Let f(x)=10x. Which function represents a transformation of f(x) by a vertical stretch with factor 1.25? g(x)=101.25x g(x)=0.8⋅10x g(x)=1.25⋅10x g(x)=100.8x

Answer:

correct answer is in the picture attached

Answer:

f(1) = 7

f(4) = -2

Step-by-step explanation:

f(x) = -x² + 2x + 6

Put x = 1

f(1) = -(1)² + 2(1) + 6

f(1) = -1 + 2 + 6

f(1) = 1 + 6

f(1) = 7

Now, Put x = 4

f(4) = -(4)^2 + 2(4) + 6

f(4) = -16 + 8 + 6

f(4) = -16 + 14

f(4) = -2

By comparing the two values, we get to know that f(1) is positive while f(4) is negative.

\(\rule[225]{225}{2}\)

Hope this helped!

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

25/2

Step-by-step explanation:

Use order of operations to solve in the bracket.

2x + 20 - ( 5X3) = 30

2x + 20 - (15) = 30

Now open the brackets.

2x + 20 - 15 = 30

2x + 5 = 30

Subtract both sides by 5

2x = 25

Divide both sides by 2.

25/2

Answer:

Step-by-step explanation:

B because after having the star and the circle comes the square.

Answer:

2,538 apples and 19,458 lemons.

Step-by-step explanation:

1 person gets 6 apples and 48 lemons. Now there are different ways of solving this. One is using a calculator and/or multiplication. If 423 people get 6 apples each, we need to get the total by multipling.

423*6=2538 apples.

Now lets do the same thing with the lemons.

423*46=19458 lemons.

There would be a total of 2,538 apples and 19,458 lemons for 423 people.

Answer:

Where is the graph???

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

36 x 9 = 324

4+2=6

324^6

=324*324*324*324*324*324

=1156831381426176

the rate of change of the angle of elevation teta is  ∅ = tan⁻¹ 2.1275

Angle of Elevation is an equation used in math to describe the angle formed between the horizontal line and the line of sight when an observer looks upwards. It is always at a height that is greater than the height of the observer

Using ∅ = tan⁻¹ (x/2000)

Then we are to find the angle teta

Where x = 4255 ( substitution)

∅ = tan⁻¹ (4255/2000)

∅ = tan⁻¹ 2.1275

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Answer:

your answer will be option 2

None of the choices are correct.

Step-by-step explanation:

have a nice day and good luck!!!

Answer

Step-by-step explanation:

so, this triangle is an "impossible' triangle, b/c  even when the 5 and 4 sides are laid out, in opposite directions, they only make a distance of 9. so the side of 12 is not ever going to work in this triangle, it's just too long.  so the answer is none of the choices are correct.  To be fair, this question is incorrect.  The picture that is drawn, makes it look like the triangle could be real. when it's not.  like an Escher drawing. if  you don't know Escher drawings look  them up                                                                                        

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

The correct option is the Measurement and Comparison strand.

When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.

The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.

The missing parameters of the regular polygons are listed below:

Case 1: θ = 45°, a = 10.864 cm

Case 2: θ = 72°, s = 5.812 cm

In this problem we must determine missing parameters of regular polygons, that is, polygons with sides of equal length. All parameters are summarized below:

Central angle

θ = 360 / n

Relationship between apothema and side length

a = s / [2 · tan (180 / n)]

Where:

Now we proceed to find missing parameters:

Case 1: s = 9 cm, n = 8

θ = 360 / 8

θ = 45°

a = (9 cm) / [2 · tan (180 / 8)]

a = 10.864 cm

Case 2: a = 8 cm, n = 5

θ = 360 / 5

θ = 72°

s = 2 · a · tan (180 / n)

s = 2 · (8 cm) · tan (180 / 5)

s = 5.812 cm

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Answer:

Step-by-step explanation:

Answer:

16 for the first one. each segment is 4

40 for the second. each segment is 8

Answer:

0, 4, 8, 12, 16

8, 16, 24, 32, 40, 48

Step-by-step explanation:

The first number line has 6 parts. 24÷6=4. Each vertical line will increase by 4.

So starting at 0, the parts of the number line are:

0, 4, 8, 12, 16, 20, 24

The specific part being asked for is 0, 4, 8, 12, 16

The second number line has 8 parts. 64÷8=8. Each vertical line will increase by 8.

Starting at 0, the parts of the number line are:

0, 8, 16, 24, 32, 40, 48, 56, 64

The specific part being asked for is 8, 16, 24, 32, 40, 48

Answer:

.67

Step-by-step explanation:

When it comes to rounding anything 4 or below you round down. anything 5-9 you round up. For example: 4.56 would round up to 4.6 because 6 is more than 4. and 6.21 would round down to 6.2....

Answer:

U=-23

Step-by-step explanation:

-713=13u

-713/13=-23

Answer:

Step-by-step explanation:

Since the interest is simple interest, the interest earned each year is calculated as a percentage of the initial deposit. After 1 year, the amount of interest earned would be:

$575 x 5.5% = $31.63

Therefore, the balance in the account after 1 year would be:

$575 + $31.63 = $606.63

After 2 years, the interest earned would again be:

$575 x 5.5% = $31.63

So the balance in the account after 2 years would be:

$606.63 + $31.63 = $638.26

We can repeat this process for each year up to 212 years. However, since the interest rate is the same every year, we can simplify the calculation by multiplying the initial deposit by (1 + 0.055n), where n is the number of years. Therefore, the balance after 212 years would be:

$575 x (1 + 0.055 x 212) = $136,396.00

Rounding to the nearest cent, the balance after 212 years would be $136,396.00.

Given the general rule for the division of fractions:

Then, in this case we have the following:

therefore, only the second and the last options are less than 1

Answer:

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

y = 30 + 30x

y = 30 + 30(6)

y = 210

y = 35x

y = 35(6)

y = 210

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SOLUTION:

Step 1:

In this question, we are given the following:

it was found that 20% of Americans did not have health insurance. Suppose you select 15

random Americans from 2001 to find out if they have health insurance.

Answer:

i think adding heat to reaction will change the rate of the reaction

Answer:

First side is 9, second side is 3 and third side is 7

Step-by-step explanation:

because first is 3 times the second and the third is 4 feet more than the second

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Re-writing question 5:

5. Determine if the statement below is true or false. If it is false, rewrite it so it is true. Rewriting √-10 in terms of i results in −10i.

A. This statement is true.

B. This statement is false. Rewriting √-10 in terms of i results in (√10)i.

C. This statement is false. Rewriting √-10 in terms of i results in −10√i.

D. This statement is false. Rewriting √-10 in terms of i results in 10√i.

Answer:

1) C. an imaginary number

2) A. In order for a + bi to be a complex number, b must be nonzero

3) 4

4) -6

5) B. The statement is false. Rewriting √-10 in terms of i results in (√10)i

Step-by-step explanation:

1. When a number can be expressed in the form a+bi where a and b are real numbers, then the number is said to be a complex number.

For example, the following are complex numbers where i = √-1 ;

i. 3 + 5i

ii. 4 - 7i

iii. -3 - 9i

Well, even real numbers are a subset of complex numbers. For example,

=> 5 can be written as 5 + 0i

=> -12 can be written as -12 + 0i

-- But when a and b are non-zero real numbers or at least b is a non-zero real number, then the number is said to be an imaginary number.

-- If a is zero, then the number is a purely imaginary number

-- If b is zero, then the number is a purely real number

2. For a number to be called a complex number;

i. it can be written in the form a + bi where a and b are real numbers,

ii. either a or b, or both, may be zero,

iii. a is the real part of the complex number,

iv. b is the imaginary part of the complex number.

v. it could also be a real number since every real number is also a complex number.

3. Given 4 - 5i

The real part is 4

and the imaginary part is -5

4. Given 7 - 6i

The real part is 7

and the imaginary part is -6

5. Rewrite √-10 in terms of i

Remember that i = √-1

Therefore,

√-10 = √(-1 x 10) = √-1 x √10

=> √-10 = √-1 x √10

=> √-10 = i x √10

=> √-10  = (√10)i

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.

Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:

P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)

where:

Step1

Calculate the probability of rolling a seven on an 8-sided die (p).

Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),

p = 1/8.

Step 2

Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:

P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)

On subtracting gives:

=C(10,  3) * (1/8)^3 * (7/8)^{7}

Plugging the value of C(10,3) = 120 in the above equation:

= 120 * (1/8)^3 * (7/8)^{7}

Step 3:

Calculate the final answer using the formula:

P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)

≈ 0.0142

Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.

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Answer:

Step-by-step explanation:

number of committees=9C4×30C2

=(9×8×7×6)/(4×3×2×1)×(30×29)/(2×1)

=63×30×29

=54810

Answer:

G

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Simplifying the radicals in the expression

\(\sqrt{52}\)

= \(\sqrt{4(13)}\)

= \(\sqrt{4}\) × \(\sqrt{13}\)

= 2\(\sqrt{13}\)

------------------

\(\sqrt{117}\)

= \(\sqrt{9(13)}\)

= \(\sqrt{9}\) × \(\sqrt{13}\)

= 3\(\sqrt{13}\)

Then

\(\sqrt{52}\) + \(\sqrt{117}\)

= 2\(\sqrt{13}\) + 3\(\sqrt{13}\)

= 5\(\sqrt{13}\) → G

\({\small\sf{The\:expression \sqrt{52} + \sqrt{117} \:is \: equivalent \: to}}\)

\(\small\bf{F.} \: \sf{13} \)

\(\small\bf{G.}\sf \:5 \sqrt{13} \)

\(\small\bf{H.}\sf\:6 \sqrt{13} \)

\(\small\bf{J.}\sf\:13 \sqrt{13} \)

\(\small\sqrt{52}+\sqrt{117}\sqrt{4•13} +\sqrt{9•13}\tiny\sf\purple{(Product\:Property)}\)

\(\small{ \: \:\: \: \: \: \: \:=\sqrt{2²•13}+\sqrt{3²•13}\tiny\sf\purple{(Prime\:Factorization)}}\)

\(\small{\: \:\: \: \: \: \: \:=\sqrt{2²}\sqrt{13}+\sqrt{3²}\sqrt{13}\tiny\sf\purple{(Product\:Property)}}\)

\(\small{\: \:\: \: \: \: \: \:=2\sqrt{13}+3\sqrt{13}\tiny\sf\purple{(Simplify)}}\)

\(\small{\: \:\: \: \: \: \: \:=5\sqrt{13}\tiny\sf\purple{(Simplify)}}\)

So, the correct option is D.

#Hope it helps!

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