Please answer number 4 please!

x< 3 simply means that the value of x is anything less than 3.

That is x = 2, 1, 0,-1, ...

That is x = 3, 2, 1, 0, -1, ...

x = 3 simply means the value of x is 3 only ( just a single value)

Hen

The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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The step that Inga could use to solve the quadratic equation is;

2(x² + 6x + 9) = 18 + 3.

The solution to the quadratic equation is calculated as follows;

2x² + 12x - 3 = 0

Add 3 to both sides to get;

2x² + 12x = 3

Divide through by 2 which is the coefficient of x² to get;

x² + 6x = ³/₂

Square half of the coefficient of x, and then add it both sides of the equation to get;

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

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Answer:

1) (-3,-2)

2) x=-3

Step-by-step explanation:

1) The vertex of a parabola is the turning point that is the minimum or maximum of the graph, based on the shape of the parabola. In this case, the vertex is the minimum. By looking at the coordinate points, we can tell that the minimum value where the graph changes the direction is at (-3,-2).

2) The line of symmetry is the line on the graph that cuts the shape exactly in half. This means that if you were to fold the graph along this line, the two sides would be identical. All parabolas have a line of symmetry and it always matches the vertex. The equation for the line of symmetry will be x= whatever the x-value of the vertex is. So, for this graph, the line of symmetry is x=-3.

Answer: $14.5

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

All we have to do is replace the x and y with their following coordinates

A.(5, -5/6) - - > 5(5) + 12(-5/6) = 25 + (-10) = 15

15 = 15

Yes

B. ( -3, 5/2) - - > 5(-3) + 12(5/2) = -15 + 30 = 15

15 = 15

Yes

C. (-6, 15/4) - - > 5(-6) + 12(15/4) = -30 + 45 = 15

15 = 15

Yes

D. (-5, 10/3) - - > 5(-5) + 12(10/3) = -25 + 40 = 15

15 = 15

Yes

Answer:

On a coordinate plane, a rectangle is 3 units high and 6 units wide.

Answer:

option "B"

You Welcome

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Exponent product rule: If bases are same, add the exponents.

\(a^{m}*a^{n}= a^{m+n}\)

\((5x^{4}y^{2}z^{2}) *(3x^{4}y^{3}z^{5})=(5*3)x^{4+4}*y^{2+3}*z^{2+5}\\\\\\=15x^{8}y^{5}z^{7}\)

Answer:

1, 5, 15

Step-by-step explanation:

First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.

Answer:

1) Translate the circle V(x + 9, y + 8)

2) Dilate circle V by a scale factor of 4

Answer:

Translate circle V (x+9, y+8)

Dilate circle V by a scale factor of 4

Step-by-step explanation:

To prove that two circles are similar:

From inspection of the given diagram:

Therefore, to translate Circle V to Circle V', shift Circle V 9 units right and 8 units up  → (x+9, y+8).

From inspection of the given diagram

Therefore, the scale factor of dilation is:

\(\sf \implies scale\:factor=\dfrac{8}{2}=4\)

Since we have used translation and dilation to map Circle V to Circle V', we can conclude that Circle V and Circle V' are similar.

The sine function for the graph is defined as follows:

y = 2sin(4(x - π/2)) + 1.

The sine function is defined as follows:

y = Asin(B(x + C)) + D.

In which the parameters are given as follows:

The function oscillates between -1 and 3, for a difference of 4, hence the amplitude is given as follows:

2A = 4

A = 2.

The function oscillates between 1 unit above -A and 1 unit above A, hence the vertical shift is given as follows:

D = 1.

The shortest distance between repetitions is of π/2, hence the period is of π/2 and the coefficient B is given as follows:

2π/B = π/2

2/B = 1/2

B = 4.

The function is at it's minimum value at the origin, hence it was shifted right π/2 units, hence the phase shift is given as follows:

C = -π/2.

Hence the function is:

y = 2sin(4(x - π/2)) + 1.

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The point t on the unit circle is ( -1/2, √3 /2 ).

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces. Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.

Consider the point t = - 4π/3 on the circle.

Now, the reference angle is π / 3.

- 4π / 3 is in quadrant 2 where the value of cosine is negative and sine is positive.

Therefore, the point t(x,y) will be:

( x, y ) = ( - cos ( π / 3 ), sin ( π / 3 ) )

( x, y ) = ( - 1/ 2 , (√3 )/ 2 )

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The equation y = -4 cos(πx - 2) represents a cosine function with specific parameters.

Amplitude: The amplitude of the function is given by -4. The negative sign indicates that the graph will be reflected across the x-axis, resulting in a downward orientation.

Period: The period of the cosine function is determined by the coefficient of x inside the cosine function, which is π (pi) in this case. The period (T) can be calculated using the formula T = 2π/|B|, where B is the coefficient of x. In our equation, T = 2π/|π| = 2. Therefore, the graph will complete one full period over the interval [0, 2].

Phase Shift: The phase shift is determined by the constant inside the cosine function, which is -2 in this case. The phase shift (C) can be calculated using the formula C = D/B, where D is the constant inside the cosine function and B is the coefficient of x. In our equation, C = -2/π. Since the phase shift is subtracted from x, the graph will shift 2 units to the right.

Vertical Shift: There is no vertical shift in this equation, as there is no constant term added to the cosine function.

Based on these parameters, we can draw the graph of y = -4 cos(πx - 2). Here are the key characteristics:

The graph will have a downward orientation due to the negative amplitude.

The graph will have a period of 2, meaning it will repeat every 2 units along the x-axis.

The graph will be shifted 2 units to the right due to the phase shift.

To plot the graph, we can start by marking the key points:

At x = 0, the cosine function starts at its maximum value of 1. Since the amplitude is -4, the corresponding y-value would be -4.

Moving to the right by 1 unit (due to the period), we reach x = 1. At this point, the cosine function reaches its minimum value of -1. The corresponding y-value would be -4 * (-1) = 4.

Continuing in this manner, at x = 2, the cosine function completes one full period and returns to its maximum value of 1. The corresponding y-value would be -4.

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Matthew invested $680 in an account paying an interest rate of 5.8% compounded

daily. Assuming no deposits or withdrawals are made, how much money, to the

nearest ten dollars, would be in the account after 11 years?

we know that

The compound interest formula is equal to

\(A=P(1+\frac{r}{n})^{nt}\)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$680

r=5.8%=5.8/100=0.058

n=365

t=11 years

substitute in the formula

Answer: After investing for 10 years at 8% interest

Step-by-step explanation: your $10,000 investment will have grown to $21,589 This calculator determines the future value of $10k invested for 10 years at a constant yield of 8.00% compounded annually

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Given:

solve for y:

Value of y is zero and

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

Answer:

The answer is D.

Step-by-step explanation:

Answer:

  1,000,000

Step-by-step explanation:

The attached place value chart shows the power of ten associated with each number place in a decimal number.

You have ...

  1 × 10⁶ = 1,000,000

(Put the multiplier digit in the appropriate number place, and fill the remaining spaces with zeros. The digits 32,465 on the chart can be ignored.)

__

Additional comment

For powers of 10, the exponent (6 in this case) tells you the number of zeros to the right of the digit 1. That is, 10^6 is 1 followed by 6 zeros:

  1,000,000

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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Answer:

pay all of his salaries ijfd jddu. dyj. fhkbdd yfgjjddd

Answer:

Step-by-step explanation:

In other words, 3/4 fraction of the bill are for vegetables, while 1 part is for fruit.

Using the data provided in the issue, we can determine what percentage of Marco's bill is made up of veggies. We are aware that fruit and vegetables account for 7/12 of the total bill and make up 1/8 of the total. By deducting the portion of the bill that is for fruit from the portion that is for fruit and vegetables, we can determine the portion of the cost that is for vegetables.

We must identify a common denominator for the two fractions in order to accomplish this. Since 12 and 8 have a denominator of 24, we convert both fractions to have a denominator of 24.

1/8 turns becomes 3/24

7/12 changes to 21/24.

We deduct 3/24 from 21/24 in order to derive the percentage of fruit from the percentage of fruit and vegetables.

21/24 - 3/24 = 18/24

Vegetables make up 18/24, or 3/4, of Marco's bill.

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The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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Given:

Sample size, n = 52

correlation coefficient, r = -0.25

Let's find the coefficient of determination of the person's correlation.

To find the coefficient of determination, we have:

coefficient of determination = r²

Thus, we have:

coefficient of determination = r² = -0.25² = 0.0625

Therefore, the coefficient of determination is 0.0625

To find the degrees of freedom, apply the formula:

df = n - 2

Where

df is the degrees of freedom

n is the sample size = 52

Hence, we have:

df = 52 - 2 = 50

The degrees of freedom is = 50

ANSWER:

• Coefficient of determination = 0.0625

• Degrees of freedom = 50

Answer:

\( \frac{1}{4} \)

Step-by-step explanation:

25/100

divide both sides with 25

\( \frac{25 \div 25 }{100 \div 25} \)

simplify

= 1/4

Answer:

1/4

Step-by-step explanation:

Find HCD (Highest Common Factor) for both numerator and denominator.

The HCF for 25 and 100 is 25

Now divide the numerator and denominator by 25  

(25/25) / (100/25)

1/4

And Viola, you got your simplified form!

Answer:    7

Step-by-step explanation:

234577788

        ^

the number in the middle is 7