log (w2+21) - log (10)

Step-by-step explanation:

V = Bh applies for :

1. the volume of prism

2. the volume of cylinder

V = Bh doesnt apply for :

1. the volume of pyramid

2. the volume of cone

The two solids where the formula V = bh applied is are prism volume, and cylinder volume. And, where the formula V = Bh does not apply is pyramid volume and cone volume

(1) Applied of formula V = Bh is :

(1) Not Applied of formula V = Bh is :

Learn more about the solid here: https://brainly.com/question/20784784

Answer: The vertical line on a graph representing the vertical coordinate points.

Answer:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.

Step-by-step explanation:

Answer:

Part a

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

Step-by-step explanation:

Part a)

Predictor variable is basically independent variable whose influence is studied on the  dependent variable or the outcome variable

Predictor variable -  age of drivers

Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers

Part b

Predictor variable -  Number of family members

Outcome variable - weekly grocery bill

Answer:

x =  − 4  ±  √ 10,

Step-by-step explanation:

2(x + 4)² = 20

=> 2(x + 4)  (x + 4) = 20

=> 2x + 8 (x + 4) = 20

=> 2x² + 8x + 8x + 32 = 20

=> 2x² + 16x + 32 = 20

=> 2x² + 16x + 12 = 0

=> Now solve using the quadratic formula:

x =  − 4  ±  √ 10,

Radical form: − 4  ±  √ 10,

Decimal form: -0.84, -7.16

Hope this helps!

Answer:

Volume = [tex]\frac{64}{3}[/tex]

Step-by-step explanation:

Given - Consider the solid S described below. The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the x-axis are squares.

To find - Find the volume V of this solid.

Solution -

Given that,

The equation of the line with both x-intercept and y-intercept as 4 is -

[tex]\frac{x}{4} + \frac{y}{4} = 1[/tex]

⇒x + y = 4

⇒y = 4 - x

Now,

Volume = [tex]\int\limits^a_b {A(x)} \, dx[/tex]

where

A(x) is the area of general cross-section.

It is given that,

Cross-sections perpendicular to the x-axis are squares.

So,

A(x) = (4 - x)²

As solid lies between x = 0 and x = 4

So,

The Volume becomes

Volume = [tex]\int\limits^4_0 {(4 - x)^{2} } \, dx[/tex]

             = [tex]\int\limits^4_0 {[(4)^{2} + (x)^{2} - 8x] } \, dx[/tex]

             = [tex]\int\limits^4_0 {[16 + x^{2} - 8x] } \, dx[/tex]

             = [tex]{[16 x + \frac{x^{3}}{3} - \frac{8x^{2} }{2} ] } ^4_0[/tex]

             = [tex]{[16(4 - 0) + \frac{4^{3}}{3} - \frac{0^{3}}{3} - 4 [4^{2} - 0^{2}] ] }[/tex]

             = [tex]{[16(4) + \frac{64}{3} - 0 - 4 [16 - 0] ] }[/tex]

             = [tex]{[64 + \frac{64}{3} - 64 ] }[/tex]

             = [tex]\frac{64}{3}[/tex]

⇒Volume = [tex]\frac{64}{3}[/tex]

Answer:

44.95+x <= $250

Step-by-step explanation:

its the second option

she spent $44.95 on the 2 books she already bought. if x represents what she has left to spend, the total has to be LESS THAN or EQUAL TO $250 when they're added, so the second option is correct.

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

Answer:

It's just negative, just enter this sign -

Step-by-step explanation:

The coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]

"The coordinates of any point on the circle [tex]x^{2}+ y^{2}= r^{2}[/tex] are [tex](r~cos\theta,r~sin\theta)[/tex]"

sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

For given question,

We need to find the coordinates of the point on the unit circle at an angle -135°

We know, for unit circle radius = 1

So, the coordinates of any point on the unit circle would be [tex](cos\theta, sin\theta)[/tex]

Here, [tex]\theta=-135^{\circ}[/tex]

Now, we find the the value of [tex]sin(-135^{\circ}),~cos(-135^{\circ})[/tex]

[tex]sin(-135^{\circ})\\\\=-sin(135^{\circ})\\\\=-sin(180^{\circ}-45^{\circ})\\\\=-[sin(180^{\circ})cos(45^{\circ})-cos(180^{\circ})sin(45^{\circ})]\\\\=-[0\times \frac{1}{\sqrt{2} }-(-1)\times \frac{1}{\sqrt{2} } ]\\\\=-(0+\frac{1}{\sqrt{2} } )\\\\=-\frac{1}{\sqrt{2} }\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\\\\=-\frac{\sqrt{2} }{2}[/tex]

and cos(-135°) would be,

[tex]cos(-135^{\circ})\\\\=cos(135^{\circ})\\\\=cos(180^{\circ}-45^{\circ})\\\\=cos(180^{\circ})sin(45^{\circ})+sin(180^{\circ})sin(45^{\circ})\\\\=((-1)\times \frac{1}{\sqrt{2}} )+(0\times \frac{1}{\sqrt{2} }) \\\\=-\frac{1}{\sqrt{2} }+0\\\\ =-\frac{1}{\sqrt{2}}\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2}\times \sqrt{2}}\\\\=-\frac{\sqrt{2} }{2}[/tex]

Therefore, the coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]

Learn more about the coordinates of the point on the unit circle here:

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Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3/4 * 8 is really easy but.....

you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.

Answer:

6

Step-by-step explanation:

First you have to set it up 3/4 * 8/1

then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.

Answer:

b = 737

Step-by-step explanation:

b - 326 = 411

  + 326 +326

b = 737

Answer:

b = 411 - 326

b = 85

I hope this will be helpful

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

Answer:

-1

Step-by-step explanation:

first put the equation in slop int form:

y= x-6

to find the slope of a line that is perpendicular take the negative reciprical of the slope

so the answer is

-x

Answer:

9927.5$

Step-by-step explanation:

4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.

Answer:

wefwdwddwd

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total interest on the loan will be $457,412,82892.

Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.

We can find the total interest on loan, using the formula -

I = {P(1 + APR/100)^t − P}

The principal amount of loan = $220,000

Compound APR = 3.82%

Time = 30 years

Using the formula, we get -

220,000[1 + 0.0382]^30−220,000

220000{[1 + 0.0382]^30 - 1}

$457,412,82892

Therefore, the total interest on the loan will be $457,412,82892.

To solve more questions on mortgage loans, visit the link below -

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Answer:

382

Step-by-step explanation:

Just add all of them and 1 hour equals 60 mins

First, lets add the hours.

1 hour + 1 hour + 1 hour = 3 hours

Now, let's add the minutes,

42 minutes + 32 minutes + 38 minutes + 30 minutes = 142 minutes

1 hour = 60 minutes

How many grouped 60's are there in 142? There are 2 full 60s in 142 minutes.

2 60s = 120 minutes

Add 2 hours, but subtract 120 minutes.

142 minutes - 120 minutes = 22 minutes

So, the final answer is 5 hours and 22 minutes.

If this helps, please mark brainliest!

Have a wonderful day!

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  [tex]\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60[/tex]

So, the sum can be written as ...

  [tex]\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}[/tex]

_____

It appears that the key to choosing the correct answers is paying attention to signs.

Answer: Step number 2 is 287,980

Step-by-step explanation:

Just did the assignment.

Answer:

b

Step-by-step explanation:

Answer:

7,548,400

Step-by-step explanation:

Answer:

7. 84 feet

9. 12320 yd

11. 30 inches

12. 26400 ft

13. 19 ft

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

14.4 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 36 m

Height of building (H) = 33 m

Length of shadow (L) =?

The length of the shadow can be obtained as follow:

Hypothenus² = H² + L²

36² = 33² + L²

1296 = 1089 + L²

Collect like terms

1296 – 1089 = L²

207 = L²

Take the square root of both side

L = √207

L = 14.4 m

Therefore, the length of the shadow is 14.4 m

Answer:

0.75 or... 3/4 of a cup

Step-by-step explanation:

If helpful please give me brainliest.

Answer:

13.50 (12 servings)

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

13 × 2 = 26

Step 2: Add the product you got in Step 1 to the numerator:

26 + 1 = 27

Step 3: Divide the sum from Step 2 by the denominator:

27 ÷ 2 = 13.5

That's it folks! The answer to 13 1/2 in decimal form is displayed below:

13 1/2 =

Answer:

373.8

Step-by-step explanation:

Answer:

H0 : σ = 0.5

H0 : σ < 0.5

Step-by-step explanation:

From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.

Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.

H1 : σ < 0.5 ;

Therefore, our null will be ;

H0 : σ = 0.5

Answer:

74

Step-by-step explanation:

Supplement means whatever number added up to 180

For example:

60 and 120 are supplements since they add up to 180

Answer:

 180

- 106

---------

  74