Meal prepared a day = 80 meals
Vegetarian meals will be
[tex]\text{vegetarian}=\frac{3}{8}\times80=\frac{240}{8}=30[/tex]Non vegetarian meals = 80 - 30 = 50 meals
Which function has a minimum of -4?
A. y = (x - 5)² – 4
B. y = -(x-4)² - 5
C. y = (x-4)² +5
D. y = -(x - 5)² + 4
PLEASE HURRY ASAP
What is the product of (−4)(23)(−7)?
Answer:
644
Step-by-step explanation:
-4x23=-92
-92x-7=644
hope this helped :)
Answer:
644
Step-by-step explanation:
if you multiply -4 by 23 it equals -92 and then if you multiply -92 by -7 it comes out to a positive 644 because if multiplying a negative by a negative it becomes a positive.
thank you for your question and let me know if it is right or wrong
blessings!
5/6x+1/12= 15 1/3+1/3xsolve for x
Answer:
x = 61/2 = 30.5 = 60 1/2
Step-by-step explanation:
We have:
[tex]\frac{5}{6}x+\frac{1}{12}=15+\frac{1}{3}+\frac{1}{3}x[/tex]We have to find the Least Common Multiple to solve this question:
[tex]\begin{gathered} \frac{2\cdot5x+1=12\cdot15+4+4x}{12} \\ \frac{10x+1=180+4+4x}{12} \\ 10x+1=180+4+4x \\ 10x-4x=180+4-1 \\ 6x=183 \\ x=\frac{183}{6} \\ x=\frac{61}{2}=30.5=30\frac{1}{2} \end{gathered}[/tex]I need help graphing this piecewise function!
The piecewise function on the graph is,
f(x) = { 1 -3x ; if x ≤ 2
{ 4-x ; if x > 2
The graph of a piecewise function is given. The left function is defined on the interval x ≤ 2 and the right function is defined on the interval x > 2.
To find the functions we need two points on each function since both functions are straight lines.
First we will find the left function defined on x ≤ 2.
So the two points are (x₁, y₁) = (0,1) and (x₂, y₂) = (2, -5).
Now slope of the left function, m₁ = (y₂ - y₁)/(x₂ - x₁)
= -5 - 1/2 - 0
= -6/2
= -3
So the equation of the left function is,
y - y₁ = m(x-x₁)
⇒ y - 1 = -3(x-0)
⇒ y = 1 -3x
Thus the left function is f(x) = 1 -3x
Consider the right function.
The two points on the graph of the right function are (x₁, y₁) = (4,0) and (x₂, y₂) = (6, -2).
So slope of the second function, m₂ = (y₂ - y₁)/(x₂ - x₁)
= -2 - 0/6-4
= -2/2
= -1
Now equation for the right function is,
y - y₁ = m(x-x₁)
⇒ y - 0 = -1(x-4)
⇒ y = 4 -x
So the right function is f(x) = 4-x
Hence the piecewise function is,
f(x) = { 1 -3x ; if x ≤ 2
{ 4-x ; if x > 2
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Multiple choice math pls help urgent
The correct option R avg(x) = 100 - 5x, shows the average revenue function.
What is termed as the revenue function?The average revenue demonstrates how much money is made per unit of output. In other words, it computes how much revenue a company earns on average from each unit of product sold. To find the average revenue, multiply the total revenue by the number of output units.Total revenue income is the money earned by a company from the sale of a specific amount of output. Total revenue is calculated by multiplying the price by the number of units sold.For the given question;
The revenue function is given by the equation,
R(x) = 100x - 5x²
Let the
Let the total revenue be 'x'.
Then,
Average revenue function = revenue function/ total revenue
Average revenue function = (100x -5x²)/x
Average revenue function = 100 - 5x
Thus, the average revenue function is given by the equation 100 - 5x.
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simplify for 4^n
4^11/4^-8
Answer: 4^3
Step-by-step explanation:
Answer: 4^3.
Step-by-step explanation:
I have a calculus question about limit functions. Pic included.
Answer:
Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.
Explanation:
P(25, 10) lies on the curve:
[tex]y=\sqrt{x}+5[/tex]Q is the point (x, √x+5).
For any value of x, the slope of the secant line PQ is determined using the formula:
[tex]\text{ Slope of secant PQ}=\frac{(\sqrt{x}+5)-10}{x-25}[/tex](a)When x=25.1
[tex]\text{Slope of secant PQ}=\frac{(\sqrt{25.1}+5)-10}{25.1-25}=0.0999[/tex](b)When x=25.01
[tex]\text{Slope of secant PQ}=\frac{(\sqrt{25.01}+5)-10}{25.01-25}=0.09999[/tex](c)When x=24.9
[tex]\text{Slope of secant PQ}=\frac{(\sqrt{24.9}+5)-10}{24.9-25}=0.1001[/tex](d)When x=24.99
[tex]\text{Slope of secant PQ}=\frac{(\sqrt{24.99}+5)-10}{24.99-25}=0.10001[/tex]Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.
One of the legs of a right triangle measures 13 cm and the other leg measures 11 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
17.03 cm
Step-by-step explanation:
Use the Pythagorean theorem, which states a^2+b^2=c^2. 13^2+11^2=290, sqrt290 cannot be simplified down into a whole number, therefore the next closes rounded to the nearest tenth is 17.03.
my daughter is working on expression problems. i cant remember how to do this...the problem is 12(3y+x)please help me tell her how to write and solve this.
EXPLANATION
Given the expression 12(3y+x).
Let's solve it:
Applying the distributive property:
12*3y + 12*x
Multiplying like terms:
36y + 12x
The answer is 36y + 12x
Select the correct answer.What is the solution to this equation?loge + + log 3 = log (+ + 1)OA1 =IO HICOB.1 =O C.सेNICOOD. r = 1
Given the equation:
[tex]\log _6x+\log _63=\log _6(x+1)[/tex]Let's solve for x.
To find the solution, take the following steps:
Step 1:
Apply the product property of logarithm to the left side of the equation:
[tex]\begin{gathered} \log _6(x\ast3)=\log _6(x+1) \\ \\ \log _6(3x)=\log _6(x+1) \end{gathered}[/tex]Step 2:
Eliminate the log on both sides
[tex]\begin{gathered} 3x=(x+1) \\ \\ 3x=x+1 \end{gathered}[/tex]Step 3:
Subtract x from both sides
[tex]\begin{gathered} 3x-x=x-x+1 \\ \\ 2x=1 \end{gathered}[/tex]Step 4:
Divide both sides by 2
[tex]\begin{gathered} \frac{2x}{2}=\frac{1}{2} \\ \\ x=\frac{1}{2} \end{gathered}[/tex]Therefore, the solution to the given equation is:
[tex]x=\frac{1}{2}[/tex]ANSWER:
[tex]\text{ B. x = }\frac{1}{2}[/tex]Write a function rule to model each situation.
1 You are starting a yard-care business. You
decide to charge a flat fee of $15 plus a rate
of $8 per hour. Write a function rule in which
x is the number of hours and y is the total
amount you charge.
The function rule of the scenario is f(x) = 15 + 8x
How to determine the function rule?From the question, the given parameters are:
Flat fee = $15
Rate = $8
To determine the function rule of the scenario, we make use of the following template equation
f(x) = Flat fee + Rate * Number of hours
Where
f(x) = total and x = number of hours
So, we have
f(x) = Flat fee + Rate * x
This gives
f(x) = 15 + 8x
Hence, the function rule is f(x) = 15 + 8x
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Distributive property -(6v-4u-1)
STEP - BY - STEP EXPLANATION
What to do?
Apply the distributive property on the given expression.
Given:
[tex]-\left(6v-4u-1\right)[/tex]Step 1
Explain what the distributive property mean.
Distributing -1 implies multiplying -1 by each term.
Step 2
Apply the distributive property.
[tex]-\left(6v-4u-1\right)=-6v+4u+1[/tex]ANSWER
-6v + 4u +1
To estimate the height of a stone figure Anya holds a small square up to her eyes and walks backwards from the figure she stops when the bottom of the figure aligns with the bottom edge of the square and the top of the figure aligns with the top edge of the square her eye level is 1.84m from the ground she is 3.50m from the figure what is the height of the figure to the nearest hundredth of a meter
SOLUTION
Let us make a sketch that will help us solve the question
From the image I provided, let the Height of the figure be H.
Then this means that the height of the figure H is
[tex]H=x+1.84[/tex]Note that I have splitted the triangle into two.
Now, we need to find the two acute angles
[tex]\begin{gathered} \alpha\text{ and }\theta\text{ in the bigger triangle.} \\ \text{Note that }\alpha+\theta+90^o=180^o\text{ (sum of angles in the big triangle)} \end{gathered}[/tex]Now, from the triangles splitted in the right side, both are right-angles just like the first (biggest) triangle.
So we will use the trig-ratio, SOHCAHTOA to find the acute angles.
From the smallest triangle in the image,
[tex]\begin{gathered} \tan \alpha=\frac{opposite}{\text{adjacent }} \\ \tan \alpha=\frac{3.5}{\text{1.84 }} \\ \alpha=\tan ^{-1}\frac{3.5}{\text{1.84 }} \\ \alpha=62.27^o \end{gathered}[/tex]Now, the second acute angle becomes
[tex]\begin{gathered} \text{ }\alpha+\theta+90^o=180^o \\ 62.27+\theta+90=180 \\ \theta+152.27=180 \\ \theta=180-152.27 \\ \theta=27.73^o \end{gathered}[/tex]The other triangle that is the bigger one which was splitted has opposite side of 3.5m and adjacent side x, hence
[tex]\begin{gathered} \tan \theta=\frac{opposite}{\text{adjacent}} \\ \tan 27.73=\frac{3.5}{x} \\ x\times\tan 27.73=3.5 \\ x=\frac{3.5}{\tan 27.73} \\ x=6.65804m \end{gathered}[/tex]Now H becomes
[tex]\begin{gathered} H=x+1.84 \\ H=6.65804+1.84 \\ H=8.49804 \end{gathered}[/tex]Hence, the height of the figure is 8.50 m to the nearest hundreth
I'll give brainliest!
The square roots would not be between 9 and 10 is [tex]\sqrt{80}[/tex].
[tex]\sqrt[]{80}=8.944\\ \sqrt[]{90}=9.486\\ \sqrt[]{95}=9.746\\ \sqrt[]{88}=9.380[/tex]
What are square roots?
The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a, a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.
The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolized by the character "." The number behind the square root sign is referred to as the radicand, whereas the square root symbol itself is known as a radical.
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I need help with number two please and thank you
Given:
Karla has a garden that is 14 feet long.
To convert feet into yards:
We know that,
[tex]\begin{gathered} \text{3 fe}et=1\text{ yard } \\ \text{1 fe}et=\frac{1}{3}\text{yard} \end{gathered}[/tex]So, for the 14 feet,
[tex]\begin{gathered} \text{14 fe}et=\frac{1\times14}{3}\text{yard} \\ =4\frac{2}{3}yards \end{gathered}[/tex]Hence, the answer is,
[tex]4\frac{2}{3}\text{ yards (or) 4.67 yards}[/tex]Graph the line that has an x-intercept at (1, 0) and a y-intercept at (0, - 4). What is the slope of this line?
(2, y) for all real y
[if solved and correct give 30 points+ brainliest]
Answer:
You actually cannot find Y using this knowledge!
Step-by-step explanation:
( 2, y ) It only shows how X is 2, you need more information to find y. If you can respond, try to give me more information, I am willing to help!
Wha What is 12 tens in standard form
Let F(x) = f(x ^ 5) * ndG(x) = (f(x)) ^ 5 You also know that a ^ 4 = 3 , f(a) = 2 , f^ prime (a)=13 , f^ prime (a^ 5 )=2
Given the functions:
[tex]\begin{gathered} F(x)=f(x^5) \\ \\ G(x)=(f(x))^5 \end{gathered}[/tex]Additionally, we know that:
[tex]\begin{gathered} a^4=3 \\ f(a)=2 \\ f^{\prime}(a)=13 \\ f^{\prime}(a^5)=2 \end{gathered}[/tex]We use the chain rule to find the derivatives of F(x) and G(x):
[tex]\begin{gathered} F^{\prime}(x)=f^{\prime}(x^5)\cdot(x^5)^{\prime}=5x^4\cdot f^{\prime}(x^5) \\ \\ G^{\prime}(x)=5(f(x))^4\cdot f^{\prime}(x) \end{gathered}[/tex]Finally, evaluating for x = a and using the results stated before:
[tex]\begin{gathered} F^{\prime}(a)=5\cdot a^4\cdot f^{\prime}(a^5)=5\cdot3\cdot2 \\ \\ \therefore F^{\prime}(a)=30 \end{gathered}[/tex][tex]\begin{gathered} G^{\prime}(a)=5\cdot(f(a))^4\cdot f^{\prime}(a)=5\cdot2^4\cdot13 \\ \\ \therefore G^{\prime}(a)=1040 \end{gathered}[/tex]I NEED HELPPPPPPPPP HELPPP MEEEE
a) triangle with measurement 1/2 of the original measurement.
b) rhombus with measurement 2 times the original measurement.
c) parallelogram with measurement 1/4 of the original measurement.
The polygon is 2- dimensional figure and is any closed curve made of continuous edges also called the sides without intersecting each other, the corner of a polygon is called the vertices, the are of basically two types regular and irregular, whereas The scale factor a polygon the ratio of one side of a polygon to the comparing side of the other is called the scale factor. The proportion of all parts of a polygon, including diagonals, perimeter, and heights is the same as the proportion of the sides.
a) the given scale factor is 1/2 and, we need to construct a scale copy of the triangle having sides measurements 1/2 of the original measurements.
b) the new polygon must have the measurements 2 times the original measurements of the polygon .
c) the new polygon must have dimensions 1/4 of the dimensions of the original measurements.
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1/6 (x-3) = 1/3 (x+2)
The value of x in the equation given as 1/6(x - 3) = 1/3(x + 2) is 7
How to evaluate the equation?The equation is given as
1/6(x - 3) = 1/3(x + 2)
From the question, we can see that the equation is a linear equation with one variable
As a general rule: linear equations are equations that have constant average rates of change.
We start by multiplying both sides of the equation by 6
So, we have the following equation
6 * 1/6(x - 3) = 1/3(x + 2) * 6
Next, we evaluate the products
So, we have the following equation
x - 3 = 2x + 4
Next, we collect the like terms
So, we have the following equation
2x - x = 3 + 4
Evaluate the like terms in the above equation
x = 7
This means that the solution of the equation is 7
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the freshman class is selling popcorn and candles as a fundraiser popcorn and sell them for $5 a bag and candle sell $15 each a total of 824 items were sold and 5555 was raised how many of each item was sold
Step 1. Define our variables.
[tex]undefined[/tex]what is the scale factor form polygon ABCD to the polygon PQRS
The scale factor in this polygon comparison can easily be found as 1.5 because when we divide the length of for example side PS (3 units) by the size of side AD (its pre-image which measures 2 units) we get:
3/2 = 1.5
We could try also the same with any other of the sides in image and pre-image, like PQ comared to AB. PQ has a length of 1.5 units, while AB has a length of 1 unit. Then:
PQ/AB = 1.5/1 = 1.5
Convert the following angle from degrees to radians. Express your answer in simplestform.285°
Answer:
19π/12
Explanation:
We know that
180 degrees = π radians
and we are asked
285 degrees = ? radians?
This can be treated as a ratio problem by saying that
[tex]\frac{180}{\pi}=\frac{285}{x}[/tex]where x is the angle in radians.
Cross multpication gives
[tex]180x=285\pi[/tex]dividing both sides by 180 gives
[tex]x=\frac{285\pi}{180}[/tex][tex]x=\frac{19}{12}\pi[/tex]where we have used the fact that 285/12 = 19/12.
If the interest rate changed from 10%
to 2%, what would happen to
borrowing?
A. Debtors would less likely want to borrow.
B. There would be a government law against rising
interest rates.
C. There would be no impact on borrowing.
D. There would be an increase in borrowing.
Consequently, borrowing would increase with the change in interest rate from 10 % to 2 %. The correct answer is Option D.
What happens to interest rates when borrowing becomes more expensive?The greater the ability of banks to lend, the greater the amount of credit available to the economy. And as the supply of credit expands, so does the cost of borrowing (interest). The amount of credit available to the economy decreases as lenders decide to postpone loan repayment.What effect does a change in interest rates have on business borrowing?Higher interest rates make it more expensive for businesses to borrow money through loans and lines of credit, and they also affect how much interest you pay on credit card or home purchase purchases.
Given that the interest rate has risen from 10% to 2%.
Borrowers can easily borrow by paying less interest now that the interest rate has dropped from 10% to 2%.
As a result, borrowing would increase with the decrease in interest rates. Option D is thus correct.
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How does slavery and oppression of other people impact you?
Slavery and oppression of other people impact others as it brings about discrimination and fear.
What is slavery?In the olden days, slavery was so lucrative that the Mississippi River valley produced more millionaires per capita than any other region of the country. With cash crops like tobacco, cotton, and sugar cane, the southern states of America developed into the country's economic engine.
In Africa, the slave trade had a terrible impact. A culture of lawlessness and violence was encouraged by the financial incentives provided to warlords and tribes to participate in the slave trade. Economic and agricultural development in a large portion of western Africa was virtually impossible due to depopulation and a persistent fear of enslavement.
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How do you simplify (9^12)^7 is it
9^84
81^84
81^19
9^19
(9¹²)⁷
Use the rules of exponents to simplify the expression. To raise a power to another power, multiply the exponents.
9¹² ˣ ⁷
Multiply 12 by 7.
9⁸⁴
Answer: 9^84 is the answer!
Step-by-step explanation:
PLS HELP ASAP WILL GIVE BRAINLIST
The values a = 10 and b = -6 will make the quadrilateral QRST a parallelogram
What values of a and b will make QRST a parallelogram?For the quadrilateral QRST to be a parallelogram, the diagonal lines TR and QS divide each other into two equal parts at P. Therefore, we can say:
For diagonal line QS, QP = PS:
-a + 27 = -6a + 77
-a + 6a = 77 -27
5a = 50
a = 50/5
a = 10
For diagonal line TR, TP = PR:
2b + 24 = -8b - 36
2b + 8b = -36 - 24
10b = -60
b = -6
Therefore, the value of a and b that will make the quadrilateral QRST a parallelogram is a = 10 and b = -6.
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A basket holds m apples you pick 2n-3 apples and your friends picks n+4 how many baskets do you need to carry all the apples.
Answer: The number of baskets = (3n+1)/m
Step-by-step explanation:
The total number of apples picked:
yours (2n-3) + your friend (n+4)
Divide the combined total by the number in one basket (m):
((2n-3)+(n+4))/m
Simplify:
(3n+1)/m
I need help again……..
Answer:
me again. hope it can help.lol
Answer:
See below
Step-by-step explanation:
For this equation to have non-real roots, the discriminant (b^2 - 4ac) of the Quadratic Formula must be < zero
b^2 - 4ac < 0 b = 5 a = (n-2) c = -2
5^2 - 4 ( n-2)(-2) <0
25 + 8n - 16 <0
8n + 9 < 0
8n < -9
n < - 9/ 8