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[tex]4(t+\frac{1}{4})=3[/tex]   distribute by multiplying 4 into the parenthesis.

[tex]4t+1 = 3[/tex]

    [tex]-1[/tex]   [tex]-1[/tex]     subtract 1 on both sides, solve for 3 - 1, which is 2.

__________

[tex]\frac{4t}{4} =\frac{2}{4}[/tex]     divide 4 on both sides.

[tex]t = \frac{2}{4}[/tex]       simplify 2/4.

[tex]t = \frac{1}{2}[/tex]       final answer

hope this helps :)

Answer:

32:3

Step-by-step explanation:

Answer:

4.032

Step-by-step explanation

Khan Academy

To find the critical value t^*t ∗t, start superscript, times, end superscript for a t-interval with 99% confidence and n=6, we need to use a t-distribution with degrees of freedom df=n−1=6−1=5.

A t-distribution table is a table that lists critical values for the t-distribution.

The t-distribution is a probability distribution that is used in hypothesis testing when the sample size is small or when the population standard deviation is unknown. The table lists critical values for various levels of significance and degrees of freedom.

Using a t-distribution table or calculator with 5 degrees of freedom and a 99% confidence level, we find the critical value t^*t ∗t to be approximately 4.032.

Therefore, the doctor should use t^*t ∗t = 4.032 for constructing the t-interval for the mean waiting time.

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Answer:

x^3-8x^2+5x+14

Step-by-step explanation:

(x+1)(x-2)(x-7)

x^3-8x^2+5x+14

Answer:

3,468

Step-by-step explanation:

i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468

Answer:

D

Step-by-step explanation:

180-43=137

Answer:

180 - (43 + 56) = 81 (angle 1)

180 - 81 = 99 (angle 2)

180 - 56 = 124 (angle 3)

180 - 43 = 137 (angle 4)

Step-by-step explanation:

Answer:

The relative frequency of 45 is 1

Step-by-step explanation:

Answer:

I could be wrong, but I think it's x=12

Answer:

Step-by-step explanation:

First let's set this into a proportion:

[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]

Hope this helps

Part D: x= -b/2a

(-1/3, -4/3)

im sorry if this is wrong ;'(

Answer:D

Step-by-step explanation:

D will go with each funcuation.

Answer:

the solution to that is 26.

Answer:

26

Step-by-step explanation:

Substitute x = - 6 into the expression

x² + x - 4

= (- 6)² + (- 6) - 4

= 36 - 6 - 4

= 30 - 4

= 26

Answer:

135

Step-by-step explanation:

[tex](7 + 2 {}^{3} ) \times 9 \\ = (7 + 8) \times 9 \\ = 15 \times 9 \\ = 135[/tex]

Answer:

135

Step-by-step explanation:

2 cubed=8

8+7=15

15x9=135

Answer:

23°

Step-by-step explanation:

sin ∠N= OP/NO= 19/49

⇒∠N ≈ 23°

Answer:

f = 2 1/4c

Step-by-step explanation:

Number of cups of flour is proportional to the number of cakes

Number of cups of flour = f

Number of cakes = c

Therefore,

f = k * c

Where,

k = constant of proportionality

Number of cups of flour = 22 1/2 cups

Number of cakes = 10 cakes

f = k * c

22 1/2 = k * 10

45/2 = 10k

k = 45/2 ÷ 10

= 45/2 × 1/10

= (45*1) / (2*10)

= 45/20

= 2 5/20

k = 2 1/4

The equation is

f = k * c

f = 2 1/4 * c

f = 2 1/4c

Answer:

4.2 laps

Step-by-step explanation:

because 4 laps is 1600+ the 80 which is a 1/5 of 400 causing it to be .2

Answer:

120

Step-by-step explanation:

The formula for a triangle is 1/2bh

so u first multiply 12 by 20 which you will get 240.

After you get 240 u multiply it by the 1/2 which also means dividing by 2.

240 divided by 2 is 120.

Answer:

Step-by-step explanation:

P(g=1) is equal to

1-P(g=0)-P(g=2)

P(g=0)=(7/12)(6/11)

P(g=2)=(5/12)(4/11) so

P(g=1)=1-(42/132)-(20/132)

P(g=1)=(132-42-20)/132

P(g=1)=70/132

P(g=1)=35/66

Answer:

Diagonal of the rectangle = 13 units   c =13

side of rectangle = 12 units         a = 12

area of the rectangle = l× b

In rectangle all the corner angle is 90 degree. A diagonal of the rectangle forms two right angle.so we use Pythagoras theorem.

formula ; a²+b²=c²    a = 12 , c = 13

             12²+b² = 13²

            144 + b² = 169

            b² = 169 - 144

                =25

b   = 5 units

a  = 12 units

Step-by-step explanation:

Answer: you need a picture

Step-by-step explanation:

picture of ?????????

Step-by-step explanation:

picture dude

Answer:

(9, 2)

Step-by-step explanation:

What point divides the directed line segment ​ AB¯¯¯¯¯ ​ ⁢ into a 3:1 ratio?

coordinate plane with segment A B with A at (0, 2) and B at (12, 2)

(3, 2)

(4, 2)

(8, 2)

(9, 2)

Solution:

If point O(x, y) divides the line segment AB with endpoints A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio n:m, the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let us assume C(x, y) is the point that divides  segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:

[tex]x=\frac{3}{3+1}(12-0)+0=\frac{3}{4}(12)=9 \\\\y=\frac{3}{3+1}(2-2)+2=\frac{3}{4}(0)+2=2[/tex]

Therefore the coordinate of point C is at (9, 2).

Answer:

There are 600 gumballs

Answer:

4

Step-by-step explanation:

8/2=4

Answer:

Actually i don't know what is the wanted but now

i will find the total of the teenagers.

Step-by-step explanation:

[tex] \frac{4000}{45\%} = \frac{x}{100\%} \\ x = \frac{4000 \times 100}{45} \\ x = 8889 \: \: teenagers[/tex]

I hope that is useful for you :)

Answer:

this is tating the plant

Answer:

The amount in the account after 3 years is $672.00

Step-by-step explanation:

Here, we want to use the compound interest formula

A = P(1 + r/n)^nt

A is the amount in the account after the given time

P is the principal which is the deposit amount = $600

r is the interest rate = 3.85% = 3.85/100 = 0.0385

n is the number of times interest is compounded yearly (since it is annually, n = 1)

t is the time in years = 3

Substituting these values;

A = 600(1 + 0.0385/1)^(3 * 1)

A = 600(1.0385)^3

A = $672

Answer:

10/4 or 15/6

Step-by-step explanation:

The students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.

Addition in math is a process of combining two or more numbers.

Given that, A class spent hour on art and 1 /3 hours on art and [tex]1\frac{1}{3}[/tex] hour  on mathematics.

To find the total time, will add both the time,

[tex]=\frac{1}{3} + 1\frac{1}{3}\\ = \frac{1}{3} + \frac{4}{3} \\= \frac{5}{3} \\= 1\frac{2}{3}[/tex]

Hence, the students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.

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Answer:

substitute all given values in this formula v=base ×height

then height= base /volume

Step-by-step explanation:

Answer: 23 2/3 points

Step-by-step explanation:

First, we can set up an equation where Mitch's points are equal to m and Tom's are equal to t.

We can say that 79=3t-8. Next, we can subtract 8 on each side to get 71=3t. Then, we can divide by 3 to get that Tom has 23 2/3 points.

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

This implies that there are 16 customers online at 12 noon.

If 16 customers are online, then there should be at least 16 service technicians online.