4 in
4 in
4 in
d the volume of the triangular prism.
A) 6 ind
B) 12 in?
() 32 in
D) 64 in)

Answer:

[tex]3x(x-4)[/tex]

Step-by-step explanation:

[tex]3x^2-12x[/tex]  cannot be factorised in the form (x+b)(x-b) unless one of the b's is zero, so I wonder if the expression is incomplete?

To factorise [tex]3x^2-12x[/tex], take out the common factor [tex]3x[/tex]:

[tex]\implies3x(x-4)[/tex]

Therefore, x = 0 and x = 4

- - - - - - - - -

[tex]3x^2-12x[/tex]  factorised in the form (x+b)(x-b) would be [tex](3x+0)(x-4)[/tex]

but it is not usual to have a zero in a factorised form.

The amount he will get on that day = the guaranteed wage + the amount of table he waits x 14

So, Marques expect to make 25 + 14 x 17 = 25 + 238 = $263

Answer:

the house is worth 201587 after 10 years.

Step-by-step explanation:

after the first year, the value is 154500.

after the second, 159135.

after the third, 163909.

after the fourth, 168826.

after the fifth, 173891.

after the sixth, 179108.

after the seventh, 184481.

after the eighth, 190015

after the ninth, 195716.

after the tenth, 201587.

The total minimum credit card payment of Jimmy's credit card bill which he wants to pay as New Year's resolution is $449.24.

Interest is the amount charged on the principal amount with a fixed rate of interest for a time period.

As a New Year's resolution, Jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months.

The balances and annual percentage rates for Jimmy's credit cards is,

Credit Card Current Balance        APR

A $563. 00 16%                            a. $321. 83

B $2,525. 00 21%                         b. $361. 45

C $972. 00 19%                            c. $374. 65

D $389. 00 17%                            d. $411. 25.

The monthly payment for credit car A is,

[tex]P_m=\dfrac{563}{{[1-(1+\dfrac{0.16}{12})]}^{\dfrac{-12}{0.16/12}}}\\P_m=51.08[/tex]

The total monthly payment is,

[tex]P_t=51.08\times12\\P_t=612.96[/tex]

Now, the charge of interest is,

[tex]I=612.96-563\\I=49.96[/tex]

Similarly, for credit card B is interset charge is $296.32 and for C is $102.96.

Thus, the total interest charge is,

[tex]I=46.96+296.32+102.96\\I=449.24[/tex]

Thus, the total minimum credit card payment of Jimmy's credit card bill which he wants to pay as New Year's resolution is $449.24.

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Answer:

40 hollow blocks

Step-by-step explanation:

12/3= 4 hollow blocks per hour

10x4=40 hollow blocks in 10 hours

Answer:

y = 3/2x - 8  hope I helped

Step-by-step explanation:

To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).

2y = 3x + 10  --> almost there already, just divide everything by 2 to get y by itself.

y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2

They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.

Now we know that our slope is m = 3/2 and our point is (2, -5)

You can always find the equation of a line using the Point-Slope Formula:

y - y1 = m(x - x1)    --> our x1 is 2 and our y1 is -5, and slope is 3/2

y - (-5) = 3/2(x - 2)   --> Be careful when you have minus a negative number, like we do here. It becomes:

y + 5 = 3/2(x - 2)  --> now distribute the 3/2

y + 5 = 3/2x - 6/2

y + 5 = 3/2x - 3  --> now we can subtract 5 from both sides to get it into slope intercept form.

y = 3/2x - 8  --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)

Step-by-step explanation:

(a) use surface area formula of cylinder that is for Lateral surface area and for total surface area

LSA= 2πrh

TSA= 2πr(h+r)

(b) volume of cylinder= πr^2h

..........

Answer:

It will take him 6.25 hours to earn $225

Step-by-step explanation:

225 ÷ 36 = 6.25

6.25 = 6 1/4

You are dividing the total amount of money needed to be earned ($225) by the amount of money he gets paid every hour ($36) to get the number of hours it will take him to earn the amount of money he wants to earn.

Hope this helps!

Answer:

25 hours / 1 day and 1 hour

Step-by-step explanation:

Rm36 ÷ 4 hours = 1 hour Rm9

Rm225 ÷ 9 hours = 25 hours

Please give me brainliest ;)

Answer: 2/3

Step-by-step explanation:

The numbers which are either a multple of a 3 or an even number (or both) are: 2, 3, 4, 6, 8, 9, 10, 12, 14, 15

There are 10 numbers in total which satisfy the conditions.

There are 15 total possiblities which could occur.

Therefore, the probablity is 10/15 which can be reduced to 2/3

Answer:

B

Step-by-step explanation:

If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs do not classify the relationship as a function.

Answer:

D is Function and A, B and C are Non-Function

Step-by-step explanation:

If we looked at A, B and C we will see that X has the same values.

Rules: Function should always have different X values.

The Z-score of an employee making an annual salary of $28000 is -1.5.

It is given that,

Mean μ = $34000

Standard deviation σ = $4000

Salary x = $28000

Z-score is a numerical measurement that describes a value's relationship to the mean of values.

Formula to calculate z-score = (x - μ)/σ

So, z-score = (28000-34000)/4000z = -1.5

Therefore, the z-score of an employee making an annual salary of $28000 is -1.5.

To get more about z-score, refer to the link:

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Answer:

Hello lovely person! Welcome to Brainly! <3

Your answer will be 5x + 8 = 9

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

Step-by-step explanation:

By the vertical angle theorem which states that angle opposite to each other is equal, we know the whole angle opposite to the angle that is 90 degrees (since it has a little square on the angle) is also ninety degrees.

However, that angle is split into two more angles one that is 22 degrees and the other being x degrees. Yet both of them added up equal to 90 degrees.

Thus we get the equation:

x + 22 = 90

x = 68 degrees

Hope that helps!

Answer:

68°

Step-by-step explanation:

Each sides is 90°

therefore, 22° - 99°

= 68°

Answer:

y = 8

Step-by-step explanation:

12 x 2 is 24, so I'm assuming y is also times 2. 4 x 2 is 8

Answer:

8

Step-by-step explanation:

4:12

y:24

4:12=y:24

4/12=y/24

24x4/12

96/12

8

Answer:

119 yds and 76 yds

Step-by-step explanation:

area of 1st rect = 9000 yd^2

perimeter = 2(75+120)= 2*195=390

perimeter of 2nd rectangle = 390

l+b = 390/2= 195

the minimum l of 2nd rectangle = 119

min b of 2nd rectangle = 76

119*76 =9044

Answer:

v=lxbxh

v=5x5x5

v=125cm

volume b

v=lxbxh

v=5x5x5

v=125cm

volume A+volume B

125+125=150

Step-by-step explanation:

you find the first one first then you find the second one then you add

Answer:

First cube

[tex] = {125}^{3} [/tex]

second cube

[tex] = {125}^{3} [/tex]

125 +125=250

Step-by-step explanation:

The formulas to find the volume of a cube are:

V = s3, where s is the edge length of the cube.

[tex]v = 5 \times 5 \times 5 = {125}^{3} [/tex]

Answer:

70x-100=850 

Step-by-step explanation:

70x-100=850

We move all terms to the left:

70x-100-(850)=0

We add all the numbers together, and all the variables

70x-950=0

We move all terms containing x to the left, all other terms to the right

70x=950

x=950/70

x=13+4/7

Answer:

[tex]x=3.099566703 \textsf{ (9 dp)}[/tex]

Step-by-step explanation:

Newton-Rhapson method

This iterative method finds roots of equations in the form f(x) = 0 when an equation cannot be solved using the usual analytical methods

This method works by finding the tangent to a function at a point [tex]x_0[/tex], and using its x-intercept for the next iteration, [tex]x_1[/tex].  Repeating the process iteratively gets you closer to the root.

Newton-Rhapson formula

[tex]x_{n+1}=x_n-\dfrac{f(x_n)}{f'(x_n)}[/tex]

Given function:

[tex]f(x)=4x^3-15x^2+10x-6=0[/tex]

First check that the function is in the form f(x) = 0 ← yes!

(if it is not, rearrange it so that it is equal to zero)

Now differentiate the function:

[tex]f'(x)=12x^2-30x+10[/tex]

Substitute the function and its derivative into the N-R formula:

[tex]x_{n+1}=x_n-\dfrac{4{x_n}^3-15{x_n}^2+10{x_n}-6}{12{x_n}^2-30{x_n}+10}[/tex]

To determine which value to set as [tex]x_0[/tex] examine the function.

[tex]f(x)=4x^3-15x^2+10x-6[/tex] is a cubic function with a positive leading coefficient.

Therefore, its endpoint behavior is:

[tex]f(x) \rightarrow \infty \textsf{ as } x \rightarrow \infty\\f(x) \rightarrow -\infty \textsf{ as } x \rightarrow -\infty[/tex]

Its y-intercept is (0, -6)

It's turning points are when [tex]f'(x)=0[/tex]

Therefore, using the quadratic formula, its turning points are:

[tex]x=\dfrac{-(-30)\pm\sqrt{(-30)^2-4(12)(10)}}{2(12)}=\dfrac{15\pm\sqrt{105}}{12}[/tex]

Sketching the graph (see attached) suggests that the x-intercept will be when:

[tex]x > \dfrac{15+\sqrt{105}}{12}[/tex]

[tex]\implies x > 2.1039...[/tex]

Let's start with inputting values of x = 3 and x = 4 into the function:

[tex]f(3)=4(3)^3-15(3)^2+10(3)-6=-3\\f(4)=4(4)^3-15(4)^2+10(4)-6=50[/tex]

The x-intercept will be between values where there is a change in sign.  As there is a change in sign between f(3) and f(4), the root is [tex]3 < x < 4[/tex]

Therefore, let [tex]x_0=3[/tex]

[tex]\implies x_{1}=x_0-\dfrac{4{x_0}^3-15{x_0}^2+10{x_0}-6}{12{x_0}^2-30{x_0}+10}[/tex]

[tex]\implies x_{1}=3-\dfrac{4(3)^3-15(3)^2+10(3)-6}{12(3)^2-30(3)+10}=\dfrac{87}{28}[/tex]

[tex]\implies x_{2}=x_1-\dfrac{4{x_1}^3-15{x_1}^2+10{x_1}-6}{12{x_1}^2-30{x_1}+10}=3.099605842...[/tex]

[tex]\implies x_{3}=x_2-\dfrac{4{x_2}^3-15{x_2}^2+10{x_2}-6}{12{x_2}^2-30{x_2}+10}=3.099566704...[/tex]

[tex]\implies x_{4}=x_3-\dfrac{4{x_3}^3-15{x_3}^2+10{x_3}-6}{12{x_3}^2-30{x_3}+10}=3.099566703...[/tex]

[tex]\implies x_{5}=x_4-\dfrac{4{x_4}^3-15{x_4}^2+10{x_4}-6}{12{x_4}^2-30{x_4}+10}=3.099566703...[/tex]

Therefore, [tex]x=3.099566703 \textsf{ (9 dp)}[/tex]

Answer:

7% discount

Step-by-step explanation:

The discounted amount is $2.31 incase you needed that too

∠1+∠7=180°

7x+8+10x+2=180

17x+10=180

17x=170

x = 10

Answer:

ad 25

Step-by-step explanation:

then your get together

Answer:

The height of building is 21 m

Step-by-step explanation:

According to the Pythagorus Theorem

(Hypotenuse)² = (Base)² + (Perpendicular)²

We need to find out the perpendiclar so arranging the equation

(Hypotenuse)² - (Base)² =  (Perpendicular)²

Putting the values

(36)² - (29)² = (Perpendicular)²

1296 - 841 = (Perpendicular)²

455 = (Perpendicular)²

Taking Square root on both sides

√455 = √(Perpendicular)²

21.33 = Perpendicular

Rounding off the value is 21 m

Answer:

In short: 29 rounded to the nearest ten is 30.

Step-by-step explanation:

Locate  the tens place (2) then look at the digit to the right (9): In this case, the digit to the right (9) is 5 or above. So, we add 1 to the tens place (2).The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 30 as the answer.

Answer:

1/12

Step-by-step explanation:

probability of rolling a 5 is 1/6

probability of rolling an even number is 3/6 that simplified is 1/2

-Multiply 1/6 by 1/2 and you get 1/12

Answer:

x + 13 / x + 17

Step-by-step explanation:

x - 4 / x

x + 13 / x + 17

Answer: It

should be about 1.5 years

Step-by-step explanation:

1.143 years must the person leave the money in the bank until it reaches 10500 dollars.

Interest, in its most simple form, is calculated as a percent of the principal.

For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.

We have,

Interest amount= $8000

R= 6.5%

Time= t

Total amount= $10, 500

So, A = P(1 + r/n[tex])^{nt[/tex]

10,500 = 8000 (1+ 0.065/4[tex])^{4t[/tex]

1.3125 =  (1.01625[tex])^{4t[/tex]

Taking log both side

log (1.3125) = 4t log(1.06125)

4t = 4.574

t= 1.143 years

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Answer:

It should be 71

Step-by-step explanation:

every triangles equals to 180

so 180 - 38 - 71 = 71

Answer:

24

Step-by-step explanation:

Here is how you do this

If there is 20 yellow sweets, and for every 5 yellow you have 6 pink you need to divide 20/5 (4)
then you would do 6*4 which would be 24

Answer:

24

Step-by-step explanation:

There are 5 yellow candies for every 6 candies.

5x4 is 20, and we know there are 20 yellow candys (The 5 in the multiplication problem being the 5 yellow candies for every 6 candies.).

So, then I multiplied 6x4 to get 24. This may not always work but it is a (I believe) a proportional relationship.