Answer:
A reflection over x - axis
Step-by-step explanation:
If f(-x) = f (x), (ie all the signs are the same), then the function is even
also, if f(-x) = -f (x), (ie all the signs are switched), then the function is odd.
Given;
h(x) = 12x + 49
Then test for h(-x);
h(-x) = 12(-x) + 49
h(-x) = -12x + 49,
Thus h(-x) ≠ h(x) and also h(-x) ≠ -h(x)
The function is neither odd nor even.
Therefore, a reflection over x - axis would result in a function that is neither even nor odd.
PLS HELP BEST ANSWER GETS BRAINLIEST Find the volume of the rectangular prism with edge lengths of 1/2, 2/3, and 4/3.
Answer:
4/9 cubic units
Step-by-step explanation:
The volume of a rectangular prism is the product of its edge lengths:
V = LWH
V = (1/2)(2/3)(4/3) = (1·2·4)/(2·3·3) = 4/9 . . . . cubic units
what is thirty two percent of fifty six
Answer: 17.92
Step-by-step explanation:
32% of 56
Change to fraction
32 /100 x 56
Change to decimal
0.32 x 56
= 17.92
what do 16 and 24 have in common
Answer:
both are positive even composite integers with a common factor of 8.
Step-by-step explanation:
Both are positive even composite integers with a common factor of 8. They are solutions to the quadratic equation (x-16)(x-24) = 0. Their cube roots (or any root of index greater than 2) are irrational. They are divisors of 48.
There are also many things that both numbers are not. They are not the lengths of sides of a right triangle with integer side lengths. They are not negative or irrational. They are not triangle numbers or elements of the Fibonacci sequence.
Andrew drove 45 more miles than Nicole. If they drove a combined total of 111 miles, how many miles did Nicole drive?
Answer:
Nicole drove 66 miles.
Step-by-step explanation:
You can set of an equation of 45 - x = 111 x representing the amount of miles Nicole drove. You would subtract 45 from both 45 and 111 and get that x = 66.
In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax returns. Use a 0.01 significance level to test the claim that 75% of adults say that it is morally wrong to not report all income on tax returns.a. What is the null and alternative hypothesis?b. What is the test statistic?c. What is the P-value?d. What is the Conclusion?
Answer:
a
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.75[/tex]
b
[tex]t = 2.51[/tex]
c
[tex]p-value = 0.01207[/tex]
d
There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 745[/tex]
The number that said it is morally wrong is [tex]k = 589[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The population proportion is [tex]p = 0.75[/tex]
Generally the sample proportion is mathematically represented as
[tex]\r p = \frac{k}{n}[/tex]
=> [tex]\r p = \frac{589}{745}[/tex]
=> [tex]\r p = 0.79[/tex]
The null hypothesis is [tex]H_o : p = 0.75[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.75[/tex]
The standard error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1-p)}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.75(1-0.75)}{745} }[/tex]
=> [tex]SE =0.0159[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\r p - p }{SE}[/tex]
=> [tex]t = \frac{0.79 - 0.75 }{0.0159}[/tex]
=> [tex]t = 2.51[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 2.51)[/tex]
From the the z-table
[tex]P(Z > 2.51) = 0.0060366[/tex]
=> [tex]p-value = 2 * 0.0060366[/tex]
=> [tex]p-value = 0.01207[/tex]
From the calculation [tex]p-value >\alpha[/tex]
Hence we fail to reject the null hypothesis
Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns
3x+8-X=57-4
Is 7 a solution to the question
Answer:
7 is not a solution for x.
Step-by-step explanation:
To see if 7 is a solution for x, we will simply plug in the value for x and see if the left hand side is equal to the right hand side.
3x + 8 - x = 57 - 4
3(7) + 8 - (7) ?= 57 - 4
21 + 8 - 7 ?= 53
29 - 7 ?= 53
22 ?= 53 (( NO ))
Since 22 does not equal 53, 7 is not a solution for x.
Let's find the solution for x:
3x + 8 - x = 57 - 4
2x + 8 = 53
2x = 45
x = 22.5
Let's validate this solution for x:
3x + 8 - (x) = 57 - 4
3(22.5) + 8 - (22.5) ?= 57 - 4
67.5 + 8 - 22.5 ?= 53
45 + 8 ?= 53
53 == 53 (( YES ))
Since 53 is indeed equal to 53, then 22.5 is a solution for x.
Cheers.
Answer:
No, 7 is not a solution. x=11.25
Step-by-step explanation:
To find whether 7 is a solution, we can plug it in as x.
3(7)+8-7=57-4
21+15=53
36=53
No, 7 is not a solution.
We can find the solution by solving out the equation normally
3x+8+x=57-4
2x+8=53
2x=45
x=22.25
what are the size of a penny
Answer:
0.75 inches is the correct answer
Answer:
0.75 inches
The coin is 0.75 inches (19.05 mm) in diameter and 0.0598 inches (1.52 mm) in thickness.
2. True False 6(10 + 5) - 6.10 + 6.5
[tex]10 + 5 - 6.10 + 6.5 \times 6[/tex]
Answer:
47.9Step-by-step explanation:
[tex]10 + 5 - 6.10 + 6.5 \times 6 \\ [/tex]
Follow PEDMAS
[tex]10 + 5 - 6.10 + 39[/tex]
[tex]15 - 6.10 + 39 \\ 15 + 39 - 6.10 \\ 54 - 6.10 \\ = 47.9[/tex]
What does a negative net worth indicate?
a Your assets exceed your liabilities.
b. Your assets equal your liabilities.
C Your liabilities exceed your assets.
d. You have only assets and no liabilities.
Please select the best answer from the choices provided
Answer:
c. Your liabilities exceed your assets.
Step-by-step explanation:
The negative net worth indicates option(C) Your liabilities exceed your assets
What is Negative net worth?This means you owe more money than assets that you own.
What is Liabilities?A liability is something a person or company owes, usually a sum of money
Here,
Negative net worth indicates option (C) Your liabilities exceeds your assets is negative net worth. Because this means you owe more money than assets that you own.
Other options are not indicating negative net worth
Hence, the negative net worth indicates option(C) Your liabilities exceed your assets
Learn more about Negative net worth and Liabilities here
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Help pleaseeeeee thanks so much
Answer:
The answer is n = 31
Step-by-step explanation:
Equation: 2n + 13 = 75
2n = 75 - 13
2n = 62
n = 62/2
n = 31
check:
2*31 + 13 = 75
62 + 13 = 75
Answer: n = 31
Step-by-step explanation: Remember that the word sum mean addition.
So the sum of twice a number and 13 means 2n + 13 = 75.
So our equation is 2n + 13 = 75.
Now let's solve the equation.
Start by subtracting 13 from both sides to get 2n = 62.
Now, divide both sides by 2 and we have n = 31.
Form the union for the following sets.
M={ }
N = {6, 7, 8, 9, 10)
MUN=
MUN = {6, 7, 8, 9, 10}
Step-by-step explanation:
M={ }
N = {6, 7, 8, 9, 10)
MUN = {6, 7, 8, 9, 10} .. (because A∪∅=A)
A carnival charges $6 for admission and $2.50 per ride. You have $50 to spend at the carnival. Which of the following inequalities represents the situation if r is the number of rides?
Answer:
[tex]6+2.5r\leq 50[/tex]
Step-by-step explanation:
Hi!
The options regarding the inequalities are not listed, though we can still proceed to write the inequality.
From the problem statement you cannot spend more than $50
and you are charged admission fee of $6 flat
a ride cost $2.50 per ride
the number of rides is given as r
yet in all you must not go beyond your limit
Therefore the inequalities can be presented as
[tex]6+2.5r\leq 50[/tex]
Answer:
2.5r + 6 ≤ 50
Step-by-step explanation:
Solve for x in the diagram below.
Answer:
x= 20
Step-by-step explanation:
The two smaller angles add to 90 degrees
x + 3x +10 = 90
4x+10 = 90
Subtract 10 from each side
4x+10-10 = 90-10
4x = 80
Divide each side by 4
4x/4 = 80/4
x = 20
Answer:
[tex]x=20\textdegree[/tex]
Step-by-step explanation:
The angle we have here is a right angle. Right angles have a total measure of 90°. Therefore, the two parts must equal 90°:
Thus, we have the equation:
[tex](x)+(3x+10)=90[/tex]
Combine like terms:
[tex]4x+10=90[/tex]
Subtract 10 from both sides. The left side cancels:
[tex](4x+10)-10=90-10\\4x=80[/tex]
Divide both sides by 4. The left side cancels:
[tex](4x)/4=(80)/4\\x=20[/tex]
Thus, x is 20°.
Solve:(1/7)x +(1/6)y =3 ; (1/2)x - (1/3)y =5
Answer:
(14, 6 )
Step-by-step explanation:
Given
[tex]\frac{1}{7}[/tex] x + [tex]\frac{1}{6}[/tex] y = 3 ( multiply through by 42 to clear the fractions )
6x + 7y = 126 → (1)
[tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{3}[/tex] y = 5 ( multiply through by 6 to clear the fractions )
3x - 2y = 30 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 6x + 4y = - 60 → (3)
Add (1) and (3)term by term to eliminate x
11y = 66 ( divide both sides by 11 )
y = 6
Substitute y = 6 into either of the 2 equations and evaluate for x
Substituting into (1)
6x + 7(6) = 126
6x + 42 = 126 ( subtract 42 from both sides )
6x = 84 ( divide both sides by 6 )
x = 14
Solution is (14, 6 )
An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Complete parts a through c below. . . . .
1 4 16 25 36, 49, 64
Describe a procedure to determine the next five square numbers without drawing the figures.
A. Square 6, 8, 10, 12, and 14.
B. Add the last two square numbers together to get the next one.
C. Double the previous square number and then subtract half of the previous from that.
D. Square 6, 7, 8, 9 and 10.
Answer:
A. 6 = 36
8 = 64
10 = 100
12 = 144
14 = 196
B. 340
C. 582
D.6= 36
7 =49
8 = 64
9= 81
10= 100
-Russell wants to buy three identical gift cards. hehe wants to make sure his total cost is no more than $2 above or below $60. which of the following inequalities represent his situation
Answer:
|60+3c|<2
That should be a less than or equal to sign
Also I’m sorry but I can’t explain it because I got this answer from someone else on here.
Step-by-step explanation:
A car, starting from a city, traveled east for 100 km and then west for
130 km. How far from City was the car at the end of the trip?
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Answer:
Rate of change = 18/√74
Step-by-step explanation:
The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v
Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;
∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)
So;
∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))
This gives;
∇g(1, 1, 2) = (3, 7, 4)
Now,
||∇g(1, 1, 2)|| = √(3² + 7² + 4²)
||∇g(1, 1, 2)|| = √74
Normal vector would be given by the formula;
v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]
Thus;
v = (3, 7, 4)/√74
Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)
Thus, rate of change is given by;
∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74
This gives;
Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74
Sam owns a vegetable stand. He tracks the price of potatoes, p, in dollars per pound
throughout the year. In the beginning of the year, the price of potatoes rose gradually
until it peaked in the third month. After that, the price declined until it bottomed out in
the seventh month of the year. Then, the price of potatoes rose to peak again near the
end of the year.
Answer:
What's the question, what are you meant to find??
Jimmy is putting in tile floors in his living room. He ordered 20 boxes of tiles, but only 16 arrived. What percent of the order is missing?
Answer:
400%
Step-by-step explanation:
20-16=4
4*100%=400%
Need Help on this Part
To determine the 'intervals of increase' and 'intervals of decrease' we can refer to the graph with respect to the x - axis.
• Knowing that t = x - axis, the 'intervals of increase' as an inequality would be 1 < x < 3, and 4 < x < ∞. Therefore we have our intervals of increase as (1,3) and (4, ∞).
• Respectively our 'intervals of decrease' as inequalities would be - ∞ < x < 1, and 3 < x < 4. Our intervals of decrease would then be (- ∞, 1) and (3,4).
• We are left with our local extrema and absolute extrema. Now remember the absolute extrema is the absolute lowest point in the whole graph, while the local extrema is the lowest point in a restricted interval. In this case our local extrema is our maximum, (3,1). But this maximum is not greater than the starting point (0, 4) so it appears, and hence their is no absolute extrema.
A 17ft ladder leans against the side of a house. The top of the ladder is 15 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree
Answer:
SOHCAHTOA.
We are to use SOH in this question because we have the opposite which is 15 and the hypotenuse which is 17.
which will be Sin theta =15/17.
Sin theta =0.8823~1.
then Sin theta =1.
which is theta = (inverse of sin) sin^-1(1).
theta =90°.
Answer:x = theta =90°.
Step-by-step explanation:
x + y = 12 and y = x - 1.
Find the value of 2x + 2y.
Answer:
2x + 2y = 24
Step-by-step explanation:
You have to isolate y and then use substitution.
x + y = 12 and y = x - 1
-x -x
y = -x + 12 and y = x - 1
-x + 12 = x - 1
+x +x
--------------------
12 = 2x - 1
+1 +1
----------------
13 = 2x
2x = 13 [ divide both sides by 2]
x = 6.5
Now, you have to plug x (6.5) into y = x - 1.
y = x - 1
y = 6.5 - 1
y = 5.5
Finally, plug both x (6.5) and y (5.5) into 2x + 2y.
2x + 2y
= 2 (6.5) + 2 (5.5)
= 13 + 11
= 24
How do you do this Please Explain how you did
Answer:
Domain : (- ∞, - 5), and (3 / 2, ∞),
Range : (∞, 0.4437]
Step-by-step explanation:
Assuming that we want our answer in interval notation, let's start by determining the domain. Remember that the domain can be found where the function is undefined.
Given : f(x) = (2x - 7) / (2x² + 7x - 15)
Alternative Form : (2x - 7) / (x + 5)(2x - 3)
To receive this 'alternative form' we can simply factor the expression 2x² + 7x - 15. See the procedure below,
[tex]\mathrm{Given : 2x^2+7x-15} ,[/tex]
[tex]\mathrm{Break\:the\:expression\:into\:groups : \left(2x^2-3x\right)+\left(10x-15\right)} ,[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}2x^2-3x\mathrm{:\quad }x\left(2x-3\right),\\\mathrm{Factor\:out\:}5\mathrm{\:from\:}10x-15\mathrm{:\quad }5\left(2x-3\right),[/tex]
[tex]x\left(2x-3\right)+5\left(2x-3\right) = \left(2x-3\right)\left(x+5\right) - \mathrm{Factored\:expression}[/tex]
Now let's find the domain using the expression '(x + 5)(2x - 3) = 0.' If the denominator equals 0, the function is considered undefined.
[tex]\mathrm{Given : \left(x+5\right)\left(2x-3\right)=0} ,\\x+5=0:\quad x=-5, 2x-3=0:\quad x=\frac{3}{2}\\\mathrm{The\:solutions\:are: x=-5,\:x=\frac{3}{2}}[/tex]
Knowing these solutions the domain has the intervals (- ∞, - 5), and (3 / 2, ∞). The range is the set of values that correspond to the domain, so in this case the range would be (∞, 42 + 8√17 / 169]. 42 + 8√17 / 169 = (About) 0.4437, so it lies on the interval (∞, 0.4437].
The images below represent the plotted function in two areas. There are 3 curves in this graph.
The limit with the steps if it exist plz
Answer:
1/4
Step-by-step explanation:
Hello, first of all we could say, let 's replace x by 1 and see if we can conclude.
numerator gives [tex]\sqrt{1+15}-4=\sqrt{16}-4=4-4=0[/tex]
denominator gives 1-1=0
So, this is 0/0 and this is not defined.
We need to ask a friend for help. Guillaume de l'Hôpital, French mathematician from the 1600s, has a trick to solve this kind of stuff.
In short, he says that
[tex]\displaystyle \lim_{x\rightarrow c} \ {\dfrac{f(x)}{g(x)}}=\lim_{x\rightarrow c} \ {\dfrac{f'(x)}{g'(x)}}[/tex]
In our case here, we have c = 1
[tex]f(x)=\sqrt{x^2+15}-4\\\\g(x)=x-1[/tex]
[tex]f'(x)=\dfrac{1}{2}\dfrac{2x}{\sqrt{x^2+15}}=\dfrac{x}{\sqrt{x^2+15}}\\\\f'(1)=\dfrac{1}{4}\\\\g'(x)=1\\\\\dfrac{f'(1)}{g'(1)}=\dfrac{1}{4}[/tex]
So, we can conclude
[tex]\displaystyle \lim_{x\rightarrow1} \ {\dfrac{\sqrt{x^2+15}-4}{x-1}}=\lim_{x\rightarrow1} \ {\dfrac{1}{4}}=\boxed{\dfrac{1}{4}}[/tex]
Thanks
Solve the system of linear equations.
15x - 5y = -20
-3x + y = 4
Answer:
Infinite solutions.
Step-by-step explanation:
Use the elimination method:
15x - 5y = -20
-3x + y = 4 Multiply this equation by 5:
-15x + 5y = 20 Now add this to the first equation:
0 = 0
So the 2 equations are the same and there are infinite solutions.
Do you need to execute the Distributive Property to simplify: 5(2-8)?
Yes
No
no just do the stuff in the parentheses then multiply by 5
Why is it important to line up the decimal points?
Solve for k 8k-2z=24
Answer:
k = z/4 + 3
Step-by-step explanation:
8k-2z = 24
8k = 24 + 2z
k = (24 + 2z)/8
k = (24 + 2z) / (4*2)
k = (12 + z) / 4
k = 3 + z/4
If the population does not follow the normal probability distribution, the Central Limit Theorem tells us that the sample means will be normally distributed with sufficiently large sample size. In most cases, sample sizes of 5 or more will result in sample means being normally distributed, regardless of the shape of the population distribution.a) trueb) false
Answer:
The correct option is false
Step-by-step explanation:
Generally the Central Limit Theorem tells us that the sample means will be normally distributed with sufficiently large sample size( i.e [tex]n \ge 30[/tex] ) regardless of the shape of the population distribution.
But the question states that the mean is normally distributed if the sample size is 5 or more which is false hence the statement is false