9. Why do some savanna plants flower for only part of the year?

A. To limit pollination
C. To produce a bad-tasting chemical
B. To attract animals like antelope and zebras
D. To save water and energy

According to the data, it can be inferred that Lin is faster than Andre because she is going at 0.3 km/min speed while he is going at 0.25 km/min speed.

To calculate who goes faster we must divide the time into the distance traveled by each character as shown below:

According to the above, the point K of each would be equal to the distance that each of them travels in one minute. As shown in the graph, after 5min (Lin) and 8min (Andre), each one reaches their respective destination located 1.5km and 2km away, respectively, taking the point (0,0) as the starting point.

The graph is attached.

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Justin rode his bicycle in a day = 2.4 miles

Justin ride altogether during the 20-days = ?

? = 2.4 × 20

? = 48

Therefore, Justin ride altogether during the 20-days stretch is 48 miles.

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Company A:

Total product = 70

Software product = 40

Hardware product = 30

Company B:

Total product = 50

Software product = y

Hardware product = x

The probability that the selected product is a hardware product given that is from company B.

= x/50 ____(1)

The probability that the selected product is a hardware product given that is from company A.

= 30/70

= 3/7 _____(2)

From (1 ) and (2) we get,

x/50 > 3/7

x > 3/7 x 50

x > 21

Thus,

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

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Answer:

Step-by-step explanation:

Given: A polynomial

Required: To determine the zeroes of the polynomial.

Explanation: To solve a cubic equation, we need to determine three zeroes of the equation.

We will use the hit and trial method to determine the first zero(s).

From the factors of 30, we have the following factors, which can be a zero of the equation-

We can see that for x=-5, P(x)=0, indicating that our first zero is x=-5.

Since x=-5 is a zero of the polynomial, then x+5 is a factor of the polynomial (By factor theorem).

Hence we can divide the polynomial by x+5 to reduce it to a quadratic equation as follows-

Hence, the polynomial is reduced to-

Now to find the zeroes, we put P(x)=0,

We will use the quadratic formula to find the roots of the quadratic equation-

Final Answer: Zeroes of the polynomial are

The area of a circle to derive the formula for the area of a sector will be (θ/2π) x (area of the circle).

Let r be the radius of the circle. Then the area of the circle will be

Area = πr²

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be

Area = (θ/2π) πr²

Area = (θ/2π) x (area of the circle)

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Answer:

1: 107°

2: 73°

Line b and a is same. So, straight line is 180°. hence, 180-107=73

Answer:

re send it

Step-by-step explanation:

ty

Answer:

12i

Step-by-step explanation:

Step 1: Write it out

√-144

Step 2: Factor

√144(√-1)

Step 3: Evaluate

12i

Answer:

87.5%

Step-by-step explanation:

Total parts = 8

Part 6 = 1

Parts not 6 = 7

P(not 6) = 7/8

In %age:

=> 87.5%

Answer:

87.5%

Step-by-step explanation:

The numbers not 6 on the spinner are 2, 3, 4, 5, 7, 8, and 9.

7 numbers out of 8 are not 6.

7/8 = 0.875

P(not 6) = 87.5%

Answer:

The answer should be A.

Step-by-step explanation:

A function has a global (or absolute) maximum point at x * if f(x∗)≥f(x) f ( x ∗ ) ≥ f ( x ) for all x.

Answer: it is a function function has a global (or absolute) maximum point at x

Step-by-step explanation: x * f(x∗)≥f(x) f ( x ∗ ) ≥ f ( x ) for all of the x. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

14

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

\(x=-3+2cos\theta,\:y=5+2sin\theta\\\\x+3=2cos\theta,\: y-5=2sin\theta\\\\(x+3)^2=4cos^2\theta,\: (y-5)^2=4sin^2\theta\\\\(x+3)^2+(y-5)^2=4cos^2\theta+4sin^2\theta\\\\(x+3)^2+(y-5)^2=4(cos^2\theta+sin^2\theta)\\\\(x+3)^2+(y-5)^2=4(1)\\\\(x+3)^2+(y-5)^2=4\)

Thus, the first option is correct. Trying all the other options will not get you the desired rectangular equation.

Problem 2

\(x=3-6cos\theta,\: y=-2+3sin\theta\\\\x-3=-6cos\theta,\: y+2=3sin\theta\\\\\frac{x-3}{-6}=cos\theta,\: \frac{y+2}{3}=sin\theta\\ \\ \frac{(x-3)^2}{36}=cos^2\theta,\: \frac{(y+2)^2}{9}=sin^2\theta\\ \\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=cos^2\theta+sin^2\theta\\\\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=1\)

Therefore, the first option is correct. This equation is in the form of an ellipse with a horizontal major axis length of 12 (half is 6) and a vertical minor axis length of 6 (half is 3), with its center at (3,-2).

Problem 3

Not sure which equation needs to be used for this problem

Problem 4

\(x=-7cos\theta ,\:y=5sin\theta\\\\-\frac{x}{7}=cos\theta,\: \frac{y}{5}=sin\theta\\ \\ \frac{x^2}{49}=cos^2\theta,\: \frac{y^2}{25}=sin^2\theta\\ \\\frac{x^2}{49}+\frac{y^2}{25}=cos^2\theta+sin^2\theta\\ \\ \frac{x^2}{49}+\frac{y^2}{25}=1\)

This equation is in the form of an ellipse with a horizontal major axis length of 14 (half is 7) and a vertical minor axis length of 10 (half is 5). See attached graph.

Problem 5

Eliminate the parameter:

\(x=-t^2-2,\:y=-t^3+4t\\\\x+2=-t^2\\\\-x-2=t^2\\\\\pm\sqrt{-x-2}=t\\\\y=-t^3+4t\\\\y=-(\pm\sqrt{-x-2})^3+4(\pm\sqrt{-x-2})\)

Attached below is the graph of the curve, which corresponds with the first option.

As we can see in the graphic when we are going more to the left the negative number increase

the point that is closer to the -0.1 is the point C that is located in -0.095.

The correct answer is point C.

Answer:

100*

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

x = 60+40

x = 100

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

point (-2,-3) x1 = -2 y1 = -3

x + 3y = 24

Step 02:

m' = - 1 / m ---> slope of the perpendicular line

3y = - x + 24

y = (- x + 24) / 3

Point-slope form of the line

(y - y1) = m (x - x1)

( y - (-3)) = 3 (x - (-2))

y +3 = 3 (x + 2)

y = 3x + 6 -3

y = 3x +3

The solution is:

The perpendicular line equation is:

y = 3x +3

The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:

y = a + bx

where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.

From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.

Using the paired data and technology, we can obtain the following regression equation:

height = 34.774 + 1.4966 (foot length)

Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:

height = 34.774 + 1.4966 (20.4)

height = 65.83 cm

Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.

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Answer:

Below

Step-by-step explanation:

a) the empirical rule would say that these rents are +- 1 SD from the mean....this area encompasses  + -  34.1%   or 68.2 %  (see image)

b) this is one S.D. below the mean which would be 50% - 34.1 % = 15.9% are below 1340

c) from graph: this is two S.D. ABOVE the mean and would include 2.2% are more than 2030

NOTE:  What YOU have been taught might have slightly different numbers for the 'empiracal rule' ....like 34%   rather than   34.1 %    etc.....you will have to apply what you have been given and expected to use.....I do not have that information !

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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The dot isn’t shaded so > or <

From -55, it’s showing small than

From -49, it’s showing greater than

x < -55 or x > -49

Answer:  x < -55 or x > -49

Step-by-step explanation:

x < -55 or x > -49

They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.

Answer:

FV= $160.68

Step-by-step explanation:

Giving the following information:

Initial investment= $150

Interest rate= 3.5% compounded annually

Number of periods= 2

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

PV= present value

i= interest rate

n= number of periods

FV= 150*(1.035^2)

FV= $160.68

Step-by-step explanation:

\( \bf \underline{Given-} \\ \)

\( \sf{4 \frac{1}{6} \div \frac{5}{12} } \\ \)

\( \bf \underline{To \: find-} \\ \)

\(\textsf{divisible form = ?}\\\)

\( \bf \underline{Solution-} \\ \)

\(\textsf{Given fractional expression,}\\\)

\( \sf{4 \frac{1}{6} \div \frac{5}{12} } \\ \)

\( \Rightarrow \sf{ \: \frac{25}{6} \div \frac{5}{12} } \\ \)

\( \Rightarrow \sf{ \: \frac{25}{6} \times { \frac{12}{ 5} }} \\ \)

\(\textsf{★Now, here in denominator in left side 6 will cancel the numerator 12 in right side.}\\\)

\(\textsf{★Again,in denominator in right side 5 will cancel the numerator 25 in right side.}\\\)

\(\textsf{Now, we have}\\\)

\(\Rightarrow \sf{ \:5 \times 2} \\ \)

\(\Rightarrow \sf{ \:10}\)

\( \bf \underline{Answer-} \\ \)

\( \sf{hence \: the \: divisible \: form \: of \: : \sf{4 \frac{1}{6} \div \frac{5}{12} } \: is \: 10. } \\ \)

\(\textsf{Hope this helps!!}\\\)

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

35.5 kilograms

Step-by-step explanation:

An average human's brain is 1.5 kilograms.

1.5 + 34 = 35.5

Answer:

x=143

Step-by-step explanation:

scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143

Answer:

ayyy im on de same ?

Step-by-step explanation:

ayyyyyy!