A turkey casserole (30 servings) uses 3.75 pounds of the turkey breast. To scale the recipe for 50 servings we need 6.75 pounds turkey.
What is a pound?The currency of the United Kingdom and nine of its affiliated territories is called sterling (stg; ISO code: GBP). The primary unit of sterling is the pound (sign: £), while the term "pound" is also frequently used to refer to the British pound or pound sterling in foreign settings.
The oldest currency that is still in the circulation and has been used continuously since its origin is sterling. After US dollar, the euro, and the Japanese yen, it is currently the fourth most traded currency on the foreign exchange market. It makes up basket of currencies used to determine the value of IMF special drawing rights along with other three currencies and the renminbi. Midway through 2021, sterling is also fourth most-held reserve currency in global reserves.
if 30 servings uses = 3.75 pounds
then, 1 serving = 3.75 pounds/ 30
50 servings = [tex]\frac{3.75}{30} * 50[/tex]= 6.25 pounds
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what is perpendicular to the line y= -1/4 x+3
Answer: B
Step-by-step explanation: i got it because i
Can yiu show me how to set it up and the answer please [tex]when \: k {}^{3} - 17k + 32 \: is \: divided \: by \: k + 5[/tex]
When the polynomial is divided by the linear expression we get the quotient k² -5k +8 and the remainder -8.
Polynomials are used in many areas of mathematics. For example, they are used in arithmetic and mathematical methods to approximate other functions. They are also used to describe linear combinations, which are encountered in a variety of situations, from basic physics and biology to economics and science.
From straightforward word problems to intricate scientific conundrums, polynomial equations are utilised to represent a wide range of topics. Algebraic varieties and polynomial rings, two essential concepts in algebra and computational geometry, are constructed in mathematics using harmonics.
The simplest way to do the long division is:
[tex]\begin{array}{r}k^2-5k+8\phantom{)} \\x+5{\overline{\smash{\big)}\,k^3-17k+32\phantom{)}}}\\\underline{-~\phantom{(}(k^3+5k^2)\phantom{-b)}}\\-5k^2-17k+32\phantom{)}\\\underline{-~\phantom{()}(-5k^2-25k+40)}\\ -8\phantom{)}\end{array}[/tex]
Hence the division will give quotient quotient k² -5k +8 and the remainder -8.
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Help me solve this please
Answer:
56
Step-by-step explanation:
[tex]\binom{8}{3}=\frac{8!}{5!3!}=56[/tex]
The coldest recorded temperature in the United States is
–
80°F, in Alaska. The warmest recorded temperature in the United States is 134°F, in California.
How much higher is the warmest recorded temperature than the coldest recorded temperature?
The warmest recorded temperature than the coldest recorded temperature is 54oF
How to determine the amount of temperature difference?The given parameters are:
Coldest recorded temperature = 80°F, in Alaska
Warmest recorded temperature = 134°F, in California
Next, we calculate the difference between these temperatures
Difference = Warmest recorded temperature - Coldest recorded temperature
Substitute the known values in the above equation
Difference = 134 - 80
Evaluate
Difference = 54
Hence, the amount of temperature difference is 54oF
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How do I solve this?
Answer:
????
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!!
The value of the variable 'A' which is a consecutive digit in the card is: 6
What is consecutive digits?
In mathematics, the consecutive digits are those digits whose difference between the two terms are constant. And the pattern of the terms should be continuous. It is used for the calculation based problems.
According to the question, the given data states that the 14 digits of a credit card has sum of the three consecutive digits is 18.
Therefore, at the end the blank box between 8 and 4 can be written as:
8 + m + 4 = 18 ⇒ m = 18 - 12 = 6 ⇒ m =6
Now, the pattern for the last three digits be: 864.
The pattern is repeating and the whole IN number is 64864864864864.
Hence, the value of the variable 'A' which is a consecutive digit in the card is: 6
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Find the sum of 8.6 x10 ^6and 3.7x 10^5
Answer:
8.97 x 10^6
Step-by-step explanation:
To add in scientific notation, the exponents need to be the same for the bases of 10. You can either make them both to the exponent of 6 or 5. It does not matter. I made them both to the power of 5
(8.6 x10^6 ) + (3.7 x10^5 )
(86 x 10^5) + (3.7x10^5)
(86 x 3.7) x 10^5
89.7 x 10^5 Rewrite in scientific notation
8.97 x 10^6
Find the intervals of increase for the polynomial. Rounded to the nearest 10th
From the graph we can conclude:
The function is increasing for the following interval:
[tex]x\in\mleft\lbrace(-\infty,0\mright)\cup(2,\infty)\}[/tex]Answer:
(-∞,0), (2,∞)
A textbook store sold a combined total of 283 math and sociology books in a week. The number of sociology textbooks sold was 89 less than the number of math textbooks sold. How many textbooks of each type were sold
How to find the percent of a number
Explanation:
y% of some value, x:
Convert y to a decimal by dividing y by 100.
Then multiply that decimal value to x.
Find the equation of a line that has a slope of m=1/5 and passes through the point (0, 9). Express your answer in slope-intercept form. Enter your answer in the box.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{5}}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{1}{5}x+9 \end{array}}[/tex]
AP. The product of two whole numbers is 96 and their sum is less than 30. List all of the possibilities for the
two numbers.
Answer:
12 and 8; 16 and 6; 24 and 4
Step-by-step explanation:
Select the number line that plots these numbers.5, -2, 1, –4
Find the number line that dotted only the numbers 5,- 2, 1, -4, which is clearly the last option.
subject identification numbers in a certain scientific research project consist of two digits followed by four letters and then two more digits. Assume repetitions are not allowed within any of the three groups, but digits in the first group of two may occur also in the last group of two. How many distinct identification numbers are possible?
The number of ways in which three digits can be written is 720 ways.
The number of ways in which 3 letters can be written is 15600.
How to illustrate the information?From the information, the subject identification numbers in a certain scientific research project consist of two digits followed by four letters and then two more digits.
The ways in which three digits can be written will be:.
= 10P 3
= 10! / (10-3)!
= 10 × 9 × 8
= 720 ways
The number of ways in which 3 letters can be written will be:
= 26P3
= 26! / ( 26 - 3)!
= 26! / 23!
= 26 × 25 × 24
= 15600
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Use what you know about domain to select all of the following functions that could be the one graphed.
Using transformations, more specifically a translation, the functions that could represent the one graphed are given as follows:
y = sqrt(x) - 3.y = sqrt(x) - 1.Why is the transformation in this problem a translation?We first consider the parent square root function, defined as follows:
y = sqrt(x).
It's domain, that is, the possible values that the input x can assume, is given as follows:
x ≥ 0.
The graphed function has the same domain as the parent square root function, just with a different range, as it was shifted down, assuming the following format:
y = sqrt(x) - a.
In a translation, the function keeps the same format and orientation, just changing it's position, which is what happened in this case.
The possible translations are:
1 unit down, hence a = 1 and y = sqrt(x) - 1.3 units down, hence a = 3 and y = sqrt(x) - 3.The other functions would change the domain of the function, hence they are not possible.
What is the missing information?The information to solve this problem is given by the image at the end of the answer.
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4x4 + 2x
Pleaseeeeee helpppp
Answer:
2x (2x³ + 1)
Step-by-step explanation:
To get the answer factor 2x^1 / 2x of ( 4x^4 + 2x )
When you factor an expression, you are looking for a number which can perfectly divide into another number.
Remember that the numerical timetable states that (2 x 2 = 4).
And we already know that (2 divided by 4 = 2), as well as, that any rational number divided by itself is equal to 1
Therefore the value 2x is divisible by itself and is also divisible by 4x^4 exactly two times
Note: the reason why (4x^4 ÷ 2x ) becomes (2x³), is that you have to subtract the exponents of each term from each other after you finish dividing. So ( X^4 - X^1 = X^3) -
Always remember that any term in a polynomial expression which doesn't have a visible power attached to it is already at the first power
24. Carlos bought a cube-shaped aquarium. Write
an expression to represent the volume of the
aquarium.
3s
Volume of the aquarium is 27 [tex]s^{3}[/tex]
What is volume of cube ?The total number of cubic units that a cube totally fills up is referred to as its volume. An object with six square faces that is three dimensional is called a cube. The amount of space an object takes up in total is known as its volume. Space would be taken up by an object having a larger volume.
Volume of cube formula ?Depending on the inputted inputs, many formulas can be used to determine the volume of any cube. You may figure it out by measuring the diagonal of the cube or its sides.
Given that : Carlos bought a cube shaped aquarium with side 3s
As the aquarium have cube shape so the volume will be
Volume of cube is V =[tex]a^{3}[/tex]
a = 3
V = 27 [tex]s^{3}[/tex]
Hence ,Volume of the aquarium is 27 [tex]s^{3}[/tex]
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Express the polynomial in descending order.
4+ y4 - 9y³
y4 - 9y3 +4
Step-by-step explanation:
solo tienes que ordenarlo de mayor a menor de las variables
Please Help this is due in 4 minutes!!!!!
Will give Brainiest
Precalculus transformation review
The original function and its expression derived from rigid transformations are defined below:
Original: f(x) = |x|; Image: g(x) = |x - 3| + 2Original: f(x) = |x|; Image: g(x) = |x + 4| - 2Original: f(x) = |x|; Image: g(x) = - |x| - 3Original: f(x) = x²; Image: g(x) = (x - 3)² - 2Original: f(x) = √x; Image: g(x) = √(- x) + 5How to use rigid transformations to modify functions
In this problem we must use rigid transformations to change the definition of a series of functions. Rigid transformations are transformations applied on functions such that its form is not altered. There are the following transformations, which are used in the five cases:
Horizontal translation
g(x) = f(x - k), translation is to the right for k > 0.
Vertical translation
g(x) = f(x) + k, translation is upward for k > 0
Reflection over the x-axis
g(x) = - f(x)
Reflection over the y-axis
g(x) = f(- x)
Now we proceed to present the image of each function after using a sequence of rigid transformations:
f(x) = |x|; g(x) = |x - 3| + 2f(x) = |x|; g(x) = |x + 4| - 2f(x) = |x|; g(x) = - |x| - 3f(x) = x²; g(x) = (x - 3)² - 2f(x) = √x; g(x) = √(- x) + 5To learn more on rigid transformations: https://brainly.com/question/1761538
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Please help me I have had help with the 3 one but I can not reproduce it. Thank you to who helps me.
Note that:
[tex]\int f(x) \text{ } dx=-e^{-x/5}+C[/tex]
Part (b)
[tex]\int^{1}_{0} f(x) \text{ } dx =-e^{-1/5}+e^{0} \approx 0.1813[/tex]
Part (c)
[tex]\int^{\infty}_{0} f(x) \text{ } dx =1.0000[/tex]
Part (e)
[tex]\int^{6}_{1} f(x) \text{ } dx \approx 0.5175[/tex]
The precipitation, in inches, Tampa normally receives each month for the last four months of the year is as follows: 6.3, 2 3/10, 1.6, and 2 1/2. Write and evaluate an expression to determine how much precipitation, in inches, Tampa receives from September through December.
Answer:
12.7 inches======================
Convert the mixed fractions into decimal and find the sum as follows:
6.3 + 2 3/10 + 1.6 + 2 1/2 = 6.3 + 2.3 + 1.6 + 2.5 = 12.7X =
(5x - 7)
(8x-55)
Answer:
The triangle shown is an isosceles triangle. It has two equal sides and the base angels are equal.
5x - 7 = 8x - 55
3x = 48
x = 16
Help please!!!!!!!!!!!!
An estimate of the quotient is in improper fraction [tex]\frac{133}{60}[/tex]. An estimate of the quotient is in mixed fraction [tex]2 \frac{13}{60}$$[/tex]
[tex]6 \frac{1}{3} \div 2 \frac{6}{7}$$[/tex]
Convert mixed numbers to improper fractions: [tex]$\quad 6 \frac{1}{3}=\frac{19}{3}$[/tex]
[tex]=\frac{19}{3} \div 2 \frac{6}{7}$$[/tex]
Convert mixed numbers to improper fractions: [tex]$2 \frac{6}{7}=\frac{20}{7}[/tex]
[tex]$=\frac{19}{3} \div \frac{20}{7}$[/tex]
Apply the fraction rule: [tex]$\frac{a}{b} \div \frac{c}{d}=\frac{a}{b} \times \frac{d}{c}$[/tex]
[tex]=\frac{19}{3} \times \frac{7}{20}$$[/tex]
Multiply fractions: [tex]$\frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}$[/tex]
[tex]=\frac{19 \times 7}{3 \times 20}$$[/tex]
Multiply fractions:[tex]\frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}$[/tex]
[tex]=\frac{19 \times 7}{3 \times 20}$$[/tex]
Multiply the numbers: [tex]$19 \times 7=133$[/tex]
[tex]=\frac{133}{3 \times 20}$$[/tex]
Multiply the numbers: [tex]$3 \times 20=60$[/tex]
[tex]=\frac{133}{60}$$[/tex]
Convert improper fractions to mixed numbers: [tex]$\frac{133}{60}=2 \frac{13}{60}$[/tex]
[tex]=2 \frac{13}{60}$$[/tex]
When it comes to adding Mixed or Improper fractions, we can have either the same denominators for both the fractions to be added or the denominators can differ too.
A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
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17. The area of a square poster is 31 square inches. Find the length of one side of the poster. Explain.
PART A
To the nearest whole inch
PART B
To the nearest tenth of an inch
The length of one side of the poster, when the area of a square poster is 31 square inches is
Part A = 6 inch (To the nearest whole of an inch)
Part B = 5.6 Inch (To the nearest tenth of an inch)
As given in the question,
Area of square poster = 31 sq. inches
Let 'l' be the length of the square poster
Now according to formula
Area of square poster = Length * Length
Substitute the values in the formula we get,
31 = l × l
⇒ l² = 31
⇒ l = √31
⇒ l = 5.568
Length = 5.568
Hence, the length of one side of the poster, when the area of a square poster is 31 square inches is
Part A = 6 inch (To the nearest whole of an inch)
Part B = 5.6 Inch (To the nearest tenth of an inch)
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A jet travels 1324 miles against a jetstream in 2 hours and 1584 miles with the jetstream in the same amount of time. what is the rate of the jet in still air and what is the rate of the jetstream rate of the jet in still air ___mi/hrate of the jetstream___ mi/h
In still air, the rate of the jet is Distance traveled/ time taken
[tex]\frac{1324}{2}=662\text{ mi/h}[/tex]With the jetstream, the rate of jetstream is
[tex]\frac{1584}{2}=792\text{ mi/h}[/tex]Qube learning
Summative Test - Formulae N/L1..
REVISION AVAILABLE
V
2019 FS L1 Word Formulae Summative
Ella wants to put a wire fence around her property. What is the length of the fence she would need to buy to cover her property?
Thirty-five students attend a math club meeting. The number of girls at the meeting is a multiple of 13, and there are more girls than boys attending the meeting. How many boys are at the meeting?
Answer: 9 boys
Reason:
The multiples of 13 are
13, 26, 39, 52, ...
We only need to focus on the first two since they are smaller than 35
So we focus on 13 and 26
If there are 13 girls, then there are 35-13 = 22 boysIf there are 26 girls, then there are 35-26 = 9 boysThe second option has more girls than boys, so that must mean there are 26 girls and 9 boys.
Solve for x. Enter the solutions from least to greatest.
x²+x-42=0
lesser x =
greater x =
Solve the following equation to find the value of x:
9x-4=5x+12
Answer: x=4
Step-by-step explanation:
First find the smallest x which would be 5x and subtract that from the 9x. So now it should be 4x-4=12. Then, move 4 and add that to the twelve which should now be 4x=16. Then, divide it by four and you get x=4.
Answer:
x = 4
Step-by-step explanation:
We start from
9x - 4 = 5x + 12
We move the "5x" to the left side of the "=" sign by changing it's sign from 5x which can be seen as +5x to -5x
9x - 4 - 5x = 12
Now we move the "4" to the right side of the "=" sign by applying the same principle as above, so -4 turns to +4
9x - 5x = 12 + 4
We than solve the subtraction and addition
4x = 16
Then we divide both sides of the equation by 4 and we get
x = 4