(7c³d²+2bc²d + ab) - (-4c³d² + ab - 7bc²d)

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

Answer: exponential decay

Step-by-step explanation:

Exponential decay means that it's getting smaller and you can see that the numbers are getting smaller on the y axis.

Hope this helps :)

Answer:

23.5 = (2 x 10) + (3 x 1) + (5/10)

According to the given graph, the intervals where the function increases are

Because inside these intervales the y-values increase as x-values increase.

On the other hand, the decreasing intervals are

Since y-values decrease while x-values increase.

a. The center of the circle is (-2, -1).

b. The radius of the circle is √136.

c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:

Midpoint = ((-7 + 3)/2, (-4 + 2)/2)

= (-4/2, -2/2)

= (-2, -1)

Therefore, the center of the circle is at the coordinates (-2, -1).

b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.

Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)

Using the distance formula:

Distance = √[(3 - (-7))^2 + (2 - (-4))^2]

= √\([(3 + 7)^2 + (2 + 4)^2]\)

= √\([10^2 + 6^2\)]

= √[100 + 36]

= √136

Therefore, the radius of the circle is √136.

c. The equation for a circle with center (h, k) and radius r is given by:

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

In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:

\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)

\((x + 2)^2 + (y + 1)^2 = 136\)

Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

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the decay factor for the given decay rate is 0.999

Given :

In recent years, Japan's population has been declining at a rate of 0.1% per year.

we need to find the decay factor for the given exponential rate.

The rate of decay is 0.1%. To remove percentage we divide by 100

so , \(\frac{0.1}{100}=0.001\)

The decay rate is 0.001

To find out decay factor , we subtract decay rate from 1

decay factor is 1- decay rate

Decay factor is 1-0.001=0.999

So the decay factor for the given decay rate is 0.999

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

(y - x)/(y + x)

Step-by-step explanation:

(1/x - 1/y)/(1/x + 1/y) =

= (1/x - 1/y)/(1/x + 1/y) × (xy)/(xy)

= (y - x)/(y + x)

Answer:

25%

Step-by-step explanation:

We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.

Answer:

y = 4x - 7

Step-by-step explanation:

Slope = 4 ; x1 = 2 , y1 = 1

Slope point form: y -y1 = m(x -x1)

y - 1 = 4(x - 2)

y - 1 = 4x - 2*4

y -1 = 4x - 8

   y = 4x - 8 +1

  y = 4x - 7

Answer:

Jacob's age is 42

Jasmine's age is 24

Step-by-step explanation:

Let Jacob's age be x

Let Jasmine's age be y

x + y = 66

x - 6 = 2(y - 6)

x - 6 = 2y - 12

x - 2y = -12 + 6

x - 2y = -6

x + y = 66 ------- (1)

x - 2y = -6 ------- (2)

From (1),

x = 66 - y -------- (3)

Substitute the value of x in (2)

x - 2y = -6

66 - y - 2y = -6

-3y = -6 - 66

-3y = -72

y = -72/-3

y = 24

Solve for x in (1)

x + y = 66

x + 24 = 66

x = 66 - 24 = 42

x = 42, y = 24

Answer:152.25

Step-by-step explanation:

3.5""""""""""""""""""""43.5

152.25

The 3.50 times of the 43.5 will be 152.25.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number which will be very big as compare to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

For example 2 × 9 = 18 in this the number 18 is very big as compared to 2 and 9.

A another example is 0.5 × 9 = 4.5 in this case the number 4.5 is less than 9 because of the 0.5 is less than 1.

Given that 3.50 times 43.5

3.50 × 43.5

⇒ 152.25 hence, 152.25 will be the correct option.

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Answer the same

the same line

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

avg=20m

total height= 20*4 =80

three building height =16 *3=48

4th=80-48=32

The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.

Answer:

Step-by-step explanation:

2x-6+3x+5+2x+20=180

7x=180-19=161

x=161/7=23

angles are 2×23-6,3×23+5,2×23+20

or 40,74,86

smallest angle=40°

Answer:

(2,3.5)

Step-by-step explanation:

B=(1,2)

A=(3,5)

Answer:

\(\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }\)

\(2y + 4 = 8 \\ 2y = 8 - 4 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2\)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)

Answer:

y=4/2=2

Step-by-step explanation:

Answer:

232

Step-by-step explanation:

100/25=4

58*4=232

Answer:

D. -7

Step-by-step explanation:

Since positive 7 represents a gain of seven yards, a loss would be represented by a negative number.

So, a loss of seven yards will be represented by -7.

So, the correct answer is D. -7

Answer:

-3x + y = -39

Step-by-step explanation:

If it is perpendicular to y=-1/3x+2, then the slope is positive 3. If it passes through (9, -12), then we can set up our equation:

y+12 / x-9 = 3. Simplifying, we have:

y=3x-39, which in standard form is:

-3x+y= -39

Hope this helps!

The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.

The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.

Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.

Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.

Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.

Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.

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Answer:

mooltiplication

The solution is, Multiplication is a cows favorite type of math.

Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.

here, we have,

In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.

According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.

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Answer:

 7   because i took that test :3

Step-by-step explanation:

im 1000% positive

Based on the calculations, the simplified value of the expression above is equal to: C. 7.

In Mathematics, an expression can be defined as a mathematical equation which shows the relationship between two (2) or more numerical quantities such as being equal.

In this exercise, we would simplify the given expression by solving the numerator and denominator respectively:

Numerator = 4(-8 + 4.5)

Numerator = 4(-3.5)

Numerator = -14.

For the denominator, we have:

Denominator = 6.25 + (-8.25)

Denominator = 6.25 - 8.25

Denominator = -2.

Substituting the parameters, we have;

\(\frac{4(-8+4.5)}{6.25+(-8.25)} = \frac{-14}{-2} \\\\\frac{4(-8+4.5)}{6.25+(-8.25)} =7\)

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Answer:

30

Step-by-step explanation:

5x6=30

Answer:

$400

Step-by-step explanation:

Lets money that Anthea got be 2x

than Barry's money be 5x and Carol's be x

Barry got $200 more than Carol

This means that 5x is 200 more than x

5x = x + 200

4x = 200

x = 50

The sum of money is 2x + 5x + x

so this is 8x

8x = 50 * 8 = 400