Match the number with the correct description.
PLEASE HELP

Solution.

Given the sequence

Test which kind of sequence it is

Answer:

Explanation:

Given the below system of linear inequality;

The graph of the linear inequality y < 3 will be a graph with a dashed line with a y-intercept of 3 since the inequality is not with an equal sign as seen below;

The graph of the 2nd linear inequality y >= -5 will be a graph with a solid line with a y-intercept of -5 since it has both the inequality sign and an equality sign as seen below;

Answer

Option C is correct.

Step 6 contains the error.

Explanation

Looking through the steps, we can see easily that the mistake occurs at the 6th step, specifically when the process moves from step 5 to step 6

-1 + cos θ = -2 sin² (θ/2)

If one multiplies through by -1

1 - cos θ = 2 sin² (θ/2)

NOT 1 + cos θ = 2 sin² (θ/2)

Hope this Helps!!!

The first step to solving this problem is to put the variable on one side. Thus, you must move 7 to the right side to make   [tex]\frac{f}{25} \leq -3[/tex]

Next, you must multiply the 25 to the right side to isolate the variable

You get [tex]f \leq -75[/tex]

With this explained, the answer would be the second option (f=-75)

Hope this helped :)

For

For

Given:

The function is,

To find the x intercept set y=0,

So, x-intercepts are ( 0 , 0 ), ( 3, 0 ).

Now to find y-intercepts set x=0.

y- intercept is ( 0 ,0 )

Answer: option e)

we have the function

h(x)=5x+4.​

Create a table

For x=-4

substitute the value of x in the function to obtain h(x)

so

h(-4)=5(-4)+4

h(-4)=-20+4

h(-4)=-16

For x=-3

h(-3)=5(-3)+4

h(-3)=-15+4

h(-3)=-11

For x=1

h(1)=5(1)+4

h(1)=9

For x=2

h(2)=5(2)+4

h(2)=14

For x=5

h(5)=5(5)+4

h(5)=29

To calculate the speed a vehicle is traveling you have to use the following formula:

Where

S: speed

d: distance

t: time

The car traveled d=156miles in t=3hs

Its speed can be calculated as:

The car's speed was 52 miles per hour

the sum of angles in a triangle is 180

missing angle + 90 + 51 = 180

missing angle = 180 - 141

missing angle = 39 degrees.

in the triangle,

x = 200 tan51

x = 200 * 1.234

x = 246.97 ft apporx 247 ft

'so the length x = 247 ft

that is greater than 200

so the answer is

x > 200 ft

Take into account that ACB is an angle, because you can measure the vertex ACB just as an angle.

Then, the answer is:

ACB

First calculate the area of the shaded region by considering the U-shaped bed as formed by three rectangles, as follow:

where the lengths of the sides of the rectangles corresponds with the dimensions of the U-shaped bed.

Then, for the area of the figure, use the formula for the area of a rectangle, for all three rectangles, as follow:

A = 5*18 + 3*20 + 5*18

A = 90 + 60 + 90

A = 240

Then, the area is 240 in^2

Next, convert the previous result to yd^2. Use the equivalence 1 yd = 36 in:

Now, to find the volume convert 30 in to yards:

Finally, multiply the previous result by the area of the figure:

since n, mand r are the constants for a, b,c n=6

The Function is the equation of a line

Step1: we pick any two-point in the of the table and substitute them into the formula below

(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)

Let us pick the point (4,25) and (8,50)

where

The equation we have is:

when we have the variable on both sides of the equation, what we need to do is move all of the variables to one side of the equation.

For example, in this case, to have all of the variables on the same side, we substract 5x to both sides:

On the right side 5x and -5x cancel each other, and we are left with:

Next, we add the like terms on the left side, 3x-5x is equal to -2x:

Since we need to solve for x, we substract 5 to both sides, to leave the variable term alone:

And finally, we divide both sides by -2:

Answer: x=12

The Cartesian equation of the polar equation r² = 5 represents a circle centered at the origin and with radius √5.

In this problem we find a polar equation, that is, f(r, θ) = C, whose Cartesian form must be found by using the following substitutions:

x² + y² = r²                 (1)

x = r · cos θ               (2)

y = r · sin θ                (3)

Then, the Cartesian form of r² = 5 is:

x² + r² = 5

The polar equation represents a circle centered at the origin and with a radius of √5.

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The Cartesian equation of the polar equation r² = 5 represents a circle centered at the origin and with radius √5.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.

Given that r²=5

we find a polar equation,

x²+y²=r²

whose Cartesian form is found by substituting

x=rcosθ

y=rsinθ

as r²=5 then r=√5

So x²+y²=5.

This is equation of circle in polar form.

Hence it represents a circle with a radius of √5.

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we have the expression

We have to find P and Q first.

P is the largest integer that is less than the square root of 380.

P is 19.

Q is the largest number that is less than the square of 54.

Q is 7.

Then the distance between P and Q is |19-7|=12.

Answer: C. 12

It is given that the radius is 6 kilometers and the arc is 126 degrees.

The area of sector is given by:

Therefore the area is 39.5840 square kilometers.

The simple interest formula is:

Where

i is the interest earned

P is the initial (loan) amount

r is the rate of interest

t is the time

Given,

P = 6500

r = 8%, or, 8/100 = 0.08

t = 5

Substituting, we get:

This is only the interest. Beyonce would need to pay the original (6500) plus this interest (2600) in total. Thus, she will have to pay:

You have that 3/16 of the animals are dogs and 5/24 of the animals are cat.

To determine the fraction of animals that are neither dogs nor cat, consider the following:

If 3/16 are dogs, then 13/16 are other animals, but from this fraction, 5/24 are cats. Then, the subtraction 13/16 - 5/24 results in the fraction of animals that are neither dogs nor cat:

simplify the last fraction:

Hence, 29/48 of the animal are neither dogs nor cats

Let Margo buy x number of tiles, So total cost of tiles and tile saw at first store is,

The total cost equation for tile and tile saw for second store (which provide tile saw for free).

Determine the number of tiles for total cost of tiles and tile saw to be equal from both store is,

So Margo purchase 80 tiles, such that total cost is equal from both the stores.

ANSWER:

The value of x is 1, that is, the solution of the equation is 1

STEP-BY-STEP EXPLANATION:

We have the following equation:

Solving for x:

Remember the definition of the tangent function:

Then, we notice that:

Then, we can conclude that:

Something important to remember is that, in quadrant II, the value of sin(x) is positive, whereas the value of cos(x) is negative

So,

Therefore, the answer to the question is option A

The cost price of dealer is $512.

We have to find the dealer's cost of refrigerator.

We know that mark up is on dealer's cost.

We have been given the markup as 5%

Let the dealer's cost of refrigerator be x,

Now, we know that there is a markup on it

So, we will calculate the marked up price

Marked up price = (Cost price * Markup percent)/100 + cost price

Marked up price = x*5/100 + x

Marked up price = 5x/100 + x

Marked up price = x/20 + x = (x+20x)20

Marked up price = 21x/20

We know that marked up price is the selling price and we have been given the selling price of the refrigerator

537.60 = 21x/20

537.60*20 = 21x

10752 = 21x

x = 10752/21

x = 512

The dealer's cost price is $512.

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Solution:

Given the expression;

c is the half of square of coefficient of x. That is;

Hence, the value of c is;

From Triangle Inequality Theorem

The sum of any 2 sides of a triangle must be greater than the measure of the third side.

The sum of 2 sides is less than (or equal to) the measure of a third side.

In an isosceles triangle, two sides are equal.

Then we have an option the third side= 8. Let's analyze!

c+a> b - for a and c =8

8+8 > 10

16> 10

The second option is the third side= 10. Let's analyze!

c+a> b - for a and c =10

10+10> 8

20> 8

Answer

A. either 8 or 10

From the graph, we can see that the town that had most sunny days was Shiny Twon.

So, between this town and Sun City, we have Bright Viallge, that had a number of sunny days between Sun City and Shiny Town.

So the answer is Bright Village.

1.volume = mass*density

v = 1.2 * 3.6 = 4.32 cm3

The density of a substance quantifies how tightly its molecules are packed, which affects how heavy or light it is.

Density is calculated as follows: density=mass/volume. Most often, mass is measured in grams or kilograms. Most often, volume is measured in cubic centimeters (cm3), cubic meters (m3), or millileters (mL).

How can you find mass from density?

multiply the volume by the density.

Mass per unit volume is the definition of density.

ρ = m V

This can be rearranged to yield the mass expression.

m = ρ × V

Example:

What mass of the liquid is present if 500 mL of it has a density of 1.11 g/mL

m = ρ × V = 500 mL × 1.11 g

1 mL = 555 g

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We know that Ava is paying $2 dollars per week so if L is the money that she owes and t is the number of weeks, and I is the initial debt so we can write an equation like:

Now we can replace the info we have to find the value of I so:

and we solve for I

So the final equation will be:

Answer: Triangle has three sides, which are:

We need to find the angle p, that is right across the side P:

This is the value of angle A