What is the image of the point (-7,9) after a rotation of 270∘ counterclockwise about the origin?

(?,?)

Answer:

equals 0

Step-by-step explanation:

Answer:

11.

\(1 \times \frac{3}{8} \)

12.

\(2 \times \frac{5}{6} \)

Answer:

- 43

Step-by-step explanation:

f ( x ) = - 2x² + 2x - 3

To find : f ( 5 )

f ( 5 ) = f ( x )

Here,

x = 5

f ( 5 ) = - 2x² + 2x - 3

        = - 2 ( 5 )² + 2 ( 5 ) - 3

        = - 2 ( 25 ) + 10 - 3

        = - 50 + 7

f ( 5 ) = - 43

Answer:

-43

Step-by-step explanation:

oon edge

mark me brain

The square root of 169 is indeed 13.When simplifying the square root of a perfect square (a number that has an exact integer square root), we find the square root by identifying the largest perfect square factor of the given number. In this case, 169 is a perfect square because it can be expressed as 13^2.

To simplify the expression √169, we need to find the square root of 169. The square root of a number is a value that, when multiplied by itself, equals the original number.

In this case, we can calculate the square root of 169 as follows:

√169 = 13

So, the simplified form of the expression √169 is 13.

To verify this result, we can square 13 to check if it equals 169:

13^2 = 169

Therefore, the square root of 169 is indeed 13.

In general, when simplifying the square root of a perfect square (a number that has an exact integer square root), we find the square root by identifying the largest perfect square factor of the given number. In this case, 169 is a perfect square because it can be expressed as 13^2.

Taking the square root of a perfect square yields the positive and negative square roots of that number. However, when referring to the principal square root (which is typically denoted by the radical symbol), we consider only the positive square root.Hence, the simplified form of √169 is 13.

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Answer:

y = 2x - 5

Step-by-step explanation:

. A linear function has the following form. y = f(x) = a + bx.

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Based on the data, the statement that is most likely correct is D. In Grade 9, 18% of students liked running.

The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.

From the information, the Dean collected data on the favorite sports of the students of two grades.

Here, the table shows the relative frequencies of rows for the data collected:

Swimming      Running Volleyball Row     totals

Grade 8          0.17       0.24              0.05     0.46

Grade 9           0.14       0.18             0.22      0.54

Column totals 0.31      0.42              0.27        1

In the table, Grade 9, 18% of students liked running. This is Illustrated above. The correct option is D.

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Step-by-step explanation:

m=

\( \frac{y}{x} \)

=6÷-4

=-1.5

also

(-2,22)

=-2÷22

=-1.5909090

The point slope formula is used to determine the equation of a line that has a slope of m and crosses a point \($$(x_1,y_1)\). The equation in the point slope form is 8x - y + 38 = 0.

The equation of a line can be discovered using the point slope formula. Only when the slope of a line and a location on the line are known can we utilize this formula. The point slope formula is used to determine the equation of a line that has a slope of m and crosses a point \($$(x_1,y_1)\).

The equation in point slope form is \((y-y_1)(x_2-x_1)=(y_2-y_1)(x-x_1)\)

Let the given points be(-4, 6) and (-2, 22)

\($$(x_1,y_1)\) = (-4,6) and \((x_2,y_2)\) = (-2, 22)

The equation in point slope form is

\((y-y_1)(x_2-x_1)=(y_2-y_1)(x-x_1)\)

substitute the values in the above equation, we get

i.e., (y - 6)(-2 - (-4)) = (22 - 6)(x - (-4))

simplifying the above equation, we get

⇒ (y - 6)(2) = (16)(x + 4)

⇒ y - 6 = 8(x + 4)

⇒ 8x - y + 38 = 0

Therefore, the required equation in the point slope form is 8x - y + 38 = 0.

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Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

The English mathematician Augustus DeMorgan, who lived in the 19th century, was born in the year 1806.

For the year of birth of the English mathematician Augustus DeMorgan, who lived in the 19th century and said he was x years old in the year x²:

1. First, identify the range of the 19th century, which is from 1801 to 1900.

2. Next, find the square root of the years within this range, which will give you possible values of x.

3. Then, determine the corresponding year of birth for each value of x by subtracting x from the year x².

Let's find the possible values of x:

- For the lower bound, √1801 ≈ 42.5, so the smallest possible value for x is 43.
- For the upper bound, √1900 ≈ 43.5, so the largest possible value for x is 43.

Since x = 43, calculate the year of birth:

Year of birth = x² - x = 43² - 43 = 1849 - 43 = 1806.

Therefore, Augustus DeMorgan was born in the year 1806.

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The percentage of measurements that are above the 39th percentile is 61%.

To calculate the percentage of measurements above the 39th percentile, we need to find the complement of the percentile value. The 39th percentile represents the value below which 39% of the measurements fall. Therefore, the complement of the 39th percentile is the percentage of measurements above that value. Since the total percentage adds up to 100%, subtracting 39% from 100% gives us the percentage of measurements above the 39th percentile, which is 61%.

In summary, the percentage of measurements that are above the 39th percentile is 61%. This means that 61% of the measurements are higher than the value corresponding to the 39th percentile.

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What is the percentage of measurements that fall above the 39th percentile?

There is a circumference of 69.167 miles per degree of latitude.

Firstly, we assume that the earth is a spherical form to simplify calculations as spheres have constant radii of curvature, because the real form of the planet is similar to a oblate spheroid, a kind of ellipsoid. In addition, the circular arc (s), in miles, is directly proportional to the measure of the central angle (θ), in degrees, that is:

s ∝ θ

s = k · θ         (1)

Where k is the constant of proportionality, in miles.

Now we eliminate the constant of proportionality and we calculate the circular arc afterwards:

s / 24900 mi = 1° / 360°

s = 1 / 360 × 24900 mi

s = 69.167 mi

There is a circumference of 69.167 miles per degree of latitude.

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Answer:

Arc Length = 68.7

Step-by-step explanation:

The formula that is used to find the arc length:

s = (θ/360) * 2πr

(You would get the value of θ, by subtracting 57 from 360)

(You would get r by dividing 26 by 2)

Now we can solve this;

s = (303/360) 2π(13)

s = 0.842 * 2π(13)

s = 0.842 * 0.283(13)

s = 68.7

Hope this helps!

Answer:

0.13188 km

Step-by-step explanation:

The distance covered by the bicycle wheel can be calculated using the formula:

distance = circumference x number of revolutions

The circumference of the wheel can be calculated using the formula:

circumference = 2 x pi x radius

where pi is approximately equal to 3.14.

Substituting the given values:

circumference = 2 x 3.14 x 30 cm

circumference = 188.4 cm

Now, we can calculate the distance covered by the wheel:

distance = circumference x number of revolutions

distance = 188.4 cm x 70

distance = 13188 cm

To convert this distance from centimeters to kilometers, we need to divide by 100,000 (since there are 100,000 centimeters in a kilometer):

distance = 13188 cm ÷ 100,000

distance = 0.13188 km

Therefore, the distance covered by the bicycle wheel is approximately 0.13188 km.

The null hypothesis is that the average speed of motorists on a highway with a speed limit of 55 mph is equal to 55 mph.Given statement is false.

A statistical hypothesis test is a technique for determining whether the available data are adequate to support a specific hypothesis. We can make probabilistic claims about demographic parameters through hypothesis testing.

The null hypothesis should be a statement of no difference or no effect. In this case, the null hypothesis would be that the average speed of motorists on the highway is equal to 55 mph.

So the correct statement would be:

The null hypothesis is that the average speed of motorists on a highway with a speed limit of 55 mph is equal to 55 mph.

Thus, Given statement is false.

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Angles DAC and DBC are equal.

To prove that ∠DAC = ∠DBC in quadrilateral ABCD, where ∠A = ∠C = 90°, we can use the property that the diagonals of a quadrilateral bisect each other if they intersect at their midpoints.

Since ∠a = 90º, we have ∠dab + ∠abc = 90º. Similarly, since ∠c = 90º, we have ∠dcb + ∠cba = 90º. Adding these two equations, we get:

∠dab + ∠abc + ∠dcb + ∠cba = 180º

Rearranging the terms, we get:

∠dab + ∠cba = ∠dac

and

∠dcb + ∠abc = ∠dbc

Since ∠abc = ∠cba (opposite angles in a parallelogram are equal), we can substitute this in the above equations to get:

∠dab + ∠cba = ∠dac

and

∠dcb + ∠cba = ∠dbc

Subtracting these two equations, we get:

∠dac - ∠dbc = (∠dab + ∠cba) - (∠dcb + ∠cba) = ∠dab - ∠dcb

Since ∠dab and ∠dcb are alternate interior angles formed by the transversal ac, which intersects the parallel lines ab and dc, we have ∠dab = ∠dcb. Substituting this in the above equation, we get:

∠dac - ∠dbc = ∠dab - ∠dcb = 0

Therefore, ∠dac = ∠dbc

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Answer:

the answer is 183.77

Step-by-step explanation:

if you know the price was 7.99 for each one he bought you work multiply 23 by 7.99 and you get 183.77.

Answer:

$280

Step-by-step explanation:

Answer:180

Step-by-step explanation:

Answer:

is this a multiple choice question? if so can you retype it out to show the separate answer choices because im having trouble reading your question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Took the test and got it right.

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

10 Km/h

Step-by-step explanation:

Let the speed of the container ship be y

The speed of the aircraft = y + 5

Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:

Speed of aircraft (Sₐ) = y + 5

Distance travelled (dₐ) = 450 Km

Time for aircraft (tₐ) =?

Speed = distance / time

Sₐ = dₐ / tₐ

y + 5 = 450 / tₐ

Cross multiply

(y + 5) × tₐ = 450

Divide both side by (y + 5)

tₐ = 450 / (y + 5)

Finally, we shall determine the speed of the carrier. This can be obtained as follow:

Speed of container ship (S꜀) = y

Distance travelled (d꜀) = 300 Km

Time for container ship (t꜀) = Time for aircraft (tₐ)

Time for aircraft (tₐ) = 450 / (y + 5)

t꜀ = tₐ

t꜀ = 450 / (y + 5)

Speed = distance / time

S꜀ = d꜀ / t꜀

y = 300 ÷ 450 / (y + 5)

y = 300 × (y + 5) / 450

y = (300y + 1500) / 450

Cross multiply

450y = 300y + 1500

Collect like terms

450y – 300y = 1500

150y = 1500

Divide both side by 150

y = 1500 / 150

y = 10 Km/h

Thus, the speed of the container ship is 10 Km/h.

37 is at the 50th percentile in the given set of values.

To find the percentile of 37 in the given set of values, we need to count the number of values in the set that are less than or equal to 37, and then divide by the total number of values in the set.

The given set has 16 values, and there are 8 values that are less than or equal to 37.

So, the percentile of 37 is:

Percentile = (number of values below score / total number of values) × 100

Percentile = (8 / 16) × 100

Percentile = 50

Therefore, 37 is at the 50th percentile in the given set of values.

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Answer: See explanation

Step-by-step explanation:

x=-(2-2*the square root of 6)/5, about 0.58

or

x=-(2+2*the square root of 6)/5, about -1.38

The values of the x from equation  \(5x^2+4x-4=0\) are  x = 0.5798 and -1.38.

Given that:

Equation:  \(5x^2+4x-4=0\)

To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:

\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)

Compare the equation with \(ax^2 + bx + c = 0\).

Here, a = 5, b = 4, and c = -4.

Plugging in the values to get,

\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)

So the solutions for x are calculates as:

Taking positive sign,

\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)

x = 5.798/10

x = 0.5798

Taking negative sign,

\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)

x = -13.798/10

x = -1.38

Hence, the exact solutions for the equation  \(5x^2 + 4x - 4 = 0\)  are x = 0.5798 and -1.38.

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Answer:

5

Step-by-step explanation:

4 x 6= 24 x 1/2 = 12

10-6 = 4 x 4 = 16

cut a imaginary line above line (4) . that sapce below it is 4x4.

1 is the remaining distance for the top.

4+1=5

The miles Kathy can travel if she wants to spend exactly $20.00 on a cab ride is 37 miles.

The equation that can be used to represent the information in the question is:

20 = 1.50 + 0.5m

In order to determine the number of miles Kathy can ride, take the following steps :

Combine similar terms

20 - 1.50 = 0.5m

Add similar terms

18.50 = 0.5m

Divide both sides of the equation by 0.5

m = 18.50 / 0.5

m = 37 miles

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There are various ways to represent the negation of a statement, or proposition p. One possible method is to use the symbol ~. Therefore, the negation of proposition p would be represented as ~p.

Similarly, if the proposition p is defined as "it is not snowing," then the negation of p, or not-p, would be represented as ~p or "it is snowing." This is because the negation of "it is not snowing" is "it is snowing."Thus, the equivalent proposition of not-p is "it is snowing." In summary, the negation of any statement p is a proposition that is the opposite of p. The negation of "it is not snowing" would be "it is snowing."Long explanation:For any statement p, there are different ways to express its negation or opposite. One way is to use the logical negation symbol, which is ~.

If p is the proposition "it is not snowing," then the negation of p or not-p would be represented as ~p or "it is snowing." This is because the negation of a negative statement is a positive statement. For instance, if we negate the statement "I am not happy," the result would be "I am happy." Likewise, if we negate the statement "it is not snowing," we would obtain "it is snowing."Therefore, the equivalent proposition to not-p is "it is snowing." This is because not-p is the negation of p, which means that it is the opposite of p. Since p is "it is not snowing," then not-p would be "it is snowing."

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Answer:

The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers.

Step-by-step explanation:

To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).

Answer:

a^2b^3

Step-by-step explanation:

Expression:

ab^2(ab)

Simplify it:

a*a=a^2

b^2*b=b^3

Put them together:

a^2b^3

Hope this helps. Have a great day!