Answer:
7
Step-by-step explanation:
The left hand limit is when we approach zero from left. We use the function on this domain in finding the limit.
[tex]\lim_{x \to 0^-} f(x)=7-x^2[/tex]
[tex]\lim_{x \to 0^-} f(x)=7-(0)^2=7[/tex]
The right hand limit is
[tex]\lim_{x \to 0^+} f(x)=10x+7[/tex]
[tex]\lim_{x \to 0^+} f(x)=10(0)+7=7[/tex]
Since the left hand limit equals the right hand limit;
[tex]\lim_{x \to 0} f(x)=7[/tex]
y - 7x = 6
y +7x = 8
hence y is 7 ,x is 1/7
hope it helps you
There are 858 calories in 13 servings of cereal. If a bowl holds 2 servings, how many calories are in the bowl?
Answer:
132 calories in a bowl that holds 2 servings
Step-by-step explanation:
In order to find what 1 serving equals, you have to divide 858 by 13 and you get 66, but since the bowl holds 2 servings you have to multiply 66 by 2 and you get 132
Answer:
78
Step-by-step explanation:
Subtract 2 serving out of 13 and the then divide 858 by the number.
If the bases of an isosceles trapezoid have lengths of 11 and 24, what is the length of the median? A. 17.5 units B. 35 units C. 13 units D. 6.5 units
Answer:
Option A. [tex]17.5\ units[/tex]
Step-by-step explanation:
we know that
The measure of the median is the semi-sum of the bases
so
[tex]\frac{1}{2}(11+24)=17.5\ units[/tex]
Answer:
17.5
Step-by-step explanation:
1/2(11+24)=17.5
Find the area of the composite figure and round the nearest tenth
Answer:
The area of the composite figure is 1360 ft.
Step-by-step explanation:
First, you should split up the composite figure into separate shapes.
So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.
30 x 34 = 1020 ÷ 2 = 520.
Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.
To find area of the rectangle you multiply length x width.
16 x 30 = 480.
Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!
You have to subtract 40 - 16 which equals 24.
30 x 24 = 720 ÷ 2 = 360.
Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.
Remember to label your answer!
Answer:
1080 ft^2
Step-by-step explanation:
We are given a composite figure that consists of a triangle and a trapezoid.
We know that the area of these two shapes is given by the following formulas so we will put in the given values to get:
Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex] = [tex]\frac{1}{2} \times 16 \times 30[/tex] = 240 ft^2
Area of trapezoid = [tex]\frac{a+b}{2} h[/tex] = [tex]\frac{16+40}{2} 30[/tex] = 840 ft^2
Area of composite figure = [tex]240+840[/tex] = 1080 ft^2
Which of the following histograms would best be approximated by a normal distribution?
Answer:
Choice B is correct
Step-by-step explanation:
The normal distribution has extensive applications in statistics. The distribution is characterized by a symmetric bell-shaped density curve. Most of the observations or data points fall in the middle of the distribution while both the right and left tails are equally longer.
The histogram that can be approximated by a normal distribution must meet the above conditions.
The histogram in alternative A is skewed to the right since most of the values fall in the lower end of the distribution. A skewed distribution is not symmetric.
The histogram in choice C is approximately uniformly distributed since most of the observed values have an approximately equal frequency. Each of the values is approximately equally likely. The uniform distribution is not symmetric.
The histogram in D follows no know pattern and nevertheless it lacks the symmetric property.
The histogram in B is approximately symmetric in distribution since most of the observed data values fall in the middle of the distribution while the left and right tails are nearly equal. This histogram can thus be approximated by a normal distribution.
Find the product. Write your answer in exponential form. 2^-8*2
Answer:18446744073709600000
Step-by-step explanation:
2^-8*2=2^64=
Find the inverse of the following function.
For this case we must find the inverse of the following function:
[tex]f (x) = 8 \sqrt {x}[/tex]
For this, we follow the steps below:
We change f (x) to y:
[tex]y = 8 \sqrt {x}[/tex]
We exchange the variables:
[tex]x = 8 \sqrt {y}[/tex]
We solve for y:
[tex]8 \sqrt {y} = x[/tex]
We divide between 8 on both sides of the equation:
[tex]\sqrt {y} = \frac {x} {8}[/tex]
We raise both sides of the equation to the square to remove the root:
[tex]y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}[/tex]
So, the inverse is:[tex]f ^ {- 1} (x) = \frac {x ^ 2} {64}[/tex]
ANswer:
Option C
Can the numbers 24, 32, 40 be the lengths of the three sides of a right triangle? Explain why or why not.
Answer:
24, 32, 40 can be the lengths of the three sides of a right triangle
Step-by-step explanation:
Pythagoras theorem:
c^2 = a^2 + b^2
40^2 = 1,600
32^2 + 24^2 = 1024 + 576 = 1,600
If the square of the length of the hypotenuse (longest side length) is equal to the sum of the squares of the lengths of the other two sides then it's a right triangle
So
40^2 = 32^2 + 24^2
1,600 = 1,600
24, 32, 40 can be the lengths of the three sides of a right triangle
Select the correct answer from the drop down menu
[tex](\frac{f}{g})(x)=\frac{x^{2} +2x-3}{x^2-9}[/tex] since x = 4, you plug in 4 into the x's in the equation
[tex](\frac{f}{g} )(4)=\frac{(4)^2+2(4)-3}{(4)^2-9} = \frac{16 + 8 - 3}{16 - 9}[/tex] Simplify
[tex]\frac{21}{7} =3[/tex]
so [tex](\frac{f}{g})(4)=3[/tex]
(f + g)(x) = (x² + 2x - 3) + (x² - 9) Plug in 4 for x
(f + g)(4) = 4² + 2(4) - 3 + (4)² - 9
(f + g)(4) = 16 + 8 - 3 + 16 - 9 = 28
Kim is making a bouquet for her friend. She used x tulips and some daffodils in the bouquet. The number of daffodils is equal to the square root of the number of tulips. If the total number of flowers in the bouquet is 20, find the number of tulips.
5
16
20
4
Answer:
16
Step-by-step explanation:
So the number of tulips (t) plus the number of daffodils (d) should equal up to 20. So if we write that as an equation, it would t + d = 20. So now we have to find what two numbers could add up to 20, but let's not forget that the number of daffodils is equal to the square root of the number of tulips.
So now we have to find a number when added to its square root is 20. So going by process of elimination, you can eliminate 5 because the square root of that is a decimal and 5 plus a decimal isn't going to add up to 20. You know you can eliminate 20 because it already reaches the limit with the number of tulips, not allowing enough room for daffodils. You can eliminate 4 because the square root of that is 2, and 4 + 2 = 6, not 20.
So that leaves 16... The square root of 16 is 4, because 4 divided by itself twice equals 16. Now, let's add them and see if it equals 20. 16 tulips + 4 daffodils = 20. So 16 is your answer.
Sorry I am bad at explaining things, but I hope this helps anyway!
Answer:
Option B is the correct answer.
Step-by-step explanation:
She used x tulips and some daffodils in the bouquet.
The number of daffodils is equal to the square root of the number of tulips.
[tex]\texttt{Number of daffodils = }\sqrt{x}[/tex]
The total number of flowers in the bouquet is 20
That is
[tex]x+\sqrt{x}=20[/tex]
Solving
[tex]x+\sqrt{x}=20\\\\\sqrt{x}=20-x\\\\x=(20-x)^2\\\\x=400-40x+x^2\\\\x^2-41x+400=0\\\\(x-25)(x-16)=0\\\\\texttt{x=25 or x = 16}[/tex]
Total number is less than 20 so 25 is not possible
Number of tulips used = 16
Option B is the correct answer.
find the additive inverse of -7+5i.
Answer:
Required additive inverse is [tex]-7-5i[/tex].
Step-by-step explanation:
Given number is [tex]-7+5i[/tex].
Now we need to find about what is that additive inverse of the given number [tex]-7+5i[/tex].
We know that if complex number is [tex]a+bi[/tex] then it's additive inverse is given by [tex]a-bi[/tex].
Basically we need to change the sign of imaginary term.
imaginary term in given number [tex]-7+5i[/tex] is +5i.
Changing sign of +5i gives -5i.
Hence required additive inverse is [tex]-7-5i[/tex].
If mike only has 100 dollars to spend on games, how many $20 games can he afford to buy?
Answer: 5
Step-by-step explanation: If Mike Only has $100 To Spend On Games, He Can Buy 5 Games Because We Multiply 20 By 5 To Get A Product Of 100.
Therefore, Mike Can Afford 5 Games With No Money Left.
Have A Fantastic Day!
Be Safe,
Eric
Mike can afford to buy 5 $20 games.
To determine how many $20 games Mike can afford to buy with $100, we divide the total amount of money he has by the cost of one game.
Total money Mike has = $100
Cost of one game = $20
Number of games Mike can afford = Total money / Cost of one game
Number of games Mike can afford = $100 / $20
Number of games Mike can afford = 5
Therefore, Mike can buy 5 games with $100.
78 is 15% of what number
Answer:
520
Step-by-step explanation:
Is means equals and of means multiply
78 = 15% * W
Change to decimal form
78 = .15 *W
Divide by .15 on each side
78/.15 = .15W/.15
520 = W
Answer:
520
Step-by-step explanation:
78/0.15 = 520
geckos and iguanas are both lizards. The length of the average gecko is about two fifths of the length of average iguana. Geckos are about 10 in. long. What is the lenth of an average iguana.
Answer:
25 in.
Step-by-step explanation:
Since we know geckos are 2/5 of an Iguana's length, we need to find the length of 1/5.
So if 10 in. is 2/5, 5 in, is 1/5.
Now, since the denominator is 5, we multiply 5 in. by 5.
5x5=25 in.
25 in. is the length of an average Iguana.
Plsssss helppppppppppp
Answer:
B
Step-by-step explanation:
A parabola is symmetric about the vertex point. The x-coordinate of the vertex is 4.6.
So the parabola has 1 intersection point at x = 0 (origin as shown) and the line of symmetry is at x = 4.6. That is, from 0 to 4.6, it is 4.6 units. Hence, the other intersection point at the x-axis should be from 4.6 to 4.6 units to the right.
Hence, 4.6 + 4.6 = 9.2
The x-intercept would be (9.2, 0)
Correct answer is B
Which data set is represented by the modified box plot? 116, 118, 114, 117, 151, 126, 122, 114, 124 100, 104, 114, 116, 117, 118, 122, 126, 151 116, 118, 104, 117, 151, 136, 142, 104, 124 106, 108, 104, 107, 151, 126, 132, 104, 124
100, 104, 114, 116, 117, 118, 122, 126, 151
That was the correct answer for the test I took
17 out of 20 teens say they eat or drink something before school. if 3,000 students attend that highschool, predict the number of teenagers that eat or drink something before school PLZ HURRRRRRRRRRRYYYYYYYYYYYYY
Answer:
2,550
Step-by-step explanation:
3,000 divided by 20 equals 150.
17 multiplied by 150 equals 2,550.
the answer is 2,550 I agree
please help i really need help
Answer:
142 degrees
Step-by-step explanation:
Since LON is 180 degrees...
9x - 91 + 6x + 76 = 180
15x - 15 = 180
15x = 165
x = 11
MON = 6(11) + 76
MON = 66 + 76
MON = 142
The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks.
Number of Hours Machine Is Running
Printer A
Printer B
Printer C
Week 1
40
50
45
Week 2
45
50
40
Week 3
55
30
60
Total Cards Produced
Week 1
7,950
Week 2
7,800
Week 3
9,600
Printer B uses $15 in ink every hour. What is the ink cost for each card coming from printer B?
Answer:
$0.2456 / card in ink for printer B
Step-by-step explanation:
The formatting of the data tables isn't great in your question and it's hard to be sure of which numbers go where.
Since the question is about printer B, we'll assume the number of hours for printer B is 50 for week1, 50 for week2 and 3 for week3.
The numbers don't make much sense overall, but let's work with them.
We'll first calculate the ratio of hours worked by printer B with the overall hours all the printers worked, over the 3 weeks:
Printer A : 140 hours
Printer B : 130 hours
Printer C: 145 hours
Total 415 hours total, for the 3 printers.
Ratio of Printer B: 130 / 415 = 31.325%
Total of cards produced:
7,950 + 7,800 + 9,600 = 25,350 cards over 3 weeks.
We'll assume the productivity per hour is the same for all printers, since no indication otherwise. So, the portion of those 25K cards of printer B should be the same as the ratio of the hours worked:
25,340 * 31.325% = 7941 cards (rounded to the nearest unit)
Since we know printer B ran for 130 hours, and it costs $15/hour in ink, we have:
130 hours * 15$/hour = $1,950 in ink.
Now, we divide by the number of cards:
$1,950 / 7941 cards = $0.2456 / card in ink for printer B
Answer:
b
Step-by-step explanation:
took test
17.003 - 0.374 please show work
Answer:
16.629
Step-by-step explanation:
Start by setting up the numbers like the first picture. The borrow. To borrow we have to go the whole way over to the 7 since you can't borrow from 0. So the 7 becomes a 6 and the 0 becomes 10. Then the 10 becomes a 9 and the 0 becomes a 10. Then the 10 becomes a 9 and the 3 becomes a 13. Then subtract. Just bring the decimal point down.
What is the value of the function f(x)=3/2x-1/2 when x=6?
Answer:
Option 1
Step-by-step explanation:
In order to find the value of the function at x=6, we have to replace x by 6 in the given function.
[tex]f(x)=\frac{3}{2}x -\frac{1}{2}[/tex]
Replacing(Substituting) x = 6 in above equation we get:
[tex]f(6)=\frac{3}{2} (6) -\frac{1}{2}\\\\f(6)=9-\frac{1}{2}\\\\ f(6)=\frac{18}{2}-\frac{1}{2}\\\\ f(6)=\frac{17}{2}\\\\ f(6)=8\frac{1}{2}[/tex]
Thus, 1st option gives the correct answer.
Answer:
The correct answer is option 1
8 1/2
Step-by-step explanation:
It is given that,
f(x) = 3x/2 - 1/2
We have to find f(x) when x = 6
To find the value of f(6)
we have, f(x) = 3x/2 - 1/2
when x = 6
f(x) = f(6)
f(6) = (3 * 6)/2 - 1/2
= 18/2 - 1/2
= (18 - 1)/2 = 17/2
= 8 1/2
Therefore the correct answer is first option
What is the quadratic regression equation that fits these data?
Option: A is the correct answer.
The quadratic equation that fits these data is:
A. [tex]y=2.09x^2+0.33x+3.06[/tex]
Step-by-step explanation:We are given a table of values as:
x y
-4 35
-3 20
-2 12
-1 6
0 2
1 6
2 10
3 24
4 38
From the given data values we see that the points follow a parabolic path this means that the line of best fit will has a quadratic equation.
Also, the line that best represents these data points as is done by the regression calculator is:
A. [tex]y=2.09x^2+0.33x+3.06[/tex]
h=64t-32t^2 find the maximum height attained by the obiect
Check the picture below.
so if we just find its vertex, we know how many feet it went up by its y-coordinate.
[tex]\bf h=64t-32t^2\implies h=-32t^2+64t+0 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ h=\stackrel{\stackrel{a}{\downarrow }}{-32}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{64}{2(-32)}~~,~~0-\cfrac{64^2}{4(-32)} \right)\implies \left( \stackrel{\stackrel{\textit{how many}}{\textit{seconds}}}{1}~~,~~\stackrel{\stackrel{\textit{how many feet}}{\textit{it went up}}}{32} \right)[/tex]
tx²+3x-7=0 has two real solution. what can be the deducted about the value of t?
Answer:
value of t is greater than equal to -9 / 28.
Step-by-step explanation:
Given Quadratic Polynomial : tx² + 3x - 7 = 0
Also, It has real solutions.
Standard Quadratic equation, is ax² + bx + c = 0
here, Determinant, D = b² - 4ac
decides nature of the roots.
if D < 0 , roots / solutions are complex
if D = 0 , roots are real and equal.
if D > 0 , roots are real and different.
As given roots are real solutions.
Means Dis either equal to 0 or greater than 0
when D = 0
we have, 3² - 4 × t × (-7) = 0
9 + 28t = 0
t = -9 / 28
when D > 0
we have, 3² - 4 × t × (-7) > 0
9 + 28t > 0
t > -9 / 28
Therefore, value of t is greater than equal to -9 / 28.
Please help!!!!! Thanks I will mark brainlest!!
Answer:
Next term doubles
Hope this helps :)
Have a great day !
5INGH
Brainliest please
Step-by-step explanation:
Rewrite the function by completing the square. g(x)= x^2 + 15x +54
(24 POINTS)
The function can be written as g(x)=(x+15/2)^2 +(-9/4)
How to convert it?Some quadratic equations are difficult to factor and are not presented in a way that enables us to apply the square root property right away. However, by "completing the square," we may transform the quadratic formula into a perfect square trinomial. The square root property is then used to factor the trinomial and answer the equation.
How to Complete the Square in Equations to Solve the Problem
1. Transform the original equation into x2 + bx = c.
2. Add the term required to complete the square to both sides.
3. Factor the trinomial with a perfect square.
4. Apply the square root property to the resulting equation
If x2 + bx is a binomial, then adding will result in a perfect square trinomial. is the square of half the coefficient of the linear x.
A perfect square trinomial can be factored, so the equation can then be solved by taking the square root of both sides.
To learn more about quadratic equation refer to:
https://brainly.com/question/1214333
#SPJ2
Answer:
g(x)=(x+15/2)^2 +(-9/4)
Step-by-step explanation:
What is 15990000 written as scientific notation
Answer:= 1.599 × 107
Step-by-step explanation:
here you go
What is the measure of angle K in the circle?
Answer:
The measure of angle k is (1/2)(140°) = 70°.
The number of DVDs in a random person’s home collection is counted for a sample population of 80 people. The mean of the sample is 52 movies; the entire population is known to have a standard deviation of 12 movies. Assuming a 99% confidence level, find the margin of error.
Answer:
[tex]E = 3.46\ movies[/tex]
Step-by-step explanation:
The formula to find the error is:
[tex]E = z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}[/tex]
Where:
[tex]\sigma[/tex] is the standard deviation
n is the sample size
So
n = 80 people
[tex]\sigma[/tex] = 12 movies
Then
[tex]1- \alpha[/tex] = confidence level = 0.99
[tex]\alpha= 1-0.99[/tex]
[tex]\alpha = 0.01\\\\\frac{\alpha}{2} = 0.005[/tex]
We look for the Z value: [tex]Z_{0.005}[/tex]
[tex]Z_{0.005}=2.58[/tex] Looking in the normal standard tables
Therefore:
[tex]E =2.58*\frac{12}{\sqrt{80}}\\\\E = 3.46\ movies[/tex]
Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 2.25 minutes?
Answer:
Step-by-step explanation:
x / 2.25 seconds = 28 times / 12 seconds
multiply by sides by 2.25 seconds
x / 2.25 seconds * 2.25 seconds = 28 times / 12 seconds * 2.25 second
x = 2.3333333 times/ second * 2.25 seconds
x = 5.8333
Answer:
315 times
Step-by-step explanation:
We know that the friend can clap his hands 28 times in 12 seconds. First, we need to know how many times can he clap his hands in 1 second:
To do it we have to divide the times he can clap his hands by the time in seconds:
28/12 = 2.333333
He can clap his hands 2.333333 times in 1 second:
Now we want to know how many times will he clap his hands in 2.25 minutes
We have to change 2.25 minutes into seconds:
1 (minute) = 60 (seconds in 1 minute)
2.25 (minutes) * 60 (seconds in 1 minute) = 135 seconds
After we get the seconds he is going to clap his hands, we have to multiply the times he claps times the seconds:
2.3333333 times * 135 seconds = 315
315 times in 2.25 minutes