andrew wants the average of his five tests in science to be a 93. what score must he earn on the fifth test if his first four test grades are 87, 89, 97, and 95?

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

7 . 3 - 3 . 3

= 21 - 9

= 12

Just substitute you y = 3 into the equation

Answer:

The correct answer is 12.

Step-by-step explanation:

To solve this problem, we must plug in 3 for each occurrence of y in the expression because we are given that y = 3.  In this case, we will get the following:

7y - 3y

7(3) - 3(3)

To evaluate, we must simplify this expression.  Due to the order of operations, we should compute the multiplication first.  7*3 = 21 and 3*3=9, so we can plug in these values into our expression.

21 - 9

Now, we can perform the subtraction.

21-9=12

Therefore, the correct answer is 12.

Hope this helps!

The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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Answer:

14

Step-by-step explanation:

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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Answer:

G. 477.75

Step-by-step explanation:

Answer:

\(x>21\)

Step-by-step explanation:

\(3+1/2(5-x)<-5\\\\3 + \frac{1}{2} (5-x)< -5\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\3+\frac{1}{2}\left(5-x\right)-3<-5-3\\\\Simplify\\\frac{1}{2}\left(5-x\right)<-8\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\2\cdot \frac{1}{2}\left(5-x\right)<2\left(-8\right)\\\\Simplify\\5-x<-16\\\\\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\\5-x-5<-16-5\\\\Simplify\\-x<-21\\\\Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\)

\(\left(-x\right)\left(-1\right)>\left(-21\right)\left(-1\right)\\\\Simplify\\x>21\)

Answer:

x > 21

I hope this helps!

Question:

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

B) The length of rod PR is adjusted to 16 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth.

Answer:

A) 16.64 Feets

B) 7.65 feets

Step-by-step explanation:

Given the following :

The question above can be solved by applying Pythagoras rule :

A^2 = B^2 + C^2

PR² = PQ² + QR²

PR² = 14² + 9²

PR² = 196 + 81

PR = √277

PR = 16.64feet

Now if PR is adjusted to 16 Feets, the New height of the scaffold will be:

QR² = PR² - PQ²

QR² = 16² - 14²

QR² = 256 - 196

QR² = 60

Take the Square root of both sides

QR = √60

QR = 7.7459666 Feets

Answer:

200=4hrs=10 of the machines

200=4hrs

300=xhrs

Cross multiply

200×xhrs = 300×4hrs

X=1200/200

X= 6 hours

Temperature of ch4 will be 150K

given :-

\(\sqrt{2} speed of 02 = 448.8\)

u.avg. = \(\sqrt{8rt/\pi m} \\\)

u.avg ch4 = \(\sqrt{8rt1/\pi 16}\)

hence , mass of ch4 = 12 +4 = 16

Methane (US: MEH-thayn, UK: MEE-thayn) is a chemical compound with the chemical formula CH4 (one carbon atom bonded to four hydrogen atoms). It is a group-14 hydride, the simplest alkane, and the main constituent of natural gas.

The molar mass of oxygen atom  O

O

 is 15.99

This is only the mass of 1 oxygen atom so the molar mass of oxygen molecule  O is 15.99

is double the number, i.e. approximately 32

u.avgO2 = \(\sqrt{8r(300)/\pi (32)}\)

u.avgch4 = u.avgo2

\(\sqrt{8rt1/\pi 16}\) = \(\sqrt{8r(300)/\pi (32)}\)

==> t1/16 = 300/32

==> t1 = 150 K

They have same average velocity when the temperature of CH4 is 150 K

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    To answer these questions, we need to graph the equation as well as turn this into slope-intercept form, this is y = mx + b. The m is our slope and the b is the y-intercept.

-> See attached for graph

   1.5x + 4.5y = 18

   4.5y = -1.5x + 18

   y = -\(\frac{1}{3}\)x + 4

      The slope is -\(\frac{1}{3}\)

                y = -1/3x + 4

       The y-intercept is (0, 4)

                The x-intercept is (12, 0)

The function which represents the graph is f(x) = (x + 2)(x² + 3x - 4). Then the correct option is 1.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is given below.

The value of the function is zero for the values of x are -4, -2, and 1.

Let's check which function gets satisfied.

f(x) = (x + 2)(x² + 3x - 4)

The function can be written as

f(x) = (x + 2)(x + 4)(x - 1)

Then the values of x for which the value of the function is zero.

                       f(x) = 0

(x + 2)(x + 4)(x - 1) = 0

                         x = 1, -2, -4

Then the function will be f(x) = (x + 2)(x² + 3x - 4). Then the correct option is 1.

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The symbols d and sd represent:

The differences in the mean of the paired data entries in the dependent samples.

What is the standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation.

Here,

d: the difference between paired data in the dependent samples.

sd:  standard deviation.

The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.

Hence, the differences in the mean of the paired data entries in the dependent samples.

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To change the chart style to style 42 (2nd column 6th row), follow these steps:

1. Select the chart you want to modify.
2. Right-click on the chart, and a menu will appear.
3. From the menu, choose "Chart Type" or "Change Chart Type," depending on the version of the software you are using.
4. A dialog box or a sidebar will open with a gallery of chart types.
5. In the gallery, find the style labeled as "Style 42." The styles are usually represented by small preview images.
6. Click on the style to select it.
7. After selecting the style, the chart will automatically update to reflect the new style.

Note: The position of the style in the gallery may vary depending on the software version, so the specific position of the 2nd column 6th row may differ. However, the process remains the same.

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Note that  it is important to remember when converting a music file from analog data to digital data to use:

The greater the sample rate, the more snapshots of the audio stream are captured. The audio sample rate, measured in kilohertz (kHz), defines the frequency range sampled in digital audio. under most DAWs, you may change the sample rate under the audio options.

Continuous variables are numerical variables with an endless number of possible values between any two values. A continuous variable can be either numeric or date/time based.

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Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

Answer:

si

Step-by-ste

Answer:

7.78 kilograms

The standard form of the quadratic equation is 9x² + 7x + 6 = 0

Given,

The quadratic equation: -9x² = 7x + 6

We have to write this equation in standard form.

An equation of the second degree with the formula ax² + bx + c = 0 is known as a quadratic equation in mathematics. In this case, x is the variable, a and b are the coefficients, and c is the constant term. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

So, the standard form is,

ax² + bx + c = 0

Here,

-9x² = 7x + 6

9x² + 7x + 6 = 0

Therefore, the standard form of the quadratic equation is 9x² + 7x + 6 = 0

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Answer:

its 10 or 20 which every cause its 0.15 cents

Step-by-step explanation:

Answer:

brackets, then Parenthesis then the FIRST Multiplication then the division and then math and sub and so on a so for

Step-by-step explanation:

Answer:

12   50/50 chance

Step-by-step explanation:

The probability that at least one of the three coins gets all heads when each coin is tossed four times is 13/16.

To calculate the probability that one of the three coins gets all heads when each coin is tossed four times, we need to consider the possible outcomes.

Each coin has two possible outcomes: heads (H) or tails (T). When a fair coin is tossed, the probability of getting heads or tails is 1/2.

Let's calculate the probability step by step:

1. Calculate the probability of getting all heads on one coin:

  - Probability of getting heads on one toss: 1/2

  - Probability of getting all heads in four tosses: (1/2) * (1/2) * (1/2) * (1/2) = 1/16

2. Calculate the probability of a specific coin getting all heads:

  Since there are three coins, the probability of any one coin getting all heads is the same. Therefore, we multiply the probability calculated in step 1 by 3:

  Probability of one specific coin getting all heads: (1/16) * 3 = 3/16

3. Calculate the probability of at least one of the three coins getting all heads:

  To calculate this, we subtract the probability of none of the coins getting all heads from 1.

  Probability of none of the coins getting all heads: 1 - Probability of one specific coin getting all heads

  Probability of none of the coins getting all heads: 1 - (3/16) = 13/16

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Answer: Hope This Helps!

Step-by-step explanation:

Changes in air pressure are determined by a variety of forces, including the density and temperature of air masses. When air moves from between areas of high pressure and low pressure, wind directions and speeds may change. The driving force behind changes in air pressure and therefore the creation of wind is gravity.

Answer:

No solution

Step-by-step explanation:

5p - 14 = 5p + 19

→ Minus 5p from both sides

Immediately the p's cancel each other out there there is no solution

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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An algebraic statement with parentheses is known as a factored form. A factored form is essentially a sum of products. or a sum of sums plus their products.

An algebraic statement with parentheses is known as a factored form. A factored form is essentially a sum of products. or a sum of sums plus their products. A factored form can represent any logic function, and every factored form represents some logic function.

1a)The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be 7x + 3

The expression for width would be 4x - 2

1b)Area = length × width

To estimate the algebraic expressions for length and width

Area = (7x + 3)(4x - 2) = 28x² - 14x + 12x - 6 = 28x² - 2x - 6

Area = 28x² - 2x - 6

Given x = 10,

Let the equation be 28 x² - 2x - 6

substitute the value of x, in the above equation, we get

= 28(10)² - 2(10) - 6

= 2774

Area = 2774 sq . m

2. We can group the first two terms and next two terms:

xy - 4y + 7x - 28 = (xy - 4y) + (7x - 28)

simplifying the above equation, we get

y(x - 4) + 7(x - 4) = (x - 4)(y + 7)

Therefore, the equation is in factored form.

The complete question is:

1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow change. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length that is three more than seven times x and the width is four times x minus 2.a.) What are the dimensions of your mowing plot? (2 points)

Length: ______________________________________

Width: ______________________________________

b.) What is the area of your plot (remember area = length x width)? (2 points)

Area: _________________________________________

c.) If x = 10 meters, how many square meters is your plot? (show steps)(2 points)

Area: _________________________________________

2.) Factor by grouping: (4 points)

xy − 4y + 7x − 28

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The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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Answer:

14 is the answer of your question