Answer:
Then they'll pay $27.32
Step-by-step explanation:
In order to determine this, start by multiplying the cost of the meal by the tax amount.
25.30 * 8% = 2.02
Now add the tax to the meal cost
25.30 + 2.02 = 27.32
Brain weight bb as a function of body weight ww in fish has been modeled by the power function b=.007w2/3b=.007w2/3, where bb and ww are measured in grams. a model for body weight as a function of body length ll (measured in cmcm) is w=.12l2.53w=.12l2.53. if, over 1010 million years, the average length of a certain species of fish evolved from 15cm15cm to 20cm20cm at a constant rate, how fast was the species' brain growing when the average length was 18cm18cm? round your answer to the nearest hundredth.
To find the rate of brain growth, we calculate the derivatives of the brain weight and body weight functions. Then, we find the rate by multiplying the derivatives and substituting the average length of 18cm. The rate of brain growth is approximately 0.04 grams/cm.
Explanation:To find the rate at which the species' brain was growing when the average length was 18cm, we need to find the derivative of the brain weight function with respect to body weight and then multiply it by the derivative of body weight with respect to body length.
First, let's find the derivative of the brain weight function, b = 0.007w^(2/3), with respect to body weight, w.
Taking the derivative, we get db/dw = (2/3) * 0.007 * w^(-1/3).
Next, let's find the derivative of the body weight function, w = 0.12l^(2.53), with respect to body length, l.
Taking the derivative, we get dw/dl = 2.53 * 0.12 * l^(1.53).
Finally, to find the rate of brain growth when the average length was 18cm, we plug in the value 18 for l in the derivative of the body weight function and multiply it by the derivative of the brain weight function:
Rate of brain growth = (2/3) * 0.007 * (18)^(-1/3) * 2.53 * 0.12 * (18)^(1.53).
Rounding to the nearest hundredth, the rate of brain growth when the average length was 18cm is approximately 0.04 grams/cm.
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A. 12.2
B. 13.45
C. 16.87
D. 15.12
An integer x is divided by an integer y, and quotient is 24.the sum of these two integers is 75. what is the value of x?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of x is 72.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Let the integer be x and y.
An integer x is divided by an integer y, and the quotient is 24.
This can be written as:
x ÷ y
x/y = 24
x = 24y _____(1)
Now,
The sum of the integer is 75.
x + y = 75
From (1) we get,
24y + y = 75
25y = 75
Divide both sides by 25.
y = 3
Now,
From (2 ) we get,
x + y = 75
x + 3 = 75
Subtracting 3 on both sides.
x = 75 - 3
x = 72
We can also cross-check:
x = 72 and y = 3
= x ÷ y
= 72/3
= 24
Thus,
The value of x is 72.
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What is the degree of the polynomial 5pq2−3p6+5p6q3−6p3q5 ?
The degree of the given polynomial [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex] is 9
Explanation :
The given polynomial is [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex]
Degree of the polynomial is the highest exponent value of the terms . To find out highest exponent , we add the exponents of each term
[tex]5pq^2----> 1+2=3\\-3p^6--->6\\+5p^6q^3--->6+3=9\\-6p^3q^5---> 3+5=8[/tex]
From this we can see that the highest exponent is 9.
so the degree of the given polynomial is 9
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If a ray divides an angle into two complementary angles, then the original angle measures °
Answer:
The original angle measures [tex]90^{\circ}[/tex].
Step-by-step explanation:
We are asked to find the measure of original angle, when a ray divides an it into two complementary angles.
We know that two complementary angles add up-to 90 degree.
Therefore, the original angle is a right angle or the measure of original angle is [tex]90^{\circ}[/tex].
Triangle ABC has vertices A(–2, –3), B(–5, –3), and C(–4, –2). The triangle is rotated 90° counterclockwise around the origin.
A) A’(3, 2), B’(3, 5), C’(2, 4)
B) A’(3, –2), B’(3, –5), C’(2, –4)
C) A’(–3, –2), B’(–3, –5), C’(–2, –4)
D) A’(–3, 2), B’(–3, 5), C’(–2, 4)
What is the area of a section of pavement that is 20 ft wide and 50 yd long? give your answer in square feet?
How to find the equation of a parabola given the vertex and one point?
To find the equation of a parabola given the vertex and one point, use the vertex form of a parabola equation: y = a(x - h)² + k.
Explanation:To find the equation of a parabola given the vertex and one point, you can use the vertex form of a parabola equation: y = a(x - h)² + k. Here's how:
Determine the values of h and k from the given vertex.Use the given point to substitute the values of x and y in the vertex form.Solve for a to find the equation of the parabola.For example, if the vertex is (2, 3) and the point is (4, 5), the equation of the parabola would be y = 1(x - 2)² + 3.
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Mrs. Rodriquez has 24 students in her class. Ten of the student or boys. Jeff Claims that the ratio of boys to girls in the class must be 5:12. What is Jeff’s error and how can he correct it?
A. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.
B. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 14:10 or 7:5.
C. Jeff did not write the ratio in the correct order. He should Of written as 24:10.
D. Jeff did not write the ratio in the correct order. He should of written it as 12:5
PLEASE HELP ASAP!
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
a)2x–y=4
b) 2x–y=0
c) x+3y=0
d) 2y–6=0
Final answer:
To write each equation in slope-intercept form and identify the slope and y-intercept, rearrange the given equations. a) 2x - y = 4: slope = 2, y-intercept = -4. b) 2x - y = 0: slope = 2, y-intercept = 0. c) x + 3y = 0: slope = -1/3, y-intercept = 0. d) 2y - 6 = 0: slope = 0, y-intercept = 3.
Explanation:
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept. To write each equation in slope-intercept form and identify the slope and y-intercept, we can rearrange the given equations.
a) 2x - y = 4
First, we rearrange the equation to isolate y: -y = -2x + 4, then we rewrite as y = 2x - 4. Therefore, the slope is 2 and the y-intercept is -4.
b) 2x - y = 0
Rearranging the equation gives y = 2x. The slope is 2 and the y-intercept is 0.
c) x + 3y = 0
Isolating y, we get y = -1/3x. The slope is -1/3 and the y-intercept is 0.
d) 2y - 6 = 0
Solving for y, we find y = 3. The slope is 0 and the y-intercept is 3.
Mr. Mask suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30% lower than $2075. What was the price the travel agent found? Explain and Show your work.
PLEASE HELP!!
Which functions have graphs that are steeper than the graph of f(x)=−3x^2 ?
Select all correct answers.
A.)
k(x)=3x^2
B.)
j(x)=2x^2
C.)
g(x)=−4x^2
D.)
h(x)=−2x^2
E.)
m(x)=4x^2
There are 184 students going on a field trip. there is 1 chaperone for four students. 50 students can fit on one bus how many busses with there be
184 / 4 = 46 chaperones needed
184 + 46 = 230 total people
230/50 = 4.6
5 busses are needed
In a shopping mall, shoppers who use a reward points card get a 10% discount on every transaction. If the average transaction is $450 for customers with these cards, and $500 for other customers, what happens to the expected value of a transaction?
Final answer:
The expected value of a transaction decreases by 10% for customers using a rewards points card, going from $500 to $450 per transaction as they receive a 10% discount.
Explanation:
The question pertains to the expected value of a transaction at a shopping mall considering different discounts for customers who use a rewards points card. The expected value takes into account the average (mean) value of transactions and the discounts applied to those transactions. With shoppers using the rewards card receiving a 10% discount, the average transaction value for these customers is $450, compared to $500 for those without the card.
If we calculate the expected value for a transaction without considering the card, it would simply be the average transaction amount of $500. However, when including the rewards card usage, we have to account for the discount. Therefore, the expected value for a transaction from a customer using the rewards card is 10% less than $500, which equals $450. This means the expected value for a transaction with the card has decreased by $50 compared to customers without the card.
To summarize the effect, use of the rewards card reduces the expected value of transactions for the business, given that a discount is provided. On the other hand, it incentivizes customers with savings, potentially increasing customer loyalty and the frequency of visits, which might offset the decrease in expected transaction value in a broader business strategy.
1. Please express your answer in scientific notation.
(6.0 x 10^5) x (3.0 x 10^4) =
A. 18 x 10^20
B. 18 x 10^9
C. 1.8 x 10^20
D. 1.8 x 10^10
If a number is divisible by both two and three then we can say the number is divisible by
simple it is divisible by both
is the answer is both 2 and 3
Tanner walked a total of 8 kilometers by making 2 trips to school. How many trips will Tanner have to make in all to walk a total of 12 kilometers?
The total number of trips is x to walk a total of 12 kilometers is 3 trips if Tanner walked a total of 8 kilometers by making 2 trips to school.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Tanner walked a total of 8 kilometers by making 2 trips to school.
Let the total number of trips be x to walk a total of 12 kilometers.
8 km → 2 trips
12 km → x trips
8x = 24
x = 24/8
x = 3 trips
Thus, the total number of trips is x to walk a total of 12 kilometers is 3 trips if Tanner walked a total of 8 kilometers by making 2 trips to school.
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Write a polynomial function of least degree with zeroes 0 and - 2. write your answer using the variable x and in standard form with a leading coefficient of 1.
What two numbers can you multiply to get 130?
Joe was making mixed nuts. He used 2 1/4 pounds of peanuts and 3 1/5 pounds of cashews. How many pounds of mixed nuts did Joe make?
Answer:
the answer is B.
Step-by-step explanation:
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Evaluate 4(6) + 7 (5 - 3 )
A: 118
B: 80
C: 10
D: 38
A bakery offers a sale price of $3.40 for 3 muffins. What is the price per dozen? The price per dozen muffins is $
What is the sum of the coefficients of the expression 3x4+5x2+x3x4+5x2+x?
add like terms
x^3x^4 = x^7
5x^2 + 5x^2 = 10x^2
you end up with x^7 +3x^4 + 10x^2 +x
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The sum of the measures of two interior angles of a triangle equals 150°. What is the measure of the third angle?
A.30°
B.40°
C.50°
D.60°
The average of your first three test grades is 78. what grade must you get on your fourth and final test to make your average 80?
what is 2340 divided by 53?
What is the measure of A and what is the measure of B
(5y-3) = (3y+27) -3y from both sides
2y-3 = 27 +3 to both sides
2y= 30 divide both sides by 2
y=15
check
5X15-3 = 3x15+27
72 = 72
correct that y=15 and that each angle is 72
in that shape correlating angles are the same so...
360-72-72= 216
216 divided by 2= 108 degrees
B is equal to 108 degrees
A is equal to 72 degrees
Jina purchased a prepaid phone card for $30 . Long distance calls cost 22 cents a minute using this card. Jina used her card only once to make a long distance call. If the remaining credit on her card is $25.82 , how many minutes did her call last?
Write as a sum of logarithms log 1/2 (abc)