simplify 2.5a–7–6.8a+11.1

Answer:

Step-by-step explanation:

7/5 + 3/4 x 2/5 - 3/2

 7/5 + 3/10 - 3/2

    17/10 - 3/2

         1/5

Step-by-step explanation:

Here, the given polynomial are,

=7/5+3/4×2/5-3/2

multiplying 3/4 and 2/5

= 7/5+6/20-3/2

taking LCM and adding them.

=(7×4+6×1-3×10)/20

by simplifying it we get, the answer is 1/5.

Hope it helps..

Answer:

3.716 m²

Step-by-step explanation:

10⁻² = 0.01, so 9.29 x 0.01 = 0.0929

multiple 0.0929 by 40 to get 3.716 m²

x² - 8x + 12 = 0

First of all we need to find the roots

Δ = b² - 4.a.c

Δ = (-8)² - 4 . 1 . 12

Δ = 64 - 4. 1 . 12

Δ = 16

Has 2 real roots

x = (-b +- √Δ)/2a

x' = (--8 + √16)/2.1    

x'' = (--8 - √16)/2.1

x' = 12 / 2    

x'' = 4 / 2

x' = 6    

x'' = 2

So our equation can be solved with x = 6 and x = 2, therefore we can create two other equations with the same roots

x - 6 = 0

and

x - 2 = 0

Answer:

(x – 4)2 = 4

Step-by-step explanation:

Answer:

Mars

Step-by-step explanation:

America

Answer:

-2 is a zero of the polynomial. 2 is not a zero of the polynomial.

Step-by-step explanation:

A value of x is a zero of a polynomial if when it is substituted for x in the polynomial, it makes the polynomial evaluate to zero.

The polynomial is x + 2

Let x = -2:

x + 2 = -2 + 2 = 0

-2 is a zero of the polynomial.

Let x = 2:

x + 2 = 2 + 2 = 4

2 is not a zero of the polynomial.

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

Answer:

The correct option is (C).

Step-by-step explanation:

The exponential function representing decay is as follows:

[tex]y=y_{0}\cdot e^{kt};\ k<0[/tex]

Here,

y = final value  

y₀ = initial value  

k = growth rate  

t = time passed

The graph represents exponential decay is:

"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."

Thus, the correct option is (C).

Answer:

The answer is C

Step-by-step explanation:

I  just took the test on edge

Answer:

10,341

Step-by-step explanation:

[tex]S_{n}=\frac{n}{2} (a_1}+a_{n})\\S_{54}=\frac{54}{2} (6+377)=27 \times 383=10,341[/tex]

Answer:

= A

explanation :

Answer:

[tex]\sqrt{x-4} +5[/tex]

Step-by-step explanation:

the conjugate of [tex]\sqrt{x-4} -5[/tex]  is the term that completes a²-b² when multiplied by each other

a²-b² = (a+b)(a-b)

Answer:

HI = 13

Step-by-step explanation:

The triangle that is shown is a 45-45-90 triangle, so we know that GH = GJ = 9 and IJ = 13, we are able to solve for HI.

Technically, IJ = HI, since both triangles are congruent. Both IJ and HI will be 13.

Answer:

Refeect circle A over the the y line = x

Step-by-step explanation:

Answer: C) For every original price, there is exactly one sale price.

For any function, we always have any input go to exactly one output. The original price is the input while the output is the sale price. If we had an original price of say $100, and two sale prices of $90 and $80, then the question would be "which is the true sale price?" and it would be ambiguous. This is one example of how useful it is to have one output for any input. The input in question must be in the domain.

As the table shows, we do not have any repeated original prices leading to different sale prices.

Answer:

C STAY SAFE!!!

Step-by-step explanation:

Ok we know this cant be A the reason is It says tha the original price is increasing so thats FALSE... its trying to trick you so no

The second choice says The sale price is always less than the original price. well take a look at the sale prices are they? Obiously not so False

Ok the third option For every original price, there is exactly one sale price. well this is true ask yourself each it helps.

Last option The sales price is never less than zero. erm   FALSE OBIOUSLY THIS IS TRUE JUST NOT TRUE ITS WRONG        

THE ANSER IS C

Answer:

Yes, because the four points in the upper right corner from the same pattern as the four points in the lower left corner.

Step-by-step explanation:

The correlation coefficient for the points in the lower left corner equals zero.

The four points in the upper right corner have the same correlation coefficient because the four points in the upper right corner from the same pattern as the four points in the lower left corner.

Answer:

18.9 units of fencing

Step-by-step explanation:

First find the perimeter

P = 2(l+w)

P = 2( 2.5+1.28)

P = 2( 3.78)

P =7.56m

We need 2.5 units of fencing for each meter

Multiply by 2.5

7.56*2.5

18.9 units of fencing

Answer:

Julio needs to purchase 18.9 units of fencing.

Step-by-step explanation:

I meter of the perimeter accounts for 2.5 units of fencing. Respectively 2 meters account for 2 times as much, and 3 meters account for 3 times as much of 2.5 units. Therefore, if we determine the perimeter of this rectangular garden, then we can determine the units of fencing by multiplying by 2.5.

As you can see this is a 2.5 by 1.28 garden. The perimeter would be two times the supposed length, added to two times the width.

2.5 x 2 + 1.28 x 2 = 5 + 2.56 = 7.56 - this is the perimeter. The units of fencing should thus be 7.56 x 2.5 = 18.9 units, or option d.

Answer:

20.8 hours

Step-by-step explanation:

2 3/5 = 2.6.The painter will take (2.6 × 8) = 20.8 hours to paint a wall.

Hope this helps and pls mark as brianliest :)

Answer:

20.8, 20 4/5, and 104/5

Answer:

c

Step-by-step explanation:

im not too sure

Answer:

He spends $1.20 Which means he has $4.80 remaining.

Step-by-step explanation:

1/5 of 6 is 6/1 multiplied by 1/5 and that is 6/5 or 1 1/5

1/5 of a dollar is 20 cents. he has $1.20

6-1.20=4.80.

Answer:

[tex]4.80 => Answer[/tex]

Step-by-step explanation:

Use the information given.

1/5 of 6 is equal to 6/5

6/5 = 1.2

Now subtract.

[tex]6-1.2= 4.8[/tex]

So the answer is 4.80 or 4.8

Hope this helps! :)

By: ❤️BrainlyMagic❤️

Brainliest would be appreciated!

Answer:

5 and 1 over 6

Step-by-step explanation:

Simplifying the given:

Correct choice is the last one: 5 and 1 over 6

5 and 1 over 6    .......................................                        

On moving day, Guyton needs to rent a truck. The length of the cargo space is 10 ft , and the height is 1 ft less than the width. The brochure indicates that the truck can hold 420 ft3 . What are the dimensions of the cargo space? Assume that the cargo space is rectangular shape.

Answer:

The dimensions; width w is 7 ft and height is 6 ft

Step-by-step explanation:

L = 10 ft the length of the cargo space

w = the width of the cargo space

h = the height of the cargo space the height is 1 ft less than the width

h = w - 1

The truck can hold 420 ft^3 - this means the volume of the space V = 420 ft^3

But V = L*w*h

Substitute h = w - 1 into the Volume equation

Therefore,

10*w*(w - 1) = 420

10w^2 - 10w - 420 = 0

By Using quadratic equation formula to solve and considering positive answer,

w = {-b +- √(b^2 - 4ac)}/2a

Where;

a = 10, b = -10 and c = -420

w = {-(-10) +- √(-10^2 - 4(10)(-420)}/2(10)

w = {-(-10) +- 130}/20

w = (10 + 130)/20 = 140/20 = 7

Or

w = (10 -130)/20 = -120/20 = -6

Here,

I take positive answers and the width is 7 ft

Also, from h = w - 1

height = 7 - 1 = 6 ft

As per the question on a moving day, the Guyton is renting a truck and the length of his cargo the height of which is less than the width. The brochure indicates the trick that he can hold.

The dimension of the cargo will be based on the amount of capacity of the cargo and the amount of cargo that needs to be moved. On the day of the move, he rent a truck. The L of all cargo space is given as 10 feet, and that of height is 1 foot which is less than the width. This brochure tells us that the truck can hold 420 feet.

Find out more information about the length of the cargo space.

brainly.com/question/1170096.

Answer: (16.47, 17.49)

Step-by-step explanation:

Formula for confidence interval for the true mean if population stanmdard deviation is unknown:

[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = sample mean

n= sample size

s= sample standard deviation

[tex]t_{\alpha/2}[/tex] = Two tailed critical value.

We assume that the level of polyunsaturated fatty acid is normally distributed.

Given,

n= 6

degree of freedom = n-1 =5

[tex]\overline{x}[/tex] = 16.98

s= 0.31

significance level[tex](\alpha)[/tex] =1-0.99=0.01

Two tailed t- value for degree of freedom of 5 and significance level of 0.01 = [tex]t_{\alpha/2}=4.0317[/tex]    [by student's t-table]

Now , the 99% confidence interval for the true mean of fatty acid level is:

[tex]16.98\pm 4.0317(\dfrac{0.31}{\sqrt{6}})\\\\=16.98\pm 4.0317(0.126557)\\\\=16.98\pm 0.51024\\\\=(16.98-0.51023,\ 16.98+0.51023)\\\\=(16.46977,\ 17.49023)\approx (16.47,\ 17.49)[/tex]

Hence, a 99% confidence interval for the true mean of fatty acid level is: (16.47, 17.49)

Answer:

the actual answer is 78750

Step-by-step explanation:

summation of 2-176 in the equation 5n+5

Answer:

The answer is

Step-by-step explanation:

The above variation is written as

[tex]y = \frac{k}{ {x}^{2} } [/tex]

where k is the constant of variation

when y = 9

x = 4

We have

k = yx²

k = 9(4)²

k = 9 × 16

k = 144

So the formula for the variation is

[tex]y = \frac{144}{ {x}^{2} } [/tex]

when y = 1

[tex]1 = \frac{144}{ {x}^{2} } [/tex]

Cross multiply

x² = 144

Find the square root of both sides

x = √144

x = 12

Hope this helps you.

±2

Step-by-step explanation:

Answer:

upper box is 0

middle box is 3 and

the downer box is 6

Step-by-step explanation:

Have a nice day

Answer:

c) 52.8 m

Step-by-step explanation:

The radius of a conical tent, r = 5.6 m

The slant height = 12 m.

The area of the canvas required to make the tent is equal to the lateral area of the cone.

[tex]\text{Lateral Area of a Cone}= \pi r l\\=\pi \times 5.6 \times 12\\=67.2\pi$ m^2[/tex]

Since the width of the canvas = 4 m

Let the length = l

Area of the canvas = 4l

[tex]4l=67.2\pi$ m^2\\l=67.2\pi \div 4\\l=52.8 m$ (correct to 1 decimal place)[/tex]

The length of the canvas required  to make the tent is 52.8m.

Answer:

Step-by-step explanation:

if x=0 then f(x)=2 (0,2)

if f(x)=0 then x=-1 (-1,0)

If x = 0, then f(0) =  

✔ 2.25

.

If f(x) = 0, then x =  

✔ –1

.

Answer:

160 adults and 80 students

Step-by-step explanation:

With the information from the exercise we have the following system of equations:

Let x = number of students; y = number of adults

I want to maximize the following:

z = 3 * x + 6 * y

But with the following constraints

x + y = 240

y / 2 <= x

As the value is higher for adults, it is best to sell as much as possible for adults.

So let's solve the system of equations like this:

y / 2 + y = 240

3/2 * y = 240

y = 240 * 2/3

y = 160

Which means that the maximum profit is obtained when there are 160 adults and 80 students, so it is true that added to 240 and or every two adults, there must be at least one student.

Answer:

8

Step-by-step explanation:

you would just divide 32 by 4

4x = 32

x = 32/4

x=8

Answer:

[tex]\large\boxed{\sf \ \ \ x=8 \ \ \ }[/tex]

Step-by-step explanation:

Hello

4x=32 we can divide both parts by 4 so

   [tex]\dfrac{4x}{4}=\dfrac{32}{4}\\\\<=> x = 8[/tex]

Hope this helps

Answer:

True

Step-by-step explanation:

Inverse variation on a graph is depicted by the movement of the graph diagram (line) in a downward motion

Answer:true

Step-by-step explanation:

Answer:

0.992774 ≅ .993

Step-by-step explanation:

a²+b²=c²

a=x

b=3

c=3.16

x²+3²=3.16²

x²+9=9.9856

x²=.9856

x=0.992774

x≅0.993