Answer:
[tex]4x^2 +8x + 16[/tex]
Step-by-step explanation:
2 (3x - 1) + 2 (2x^2 + x + 9)
6x - 2 + 4x^2 +2x + 18
4x^2 + 8x +16
The value of the equation is A = 2B + 2C = 4x² + 8x + 16
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of B is
B = 3x - 1 be equation (1)
And , the value of C is
C = 2x² + x + 9 be equation (2)
The value of 2B = 2 ( 3x - 1 )
2B = 6x - 2 be equation (3)
The value of 2C = 2 ( 2x² + x + 9 )
2C = 4x² + 2x + 18
Now , the equation will be
A = 2B + 2C
A = 6x - 2 + 4x² + 2x + 18
On simplifying the equation , we get
A = 4x² + 8x + 16
Therefore , the value of A is 4x² + 8x + 16
Hence , the equation is A = 4x² + 8x + 16
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A retail store sold a case of candles for $17.85 that had been marked up 110%. What was the original price of the table
The original price of the case of candles before markup was $8.50.
Markup price is the price that comes after setting up additional layer of pricing on the original price of a good. In this case also markup price is there. To find the original price of the case of candles before markup, we can use the following formula:
Original price = Marked up price / (1 + markup percentage)
In this case, the original price would be:
$17.85 / (1 + 110%) = $17.85 / 2.10 = $8.50
So the original price of the case of candles before markup was $8.50.
Thus, Original price is $8.5
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Suppoe that the tatitical power of a tudy deign i 80% to detect a treatment effect of 0. 5 tandard deviation, and that take-up of the program i 100%. Other thing equal, do we have more, le, or the ame amount of power to detect an effect ize of 0. 4 SD?
The correct option is option C which states that , less than 80% power to detect the standard deviation is 0.4.
We know that the power is less and the effect size is small therefore we can say that all other things given as equal, it's harder to detect than the larger effect. As a result power is reduced.
Statistical power is a measure of research efficiency that is estimated before the study begins . This is done so as to predict the likelihood of discovering an actual effect rather than receiving a false negative result or, in the worst case scenario, overestimating the effect by identifying noise in the data.
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How to convert log2 to log10?
To convert the log2 to log10, we can use the convert of base formula for logarithms. The change of base formula for logarithms is as written:
log b(x)=logc(x) / logc(b)
By Using this formula, we can convert or find log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following:
log2(x)=log10(x)/log10(2) = log(x)/log (2)
This gives us the formula we can use to convert a logarithm with base 2 to a common logarithm with base 10.
The log function of e to the base 10 is denoted as “log 10 e”. Where the value of e is 2.7182818. The natural log function of e is presented as “log e e”.
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What is the surface area of the right rectangular prism with square bases
pictured below with measurements a = 5 cm, b = 8 cm?
Answer:
210 cm²
Step-by-step explanation:
SA = Ph + 2B
where SA = surface area
P = perimeter of the base
h = height of the prism
B = area of the base
SA = [(8 + 8 + 8 + 8)(5) + 2(5²) ]cm²
SA = 210 cm²
Answer:
288 cm^2
Step-by-step explanation:
1 Find the sum: 34.7 + 7.5 = ? A. 42.2 OB. 4.22. OC. 422 46
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
add 34.7 and 7.5 by lining up the decimal points and then adding the top and bottom
if f(x) =mx + c , find f(1)=5 and (-2) =1
Answer:
f(4) = 11 → mx + c = 11 → 4m + c = 11.
f(5) = 13 → mx + c = 13 → 5m + c = 13.
Subtract #1 from #2, giving m = 2.
Then, for x=4, mx + c = 11 → 2(4) + c = 11 → c = 3.
Finally, for x=2, mx + c = 2(2) + 3 = 7.
Answer:
sorry
Step-by-step explanation:
Is 2x3 is a polynomial?
In 2x^3, 3 is the greatest degree of the exponent. 2x^3 is a cubic polynomial as a result.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An example of a polynomial of a single indeterminate x is x² − 4x + 7.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.
For instance, the polynomial 3x+2x-5.
By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.
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PLEASE HELP. I'LL DO ANYTHING THAT'LL BENEFIT YOU.
If you double the amount of fluid ounces, the amount of cups also double
There is a proportional relationship between the number of fluid ounces and the number of cups. So, the number of cups would change by the same factor as the number of fluid ounces.
The cost of renting equipment is sometimes proportional; because, it depends on whether the equipment has a rental fee and charge per hour or just a charge per hour. Option A.The cost of mailing a letter is proportional to the weight. The cost of mailing a 6-ounce letter is $2.82. Option BThe donation is proportional to the dinner bill
The donation for a dinner bill of $50 is $9
How to determine proportional relationship?If there are 8 fluid ounces in one cup
8 : 1 = 16 : x
8/1 = 16/x
8 × x = 16 × 1
8x = 16
x = 16/8
x = 2
The difference between weight = 1
The difference between cost = $0.68 - $0.47
= $0.21
$0.89 - $0.68
= $0.21
$1.10 - $0.89
= $0.21
Cost of mailing 6-ounce letter
1 : 0.47 = 6 : x
1/0.47 = 6/x
1 × x = 6 × 0.47
x = $2.82
The donation for a dinner bill $50 is
Dinner bill : donation
25 : 4.50 = 50 : x
25/4.50 = 50/x
25 × x = 50 × 4.50
25x = 225
x = 225/25
x =$ 9
Therefore, there is a proportional relationship between two quantities if there is an equal change in the values of both quantities.
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Use the drop-down menus to complete each equation so the statement about its
solution is true.
Answer:
Step-by-step explanation:
A class is learning about proportions and ratios, so the teacher decides to use the data about students in the local high school. There are 500-600 students and 29 - 32% of the student body participates in athletics. Which of the following is the most reasonable estimate of the number of students who are considered athletes
Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.
What do you mean by estimate?In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.
mid-value of 500-600 = 550
average % = 30.5%
Athletes number = 30.5% of 550
=168
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what's the answer to the pic
A. 3 2/3
B. 2 2/3
C. 3 1/3
D. -7 1/3
Answer: 2 2/3
Step-by-step explanation:
-2 1/3-(-5)
-7/3-(-5)
8/3
2 2/3
A bookstore had 90 copies of a magazine. Yesterday, it sold 2/5 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?
Answer:
24 magazines
Step-by-step explanation:
Okay, I hope this is right...
So I did
90 * 2/5= 36
and then,
36 * 2/3= 24
The logo on a recycling bin resembles an equilateral triangle with side lengths of 6 centimeters. Approximate the area of the logo.
Answer:
9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²
Step-by-step explanation:
Use the formula for the area of an equilateral triangle, A = [tex]\frac{\sqrt{3} }{4}[/tex]a²
Plug in the side length, 6 cm, as a in the formula:
A = [tex]\frac{\sqrt{3} }{4}[/tex](6²)
A = [tex]\frac{\sqrt{3} }{4}[/tex](36)
A = 9[tex]\sqrt{3}[/tex]
So, the area of the logo is 9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²
He observes that the cells triple every 3 hours. If he starts with 15 cells, how many will he have in 24 hours?
Answer:
98,415
Step-by-step explanation:
24/3=8
15 x 3x3x3x3x3x3x3x3 =98,415
The rectangle below represents the base of a rectangular prism. If the
height of the prism is 6 centimeters, find the total volume of the prism.
Answer:
64
Step-by-step explanation:
hiiii
to find volume the formula is
base * width * height.
so all we would have to do here is:
5 1/3 * 2 * 6=64.
hope this helped you :)
A bag of strawberry candy takes 2 2/5 ounces of strawberries to make.
Answer:
6 2/5 ounces
Step-by-step explanation:
2 6/9 x 2 2/5 = 6 2/5
Hope that helps! :)
-Aphrodite
A website has a daily trivia contest. On mondays, wednesday, fridays, you have 1 ½ hours to submit an answer. On tuesdays and thursdays you have 1 ¼ hours. On saturdays and sundays you have only ¾ of an hour. How many hours each week do you have to submit an answer?
Answer:
8 1/2 hrs/wk
Step-by-step explanation:
3(1 1/2 hrs) plus
2(1 1/4 hrs) plus
2(3/4 hr)
The LCD here is 4. Convert 3(1 1/2 hrs) to 3(1 2/4 hrs), so that we now have:
3(1 2/4 hrs) = 3 6/4 hrs
+2(1 1/4 hrs) = 2 2/4 hrs
+2(3/4 hrs) = 6/4 hrs
-------------------------------------
5 14/4 hrs, or
5 + 3 2/4 hrs, or
8 1/2 hours/week
Manuel is ordering an ice cream dessert. He must order a size, a flavor of Ice cream, and a topping. There are 6 sizes, 2 flavors, and 1 topping to choose from.
How many different ice cream desserts could he order?
How can you determine if the length of the 3 sides would make a triangle?
we can use the Triangle inequality Theorem a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side
How to Determine if Three Side Lengths Are a Triangle?It's simpler than it seems to determine whether a triangle has three side lengths. The Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side, will suffice. You will have a triangle if this holds true for each of the three possibilities of increased side lengths.
1 . Triangle Inequality Theorem
smaller than the total of the first two sides. You will have a valid triangle if this holds true for each of the three possible combinations. To confirm that the triangle is feasible, you will need to go through each of these combinations one at a time. Theorem a+b > c, a+c > b, and b+c > a can alternatively be thought of as an inequality. The triangle has sides of lengths a, b, and c.
In this case, a, b, and c are each equal to seven.
2. Check to see if the sum of the first two sides is greater than the third
Check to see if the sum of the first two sides is greater than the third adding the sides a and b yields 17, which is larger than 5, or 7 plus 10. It can alternatively be considered as 17 > 5.
3. Check to see if the sum of the next combination of two sides is greater than the remaining side
just see if the sum of sides a and c are greater than the side b.[4] This means you should see if 7 + 5, or 12, is greater than 10. 12 > 10,
4. Check to see if the sum of the last combination of two sides is greater than the remaining side.
Check to see if side b and side c added together are greater than side a. To accomplish this, you must determine whether 10 Plus 5 is greater than 7. The triangle is complete on all sides since 10 + 5 = 15 and 15 > 7.
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Function rules from equations
For a given input value q, the function f outputs a value r to satisfy the following equation.
11g 4= 3r6
Write a formula for f(g) in terms of q.
f(q) =
Stuck? Review related articles/videos or use a hint.
Report a problem
On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
11g +4= 3r-6
g = 0
3r = -10
r = -10/3
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Plsss hurry i need help brainliest involed
What type of lines will be presented by the system of equations 2x 3y 6 and 4x 6y 11?
The system of equations 2x+3y=6 and 4x+6y=11 will present two lines in the coordinate plane.
The linear equation is a mathematical expression that describes a straight line in a coordinate plane. It is of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis). Linear equations can also be expressed in other forms, such as ax + by = c, where a, b, and c are constants.
Since each equation represents a line, and the system has two equations, it will have two lines. The lines will be in slope-intercept form (y = mx + b), with different slopes and y-intercepts. The lines will intersect at one point, which is the solution to the system of equations.
The system of equation will present the unique straight line as the solution in two-dimensional coordinate plane.
Two lines in the coordinate plane will present the system of equations 2x+3y=6 and 4x+6y=11 .
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A right triangle has the height of 20 cenimeters and a base of 10 cenimeters what is the area of the triangle
Answer:
100
Step-by-step explanation:
Area of a triangle is b*h/2
So it's 10*20/2 which is 100
6,000mL=............L
Step-by-step explanation:
1L=1000mLso 6000mL÷1000mL*1L=6LI hope it helps have a great weekend!!a garden has an area of 32 square feet what is the smallest possible perimeter
Answer:
24 feet
Step-by-step explanation:
factors that produce an area of 32:
1x32 Would give a perimeter of 66
2x16 Would give a perimeter of 36
4x8 Would give a perimeter of 24
Katelyn needs to cover her sofa cushions. If each cushion is a 10 in. by 11 in. by 4 in. rectangular prism, and there are 3 cushions that make up her sofa, determine how many square inches of fabric she needs to cover ALL the cushions on the sofa.
Answer:
1,164 in²
Step-by-step explanation:
the area of 1 sofa cushion =
2× ( 10×11 + 10×4 + 11×4)
= 2 × (110+40+44)
= 2×(194)
= 388 in²
the fabrics she needs to cover 3 sofa cushions =
3 × 388 = 1,164 in²
What are the angles of a 5 12 13 triangle?
The angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.
The angles of a triangle are determined by the triangle's side lengths. This is known as the Law of Cosines. To determine the angles of a 5-12-13 triangle, we can use the Law of Cosines formula:
Cos(A) = (b² + c² - a²) / 2bc
In this equation, A is the angle opposite side a, b is the angle opposite side b, and c is the angle opposite side c. In a 5-12-13 triangle, a = 5, b = 12, and c = 13.
Using the Law of Cosines formula, we can calculate the angle A:
Cos(A) = (12² + 13² - 5²) / 2(12)(13)
Cos(A) = (144 + 169 - 25) / 156
Cos(A) = 278 / 156
Cos(A) ≈ 1.78
Using a calculator, we can calculate the angle A:
A = cos-1 (1.78)
A ≈ 81.19°
Using the same Law of Cosines formula, we can calculate the other two angles of the triangle:
Cos(B) = (a² + c² - b²) / 2ac
Cos(B) = (5² + 13² - 12²) / 2(5)(13)
Cos(B) = (25 + 169 - 144) / 65
Cos(B) = 50 / 65
Cos(B) ≈ 0.77
Using a calculator, we can calculate the angle B:
B = cos-1 (0.77)
B ≈ 48.76°
We can also calculate the angle C:
Cos(C) = (a² + b² - c²) / 2ab
Cos(C) = (5² + 12² - 13²) / 2(5)(12)
Cos(C) = (25 + 144 - 169) / 60
Cos(C) = 10 / 60
Cos(C) ≈ 0.17
Using a calculator, we can calculate the angle C:
C = cos-1 (0.17)
C ≈ 9.98°
Therefore, the angles of a 5-12-13 triangle are A = 81.19°, B = 48.76°, and C = 9.98°.
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What is the discriminant? What is the type and number of solutions?
-8x² +4x-1=0
Answer:
x= 1/4 - 1/4 x= 1/4 + 1/4
Step-by-step explanation:
Answer:
Type: (+ ve)
Number of solutions: 2
Step-by-step explanation:
Discriminant:The discriminant of the quadratic formula is the section under the radical. It tells us whether there are two solutions, one solution, or no solutions.D = b² - 4acWe are given an equation (-8x² + 4x - 1 = 0)
Now, change the sign
-8x² + 4x - 1 = 0
8x² - 4x + 1 = 0
Here,
a = 8b = (-4)c = 1Now, discriminant
D = b² - 4ac
D = (8)² - (4)(8)(1)
D = 64 - 32
D = 32 > 0
Here, 32 is greater than 0 so, it has two solutions.
Extra Information:b² - 4ac > 0 ↬ (+ ve), 2 solutionsb² - 4ac = 0 ↬ (= 0), 1 solutionb² - 4ac < 0 ↬ (- ve), No solutionanswer fast need in 10 min
10 equally sized slices of the spinner's 250 results. 25 times were made by Diane's dial. 12 spins are for 208.33333333333334 .
What is the probability of spinner?12 spins are for 208.33333333333334, 5 spins are worth 500, and 8 spins are worth 312.5. There are eight possibilities each time you spin the spinner (1-8). One of these eight options is for you to land on the number 8. In this case, the probability is 18.
If you spin three times and fall on red (or any other colour), the likelihood is 3/30. The likelihood that the spinner will land on an even number is 5/10. The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it.
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Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
The first function is linear, with a y-intercept of 20, and a slope of 4:
S(x)=4x+20
The second function is exponential and has a multiplier of 2 and an initial value of 3:
J(x)=3(2)x
The game number for each function is represented by x, while the score for each game is represented by y. Each has a domain of 0, 1, 2, 3, 4, 5, 6, 7 and 8.
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
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