A dump truck has a 10 foot bed. When tilted at its maximum angle, the bed reaches a height of 7 feet above it original position. What is the maximum angle that the truck bed can tilt?

Answer:

B. 13

Step-by-step explanation:

Flower Power Day Number of Flowers median = 37

Rose in the Hand Day Number of Flowers median = 50

50 - 37 = 13

Answer:

its quite simple...

the formula to find volume= width x height x length ( or area x length)

Step-by-step explanation:

of A

of B

length of whole prism= 4

Volume (A)= w x h x l

                 =  5 x 9 x 4

                = 180 cm³

volume (B)= w x h x l

                = 3 x 2 x 4

                = 24 cm³

add both values to get the volume of whole prism = 180 + 24

                                                                                    = 204 cm³

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

Learn more about uniform probability distribution at

https://brainly.com/question/20411994

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Answer:

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

Step-by-step explanation:

The solution is,

a. m<A = 35°

b. m<CBD = 61°

c. m AD is  sin55 = AD/40     AD = 32.77

d. m BC is sin 29 = 22.94/BC   BC = 47.32

e. m CD is tan 29 = 22.94/CD    CD = 41.38

f. m BD is cos 55 = BD/40    BD = 22.94

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

a) ∠D = 90

i.e.  ∠A= 90 - 55 = 35

b)  similarly,

∠CBD = 90-29

          =61

c) m AD is  sin55 = AD/40

i.e.  AD = 32.77

d) m BC is sin 29 = 22.94/BC  

i.e.  BC = 47.32

e)  m CD is tan 29 = 22.94/CD    

   i.e. CD = 41.38

f) m BD is cos 55 = BD/40  

  i.e. BD = 22.94

To learn more on angle click:

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Answer:

RS=5 TRUE

RS=4 FALSE (it’s 5)

ST=10 FALSE (it’s 8)

QR=4 FALSE (its 3)

Step-by-step explanation:

First, we have to determine the sides of the triangle.

4x-3=2x+1

4x-2x=1+3

2x=4

x=2

SO, RS=4x-3=4(2)-3=8-3=5

RT=2(x)+1=2(2)+1=5

QR=4²+b²=5².    16+b²=25.    b²=25-16.    b²=9.     b=3

CLAIMS:

RS=5 TRUE

RS=4 FALSE (it’s 5)

ST=10 FALSE (it’s 8)

QR=4 FALSE (its 3)

Answer:

x² is HCF (Height common factor)

Step-by-step explanation:

Given:

x² , x³

Find:

HCF (Height common factor)

Computation:

HCF (Height common factor) is uused to find Height common factor from the given numbers.

x² , x³

Takling x² as common

x² (1 , x)

So,

x² is HCF (Height common factor)

Answer: $20 <= X < = $21

Step-by-step explanation:

According to the question, you are told that he loses by going over $21 or by buying all items and being less than $20.

That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.

If Mikel buys six bottles of shampoo, let x represent the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,

$20 <= X < = $21

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term  a = -15

Common difference [d] = second term - first term

                                  = -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

                = -15 + 34 * 4

                = - 15 + 136

                = 121

Answer:

121 and 257

Step-by-step explanation:

So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].

Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].

Answer:f

Step-by-step explanation:

Answer: 31 degrees

Step-by-step explanation:

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

The graph is missing; however, the question can still be solved

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

[tex]y = mx + b[/tex]

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

[tex]47.84 = 1.55 * 15 + b[/tex]

[tex]47.84 = 23.25 + b[/tex]

Subtract 23.25 from both sides

[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]

[tex]24.59 = b[/tex]

[tex]b = 24.59[/tex]

Solving for the monthly cost for 9 HCF

Here, we have that

[tex]x = Amount\ of\ water = 9[/tex]

[tex]m = Slope = 1.55[/tex]

[tex]b = 24.59[/tex]

Substitute these values in the linear function; [tex]y = mx + b[/tex]

[tex]y = 1.55 * 9 + 24.59[/tex]

[tex]y = 13.95 + 24.59[/tex]

[tex]y = 38.54[/tex]

Hence, the monthly cost for 9 HCF is $38.54

Hi there! Hopefully this helps!

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0.77 as a fraction is 77/100.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.2904 as a fraction is 2904⁄10000 unsimplified. (Simplified would be 363⁄1250)

Answer:

8a) 0.2904=363/1250

8b) 0.77=77/100

Step-by-step explanation:

square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.

Answer:

perimeter of a cuboid is 4(L+B+H).

so, L=1m, B=0.4m,H=0.8m

substituting by formula,

4(1+0.4+0.8)

= 4(2.2)

=8.8

AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m

Step-by-step explanation:

HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST

Answer:

3.04 m^2

Step-by-step explanation:

Answer:

B. 1 must be a root of the polynomial 3x^2+x-4

Step-by-step explanation:

Given polynomial

3x^2+x-4

Divided by factor x-1

Gives a remainder of 0

Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4

If x-1 is a factor of the polynomial, we can equate x-1 to 0

x-1=0

Solve for x to get one of the roots

x-1=0

Add 1 to both sides

x-1+1=0+1

x=1

B. 1 must be a root of the polynomial 3x^2+x-4

Answer:

y=x+-2

Step-by-step explanation:

Slope intercept form is y=mx+b

I plugged in the slope for m and y-intercept for b

sorry i did this real fast because it sounded urgent :)

Answer:

The answer is [tex]-\frac{31x^2}{10}[/tex]- 6x+7

Hope this helps!

Answer:

-7j-k-1

Step-by-step explanation:

10k + 17 - 7j -18 -11k

10k-11k

-1k

17-18

-1

-7j-k-1

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

Answer:

80 x 62.5% is 50.

Step-by-step explanation:

Answer:

7.06

Step-by-step explanation:

17/8 = 15/DF

DF = 7.06

Answer:

5 x 7^0 = 35

or

5 x 7 = 35

Step-by-step explanation:

Plz mark brainliest

Answer:

y=MX+b

Step-by-step explanation:

b is your y intercept

m is your slope

Answer:

so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!

Answer:

hope it helps

Step-by-step explanation:

-3.75 , root8 , 9/4 , 3

Answer:

Andy

Step-by-step explanation:

Let's say that x is Andy's speed, and d is the distance he traveled.

The time it takes Andy to reach his friend is d/x.

The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.

The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).

The total time is d/x + d/(10x) = 1.1 d/x.

It takes Ashley 1.1 times longer to reach the friend.  Andy gets there first.

Answer:

[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

for any real x different from 1

[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]

if f(x)=2x

   f'(x)=2

if g(x)=-ln(1-x)

   [tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]

So antiderivative of

[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]

Is

2x-ln(1-x)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

(C)1 out of 5,005

Step-by-step explanation:

There are a total of 15 student friends.

Monica wants to invite 6 of her friends.

The number of ways this can be done is:

[tex]^{15}C_6=\dfrac{15!}{(15-6)!6!} \\=\dfrac{15!}{9!6!}\\\\=5005[/tex]

Therefore, the probability that friends Tessa, Guido, Brendan, Faith, Charlotte and Rhianna are chosen

[tex]=\dfrac{1}{5005}[/tex]

Answer:

domain: x cant be equal to 3.75

Step-by-step explanation:

I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.

Anyway, here are my calculations. If the help you somehow to solve the question - great!

If not,srry to disappoint you

Answer:

a. [tex]-( 4\sqrt{3} + 3)[/tex]

b.  [tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]

c.  [tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]

d. [tex]45 + 12\sqrt{5y} + 4 y[/tex]

e. [tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]

Step-by-step explanation:

a.

[tex]\sqrt{12} - \sqrt{108} - \sqrt[3]{27}[/tex]

Expand each expression

[tex]\sqrt{4*3} - \sqrt{36 * 3} - \sqrt[3]{3*3*3}[/tex]

Split the first two surds

[tex]\sqrt{4}*\sqrt{3} - \sqrt{36} * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]

Apply law of indices

[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3^3}[/tex]

Apply law of indices

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{3*\frac{1}{3}}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{1}[/tex]

[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3[/tex]

[tex]2\sqrt{3} - 6\sqrt{3} - 3[/tex]

[tex]- 4\sqrt{3} - 3[/tex]

Factorize

[tex]-( 4\sqrt{3} + 3)[/tex]

The expression cannot be further simplified

b.

[tex](\frac{x^{\frac{-3}{4}}y^{\frac{2}{3}}}{x^{\frac{-1}{3}}y^{\frac{-5}{8}}})[/tex]

Expand the expression

[tex](\frac{x^{\frac{-3}{4}} * y^{\frac{2}{3}}}{x^{\frac{-1}{3}} * y^{\frac{-5}{8}}})[/tex]

Apply the following law of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

[tex]x^{{\frac{-3}{4} - \frac{-1}{3}}} * y^{{\frac{2}{3} - \frac{-5}{8}}}}[/tex]

[tex]x^{{\frac{-3}{4} + \frac{1}{3}}} * y^{{\frac{2}{3} + \frac{5}{8}}}}[/tex]

Add the exponents

[tex]x^{\frac{-9+4}{12}} * y^{{\frac{16+15}{24}}}}[/tex]

[tex]x^{\frac{-5}{12}} * y^{{\frac{31}{24}}}}[/tex]

[tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]

The expression cannot be further simplified

c.

[tex]\frac{8}{\sqrt{x} - \sqrt{5}}[/tex]

Rationalize the denominator

[tex]\frac{8}{\sqrt{x} - \sqrt{5}} * \frac{\sqrt{x} + \sqrt{5}}{\sqrt{x} + \sqrt{5}}[/tex]

[tex]\frac{8(\sqrt{x} + \sqrt{5})}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]

Simplify the numerator

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]

Simplify the denominator by difference of two squares

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{\sqrt{x}^2 - \sqrt{5}^2}[/tex]

[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]

The expression cannot be further simplified

d.

[tex](3\sqrt{5} + 2\sqrt{y})^2[/tex]

Expand the expression

[tex](3\sqrt{5} + 2\sqrt{y})(3\sqrt{5} + 2\sqrt{y})[/tex]

Open the bracket

[tex]3\sqrt{5} (3\sqrt{5} + 2\sqrt{y})+ 2\sqrt{y}(3\sqrt{5} + 2\sqrt{y})[/tex]

Open both brackets

[tex]3\sqrt{5} *3\sqrt{5} + 3\sqrt{5}*2\sqrt{y}+ 2\sqrt{y}*3\sqrt{5} + 2\sqrt{y}*2\sqrt{y}[/tex]

[tex](3\sqrt{5} *3\sqrt{5}) + (3\sqrt{5}*2\sqrt{y})+ (2\sqrt{y}*3\sqrt{5}) + (2\sqrt{y}*2\sqrt{y})[/tex]

Multiply each expression in the bracket

[tex](3*3\sqrt{5*5}) + (3*2\sqrt{5*y})+ (2*3\sqrt{5*y}) + (2*2\sqrt{y*y})[/tex]

[tex](9\sqrt{25}) + (6\sqrt{5y})+ (6\sqrt{5y}) + (4\sqrt{y^2})[/tex]

Solve like terms

[tex](9\sqrt{25}) + (12\sqrt{5y}) + (4\sqrt{y^2})[/tex]

Take square root of 25 and y²

[tex](9 * 5) + (12\sqrt{5y}) + (4 * y)[/tex]

[tex](45) + (12\sqrt{5y}) + (4 y)[/tex]

Remove the brackets

[tex]45 + 12\sqrt{5y} + 4 y[/tex]

The expression cannot be further simplified

e.

[tex]-\sqrt{\frac{3}{5x}}[/tex]

This expression can not be simplified; However, it can be rewritten, by applying law of indices as

[tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]

Answer:

9 tomato and 23 radish

Step-by-step explanation:

r - number of radish seeds

t - number of tomato seeds

$1.75r + $2.50t = $62.75

1.75 (23) + 2.50 (9) = 62.75

40.25 + 22.5 = 62.75

$62.75 = $62.75

The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.

Hope that helps.

Answer:

9 tomato and 23 radish

Step-by-step explanation: