What is the prime factorization of 42?
O 2 x 3 x 4
O 2 X 3 X 7
O 3 X 3 X 4
O 3 x 3 x 7

Using trigonometric identities, the given expression, tan(x) × cos(x), simplified to a single trigonometry is sin(x)

From the question, we are to simplify the given trigonometric expression

From the given information

The given expression is

tan(x) × cos(x)

From trigonometric identities, we know that

tan(x) = sin(x) / cos(x)

Now,

Substituting this value in the given expression

tan(x) × cos(x)

We get

sin(x) / cos(x) × cos(x)

Simplifying further

sin(x) / cos(x) × cos(x) = sin(x)

Hence,

The simplified expression is sin(x)

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Answer:

what

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

x-2y=4 has a x-intercept of 4, a slope of 1/2, and a y-intercept of -2. 2x+y=4 has a x-intercept of -2, a slope of 2, and a y-intercept of -4.

Answer: 30%

Step-by-step explanation: just add the 20% and 10% and you get 30%

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Step-by-step explanation:

92007(1)1

since one is on the tens value, always jump to the next number.

It is greater than 5 add one to the next no.

= 9201000, The rest become zeros

Answer:

It is not linear

Step-by-step explanation:

If you plug that function into Desmos graphing Calculator, you can see there are two leparate lines and they are not straight.

Answer:

A) an equilateral triangle with acute angles (60°)

B) isn't the lengths of a triangle

C) is a right triangle

D) is a right triangle

Step-by-step explanation:

A) 2,2,2, all sides and angles are all equal

B) applying cos rule to get the angles, an angle will be zero and a triangle can't have zero angle, thus the lengths are not that of a triangle

C) it's a right triangle as the dimensions are a pythagorean triple

D) it's a right triangle as the dimensions are a pythagorean triple

Answer:

centre = (5, - 6 ) , radius = 7

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 10x + 12y + 12 = 0 ( subtract 12 from both sides )

x² + y² - 10x + 12y = - 12 ( collect terms in x/ y )

x² - 10x + y² + 12y = - 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 5)x + 25 + y² + 2(6)y + 36 = - 12 + 25 + 36

(x - 5)² + (y + 6)² = 49 = 7² ← in standard form

with centre (5, - 6 ) and radius = 7

Answer:

Center = (5, -6)

Radius = 7

Step-by-step explanation:

To find the center and the radius of the circle represented by the given equation, rewrite the equation in standard form by completing the square.

To complete the square, begin by moving the constant to the right side of the equation and collecting like terms on the left side of the equation:

\(x^2-10x+y^2+12y=-12\)

Add the square of half the coefficient of the term in x and the term in y to both sides of the equation:

\(x^2-10x+\left(\dfrac{-10}{2}\right)^2+y^2+12y+\left(\dfrac{12}{2}\right)^2=-12+\left(\dfrac{-10}{2}\right)^2+\left(\dfrac{12}{2}\right)^2\)

Simplify:

\(x^2-10x+(-5)^2+y^2+12y+(6)^2=-12+(-5)^2+(6)^2\)

       \(x^2-10x+25+y^2+12y+36=-12+25+36\)

       \(x^2-10x+25+y^2+12y+36=49\)

Factor the perfect square trinomials on the left side:

\((x-5)^2+(y+6)^2=49\)

The standard equation of a circle is:

\(\boxed{(x-h)^2+(y-k)^2=r^2}\)

where:

Comparing this with the rewritten given equation, we get

Therefore, the center of the circle is (5, -6) and its radius is r = 7.

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

You have the right answer ( y=4x )

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Yes, companies that provide mobile wifi hotspots can see your history.

A Wi-Fi hotspots can be defined as  the hotspots that makes it possible for other mobile user connected to a wifi hotspots to browse or to connect to the internet.

For a mobile user to connect to the internet through the mobile wifi hotspot, the mobile hotspot wifi owner must have giving access to mobile user to browse .

Hence, companies that provide mobile wifi hotspots can see your history of the site you visit.

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Answer:

i normally know these but i honestly dont know but can you please put branliest

Step-by-step explanation:

Step-by-step explanation:

Keep in mind that this triangle is a 45-45-90 triangle meaning that it's isosceles

This means that the other side is also equal to s

The best way to solve this is by using the pythagorean theorem

\(a^{2}\)+\(b^{2}\) = \(c^{2}\)

10\(\sqrt{2}\) = c (because it's the hypotenuse or the longest side)

s = a

s= b

Substitute the values into the formula stated above

\(a^{2}\)+\(b^{2}\)= \(c^{2}\)

\(s^{2}\)+\(s^{2}\) =(10\(\sqrt{2}\)\()^{2}\)

Simplify

\(2s^{2}\) = \((\sqrt{102} )^{2}\)

\(2s^{2}\)= 102

Now continue simplifying till you completely solve it

\(\frac{2s^{2} }{2}\)= \(\frac{102}{2}\)

\(s^{2}\)= 51

\(\sqrt{s^{2} }\) = \(\sqrt{51}\)

s=\(\sqrt{51}\)

I hope this helps!!!

Answer:

slope (m) = 4/5

Step-by-step explanation:

Equation of straight line: y = mx + b

∴ 4/5 is the slope

Answer:

c = 18

Step-by-step explanation:

Given

\(\frac{c}{3}\) = \(\frac{30}{5}\) = 6

Multiply both sides by 3

c = 3 × 6 = 18

Answer: 4.5 km>150 cm

Step-by-step explanation:

I think you meant km, because kilograms are not compatible with cm, unless it's kg/m to g/cm.

Kilometers are units of measurement, and so are centimeters, so It'd be accurate only then.

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

$143.82

Step-by-step explanation:

423 x 0.34 = 143.82

423 + 143.82 = 566.82

Answer:

B. 1/4

Step-by-step explanation:

For independent events

P(A and B) = P(A) • P(B)

P(B) = P(A and B)/P(A)

P(B) = 1/8÷1/2

P(B) = (1/8)×2

P(B) = 2/8

P(B) = 1/4

The zeros ( roots ) of the function y = (x + 2)^2 - 25 are x = 3 and x = -7.

Given the function in the question;

y = ( x + 2 )² - 25

To find the zeros of the function, simply means find the values of  x in the function y = ( x + 2 )² - 25, when y equals zero.

Equat the function to 0

(x + 2)^2 - 25 = 0

Adding 25 to both sides, we get:

(x + 2)^2 - 25 + 25  = 0 + 25

(x + 2)^2  = 25

Taking the square root of both sides, we get:

x + 2 = ±√25

x + 2 = +5

Solving for x, we get:

x = -2 + 5 = 3

or x = -2 - 5 = -7

Therefore, the zeros of the function are 3 and -7.

Option 4) -7 and 3 is the correct answer.

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Answer:

13 minutes and 30 seconds

Step-by-step explanation:

Okay so first you would divide 128 by 576. But since it takes her 3 minutes just to type 128 words you have to multiply 4.5 times 3. It will take her 13.5 minutes to type 576 words or 13 minutes and 30 seconds.

Answer:

X = 10/(y-4)

Step-by-step explanation:

4X(y-4) = 40

X(y-4) = 10

X = 10/(y-4)

Answer:

The answer is A

Step-by-step explanation:

Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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Correct answer:

9 26/100 km

Simply just add them. :)

Answer:

72 cubic meters

Step-by-step explanation:

Again to calculate volume you have to take all three measurements given and multiply them like so: x times y times z. In this case x = 4, y = 1 and z = 18. When you multiply all of these terms you get 72 cubic meters.

The volume of the rectangular prism that has height of 4 m, length of 118 m, and width of 10 m is calculated as: 720 m³.

Volume of any rectangular prism = length × width × height of the prism.

Given the parameters for the rectangular prism:

Plug in the values

Volume of the rectangular prism = 18 × 10 × 4 = 720 m³

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Answer:

Answer is letter C.

Answer:

500

Step-by-step explanation: