ABDE is a parallelogram.
AB=AC
B
Show that x = 38°
A
C
82°
D
68%
E
Not drawn
accurately
[3 marks]

Answer:

4 outcomes

Step-by-step explanation:

Answer:

300 per year??

Step-by-step explanation:

I'm not sure what you're trying to find...I'm guessing it's how many people it grew by per year

3000-1500 is 1500

1500/5 is 300

hope this helped

The coordinates in the solution to the systems of inequalities is (-2, 1)

From the question, we have the following parameters that can be used in our computation:

y > -x - 4

y > 2x - 6

By imagining where the shading should be, we have

From the imagined graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities is (-2, 1)

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Answer: the awnser is b

Step-by-step explanation:

The ball's height is 11 meters after approximately 6.83 seconds and 0.17 seconds.

The height of the ball after t seconds is given by the equation h = 1 + 30t - 5t^2. To find all values of t for which the ball's height is 11 meters, we need to solve the equation [tex]1 + 30t - 5t^2 = 11[/tex].

[tex]30t - 5t^2 - 10 = 0[/tex]

[tex]t^2 - 6t + 2 = 0\\\\t = (6 \pm \sqrt{6^2 - 4(1)(2)}) / 2\\\\\t = (6 \pm \sqrt{32}) / 2\\\\t = (6 \pm 4\sqrt2 / 2\\\\t = 3 \pm 2\sqrt2[/tex]

Therefore, the values of t for which the ball's height is 11 meters are approximately 6.83 seconds and 0.17 seconds.

Rounding to the nearest hundredth, we get:

t ≈ 6.83 or t ≈ 0.17

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Answer:

Step-by-step explanation:

There are many expressions that could have an answer of 14, but here’s one example:

(7 x 2) - 1 = 14

Let’s break it down step by step:

The first operation in this expression is multiplication. We multiply 7 by 2, which gives us 14.

7 x 2 = 14

The second operation in this expression is subtraction. We subtract 1 from the result of our multiplication, which gives us 14.

14 - 1 = 14

So, the final expression is (7 x 2) - 1 = 14, which has an answer of 14.

Keep in mind that there are many other expressions that could have an answer of 14 as well. This is just one example!

Answer:

(49÷7)2=14

(2×3.5)2=14

Step-by-step explanation:

I honestly don't know of this is exactly what our asking for but here are two equations that are equal to 14, hope this helps

The Length of the ant to inches before we can compare the two lengths. We do this by dividing the numerator (3) by the denominator (32), which gives us a decimal of approximately 0.09375 inches.

To find how many times greater the length of the green anole lizard is compared to the crazy ant, we need to divide the length of the lizard by the length of the ant:

Length of lizard / Length of ant = 6 / (3/32) = 6 * (32/3) = 64

Therefore, the length of the green anole lizard is 64 times greater than the length of the crazy ant.

The correct answer is (D) 64.

It is important to pay attention to the units when working with ratios and proportions. In this case, the length of the lizard is given in inches, while the length of the ant is given in fractions of an inch. We need to convert the length of the ant to inches before we can compare the two lengths. We do this by dividing the numerator (3) by the denominator (32), which gives us a decimal of approximately 0.09375 inches.

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To solve for f, we can rearrange the equation:

1975f = t1758 + Q2

First, we can isolate f by dividing both sides of the equation by 1975:

f = (t1758 + Q2) / 1975

So the final answer is:

f = (t1758 + Q2) / 1975

Human actions and behaviors towards our surroundings can have significant implications for human health, leading to the emergence of various health problems.

Our choices and activities encompassing lifestyle, pollution, and resource utilization exert direct impacts on our overall well-being. For instance, our exposure to environmental pollutants, encompassing air and water contaminants, toxic substances, and hazardous waste, can engender respiratory ailments, cancer, and an array of severe health conditions.

Similarly, the degradation of natural habitats, deforestation, and unsustainable practices contribute to the proliferation of infectious diseases, disrupt ecological balance, and undermine the stability of our food systems.

Moreover, unhealthy dietary patterns, sedentary behaviors, and limited access to healthcare services compound the complexities of prevailing health issues.

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Answer: 1.4 pi, and pi/180

Step-by-step explanation:

b)

this is a negative angle; It is also less than 0.5pi, (pi/2, which is the border of the first quadrant). therefore the reference angle is just the positive version:

so 1.4pi is the reference angle

c)

pi/180 is already in the first quadrant. so pi/180 would be the reference angle.

Answer:

15

if you count the length and breadth with the height and multiply them it'll give you 15

Step-by-step explanation:

Answer and Explanation:

The set contains 13 elements here, so the total number of subsets can be calculated as 213=8192 2 13 = 8192 .

Answer: 2(x − 6)(x − 3) is the answer

Step-by-step explanation:

Answer: 23.80

Step-by-step explanation:

[tex]\sqrt{19^2+18^2-2*19*18cos(80)}[/tex]

Answer:

[tex]20x+240y/y[/tex]

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

The sentence given in the question does not include a participial phrase. Hence, correct option is False

The sentence "The picture frame held a picture of our family on vacation" does not include a participial phrase.

A participial phrase is a phrase that acts as an adjective. In this sentence, the phrase "on vacation" is an adjective phrase that describes the noun "family." However, it is not a participial phrase because it is not formed from a verb.

A participle is a verb form that can be used as an adjective. In this sentence, the verb "hold" is not used as an adjective.

Therefore, the phrase "on vacation" is not a participial phrase.

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The solution is, simplification of the expression is; 71.19.

Here, we have,

the given expression is:

(5/2)^4/2 * (3/2)^6

=(5/2)^2 * (3/2)^6

as we know that, 4/2 = 2.

now, we have,

(5/2)^2 * (3/2)^6

=5²/2² ^ 3⁶/2⁶

= 5² * 3⁶ / 2² * 2⁶

=5² * 3⁶  / 2 ^ (2+6)

=5² * 3⁶  / 2 ^8

=25 * 729/ 256

=18225/ 256

=71.19

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a) The first mistake that Fatima made was in the first step.

b) She incorrectly changed the place value of 0.02 in the subtraction operation.

c) Based on the correct subtraction operation and place value in step one, Fatima has 0.395 kilograms of rose petals left.

The place value shows the position of a digit in a number.

The right place values are essential for correct mathematical operations.

The quantity of rose petals that Fatima bought initially = 0.454 kilograms

The quantity of rose petals used for making rose water = 0.02 kilograms

The remaining quantity of rose petals = 0.434 (0.454 - 0.02)

The additional quantity of rose petals Fatima bought = 0.056

The quantity of rose petals used for making the second rose water = 0.095

The quantity of rose petals left = 0.395 (0.434 + 0.056 - 0.095)

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Answer:

332.88

Step-by-step explanation:

To find the median of this data set, we first need to determine the total number of observations. This is given by the last cumulative frequency, which is 189.

Since the total number of observations is an odd number, we can find the median by identifying the middle value. The middle value is the observation that has half the data below it and half the data above it.

To find this value, we can divide the total number of observations by 2:

189 ÷ 2 = 94.5

This means that the median observation falls in the 330-339 range, since the cumulative frequency at the end of this range is 38, which is the smallest cumulative frequency greater than 94.5.

To find the exact median value, we can use the following formula:

Median = L + ((N/2 - CF) / f)

where:

L = lower limit of the median class (in this case, 330)

N = total number of observations (in this case, 189)

CF = cumulative frequency of the class preceding the median class (in this case, 20)

f = frequency of the median class (in this case, 24)

Plugging in the values, we get:

Median = 330 + ((94.5 - 20) / 24)

= 330 + (74.5 / 24)

≈ 332.88

Therefore, the median of the given scores is approximately 332.88.

The width of the confidence interval is 1.2786.

From the question we are told that

The sample size is n = 16    

The mean time is x = 2.8 minutes

The standard deviation is = 1.2 minutes

Generally, the degree of freedom is mathematically represented as  

df = n-1

df = 15

From the question we are told the confidence level is 95%, hence the level of significance is =

α = 100-95

α = 0.05

Generally, the margin of error is mathematically represented as =

[tex]E = t_{\alpha/2}, 15 \times \sigma/\sqrt{n}[/tex]

E = 2.131 × 1.6 / √16

E = 0.6393

Generally, the width the confidence 95% confidence interval  

W = 2E

W = 1.2786

Hence the width of the confidence interval is 1.2786.

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Answer:

I'd like to explain more but I have limited comment

chat me up

A

After considering the given data we conclude that the value of the sub question are
A) 16
B) 50
C) 5
D) 7
E) 7
F) 15
G) 2
H) 6
I) 15
J) -15
And the marking the true and false
a) true
b) false
c)true
d) true
e) false

The number properties rule is a set of rules that help you solve mathematical equations. The rule is also known as the order of operations. The acronym PEMDAS is used to remember the order of operations. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right) ¹².

Let's solve the equations using the number properties rule:

A) 5 + 16 = 16 + __

We can solve this equation by subtracting 16 from both sides of the equation.

5 + 16 - 16 = 16 + __ - 16

5 = 16

The equation is not true.

B) 450 + ___ = 50 + 450

We can solve this equation by subtracting 450 from both sides of the equation.

450 + ___ - 450 = 50 + 450 - 450

___ = 50

The answer is 50.

C) 2 + ( 3 + 5 ) = ( 2 + 3 ) + _____

We can solve this equation by simplifying the parentheses first.

2 + (3 + 5) = (2 + 3) + _____

2 + 8 = 5 + _____

10 = 5 + _____

We can solve this equation by subtracting 5 from both sides of the equation.

10 - 5 = 5 - 5

5 = _____

The answer is 5

D) (7 + 4) + 6 = ___+ (4+6)

We can solve this equation by simplifying the parentheses first.

(7 + 4) + 6 = ___+ (4+6)

11 + 6 = ___+ 10

17 = ___+ 10

We can solve this equation by subtracting 10 from both sides of the equation.

17 - 10 = ___+ 10 - 10

7 = ___

The answer is 7

E) 7 + 0 = ________

The answer is 7

F) 15 – 0 = _______

The answer is 15

G) (12 – 8 ) – 2 = _______

We can solve this equation by simplifying the parentheses first.

(12 – 8 ) – 2 = _______

4 - 2 = _______

2 = _______

The answer is 2

H) 12 – (8 – 2 ) = _________

We can solve this equation by simplifying the parentheses first.

12 – (8 – 2) = _________

12 - 6= _________

6= _________

The answer is 6.

I)20 – 5= _____

20 - 5= _____

15= _____

The answer is 15.

J)5 –20= _______

5 - 20= _______

-15= _______

The answer is -15.

Mark as true or false.

a)16+4=4+16 ______________

True

b)15–5=5–15 ______________

False

c)(3+4)+5=3+(4+5) ______________

True

d)(12–4)–2=12–(4–2) ______________

True

e)(10-5)+5=10–(5+5) ______________

False
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Answer:

[tex]f(x) = (x - 4)(x + 3) [/tex]

[tex]f(x) = {x}^{2} - x - 12[/tex]

The perimeter of the field is 4x + 6/(x + 1)(x - 1).

Given that a field has a width of 5/x²-1 and the length is 2/x+1,

We need to find the perimeter,

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle,

Perimeter of a rectangle = 2(l+w)

= 2(5/x²-1+2/x+1)

= 2((2(x-1)+5)/(x + 1)(x - 1)

= 4x + 6/(x + 1)(x - 1)

Hence the perimeter of the field is 4x + 6/(x + 1)(x - 1).

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Pick the first option.

f(x) is dependent on x.

the 2nd option is wrong; the dependent variable is the output, the independent variable is the input.

3rd option is wrong, dependent determines the range.

4th is wrong, x is independent variable.

Answer:Set up a proportion, letting = the amount of cubic millimeters in 1,000 cubic centimeters. Solve for : 1,000,000 cubic millimeters are in 1,000 cubic centimeters.

The trend line that best fits the data in this problem is given by the following option:

Option D.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Hence the graph of the line of best fit should have the smallest possible residual values, meaning that the points on the scatter plot are the closest possible to the line.

As option D has the points the closest to the line, it is the correct option in the context of this problem.

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The temperature difference between the optimum temperatures of bacteria X and Y is 25°C.

To find the temperature difference between the optimum temperatures of bacteria X and Y, we subtract the temperature of bacteria Y from the temperature of bacteria X.

Temperature difference = Optimum temperature of bacteria X - Optimum temperature of bacteria Y

Temperature difference = -31°C - (-56°C)

When we subtract a negative number, it is equivalent to adding its positive value. Therefore, -(-56°C) is the same as +56°C.

Temperature difference = -31°C + 56°C

To add these temperatures, we need to consider the sign of the result. In this case, we have a negative temperature (-31°C) and a positive temperature (+56°C). When adding numbers with different signs, we subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.

Absolute value of -31°C = 31°C

Absolute value of +56°C = 56°C

Since 56°C > 31°C, the result will have a positive sign.

Temperature difference = 56°C - 31°C = 25°C

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[tex]\huge\mathcal{\fcolorbox{Aqua}{azure}{\red{➳Answer}}}[/tex]

Base of the Parallelogram=14m

Height of the Parallelogram=8m

∴ Are of the Parallelogram= Base × height

= (14×8) sq. m

=112 sq.m

Now,

Diameter of the circle (unshaded portion)=8m

Radius of the circle= Diameter/2 =8/2 m= 4m

So, radius=4m

∴ Area of the circle = πr²

=(22/7 × 4 × 4)sq.m

=352/7 sq.m

=50.2857 sq.m

=50.286 sq.m

∴ Are of the Unshaded portion= Are of the Parallelogram - Area of the circle

=(112-50.286) sq.m

= 61.714 sq.m (Ans)

∴The area of the shaded portion is 61.714 sq.m

Hope it helps you

[tex]\red{\rule{200pt}{5pt}}[/tex]

[tex]\bold{Thank ~you~:)}[/tex]

___________________________________

Given:-

Base of the Parallelogram=14m

Height of the Parallelogram=8m

∴ Are of the Parallelogram= Base × height

= (14×8) sq. m

=112 sq.m

Now,

Diameter of the circle (unshaded portion)=8m

Radius of the circle= Diameter/2 =8/2 m= 4m

So, radius=4m

∴ Area of the circle = πr²

=(22/7 × 4 × 4)sq.m

=352/7 sq.m

=50.2857 sq.m

=50.286 sq.m

∴ Are of the Unshaded portion= Are of the Parallelogram - Area of the circle

=(112-50.286) sq.m

= 61.714 sq.m (Ans)

∴The area of the shaded portion is 61.714 sq.m

___________________________________

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Answer:

The exact volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula:

[tex]\boxed{V = \pi r^2 h}[/tex]

where:

Given values:

Substitute the given values into the formula and solve for V:

[tex]\begin{aligned} \implies V&=\sf \pi \cdot 3^2 \cdot 8\\&=\sf \pi \cdot 9 \cdot 8\\&=\sf 72\pi \;cm^3\\&= \sf 226.19\; cm^3\;(2\;d.p.)\end{aligned}[/tex]

Therefore, the volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.