What is the area of a rectangle with a base of 12 mm and a height of 1.4 mm? A. 13.4mm2 B. 16.8 mm2, C. 134 mm2, 168 mm 2

The length of the base of a triangle with the given area and height is equal to [tex]8\ cm[/tex].

" Triangle is defined as the two dimensional geometric shape with three vertices, three sides, and three interior angles enclosed in it."

Standard formula

Area of the triangle [tex]\frac{1}{2} \times base \times height[/tex]

According to the question,

Given,

Given formula of the area of the triangle [tex]= bh[/tex]

[tex]'b'[/tex] represents the base of a triangle

[tex]'h'[/tex] represents the height of a triangle

Area of the triangle [tex]= 32 \ cm^{2}[/tex]

Height of the triangle [tex]= 4 \ cm[/tex]

Substitute the value in the given formula we get,

[tex]32= b\times 4\\\\\implies b = \frac{32}{4} \\\\\implies b = 8 \ cm[/tex]

From standard formula

[tex]32 = \frac{1}{2} \times base \times 4\\\\\implies base = \frac{32\times 2}{4}\\ \\\implies base = 16 \ cm[/tex]

Hence, Option(B) is the correct answer.

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Answer: h(x) = |x|

Explanation:

h(0) = |0| = 0

h(-1) = |-1| = 1

h(-2) = |-2| = 2

Answer: the second one

Hope that helps

Answer:16

Step-by-step explanation:

4*2 is 8/2 is 4 + 16 is 20 - 4 is 16

Answer:

16

Step-by-step explanation:

According to PEMDAS:

First do operations within parentheses.

Then you do exponents.

Then you do multiplication and division (or division and multiplication), working left to right.

Finally, you do addition and subtraction (or subtraction and addition), working left to right.

16 + (4 × 2 / 2) − 4

First, we start with what's in the parentheses.  We have multiplication and division.  Working left to right:

16 + (8 / 2) − 4

16 + 4 − 4

Now we have addition and subtraction.  Working left to right:

20 − 4

16

Answer:

11/2

Step-by-step explanation:

5y+3=36-y

1) Subtract 3 from both sides:

5y=33-y

2) Add y to both sides:

6y=33

3) divide both sides by 6:

y=33/6

4) Simplify the fraction:

11/2

The value of y for which the values of 5y+3 and 36–y are equal = 11 / 2.

Given:

5y+3 and 36-y

To find:

the value of y.

Step 1

Let the equation be

5y+3 = 36-y

Subtract 3 from both sides of the above equation

5y+3-3 = 36-y-3

Simplifying the equation, we get

5y = -y+33

Step 2

Adding y to both sides

5y+y = -y+33+y

Simplify

6y = 33

Divide both sides by 6, then we get

6y / 6 = 33 / 6

Simplify

y =11 / 2

Therefore, the correct answer is y = 11 / 2.

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Answer:5

Step-by-step explanation:30÷6=5

Answer:

5 is how much each ticket costs

[tex]\bf x^2-ax+bx-ab=0\implies \stackrel{\textit{grouping first}}{(x^2-ax)+(bx-ab)}=0 \\\\\\ \stackrel{\textit{common factor}}{x\underline{(x-a)}+b\underline{(x-a)}}=0\implies \stackrel{\textit{common factor}}{\underline{(x-a)}(x+b)}=0\implies \begin{cases} x-a=0\\ \boxed{x=a}\\ \cline{1-1} x+b=0\\ \boxed{x=-b} \end{cases}[/tex]

Answer:

5/4 -6

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A proportional relationship has the form

y = kx ← k is the constant of proportionality

y = [tex]\frac{2}{5}[/tex] x - 4 ← is not in this form

Thus does not represent a proportional relationship

Answer:

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The problem:

Find the slope for the line going through (3,4) and (3,-4).

Step-by-step explanation:

Line up points vertically and subtract.

Then put 2nd difference over 1st.

( 3 ,  4)

-(3  , -4)

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

0      8

So the slope would have been 8/0 but this is undefined.

So the slope is undefined.

Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run.  Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.

3x + 1 = 8

move +1 to the other side

sign changes from +1 to -1

3x+1-1= 8-1

3x= 7-1

divide by 3 for both sides to get x by itself

3x/3= 7/3

Answer:

x= 7/3 and x= 2 1/3

Answer:

[tex]\large\boxed{x=\dfrac{7}{3}=2\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex]3x+1=8\qquad\text{subtract 1 from both sides}\\\\3x+1-1=8-1\\\\3x=7\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{7}{3}\\\\x=\dfrac{7}{3}[/tex]

Answer:

D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Step-by-step explanation:

Well, the first obvious step is to reflect it across the y-axis. Now, for the next step, since we do not have a 90°-clockwise rotation option, we have to go with something similar to that, which would be a 270°-counterclockwise rotation. If you think about it, since 3 × 90 is 270, and rotating this figure 90° clockwise [one rotation] would go from Quadrant III to Quadrant II, going the other way around [270°counterclockwise (three rotations)] will also go from Quadrant III to Quadrant II [to Quadrant IIII to Quadrant I to Quadrant II].

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Answer:

The answer i choose is D

Step-by-step explanation:

i choose D because 1.) i you worked out answer A than it would be sideways and wouldn't even fit on the board.  2.) if you worked out problem B than you will notice that the figure will end up sideways again.  3.) if you did answer C than you don't even end up in the right quadrant of the board

so you are left with D.) a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Answer:

$147,000

Step-by-step explanation:

After 1st year:

we need to increase 150,000 by 4%. That means the value would be 150,000 multiplied by 1.04. So:

150,000 * 1.04 = 156,000

After 2nd year:

The new appreciated value of 156,000 will now suffer a loss of  6%. So we need to find the new value by multiplying 156,000 by 0.94 (6% loss). So:

156,000 * 0.94 = 146,640

To the nearest 1000, this would be $147,000

Answer:

-2

Step-by-step explanation:

y=.5(-10)+3

y=-5+3

y=-2

Finally, we'll drag the corresponding domain description into the box under each graph based on our analysis.

To answer the question presented in the image, we need to match each graph with its corresponding domain. Here's how to determine the domain for each graph step by step:

1. Examine the first graph:

2. Examine the second graph:

3. Examine the third graph:

Now, let's apply this process to each graph in the uploaded image:

Answer:

D)commodity,representative,filat

Answer:

Physical money. Physical money, meaning cash and coins, is created by the US Treasury. ...

Central bank reserves. Central bank reserves are a type of electronic money, created by the Federal Reserve and used by banks to make payments between themselves. ...

Commercial bank money.

Step-by-step explanation:

It's D.

It might be wrong, but if i was to answer, this is what i would put.

Answer: Hello there!

your set is  {(1,-2), (0,4), (2,-3)} where the pairs have the form (x,y)

You want to know with pair you need to add to this set in order to make it "not a function"

The priority rule for a function is the unicity; this means that each value of x has only one value of y associated; or:

if f(x) = y1 and f(x) = y2, then y1 = y2

(notice that a given value of y can be related to different values of x; for example the function f(x) = x^2 has the same y value for x and -x)

Then the problem is if we add the pair (0,2), of option C.

because we already have a pair with the value of x = 0, in the form of (0,4), and these two pairs would have a different value of y for the same value of x, then this set doesn't represent a function anymore.

Then the correct option is C

g=2

5.3g+9−2.3g=2.3g+15−2.3g

3g+9=15

3g+9−9=15−9

3g=6

3g/3=6/3

therefore, g=2

hope i helped ^__^

Answer:

The solution for the equation is [tex]g=2[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]5.3g+9=2.3g+15[/tex]

Subtract 2.3g from both sides.

[tex]5.3g-2.3g+9=2.3g-2.3g+15[/tex]

[tex]3g+9=15[/tex]

Subtract 9 from both sides.

[tex]3g+9-9=15-9[/tex]

[tex]3g=6[/tex]

Divide both sides by 3.

[tex]\frac{3g}{3}=\frac{6}{3}[/tex]

[tex]g=2[/tex]

Hence, the solution for the equation is [tex]g=2[/tex].

Answer:

3.15

Step-by-step explanation:

3.149 rounded to the nearest hundredth is 3.15.

We have,

To round a number to the nearest hundredth, we look at the digit in the thousandth place.

In this case, the digit in the thousandth place is 4.

Since the digit 4 is greater than or equal to 5, we round up the digit in the hundredth place, which is 9.

Therefore, the number 3.149 is rounded up to 3.15 when rounded to the nearest hundredth.

Thus,

3.149 rounded to the nearest hundredth is 3.15.

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Answer: -136

Step-by-step explanation:

123+13 is 136 you then change 136 into a negative since you were subtracting 123 from -13

Answer:

-136  

Step-by-step explanation:

Here the given problem,

-13 - 123,

By using number line, we will follow the following steps,

Step 1 : Start from -13 in the number line,

Step 2 : Since, -123 is a negative number so, move 123 units left side from -13,

Step 3 : We will get -136, which is the answer.

That is,

-13 - 123 = -136

Answer

[tex]x = 0 \: or \: 4.17 \times {10}^{ - 1} [/tex] ( 5 /12 )

[tex] \frac{3}{2x} - \frac{2}{3x} = 2[/tex]

multiplying the denominators to get the L.C.M since there is no common factor.

[tex]2x \times 3x = 6 {x}^{2} [/tex]

as the L.C .M

so now the general equation becomes

[tex] \frac{ \frac{3}{2x} - \frac{2}{3x} }{6 {x}^{2} } = 2[/tex]

[tex] \frac{9x - 4x}{6 {x}^{2} } = 2[/tex]

[tex]5x = 6 {x}^{2} \times 2[/tex]

[tex]5x = 12 {x}^{2} [/tex]

[tex]12 {x}^{2} - 5x = 0[/tex]

factorizing x

[tex]x(12x - 5) = 0[/tex]

[tex]x = 0[/tex]

[tex]12x - 5 = 0[/tex]

[tex]12x = 5[/tex]

[tex]x = \frac{5}{12} [/tex]

[tex]x = 0.416[/tex]

[tex]x = 4.17 \times {10}^{ - 1} [/tex]

Answer:

-1280.

Step-by-step explanation:

f(n + 1) = -2 f(n):

As  function of 1 = 160,  function of 2 = -2 * 160 = -320.

function of 3 = -320 * -2 =  640  and

= function of 4 = 640 * -2 = -1280.

The original purchase price of the house was approximately $350,000. This is determined by dividing the current value by 1.34, since the current value represents 134% of the original price. Housing prices generally rise over time, but there can be periods of significant drop.

To find the original purchase price of the house before the increase, we need to understand that the current value represents 100% + 34% = 134% of the original price. Therefore, we can set up the equation 469,000 = 1.34*X, where X is the original value. We can solve for X by dividing both sides by 1.34, which gives X = 469,000 / 1.34, approximately $350,000. Therefore, the house was purchased for about $350,000.

It is important to note that housing prices can fluctuate over time. For example, housing prices have usually risen steadily over time but there are periods where they have dropped significantly, like the housing bust between 2008 and 2009. However, housing is typically considered a safe financial investment over the long term.

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Answer:

Density  = Mass (grams) / Volume (Milliliters)

Density = 120 grams / 200 ml

Density = .60 grams per ml

Density is less than 1 so it will float on water.

Step-by-step explanation:

Step-by-step explanation:

It is given that,

Volume of the block of oak, V = 200 cc

Mass of the block of oak, m = 0.12 kg = 120 grams

The density of any substance is given by mass per unit volume. mathematically, it is given by :

[tex]d=\dfrac{m}{V}[/tex]

[tex]d=\dfrac{120\ g}{200\ cm^3}[/tex]

[tex]d=0.6\ g/cm^3[/tex]

So, the density of the block of oak is [tex]0.6\ g/cm^3[/tex]. The density of water is [tex]1\ g/cm^3[/tex]. So, it will float on water as the density of the block of oak is less than water.

Answer: YOUR ANSWER WOULD BE B

Step-by-step explanation: Your answer would be B because when you reflect something on the y-axis it always goes one cube or dashed line forward so it will not have the same radius nor the circle hope this helps you alot

Answer:

Step-by-step explanation:

Lia's claim is not correct, because when we reflect a figure, its coordinates variate. In this case, Lisa is trying to reflect a circle over the y-axis, which will change y-axis coordinates. The center of the circle is gonna change its y-axis coordinate, for example, if the center is [tex]C(2;3)[/tex], its reflection will be [tex]C(2;-3)[/tex]

Therefore, the center of the circle will not remain the same. However, the radius will be the same, because changing y-axis coordinates don't affect the distance between the center and the circumference of the circle.

So, the correct answer is option C.

Answer:

The number is 1 or -0.94 ( to the nearest hundredth).

Step-by-step explanation:

Let the number be x, then:

(4x)^2 = x + 15

16x^2 - x - 15 = 0

x = [-(-1) +/- sqrt(1 - 4 * 16 * -15)] / 32

x = 32/32 = 1 or

x = -0.94.

Answer:

 x=1           or      x = - [tex]\frac{15}{16}[/tex]

Step-by-step explanation:

To solve this problem, we will follow the steps below;

First, we need to re-write the question in a mathematical format.

Let x be the number

"The square of the product of 4 and a number is the sum of the number and 15"  can be written mathematically as;

(4x)²  = x + 15

16x² = x + 15

This equation can be re-written as;

16x² - x - 15 = 0

This is a quadratic equation, we can solve by formula method

x = -b ±√b² - 4ac   /2a

From the equation above,   a = 16      b = -1     and      c= -15

We can now proceed to insert the values into the equation

x = -b ±√b² - 4ac    /2a

x = -(-1) ±√(-1)² - 4(16)(-15)    /2(16)

x = 1 ±√1 + 960    /32

x = 1 ±√961   /32

x = 1 ± 31   /32

Either   x =  [tex]\frac{1+ 31}{32}[/tex]      or      x = [tex]\frac{1-31}{32}[/tex]

           x   = [tex]\frac{32}{32}[/tex]        or         x =[tex]\frac{-30}{32}[/tex]

       x=1           or      x = - [tex]\frac{15}{16}[/tex]

Your answer would be 6/10, or 3/5

(2 / 5) / (2 / 3) = 0.6

and 0.6 as a fraction is 6/10

6/10 simplified is 3/5

Hopefully I got this right, I'm not 100%

Answer:

Your grade point average (GPA) is calculated by dividing the total amount of grade points earned by the total amount of credit hours attempted. Your grade point average may range from 0.0 to a 4.0. To get the example student's GPA, the total grade points are divided by the total credit hours attempted. To calculate your cumulative G.P.A., total the credit hours and then the grade points from all semesters. Divide the total grade points by the total credit hours.

Hope this helps.

To calculate your overall GPA from your cumulative GPA, multiply each grade by the number of credit hours, sum up all the grade points, and divide by the total number of credit hours.

To calculate your overall GPA from your cumulative GPA, you will need to determine the total number of grade points earned and the total number of credit hours taken. To do this, multiply each grade received by the number of credit hours for that course. Then, sum up all the grade points and divide by the total number of credit hours. This will give you your overall GPA.

Here is an example:

Total grade points: (3.0 x 3) + (4.0 x 4) + (2.0 x 2) = 9.0 + 16.0 + 4.0 = 29.0

Total credit hours: 3 + 4 + 2 = 9

Overall GPA: 29.0 / 9 = 3.22

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Answer:

C

Step-by-step explanation:

Given

x² - 10x + 24 = 0

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 10 = - 10, hence

(x - 4)(x - 6) = 0 ← in factored form → C

Answer:

○ C (x - 4)(x - 6)

Step-by-step explanation:

According to the Quadratic Equation of x² - 10x + 24, you have to find two numbers that when added up to 10, they also multiply up to 24, and those would be 4 and 6, and determining which signs each quantities get would depend on the sign in the midst of the equation [-], so in this case, both 6 and 4 get the negative symbol because -6 - 4 gives you -10, which is what you see in the midst of the equation. So with that, you have your answer.

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Answer:

The balance at the end of the month was $7,056.83

Step-by-step explanation:

we know that

The balance at the end of the month is equal to the balance at the beginning of the month plus deposits and interest minus checks and maintenance fee

so

9,145.87+(2,783.71+11.15)-(4,871.90+12)

9,145.87+(2,794.86)-(4,883.90)=$7,056.83

Answer:

The balance was $ 7,056.83

Step-by-step explanation:

Given,

The original balance in beginning of the month = $9145.87,

The amount of deposit =  $2783.71,

So, new balance after depositing = $9145.87 + $2783.71 = $ 11929.58,

Check amount = $4871.90,

After clearing check, the new balance = $ 11929.58 - $ 4871.90 = $ 7057.68,

Also, after charging $ 12 fees, new balance = $ 7057.68 - $ 12 = $ 7045.68,

Finally getting $ 11.15 interest,

The final balance at the end of month  = $ 7045.68 + $ 11 = $ 7,056.83