Answer:
The positive zero is 11
Step-by-step explanation:
Given in the question an equation,
f(x) =x² - 121
We are asked to find the positive zero of f(x)
means x > 0 for which f(x) = 0
so,
x² - 121 = 0x² = 121
Take square root on both sides of the equation
√x² = √121
x = ±11
which means that x = 11 and x = -11
Since x > 0 so we will reject x =-11 and we will accept x = 11
Answer: 11
Step-by-step explanation:
You need to substitute [tex]f(x)=0[/tex] into the function given:
[tex]f(x) =x^2-121\\0 =x^2-121[/tex]
Now you need to solve for the variable "x", to do this, first you must add 121 to both sides of the function:
[tex](121)+0=x^2-121+(121)\\121=x^2[/tex]
Now apply square root to both sides of the function. Then, you get:
[tex]\±\sqrt{121}=\±\sqrt{x^2}\\\\\±\sqrt{121}=x\\\\x_1=11\\x_1=-11[/tex]
The value of the positive zero of the function is 11.
Compute the volume of the right square pyramid shown.
A.147 cubic units
B.241 cubic units
C.441 cubic units
D.447 cubic units
Answer:
A. 147 cubic units
Step-by-step explanation:
The area of the square base is ...
B = (7 units)² = 49 units²
The volume is given by the formula ...
V = (1/3)Bh = (1/3)(49 units²)(9 units) = 147 units³
Please help ASAP!!!!!
Answer:
2.02
Step-by-step explanation:
2.02
Karina is showing her steps to solve the expression −26.7 ÷ 1/3
In which step did Karina make an error?
Step 1: −26.7 ÷1/3
Step 2: −26.7 ⋅ −3
Step 3: 80.1
Step 2: -26.7 · -3
When you divide with a fraction, it's helpful to multiple by the reciprocal of the fraction .
This step instead multiplied by the negative reciprocal .
Therefore, the correct answer would be -80.1 instead of 80.1
The error was made in step 2.
.
what’s the probability of a C or a Z
Answer:
Zero
Step-by-step explanation:
A letter C or Z is not in the word Bulldog.
Is there a solution to |x| = -2
Answer:
There is no solution to the given problem [tex]|x|=-2[/tex].
Step-by-step explanation:
Given equation is [tex]|x|=-2[/tex].
Now we need to determine if there is solution to this equation or not.
We know that [tex]|x|[/tex] represents absolute value function.
By definition of absolute value function, we know that output of [tex]|x|[/tex] must always be positive.
But in given equation [tex]|x|=-2[/tex], we have output -2 which is negative.
That is not possible.
Hence there is no solution to the given problem [tex]|x|=-2[/tex].
Straws are shipped into a box with dimensions of 6.0x6.0x8.0 inches. Each straw is 3/8 inches wide and 7 and 3/4 inches long. How many straws could be shipped into a box without squeezing any straws?
Answer:
256
Step-by-step explanation:
First, let's see the height of the box (8 inches) is long enough for one straw (7 inches and 3/4) but not enough for 2... so there could be only one layer.
Now the box is a prism with a square base (6 inches each side).
How many straws can we fit on one side? We have to divide the width of the box by the width of a straw.
[tex]row = \frac{6}{3/8} = \frac{48}{3} = 16[/tex]
We can fit 16 straw per 6-side side of the box... Since the box is 6x6 inches, we can then fit 16 x 16 straws in it... 256 total.
Answer:
256
Step-by-step explanation:
Chelsea buys 8 packs of markers. Each pack contains the same number of markers. Chelsea gives 10 markers to her brother. Then she has 54 markers left. How many markers were in each pack?
First, see how many she had in all(before she gave some to her brother):
54 + 10 = 64
Then, divide to get how many were in each package:
64/8 = 8
There were 8 markers in each package.
find the common difference in the outputs to help find the missing outputs in the table
the commons difference is .8
the missing values are: 6.2 and 7
How can I change whole number 4 into fraction?
Convert the whole number 4 into a fraction using 4 as the denominator:
4/1 × 4/4 = 16/4
Hope this helps :D
Answer:ignore sorry
Step-by-step explanation:
Two sides of a right triangle measure 10 m and 8 m. Explain why this is not enough information to be sure of the length of the third side. Give two possible values for the length of the third side.
Two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].
What is right angle triangle?" Right angle triangle is a triangle whose one of the interior angle is of 90°."
Formula used
Pythagoras theorem,
(Hypotenuse)² = (Opposite side)² + (adjacent side)²
According to the question,
Two sides of a right triangle measure 10 m and 8 m
Here it is not mentioned 10m and 8m representing which side , that's why this is not enough information to be sure of the length of the third side.
Two possibilities
If Hypotenuse = 10m
Length of one of the side of the right triangle = 8m
Measure of other side 'x' equals to
[tex](10)^{2} = 8^{2} + x^{2}[/tex]
⇒[tex]x^{2} = 100 -64[/tex]
⇒[tex]x^{2} =36[/tex]
⇒[tex]x=6[/tex]
If Hypotenuse is not given then,
(Hypotenuse)² = [tex]10^{2} +8^{2}[/tex]
⇒(Hypotenuse)² = [tex]100 + 64[/tex]
⇒ Hypotenuse = [tex]\sqrt{164}[/tex]
Hence, two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].
Learn more about right angle triangle here
https://brainly.com/question/3770177
#SPJ2
Final answer:
Without knowing which of the two given sides is the hypotenuse in a right triangle, we cannot definitively calculate the length of the third side. It could be greater or less than 10.3 m depending on whether the 10 m side is the hypotenuse or one of the legs.
Explanation:
If two sides of a right triangle measure 10 m and 8 m, it is not enough information to be sure of the length of the third side. The reason is that without knowing which of the sides is the hypotenuse, or whether the given sides are the two legs or one leg and the hypotenuse, we cannot use the Pythagorean Theorem to find the exact length of the third side.
If the 10 m side is the hypotenuse, the other side (of length 8 m) would be a leg, and we could find the length of the remaining leg using the equation a² + b² = c², where c is the hypotenuse and a and b are the other two sides. Thus, the length of the third side would be less than 10.3 m.
However, if the side that measures 10 m is not the hypotenuse, then the remaining side would have to be longer than 10 m to satisfy the Pythagorean Theorem. The length of the third side would be greater than 10.3 m in this case.
Without additional information, we cannot commit to a single value for the third side and must acknowledge that both possibilities exist.
Find the dot product between the vectors u and v: u=2i+3j and v=-6i-5j
[tex]\bf \stackrel{\textit{dot product}}{<a,b>\cdot <c,d>}\implies (a\cdot c)+(b\cdot d) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} u=&2i+3j\\ v=&-6i-5j \end{cases}\implies \begin{cases} <2,3>\\ <-6,-5> \end{cases} \\\\\\ <2,3>\cdot <-6,-5>\implies (2\cdot -6)+(3\cdot -5)\implies -27[/tex]
Number 14 step by step pleasee
Answer:
C 3/14
Step-by-step explanation:
There are a total of 8 checkers
P (black) = black/total
= 2/8 = 1/4
Then we keep the checker, so there are only 7 checkers in the bag, 6 red and 1 black
P ( red) = red/total
= 6/7
P (black, red) = 1/4 * 6/7
= 6/28 = 3/14
what number do you add to complete the square
x^2+16x=3
Answer:
(x+8)^2 - 67
Step-by-step explanation:
1) Rearrange the quadratic into the standard format: ax^2 + bx + c
In this case you rearrange it to x^2 + 16x - 3
2) Write out the initial bracket: (x + b/2)^2 - Just divide the value of b (which in this case is 16) by 2 (which in this case gives you 8)
3) Multiply out the brackets and compare to the original to find what you need to add or subtract to complete the square
In this case you do (x+8)^2 which gives you x^2 + 16x +64
You compare this to the original: x^2 + 16x - 3
4) Add or Subtract the adjusting number to make it match the original
In this case you need to subtract 67 from x^2 + 16x +64 (which is the same as (x+8)^2) in order to make it match the original x^2 + 16x - 3
64 - 67 = -3
4 square meters equals how many square yards? What is the formula to get this answer?
Answer:
4.7840 square yards
Step-by-step explanation:
1 square meters equals 1.19599 square yards.
This is the formula for area conversion from square meters to yards and vice versa.
We are required to determine how many square yards are in 4 square meters.
Using the above conversion we have;
1 square meters = 1.19599 square yards
4 square meters = ?
We simply cross multiply;
4*1.19599 square yards = 4.7840 square yards
find x and y for a triangle with 60° and 30
Answer:
90 degrees
Step-by-step explanation:
FIGURE IT OUT
x=15 and y=25.98 or 26
The ratio of football players to soccer players in the room was 5 to 7. If the football and soccer players in the room totaled 48, how many where football players?
Answer:
There are 20 football players
maria has 30 sheets of green paper. she uses 3/5 of the sheets for a project. how many sheets of paper does maria use for the project.
Answer:18
Step-by-step explanation:
Answer:
i think the answer is 18
Step-by-step explanation:
help me with this question
Answer:
D. 1/6.
Step-by-step explanation:
1/6 = 0.1666...These are all of the steps to completely get the correct answer to this question.
Hope this help!!!
Kyle.
I believe the answer is D
Help ????? Pleasseee?
Answer:
C
Step-by-step explanation:
There is a right triangle formed by the slant height, h and the radius
Use Pythagoras' theorem to solve for h
With radius = 8 ft ( half the diameter ) , slant height is hypotenuse
h² = 17² - 8² = 289 - 64 = 225
Take the square root of both sides
h = [tex]\sqrt{225}[/tex] = 15 → C
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance between points A and B is 264 miles. What is the speeds of the cars, if one of the cars travels 14 mph faster than the other?
PLEASE ANSWER THANKS 20 POINTS
The answers are:
[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]
Why?To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to calculate one in function of the other.
So, let be the first car speed "x" and the second car speed "y", writing the equations we have:
For the first car:
[tex]x_{FirstCar}=x_o+v*t[/tex]
For the second car:
We know that the speed of the second car travels 14 mph faster than the first car, so:
[tex]x_{SecondCar}=x_o+(v+14mph)*t[/tex]
Now, we already know that both cars met after 2 hours and 45 minutes, and the distance between A and B is 264 miles, so, we can calculate the relative speed between both carsby the following way:
If the cars are moving towards each other the relative speed will be:
[tex]RelativeSpeed=FirstCarSpeed-(-SecondCarspeed)\\\\RelativeSpeed=x-(-x-14mph)=2x+14mph[/tex]
So , since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:
[tex]2hours+45minutes=120minutes+45minutes=165minutes\\\\\frac{165minutes*1hour}{60minutes}=2.75hours[/tex]
Writing the equation:
[tex]264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph[/tex]
We have, the speed of the first car is equal to 41 mph.
Now, for the second car we have that:
[tex]SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph[/tex]
So, the speed of the second car is equal to 55 mph.
Hence, the answers are:
[tex]FirstCarSpeed=41mph\\SecondCarSpeed=55mph[/tex]
Have a nice day!
Solve for y. 3.2 = 2y. please answer thanks :)
Answer:
Simplifying
3.2 = 2y
Solving
3.2 = 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3.2 + -2y = 2y + -2y
Combine like terms: 2y + -2y = 0
3.2 + -2y = 0
Add '-3.2' to each side of the equation.
3.2 + -3.2 + -2y = 0 + -3.2
Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -2y = 0 + -3.2
-2y = 0 + -3.2
Combine like terms: 0 + -3.2 = -3.2
-2y = -3.2
Divide each side by '-2'.
y = 1.6
Simplifying
y = 1.6
Step-by-step explanation:
Which circle has the SMALLEST percent shaded blue?
A)
B)
C)
D)
Answer:
The answer is B.
Step-by-step explanation:
If you look at all four circles, you can clearly tell that B has the least amount of blue shaded in.
The area of a circle is given by A(r)=pie^2 and the radius in terms of the circumference is given by r(C)=C/2pie. Find A(r(C))
Answer:
[tex]\large\boxed{A(r(C))=\dfrac{C^2}{4\pi}}[/tex]
Step-by-step explanation:
[tex]A(r)=\pi r^2\\\\r(C)=\dfrac{C}{2\pi}\\\\A(r(C))\to\text{put}\ r=\dfrac{C}{2\pi}\ \text{to}\ A(r):\\\\A(r(C))=\pi\left(\dfrac{C}{2\pi}\right)^2\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\A(r(C))=\pi\cdot\dfrac{C^2}{2^2\pi^2}\qquad\text{cancel one}\ \pi\\\\A(r(C))=\dfrac{C^2}{4\pi}[/tex]
in a game of chance players spin the pointer of a spinner with eight equal sized sections what is the probability that the pointer will land in an odd number section
Answer:
3/4
Step-by-step explanation:
Number of sections = 8
Number of sections with numbers that are odd = 6
P(odd number)
= 6/8
= 3/4
write the factors of the quadratic equation: x^2 -4x-21=0
Answer:
(x - 7)(x + 3) = 0
Step-by-step explanation:
To factorise the quadratic
Consider the factors of the constant term (- 21) which sum to give the coefficient of the x- term (- 4)
The factors are - 7 and + 3, since
- 7 × 3 = - 21 and - 7 + 3 = - 4, thus
(x - 7)(x + 3) = 0 ← in factored form
Malik buys and sells parts. he bought tires for $45
Please add more to the question.
Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
Answer:
Look to the attached graph
Step-by-step explanation:
* Lets revise how to graph the quadratic function
- Find the vertex of it
- Find the y-intercept
- Find the x-intercept
∵ f(x) = (x - 5)² + 1 ⇒ the completing square form
- The completing square form for any quadratic is
( x - h)² + k, where h and k are the coordinate of the vertex point
* Lets compare the two forms
∵ (x - h)² + k = (x - 5)² + 1
∴ h = 5 and k = 1
∴ The vertex of the parabola is (5 , 1)
- To find the x-intercept put f(x) = 0
∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides
∴ (x - 5)² = -1 ⇒ the square can not give -ve number
∴ The parabola does not intersect the x-axis
- To find the y-intercept put x = 0
∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26
∴ The parabola intersects the y-axis at point (0 , 26)
- The parabola is opened upward because the coefficient of x² is +ve
* Now lets graph it
- Look to the attached graph
Which expressions are equivalent?
3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
18x + 2y and 15x + 3x + 2x
3a + 4a + 10 and 17a
The equivalent expressions are
3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
What are equivalent expressions?
Equaivelnt expressions are expressions that the terms are equal. That is to say rearranging the terms will result to the term to be compared with it.
In this case the expressions are said to be equaivalent
Examining the expressions we can see that
3x + 5x = 8x
3(x + 4) = 3x + 12
a + b + a = 2a + b
A class of 50 students in a P.E class has dressed up for class.38% of them have on white shirts. how many students have on white shirts?
The number of students with white shirts on is 19.
The answer is 19 because you do 50 times 38 and get 1900 and divide it by a 100 and get 19.
Oliva can type 5/12 of a page in 15 minutes. If she types at the same rate how many pages will she have typed in one hour
Answer:
Olivia will have 1 2/3 pages typed in an hour.
Step-by-step explanation:
Olivia can type 5/12 of a page in 15 minutes. 15 minutes is a fourth of an hour, so to find out how many pages she will have written in an hour you can multiply 5/12 X 4. 5/12 X 4 equals 1 8/12, which can be simplified as 1 2/3.
Hope this helped you :)