Awesome :), thanks for your patience. anything else I can help with? sure, I will help you with one more, alright, give me a moment to solve it
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\(\begin{gathered} \text{Distributive property:} \\ a(b\pm c)=a\cdot b\pm a\cdot c \\ 48-(3c+4)=4(c+7)+c \\ 48-3c-4=4c+28+c \\ 48-3c-4=5c+28 \\ 44-3c=5c+28 \\ \text{Add 3c to both sides} \\ 44-3c+3c=5c+28+3c \\ 44=8c+28 \\ \text{subract 28 from both sides:} \\ 44-28=8c+28-28 \\ 16=8c \\ \text{Divide both sides by 8:} \\ \frac{16}{8}=\frac{8c}{8} \\ c=2 \end{gathered}\)120 times 1/2
Do not divide, whole number times fraction.
Answer:
60
Step-by-step explanation:
write 120 like this: 120/2
Then just multiply the numerators.
Which gets you 120/2.
Then change it it to a mixed fraction which is 60.
please do all questions in photo correctly for brainlest!
Answer:
5: 12
6: 12
7: 20 days
8: 1
Jude is making a door for a door frame with an opening that measures 9 feet by 3 feet. Which diagonal length should
he use to make a door that fits in the door frame?
10 feet
90feet (squared)
72 feet (squared)
12 feet
The diagonal length should he use to make a door that fits in the door frame is √90 feet, Option 'B' is the correct answer.
Pythagorean theorem based problem:What information do we have?
Length of door = 9 feet
Width of door = 3 feet
Using Pythagorean theorem,
H = √B² + P²
H = √3² + 9²
H = √9 + 81
H = √90 feet
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are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
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The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.
100 POINTS!!
Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures.
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. Triangle Proportionality Theorem Converse: If a line divides two sides of a triangle proportionally, then it is parallel to the third side
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Which ratio is equivalent to 7:3?
12:8
28:12
49:9
21:7
Dona
Answer:
iit's none if those its actually 14:6
A snail going full speed was taking of a minute to move
centimeter. At this rate, how long would it take the snail to travel a
centimeter?
Answer:
Step-by-step explanation:
if the snail moves 1 cm / 1 min
the snail will need 1 minute, maybe you didn't posted correct?
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
A bird of species A, when diving, can travel six times as fast as a bird of species B top speed. If the total speeds for these
two birds is 259 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.
What is the fastest speed of the bird species B in miles per hour and the fastest speed of the bird of species A in miles per hour
Answer:
37 mph, 222 mphStep-by-step explanation:
Let the speed of bird of species A is x and speed of B is y.
The equations:
x + y = 259x = 6ySubstitute and solve for y:
6y + y = 2597y = 259y = 259/7y = 37Find x:
x = 6*37 = 222
\(x\)will be the speed of species b and \(4x\) will be the speed of species a:
\(x + 4x = 180\)
\(5x = 180\)
\(x = \frac{180}{5}\)
\(x = 36 \: m/h\)
If species b has a speed of \(36 \)m/h, the speed of species a is \(4\)times that:
\(4 \times 36 = 144 m/h\)
Answer :—
\(A = 36 \: m/h \)
\(B = 144 \: m/h\)
find the domain in interval notation for part 2
The domain of the function is (-∝, 6/7) U (6/7, 1) U (1, 6/5) U (6/5, ∝)
How to find the domain in interval notationFrom the question, we have the following parameters that can be used in our computation:
f(x) = x/(x - 1)
g(x) = 13/(x² - 36)
The composite function (f o g)(x) is calculated as
(f o g)(x) = f(g(x))
Using the above as a guide, we have the following:
(f o g)(x) = 13/((x/(x - 1))² - 36)
Evaluate
(f o g)(x) = 13(x - 1)²/(-35x² + 72x - 36)
Set the denominator not equal to 0
So, we have
-35x² + 72x - 36 ≠ 0
Evaluate
\(x < \frac{6}{7}\quad \mathrm{or}\quad \frac{6}{7} < x < 1\quad \mathrm{or}\quad \:1 < x < \frac{6}{5}\quad \mathrm{or}\quad \:x > \frac{6}{5}\)
Express as interval notation
(-∝, 6/7) U (6/7, 1) U (1, 6/5) U (6/5, ∝)
Hence, the domain of the function is (-∝, 6/7) U (6/7, 1) U (1, 6/5) U (6/5, ∝)
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¿De qué manera influye la ética en el hombre a partir de su función crítica? Explique.
Answer:
La ética es una rama de la filosofía que se ocupa de la reflexión crítica sobre las acciones de los hombres. En un sentido general, la ética busca establecer los criterios para juzgar si una acción puede calificarse de correcta o incorrecta, y para evaluar los motivos y consecuencias de dicha acción. Las cuestiones éticas también juegan un papel importante en la política, los negocios y la medicina, y en campos de la ciencia y el estudio como la historia, la biología y la sociología, la ética de la profesión es ocasionalmente un tema de discusión.
Así, la ética implica una evaluación de las acciones de las personas, calificándolas como correctas o incorrectas a los ojos de la sociedad. De esta manera, influye en la forma en que las personas realizan o dejan de realizar una determinada acción, ya que estas consideran sus consecuencias positivas o negativas al momento de realizarla.
Complete the multiplication problem to find the answer
25.2
x 3.4
———
1008
7560
———
A. 86.58
B. 85.68
C. 8568
D. 856.8
Answer:
b
Step-by-step explanation:
bc when you add the last 2 numbers (on the bottom) you get 8568 but then u have to add find the decimal places which would be 2 so it is b, 85.68
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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Midpoint is (-19,-19), endpoint (-18,-11) what is the other endpoint?!
Given: Midpoint is (-19,-19), endpoint (-18,-11)
so, as shown C is the midpoint of AB
C = ( -19 , -19)
Let one of the endpoint like B = (-18 , -11)
So, it is required to find A
We should know that:
\(\begin{gathered} C=\frac{A+B}{2} \\ A+B=2C \\ A=2C-B \\ A=2\cdot(-19,-19)-(-18,-11) \\ A=(-38,-38)-(-18,-11) \\ A=(-38,-38)+(18,11) \\ A=(-20,-27) \end{gathered}\)so, the other end point is (-20, -27)
number of apples weight in kilograms 2
Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake?
3 loaves of bread
4 loaves of bread
50 loaves of bread
51 loaves of bread
(4 loaves of bread is wrong)
On solving the provided question, we got to know that he can bake 200/57 loaves or 3 29/57 loafs.
what is fraction?Mathematically speaking, fractions are represented by integers that indicate a portion of a whole. In the same way that a whole can be any quantity, value, or object, a fraction can be a portion or subset of any quantity of a whole. As an example, let's try to comprehend this idea. The pizza in the picture below is cut into 8 equally sized pieces. The chosen slice of pizza might now be expressed as 1/8 if we wanted to. This indicates that we are talking about one of eight equally sized sections. It denotes a ratio of 1/8. Reading options include: One-eighth, or
1 by 8
13 1/3 divided by 3 4/5
Let's first convert these mixed numbers to incorrect fractions.
13 1/3 = 13(3) + 1 = 39 + 1 = 40/3
3 4/5 = 3(5) + 4= 19/5
Now that we have divided 40/3 by 19/5, we can just switch the operation to multiplication and flip the second fraction because we know how to divide fractions.
40/3 x 5/19 = 200/57
he can bake 200/57 loaves or 3 29/57 loafs.
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[7/8]2 evaluate in simplest form as a fraction
SOLUTION:
=) 49/64 is the answer I think
Need help on this question pls help!!!!!!!
The variable p varies inversely as the square of q. When p = 36, q = 25.
When p = 4, q=
When q = 10, p =
Answer:
p=4: q = 75q=10: p = 225Step-by-step explanation:
You want to know various values of p and q when p varies inversely as the square of q, and p=36 when q=25.
VariationA formula describing the variation of one variable with another will generally have a constant of variation, which we choose to represent here by the letter k.
Since p varies inversely as the square of q, the formula can be written as ...
\(p=\dfrac{k}{q^2}\)
Multiplying by q² gives us a way to find the value of k from known values of p and q:
k = p·q²
k = 36·25² = 22500 . . . . . . using the given values of p and q
We can also rearrange the formula to give q as a function of p:
q = √(k/p)
Table of valuesWe are interested in q for p=4, and in p for q=10.
q = √(22500/4) = 75
p = 22500/10² = 225
When p=4, q = 75When q=10, p = 225Does the table represent y as a function of x? Justify Your Answer.
Answer:
NO. It does not represent y is a function of x.
Step-by-step explanation:
For a given table of values to be considered as representing a function, every domain value (x-value) must have exactly one range value (y-value). This implies that a function cannot have two y-values assigned it mapped to the same x-value.
Therefore, the table of values given does not represent a function because the x-value, 3.45 has two y-values, 1.72 and 3.36, assigned or mapped to it.
points)
Select the correct graph of the function y = -1/3(x - 1)2 - 4 below.
The answer should match the image below.
A billboard has the given dimensions 7^2X4^2
PLEASE HELP pa
Complete each problem below. Show all work.
1. Chelsea jogged on a path that was 7 miles west and then 4.5 miles north. What is the shortest distance Chelsea must jog to return to the starting location? Round the answer to the nearest tenth of a mile.
2. Wally wants to hang holiday lights on top of a roof. Wally's 30-foot ladder reaches the roof when the base of the ladder is 8 feet from the base of the house. How far above the ground, rounded to the nearest tenth of a foot, is the roof of Wally's house?
Answer:
1.) 8.3 miles
2.) 28.9 feet
Step-by-step explanation:
Attached is an image with the work and answers for both questions.
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Have a GREAT day!!!
PLEASE HELP!!!!!!!!!!!!!
n June Gemma paid £68 for her electricity. In July she will pay 5% more for her electricity.
please help worth 100 pts
Answer:
the first one is x=20. the second one is x=31.33 cm.
Step-by-step explanation:
1. x=20
2. x=31.33 cm
Hope this helps!!! :)
simplify. write the expression using only positive exponents15d^4 / 3d^9
Divide the whole numbers, and since the base is the same (d) subtract the exponents:
\((\frac{15}{3})d^{(4-9)}\)\(5d^{-5}\)Express as a positive exponent
\(\frac{1}{5d^5}\)As group size increases, which of the following typically occurs?
a. Complexity increases
b. Factions develop
c. The number of nonparticipating members increases
As group size increases, the complexity of the group increases (option A).
What is group size?
Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.
As group size increases, the complexity of managing and coordinating the group also increases.
The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.
This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.
Therefore, the correct option is A.
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Help me solve and show my way
1. The correct exponential function for each graph is
a. f(x) = 2ˣ is graph (III) b. f(x) = 2⁻ˣ is graph (I) c. f(x)= -2ˣ graph (II) D. f(x) = -2⁻ˣ is graph (IV)
2. The evaluated exponential functions are;
a. f(1) = 1 b. f(-1) = 0.1 c. f(0) = 0.3
3. The exponential function for the graph is f(x) = \(\frac{1}{2}^x\)
4. The model for the rate population is N(t) = 320 × \(2^{t}\) . After 8 years, the population will be 81,920.
5. The compounded interest after 2 years: 2628.17. After 3 years 2694.7. After 6 years 2904.57
6. The compounded interest after a) 3 years = 4221.81 b) 6 years = 5092.47 c) 9 years = 6142.69
7. At time t = 0, the mass is 13 kg. After 45 days, the mass is approximately 6.62 kg
How do we evaluate the exponential functions?1. For the exponential function,
a. f(x) = 2ˣ has a coordinate (0,1). f(1) = 2⁰ = 1 It matches (III)
b. f(x) = 2⁻ˣ When x = -1, f(x) = 2, x = 0, f(x) = 1, x = 1, f(x) = 0.5; x = 2, f(x) = 0.25. If you plot this coordinates, you will see the graph falls from left to right
c. f(x)= -2ˣ it should pass through (0, -1), x = -1, when f(x) = -0, x = 0, f(x) = -1, x = 1, f(x) = -2
d. f(x) = -2⁻ˣ will pass through the point (0, -1). When x = -1, f(x) = -2; x = 0, f(x) = -1; x = 1, f(x) = -0.5. The graph should rise from left to right.
2. If the exponential function is f(x) = 3ˣ⁻¹ then we evaluate
f(1) = 3¹⁻¹ = 3⁰ = 1
f(-1) = 3⁻¹⁻¹ = 3⁻² = 1/3² or 0.1
f(0) = 3⁰⁻¹ = 3⁻¹ = 1/3 or 0.3
3. For the graph whos exponential function should be in the form f(x) = aˣ, we can find the actual function by looking at the coordinated (-3, 8)
a⁻³ = 8
a = \(8^1/-3\)
a = 1/2
f(x) = (1/2)ˣ
4. The mouse population can be modeled as
N(t) = N₀ × (1 + \(r)^{t}\) ⇒ N(t) = 320 × \(2^{t}\)
After 8 years ⇒ N(8) = 320 × 2⁸
N(8) = 320 × 256
N(8) = 81920
5. We use the formula A = P(1 + \(r/n)^{nt}\)
$2500 invested at an annual interest rate of 2.5% compounded daily,
After 2 years (t = 2): After 3 years
A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ²⁾ A = A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ³⁾
A = 2628.17 A = 2694.7
After 6 years
A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ⁶⁾
A = 2904.57
6. For a continuous compounded interest, we use the formula;
A = P × \(e^{rt}\)
the principal is $3500, the interest rate is 6.25%, or 0.0625 as a decimal.
a) After 3 years: After 6 years: After 9 years
A = 3500 × \(e^{0.0625 * 3}\) A = 3500 × \(e^{0.0625 * 6}\) A = 3500× \(e^{0.0625 * 9}\)
A = 4221.81 A = 5092.47 A = 6142.69
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