On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y > 2x + 3
y < 2x + 3
y > −2x + 3
y < −2x + 3

they're everywhere now

Answer:

wow okay. I just want points tbh

Answer:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.

Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.

Step-by-step explanation:

i copied the answer bc i finished and that was the answer.

Answer:

:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.

Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.Step-by-step explanation:

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Answer: The equation y = 53+2x relates the variables x and y, where x represents the number of days the crew has worked and y represents the total length of the road.

The change per day in the road's length is given by the coefficient of x in the equation, which is 2. Thus, the change per day in the road's length is 2 miles.

The road's length when the crew started working is given by the constant term in the equation, which is 53. Thus, the road's length when the crew started working was 53 miles.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

you do 2x+2x+6+3x+1 as this is simplified then it is 7x+7=35 then you take away 7 and that is 7x=28 and then u do x=28/7 and then you do x=4 you can check by substituting X

Step-by-step explanation:

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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The areas of the curve under the z-scores are 0.152 and 0.311

The area under the standard normal curve to the right of z=1.03.

From the question, we have the following parameters that can be used in our computation:

z = 1.03

To determine the area of the curve, we make use of the z-score table of values

Using the z-score table of values, we have the following value

Area = 0.152

The area under the standard normal curve between z= -2.28 and z = -0.46

In this case, we have

Between z = -2.28 and z = -0.46

To determine the area of the curve, we make use of the z-score table of values

Using the z-score table of values, we have the following value

Area = 0.9887 - 0.67724

Evaluate

Area = 0.311

Hence, the areas are 0.152 and 0.311

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

79-83= 2

84-88 =4

89-93= 5

94-98=2

Step-by-step explanation:

put in order then you can just count them

If any number is divided by zero. the result is indeterminate.

Therefore, zero is the non-permissible replacement for x.

9514 1404 393

Answer:

  94.9

Step-by-step explanation:

It is straightforward addition to find the sum of the two numbers to be 94.871. Perhaps you're interested in rounding to the appropriate precision.

Here, the number with the fewest digits right of the decimal point is 10.9. In order to round the addition result appropriately, that "exact" result must be rounded so it has this same number of digits to the right of the decimal point (1 digit).

  94.871 ≈ 94.9

_____

Additional comment

When you're asked to round a sum (or difference) to the appropriate precision, always first compute the exact result using the full precision of all contributors. Then determine the contributor with the least precision (least significant digit is farthest to the left), and round the result to that same precision.

Answer:

Step-by-step explanation:

(4x8)+(3x5) = 32+15 = 47^2cm

The resistance in the circuit is 11.63 ohms

Resistance is the opposite of the flow of current. It can also be defined as the ratio of square of voltage to the power of a circuit. It is measured in ohms.

The factors that affects the resistance of a conductor are;

1. temperature

2. length of the wire

3. Area of the wire

4. Nature of the wire

power = V²/R

R = V²/P

P = 1238 W

v = 120

R = 120²/1238

R = 14400/1238

R = 11.63 ohms

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Answer:

Option C: 6(7 * 7)

Step-by-step explanation:

There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.

Answer:

Let me know if you can see this SS

Step-by-step explanation:

It has the answers

  In a two way frequency table,

"To get the relative frequency divide all frequencies by total frequency"

      Therefore, relative frequency table for the given table will be,

                                                  Lunch order

                              Sandwich                   Pasta                     Total

Volleyball              \(\frac{19}{70}\times 100=27\)            \(\frac{15}{70}\times 100=21\)          \(\frac{34}{70}\times 100=49\)

Swimming             \(\frac{26}{70}\times 100=37\)            \(\frac{10}{70}\times 100=14\)          \(\frac{36}{70}\times 100=51\)

Total                      \(\frac{45}{70}\times 100=64\)            \(\frac{25}{70}\times 100=36\)          \(\frac{70}{70}\times 100=100\)

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We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

P(2 reds) = 1/45

Step-by-step explanation:

P(2 reds) = P(1st red) * P (2nd red) = 2/10 * 1/9 = 1/45

(i) The first term (a) is 24 and the common difference (d) is -2.

(ii) The sum of the progression is 2520.

i) Finding the first term and common difference:

Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).

The nth term formula is: An = a + (n-1)d

Using the given information, we can substitute the values:

-54 = a + (40-1)d

-54 = a + 39d

We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:

S15 + S30 = 0

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values for S15 and S30:

[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0

Simplifying the equation:

15(2a + 14d) + 30(2a + 29d) = 0

30a + 210d + 60a + 870d = 0

90a + 1080d = 0

a + 12d = 0

a = -12d

Substituting this value into the equation -54 = a + 39d:

-54 = -12d + 39d

-54 = 27d

d = -2

Now we can find the value of a by substituting d = -2 into the equation a = -12d:

a = -12(-2)

a = 24

Therefore, the first term (a) is 24 and the common difference (d) is -2.

ii) Finding the sum of the progression:

The sum of the first n terms of an arithmetic progression can be calculated using the formula:

Sn = (n/2)(2a + (n-1)d)

Substituting the values:

S40 = (40/2)(2(24) + (40-1)(-2))

S40 = 20(48 - 39(-2))

S40 = 20(48 + 78)

S40 = 20(126)

S40 = 2520

Therefore, the sum of the arithmetic progression is 2520.

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259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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The dog eats 6 cupcakes in 22 days.

(don't know why a dog would be eating cupcakes in the first place, but sometimes math questions don't make the most sense)

Answer:

6 cupcakes

Step-by-step explanation:

"Every 11 days, my dog eats 3 cupcakes" can be written as a proportional relationship in fraction form: \(\frac{11}{3}\).

Now, let's set a proportion between the values given.

As you can see, the number of days is multiplied by 2 to get 22 days. Whatever we do to the numerator, we must do to the denominator. Then, 3 multiplied by 2 is 6.

Therefore, the answer is 6 cupcakes.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

54,18

Step-by-step explanation:

for example the number 36 can be as a product of primes as 36=2 exponents two x 3 exponents 2 the expression 2 exponents 2 x 3 exponents 2 is said to be on the prime factorization of 36

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Answer:

answer: 1 + 2 = 3

answer: 1 + 2 = 3

Answer:

1+2=3

Step-by-step explanation:

it math

Pamela would have to run approximately 4.29 hours to catch up with Tony.

To determine how long Pamela would have to run to catch up with Tony, we need to find the time it takes for Pamela to cover the distance Tony covered during the 15 hours he had already been traveling.

Since Tony traveled at a constant speed of 2 mph for 15 hours, the distance he covered is given by:

Distance = Speed * Time

Distance = 2 mph * 15 hours

Distance = 30 miles

Now, Pamela wants to catch up with Tony, so she needs to cover the same distance of 30 miles. Pamela runs at a speed of 7 mph.

To find the time it takes for Pamela to cover the distance of 30 miles, we can use the formula:

Time = Distance / Speed

Time = 30 miles / 7 mph

Using division, we find:

Time ≈ 4.29 hours

Therefore, Pamela would have to run approximately 4.29 hours to catch up with Tony.

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