Type the number in standard form
5.8 x 10^-2

devide both sides by 36

-24/36 = x

reduce

-2/3

Answer:

slope 8= -1/5

slope 9= -1

Step-by-step explanation:

Answer: 333.3

Step-by-step explanation:

Answer:

Total amount = £500

Step-by-step explanation:

Let the amount for the runner up be = x

Let the amount for winner be =  x + 250

Let the total amount be x + x + 250 = 2x + 250

Ratio of  the amount is 3 : 1

Sum of the ratio = 3 + 1  = 4

Amount for the winner is

                                     [tex]\frac{3}{4} \ of \ (2x + 250) = (x + 250)\\\\\frac{3}{4}\times(2x + 250) = x + 250\\\\\frac{6x}{4} + \frac{750}{4} = x + 250\\\\\frac{6x}{4} - x = 250 - \frac{750}{4}\\\\\frac{6x - 4x}{4} = \frac{1000 - 750}{4}\\\\\frac{2x}{4} = \frac{250}{4} \\\\2x = 250\\\\x = 125[/tex]

Therefore, Amount won by runner - up = x = £125

                       Amount won by winner = x + 250 = 125  + 250 = £375

Therefore, total amount = 375 + 125 = £500

Answer:

b, the answer is b

Step-by-step explanation:

i can explain later

Answer:

ans: x> -9

Step-by-step explanation:

if you multiply

-2x < 18 by -1 than inequality sign changes as

2x > -18

divide both side by 2 to free 2x to x i.e

2x/2 > (-18/2)

so

x> -9

Answer:

3540

2

Step-by-step explanation:

Total number of members = 60

Number of members to be elected = 2

Since the order of selection matters as the first is president and second is vice president ;

Using the permutation formula :

nPr = n! ÷ (n-r)!

60P2 = 60! ÷ (60 - 2)!

60P2 = 60! ÷ 58!

60P2 = 3540

B.) 2 members A and B will accept to serve only if they are selected to serve together ;

Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;

2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2

Answer:

Please give the context of questions, as it really helps people answer your questions. thanks! n.n

Answer:

4

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses the y axis at y = 4

Answer:

29 ft

Step-by-step explanation:

We solve using the Trigonometric function of Tangent

tan θ = h - 5/20

θ = 50°

Hence

tan 50 = h - 5/20 feet

Cross Multiply

tan 50 × 20 feet = h - 5

23.8350718518842 + 5= h

h = 28.8350718518842

h = 29 ft

Answer:

29

Step-by-step explanation:

Answer:

brainllest if right

b

Step-by-step explanation:

Answer:

g(x) = [tex]3x^{4} + 6[/tex]

Step-by-step explanation:

To move a function up or down along the y-axis all you would have to do is add or subtract the numbers of units that you want the graph to move up or down. Adding a value to the entire function moves it up, while subtracting moves it down. Therefore, in order to move f(x) up 6 units we simply add 6 to the function. Therefore, g(x) will be the following

g(x) = [tex]3x^{4} + 6[/tex]

Both f(x) and g(x) can be seen in the attached picture below

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

I THINK

Answer:

4/10 or 2/5

Step-by-step explanation:

divide 1/2 by 5

Then multiply by 4

Answer:

68

Step-by-step explanation:

Answer:

This is very.....

Step-by-step explanation:

hard

Answer:

(a) (0.9240,  0.956)

(b) (0.6383, 0.7017)

Step-by-step explanation:

The number of internet users involved in the survey, n = 846

The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%

(a) The confidence interval of a percentage is given as follows;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

The z-value for 95% confidence interval = 1.96

We get;

[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]

CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240,  0.956)

(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67

The 95% confidence interval is therefore;

[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]

From which we have;

CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)

Answer:

C

Step-by-step explanation:

Given the factors of a polynomial.

To find the zeros ( the values that make the polynomial equal to zero ), then

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 8 = 0 ⇒ x = - 8

Answer:

132 degrees because you need to to the lenth

Total no. sit-ups by Angel = 124×6 = 744

Total no. sit-ups by Paul = 152×4= 608

Answer: Angel

Answer:

the free

Step-by-step explanation:

Answer:

[tex](x-7)^2+(y-2)^2=34[/tex]

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

[tex](x-7)^2+(y-2)^2=r^2[/tex]

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

[tex](2-7)^2+(5-2)^2=r^2[/tex]

Solve for r:

[tex](-5)^2+(3)^2=r^2[/tex]

Simplify. Thus:

[tex]25+9=r^2[/tex]

Finally, add:

[tex]r^2=34[/tex]

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

[tex](x-7)^2+(y-2)^2=34[/tex]

Answer:

3x-8

Step-by-step explanation:

9x²-64  is the same as

(3x)² - 8²

now we have the difference of 2 squares, a²-b² =(a -b)(a +b), where a=3x, b=8

9x²-64 =  (3x-8)(3x+8)

Answer:

x=2

Step-by-step explanation:

the minimum value of y is when x = 2.

Answer:

The minimum is at x = -2

Step-by-step explanation:

f(x) = (x+2)^2 -3

This is in vertex form

f(x) = ( x-h)^2 +k  where (h,k) is the vertex

Since this is an  upwards  opening  parabola the vertex is the minimum

f(x) = (x- -2)^2 -3

The vertex is (-2,-3)

The minimum is at x = -2

Answer:

A

Step-by-step explanation:

Answer:

B it's 8

Step-by-step explanation:

Brainliest plss

Answer:

4.8 inches

Step-by-step explanation:

6 * 1 / 8 = 0.75

8 * 5 / 12 = 3.33

0.75 + 3.33 = 4.8 inches

Answer:

4.8 inches

Step-by-step Explanation:

Answer:

Rate of change=1

Step-by-step explanation:

y2-y1/x2-x1

(2,0), (0,-2)

y2=-2

y1=0

x2=0

x1=2

-2-0/0-2

-2/-2

1

Rate of Change=1

If this helps please mark as brainliest

Answer:

1

Step-by-step explanation:

Choose two points from the graph.

(0,-2) & [tex]= \frac{0 - [-2]}{2-0}\\\\= \frac{0+2}{2}\\\\= \frac{2}{2}\\\\= 1[/tex](2, 0)    

Rate of change = Change in y / change in x

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 18, and 18² = 324

11² + 16² = 121 + 256 = 377 ≠ 324

Then triangle is not right.