Answer:
- 14
Step-by-step explanation:
Step 1:
- 0.5x - 3 = 4 Equation
Step 2:
- 0.5x = 7 Add 3 on both sides
Step 3:
x = 7 ÷ - 0.5 Divide
Answer:
x = - 14
Hope This Helps :)
3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answer:
O a=0
Step-by-step explanation:
Suzy randomly picks marbles from a bag containing 18 identical marbles. How many possible outcomes are there if she selects 2 marbles?
Answer:
1
Step-by-step explanation:
if the marbles are all the same there are no possible outcomes besides 1
The number of possible outcomes if she selects 2 marbles is 153.
Given that, Suzy randomly picks marbles from a bag containing 18 identical marbles.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
So, number of possible outcomes if she selects 2 marbles is
18C2 = 18!/2!(18-2)!
= (18×17×16!)/(2!×16!)
= (18×17)/(2×1)
= 9×17
= 153
Therefore, the number of possible outcomes if she selects 2 marbles is 153.
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Constraints are
A. quantities to be maximized in a linear programming model.
B. quantities to be minimized in a linear programming model.
C. restrictions that limit the settings of the decision variables.
D. input variables that can be controlled during optimization.
Answer:
C.
Step-by-step explanation:
Restrictions that limit the settings of the decision variables. Therefore, option C is the correct answer.
What is linear programming?Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints.
Constraints are conditions or restrictions imposed on a system in order to ensure that it functions properly. In linear programming, constraints are used to limit the settings of the decision variables in order to ensure that the model's objective is met. For example, a constraint might be that the sum of two decision variables must equal a certain value. The constraints help to ensure that the solution obtained from the model is feasible and meets the objectives of the problem.
Therefore, option C is the correct answer.
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someone please help
Answer:
28
Step-by-step explanation:
78
if you invest $550.00 and your annual interest is 4%, what will be the interest
The annual interest is $22.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Given;
Amount invested= $550
Annual interest= 4%
SI= 550*4*1/100
=5.5*4
=22
Therefore, the simple interest will be $22.
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Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Use the equation below to find c, if a=43 and b= 53.
C= = 180-a-5
Answer:
180-a-5
180-43-5
180-48
180-48=132
c=132
Translate this sentence into an equation.
41 is the sum of 18 and Raj's age.
Use the variable r to represent Raj's age.
Write an equation for the line that passes through (4, 5) and (6, 7).
|
Answer:
y=x+1
Step-by-step explanation:
The first step I took was to find the slope. A slope is equal to the rise over the run. The equation goes up 2 for every 2 it goes over, which means that the slope is 2/2 or 1. Then you need to determine the y intercept. I usually go about this by thinking logically about the problem. Because there is a point at (4,5) and the slope is 1, there must also be a point at (3,4) (2,3) (1,2) and (0,1) Because the x value in (0,1) is 0, we know that the y intercept must be 1, so I added 1 to the equation. The last step is putting it all together. We know that a linear equation is y=mx+b (m being the slope, b being the y-intercept) so the final equation is y=x+1
Find BC.
Round to the nearest tenth.
Naomi's dining room is 7 yards wide and 7 yards long. Naomi wants to install wooden trim around the top of the room. The trim costs $9.00 per yard. How much will it cost Naomi to buy enough trim?
y<-x-2
5x+y<2 system of equations
Answer:
I dont know if they go together or if there apart.
Step-by-step explanation:
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Light travels about 186,000m/s. The function d(t)=186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 18 s?
So, light travels 3,348,000 miles in 18 seconds.
How light travels from the given path?The function d(t) = 186,000t gives the distance d(t) in miles that light travels in t seconds. To find out how far light travels in 18 seconds, simply substitute 18 for t in the component and optimise:
\(186,000 * 18 = 3,348,000 miles = d(18).\)
In a vacuum, light moves in a straight line at a constant speed. Light travels at a slower rate in other materials, such as air or glass, and can also be bent or refracted. Light is a type of electromagnetic radiation, or energy that travels through space. The speed of light in a vacuum is considered to be one of the fundamental constants of nature and is denoted by the symbol "c". It is the fastest speed that anything can travel and is a crucial concept in physics and astronomy.
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Convert the measurement
3 tons = { } pounds
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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I need help on this question
Answer:
it is 74389
Step-by-step explanation:
you do 74 + 094904
A certain shade of paint is made by mixing 5 parts blue paint with 2 parts white paint. To get the same shade of paint how much white paint should be mixed with 8.5 quarts of blue paint?
Answer:
5 parts blue + 2 parts white = certain color
8.5 parts blue (= 5 /5 *8.5)
so we will need 2 /5 *8.5 = 3.4 parts white
what is 2.48 divided by 8
Answer:
.31
Step-by-step explanation:
Answer:
0.31
Step-by-step explanation:
Help me I will give Brainlyest
Answer:
1. 3/4
2. 32/33
3. 1/2
4. 16/49
Step-by-step explanation:
5
Select the correct answer.
If the domain of the function, f, is restricted to x 20, which function is the inverse off?
f(x) = 91² - 12, 20
O A. q(z) = √2+1
√√2-12
3
OB. h(z)
OC. p(z) = √2-12
c.
9
√2+12
D. g(x)
O D.
The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9
How to find the inverse of the function?Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function
f(x) = 9x²- 12 for x ≥ 0.
To find the inverse of the function, we proceed as follows.
f(x) = 9x²- 12
Let f(x) = y
So, we have that
y = 9x²- 12
Adding 12 to both sides of the equation, we have that
y + 12 = 9x²- 12 + 12
y + 12 = 9x²
Dividing both sides by 9, we have that
(y + 12)/9 = 9x²/9
(y + 12)/9 = x²
Taking square root of both sides, we have that
√x² = √(y + 12)/9
x = √(y + 12)/9
Now, replacing x with y, we have that
x = √(y + 12)/9
y = √(x + 12)/9
Replacing y with f⁻¹(x), we have that
f⁻¹(x) = √(x + 12)/9
So, the inverse is p(x) = √(x + 12)/9
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Given that f (x) = x help me plz
Answer:
Step-by-step explanation:
f(x) + g(x) = x^2 - 2x + x + 12
f(x) + g(x) = x^2 - x + 12
(f + g)( -1) = 1 + 1 + 12 = 14
f(x) - g(x) = x^2 - 2x - x - 12
f(x) - g(x) = x^2 - 3x - 12
(f + g)(-1) = (-1)^2 -(3)(-1) -12
(f + g)(-1) = 1 + 3 - 12
(f + g)(-1) = - 8
The table shows the age of a painting (x) in years, and its estimated dollar value (y).
A 4-column table with 6 rows. Column 1 is labeled x with entries 50, 54, 62, 65, 68, sigma-summation x = 299. Column 2 is labeled y with entries 1,200, 1,500, 2,400, 3,200, 4,100, sigma-summation y = 12,400. Column 3 is labeled x squared with entries 2,500, 2,916, 3,844, 4,225, 4,624, sigma-summation x squared = 18,109. Column 4 is labeled x y with entries 60,000, 81,000, 148,800, 208,000, 278,800, sigma-summation x y = 776,600.
Which regression equation correctly models the data?
y = 41.47x + 0.09
y = 41.47x + 1,279.93
y = 153.32x – 6,688.54
y = 153.32x – 6,325.76
Regression equation correctly models the data is: y = -43.98x + 1,279.93
To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.
Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.
The slope (m) can be calculated using the formula:
\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)
Plugging in the values from the table:
m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)
m = (776,600 - 3,708,800 / 6(18,109) - 89,401)
m = (-2,932,200 / 66,654)
m ≈ -43.98
The y-intercept (b) can be calculated using the formula:
b = (Σy - m(Σx)) / n
Plugging in the values from the table:
b = (12,400 - (-43.98)(299)) / 6
b ≈ 1,279.93
The correct regression equation that models the data is:
y = -43.98x + 1,279.93
Out of the given options, the correct regression equation is:
y = -43.98x + 1,279.93
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please helpppp btw not sure if the letter clicked is right or not it just won’t let me un select lol
Find the derivative of the function and then evaluate at the given point y=2x^2-5x; (-1, 7)
The slope of the tangent line to the function \(y=2x^2-5x\) at the point (-1, 7) is -9.
As per the question given,
The derivative of a function represents its instantaneous rate of change or slope of the tangent line at any point on the function. To find the derivative of the given function, we can use the power rule, which states that the derivative of \(x^n\)is \(nx^{(n-1)}.\)
Applying the power rule to \(y=2x^2-5x\), we get:
\(y' = d/dx (2x^2-5x)= 4x - 5\)
Now we can evaluate this derivative at the given point (-1, 7) by plugging in x=-1:
\(y' = 4(-1) - 5= -9\)
Therefore, this means that if we were to draw a straight line tangent to the curve at that point, it would have a slope of -9. This information is useful for understanding the behavior of the function and its rate of change at that particular point.
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During one month, 4/10 of Lake Okeechobee is covered in a harmful algal bloom. By the next month, Lake Okeechobee is 90% covered. By how many times does the algal bloom increase?
If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.
In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.
Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:
(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times
Therefore, the algal bloom increased by 2.25 times.
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
By what percent does the number of wolves change each year?
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
Percent calculation.
To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.
The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.
To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:
Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
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Anyone know how to solve this?, it’ll help a lot
The total feet of steel wire needed to secure the pole is 26 using Pythagoras Theorem.
What is Pythagorean Theorem?
A fundamental idea in mathematics pertains to the lengths of the sides of a right triangle and is known as the Pythagorean theorem. It claims that the hypotenuse's square length, which is the side that faces the right angle, equals the sum of the squares of the lengths of the other two sides of any right triangle. The Pythagorean theorem, which is named after the ancient Greek mathematician Pythagoras who originally proved the theorem, has extensive applications in areas including geometry, trigonometry, and physics.
Let the length of the wire = x.
Using Pythagoras Theorem we have:
x² = 12² + 5²
x² = 144 + 25
x² = 169
x = √(169)
x = 13
For two steel wires:
2(13) = 26 ft.
Hence, the total feet of steel wire needed to secure the pole is 26.
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