p(x) * r(x) = ab^x * cd^x
p(x) * r(x) = (a*c)*(b^x*d^x)
p(x)*r(x) = ac(bd)^x
For the last step, I used the rule that (ab)^x = a^x*b^x
Final Answer: ac(bd)^xThe product of two exponential functions p(x) = ab^x and r(x) = cd^x is calculated by following the rules of exponents in mathematics, resulting in p(x) * r(x) = a * c * (bd)^x
Explanation:The student is asking for the product of two exponential functions. If p(x) = ab^x and r(x) = cd^x, their product can be calculated as follows:
Firstly, recognize each function as an exponential. The base of the exponential in p(x) is b, and in r(x) is d. Multiply the two equations together. This can be done because the operations defined for the exponential can be applied when the base of two exponential functions are the same. Substitute p(x) and r(x) back into the equation. We get: p(x) * r(x) = ab^x * cd^x Apply the rules of exponents in math, more specifically the multiplication rule, which states that a^m * a^n = a^(m+n). So, p(x) * r(x) = a * c * (bd)^xLearn more about Multiplication of Exponential Functions here:
https://brainly.com/question/31278590
#SPJ2
An office supply store carriers a all-in-one printer with a regular price of $240. The printer is on sale at 15% off. In addition, the store is offering a $20 mail-in rebate. How much will it cost a customer to purchase this printer, including 5% sales tax on the in-store purchase price?
Answer:
Price of the printer is = $193.20
Step-by-step explanation:
Office supply store purchased an all in one printer wit a regular price = $240
After 15% off price of the printer = $240 - 15% of $240
= [tex]240-\frac{15\times 240}{100}[/tex]
= 240 - 36
= $204
The store is offering $20 mail in rebate so the price of printer after rebate
= $204 - $20
= $184
Now price of the printer including sales tax = 184 + 5% of 184
= 184 + [tex]\frac{5\times 184}{100}[/tex]
= 184 + 9.20
= $193.20
Answer:
284.20
Step-by-step explanation:
THIS IS THE ANSWER I HAD THE SAME QUASTION!!!!!
Write this ratio as fraction in simplest form 20 ounces to 2 pounds
Answer:
Step-by-step explanation:
Final answer:
To convert the ratio of 20 ounces to 2 pounds into the simplest form, multiply 2 pounds by the conversion factor of 16 to equal 32 ounces. The fraction 20/32 is then simplified to 5/8, which is the simplest form of the ratio.
Explanation:
To convert the ratio of 20 ounces to 2 pounds into a fraction in simplest form, you must first know the unit equivalence between pounds and ounces, which is 1 pound = 16 ounces. Since we are converting pounds to ounces, we multiply the number of pounds by 16. Therefore, 2 pounds is equivalent to 2 x 16 = 32 ounces. Now, we have a ratio of 20 ounces to 32 ounces, which can be expressed as a fraction 20/32. To simplify, both numbers can be divided by the greatest common divisor (GCD) of 4, resulting in 5/8. Thus, the ratio of 20 ounces to 2 pounds in the simplest form is 5/8.
Which expression is equivalent to (x+1)^2-g/x+4?
Answer:
[tex]\frac{x^2+2x+1-g}{x+4}[/tex]
Step-by-step explanation:
We are given the following expression and we are to evaluate it and find the expression equivalent to it:
[tex] \frac { ( x + 1 ) ^ 2 - g } { x + 4 } [/tex]
We know that [tex](a+b)^2=a^2+2ab+b^2[/tex] so we will expand the term [tex] ( x + 1 ) ^ 2 [/tex] according to this to get:
[tex](x+1)^2=x^2+2x+1[/tex]
Therefore, we get the expression:
[tex] \frac { x ^ 2 + 2 x + 1 - g } { x + 4 } [/tex]
Answer:
x-2
Step-by-step explanation:
edge 2022
Julio has $2.75 in his pocket in nickels and dimes . The number of dimes is 10 less than twice the number of nickels. Find the number of each type of coin
A Dime is worth 2 nickels which equals 10.
let no of dimes be x
let no of nickles be y
so as per the data mentioned in the question , x=2*y-10
total amount = $2.75
so total amount should comprise of nickels and dimes
x*dimes + y*nickels = $2.75
x*( 2 nickels)+ y *nickels = $2.75
=> nickles( 2x+y) = $ 2.75
but 20 nickels = 1 dollar
nickles(2x+y) = 2.75*20 nickels
cancelling nickles on both sides
2x+y = 55
already we know that x= 2y-10
so 2(2y-10) +y= 55
4y-20+y=55
5y -20 =55
So, your answer is 55.
Answer: 15 nickels and 20 dimes
Step-by-step explanation:
Nickels (N) = N and each is worth $0.05
Dimes (D) = 2N - 10 and each is worth $0.10
0.05N + 0.10D = 2.75
0.05N + 0.10(2N - 10) = 2.75
0.05N + 0.20N - 1.00 = 2.75
0.25N - 1.00 = 2.75
0.25N = 3.75
N = 15
D = 2N - 10
= 2(15) - 10
= 30 - 10
= 20
Check:
0.05(55) + 0.10(20) = 2.75
0.75 + 2.00 = 2.75
2.75 = 2.75 [tex]\checkmark[/tex]
What is the measure of an inscribed angle that intercepts an arc whose measure is 70 degrees
35
70
140
None of the above
35 is the answer for this question hope it helps
use formula A=P(1+RT) to calculate the maturity value of the simple interest loan round to two decimal places.
P=$15000 R= 8.6% T = 4 MONTHS
SO WHAT I DID WAS CHANGE 8.6% TO .086 AND 4 DIVIDED BY 12 IS .33
PLUGGED IT IN AND I GOR 15429.57 AND MY ANSER IS WRONG
Answer:
$20,160
Step-by-step explanation:
They don't have a year to pay it back. They have four months so you just use that as time.
Write the equation
A = 15,000 x (1 + 0.086 x 4)
( ) first.
0.086 x 4 = 0.344
rewrite.
A = 15,000 x (1 + 0.344)
( ) again.
1 + 0.344 = 1.344
rewrite
15,000 x 1.344 = 20,160
Hope this helped! Please mark as brainliest! thanks!
The student made a calculation error in converting 4 months into a year fraction. It should be 0.333..., not 0.33. With the correct conversion, the maturity value can be accurately calculated using the formula A=P(1+RT).
Explanation:
From the details that you've given, the student used the formula A=P(1+RT) correctly, where A is the maturity value of the loan, P stands for the principal amount, R for the rate of interest, and T for time.
In this question, P = $15000, R = 8.6%, and T = 4 months. The student correctly changed 8.6% to 0.086 (since percentage must be converted to decimal form by dividing by 100 in calculations) and also accurately converted 4 months into 0.33 (since the term of the loan is expressed in terms of a year).
However, the correct conversion of 4 months into year should be 4/12 = 0.333.... (since 1 year is equal to 12 months), not 0.33. So T = 0.333...
Let's plug in these values:
A = 15000(1+0.086*0.333...)
This will give you the accurate maturity value.
https://brainly.com/question/25845758
#SPJ3
Solve the equation above 2x+18=7x-30
Answer:
9.6
Step-by-step explanation:
✯Hello✯
↪ so first we need to 'kill' the smaller x. This can be done by taking 2x from 7x
↪ That leaves us with 18= 5x-30. Add 30 on both sides and we get 48=5x
↪ we divide by 5 on both sides
↪ that gives us 9.6
HOPE THIS HELPS
❤Gianna❤
To solve the equation 2x+18=7x-30, subtract 2x from both sides, add 30 to both sides, and divide both sides by 5 to find x = 9.
Explanation:To solve the equation 2x+18=7x-30, we need to isolate the variable x on one side of the equation. First, we can start by simplifying both sides of the equation. Subtracting 2x from both sides gives us 18 = 5x - 30. Next, we can add 30 to both sides to get rid of the -30 on the right side. This gives us 48 = 5x. Finally, divide both sides by 5 to solve for x. The final solution is x = 9.
Learn more about Equation solving here:https://brainly.com/question/18262581
#SPJ1
Which statement describes the value of the expression 15x (8+45)?
where are the statement
The expression (15x(8+45)) simplifies to (795x). Therefore, its value is (795x). What is the value of (795x)?
let's break down the expression step by step:
Given expression: (15x(8+45))
Step 1: Perform the operation inside the parentheses.
[8 + 45 = 53]
Step 2: Multiply the result from step 1 by 15x.
[tex]\[15x \times 53 = 795x\][/tex]
So, the value of the expression [tex]\(15x(8+45)\) is \(795x\)[/tex].
complete question:
What is the value of the expression [tex]\(15x(8+45)\)[/tex]?
triangle ABC has verticles A(0,6), B(-8, -2), and C(8,-2). A dilation with a scale factor of 1/2
and center at the origin is applied to this triangle. what are the coordinates of B' in the dilated image?
the quotient of 100 and the sum of b and 24
To find the quotient of 100 and the sum of b and 24, divide 100 by the sum of b and 24.
Explanation:The quotient of 100 and the sum of b and 24 can be found by dividing 100 by the sum of b and 24. This can be expressed as:
Quotient = 100 / (b + 24)
For example, if b is 5, the sum of b and 24 is 29. So, the quotient of 100 and 29 would be approximately 3.4483.
For what value is both p^r true and q false
The disjunction p ∨ q is false when both p and q are false and is true otherwise. Upgrade to ... (The truth value of the hypothesis does not matter then.) Converse.
Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?
Answer:
6, she can buy 6 oranges.
After purchasing 5 apples, Lynne has $4.75 left. Since oranges cost $0.75 each, she can afford to buy a maximum of 6 whole oranges.
Explanation:The subject of this question is a real-world application of the basic mathematics principle of subtraction and division.
Lynne starts with $8.00 and spends $0.65 per apple for 5 apples, which totals to $3.25. We subtract that sum from the starting amount. $8.00 - $3.25 = $4.75 remains. This remaining money is what Lynne can use to buy oranges, which cost $0.75 each.
To find out the maximum whole number of oranges she can buy, we divide the remaining money by the cost of each orange: $4.75 / $0.75 ≈ 6.33.
Since Lynne can't buy a fraction of an orange, we round down to the nearest whole number. So, Lynne can buy a maximum of 6 oranges.
Learn more about Budgeting for Groceries here:https://brainly.com/question/22490537
#SPJ3
school art teacher needs 200 sticks of clay. An art shop donates 9 small boxes of clay and 6 large boxes of clay. How many more sticks will the art teacher need? Now the art teacher is going yo buy the reminder he needs in large boxes. 1 box cost $14. dollars. What is the total cost of these boxes?
Answer:
the art teacher still needs 68 sticks of clay
Step-by-step explanation:
9*10=90
6*7=42
90+42=132
200-132=68 please can you answer my newest question im so stuck
The teacher needs 74 more sticks of clay which can be bought in 7 large boxes. The total cost for these boxes is $98.
Let's solve this step by step:
Step 1: Calculate the total number of clay sticks provided by the donated boxes.
Assuming each small box contains 6 sticks of clay and each large box contains 12 sticks of clay (these are reasonable assumptions for this problem).The art shop donates 9 small boxes and 6 large boxes.Total from small boxes: 9 boxes * 6 sticks = 54 sticksTotal from large boxes: 6 boxes * 12 sticks = 72 sticksTotal donated sticks: 54 + 72 = 126 sticksStep 2: Calculate the number of additional sticks needed.
Total sticks needed: 200 sticksAlready donated: 126 sticksAdditional sticks needed: 200 - 126 = 74 sticksStep 3: Calculate the number of large boxes needed to obtain the additional 74 sticks.
Each large box contains 12 sticks.Number of large boxes required: 74 sticks / 12 sticks per box = 6.1667Since the teacher needs whole boxes, round up to the next whole number: 7 large boxesStep 4: Calculate the total cost of the boxes.
Cost per large box: $14Total cost: 7 boxes * $14 = $98Therefore, the total cost for the additional 7 large boxes of clay is $98.
(Please help) The histogram shows the times and the amount of people who finished a local marathon. Which choice below is NOT true?
Answer:
As age increases. the number of marathon participants always increases.
Why:
After 35-39, the amount of participants per age group decreases.
The incorrect option among the options is
As age increases the umber of marathon participants always increases
What is a histogram?A histogram is a graphical representation of the distribution of a dataset. It is a type of bar chart that displays the frequency or relative frequency of different categories or ranges of a continuous variable.
Histograms provide a visual summary of the underlying probability distribution of a set of continuous or discrete data.
Th option is incorrect because the number of marathon participants started dropping from age 44
Learn more abut histogram
https://brainly.com/question/2962546
#SPJ2
What is the value of the ratio of the surface area to the volume of the cylinder? 0.38 2.66 0.94 0.7
Answer:
the correct answer is 0.38, I used the other persons answer and got it wrong.
Step-by-step explanation:
Solve the equation by completing the square:
8x^2 +16x=42
x = -7/2 and 3/2
//Hope this helps
Which choice shows the students listed in order from who has the least amount of money to who has the greatest amount of money
Step-by-step explanation:
Should be Emily, Morgan, Kali, Rosa
are the two terms on each tile like terms? sort the tiles into the appropriate categories.
Answer:
all of them are like terms except for "5x and 5" and "3ad and 2bd"
Step-by-step explanation:
like terms in math mean the same variables
Answer:
Like terms: -7y^2 and y^2 | 0.5kt and -10ktm | 6 and 9
Unlike terms: 5x and 5 | 3ad and 2bd | -4p and p^2
Skttep-by-step explanation:
Just did it
what is the area of this ?????
Answer:600
Step-by-step explanation: all u have to do is 30* 15+5= 600 just like L*W
Answer:
75
Step-by-step explanation:
how i got my answer because if you add all of the number 10+15+15+30+5 your answer will simply be 75 hope for the best and hope for brainlist
The number of freshmen entering college in a certain year is 621. What type of data is 621?
Continuous data
Categorical data
Discrete data
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
The number of freshmen entering college in a certain year = 621
It is considered as discrete data.
Since we know the definition of Discrete which refers to all types of data which take only numerical values.
It is based on counts.
According to question, we have given the exact number of freshmen instead of any range or interval.
Hence, Third option is correct.
Answer: The answer you the question is C. Discrete data I hope this helps :)
Mr. Stanton bought 2.6 yards of fabric for $8.84. What was the cost per yard?
It’s 3.4, but that’s what I think it is
9 + 4 (x + 2) - 3x What is the term that best describes 3 in this expression?
B. Coefficient is your awnser
For this case we have that by definition, a coefficient is a factor linked to a monomial.
Example:
[tex]-5x ^ 3[/tex]
- : It's the sign
5: It is the coefficient
x: It is the variable
3: It is the degree
Then, according to the given expression, we can conclude that the number 3 that accompanies the variable "x" is defined as a coefficient.
Answer:
Option B
anayas team won 5 out of every 7 games this season if the team played 28 games this season how many games did they win
Anaya’s Team won 20 games
Anaya's team won 5 out of every 7 games. Using the proportion principle, we find that the team won 20 out of 28 games in the season.
Explanation:Anaya's team won 5 of every 7 games played. This means, for every 7 games, they won 5 games, which is their win ratio. To find out how many games they won out of the 28 games played in the season, we can set up a proportion and solve it.
Step 1: Setup the proportion: 5/7 = x/28, where x is the number of games won.
Step 2: Solve the proportion for x. Cross-multiply and divide: (5*28)/7 which gives us 20.
So, Anaya's team won 20 games during the season out of the 28 games they played.
Learn more about Proportions here:https://brainly.com/question/34018947
#SPJ12
What is 99.75 rounded off to the nearest whole number
Answer:
100
Step-by-step explanation:
.75 will make 99 closer to 100
The rounded-off 99.75 to the nearest whole number will be 100.
How do round any digit?To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.
In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.
The whole number is the nondecimal number for example 2,5,7.
Given the number 99.75
The whole number around 99.75 are 99 and 100
Now,
100 - 99.75 = 0.25 and 99.75 - 99 = 0.75
Since 0.25 < 0.75
100 will be nearer to 99.75 so it will be the correct answer.
Hence "The rounded-off 99.75 to the nearest whole number will be 100".
To learn more about rounding a digit,
https://brainly.com/question/116595
#SPJ2
Please help solve this problem
Answer:
C. x²
Step-by-step explanation:
With fractions, you can subtract the exponents, therefore the answer is x²
Answer:
C. [tex]x^2[/tex]
Step-by-step explanation:
We want to simplify;
[tex]\frac{x^3}{x}[/tex]
We can rewrite this as
[tex]\frac{x^2\times x}{x}[/tex]
We cancel out the common factors to get;
[tex]\frac{x^2\times1}{1}[/tex]
This simplifies to;
[tex]x^2[/tex]
The correct choice is C.
what is 5 17/18 simplified
Answer:
It is already simplified
Step-by-step explanation:
5 17/18 is already in it's simplest form. Glad to help
HELP IM TIMED
The triangles are isosceles and ABC:JKL what is the length of JL
Factor completely: x2 + 10x + 24 (Which is the right answer?)
Prime
(x + 12)(x + 2)
(x + 3)(x + 8)
(x + 6)(x + 4)
Answer:
(x + 6)(x + 4)Step-by-step explanation:
[tex]x^2+10x+24=x^2+6x+4x+24=x(x+6)+4(x+6)=(x+6)(x+4)[/tex]
In ABC, what is the measure of angle B? I think it’s 46.
Answer:
i think it is 46
Step-by-step explanation:
Circle o has a circumference of 36 Pi centimeters what is the length of the radius r
Answer:
r = 18 cm
Step-by-step explanation:
Hello
The formula for circumference is 2*Pi*r
So you have the valur for that formula:
2*Pi*r = 36Pi
r = 36/2
r = 18 cm
Bes regards