For the function F defined by F(x)=x^2-2x+4 find F(2b-1).

Answer:

B. [tex] 4\sqrt{7}[/tex]

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

[tex] h = \sqrt{(xy)} [/tex]

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = [tex] h = \sqrt{(14*8)} [/tex]

[tex] h = \sqrt{112} [/tex]

[tex] h = \sqrt{16}*\sqrt{7}[/tex]

[tex] h = 4\sqrt{7}[/tex]

Step-by-step explanation:

as you can see all the values more than -3 are included in the graph

so the answer is:

y≥-3

Answer:

B. 5

Step-by-step explanation:

[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]

Answer:

(-14,0)

Step-by-step explanation:

-x+2y=14 to find the x intercept means y=0

-x+0=14

x=-14

Answer:

2.94

Step-by-step explanation:

SA

Area of one plane moultyply by number of planes

0.7*0.7*6

=2.94

Answer:

715

Step-by-step explanation:

The total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division,and  multiplication by a conversion factor.

We have:

A birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

1/2 liters = 0.5 liters

We know,

1 lter = 1000 ml

0.5 liters = 0.5×1000 = 500 ml

Total water = 215 ml + 500 ml = 715 ml

Thus. the total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

Learn more about the unit conversion here:

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Answer:

[tex]\boxed{\sf \ \ \ maximum \ is \ 11^9=2357947691 \ \ \ }[/tex]

Step-by-step explanation:

hello

[tex]y = 11^{(6x-x^2)}=exp((6x-x^2)ln(11))[/tex]

so to know the maximum to y we can check the maximum of

f(x)=[tex]6x-x^2[/tex]

f is derivable and f'(x)=6-2x

f'(x)=0 <=> x = 3

so the maximum is reached for x = 3

f(3)=18-9=9

and then

[tex]y = 11^9=2357947691[/tex]

to be rigorous, we can write the variation table of y to show that there is only one maximum

hope this helps

Answer:  NO. He had an increase of 25%

Step-by-step explanation:

To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.

[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]

Convert the decimal into percentage by moving the decimal point two places to the right.  0.25 = 25%

Evan spent 25% more time this week than last week.

It can also be stated that this week Evan did 125% of homework compared to last week.

If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.

Answer:

I think it's 1/2 because it might be right

Answer:

195 students voted for the blue and silver color combination.

Step-by-step explanation:

First, you have to convert 65% to a decimal ( You should get 0.65 ).

Next, you multiply 300 by the decimal ( 0.65 )

You should get 195, so that's how many people voted for the blue and silver color combination.

Answer:

195

Step-by-step explanation:

Answer:

See attached graph for the first part

Answer to second part: The end part of the graph show the slowest increase

Step-by-step explanation:

The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.

Answer:

6 + 6y + 6 = 12 + 6

Step-by-step explanation:

2(3) + 6y = 12

Multiply 2(3).

6 + 6y = 12

Subtract 6 on both sides, so y variable is isolated.

6 + 6y - 6 = 12 - 6

6y = 6

Divide by 6 on both sides.

6y/6 = 6/6

y = 1

Answer:

200=4hrs=10 of the machines

200=4hrs

300=xhrs

Cross multiply

200×xhrs = 300×4hrs

X=1200/200

X= 6 hours

Answer:

1/3, 3/5, 5/6

Step-by-step explanation:

There are multiple ways to solve this. The most simple one in my opinion is to put them into decimal form.

3/5= .6

5/6= .83333

1/3= .333333

In this form it is much easier to put them from least to greatest.

1/3, 3/5, 5/6,

Answer:

What is the question?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The data is already in accending order

you look for the value in middle

that will be your median

Answer:

The correct answer is 260

Step-by-step explanation:

Also known as B

Answer:

260 so Answer B

Step-by-step explanation:

Answer: height = 1.16 ft

Step-by-step explanation:

14 inches = 1.17 feet

Height of the oven =

Height = volume / lw

H = 1.59 / 1.17*1.17

H = 1.16 feet

Answer:

a. 3.25 m

b.1.2 ft

Solution,

a. Let 'h' be the height of cylinder

Given,

Radius(r)=0.7 m

Volume(v)=5 m^3

Formula to find volume of cylinder

[tex]\pi {r}^{2} h[/tex]

where r= radius and h= height

so,

[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]

b.

[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]

hope this helps...

Good luck on your assignment...

Answer:

1) 2 (11) - 1/2

Step-by-step explanation:

Given the following:

A line “t” is parallel to 3y = 6x + 9

Equation of a line;

y = mx + c

Where the Coefficient of x, 'm' is the gradient or slope and c is the intercept.

From the equation;

3y = 6x + 9

Divide through by 3

y = 2x + 3

Comparing the line equation with the equation provided :

Coefficient of x = 2, therefore 2 = slope

Since line t is Parallel to y = 2x + 3

Then, slope of line 't' is the same as that of y:

Slope of line 't' = 2

(11) For perpendicular lines :

Slope of original line : 3y = 6x + 9

Divide through by 3

y = 2x + 3

Compare to line equation:

y = mx + c

m = gradient/ slope, c = intercept

Gradient of original line, m = 2

For a line 'r' perpendicular to y = 2x + 3

Gradient, m of line r equals to the negative reciprocal of the gradient of original line

Therefore, gradient of r equals :

-1/2

Answer:

6n(n³ - 4n² + 3)

Step-by-step explanation:

Given

6[tex]n^{4}[/tex] - 24n³ + 18n ← factor out 6n from each term

= 6n(n³ - 4n² + 3) ← which may be factored further if required

6n(n³ - 4n² + 3)  is the factored form.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given that,

⇒6n⁴ - 24n³ + 18n

factor out 6n from each term

⇒6n(n³ - 4n² + 3)

There are two factors 6n and (n³ - 4n² + 3) of given expression.

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Answer:

a.) 7/20

b.) 0.375

c.) 1/15

Step-by-step explanation:

a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.

Simplify that down by dividing both top-bottom by 5 and you get 7/20

b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.

c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m

Find the fraction: 4/60

Simplify by dividing top-bottom by 4 and you get 1/15

Answer:

About 157 meters

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:

[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]

Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!

Answer:

Solution,

1 round = circumference

[tex]2\pi \: r[/tex]

[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]

[tex] = \frac{44}{7} \times 12.5[/tex]

Required distance covered:

[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]

hope this helps..

Good luck on your assignment...

Answer:

2.24/0.16

736.434 × 0.019011

Step-by-step explanation:

The above questions have a solution of 14.

Answer:

2600

Step-by-step explanation:

the number of female : 5000*48%= 2400 female

males =5000-2400=2600 0r 52%

Answer:

36°

Step-by-step explanation:

Let m∠8 = x°

Therefore, m∠7 = 4x°

Since, ∠7 and ∠8 are linear angles.

Therefore,

m∠7 + m∠8= 180°

4x° + x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

x = 36

Hence,

m∠8 = 36°

Answer:

Step-by-step explanation:

x = dozen = 12

12x + 6 = 12•12 + 6 = 144 + 6 = 150

Answer:

Number of lawns mow in 49 hours = 31.5 lawns

Step-by-step explanation:

Given:

Number of lawns mow = 9

Time taken = 14 hours

Find:

Number of lawns mow in 49 hours

Computation:

Time taken for 1 lawn = 14 / 9

Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn

Number of lawns mow in 49 hours = 49 / (14/9)

Number of lawns mow in 49 hours = 31.5 lawns

This can be factored into the product of two binomials.

We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.

The first term in each binomial will be a factor of the p² term.

Since p² breaks down into p · p, we use a p

as the first position in each binomial.

The second term in each binomial will be the factors of

our constant term that add to the coefficient of the middle term.

These factors are +16 and +2.

So our answer is (p + 16)(p + 2).

Check out the image provided.

I have showed the different pairs of factors of 32.

However, only +16 and +2 add to the coefficient of the middle term.

Answer: D.

Step-by-step explanation:

Hexagon has six sides, the sum exterior angles is 360 degrees

if you divide 360 by 6 you will get 60 degrees for each sides.

I might be wrong, I suck at geometry even if im doing calc

Answer:

a)(140,57)

b)positive correlation

c)155cm (Give or take)

Step-by-step explanation:

a) find the outlier which doesn't follow the pattern as the rest

find the coordinates.(140,57)

b)all of the results follow a positive pattern when weight increases so does the height.

c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.

hope this helps

The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm

This is the point that is far from other points in the scatter plot.

From the given graph, the point (140,57) is far from others.

Hence, the outlier point is (140,57)

From the graph, we can see that the points increase towards the right.

This represents a positive correlation

Hence, the correlation type is a positive correlation

The weight is given as:

Weight = 45 kg

From the graph, the closest points to y = 45 are

x = 148, 153, 156 and 158

The mean of these values is 154.

Hence, the estimated height of the student is 154 cm

Read more about scatter plots at:

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