The **algebraic expression** for 5 more than z is** Z + 5.**

Given,

5 more than z.

We need to find the algebraic expression.

What are the different algebraic expressions?

We have,

Examples:

- 3 more than M = M + 3

- 3 less than M = M - 3

- 3 times M = 3 x M

- 3 times M less than 2 = 3M - 2

- 3 times M more than 2 = 3M + 2

Find the algebraic expression for **5 more than Z.**

We have,

5 more than Z = Z + 5

Thus the algebraic expression for 5 more than z is Z + 5.

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When using a counterexample to prove a conditional statement false, which must be true about the counterexample?

There must be infinite counterexamples.

The counterexample must satisfy the hypothesis of the conditional statement.

There must be at least one example under which the conditional statement is true.

The counterexample must satisfy the conclusion of the conditional statement.

The **counterexample **must satisfy the **hypothesis **of the **conditional statement **which is the correct **answer **would be **option **(**B**).

A counterexample is an example in which the **hypothesis **is correct but the **conclusion **is **incorrect**.

Since A counterexample is used to show that a **conditional **assertion is untrue.

So, just one counterexample is required to prove a statement **untrue**.

Also, when employing a counterexample to prove a conditional assertion untrue.

The counterexample must then meet the **hypothesis **of the conditional statement.

As a result, the correct statement concerning the counterexample is;

The conditional statement's hypothesis must be satisfied by the **counterexample**.

Hence, the correct **answer **would be **option **(**B**).

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You are an executive with the Varsity Corporation in Atlanta, Georgia. The company president was scheduled to make an important sales presentation tomorrow afternoon in Seattle, Washington, but he has now asked you to take his place.

The trip consists of a 2 1/4 hour flight from Atlanta to Dallas, a 1 1/2 hour layover in Dallas, and then a 3 1/2 hour flight to Portland. There is a 1 3/4 hour layover in Portland and then a 3/4 hour flight to Seattle. Seattle is on Pacific Time, which is 3 hours earlier than Eastern Time in Atlanta.

a) If you depart Atlanta tonight at 9:30 p.m. and all flights are on schedule, what time will you arrive in Seattle?

b) If your return flight is scheduled to leave Seattle at 9:10 p.m. tomorrow night, with the same flight times and layovers in reverse, what time are you scheduled to arrive in Atlanta?

c) If the leg from Dallas back to Atlanta is 2/3 of an hour longer than scheduled due to headwinds, what time will you actually arrive?

Using operations with **mixed numbers** and relations between hours and minutes, it is found that:

**a)** You will arrive in Seattle at 4:15 am.

**b)** You will arrive in Atlanta at 9:50 a.m.

**c) **You will arrive in Atlanta at 10:30 a.m.

A mixed number is **represented **as follows:

a b/c.

In which:

a is the integer part of the number.b/c is the fractional part of the number.As a **decimal**, the number is given as follows:

a + (b/c).

For** item a**, it is found that the **time **it takes to arrive in Seattle from Atlanta is given by the addition of these following numbers:

Hence the time in hours is:

2.25 + 1.5 + 3.5 + 1.75 + 0.75 = 9.75 hours = 9 hours and 45 minutes.

Seattle is 3 hours **behind **Atlanta, hence the time you arrive there is:

6:30 pm + 9 hours and 45 minutes = 4:15 am, as:

6:30 pm is the time in Seattle when you depart Atlanta.30 minutes + 45 minutes = 75 minutes = 1 hour and 15 minutes.9 hours and 45 minutes after 6:30 p.m. is of 4:15 a.m.For **item b,** we have that:

For **item c,** 2/3 of an hour is 40 minutes, 40 minutes after 9:50 am is 10:30 a.m., which is the time you would **arrive**.

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simplifylog(z) - log(18)

You have the following expression:

**log(z) - log(18)**

By the properties of logarithms, consider that the subtraction of two logarithms is equal to the logarithm of the quotient of the arguments:

**log(z) - log(18) = log(z/18)**

**Hence, the answer is log(z/18)**

Is y=x(x+1) a valid equation?

y = x(x + 1)

Yes, it's a valid equation, there are 2 values for x and two values for y.

In my opinion it's a continuous function because if we graph it there would not be gaps on it.

Write about a time you have used numbers and operations in your everyday life (outside ofmath class).

When going to the movies and we pay the ticket, most of the times (if we pay in cash) we will receive change for the bill we use.

For example, if the ticket costs $7 and we pay with $10, we will receive 10-7 = $3 as change.

We then have used math to know that the change we receive is correct.

I SEEN HELP ASAP. are these following triangles similar? Yes or no and explain

Given data:

The given length of the EC is CD=9.

The given length of the CD is CD=10.

The given length of TV is TV=27.

The given length of TU is TU=30.

The ratio of the corresponding sides is,

[tex]\frac{EC}{CD}=\frac{TV}{TU}[/tex]Susbtitute the given values in the above expression.

[tex]\begin{gathered} \frac{9}{10}=\frac{27}{30} \\ =\frac{9}{10} \end{gathered}[/tex]Thus, the ratio of the corresponding sides is equal so they are similar.

The proportional relationship between cost and pints of blueberries is shown in the table.

Blueberries (in pints) 2 5

Cost (in dollars) 6.80 17

Describe what a graph of the proportional relationship would look like.

A coordinate plane with the x-axis labeled Cost (in dollars) and the y-axis labeled Blueberries (in pints) shows a line going through (0, 0) and (5, 17).

A coordinate plane with the x-axis labeled Cost (in dollars) and the y-axis labeled Blueberries (in pints) shows a line going through (0, 0) and (2, 6.80).

A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).

A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (6.80, 2).

A **graph** of what the **proportional** relationship would look like is: C. a coordinate plane with the **x-axis** labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).

In Mathematics, a **graph** is commonly used for the graphical representation of data **points** on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (**x-axis**) and y-coordinate (y-axis).

Generally speaking, the **graph** of a **proportional** relationship between two variables is always characterized by a straight line with its data **points** passing through the origin (0, 0).

In this context, the **x-axis** of this **graph **would be labeled Blueberries (in pints) while the y-axis would be labeled Cost (in dollars), with the data **points** starting from the origin (0, 0) and passes through (5, 17) as shown in the image attached below.

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**Answer:**

C. a coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).

**Step-by-step explanation:**

2.

Tom receives $18 from his father in a week. The ratio of the amount of

money he spends to the amount of money he saves in a week is 5 : 4.

(a) What is the difference between the amount of money spent and the

amount of money saved in a week?

B) How much does Tom save in a week?

**Answer:**

a= 2 and b= 8

**Step-by-step explanation:**

a=5/9×18=10

b=4/9×18=8, then a-b=10-8=2

b=4/9×18=8

Solve the system. Tell how many solutions the system has.-2x + 6y = 8x-3y=-3solution(s).The system has (select)(select)onenoinfinitely many

We have

-2x + 6y = 8 ...(1)

x-3y=-3 ....(2)

we need to solve the system of equations

we will multiplicate the second equation by 2

[tex]2x-6y=-6[/tex]then we sum the equation above with the first equation

[tex]-2x+2x+6y-6y=8-6[/tex]we sum similar terms, and we obtain

[tex]0=2[/tex]that's an inconsistency

so we don't have a solution

the answer is **no**

a person's blood type is denoted with the letters a, b, and O, and symbols + and - The blood type A+ is read as A positive blood type B- is read as B negative. Use the data to write a ratio for the comparison and three different ways. O+ donors to B+ Donors.the ratio using the word "to" is [] to []

**Answer:**

**The ratio using the word "to" is;**

**Explanation:**

Given on the table;

Number of O+ donors = 100

Number of B+ donors = 29

The ratio of the O+ donors to B+ Donors is:

Number of O+ to Number of B+

Which gives;

**The ratio using the word "to" is;**

2,361÷59

What is the answer with a remainder

Answer:

40 R 1.

Step-by-step explanation:

To analyze the variation of vitamin supplement tablets, you randomly select and weigh 14 tablets. The results are shown below: 500.000 499.995 500.010 499.997 500.015 499.988 500.000 499.996 500.020 500.002 499.998 499.996 500.003 500.000 a. Assume this sample is taken from a normally distributed population. Construct a 90% level of confidence for the population variance and population standard deviation. b. For quality control, the population standard deviation of the tablets weights should be less than 0.015 milligrams. Does the confidence interval you constructed for the population standard deviation suggest that it is at an acceptable level? Explain your reasoning.

**Answer:**

**a.**

**b. The standard deviation is at an acceptable level**

**Explanation:**

The confidence interval for the variance can be calculated as:

[tex]\frac{(n-1)s^2}{\chi^2_{\frac{\propto}{2}}}\leq\sigma^2\leq\frac{(n-1)s^2}{\chi^2_{1-\frac{\propto}{2}}}[/tex]Where n is the size of the sample, s² is the variance of the sample, (1-∝) is the level of confidence, and χ² is the value of chi-square with n-1 degrees of freedom.

In this case, we get that n is 14 tablets, s² is 0.000071, and 1-∝ = 90%, so ∝ is 10%.

Then, the values of chi-square with 13 (14 -1) degrees of freedom is:

[tex]\begin{gathered} \chi^2_{\frac{\propto}{2}}=22.36 \\ \chi^2_{1-\frac{\propto}{2}}=5.89 \end{gathered}[/tex]Therefore, the interval of confidence for the population variance is:

[tex]\begin{gathered} \frac{(14-1)(0.000071)}{22.36}\leq\sigma^2\leq\frac{(14-1)(0.000071)}{5.89} \\ 0.000041\leq\sigma^2\leq0.00015 \end{gathered}[/tex]Then, the standard deviation is the square root of the variance, so the interval of confidence for the population standard deviation is:

[tex]\begin{gathered} \sqrt[]{0.000041}\leq\sigma\leq\sqrt[]{0.00015} \\ 0.0064\leq\sigma\leq0.0125 \end{gathered}[/tex]Finally, since the upper limit of the interval for the standard deviation is less than 0.15 milligrams, we can say that the population standard deviation is at an acceptable level with a confidence level of 90%

Find the volume of this sphere.Use 3 for TT..V ?20 ftV ==Tr3Hint: The radius (r) is1/2 of the diameter.

From the problem, the diameter of the sphere is 20 ft.

Note that radius is half of diameter, so the radius will be r = 20/2 = 10 ft

Using the volume formula of a sphere.

[tex]V=\frac{4}{3}\pi r^3[/tex]where π = 3

[tex]\begin{gathered} V=\frac{4}{3}(3)(10)^3 \\ V=4000 \end{gathered}[/tex]The answer is **4000 ft^3**

What is the domain of the square root function graphed below?

On a coordinate plane, a curve opens down to the right in quadrant 1. The curve starts at (3, 1) and goes through (4, 2) and (7, 3).

**Answer:**

3 ≤ x < ∞

**Step-by-step explanation:**

You want the **domain** of a **square root function** shifted **right 3 units** and **up 1 unit**. It goes through points **(3, 1), (4, 2) and (7, 3)**.

The domain of a function is the set of values of the independent variable for which the function is defined. It is the horizontal extent of the graph.

The graph of the given square root function extends to the right from x=3.

**The domain is 3 ≤ x < ∞**.** In interval notation, it is [3, ∞)**.

A theme park guest takes an innertube into the wave pool. The innertube moves up and down in a way such that the height h of the innertube, in meters, above the floor of the pool can be modeled by the function h = asinbx + 5. When the wave pool is turned on, the innertube's height fluctuates between 2 meters and 8 meters, with an interval of 12 seconds between maximums. Based on the context of the problem, what are the values of a and b?

So we are told that the height of the innertube in meters is given by:

[tex]h(x)=a\sin (bx)+5[/tex]The minimum height is 2 meters, the maximum is 8 meters and the time between two consecutive maximums is 12 seconds. Here is important to note a few properties of the sine. First of all, the minimum value of sin(bx) is -1 and its maximum value is 1. Then the height of the innertube is minimum when sin(bx)=-1 and maximum when sin(bx)=1. With these two values we can build two equations for a:

[tex]\begin{gathered} \min (h)=2=a\cdot(-1)+5 \\ \max (h)=8=a\cdot1+5 \end{gathered}[/tex]So we have:

[tex]\begin{gathered} 2=-a+5 \\ 8=a+5 \end{gathered}[/tex]Substracting 5 from both sides of the second equation we get:

[tex]\begin{gathered} 8-5=a+5-5 \\ 3=a \end{gathered}[/tex]Using this in the first equation gives us:

[tex]\begin{gathered} 2=-3+5 \\ 2=2 \end{gathered}[/tex]Which confirms that a=3. Now we have to find b. For this purpose we can recal another property of the sine. Its period i.e. the distance (in this case the time) between two consecutive maximums is given by:

[tex]\frac{2\pi}{b}[/tex]Since we know this time is 12 seconds we get:

[tex]\frac{2\pi}{b}=12[/tex]If we multiply both sides by b and divide them by 12 we get:

[tex]\begin{gathered} \frac{2\pi}{b}\cdot\frac{b}{12}=12\cdot\frac{b}{12} \\ \frac{2}{12}\pi=b \\ \frac{\pi}{6}=b \end{gathered}[/tex]So we have:

[tex]a=3\text{ and }b=\frac{\pi}{6}[/tex]Which means that** the answer is the second option**.

What are the coordinates of point Q?

O (-3,0)

O (0, -3)

O (0, 3)

O (3, 0)

0,-3 is the answer gang

the amount of water a washing machine uses varies directly with the number of loads of laundry washed. if a machine uses 65 gallons of water to wash 5 loads, how much water will be used to was 8 loads?

Let g represent gallons of water and let L represent loads.

Here, the gallons of water varies directly with the number of loads, thus we have:

g ∝ L

Now introduce a constant k:

**g = kL**

65 gallons is used to wash 5 loads, thus we have:

65 = k * 5

Let's solve for k:

65 = 5k

Divide both sides by 5:

[tex]\begin{gathered} \frac{65}{5}=\frac{5k}{5} \\ \\ 13=k \end{gathered}[/tex]To find the amount of water that will be used to wash 8 loads, we have:

g = kl

We are to find g, substitute 13 for k and 8 for l:

g = 13 x 8

g = 104

Therefore, to wash 8 loads, 104 gallons of water is needed.

**ANSWER:**

**104 **

-45g – 9g

Factor the algebraic expression

**Answer:**

-54g or -9g(5+1)

**Step-by-step explanation:**

-45g - 9g

-9g(5+1)

I'm not sure which form you want it in lol. -9g(6)

:]

**Answer:**

-9g ( 5 + 1 )

**Step-by-step explanation:**

-45g - 9g

-(45g - 9g)

common factor or less number = 9

-9g (5 + 1)

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

**Answer:**

600

**Step-by-step explanation:**

[tex]R(1)=400 \\ \\ R(2)=1000 \\ \\ R(2)-R(1)=600[/tex]

A student bank balance at the beginning of month was $843 during the month she deposits $92’ $404’ $39 and $51 also she made withdrawal of $70 $87 and $221 what was the student’s balance at end of month?

The **account balance** at the end of the month is $1051.

To estimate the **balance** in a bank account, one has to add the **credit** to the available **balance** of the account and subtract the **debited** amount from the same.

It is given that the **account balance** initially is $843.

The **deposited balances** are $92, $404, $39 and $51.

Add the **credited amount** to the **account balance**.

So, the **current amount** is = $843+ $92+ $404+ $39+ $51= $1429

The **withdrawal amount** is $70, $87 and $221

Subtract the **debited amount** to the **account balance**.

So, the current amount is = $1429 - $70 -$87 - $221 = $1051.

So, the **account balance** at the end of the month is $1051.

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A line that describes a proportional relationship between x and y is graphed on a coordinate grid. The line passes through (6, 2). Through what other point must the line pass?

The other **point** through which a line that describes a **proportional** **relationship** must pass is the point (0, 0)

A **proportional relationship** is one in which each the ratio of the *x *and *y*–values of each point on the line of the function is a **constant**.

The given relationship described by the line = A proportional relationship

The given point on the **line** = (6, 2)

Required; The other point through which the line must pass.

Given that the relationship described by the line, the ratio of all points on the line is a constant and each point (x, y) can be expressed in the form;

y = K•x

Which gives;

[tex] \displaystyle{ K = \frac{y}{x} }[/tex]

Where, *K *is a constant which is not equal to zero.

From the **zero** product property, which states that the product of all numbers and zero is also zero, we have;

When *x *= 0, * *k × 0 = 0 = *y*

A point through the line must pass is therefore; (0, 0)

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Meals in a hospital cafeteria are discounted 15% for all hospital employees what will an employee pay for the grilled chicken lunch which cost a non employee $8.00

Given that the meals in a hospital cafeteria are discounted 15% for all hospital employees,

The price an employee will pay for the grill chicken lunch worth of $8.00 will be,

[tex]\text{ \$8.00}-(15\text{ \% of \$8.00)}[/tex][tex]\begin{gathered} \text{ \$8.00-(}\frac{\text{15}}{100}\times\text{ \$8.00)} \\ \text{ \$8.00-(0.15}\times\text{ \$8.00)}=\text{\$8.00- \$1.2=\$6.8} \end{gathered}[/tex]**Hence, the hospital employee will pay ****$6.8**** for the grilled chicken lunch.**

What is this answer 467 x 48=

**Long Multiplication**

1. Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.

This will be written as follows:

467

x 48

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

2. Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number.

This product is 8*7 = 56

3. If that answer is greater than nine, write the ones place as the answer and carry the tens digit.

We should write 6 and carry 5:

467

x 48

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

6 (carry 5)

4. Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.

The next product is 8*6 = 48. Adding the carry: 48+5=53, Write 3, carry 5:

467

x 48

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

36 (carry 5)

Multiply 8*4 = 32. Add the carry 5: 32+5 = 37. Write the full number because it's the last of the products of this step:

467

x 48

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

3736

5. When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.

Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.

Multiply 4*7 = 28. Write 8, carry 2.

467

x 48

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

3736

8 (carry 2)

Multiply 4*6=24. Add 2: 24+2=26. Write 6, carry 2:

467

x 48

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

3736

68 (carry 2)

Multiply 4*4=16. Add 2: 16+2=18. Write the full number:

467

x 48

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

3736

1868

6. When you finish multiplying, draw another answer line below your last row of answer numbers.

467

x 48

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

3736

1868

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

7. Use long addition to add your number columns from right to left, carrying as you normally do for long addition.

467

x 48

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

3736

1868

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

**22416**

Assume a normal distribution and that the average phone call in a certain town lasted 9 minutes, with a standard deviation of 2 minutes. What percentage of the calls lasted less than 5 minutes?

Given the sample mean of the distribution as **9 minutes.**

Also, the sample deviation as **2 minutes;**

Given the z-score formula;

[tex]z=\frac{x-\mu}{\sigma}[/tex]Where;

[tex]x=5,\text{ }\mu=9\text{ and }\sigma=2[/tex][tex]\begin{gathered} z=\frac{5-9}{2} \\ z=-\frac{4}{2} \\ z=-2 \end{gathered}[/tex]Now, from the Z-table;

[tex]P(x<-2)=0.02275[/tex]Thus, **the percentage of the calls lasted less than 5 minutes is 2.3%**

Graph the solution set of the second linear any quality

**Solution**

- The inequality is:

[tex]7y\ge6x+21[/tex]**- The graph of the inequality is graphed using a graphing calculator as follows:**

Describe a series of transformations Matt can perform to device if the two windows are congruent

**Congruent** shapes are produced when the three **transformations**—rotations, reflections, and translations—are combined. Any pair of congruent shapes can actually be matched to one another by combining one or more of these three transformations.

An object's shape and/or location can vary in each of the four possible transformations of a point, line, or geometric figure. Pre-Image refers to the shape of the object before transformation, whereas Image refers to the location and shape of the object after **transformation**.

Data Presented

We now understand that stiff transformations preserve the size and shape of the figures (reflections, translations, and rotations). The pre-image and the actual image always concur.

The following transformational skills belong to Matt:

**Reflection **

A reflection maintains its initial form because the Comparable locations from the pre-image to the picture remain at the same distance from the line of reflection.

**Rotations** as a Congruence Transformation

A rotating figure twists. Despite being the same size and shape as before, the figure appears to have toppled over. A clock is an excellent example of how the globe actually rotates. Every hour or every day, a clock's connecting arms revolve around its axis. The degree of a rotation determines what kind of rotation it is; popular rotations include those of 90, 180, and 270 degrees. Before going back to its original position, the figure rotates a full 360 degrees. the clockwise or counterclockwise direction in which a revolution happens. This data can be used to determine the degree, amount, and a revolution's speed and direction.

Congruence **translational** transformation

When an object or shape is transferred from one location to another without altering its size, shape, or orientation, we refer to the transfer as a movement. A translation, often known as a slide, involves moving every point on an object or shape uniformly and in one direction.

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Without using a calculator, order the following numbers from least to greatest.

15

14

√200

**Answer:**

14, 200 squared, 15

**Step-by-step explanation:**

sent help please urgent

calling 911 rn

they’re asking what help

they’re asking what help

The graph below represents the number of siblings each student in a class has.

**Given;**

There are given that the graph represents the number of siblings.

**Explanation:**

According to the given graph:

The frequency of the number of siblings is:

[tex]6,7,4,4,3,2[/tex]Now,

We need to find the value of the range:

So,

From the concept of range:

The value of the difference between the highest data and lowest data will be representing the value of the range:

So,

The highest number is 7 and the lowest data is 2:

So,

[tex]\begin{gathered} Range=7-2 \\ =5 \end{gathered}[/tex]**Final answer:**

Hence, the value of the range is **5.**

Task 3: Solve the following quadratic equation by extracting the square root.

**Given - **

(2s - 1)² = 225

**To Find - **

s =?

**Step-by-Step Explanation - **

(2s - 1)² = 225

Now, on removing square =

(2s - 1) = √225

2s - 1 = 15

2s = 15 + 1

2s = 16

s = 16/2

s = 8

**Final Answer - **

**s = 8**

-38 = -3 + 5v solve for v simplify your answer as much as possible
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Consider the two expressions (6x^3 + 9x^2 + 4x + 7 - 17x^2 - 8x + 8)/(2x + 3 - 7x - 11) and 4x^2 - 7 + 1/(2x + 3 - 7x - 11)a) Show that the two expressions represent equal numbers when x = 10b) Explain why these two expressions do not represent equal numbers when x = -3/2c) Show that these two expressions represent equal numbers for all x other than -3/2.
A stand at the farmers market sells different types of apples, as shown in the table. Apple A Apple B Apple CCost ($)4.90 1.00 0.45Weight 4 lb 10 oz 1/2 lbWhich type of apple costs the least per pound?
An agent lists a sellers house for 6% commission. The final agreed sales price is $205,000. How much commission did the seller pay?
Cazels agrument about the economic situation