Simplify the following: (8x + 2) - 6(3x - 7) - 3(x +5)

Answer:

the first

Step-by-step explanation:

becasue you have -4 and it drops by 5 each hour so your timing it by 5 so 5h then sinv=ce it drops its -5h.

Answer:

The answer should be B

Step-by-step explanation:

Answer:

g(x) = -2^(x-3) - 5

Step-by-step explanation:

f(x) = 2^x

3 units to the right:

2^x ----> 2^(x-3)

Moved 5 units up:

2^(x-3) ----> 2^(x-3) + 5

Reflected across the x-axis:

2^(x-3) + 5  -----> -2^(x-3) - 5

Considering the test statistic for the chi-square distribution, the correct option regarding the p-value of the test is as follows:

p-value>0.25

It is found using a calculator, given two parameters, the test statistic and the number of degrees of freedom.

In this problem, the parameters are as follows:

Using a chi-square calculator, the p-value is of 1, hence the correct option is:

p-value>0.25

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\( \sf \: 7 \sqrt{3} + 8 \sqrt{3} \\ = \sf (7 + 8) \sqrt{3} \\ \sf = 15 \sqrt{3} \)

\(\sf \: \sqrt{2} +5 \sqrt{2} \\ = \sf (1 + 5) \sqrt{2} \\ \sf = 6 \sqrt{2} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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The value of x is 3 and  -3 respectively.

Given that;

From equation (1)

4x+60 < 72  

First, collect like terms

4x < 72 - 60

subtract like terms

4x < 12

Make 'x' the subject

x < 12/ 4

x < 3

For equation (2)

14x +11 <-31

collect like terms

14x < -31 - 11

14x < -42

Make 'x' the subject

x < -42/ 14

x < -3

Thus. the value of x is 3 and  -3 respectively.

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Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

The amount of containers to assemble a robot illustrates proportions

Max can make 24 robots with the amount of glue he has

The given parameters can be represented using the following ratio/proportion

Ratio = Containers : Robots

So, we have:

Containers 1 : Robots 1 = Containers 2 : Robots 2

The ratio becomes

1/6 : 1 = 4 : Robots

Express as fraction

1/6 = 4/Robots

Rewrite as:

Robot/4 = 6/1

Multiply both sides by 4

Robots = 24

Hence, he can make 24 robots with the amount of glue he has

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8 possible sequences in total. Thus, A tree with 8 outcomes, option 1 is correct.

A diagram with a structure of branching connecting lines, representing different processes and relationships.

Here is a tree diagram showing all the possible outcomes of Sandra tossing a coin three times:

In the diagram, each branch represents the outcome of one toss of the coin. The letters "H" and "T" represent "heads" and "tails," respectively. Each path from the top of the tree to a bottom node represents a possible sequence of coin tosses, and there are 2³ = 8 possible sequences in total.

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Complete question:

Sandra tossed a coin 3 times. Which tree diagram shows al the possible outcomes of the coin landing heads up or tails up.

A tree with 8 outcomes

A tree with 12 outcomes

A tree with 9 outcomes

A tree with 6 outcomes

Answer:

10

Step-by-step explanation:

Using the profit concept, it is found that the number of days that will take for the company to earn a profit is given by:

In this problem:

Hence, the profit function is:

\(p(x) = R(x) - c(x)\)

\(p(x) = -x^2 + 5x + 22 - (2x^2 - 20x + 70)\)

\(p(x) = -3x^2 + 25x - 48\)

Using a graphing calculator, it is found that the profit is positive after 3 days, hence, option iii is correct.

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The volume of the rectangular pyramid is 900 cubic yards.

The standard formula of the volume of the rectangular pyramid is written as

V = 1/3s²h

where s refers the base edge and h refers the height.

Here we have given that the square base has side lengths 15 yards and the height is 12 yards.

Now, we have to find the volume of the rectangular pyramid

As we know the the value of base edge is 15 yard and the height is 12 yards.

Now, we have to apply the values on the formula then we get,

=> V = 1/3 x 15² x 12

It can be simplified as,

=> V = 4 x 225

When we do the appropriate arithmetic operation, then we get,

=> V = 900 cubic yard.

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The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer: x=0

Step-by-step explanation:

\(x=4+(4x-4)\\\\x=4+4x-4\\\\x=4x\\\\3x=0\\\\\boxed{x=0}\)

The solution to the equation x = 4 + (x + 4) is 0.

The correct option is "one real solution".

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Expanding the expression on the right-hand side, we have:

x = 4 + (4x - 4)

x = 4x

Subtracting 4x from both sides, we get:

x - 4x = 0

-3x = 0

Dividing both sides by -3, we get:

x = 0

Therefore, there is one solution to the equation x = 4 + (4x - 4) as the equation simplifies to 0.

So the correct answer is 0, "one real solution".

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A) sample proportion = 0.17,  the sampling distribution of p can be calculated/approximated with normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281 (B) 0.869   (C)0.9668

In statistics, a sampling distribution or finite-sample distribution is the probability distribution of a given random-sample-based statistic

A) p ( proportion of population that spends more than $100 per week) = 0.17

sample size (n)= 800

the sample proportion of p = 0.17

Standard error of p = √[p(1-p)]/n  = 0.013281

The sampling distribution of p can be calculated/approximated with

Normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z =  (P-p)/standard deviation

at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 = = -1.51

Z =  (P-p)/(standard deviation) at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

Therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

= 0.9345 - 0.0655 = 0.869

C) for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

therefore the required probability after applying

z = (P-p)/standard deviation  at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

= 0.9834 - 0.0166 = 0.9668

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Answer:

(RUS)={ a,c,d,ef,g}

Step-by-step explanation:

All the number of alphabets present in R and S will be the union of set R and S

Answer:

Step-by-step explanation:

1. Yes

2.No

3. No

4. No

To be a function, the x axis can only be used once so it will pass the vertical line test.

Answer:

10

Step-by-step explanation:

x=6, so 6+4=10

Answer:

10

Step-by-step explanation:

so if x is 6 then it would be 6+4=10

Answer:

A

Step-by-step explanation:

An equation is a mathematical expression that establishes the equivalence between two quantities. This equivalence is expressed by usiing the symbol =. If this symbol is not present, the, there is no an equation.

Thus, from the given option you have:

(2) 7x + 2 is not an equation

Step-by-step explanation:

d=2r.

50=2r

r=50/2

r=25cm.

circumference of circle =2πr

=2×22/7×25

=157cm(approx)

area of circle=πr²

=22/7×(25)²

=704cm

Answer: I could be wrong but it's probably 3.

Step-by-step explanation: Once there's x in the 3 sides of angles you subtract. 73 minus 3 = 3 degrees. If I'm wrong sorry about that. I will try to improve. :)

Answer:

37°

Step-by-step explanation:

70°+73°+x°=180°

143°+x°=180°

x°=180°-143°

x°=37°

The set of points on this graph is a relation but not a function

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, we have the data as:

(2,5), (1,2), (3,4), (3, 1), (6,5) and  (5,3)

We can say that it is a relation as for every input, there is an output.

But, it is not a function.

This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.

Therefore, the set of points on this graph is a relation but not a function.

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