**Answer:**

6/4

1 2/4

1 1/2

**Step-by-step explanation:**

3 x 2/4 = 3/2 or 1 1/2

6/4 reduces to 3/2 as factors of 2

1 2/4 simplifies to 1 1/2

1 1/2 is equal to 3/2

Answer your looking for is A, C and D

What is equal to 3 minus square root of eight divided by square root of 3

**Answer:**

approximately 1.732

**Step-by-step explanation:**

To solve this expression, we need to start by performing the operations inside the parentheses first. The square root of 8 is equal to 2, so 3 minus 2 is equal to 1. Then, we can divide 1 by the square root of 3, which is equal to approximately 1.732. Therefore, the expression 3 minus square root of eight divided by square root of 3 is equal to approximately 1.732.

What are the 4 tests of congruency?

The 4 tests of congruency are:

**Side **- Side - Side (S.S.S. **congruency**)

Side - **Angle **- Side (S.A.S. congruency)

Angle - Angle - Side (A.A.S congruency)

Right - **Hypotenuse **- Side (R.H.S. congruency)

Tests of **congruency**:

Side - Side - Side (S.S.S. congruency)

If three sides of one **triangle **are equal to three sides of another triangle, the triangles are congruent.

Side - Angle - Side (S.A.S. congruency)

If two sides and the included angle of one triangle are equal to the **corresponding sides** and angle of another triangle, the triangles are congruent.

Angle - Angle - Side (A.A.S congruency)

If two angles and the non-included side of one triangle are equal to the **corresponding angles** and side of another triangle, the triangles are congruent.

Right - Hypotenuse - Side (R.H.S. congruency)

If the hypotenuse and one **leg **of one right-angled triangle are equal to the corresponding hypotenuse and leg of another **right-angled** triangle, the two triangles are congruent.

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What expression is equal to x squared minus 6x

**Answer:**

**Step-by-step explanation:**

[tex]x^{2} -6x[/tex]

I need to know the unit price for both a and b and what’s the better buy

**Answer:**

Brand A Forks $0.08, Brand B Forks $0.06, Better Buy is Brand B

**Step-by-step explanation:**

Unit price is price per unit (in this case, forks)

You need to find the $ for 1 fork for Brand A and B, since they have different unit prices.

total price/units = price/unit

Brand A: $1.97/25 forks = $0.0788 (rounded up is $0.08)

Brand B: $2.98/48 forks = $0.06208 (rounded up is $0.06)

Better brand is Brand B because it is cheaper.

Clark's rule is a formula used to determine pediatric doses of over the counter medicine.

The formula says

The weight of a child divided by 150 multiplied by the adult dose is the same as the child dose

if an adult dose of acetaminophen is 1,000 mg and a child weighs less than 90 pounds, what is

the recommended range of doses?

A. x≤ 600

B. x ≥ 600

C. 500
D. 500 ≤x≤ 600

500 ≤x≤ 600 is the recommended range of **doses**. Typically, a phase I or early phase II clinical trial involves dose range.

To solve this problem using **Clark's rule**, we need to determine the range of pediatric doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg.

A mathematical formula known as Clark's rule is used in **medicine **to determine the right dosage of medication for patients aged 2 to 17 depending on their weight and the recommended adult dose.

First, we can use the formula provided to calculate the child dose:

Child dose = (Weight of child / 150) * Adult dose

Since the weight of the child is less than 90 pounds, we can set the weight of the child to the minimum value in the range, which is 50 pounds. This gives us:

Child dose = (50 / 150) * 1000 mg

= 333.33 mg

Next, we can set the weight of the child to the maximum value in the range, which is 89 pounds. This gives us:

Child dose = (89 / 150) * 1000 mg

= 593.33 mg

Therefore, the recommended range of doses for a child who weighs less than 90 pounds and for whom the adult dose is 1,000 mg is 500 mg ≤ x ≤ 600 mg.

So, the correct answer is D. 500 ≤x≤ 600.

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Determine the domain and range for the function below.

**Answer:**

Domain: (-∞, ∞); Range: [1, ∞)

**Step-by-step explanation:**

Domain is the set/interval of x-values that the function spans while the range is the set or interval of y-values that the function spans.

Domain

We can see that the arrows point towards negative and positive infinity for x and also see there are no holes or asymptotes for this graph. Therefore, the **domain is (-∞, ∞) **or {x | x is any real number}

Range

We can see that the arrows both point towards infinity for y-values and that the lowest y-value this graph touches is y = 1 (inclusive, meaning this y-value is included in the range). Thus, the** range is [1, ∞)** or {y | y ≥ 1}

Where are the asymptotes for the following function located?

f (x) = startfraction 7 over x squared minus 2 x minus 24 endfraction

The** asymptotes **for the given function f(x) = 7/(x^2-2x-24) are located at

x = -3 and x = 8.

The asymptotes of a** function** are the lines that the graph approaches, but never touches as it continues to infinity. In the given function, f(x) = 7/(x^2-2x-24), the asymptotes are located at x = -3 and x = 8.

To find the asymptotes of a function, you first need to factor the **denominator** of the function. In this case, the denominator is[tex]x^2-2x-24,[/tex]which can be factored into (x+3)(x-8). This means that there are two potential zeroes in the denominator, x=-3 and x=8. These two points are the two asymptotes of the** graph** of the given function.

To explain further, the two asymptotes divide the x-axis into three intervals. On the **interval** (-infinity, -3), the graph of the function will approach negative infinity as x approaches -3 from the left. On the interval (-3, 8), the graph of the function will approach positive infinity as x approaches 8 from the right. On the interval (8, infinity), the graph of the function will approach **negative infinity** as x approaches 8 from the right.

In summary, the asymptotes for the given function f(x) = 7/(x^2-2x-24) are located at x = -3 and x = 8.

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Is 3xÂ² 4x 15 a polynomial in one variable?

The **equation **is 3x² - 4x + 15 is **polynomial **in one variable.

An algebraic **expression **with one or more terms and a non-zero **coefficient **is called a **polynomial**. A polynomial is an expression composed of variables, **coefficients**, and constants connected by a mathematical operator. A polynomial is an **expression **connected by mathematical **operations **like addition, subtraction, **multiplication**, and division. An algebraic expression with only one **variable **is called a polynomial in one **variable.**

Given **equation **3x² - 4x + 15

An algebraic **expression **with only one variable is a polynomial in one variable.

some **examples **of one variable polynomial

x + 2

y+ 5

x² + ax + b

ax³ + bx + c

all the **equations **that contain only 1 variables are polynomial in one **variable**.

Hence the expression is **polynomial **in one variable.

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12 pencils cost 1.80 pounds. How many pencils can be bought for 6 pounds?

**Answer:**

**Step-by-step explanation:i think to answer is either 90p or 9p**

**Answer:**

90p or 9p

**Step-by-step explanation:**

Algebra II 5.02: Solve Radical Equations

Radical Equations

Step 1

To demonstrate how to solve a radical equation, let's use the following equation as an example:

Question 4 (1 point)

What is the product? (6.28x10^3) x 10,000

62,800

6,280,000

6,280

62,800,000

62,800,000 is the **product **of (6.28 x 10^3) x 10,000.

It refers to the result of one or more **multiplications**.

Given **number** is (6.28 x 10^3) x 10,000.

6.28 x 10^3 = 6280

Therefore, 6280 x 10,000 = 628,000,00

Hence, the **product **of (6.28 x 10^3) x 10,000 is 628,000,00.

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In circle H with m/GHJ = 54°, find the m/GKJ.

Answer:

H

G

K

Submit Answer

DEVEL

attempt 1 out of 2

The **measure** of the angle ∠GKJ, m∠GKJ, at the **circumference** of the circle *H*, which is subtends the same **arc** GJ as the angle ∠GHJ at the center of the circle is 27°

An **arc** of a **circle** is a part of the circle's **circumference**.

The **measure** of angle ∠GHJ, m∠GHJ = 54°

The measure of angle ∠GKJ, m∠GKJ = Required

Please find attached a possible drawing of the circle *H* created with MS Word and based on a similar question posted online

The circle, **Angle** at the **Center Theorem** states that the angle subtended at the center by arc is twice the angle subtended by the arc at the circumference of the circle.

The question indicates that the angle subtended by the arc GJ at the center of the circle, ∠GHJ = 2 × The angle subtended by the arc GJ at the circumference, ∠GJK

Therefore;

m∠GHJ = 2 × m∠GKJ

54° = 2 × m∠GKJ

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Find the missing number in this proportion. ?/8=16/64

A.0

B.1

C.2

D.3

Evaluation:

We are required to find the **equivalent fraction **here. When simplifying 16/64, we **divide both sides by 16:**

16 ÷ 16 = 1

64 ÷ 16 = 4

16/64 in its simplest form is **1/4. **When we **multiply both the numerator and denominator by 2, we will find that:**

1/4 = **2/8**

To verify this, we can **multiply both parts of the fraction by 8:**

2 × 8 = **16**

8 × 8 = **64**

Hence, **we know our answer is correct.**

What is the measurement of angle cbd

**Given that: **

Angle CBD=6x-40

Angle BFH=4x

From the given diagram, angle CBD=angle BFH ("corresponding angles")

Therefore 6x-40=4x,

6x-4x=40,

2x=40,

x=20

now Angle CBD= 6(20)-40

= 80

Given:

CD CB CA CE and

Prove:

A E

You may use any style proof you prefer.

The **alternate **angles between two **parallel** lines are **equal**, therefore, ∠ A = ∠ E.

What is rectangle?An **enclosed **2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and **parallel**, opposite sides. Since a **rectangle **is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its **breadth**.

**Given**:

CD ≅ CB and CA ≅ CE

As you can see from the diagram, on joining BE and AD the figure will represent a rectangle ABED because the diagonals of the rectangle are equal and bisect each other.

Thus, DE || AB (Rectangle property)

∠ A = ∠ E, because the alternate angle of parallel lines is equal.

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How do you determine the relationship between the volume of a rectangular prism and pyramid?

The relationship between the **volume **of a rectangular prism and pyramid is defined as that the pyramid takes up **1/3** of the volume of a prism.

Here we need to identify the relationship between the volume of a rectangular prism and pyramid.

As we all know that the volume of rectangle **prism **is written as,

=> Volume of a prism = (area of base) * height

Now, let us consider the volume of a **pyramid **that the pyramid takes up 1/3 of the volume of a prism when their bases and height are equal.

So, here the volume of a pyramid is 1/3 multiplied by the volume of a prism.

Then we get the volume of pyramid is written as,

Volume of a pyramid = 1/3 (area of the base) * height

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passes through (6,3) and (14,-5)

**Answer:**

Slope: m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(14 - 6) = -8/8 = -1

The equation of the line is y = -x + b

Substitute (6,3) into the equation:

3 = -6 + b

b = 9

Therefore, the equation of the line is y = -x + 9

**Step-by-step explanation:**

What is domain simple answer?

A domain is a component of the** nomenclature** used in web addresses to identify your website or a particular page of your website online.

A **function**'s authorized range of values is known as its domain. For a function like f, this set contains of the x values (x). The set of those values represents the possible **range** of values that a function can take as input. The function's response to our x value entry is this group of values.

here ,

A domain is typically a sphere of knowledge or an area under one's control.

Users find it much easier to recall and search for online because it is a string of text linked to a website's numerical IP address.

Both the internet's architecture and the way a company's network resources are set up fall under the umbrella term "domain."

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The m∠BOD = 46 and the m∠BOC = 26. What is the m∠COD?

The **measure **of the **angle **m∠COD is 20 degrees

From the question, we have the following parameters that can be used in our computation:

The measures of the **angles**:

m∠BOD = 46 and m∠BOC = 26.

The measure of the angle m∠COD is the **difference **between of the above angles

Using the above as a guide, we have the following:

Measure of the angle m∠COD = Difference of **angles **m∠BOD and m∠BOC

**Mathematically**, this is represented as

Measure of the angle m∠COD = m∠BOD - m∠BOC

Substitute the known values in the above equation, so, we have the following representation

Measure of the angle m∠COD = 46 - 26

Evaluate the difference

Measure of the angle m∠COD = 20

Hence, the **angle **is 20 degrees

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State a and d for the arithmetic sequence below:

1, 3, 5, 7...

a=

d=

**Answer:a,9 b,11**

**Step-by-step explanation:**

What is the variance of 2 4 6 8 10?

The **variance** of 2, 4, 6, 8, 10 is 8.

To calculate the variance of a set of numbers, you first need to calculate the mean of the set. The mean of 2, 4, 6, 8, 10 is 6. Then, for each number in the set, you need to calculate the difference between that number and the mean, and square the result. Finally, you need to sum those squared differences and divide by the number of items in the set.

Here's the calculation:

(2 - 6)^2 + (4 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (10 - 6)^2 = (-4)^2 + (-2)^2 + 0^2 + (2)^2 + (4)^2 = 16 + 4 + 0 + 4 + 16 = 40

40 / 5 = 8

So, the variance of 2, 4, 6, 8, 10 is 8.

How does variance work?**Variance** is a **statistical** measurement of the variation in numbers within a data set. Variance, in more precise terms, indicates how far apart any number in the set is from both the mean (**average**) and, consequently, from every other number in the set.

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Find the distance between two numbers on a number line -4 7/12 and -3 1/6

**Answer: -17/12 or -1 5/12 or 1 5/12**

**Step-by-step explanation:**

**convert both equations into improper fractions**

**− 55/12 - (-19/6)**

**-55/12+19/6 **

**find the common factor of the denominators**

**-55/12 + 38/12**

**-17/12**

**-1 5/12**

1800 ounces of a radioactive substance are stored in a radioactive container.

ounces, of the substance that is left after t years can be modeled by the equation y = 1800e-0.00052t

where y is the amount of the substance left after t years.

Approximately how many years will it take until 80 ounces of this substance remains?

According to the given statement **2.622 years **will it take until 80 ounces of this substance remains.

Use a test tube holder that has an ounce marker or can be converted quickly to ounces (like cups). As you take the **measuring **cup from the ingredient, let it overflow. You may try and reduce measurement afterwards. Use a knife to level the measuring cup.

The equation may be used to predict how much of the chemical is still present after t years, measured in ounces.

y=1800e -0.00052t

In the equation above, we substitute y = 80 ounce to obtain the time.

80= 1800e -0.00052t

80/1800=e -0.00052t

2/45= e -000.52t

Considering **both ends** of the aforementioned equation

In(2/45)= In(e -000.52t)

In(2)-In(45)= In(e -000.52)

0.3010-1.653= -000.52t

-1.352= -000.52t

dividing by 000.52 on both side

1.352/000.52= t

t= 2.622 years

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What is the median of the following data sample 2 7 4 8 9 10 6 12 13?

There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, and 13. Since there are an **odd number** of values, the **median **is the middle value. In this case, the median is the 5th value, which is 8.

The **median** is a **measure **of central tendency, which means it is used to describe the "typical" or "average" value in a sample of data. To find the median, we first need to arrange the data in numerical order. In this case, the data is already in **numerical** **order**, so we can proceed directly to finding the median.

There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, 13. Since there are an **odd** **number** of values, the median is the **middle value**. In this case, the median is the 5th value, which is 8. This means that 8 is the middle value, with 4 values smaller than it and 4 values larger than it.

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g what word is used to say the probability of an adverse outcome? question 12 options: risk variance random statistics none of the above

**Risk** is used to say the probability of an **adverse outcome.**

Option (a) (Risk) is the correct choice.

Through **risk assessment**, businesses, governments, projects, and investors may determine the likelihood that a bad occurrence will have a detrimental effect on their operations.

Risk assessment is crucial for figuring out the value of a particular project or** investment** and the appropriate process(es) to manage such risks.

Different methods may be used to evaluate the risk and reward tradeoff of a possible investment opportunity using the information provided by risk analysis.

A **risk analyst **begins by determining what may go wrong.

These drawbacks must be compared to a probability meter that assesses the chance that the event will occur.

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The correct question may be:

What word is used to say the probability of an adverse outcome?

(a) risk

(b) variance

(c) random statistics

(d) None of the above

How do you know what method SSS SAS ASA AAS to use when proving triangle congruence?

We can find out which method SSS, SAS, ASA, and AAS can be used to prove similarity by observing what three **components** are given.

If it is given that three **sides** are equal then we will use side side side(SSS) postulate.

If it is given that two sides and one angle is given then we will use the side angle side(SAS) postulate.

If two **angles** and one side is given then we will use the angle side angle (ASA) postulate.

To find which** postulate** will suit for that we will have to observe which components are given that are equal.

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Determine which ratio forms a proportion with 14/35 by writing the ratio in simplist form.

A) 2/7

B) 4/5

C) 3/8

D) 2/5

Divide by 7 and you will get 2/5

I believe the answer is D

What is the first step to graph an inequality?

Always begin by separating the variable y from the inequality's left side is the first step to graph an **inequality.**

The graph of a **two-variable** inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the symbol for inequality with that for equality.

Step 3: In the xy plane, graph the boundary line from step 2. You are creating the boundary line that would divide or cut the xy-plane into two sections in this stage.

Step 4: **Shading** one side or area of the boundary line is the final step.

Step 5: Use this optional step to check or confirm that you have shaded the boundary line's side appropriately.

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Misha surveyed students in her school about what writing tool they use. She found that 75 use pens; 30 of the pen users are boys. She also found that 28 boys and 32 girls use pencils. A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled pens with entries 30, a, 75. Column 3 is labeled pencils with entries 28, 32, b. Column 4 is labeled total with entries c, d, e. Determine what each letter should be to complete this two-way table. A = b = c = d = e =.

The** value** of a,b,c,d, and e is 45, 60, 58, 77, and 135 respectively, required to **complete** the** two-way table.**

A two-way table shows the **connections **between two sets of category **data** visually. Labels are positioned at the top and left sides of the table, which has rows and columns.

The sums for **each row **are displayed to the right, while the sums for **each column** are displayed at the bottom.

We must create a** two-way table** based on the issue to ascertain the worth of **each letter**.

| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one** value** is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

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| Pens | Pencils | Total |

| Boys | 30 | 28 | c |

| Girls | a | 32 | d |

| Total | 75 | b | e |

This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.

Add the entries in the table to get the total and subtract if the total is given and one value is missing.

a= 75-30 = 45

b = 28+32= 60

c= 30+28 = 58

d= 45+32= 77

e= 75+60 = 135

1. Find the length of arc PRQ: Show your work.

**Answer:**

The length of arc PRQ is 16.7 in.

**Step-by-step explanation:**

So,

arc length = 2πr × (θ/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 2(3.14)(8) × (120/360)

arc length = 50.24 × (1/3)

**arc length = 16.7 inches **

**Thus,**** **The length of arc PRQ is **1****6****.****7**** ****in.**

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