Answer:
x=83
Step-by-step explanation:
10x-76=754
Move 76 to the other side and it becomes positive
10x=754+76
Add 754 and 76
10x=830
divide both sides by 10
10x/10=830/10
x=83
Which is a way to model 9485 with base ten blocks
The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.
Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.
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2) Which of the following is the lowest ratio?
07:13
O 17:25
7:15
15:23
Answer:
7:15 is the smallest ratio.
Step-by-step explanation:
hope this helps :)
What is the solution of the system of equations?
Answer:
x = 0, y = 5
Step-by-step explanation:
The solution is the point of intersection of the lines.
The intersection is at (0, 5).
Answer: x = 0, y = 5
On September 1, 2024, Lindsey Engineering borrows $406,000 cash. The loan is made by FirstLending, under the agreement that Lindsey will repay the principal with four payments of $101,500. Payments are due by October 1 each year, with the first payment being due October 1, 2025 (next year). Interest on the borrowing is 6%, and Lindsey’s year-end is December 31.
By using the annuity formula we conclude that, the payment required to repay the loan is $101,500, which is the same amount for each of the four payments.
What is annuity formula?
The annuity formula is a mathematical formula used to calculate the periodic payment required to pay off a loan or investment with equal payments at fixed intervals over a specified period of time.
To calculate the payments for this loan, we can use the present value of an annuity formula, which gives the payment required to repay a loan with regular payments over a set period of time.
PV = PMT * [1 - \((1 + r/n)^{(-n*t)\)] / (r/n)
where:
PV = present value of the loan (in this case, the amount borrowed, which is $406,000)
PMT = payment amount
r = annual interest rate (6% in this case)
n = number of compounding periods per year (12, since the payments are monthly)
t = number of years over which the loan is repaid (4, since there are four payments)
Using these values, we can solve for PMT:
406,000 = PMT * [1 - \((1 + 0.06/12)^{(-12*4)\)] / (0.06/12)
406,000 = PMT * [1 - \((1 + 0.005)^{(-48)\)] / 0.005
406,000 = PMT * [1 - 0.65125]
PMT = 101,500
Therefore, the payment required to repay the loan is $101,500, which is the same amount for each of the four payments.
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Find the area of the parking space shown to the right
-18ft and 9 1/4 ft-
Answer:
166 1/2 or 166.5
Step-by-step explanation:
The formula for finding area is length*width. This can also just be written as A=l*w. Our area is still unknown, so it'll stay as A in this equation. Here, our length and width don't matter all that much, so we can input them where we please.
Now, we have the equation A=18*9 1/4
So, let's solve! 18*9 1/4 is equal to 166 1/2 or 166.5
With this, the area is equal to 166 1/2 or 166.5
Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
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Which of the following sets of whole numbers represents all the odd three-digit numbers that have a 4 in the hundreds place and a 7 in the tens place?
741; 743; 745; 747; 749
470; 472; 474; 476; 478
740; 742; 744; 746; 748
471; 473; 475; 477; 479
Answer:
D) 471, 473, 475, 477, 479
Step-by-step explanation:
Lets say the three-digit number is ABC.
4 in the hundreds place, thus A = 4
7 in the tens place, thus B = 7.
The number is odd, therefore C = {1, 3, 5, 7, 9}
There are five possible solutions for three-digit number ABC = {471, 473, 475, 477, 479}
14.Jim was deep sea diving last week. He descends 3 feet every minute. How many
feet will he descend in 10 minutes
Answer:
30
Step-by-step explanation:
Because 3x10=30 or 10+10+10=30
Subtract and simplify.
Answer:
8\(x^{4}\) + 7x³ - 5x² + 7x - 14
Step-by-step explanation:
(8\(x^{4}\) + 7x³ - 5) - (5x² - 7x + 9)
remove first parenthesis and distribue second by - 1
= 8\(x^{4}\) + 7x³ - 5 - 5x² + 7x - 9 ← collect like terms
= 8\(x^{4}\) + 7x³ - 5x² + 7x - 14 ← in standard form
SARAS 6 3. (2 points) Given the sequence -3, 4, 11, 18, ... Amanda was asked to find the 58th term. She wrote the explicit formula below. Her teacher Ms. Felton informs her that her response is incorrect. Explain where she made a mistake. Then correct her mistake. Amanda's Explicit Formula 058 = 18 + 7(58 - 1) USE COMPLETE SENTENCES/ ESCRIBE EN ORACIONES COMPLETAS a. What is her mistake? b. How should she correct it?
Answer:58=417
Step-by-step explanation:
058=18+7(58−1)
Subtract the numbers
= 58=18+7(57)
Multiply the numbers
= 58=18+399
Add the numbers
= 58=417
Under Todd’s new cable television plan, his bill averages $63 per month. This is 140% of his average monthly bill last year when he had the basic cable package. What was his average monthly cable bill last year?
Answer:
45
Step-by-step explanation:
translation :
140% of x = $63
x = $63 ÷ 1.4
x = $45
FUN FACTS :
interesting: 100% means double that number or times 2
if a price is $20 & it increases 100% in price that means its $20 times 2 or $40
percent means per 100
cent means 100 in latin
that's why the decimal moves 2 spaces
for the 2 zeros in 100
chatgpt
a) Complete this synthetic division table.
- 3 ) 5 10 -12 11 7
synthetic division is = 0.102
What is an illustration of artificial division?For instance, we can divide a polynomial of degree two using the synthetic division method by x + an or x - a, but not by x2 + 3 or 5x2 - x + 7. In order to make the leading coefficient 1 if it is not already, we must divide by the leading coefficient. Anytime you need to divide a polynomial function by a binomial of the type x - c, you can use synthetic division. This can be used to discover a number of things. When you divide the polynomial function by x - c, you really receive the number one as the quotient and remainder.
Only LINEAR factors of the form x - a can be divided by using synthetic division. It functions properly when dividing by either x + 4 or x - 3, for instance. You must use straightforward long division if you need to divide by a polynomial of a higher degree or one that doesn't contain 1 as the leading coefficient.
5 - 10 - 12 - 11 7
12/0+117
12/117
=0.102
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if a=1 b =2and c= -3 find the value of a2b2c-2
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
Which of the following is NOT a characteristic of both surveys and experiments?
Data collected about a population is not characteristic of both surveys and experiments. The correct answer would be an option (C).
What is a survey?The purpose of a survey is to understand populations as a whole by utilizing pertinent questions to collect data from a sample of people.
Data collected about a population is not a characteristic of both survey and experiment because, in an experiment, the researcher typically manipulates one or more variables and measures the effect on another variable, while in a survey, the researcher usually only measures variables and does not manipulate them. As a result, in a survey, the data is typically collected about a sample of the population, rather than the entire population.
Hence, the correct answer would be option (C).
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square root of 5, 0.6, 4/9, 0.7, square root of 2
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
100 pts
Read the following email:
Dear Dr. Jones,
Our pharmaceutical company now received 47 complaints about the new pain reliever NoPain, created in your lab. Of the 47 complaints, 24 said their headache got worse, 15 said they had severe cramping after taking the medication, and 8 said they had both problems. We have only been distributing this pain reliever for about 30 days and we are very
concerned. It has cost our company roughly 1.2 million dollars to create the drug and we have recorded sales of $98,600 in the past month at $10 a bottle, so that is 9,860 bottles. Should we be concerned? Do you think we should pull the product and conduct more
research? We may end up losing money on this if we pursue this course of action. Should we keep the product on the shelves and secretly do more research? Or should we just do nothing for the time being, wait it out, and see what happens? Please get back to us as soon as possible with your recommendation.
Thank you,
Jane Smith
Head of Customer Relations
Using your basic mathematical skills, calculate how long it will take the pharmaceutical
company to earn back the amount that it had invested, if it continues to sell the product at the
current selling rate.
What are equivalent ratios for 6:2 and 18:6 and 72:24
Observing the problem, we find the smallest ratio is still not the most simplified, so
6:2 divided by two on both sides is
3:1Why is the square root of 23 an irrational number
Answer:
When simplified, the square root of 23 is a non-terminating and non-repeating decimal. This, and the fact that it can't be written as a fraction is why it is an irrational number.
Find the value of L that Will Maximize the profit Q=L²e^0.01L
The minimum profit occurs at L = 0, where Q = 0.
To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).
We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.
Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.
Testing for critical points:Q = L²\(e^{(0.01L)\)
Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)
= 0(2L + 0.01L²) \(e^{(0.01L)\)
= 0L (critical point) or 200 \(e^{(0.01L)\)
= 0 (extraneous, ignore)
2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)
The only critical point is at L = 0.
Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)
= \(2e^{(0)\) = 2Since Q''(0) > 0,
The critical point at L = 0 is a minimum.
Therefore, there is no value of L that maximizes the profit.
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The values of L that will maximize the profit are 0 and -200
Finding the value of L that will maximize the profitFrom the question, we have the following parameters that can be used in our computation:
\(Q = L\²e^{0.01L\)
Differentiate the function
So, we have
\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)
Set the equation to 0
\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)
Cross multiply
\(L \cdot (L + 200) \cdot e^{0.01L} =0\)
When expanded, we have
L = 0, L + 200 = 0 and \(e^{0.01L} =0\)
When solved for L, we have
L = 0 and L = -200
Hence, the values of L are 0 and -200
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The coordinates of the vertices of triangle ABC are A (4, 2), B(6, 7), C (13, 1). Triangle ABC is reflected across y= -x
What are the vertices of triangle A'B'C'?
Enter your answers in the boxes.
Answer: first calculate the formula of sin and remodel the shape and you get (6,7)
HELP!!!!! Find each missing length to the nearest tenth.
manuel brought 10lbs of dog food he feeds his dog 2/5lbs each meal for how many meals will the food last
Answer:
25 meals.
Step-by-step explanation:
Make 2/5 a number you can divide by more easily.
2/5 = 0.40.
Do the equation 10 / 0.40 = 25
Your answer is 25.
Hope this helps.
A profit of Rs 490,000 is to be divided between Ahmad and Haider with the ratio of 3:4 respectively. Then the profit of Ahmad should be?
The profit allocated to Ahmad based on a profit-sharing ratio of 3:4 should be Rs 210,000.
What is a profit-sharing ratio?A profit-sharing ratio is the proportion of the profits that are allocated to each partner in a partnership business.
Profit-sharing ratios are usually based on some agreed criteria, like the share of capital contributions and participation in the business.
Data and Calculations:Profit sharing ratio = 3:4
Profit to be shared = Rs 490,000
Ahmad's profit = Rs 210,000 (Rs 490,000 x 3/7)
Haider's profit = Rs 280,000 (Rs 490,000 x 4/7)
Thus, the profit allocated to Ahmad based on a profit-sharing ratio of 3:4 should be Rs 210,000.
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The profit of Ahmad base on the ratio is Rs 210,000
How to find profits?The total profit made by the two of them are Rs 490,000.
The profit is divided between Ahmad and Haider with the ratio 3:4.
The profit of Ahmad can be calculated as follows:
Therefore,
profit of Ahmad = 3 / 7 × 490,000
profit of Ahmad = 1470000 / 7
profit of Ahmad = 210000
profit of Ahmad = Rs 210,000
Therefore, the profit made by Ahmad is Rs 210,000
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The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
I came up with 7 hours and 15 minutes but that is not one of the answer choices?
well, as I see it Person1 is faster than Person2, but Person2 doesn't factor in the issue here, let's nevermind Person2.
most of the procedures are 45mins each, namely on average they're 45 mins each.
so Person1 say did 9 procedures, but two of those guys took much longer, too 2 hours each, so two procedures alone ate 4 hours.
Now, Person1 besides doing those two really long procedures, has to also finish the other seven, 2 + 7 = 9, so there are 7 more procedures that on average take 45 mins each.
\(\stackrel{\textit{\LARGE minutes}}{\stackrel{\textit{two really long ones}}{240}~~ + ~~\stackrel{\textit{the rest of them}}{45(7)}}\implies 555\implies \stackrel{\textit{9 hours and 15 minutes}}{9.25~hours}\)
What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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HELP . Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (segment SD) from the ship to the shore. He walks 130 ft along the shore from point D to point C and marks that spot. Then he walks 23 ft further and marks point B. He turns 90° and walks until his location (point A), point C, and point S are collinear. Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why not?
(b) Suppose AB = 50 ft. What is the distance from the ship to the shore? Show all your work and round your final answer to the nearest tenth of a foot.
The distance (segment SD) from the ship to the shore and Gilligan sees a ship coming close to the shore he's standing on.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
The triangles ABC and SDC are similar.
Gilligan may deduce that triangles ABC and SDC are comparable.
Gilligan may deduce that the ship's distance from the cost is 509 feet.
We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.
As a result, Gilligan may deduce that triangles ABC and SDC are comparable.
How to Determine SD Distance
To do this, we employ the corresponding ratio shown below.
90 should be substituted for AB.
Calculate as a fraction
Make SD the topic.
As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.
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MATH
Systems of Linear Equations
1. Determine if each system of equations below is linear or nonlinear.
A. -9x+8y = 9x 7y+8=8x
Linear or nonlinear?
D. 6y+x=12 y-x=1-x
B.
2.3y+1.2x = 0
1.1x+0.1y 1.2
C.
2 7-3y=- 2x+9= 3y
Linear or nonlinear?
Linear or nonlinear?
E. 45x + y = 12 y+x² = 1-x²
Linear or nonlinear?
G
0.2x+9.1y9.1√x
7x+1=8√y
Linear or nonlinear?
F. x+8y = 81 x-7y = 32
Linear or nonlinear?
H.
98317y= 1010 + 2965x
-71389y=5692x - 1001
3 xx y-5= 1 zy+3x=-21
Linear or nonlinear?
Linear or nonlinear?
Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
The system of equations -9x+8y = 9x and 7y+8=8x is linear.
A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.
In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).
Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).
Therefore, the system of equations is linear.
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The volume of a cone varies jointly as its height, and the square of its radius. If a cone with a height of 8 cm and a radius of 2 cm has a volume of 33.5 cm3 what is the volume of a cone with a height of 6 cm and a radius of 4 cm?
The volume of a cone with a height of 6 cm and a radius of 4 cm is:
V = 100.5 cm³
What is the volume of a cone with a height of 6cm and a radius of 4cm?
If the volume of a cone varies jointly as its height, and the square of its radius, then we can write the equation:
V = R²*H*k
Where:
R = radius
H = height
k = constant of the variation.
Here we know that if R = 2cm and H = 8cm, the volume is 33.5 cm³, then we can replace that to get:
33.5 cm³ = (2cm)²*8cm*k
The value of k is:
(33.5 cm³)/( (2cm)²*8cm ) = k = 1.046875
Then the formula for the volume is:
V = R²*H*1.046875
Now if the radius is 4cm and the height is 6cm, the volume will be:
V = (4cm)²*(6cm)*1.046875 = 100.5 cm³
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