For this case we have that the equation of the border line of the region is given by:
[tex]y = -2x-3[/tex]
To know the sign of inequality, we must evaluate a point that belongs to the region and verify if it is fulfilled.
As the border line is dotted, we discard options A and C.
Then, we evaluate the point (-2, -4)
Option B: [tex]y <-2x-3[/tex]
[tex]-4 <-2 (-2) -3\\-4 <4-3\\-3 <1[/tex]
Is fulfilled!
Thus, the region is given by the inequality of option B.
Answer:
Option B
Marc baked brownies in the brownie pan shown below. Each day, he is going to eat 20 square centimeters of brownie from the pan.
For how many days does Marc have brownies before they run out?
The shape is a trapezoid with the top part being 29 cm in length, and the bottom being 41 cm in length. The height is 20 cm.
Answer:
[tex]35\ days[/tex]
Step-by-step explanation:
step 1
Find the area of the trapezoid (brownie pan)
[tex]A=\frac{1}{2}(29+41)20=700\ cm^{2}[/tex]
step 2
To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie
[tex]\frac{700}{20}=35\ days[/tex]
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
Solve: 6 + 2g > 10 plz answer I need to finish my home work before tomorrow
Answer:
G > 2
Step-by-step explanation:
Answer:
6+2g >10
6-6+2g>10-6
2g>4
divide by 2
2g/2> 4/2
g>2
Answer is g>2
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)
Evaluate the function f(p) = p2 + 3p + 1 for p = -2.
Answer:
- 1
Step-by-step explanation:
To evaluate substitute p = - 2 into f(p)
f(- 2) = (- 2)² + 3(- 2) + 1 = 4 - 6 + 1 = - 1
The answer should be -1
Can someone help please
.18/.48= .375x 100= 37.5%
how to find the cosine of 81 in terms of sine?
Answer:
Step-by-step explanation:
The cosine of angle Ф is √(1 - sin²Ф), which is positive if our angle 81 degrees is in Quadrant I.
sin 81° = 0.9877, so (sin 81°)² = 0.9755, and
cos 81° = 1 - 0.9755 = 0.0245
To find the cosine of 81 degrees in terms of sine, we use the identity cos(Ф) = sin(90° - Ф), giving us cos(81°) = sin(9°).
To find the cosine of 81 degrees in terms of sine, we use the trigonometric identity that relates sine and cosine for complementary angles. The cosine of 81 degrees is the same as the sine of 9 degrees, because 81 and 9 add up to 90 degrees. The trigonometric identity is cos(Ф) = sin(90° - Ф).
Using this identity:
cos(81°) = sin(90° - 81°)
= sin(9°).
Therefore, the cosine of 81 degrees is equal to the sine of 9 degrees.
What is the first step in solving this system of equations by elimination?
2x – 2y = 5
5x + 2y = 9
A. Subtract the two equations.
B. Add the two equations.
C. Solve for y.
D. Multiply each equation by 2. Please select the best answer from the choices provided
Answer:
B. Add the two equations.
Step-by-step explanation:
Lets solve our system of equations step-by-step
Step 1. Add the two equations
2x – 2y = 5 +
5x + 2y = 9
----------------
7x = 14
Step 2. Solve for x in the resulting equation
7x = 14
[tex]x=\frac{14}{7}[/tex]
x = 2
Step 3. Replace the value of x in any of the original equations
2x – 2y = 5
2(2) – 2y = 5
4 – 2y = 5
-2y = 5 - 4
-2y = 1
[tex]y=-\frac{1}{2}[/tex]
We can conclude that the correct answer is: B. Add the two equations.
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!
Dilbert and Donna had a combined gross income of $227,300 in 2009. When filing their federal income tax return with the Married Filing Jointly filing status, they took the standard deduction of $11,400, claimed themselves as exemptions for $3650 each, and did not have any other adjustments to income. According to the following table, which income tax bracket did they fall into?
The income tax bracket fall into 28%.
What is the income tax?Income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction. Income tax is used to fund public services, pay government obligations, and provide goods for citizens.What is income tax with example?Taxes levied on the earnings of companies and individuals are referred to as income taxes. Earnings subject to income taxes can come from diverse sources, including wages, salaries, dividends, interest, royalties, rents, gambling winnings, and product sales.
Why is income tax a thing?The purpose of the income tax was to make up for revenue that would be lost by tariff reductions. The US Supreme Court ruled the income tax unconstitutional, the 10th amendment forbidding any powers not expressed in the US Constitution, and there being no power to impose any other than a direct tax by apportionment.What are the types of income tax?Wealth Tax. If you want to know about the different types of income tax, start with the wealth tax. Corporate Tax. As per the IT Act of 1961, national as well as international corporate organisations are also required to pay corporate tax. Capital Gains Tax.
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mia spins the spinner two times. what is the probability that the arrow will land on 2 both times
Answer
how many sides are there to the spinner?
Step-by-step explanation:
i need to knowhow many there are in order to give you a probibility
A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and a height of 5 centimeters. What is the surface area of the prism? Enter your answer in the box. cm²
For this case we have that by definition, the total surface area of a right prism is given by:[tex]SA = ph + 2B[/tex]
Where:
p: Perimeter of the base
h: It's the height
B: It is the area of the base
So:
[tex]B = 6 * 2\\B = 12 \ cm ^ 2\\p = 6 + 6 + 2 + 2 = 16 \ cm[/tex]
So, we have:
[tex]SA = 16 * 5 + 2 (12)\\SA = 80 + 24\\SA = 104 \ cm ^ 2[/tex]
Answer:[tex]104 \ cm ^ 2[/tex]
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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WILL GIVE BRANLY Which Union general was fired from his job after the Battle of Antietam? A Lee B Scott C Sherman D McClellan
Answer: George McClellan did
Step-by-step explanation:
Answer:
D McClellan
Step-by-step explanation:
In 1862, president Abraham Lincoln decided to relieve General George McClellan of his command after the Battle of Antietam. The reason is McClellan was unable to concentrate his forces effectively, so the Confederate army shifted his defenders to block each of three Union thrusts. Besides, he was unable to employ his large reserved forces to ensure success.
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.
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
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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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
Help me solve this please
The side across angle 18 is the opposite side. The perpendicular angle that touches the same line is adjacent. To figure out the length of JL, we need to use the measurement 34.6 mm (hypotenuse). So in this equation we will use hypotenuse to find opposite. Hypotenuse and opposite result in Sin on the calculator. So on the calculator, you would find the Sin of 18 and then multiply that number by 34.6. The answer would then be 10.7 (rounded).
Answer: 10.7 mm (rounded)
Answer:
JL ≈ 10.7 mm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin18° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{34.6}[/tex]
Multiply both sides by 34.6
34.6 × sin18° = JL, hence
JL ≈ 10.7 ( to 1 dec. place )
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]
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]
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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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
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]
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.
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)))
Two cab rides cost the same amount for the same number of miles, m. Which situation can be represented by the equation 2.50 + 0.50m = 1.00 + 0.75m?
Answer:
If the number of miles is 6
Step-by-step explanation:
Since they vary with different rates ($/mile in our case), such equality can only be true for a specific amount of miles. Less miles and the left part ($2.50...) would be higher, more miles and the right part ($1.00...) would be higher because it grows faster.
So, that's the number of miles for which the equation is true?
2.50 + 0.50m = 1.00 + 0.75m
Let's regroup similar terms:
1.50 = 0.25m
the isolate m
m = 6
So, if the ride covers 6 miles, the equation is true:
2.5 + 0.5 (6) = 1.00 + 0.75 (6)
2.5 + 3 = 1 + 4.50
5.5 = 5.5
Answer:
One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.
Step-by-step explanation:
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
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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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]