Two linear equations are shown.
C
654321₁
4
66
y=1/3x+2
y=4/3x-5
What is the solution to the system of equations?
O (7.4)
0 (7.33)
O
0 (8)
O
O (9.7)

Answer:

[tex]98 \pi \:\: \sf units^2[/tex]

Step-by-step explanation:

[tex]\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

From inspection of the given diagram, circle C and circle D both have a radius of 7 cm.

Therefore:

[tex]\implies \textsf{Area of circle C}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]

[tex]\implies \textsf{Area of circle D}=\pi (7)^2=49 \pi \:\: \sf cm^2[/tex]

Therefore, the sum of the areas of circle and circle D is:

[tex]\implies \textsf{Area of circle C}+\textsf{Area of circle D}=49 \pi + 49 \pi = 98 \pi \:\: \sf cm^2[/tex]

The sum of the areas of the circles is 98π units².

The correct option is D.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

The formula for the area of a circle is A=πr², where A is the area and r is the radius.

For circle C, the radius is 7, so its area is A_C = π(7)² = 49π units².

For circle D, the radius is also 7, so its area is A_D = π(7)² = 49π units².

The sum of the areas is therefore:

A_C + A_D = 49π + 49π = 98π units²

Therefore, the answer is (D) 98π units².

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Answer:

Step-by-step explanation:

Answer:

One possible answer is:  2.25p + 2.25b + 2.25s

Another possible answer:  2.25(p + b + s)

==========================================================

Explanation:

Each item costs $2.25 per box, so,

Add up those subtotals to get the grand total

2.25p + 2.25b + 2.25s

is one possible answer

What we can do is factor out the common 2.25 using the distributive rule in reverse.

Another possible answer is:  2.25(p + b + s)

The actual height of the building is 67 1/2 feet

The courthouse is the tallest building in the city. If it is 7 1/2 inches tall in the model, how tall is the actual building?

Scale factor: 1 inch = 9 feet

The given parameters are:

This means that:

7 1/2 inches : Actual = 1 inch = 9 feet

So, we have:

Actual =7 1/2 * 9 feet

Evaluate the product

Actual = 67 1/2 feet

Hence, the actual height of the building is 67 1/2 feet

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Jeremy's debt-to-credit ratio is 0.471.

debt-to-income ratio is the percentage of a consumer's monthly gross income that goes toward paying debts.

Here, Based on the given conditions,

formulate = Total debt / total credit limit

                 = 2355 / 5000

                = 471/1000

Cross out the common factor: 471/1000

Round 471/1000 to the required place:: 0.471

Thus, Jeremy's debt-to-credit ratio is 0.471.

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Jaime is incorrect, the angle does not depend on the radius of the circles.

Remember that an angle that defines an arc on a circle, does not depend on the radius of the circle.

So, if we have an angle with a measure of π/3 radians in a circle with a radius of 3 inches and an angle with a measure of π/3 radians in a circle with a radius of 6 inches, these two angles are exactly the same thing.

The radius of the circle only has an impact on the length of the arc defined by the angle.

So Jaime is clearly incorrect.

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The answer for the exponential expressions 1,2,3 and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.

Exponential notation is a type of mathematical shorthand that allows us to write complex formulas in a more concise manner.

The basis of an exponent is a number or letter. It means that the base will be raised to a given level of power. The base is X, and the power is n.

The properties of the exponent used;

[tex]\rm m^a \times m^b = m^{a+b} \\\\ m^a \times n^a = {mn}^a \\\\ m^a \times m^b = m^{a-b} \\\\ m^0 = 1[/tex]

Expression 1;

[tex]\frac{(2.3^{-2})^2(5.3^2.2)^2}{(3)^-2(5.2)^2} \\\\ \frac{2^3.3^{-6}.5^2.3^6}{3^{-2}.5^2.2^2} \\\\ 4.5[/tex]

Expression 2;

[tex](3^3)(4^0)(3.2)^{-3}(2)^2 \\\\ 3^3.1.3^{-3}.2^{-3}.2^2 \\\\ \frac{1}{2}[/tex]

Expression 3;

[tex]\frac{(3^7.4^7)(2.5)^{-3}(5)^2}{12^7.5^{-1}.2^{-4}} \\\\ \frac{3^7.4^7.25^{-3}.5^{-3}.5^2}{12^7.5^{-1}2^{-4}} \\\\ 2[/tex]

Expression 4;

[tex]\frac{(2.3)^{-1}.2^0}{(2.3)^{-1}}\\\\ \frac{2^{-1}.3^{-1}.1}{2.3}\\\\ 1[/tex]

Hence, the answer for the exponential expressions 1,2,3, and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.

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Answer:

I assume you meant "y = -x+7" not "= -x +7". If that is correct then the slope is -1.

Step-by-step explanation:

The slope is the coefficient of the x in slope-intercept form. Therefore, the slope is -1.

Please give me Brainliest if this answer is correct.

Answer: 128

Step-by-step explanation:

[tex]4^3 = 4*4*4 = 16*4 = 64[/tex]

[tex]8^2 = 8*8 = 64[/tex]

[tex]64+64 = 128[/tex]

The infusion time for the IV solution that will be prescribed 480 mins.

The time taken by the saline to be dripped in the infusion is called as the infusion time.

To calculate the infusion time the formula for IV drip rate is used which is;

Drip rate = volume/time × Drop factor

Drip rate = 5gtt/min

Volume = 120mL

Drop factor= 20 gtt/mL

Time = ?

From the formula above, make time the subject of the formula. That is,

Time = vol × drop factor/drip rate

Time = 120 × 20/5

Time= 120 x 4

Time= 480 mins

Therefore, the infusion time for the IV solution that was prescribed = 480 mins

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The statement that is true about the linear inequality of y > 3/4x - 2 is that the graph intercepts the y-axis at (0, -2).

Linear inequality is defined as the comparison of two values using greater than, less than, greater than or equal to, and less than or equal to.

Using the general formula for linear inequality,

y >mx+ b

y > 3/4x - 2

Where m = slope of the graph

b = interception at y axis

Therefore, the statement that is true about the linear inequality of y > 3/4x - 2 is that the graph intercepts the y-axis at (0, -2).

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Answer:

the credit goes to create slavic language isSt. Cyril (or Constantine) and St. Methodius.

St. Cyril ( or Constantine) and St. Methodius are credited with creating an alphabet for several Slavic languages.

Here,

We have to find, Who is credited with creating an alphabet for several Slavic languages.

Who was Slavs?

Slavs are Indo-European people who speak the various Slavic languages of the larger Balto-Slavic linguistic group.

Now,

St. Cyril ( or Constantine) and St. Methodius are credited for creating an alphabet for several Slavic languages.

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Answer:

pi/6

Step-by-step explanation:

honestly just do it in a calculator that is set to radians.

The 15 are women, keeping track of the number of men chosen is Not binomial the trials are not independent.

We have given that,

The given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 people (without replacement) from a group of 58 people, of which 15 are women, keeping track of the number of men chosen.

In samples with replacement, the probability has to be the same for each trial, that is, they are independent.

Hypergeometric distribution

Samples without replacement, as the probabilities depend on the previous outcomes, that is, they are not independent.

In this question

Marbles are chosen without replacement, which means that for each trial the probabilities of choosing a red marble are different, which means that the trials are not independent. So the answer is:

Not binomial the trials are not independent.

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Using limits, the end behavior of the functions are given as follows:

a. Rises to the left and falls to the right.

b. Rises to the left and rises to the right.

c. Falls to the left and rises to the right.

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In item a, we have that, respectively, to the left and to the right.

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -5x^3 = -5(-\infty)^3 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -5x^3 = -5(\infty)^3 = -\infty[/tex]

Hence it rises to the left and falls to the right.

In item b, we have that, respectively, to the left and to the right.

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 3x^6 = 3(-\infty)^6 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 3x^6 = 3(\infty)^6 = \infty[/tex]

Rises to the left and rises to the right.

In item c, we have that, respectively, to the left and to the right.

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 20x^3 = 20(-\infty)^3 = -\infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 20x^3 = 20(\infty)^3 = \infty[/tex]

Falls to the left and rises to the right.

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Answer:

x < -1

Step-by-step explanation:

Draw a parabola (the graph) passing trough two x-intercepts -1 and 3 and open up.

Answer:

continuous random variable

The water travels in 3 seconds.

The correct option is (C).

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given information-

x          0       1       2       3      4      5

f(x)     1.5      2     1. 5     0    -2.5   -6

The image of table attached below.

Here, x represents the time (sec) and f(x) represent the height in feet above the pool’s water line.

From the table,

Hence, the water travel through the air for the 3 seconds.

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An expression is defined as a set of numbers, variables, and mathematical operations. The value of g(f(x)) is (x²-10x+13) / (x²-10+29).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The complete questions is,

Write g(f(x)) as an expression in terms of x

f(x) = x-5

[tex]g(x) = \dfrac{x^2-12}{x^2+4}[/tex]

The value of g(f(x)) as an expression in terms of x can be written as,

[tex]g(f(x)) = \dfrac{(x-5)^2-12}{(x-5)^2+4}\\\\\\g(f(x)) = \dfrac{x^2+25-10x-12}{x^2+25-10x+4}\\\\\\g(f(x)) = \dfrac{x^2-10x+13}{x^2-10+29}[/tex]

Hence, the value of g(f(x)) is (x²-10x+13) / (x²-10+29).

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Answer:

12

Step-by-step explanation:

Input interpretation: triangle | vertex coordinates (-3, 5) | (-3, 2) | (1, 2) | perimeter

Result: 12

Properties of Triangle:

Answer:

To find out actual distance on earth, we need to measure scale. The scale is 1cm to 15 km. Thus, 10 cm on map is equal to ( 10*15) = 150 km on earth. Thus, actual distance on earth is 150 km.

The polynomial function that could represent the graph is f(x) = x²(x - a)(x - b)² with four turning points

An equation is an expression that shows the relationship between two or more numbers and variables.

The maximum number of turning points of a polynomial function is always one less than the degree of the function.

Hence the polynomial represented by the graph is of degree 5 since it has 4 turning points. The polynomial function that could represent the graph is f(x) = x²(x - a)(x - b)²

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Answer:

x ≤ - 1

Step-by-step explanation:

2x - 8 ≤ - 10 ( add 8 to both sides )

2x ≤ - 2 ( divide both sides by 2 )

x ≤ - 1

Answer:

x ≤ -1

Step-by-step explanation:

Given,

2x - 8≤ -10

Solution:

Add 8 to both sides:

Divide both sides by 2:

Value of x is ≤ -1.

Answer:

the answer is d as 38 31 which are highest

Step-by-step explanation:

a is false as 38>31 which is on Saturday
b is false as Saturday customers were less we can infer from the last three on Friday
c false as Saturday was 12 people and Friday 6 people

The function that has an x-intercept of - 4 and a y-intercept of 3 when graphed is f(x) = 3/4x + 3

The x-intercept of a line is the point where the line crosses the x-axis while the y-intercept of a line is the point where the line crosses the y-axis.

For the x-intercept, y = 0

For the function f(x) = 3/4x + 3

0 = 3/4x + 3

0 = 3x + 12

-3x = 12

x = -4

This shows that the function has an x-intercept of -4

For the y-intercept, x = 0

For the function f(x) = 3/4x + 3

y = 3/4(0) + 3

y = 3

This shows that the function has an y-intercept of 3

Hence the function that has an x-intercept of - 4 and a y-intercept of 3 when graphed is f(x) = 3/4x + 3

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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8.46 be located between 8.45 and 8.47 on a number line.

A number line is a horizontal line that has equally unfolded range increments. The numbers protected on the line will determine how the wide variety on the road may be responded to. The query that goes with the wide variety determines how it will likely be used, as an instance, in plotting a point.

Numbers on various lines include all sets of numbers namely natural and complete numbers. An instance of a fixed of entire numbers is:(0, 1, 2, 3,5,6 …….) while the natural numbers consist of:1, 2, 3, four, five, 6…. a number of lines consists of 3 basic elements. within the center, the starting place is commonly plotted with 0.

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Answer: 3

Reason:

Going from x^2 to (x+5)^2 means we shift the graph 5 units to the left.

The +3 at the end shifts the parabola up 3 units. This is because we add 3 to each y value. For instance a point like (0,25) moves to (0,28)