jeff is 3 years older than four times the age of adam. if the sum of their ages is 63, what is the age of adam.

Answer:

ab, ac, bc

Step-by-step explanation:

a=30, b=60, c=180-(30+60) = 180-90=90

Answer:

Horizontal translation in the \(+x\) direction.

Step-by-step explanation:

A function of the form \(f(x)\) experiments an horizontal translation when the following substitution is applied:

\(x \to x + a\), where \(a \in \mathbb{R}\)

If \(a > 0\), the function is translated in the \(-x\) direction, whereas \(a < 0\) is the case for the function being translated in the \(+x\) direction.

The effect on the graph can be defined by a composition between two function:

\(f(x) = x^{2}\), \(g (x) = x-6\)

\(f\,\circ\,g\,(x) = (x-6)^{2}\)

The resulting expression represents a horizontal translation in the \(+x\) direction.

Finally, we plot \(f(x)\) (red) and \(f\,\circ g\,(x)\) (blue) by a graphing tool and proved the certainty of this theory.

Answer:

A) 24

Step-by-step explanation:

All angles must add up to 180° in a triangle.

\(120+36+a=180\\\\156+a=180\\\\156-156+a=180-156\\\\\boxed{a=24}\)

Option A should be the correct answer.

Hope this helps.

Answer:

[3/3+5](2-(-14))+(-14)

Step-by-step explanation:

3:5 Ratio means that the m/m+n would be 3/3+5.

Then X2 is 2 and X1 is -14.

X2-X1 is 2-(-14)

Answer:

20 by 20

Step-by-step explanation:

square root of 400 is 20

20 times 20 = 400

The variability in a set of scores can be measured by calculating the standard deviation.

The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The formula for calculating the standard deviation is as follows:

σ = √((Σ(x - μ)2) / n)

Where x is each value in the set, μ is the mean, and n is the number of values in the set.

If the standard deviation is small, it means that the scores are more similar and consistently close to the mean. This indicates that the scores are accurately represented by the mean. On the other hand, if the standard deviation is large, it means that the scores are less similar and more consistently close to the mean. This indicates that the scores are not accurately represented by the mean.

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Answer:

148cm^2

Hope this helps :))

Answer: C

Step-by-step explanation: I just did the most part that could have been adjacent

If the adjacent angles of a parallelogram measure 25° and 155°, the other two angles would measure 25° and 155°

A parallelogram is a quadrilateral (has four sides and four angles) in which both sides are equal and parallel to each other. Opposite angles of a parallelogram have the same measure and the diagonals are equal in length.

here, we have,

a parallelogram that has two side lengths of 5 inches and 2 inches and two adjacent angles that measure 25° and 155°.

now, we get,

If the adjacent angles of a parallelogram measure 25° and 155°, the other two angles would measure 25° and 155° because opposite angles are equal.

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The sum of the squares of the first 5 terms in the Fibonacci sequence is equal to \(Fn - Fn+1\) , but the result is not true for n\(= 6\) .

The Fibonacci sequence is a sequence of numbers where each number is the sum of the two preceding numbers, starting from \(0\) and \(1.\)

To show that the sum of the squares of the first n terms in the Fibonacci sequence is equal to\(Fn - Fn+1\), we can use mathematical induction.

Inductive step:

Assume that the result is true for some value of n, and consider the case where n \(= 5.\)

\(0, 1, 1, 2, 3\)

The fifth and sixth terms of the Fibonacci sequence are:

\(F5 = 5\) and \(F6 = 8\)

So,  for n = 5 is:

\(Fn - Fn+1\)

\(F5 - F6 = 5 - 8 = -3\)

We can also calculate\(Fn - Fn+1\) for n = 6 using the values of F6 and F7:

\(F6 - F7 = 8 - 13 = -5\)

So, we have:

\(Fn - Fn+1 = -F(n+1)\)

\(15 = -3\)

Which is not true, so the assumption that the result \(Fn - Fn+1,\) is true for n = 5 leads to a contradiction. Therefore, we can conclude that the result is not true for n\(= 6\).

Therefore, we have shown that the sum of the squares of the first \(5\) terms in the Fibonacci sequence is equal to but the result is not true for n\(= 6.\)

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Observation would be the most appropriate data collection method for studying how kids engage in play at a Montessori elementary school.

Therefore the answer is A) Observation.

This method involves observing and recording the behaviors and interactions of the children during playtime, which can provide valuable insights into their play patterns, preferences, and social dynamics.

Observation is particularly well-suited for studying young children because it allows researchers to capture their behavior in a naturalistic setting, without relying on self-report or other potentially unreliable sources of data. By watching how children interact with their peers and the materials available to them, researchers can gain a deeper understanding of their social, cognitive, and emotional development.

Observation can be conducted in a variety of ways, such as through structured or unstructured observation, video or audio recording, or field notes. Researchers may also choose to use multiple methods of observation to gain a more comprehensive understanding of children's play behavior.

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--The question is incomplete, answering to the question below--

"Answer in a very short answer of 1-3 sentence and an explanation of more than 100 words

For a study exploring how kids engage in play at Montessori elementary school, which would be the most appropriate data collection method?

A) observation

B) interviews

C) documents

D) audiovisual

E) audio materials"

What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.

Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.

Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.

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Answer:

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.

Step-by-step explanation:

Answer:

(n-2)x 180 degrees

Step-by-step explanation:

The estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is 0.45 which is denoted as option C.

This is referred to as a number that indicates how likely the event is to occur.

Probability for drawing at least 5 beads before she picks a grey bead from her collection

= 1-Probability for drawing at least one grey bead in the first 5 draws.

No of grey beads drawn in first 5 trials = (5, 80/80+160+240)

                                                                 = (5, 1/6)

Probability for drawing at least one grey bead in the first 5 draws.

=1 - Prob of no grey

Required probability = P(X=0 in first 5 draws) = (1/6)⁵ = 0.4018 and th nearest value is therefore 0.45.

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Answer:

r = \(\sqrt{7}\), centre = (6, - 4 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

with (h, k) the coordinates of the centre and r the radius

(x - 6)² + (y + 4)² = 7 ← is in standard form

with centre = (6, - 4) and r² = 7 , hence r = \(\sqrt{7\)

De acuerdo con lo anterior podemos inferir que para los amigos Pedro y John, el incremento de masa muscular se representa por un número decimal periódico mixto.

El número decimal periódico mixto se refiere a un número decimal que tiene una parte entera, una parte decimal y una parte periódica, que se repite de forma continua.

Al observar los incrementos de masa muscular de los amigos, encontramos que Pedro tiene un incremento de masa muscular de 5/6 kg, lo cual se representa como 0.8(3) kg, donde el "3" se repite de forma continua.

Por otro lado, John tiene un incremento de masa muscular de 16/45 kg, que se representa como 0.3(5) kg, donde el "5" se repite de forma continua.

Entonces, la respuesta correcta es la opción D: Pedro y John.

Nota: Esta pregunta está incompleta. Aquí esta la información completa:
Imagen anexada.

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Answer:

9.3 ft

Step-by-step explanation:

Answer:

1.6 ft.

Step-by-step explanation:

Given that the conical pylons had a radius (r) of 1 foot and a height (h) of 2 foot. The volume of the conical pylons is:

Volume = πr²h/3

Therefore substituting gives:

Volume = π(1)²(2)/3 = 2π/3 ft³

Since the same amount of concrete is used to construct a spherical barrier, hence the volume of the sphere would be the same as the volume of the conical pylon.

Volume of sphere = 4πr³/3

4πr³/3 = 2π/3

2r³ = 1

r³ = 1/2 = 0.5

r = ∛0.5 = 0.8 ft.

Therefore the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.

Answer:

Step-by-step explanation:

\(5\frac{1}{4} =x\)

\(3\frac{3}{4} =y\)

x-y=?

so

?+y=x

which means

\(?+ 3\frac{3}{4} = 5\frac{1}{4}\)

i hope this helps

Answer:

f(x)=15x+120

Step-by-step explanation:

trust

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

Answer: 5 5/6

Step-by-step explanation: make them both into fractions so 7/1 and 5/6 multiply across 7*5=35 and 1*6=6 simplify that down into a mixed number gives you 5 5/6

Given    To find    Solution:  First, we replace  with  and  with :      Now, we finally replace  with   Therefore, the inverse of  is

Answer:y=(x-2)/4

Step-by-step explanation:

y=4x+2

4x=y-2

x=(y-2)/4

y=(x-2)/4

The number of boys in the class = 48 boys

The number of girls in the class = 12 girls

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of boys in the class be = x

Let the number of girls in the class be = y

Now , the total number of students in the class = 60

So , the equation , will be

x + y = 60   be equation (1)

Now , the number of boys = 4 times the number of girls

So , the equation will be

x = 4y   be equation (2)

Substitute the value of equation (2) in equation (1) , we get

4y + y = 60

On simplifying the equation , we get

5y = 60

Divide by 5 on both sides of the equation , we get

y = 12

So , the value of y is 12

Substitute , the value of y in equation (2) , we get

x = 4y

x = 4 x 12

x = 48

Therefore , the number of boys is 48 and the number of girls is 12

Hence , The number of boys in the class = 48 boys

The number of girls in the class = 12 girls

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Answer:

18 hours

Step-by-step explanation:

The required probability is 0.4851.

It is a branch of mathematics. It is used to concern numerical descriptions to occur an event. Theoretical probability, Experimental probability, Axiomatic probability are the three types of probability we have. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event. The theoretical probability is based on possible chances of something that happen. Probability refers to the term synonymously as a possibility. The probability that is based on series of experiments is known as Experimental probability. The set of axioms which are applied to all the types of probability is known as Axiomatic probability.

Given, Probability p=0.43

Total number of trails, n=13

The required probability is, p(x≤5)

Now,

p(x≤3)= p(x=0)+p(x=1)+p(x=2)+p(x=3)+p(x=4)

p(x=5)

p(x≤3)= (¹³₀)(0.43)⁰(1-0.43)¹³+(¹³₁)(0.43)¹(1-0.43)¹²+(¹³₂)(0.43)²(1-0.43)¹¹+(¹³₃)(0.43)³(1-0.43)¹⁰+ (¹³₄)(0.43)⁴(1-0.43)⁹+ (¹³₅)(0.43)⁵(1-0.43)⁸

p(x≤3)=0.0006+0.0065+0.0297+0.0823+0.1552+0.2108

p(x≤3)=0.4851

Therefore, the required probability is 0.4851.

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 1 +4}{2}~~~ ,~~~ \cfrac{ 3 +6}{2} \right) \implies \left(\cfrac{ 5 }{2}~~~ ,~~~ \cfrac{ 9 }{2} \right)\implies \left(2\frac{1}{2}~~,~~4\frac{1}{2} \right)\)

In graphs, The minutes are shown on the x axis. The water depth is shown on the y axis (inches) Therefore, the depth of the water lowers with increasing minutes. Consequently, there is a change in water depth every minute

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

The graph shows the depth of water in a bathtub as water drains out.

The graph shows that as the value of x increases, the value of y decreases.

The minutes are shown on the x axis.

The water depth is shown on the y axis (inches)

Therefore, the depth of the water lowers with increasing minutes.

Consequently, there is a change in water depth every minute.

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