Answer:
$0.14
Step-by-step explanation:
Average it out. 1.68÷12=0.14
Answer:
$0.14
Step-by-step explanation:
1.68/12= 0.14
What is the percent approximate percent decrease when a fish count goes down from 850 to 500
the answer is 40% hope this helps
Answer:
Aproximately 40% is the correct option)))
The height of a flare fired from a gun can be described by: h=-16+60t where t is time in seconds and h is the height in feet. How long will it take for for the flare to reach 36 feet?
A- .75 sec B- 1 sec C- 1.5 sec D- 3 sec
We are to find the time it takes a flare to reach 36 feet. After rearranging the given equation and solving for the time 't', we find that the time is approximately 0.867 seconds. However, this value is not listed in the provided options. The closest given answer choice is 0.75 seconds.
Explanation:The given equation for the height of a flare is: h = -16 + 60t where 'h' stands for height and 't' stands for time. First, we need to solve the equation for 't', as we're looking to find the time it takes for the flare to reach 36 feet.
So, the equation becomes: 36 = -16 + 60t.
We add 16 to both sides of the equation to isolate the term with 't': 52 = 60t.
Then, we divide both sides of the equation by 60. We now have: t = 52/60. Solving it returns t = 0.867 seconds.
However, this value is not listed in the given answer choices. Among the choices, the closest is 0.75 seconds, or option A. Hence, 0.75 seconds is likely the approximate value considered correct for this problem.
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If there are 850 students at school and eats 4oz of hamburger for lunch how many pounds did the students eat
Answer:
1800
Step-by-step explanation:
850*4=1800
Answer:
212.5 lb
Step-by-step explanation:
850 students × 4oz/student = 3400 oz
There are 16 ounces in a pound, so:
3400 oz × (1 lb / 16 oz) = 212.5 lb
Which algebraic expression is a trinomial? x3 + x2 – 2x3 – x2 4x3 + x2 – x6 – x +
The only trinomial among the four expressions is x^6 −x+ √6 .
A trinomial is an algebraic expression with three terms, each containing a power of the variable raised to a non-negative integer and multiplied by a coefficient.
Let's analyze each expression:
x^3 + x^2 - √x: This has three terms (x^3, x^2, and -√x), but √x contains a fractional exponent, which is not allowed in a polynomial (and therefore, a trinomial). So, it's not a trinomial.
2x^3 - x^2: This has two terms (2x^3 and -x^2), not three. Therefore, it's not a trinomial.
4x^3 + x^2 - 1/x: This has three terms (4x^3, x^2, and -1/x), but 1/x is equivalent to x^-1, which is a negative exponent.
Similarly to option 1, this violates the non-negative integer exponent requirement for polynomials. So, it's not a trinomial.
x^6 - x + √6: This has three terms (x^6, -x, and √6). Note that √6 does not contain a variable and can be considered a constant, satisfying the polynomial and trinomial requirements. Therefore, this is a trinomial.
In, the only trinomial among the given options is: 4. x^6 - x + √6 .
The trinomial expression is C. [tex]\(4x^3 + x^2 - \frac{1}{x}\).[/tex]
A trinomial is an algebraic expression consisting of three terms. Let's examine each option:
a. [tex]\(x^3 + x^2 - \sqrt{x}\)[/tex] - This is a polynomial expression, but it only has two terms, so it's not a trinomial.
b. [tex]\(2x^3 - x^2\)[/tex] - This expression has two terms, so it's not a trinomial.
c. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex] - This expression has three terms, so it is a trinomial.
d. [tex]\(x^6 - x + \sqrt{6}\)[/tex] - This expression also has only three terms, so it is a trinomial.
So, the correct answer is:
C. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex]
Complete Question:
Which algebraic expression is a trinomial?
a. [tex]$x^3+x^2-\sqrt{x}$[/tex]
b. [tex]$2 x^3-x^2$[/tex]
c. [tex]$4 x^3+x^2-\frac{1}{x}$[/tex]
d. [tex]$x^6-x+\sqrt{6}$[/tex]
Suppose you had d dollars in your bank account. You spent $12 but have at least $51 left. How much money did you have initially? Write and solve an inequality that represents this situation.
For this case we must raise an inequality.
We have "d" dollars initially and they are spent 12. Then:
[tex]d-12[/tex]
At least 51 dollars remain, then, the sign of inequality is greater or equal in favor of the expression[tex]d-12[/tex], that is:
[tex]d-12\geq 51[/tex]
Resolving:
[tex]d\geq 51 + 12\\d\geq 63[/tex]
There are at least 63 dollars left in the account.
Answer:
[tex]d-12\geq 51\\d\geq 63[/tex]
Evaluate the following expression 2+(3-2x2)x1
Answer:
answer: 1
Step-by-step explanation:
using pemdas you would first go into the parenthesis and multiply 2 by 2 the subtract that from three giving you -1. then, you would multiply that by 1 and add that to 2.
A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis.
Which could be the equation of the parabola?
[tex]\boxed{x^2=4py}[/tex]
Step-by-step explanation:A parabola is the set of all points that lies on a plane and are equidistant from a fixed line called the directrix and a fixed point called focus, that doesn't lies on the line. If the vertex is at the origin and the directrix crosses the negative part of the y-axis, then the equation takes the following forms:
[tex]\boxed{x^2=4py}[/tex]
Where the focus lies on the axis [tex]p \units[/tex] (directed distance) from the vertex.
The representation of this problem is shown below. As you can see, the vertex lies on the origin while the directrix crosses the negative part of the y-axis.
Answer:
The actually answer is x(2) = 4y
what is the solution to the system of linear equations? 2x+4y=20 and 3x+2y=26
Answer:x=8,y=1
Step-by-step explanation:
2x+4y=20
So, 4y=20-2x
So,2y=10-x
Now we can use this information to use in the second equation
3x+2y=26
3x+(10-x)=26
2x+10=26
2x=16
x=8
Now that we know that x=8, then we can solve for y.
2x+4y=20
2(8) +4y=20
16+4y=20
4y=4
y=1
Here is the process of how I did it:
Step 1: Make this equation : 2x+4y = 20 equal x by isolating x and bring everything else on the right side of the equation
2x + (4y-4y) = 20 - 4y
2x = 20 - 4y
[tex]\frac{2x}{2} = \frac{20 - 4y}{2}[/tex]
x = 10 - 2y
Step 2: In the other equation given (3x+2y=26) every time you see an x replace it with the equation solved above (x = 10 - 2y). This will help you find the y
3x+2y=26 ---> 3(10 - 2y)+2y=26
10(3) - 2y(3) + 2y = 26
30 - 6y + 2y = 26
(30-30) - 4y = (26 - 30)
[tex]\frac{-4y}{-4} =\frac{-4}{-4}[/tex]
y = 1
Step 3: In the equation you found in step 1 (x = 10 - 2y) plug 1 into all the y's so you can find x
x = 10 - 2y ---> x = 10 - 2(1)
x = 10 - 2
x = 8
Hope this helped!
Which statement is correct about the function y = x2 – 2x – 143?
A)In factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = –13 and x = 11.
B)In factored form, the function is y = (x + 13)(x – 11), so the zeros of the function are x = –13 and x = 11.
C)In factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = 13 and x = –11.
D)In factored form, the function is y = (x + 13)(x – 11), so the zeros of the function are x = 13 and x = –11.
Answer:
C: f(x) = (x - 13)(x + 11)
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: y = x^2 – 2x – 143.
x^2 – 2x – 143 factors into (x - 13)(x + 11). Note that -13x + 11x = -2x, which matches the middle term of the given function.
Thus, the zeros are {-11, 13}
Answer C is correct: f(x) = (x - 13)(x + 11).
In factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = 13 and x = –11. Option C is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
y = x² – 2x – 143
y = x² -13x + 11x - 143
y = (x - 13)(x + 11)
Let,
y = 0
(x - 13)(x + 11) = 0
Now,
zeros is given as,
x = 13 and x = -11
Thus, in factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = 13 and x = –11. Option C is correct.
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what is the value of a21?
The answer is the first one, 41.
The value of a21 is 41
To take the product of two matrices, we will multiply the row of the first matrix and the column of the second matrix to get the resulting matrix;From the given matrices, to get a21, you will multiply the second row of the first matrix with the first column of the second to have:a21 = (7*5) + (2*3)
a21 = 35 + 6
a21 = 41
Hence the value of a21 is 41
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PLEASE HELP!
The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
The formula perimeter of a rectangle= 2l+2w
If the length of the rectangle is 6 and the perimeter is 54, multiply the length by 6 and subtract the answer from 54. Then, divide the answer by 2 to get the width.
So, I will use your formula for this as it is correct:
2l+2w=54
2(6)+2w=54
12+2w=54
2w=42
42/2=21
w=21
Therefore, your length is 21. Hope this helps!
The width of the rectangle is 21cm
What is perimeter ? A perimeter is the length of fence required to surround the of an object or any figure.It is the distance around the edge of a shape. The perimeter of a rectangle= 2lenght+2wide. calculations:-given; perimerte= 54 c length= 6cm wide =(54-2*6)/2
=21 cm answer.
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The ratio of 3 to 4 and the ratio of 4 to 3____ the same number. A)Are or B)are not
Answer: Option B
Step-by-step explanation:
By definition, the ratio is a comparison between two different things. It can be written in:
Odd notation
[tex]a:b[/tex]
Fractional notation
[tex]\frac{a}{b}[/tex]
Or in words:
[tex]a\ to\ b[/tex]
Given the ratio 3 to 4 and the ratio of 4 to 3, you can rewrite them the fractional form:
[tex]\frac{3}{4}\\\\\frac{4}{3}[/tex]
To know if these ratios are the same number, divide the numerator by the denominator of each one of them:
[tex]\frac{3}{4}=0.75\\\\\frac{4}{3}=1.33[/tex]
Therefore, the ratio of 3 to 4 and the ratio of 4 to 3 ARE NOT the same number.
What is the absolute value of 1 -321?
it’s 321 because whether negative or positive it’s absolute value
1 minus 321 is -320. Since you’re finding the absolute value it’s 320
Can someone please help me
Answer:
Lines RQ and SP are perpendicular to SR
Step-by-step explanation:
SR are parallel to PQ so that means that RQ and SP are perpendicular to SR
1 2/7 divide (-2 1/4)
The answer is -4/7 or in decimal it’s -0571429
Can someone help please
.18/.48= .375x 100= 37.5%
find the 107 terms of sequence -9,-5,-1,3,7
Answer:
415
Step-by-step explanation:
the nth term of the sequence is -13 + 4n
the sequence is an arithmetic progression with nth term a + (n - 1)d
a = -9, d = a5- a4 = 7 -3 =4
nth = -9 + (n -1) 4
= -9 + 4n -4
= -13 + 4n
hence the 107th term; -13 + 4*107
-13 + 428 = 415
The product of -11.4 and zero is?
A. positive
B.zero
C.negative
Answer:
B. 0
Step-by-step explanation:
Anything multiplied by 0 is 0
ANSWER
B Zero
EXPLANATION
The product of any number and zero is still zero.
It doesn't matter how huge or small the number is.
It doesn't also matter whether the number is negative or positive.
Even the product of zero and itself is still zero.
Therefore:
[tex] - 11.4 \times 0 = 0[/tex]
The correct choice is B
A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line and passes through the point (3,4)?
Answer: [tex]y=\frac{1}{3}x+3[/tex]
Step-by-step explanation:
The equation of the line is Slope-intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" the y-intercept.
The slopes of perpendicular lines are negative reciprocal.
Then, if the slope of the first line is -3, the slope of the other line must be:
[tex]m=\frac{1}{3}[/tex]
Substitute the point (3,4) into the equation and solve for b:
[tex]4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3[/tex]
Then the equation of this line is:
[tex]y=\frac{1}{3}x+3[/tex]
ANSWER
[tex]y= \frac{1}{3} x + 3[/tex]
EXPLANATION
We want to find the equation of a line which is perpendicular to another line with slope -3 and passes through (3,4).
Our line of interest is has a slope that is the negative reciprocal of -3
[tex]m = - \frac{1}{ - 3} = \frac{1}{3} [/tex]
The equation is given by
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point and slope to get:
[tex]y-4= \frac{1}{3} (x-3)[/tex]
Expand
[tex]y-4= \frac{1}{3} x-1[/tex]
[tex]y= \frac{1}{3} x-1 + 4[/tex]
[tex]y= \frac{1}{3} x + 3[/tex]
Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth
X=3.6
See the attached photo
Without specific diagram or context, this answer is based on the relationship between tangent lines and circles. The angle between a tangent and a radius of a circle is always 90 degrees. Understanding this along with the Pythagorean theorem and trigonometric ratios will help solve for 'x'.
Explanation:Based on the information provided, it seems the question is related to circular geometry, however, we need more specific information to solve your problem such as a diagram or more context. However, if we consider that we're dealing with a tangent and a radius of a circle, it's important to know that the angle between a tangent and a radius of a circle is always 90 degrees. So, if we have an angle opposite a 90-degree angle in a right triangle, we could use tangent properties, Pythagorean theorem, or trigonometric ratios to solve for 'x'
For example, in a right triangle, tangent of an angle is equal to the opposite side length divided by the adjacent side length (tan(θ) = opposite/adjacent). Also, the Pythagorean theorem tells us that the square of the hypotenuse (radius) is equal to the sum of the squares of the other two sides (c² = a² + b²).
Those concepts and formulas are key to understanding the intersection between lines and circles, and they should assist you in solving queries closely related to this problem.
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Water and orange squash is mixed in the ratio 7 : 4 Find how much water is needed to dilute 120 cl of orange squash.
Answer:
210
Step-by-step explanation:
Divide 120 by 4 and get 30 and multiply 7 by 30 and you get 210
Final answer:
To dilute 120 cl of orange squash with a ratio of 7:4 (water to squash), you need 210 cl of water. The total mixture will be 330 cl (7+4 parts), of which 120 cl is the squash and the remainder is water.
Explanation:
The student is asking how much water is needed to dilute 120 cl of orange squash if the mixture ratio of water to orange squash is 7:4. To solve this, you need to work with ratios.
First, add the parts of the ratio together: 7 (water) + 4 (orange squash) = 11 parts in total. Now, find out how many parts of the total mixture the 120 cl of orange squash represents. Since the ratio of orange squash is 4 parts, this means that 120 cl is 4 parts of the total mixture.
We can then set up the proportion: 4 parts / 11 parts total = 120 cl / total mixture in cl. Solving for the total mixture gives us: 11 parts * 120 cl / 4 parts = 330 cl.
Finally, to find out how much water is needed, subtract the volume of orange squash from the total mixture volume: 330 cl - 120 cl = 210 cl of water.
Ashely went scuba diving and reached a depth of 23 feet below sea level. What is the absolute value of the depth Ashley reached?
Answer:
23
Step-by-step explanation:
the absolute value of -23 is 23 (distance from 0)
Can someone help me on this Plssss! Asap and show your work so it will understand.
Thanks
Answer:
the answer is C
Step-by-step explanation
type 2.08^5 and then times it to 14.08
Hello there! The answer is C.
So the equation is y = 14.08 ⋅ 2.08^x, where x stands for the number of years. You are finding the number of fish after five years, so place five in for x and solve.
y = 14.08 ⋅ 2.08^5 - Start by finding 2.08 to the 5th power. (I rounded off some decimal points since it was too long.)
y = 14.08 x 38.9329 - Next: multiply your two numbers.
y = 548.175232, or C since it is the closest whole number.
describe how (2^3)(2^-4) can be simplifed
Answer:
[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]
Step-by-step explanation:
The given expression is
[tex](2^3)(2^{-4})[/tex]
This is the same as;
[tex]2^3\times2^{-4}[/tex]
Recall that;
[tex]a^m\times a^n=a^{m+n}[/tex]
This implies that;
[tex]2^3\times2^{-4}=2^{3+-4}[/tex]
[tex]2^3\times2^{-4}=2^{-1}[/tex]
We now use the following law of exponents
[tex]a^{-m}=\frac{1}{a^m}[/tex]
This gives us;
[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]
Can someone help me please
Answer: x=54
Step-by-step explanation:
When you add up all of the sides that have to equal 360 degrees. so, the first thing that you would do is 72+72. You would do that because there are actually 2 72 in the rhombus. That equals 144. then you would do 360-144. That equals 216. Then you would do 216/4. You would do 216/4 because there are actually 4 x in the rhombus. After you divide 216/4 it equals 54. to check your work you would do 54+54+54+54+72+72. That equals 360. So the value of x = 54 degrees.
can you just measure r and times that by 72
Among all fractions x that have a positive integer numerator and denominator and satisfy 9/11 ≤ x ≤ 11/13 which fraction has the smallest denominator?
PLZ HELP WIIL MARK BRAINIEST
We want to find a fraction a/b such that
[tex]\dfrac{9}{11}\leq\dfrac{a}{b}\leq\dfrac{11}{13}[/tex]
This is true if and only if
[tex]\dfrac{9b}{11}\leq a \leq\dfrac{11b}{13}[/tex]
We can choose a value for a only if the two extremes include at least one integer, i.e. if
[tex]\dfrac{11b}{13}-\dfrac{9b}{11}\geq 1[/tex]
Solving for b, we have [tex]b>35[/tex]
So, the smallest fraction is given for [tex]b=36[/tex]. We have
[tex]\dfrac{9}{11}\leq \dfrac{a}{36} \leq \dfrac{11}{13}[/tex]
Solving for a, we have a=30.
The fraction 30/36 can be simplified to 5/6. So, we have
[tex]\dfrac{9}{11}\leq \dfrac{5}{6} \leq \dfrac{11}{13}[/tex]
and this is the smallest possible denominator.
We want to find a fraction a/b such that
\dfrac{9}{11}\leq\dfrac{a}{b}\leq\dfrac{11}{13}
11
9
≤
b
a
≤
13
11
This is true if and only if
\dfrac{9b}{11}\leq a \leq\dfrac{11b}{13}
11
9b
≤a≤
13
11b
We can choose a value for a only if the two extremes include at least one integer, i.e. if
\dfrac{11b}{13}-\dfrac{9b}{11}\geq 1
13
11b
−
11
9b
≥1
Solving for b, we have b>35b>35
So, the smallest fraction is given for b=36b=36 . We have
\dfrac{9}{11}\leq \dfrac{a}{36} \leq \dfrac{11}{13}
11
9
≤
36
a
≤
13
11
Solving for a, we have a=30.
The fraction 30/36 can be simplified to 5/6. So, we have
\dfrac{9}{11}\leq \dfrac{5}{6} \leq \dfrac{11}{13}
11
9
≤
6
5
≤
13
11
and this is the smallest possible denominator.
A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.
What is the surface area of the figure? Express the answer in terms of π.
96 + 64π cm2
96 + 80π cm2
96 + 112π cm2
96 + 128π cm2
Answer:
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
Answer:
A
Step-by-step explanation:
edge 2021
Find the value of x to the nearest tenth tan x =5
Answer:
x ≈ 78.7° (in degree)
x ≈ 1.4 (in radians)
Step-by-step explanation:
Given in the question an equation
tan(x) = 5
x = [tex]tan^{1}(5)[/tex]
x = 78.69
x ≈ 78.7°
In radian:
x ≈ 1.4
Answer:
The correct answer is x = 78.7°
Step-by-step explanation:
It is given that,
Tan x = 5
To find the value of x
If tan ∅ = x then ∅ = tan⁻¹ x =
Here we have tan x = 5
x = tan⁻¹ 5 = 78.69 ≈ 78.7°
Therefore the value of x = 78.7°
The correct answer is 78.7°
what is the inverse of y=4x-16
Answer:
x=y/4 + 4
Step-by-step explanation:
y=4x-16
-need to isolate x
add 16 to both sides.
y+16=4x
divide by 4 on both sides.
y/4 + 4 = x
Can anyone help me with this problem?
3a=9a^2-30
Answer:
X1 = 2 X= -[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
You must pass the 3 a to the other side in negative and use the quadratic formula
Answer:
Step-by-step explanation:
[tex]X1 = 2 X= -\frac{5}{3}[/tex]