/tex]
[ when q is 1, also p is 1 ]
[tex]1 = k(1 + 2) {}^{2} \\ 1 = 9k \\ k = \frac{1}{9} [/tex]
substitute for k in eqn (a):
[tex]p = \frac{1}{9} (q + 2) {}^{2} [/tex]
so, when q is 10:
[tex]p = \frac{1}{9} (10 + 2) {}^{2} \\ \\ p = \frac{1}{9} (144) \\ \\ p = 16[/tex]
If p is true and q is false, the p->q is ____
true.
never
always
sometimes
Answer:
never
Step-by-step explanation:
p->q means if p is true, then q must also be true
but since q is false, p->q is never true
Answer: Never
Explanation:
The notation p -> q refers to a conditional statement.
Conditionals are only false when the first part (p) is true while the second part (q) is false. In other words, the template true --> false ultimately leads to a false statement. Otherwise, the entire thing is true.
In our case, we have something that fits the "true -> false" template, so that's why p -> q is never true when p = true and q = false.
find the square of 20.
Answer:
400
Step-by-step explanation:
[tex] {20}^{2} = 20 \times 20[/tex]
that is equal to 400
Answer: 400
Step by step explanation:
20*20= (2*2)*(10*10)= 4*100=400
how about you solve X2+4x-20=0 in algebra 1 explanation on how you got the answer
Answer:
x=−2+2√6 or x=−2−2√6
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+4x−20=0
For this equation: a=1, b=4, c=-20
1x2+4x+−20=0
Step 1: Use quadratic formula with a=1, b=4, c=-20.
x=
−b±√b2−4ac
2a
x=
−(4)±√(4)2−4(1)(−20)
2(1)
x=
−4±√96
2
x=−2+2√6 or x=−2−2√6
I’m confused because I don’t know what I would put for “What scale factor takes the original polygon to its smaller copy”.
The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.
When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.
Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:
[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]
Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.
For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.
This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.
So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.
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Need Help fast, with steps
Answer:The solution is in the attached file below
Step-by-step explanation:
NEED HELP PLEASE !!!
Answer: 7/64 inch is bigger by 1/64 inch difference
Step-by-step explanation:
STEP ONE: Convert the denominators into Least Common Multiple (LCM)
LCM of 32 and 64:
First 3 multiples of 32: 32, 64, 96
First 3 multiples of 64: 64, 128, 192
Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.
STEP TWO: Convert the fractions
3/32 = (3 × 2) / (32 × 2) = 6/64
7/64 = 7/64
STEP THREE: Compare the numerator to define the size of fractions
6 < 7, therefore, 6/64 < 7/64
7/64 - 6/64 = 1/64 inch
Hope this helps!! :)
Please let me know if you have any questions
If F(x) = 4x - 1 and G(x) = x2 + 7, what is G(Fx))?
Step-by-step explanation:
gof(x)= g(f(x))
gof(x)= g(4x-1)
gof(x)= (4x-1)²+7
gof(x)=16x²-8x+1+7
gof(x)=16x²-8x+8
How do write 200,403,926 in expanded form and in words
Answer:
two-hundred million,four-hundred and three thousand ,nine-hundred and twenty-six
Answer:
Answer below
Step-by-step explanation:
Expanded form: 200,000,000 + 400,000 + 3,000 + 900 + 20 + 6
This is when you split a number and write the value of each number
In words: two hundred million four hundred and three thousand nine hundred and twenty six.
HOPE THIS HELPED
In how many days could 20 boys do a peice of work which 25 boys can do in 32 days ?
baiiiiwiedujjjdjdhsb20
1/4 of a number is 6.What is 50% of that number?
Answer:28
Step-by-step explanation:
What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?
Answer:
y = -3/5x + 1
Step-by-step explanation:
We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and b = y-intercept.
4 = -5(-3/5) + b
4 = 3 + b
1 = b
With the information we know, we can input the values into the formula once again.
y = -3/5x + 1
Best of Luck
solve: y=3x and x+y=20
Answer:
x = 5, y = 15
Step-by-step explanation:
Use substitution to solve the system of equations.
We'll replace y in x + y = 20 with 3x, since y = 3x.
x + 3x = 20
Combine like terms
4x = 20
Divide by 4 on both sides
x = 5
Now to solve for y (don't forget!)
We'll plug x = 5 back into one of the original equations
y = 3(5) = 15
Check first equation:
15 = 3(5)
15 = 15
Check second equation:
5 + 15 = 20
20 = 20
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?
The percent of questions that are intermediate is approximately %
(Round to the nearest whole percent as needed.)
X
3
VE
The required percentage of the 30 intermediate-level questions is 20%.
Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.
the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%
Thus, the required percentage of the 30 intermediate level question is 20%.
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multiply : (5x+3a) (5x-3a)
Determine whether each situation is an example of inductive reasoning or deductive reasoning and explain why.
A. The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
B. On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Select the correct answer from each drop-down menu.
Statement A is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Statement B is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Answer: here it is
Step-by-step explanation:
Statement A is an example of inductive statement, whereas, statement B is a example of deductive statement.
What is inductive reasoning?Inductive reasoning is a method of reasoning in which a body of observations is considered to derive a general principle. It consists of making broad generalizations based on specific observations.
For example,
The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
What is deductive reasoning?Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false.
For example,
On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
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What's the value of u+ v
The hypothetical solution for the values of u + v = 3/10
The values of u and v aren't given in the question. However, giving an hypothetical solution to the problem.
Since we have an addition operator to be used on the values of u and v
Taking the values of u and v to be a real number such as :
u = 1/10 and v = 1/5
u + v = 1/10 + 1/5
Taking the L. C. M of 10 and 5;
L. C. M = 10
HENCE,
u + v = 1/10 + 1/5 = (1 + 2) / 10 = 3/10
Hence, the value of u + v = 3/10
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Answer: what??
Step-by-step explanation: