Answer:
D: {-6, 6}
Step-by-step explanation:
The domain are all the possible values for x. For this graph in the x-position, it starts from -6 to +6. Therefore, the domain will be {-6,6}.
Answer:
[tex]-6\leq x\leq 6[/tex]
[tex]x[/tex] ∈ [tex][-6, 6][/tex]
Step-by-step explanation:
The domain is the set of all numbers for which a function is defined. As one can see on the given graph, the function spans between the numbers (-6) and (6). Therefore, the function is defined between the numbers (-6) and (6). The closed dots on either end of the function signify that the function includes these values. Thus, the domain of the function is as follows:
([tex]-6\leq x\leq 6[/tex])
In set notation,
([tex]x[/tex] ∈ [tex][-6, 6][/tex])
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Answer:
base = 3x - 1
height = x
area of triangle = (1/2)bh
22 = (1/2)(3x-1)(x)
44 = (3x-1)(x)
44 = 3x^2-x
0 = 3x^2-x-44
0 = 3x^2-12x+11x-44
0 = (3x^2-12x)+(11x-44)
0 = 3x(x-4)+11(x-4)
0 = (x-4)(3x+11)
x = {-11/3, 4}
throw out the negative solution (extraneous) leaving
x = 4 m (height)
.
Base:
3x - 1 = 3(4) - 1 = 12 - 1 = 11
Step-by-step explanation:
I hope it will help you
Factor 2x2c2 + 3xc2 − 35c2. Show your work.
Answer:
c²(x + 5)(2x - 7)Step-by-step explanation:
2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]
Take c^2 common[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]
Factor the brackets[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]
[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]
[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]
a regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) if one card is drawn at random from the deck, find the probability of the following events: it a 7, 8, or a king
a sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.which complex fraction represents the unit rate in miles per hour.
Answer:
2 1/2 miles = 1/6 hours 2 1/2 miles * 6 = 1/6 hours * 6 12 1/2 miles = 6/6 hours 12 1/2 miles = 1 hour 12 1/2 miles/hr
Answer:
[tex]\frac{\frac{5}{2} * 6 }{\frac{1}{6} * 6}[/tex] = [tex]\frac{\frac{30}{2} }{\frac{6}{6} }[/tex]
Step-by-step explanation:
Point M is the midpoint of AB. The coordinate of point A are (-8,3) and the coordinates of M are (-2,1). What are the coordinates of point B?
Answer:
(4, -1)
Step-by-step explanation:
xB = -2+(-2-(-8)) = -2 +6 = 4
yB = 1+(1-3)=1+(-2) = -1
so, the coordinates of point B => (4, -1)
What is the solution to the equation below? (round your answer two decimal places)
e^x=7.1
Answer:
Step-by-step explanation:
In order to undo that e, you need to take the natural log of both sides:
[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with
x = ln(7.1) so
x = 1.96
Find the value of b.
Answer:
B
Step-by-step explanation:
The secant- tangent angle b is half the difference of the measures of the intercepted arcs , then
b = [tex]\frac{1}{2}[/tex] ( 180 - 35) = [tex]\frac{1}{2}[/tex] × 145° = 72.5° → B
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
C. 12 for $6.00
Step-by-step explanation:
Answer:
C. 12 for $6.00
Step-by-step explanation:
better than $13.00 for 24. as that'd be $6.50 for 12..
A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and with that is for meters greater than the width of the first garden the second Gordon has area of 120 m² what is the length of the two gardens
Solution :
For the bigger rectangle
Width of bigger rectangle = W
Length of bigger rectangle, L = 2W
For the smaller rectangle
Width , w = W+4
Length, l = L = 2W
Area, a =120 [tex]m^2[/tex]
Now we know,
Area = length x width
[tex]$a=l \times w$[/tex]
[tex]$120=(2W) \times (W+4)$[/tex]
[tex]$120=2W^2 + 8W$[/tex]
[tex]$2W^2+8W-120=0$[/tex]
[tex]$W^2+4W-60=0$[/tex]
[tex]$(W+10)(W-6) = 0$[/tex]
We get, either [tex]W=-10[/tex] (rejecting)
or [tex]W=6[/tex]
∴ length of the bigger rectangle, [tex]$L=2W $[/tex]
= 2(6)
= 12 m
Length of the smaller rectangle, [tex]$L=2W$[/tex]
= 2(6)
= 12 m
Hence, the length of the two gardens is 12 m.
HELP PLZ!!!!!!!!!!!!!!!!!
Step-by-step explanation:
[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]
15 2 times n
16 10 race to the power 7
17 m race to the power 5
18 x times y
19 6 subtracted from 5 times n race to the power 2
20 1 added to 9 times a race to the power 3
21 x race to the power 3 times y race to the power 2
22 c race to the power 4 times d race to the power 6
23 3 times e added to 2 times e race to the power 2
Must click thanks and mark brainliest
which of the following are polynomials
Please answer this asap. explanation would be appreciated. i don’t understand this
Answer:
First, find the value of x:
[tex]h(5-x)=h(9)\\5-x=9\\-x=9-5\\-x=4\\x=-4[/tex]
Substitute the x-value in to the function [tex]x^{2}+x+1[/tex] and solve:
[tex](-4)^{2}+(-4)+1=16-4+1=12+1=13[/tex]
Therefore, the value of h(9) = 13.
Hope this is correct O-o
Answer:
A
Step-by-step explanation:
Since we need to find the value of h(9), we can substitute the (5-x) part from the original equation with 9 to get the value of x, which is 5-x = 9, x = -4. With that, we can go ahead and plug the x into the right side of the equation to get (-4)^2 + (-4) + 1, which equals 16 - 4 + 1, which equals 13.
I hope this helped! Please do let me know if you have further questions :D
PLZ HELP AND EXPLAIN!! I'll give brainy
For this exponential function,
what is the output value (y),
when the input value (x) is 2?
y = 10.5x
(2, [?])
Answer:
(2,21)
Step-by-step explanation:
y = 10.5x
it says that x=2 and when you plug the 2 in the equation you would get
y = 10.5(2)
then multiply the 2 and 10.5
y=21
that is my answer
glad yo help
In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students who scored 49, the remaining students
scored 78. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the mode.
B. The mean is greater than the median.
C. The mean and the median are the same.
OD. The mean is less than the median
Answer:
i went with mean is less than median
Step-by-step explanation:
other website lol
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
K = 5n/m
F=KE
K= F/E
= 10/5
K = 5n/m
Write an expression for the sequence of operations described below. multiply 3 by t, triple the result, then raise what you have to the 8th power not simplify any part of the expression .
Answer: 43046721(t^8)
Step-by-step explanation:
So first, multiply 3 by t to get 3t. Then, multiply it again by 3 to get 9t. Raise it to the 8th power to get (9^8)(t^8). This gives you 43046721(t^8)
Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company
Answer:
No, it doesn't indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company
Step-by-step explanation:
Let's first state the hypotheses.
Null hypothesis; H0: p = 0.68
Alternative hypothesis; Ha: p > 0.68
A random sample of 53 claims showed that 41 were made by single people under the age of 25.
Thus; p^ = 41/53 = 0.7736
Let's find the test statistic from the formula;
z = (p^ - p_o)/√(p_o(1 - p_o)/n)
z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)
z = 0.0936/0.07285
z = 1.28
From online p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;
P(z > 1.28) = 0.100273
The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.
Please help explanation if possible
Answer:
I don't know ask to your teacher
Given that ABCD is a rhombus, what is the value of x?
B
C.
(3x + 12)
D
A. 19.5
B. 78
C. 15.8
D. 26
E. 52
F. Cannot be determined
Answer:
Diagonals of a rhombus intersect at right angles
Therefore, [tex]\angle AOD=90[/tex]
[tex]Now,in\: \bigtriangleup AOD[/tex]
[tex]\angle OAD+\angle AOD+\angle ADO=180[/tex]
[tex]x+90+3x+12=180[/tex] [tex]\leftarrow [combing \: like\: terms][/tex]
[tex]4x+102=180\\-102 \: -102[/tex] [tex]\leftarrow [subtracting \:102 ][/tex]
[tex]\frac{4x}{4} =\frac{78}{4} \leftarrow [dividing \: by\: 4][/tex]
[tex]x=19.5[/tex] [tex]\Longleftarrow[/tex]
OAmalOHopeO
School is stressful.
Also, I don't know what I am supposed to put in this text box.
Answer: A) 4
Explanation:
For any 30-60-90 triangle, the short leg is half as long as the hypotenuse.
The short leg is opposite the smallest angle (30 degrees), so we see that
x = 8/2 = 4.
A student correctly evaluated an expression with P = -2 and a = 3 and got 3 as the result. Which of the following expressions could she have been evaluating
Answer:
B
Step-by-step explanation:
A student correctly evaluated an expression where p = -2 and q = 3 and acquired 3 as the result.
And we want to determine which expression could the student have been evaluating.
Thus, we simply need to check each expression by letting p = -2 and q = 3 and see which one equals 3.
Checking the first one:
[tex]\displaystyle \begin{aligned} 3p^2 +2pq - 6q +2 &= 3(-2)^2+2(-2)(3)-6(3) + 2\\ &= (12)+(-12) +(-18) + 2 \\ &=-16\end{aligned}[/tex]
The result is not 3. Hence, A is not correct.
The second expression:
[tex]\displaystyle \begin{aligned} p^3 + 2p^2q-p^2+2pq+q &= (-2)^3+2(-2)^2(3)-(-2)^2+2(-2)(3)+(3)\\ &= (-8)+(24)-(4)+(-12)+(3) \\ &= 3\stackrel{\checkmark}{=}3\end{aligned}[/tex]
Therefore, we can conclude that our answer is B.
We can check the other two regardless.
The third expression:
[tex]\begin{aligned} p^2+q-4q^2 &= (-2)^2 + (3) - 4(3)^2 \\ &= (4) + (3) -(36) \\ &= -29\end{aligned}[/tex]
And the fourth:
[tex]\displaystyle \begin{aligned} p^2+3q^2-q^2+p &= (-2)^2+3(3)^2-(3)^2+(-2) \\ &= (4) + (27) - (9) + (-2) \\ &= 20\end{aligned}[/tex]
Thus, neither the third expression nor the fourth is also correct.
In conclusion, our answer is B.
One-third of a number when subtracted from double of itself is equal to 10. Find the number.
2x−x3=10
X=?
Answer:
number is 6
Step-by-step explanation:
let the number be x , then double the number is 2x and
2x - [tex]\frac{1}{3}[/tex] x = 10 ( multiply through by 3 to clear the fraction )
6x - x = 30
5x = 30 ( divide both sides by 5 )
x = 6
That is the number is 6
I need help on this question pls
56/64 = 7/8
7/8 x 120
105.
what is 14.005 as a fraction
Answer:
[tex]14 \frac{5}{1000} [/tex]
Step-by-step explanation:
[tex]14.005 = 14 \frac{5}{1000} [/tex]
proper frac 14 1/200
improper frac 2801/200
What does the greater unit rate or slope mean in terms of the situation? What can you conclude from this?
Answer:
Bruce's tiles covered more area than Felicia's, so this means Bruce has the greater unit rate.
Step-by-step explanation:
Got it right
Please help me it’s due in 2 mins
82.053°??
(Tried going as fast as I can)
Consider the following sequence: -5, -1, 3,...
a. Is this sequence a arithmetic or geometric? How can you tell?
b. Is 119 a term in this sequence? If so, what term is it? If not, why not? Explain completely.
Answer:
a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term doesn't change
b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 plus 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.
Instructions: Find the missing side. Round your answer to the nearest
tenth.
63°
19
х
X =
Answer:
x = 37.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 63 = x /19
19 tan 63 =x
x=37.28959
To the nearest tenth
x = 37.3
The area of the surface of a pool table is 24 square feet. The perimeter is 22 feet. What are the dimensions of the pool table?
Answer: The dimensions are 8 and 3
Step-by-step explanation:
So 8*3=24 which corresponds with the formula for area l*w= Area
And perimeter means we add up all 4 sides so
8+8+3+3= 22
So the dimensions are 8 and 3
