Rome had to pay yearly
tribute to Carthage..
Is this true or false

We are given that f: Z → Z and g: Z → Z are defined by the rules f(x) = (1 - x) % 5 and g(x) = x + 5.We need to determine the value of g ◦ f(13) + f ◦ g(4).

We know that g ◦ f(13) means plugging in f(13) in the function g(x). Hence, we need to first determine the value of f(13).f(x) = (1 - x) % 5Plugging x = 13 in the above function, we get:

f(13) = (1 - 13) % 5f(13)

= (-12) % 5f(13)

= -2We know that g(x)

= x + 5. Plugging

x = 4 in the above function, we get:

g(4) = 4 + 5

g(4) = 9We can now determine

f ◦ g(4) as follows:

f ◦ g(4) means plugging in g(4) in the function f(x).

Hence, we need to determine the value of f(9).f(x) = (1 - x) % 5Plugging

x = 9 in the above function, we get:

f(9) = (1 - 9) % 5f(9

) = (-8) % 5f(9)

= -3We know that

g ◦ f(13) + f ◦ g(4)

= g(f(13)) + f(g(4)).

Plugging in the values of f(13), g(4), f(9) and g(9), we get:g(f(13)) + f(g(4))=

g(-2) + f(9)

= -2 + (1 - 9) % 5

= -2 + (-8) % 5

= -2 + 2

= 0Therefore, the value of g ◦ f(13) + f ◦ g(4) is 0.

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Answer:

Step-by-step explanation:

(4h + 6)(4h − 7)

= 4h(4h - 7) + 6(4h-7)

= 16h2 - 28h + 24h - 42

= 16h2 - 4h - 42 (Ans)

Answer:

3/2

Step-by-step explanation:

\(2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}\)

Answer:

Can u do zoom it plz i cant see

If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.

To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.

In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.

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Answer:

33.6

Step-by-step explanation:

If you use your calculator, input 84 - 40%, then subtract the answer (50.4) from 84.

The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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The probability that from 2 to 5 of the 6 randomly selected Joe's customers order for delivery is 0.8429=  84.29%.

We apply  the binomial probability formula.

The binomial probability formula is given by:

P(x) = C(n, x) * \(p^x\) * \(q^(n-x)\)

Where:

P(x) i=  probability of getting exactly x successes,

n=  total number of trials

x =  number of desired successes,

p = probability of success on a single trial, and

q =  probability of failure on a single trial

We find  the probabilities for each value of x and add them all

P(2) = C(6, 2) * (0.11)² * \((0.89)^(^6^-^2^)\)  =  0.3074

P(3) = C(6, 3) * (0.11)^3 * \((0.89)^(^6^-^3^)\)  = 0.3195  

P(4) = C(6, 4) * (0.11)^4 *\((0.89)^(^6^-^4^)\)  = 0.1747

P(5) = C(6, 5) * (0.11)^5 * \((0.89)^(^6^-^5^)\)  =  0.0413

P(2 to 5) = P(2) + P(3) + P(4) + P(5)

≈ 0.3074 + 0.3195 + 0.1747 + 0.0413

= 0.8429 =  84.29%.

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Answer: The product of (abc) is (-2/3)(1/3)(-1) = 2/9.

The best unit of measure for the liquid in family-sized container of apple cider is the liter - True.

The metric unit of volume is known as the litre (international spelling) or liter (American English spelling) (SI symbols L and l,[1] with another symbol also used: ℓ). It is equivalent to 1 cubic decimetre (dm3), 1000 cubic centimetres (cm3) or 0.001 cubic metre (m3). A litre or cubic decimetre fills a space of 10 cm × 10 cm × 10 cm (see figure) and is therefore equal to one-thousandth of a cubic metre. One litre of liquid water has a weight of almost precisely one kilogram, because the kilogram was initially defined in 1795 as the weight of one cubic decimetre of water at the temperature of melting ice (0 °C). However, subsequent redefinitions of the metre and kilogram mean that this relationship is no longer exact.

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De acuerdo con la información podemos inferir que si realizas un planteamiento directo y realizas las operaciones, obtendrás un resultado o solución al problema planteado.

Cuando realizas un planteamiento directo, estás presentando una situación o problema de manera clara y precisa. Luego, al realizar las operaciones necesarias, como cálculos matemáticos o análisis de datos, estarás aplicando los pasos necesarios para resolver ese problema.

Al finalizar las operaciones, obtendrás un resultado o solución que corresponde a la respuesta buscada en el planteamiento directo inicial. Este enfoque te permite abordar de manera sistemática y estructurada la resolución de problemas.

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Use the formula I=Prt.

P is the principal (amount of money borrowed)

R is the interest rate (per year)

T is the time (expressed in years)

Plug in your numbers, remembering to change 10.8% to a decimal.

I=Prt

I=2700 x 0.108 x 3

I=874.8

12 X 3= 36 months

874.8 / 36=24.3

Therefore, Sabrina will pay $24.30 per month

Step-by-step explanation:

m = (y2 - y1)/(x2 - x1)

= 5 -(-1) / -3-6

= 6/-9

= -2/3

(y - y1) = m(x - x1)

y -(-1) = -2/3(x - 6)

y + 1 = -2/3x + 4

y = -2/3x + 3

On her way to work each morning, Alexia purchases a small cup of coffee for $6.50 from the coffee shop. So the

Independent Quantity: time,    Units: days

Dependent Quantity: cost,    Units: dollar($)

The dependent and independent quantity or variable are the two main factors in an experiment.

In a scientific experiment, the variable that is altered or controlled to examine the effects on the dependent variable is referred to as an independent quantity.

In a scientific experiment, the variable under test and the measurement is the dependent quantity.

On the independent quantity, the dependent quantity is said to be "dependent." The impact on the dependent quantity is seen as the experimenter modifies the independent quantity, and this effect is noted.

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Answer:

Step-by-step explanation:When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

In triangle JKL the measurement of line segment KJ is obtained as 22 units.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Two triangles - ΔJKL and ΔPQR is given.

It is given that both the triangles are similar.

In ΔJKL, the ∠LJK = 35° and in ΔPQR, the ∠RPQ = 35°.

In ΔJKL, the measurement of line segment LJ is = 28 units

In ΔJKL, the measurement of line segment KJ is = x units

In ΔPQR, the measurement of line segment RP is = 42 units

In ΔPQR, the measurement of line segment QP is = 33 units

To find the value of x use the method of indirect measurement.

According to the rule of indirect measurement -

LJ/RP = KJ/33

Substituting the values into the equation -

28 / 42 = x / 33

28 × 33 = 42x

x = (28 × 33) / 42

x = 924 / 42

x = 22 units

Therefore, the measurement of x is 22 units.

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Answer:

-6

Step-by-step explanation:

You should subtract 6 because the angle is equal to 130

-6 is the answer ........

pls mark as brainlest if correct

Answer:

43 units^2

Step-by-step explanation:

Area of a rectangle is

A = l*w

The bottom rectangle is 3 by 11 for an area of 33

The top rectangle is  2 by 5 for an area of 10

Add the areas together

33+10 = 43

We have a system of two coupled first-order differential equations:

dz/dt - 5y = 9cos(4t)

dy/dt = z

To convert the given second-order differential equation into a system of coupled equations, we introduce a new variable z = dy/dt. This allows us to rewrite the equation as a system of two first-order differential equations.

dz/dt = d^2y/dt^2 - 5y = 9cos(4t)

dy/dt = z

In equation (1), we substitute the value of d^2y/dt^2 as dz/dt to obtain:

dz/dt - 5y = 9cos(4t)

Now we have a system of two coupled first-order differential equations:

dz/dt - 5y = 9cos(4t)

dy/dt = z

These coupled equations represent the original second-order differential equation, where the variables y and z are dependent on time t and are related through the equations above. The first equation relates the rate of change of z to the values of y and t, while the second equation expresses the rate of change of y in terms of z.


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Answer:

8.8 hours

Step-by-step explanation:

happy paws charges $21 in addition to $2.5 per hour -- we can write this as

21 + 2.5 per hour -- since the number of hours is x, this is equal to

21 + 2.5 (x)

similarly, woof watchers is

10 + 3.75 (x)

we must find when the services are equal --

21 + 2.5x = 10+3.75x

subtract 10 from both sides

11 + 2.5x = 3.75x

subtract 2.5x from both sides

11 = 1.25

divide both sides by 1.25

x = 8.8

Given:

given solution is (0,3)

check for sol. put the value in equation then:

for another equation :

so the solution of x and y is right.

I'll perform multivariate analysis instead of univariate analysis to identify  relationships between variables

An univariate analysis means analysis of one variable. The prefix "uni" means one ,It doesn’t deal with causes or relationships and it’s major purpose is to takes data, summarizes that data and finds patterns in the data.

The multivariate analysis is used to the analysis of more than one variable. You can remember this because the prefix “multi” means “more than one.”

It is used to study more complex sets of data than what univariate analysis methods can handle. This type of analysis is almost always performed with software.

Univariate analysis allows us to understand the distribution of values for one variable while multivariate analysis allows us to understand the relationship between several variables

Hence , I'll perform multivariate analysis instead of univariate analysis identify  relationships between variables

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The area of the region R is 0.302 square inches and the volume of the region formed is 0.309 cubic units

Given that we have

Region R between y - y³ = 0 and x = 0

When plotted, we have the shape of the region to be semi ellipse with the following dimensions

a = 0.5 and b = 0.384

The area is then calculated as

Area = 1/2πab

So, we have

Area = 1/2 * 22/7 * 0.5 * 0.384

Evaluate

Area = 0.302 square inches

When rotated, the resulting shape is a ellipsoid with the following dimensions

a = 0.5, b = 0.384 and c = 0.384

And the volume is

Volume = 4/3πabc

So, we have

Volume = 4/3 * 22/7 * 0.5 * 0.384 * 0.384

Evaluate

Volume = 0.309 cubic units

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The required zeros of the function y=(x-3)(x + 2)(x-2) is given as 3, -2, and 2. Option C is correct.

Here,
Zero of the function are the values of x, for a function for which the function gives y = 0,
So let y = 0,   - - - - - -(1)

Put y = (x-3)(x + 2)(x-2) in equation 1
(x-3)(x + 2)(x-2) = 0
Equating each parenthesis step by step with zero,
x - 3 = 0     ; x + 2 = 0     ;   x - 2 = 0  
    x  = 3     ;     x  = -2    ;        x = 2

So the values that came out are 3, -2, and 2, are said to be zeros of the given function,

When we substitute any value in the function then y becomes zero such as,
Put x = 3 in function,

y = (3-3)(3+2)(3 - 2)
y = (0)(5)(1)
y = 0

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To determine which group has a larger standard deviation between Group A and Group B, we will need to consider the spread of the data within each histogram.

Standard deviation is a measure of how the data points are dispersed from the mean (average) value. A larger standard deviation indicates a greater degree of variability in the data points.

Without the specific data values, we can't compute the standard deviations for each group. However, we can provide a general guideline for comparing the histograms:

1. Observe the distribution of the data in the histograms for both groups.
2. If the data in Group A's histogram is more spread out across the range of 1 to 6 compared to Group B's histogram, then Group A is likely to have a larger standard deviation.
3. Conversely, if the data in Group B's histogram is more spread out across the range of 1 to 6 compared to Group A's histogram, then Group B is likely to have a larger standard deviation.

By following these steps and examining the histograms, you should be able to determine which group has a larger standard deviation based on the spread of their data.

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\(\qquad \qquad \textit{sum of an infinite geometric sequence} \\\\ \displaystyle S=\sum\limits_{i=0}^{\infty}\ a_1\cdot r^i\implies S=\cfrac{a_1}{1-r}\quad \begin{cases} a_1=\stackrel{\textit{first term}}{\frac{1}{8}}\\ r=\stackrel{\textit{common ratio}}{\frac{2}{3}}\\ \qquad -1 < r < 1 \end{cases}\)

\(\displaystyle\sum_{k=0}^{\infty} ~~ \underset{a_1}{\frac{1}{8}}\underset{r}{\left( \frac{2}{3} \right)}^k\implies S=\cfrac{ ~~ \frac{1}{8} ~~ }{1-\frac{2}{3}}\implies S=\cfrac{ ~~ \frac{1}{8} ~~ }{\frac{1}{3}}\implies S=\cfrac{3}{8}\)