How to solve -3x+1<7

Answer: answer is D

Step-by-step explanation:

because science is more important than life

Answer:

12/5

Step-by-step explanation:

tan A = opp/adj

For angle theta, 12 is the opposite leg.

13 is the hypotenuse.

We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 25

The adjacent leg has a length of 5.

tan theta = opp/adj

tan theta = 12/5

Answer: 12/5

Answer:

Barbados won the Bronze.

Step-by-step explanation:

The information indicates that Jamaica finished before Barbados, but behind Trinidad which means that Trinidad was the first one, then Jamaica and the third one was Barbados:

1. Trinidad

2. Jamaica

3. Barbados

Then, it indicates that Haiti finished before Guyana, but behind Barbados which indicates that Haiti was in 4th place after Barbados and  the last one was Guyana:

1. Trinidad

2. Jamaica

3. Barbados

4. Haiti

5.Guyana

According to this, the answer is that Barbados won the Bronze.

Answer:

17

Step-by-step explanation:

I don't know the explanation, but hoped this helped.

Answer:

A≈176.71

Step-by-step explanation:

A=πr^2

We find the radius by slicing the diameter in half. The radius is half of the diameter.

A = A=π 7.5^2

A=π 56.25

A≈176.71

Answer:

60 +24 = 84

Step-by-step explanation:jjjjjhjhjhj

6 x 4 +5 x 12

Answer:

"35.84 years" is the appropriate solution.

Step-by-step explanation:

The given values are:

Rate of savings generation,

[tex]s'(t)=300e^{\frac{t}{20} }[/tex]

System cost to install,

= $30000

Now,

The total savings will be:

⇒  [tex]s(t)=\int\limits s'(t) \ dt[/tex]

On substituting the values, we get

⇒         [tex]= \int\limits 300e^{\frac{t}{20} } \ dt[/tex]

⇒  [tex]s(t)=\frac{300e^{\frac{t}{20} }}{\frac{1}{20} }+c[/tex]

When,

Savings = 0

t = 0, then

⇒  [tex]0=6000e^o+c[/tex]

⇒  [tex]c=-6000[/tex]

The formula will be:

⇒  [tex]s(t)=6000[e^{\frac{t}{20} }-1][/tex]

On putting the values in the above formula, we get

⇒  [tex]30000=6000(e^{\frac{t}{20} }-1)[/tex]

           [tex]5=e^{\frac{t}{20}}-1[/tex]

        [tex]e^{\frac{t}{20} }=6[/tex]

On taking log, we get

⇒  [tex]\frac{t}{20} =log \ 6[/tex]

      [tex]t=20 log 6[/tex]

        [tex]=35.84 \ years[/tex]  

From the information you gave me, I am going to guess it is a 4 pack of highlighters.

Answer: $0.60 per highlighter

Explanation: To find the unit rate of an item, take the price ($2.40) and divide it by the amount of the product included (4).

Answer:

330

Step-by-step explanation:

Answer:

335.5

Step-by-step explanation:

Answer: For the first one Independent variable would be Cars age and the dependent would be cars price. For the second one, independent variable would be number of training miles and dependent would be Time to finish the race in minutes.

Step-by-step explanation:

Answer:

First one:

The independent variable is the car’s age

The dependent variable is the car’s price according tot he age

Second one:

The independent variable is the number of training miles

The dependent variable is the time it takes to finish

Step-by-step explanation:

Just think of the independent variable as the cause and the dependent variable as the effect.

Answer:

mean: 3.3

median: 3

mode: 3

range: 5

Q1 = 2

Q3 = 4

IQR = 2

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : [tex]$h(x)=x^2-7x+6$[/tex]

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

[tex]$h(0)=0^2-7(0)+6$[/tex]

       [tex]$=0-0+6$[/tex]

       [tex]$=6$[/tex]

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

   It is the minimum height which represents the depth Kendra dives into the water.

So the [tex]$x$[/tex] coordinate of the vertex is = [tex]$\frac{-b}{2a}$[/tex]

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴  x coordinate = [tex]$\frac{-(-7)}{2 \times 1} $[/tex]

                         [tex]$\frac{7}{2}=3.5$[/tex]

Now substituting to find f(x),

[tex]$h(3.5)=(3.5)^2-7(3.5)+6$[/tex]

         = -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ [tex]$0=x^2-7x+6$[/tex]

Factorizing, we get   [tex]$(x-1)(x-6)=0$[/tex]

∴ [tex]$x=1 \text{ or}\ x=6$[/tex]

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has [tex]$\text{two}$[/tex] x intercepts. These two x intercepts  are the points where the parabola crosses the x-axis, which is the height [tex]$h(x)=0$[/tex]. The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is [tex]$x=6$[/tex] for [tex]$h(x)=0$[/tex].

Thus Kendra dives out of the water surface at 6 feet from the board.

Answer:

-1.4  ; -0.7  ; 0.003   ; 3%    ;  0.3   ;  2/3  ;    7/8  ;   100/50

Step-by-step explanation:

0.003 ;  -1.4 ;  100/50 = 2 ;  0.85 ; 2/3 = 0.67  ; 3% = 3/100 = 0.03 ; 7/8 = 0.875 ;

0.3 , -0.7

0.003 ;  -1.4 ;   2 ;  0.85 ;  0.67  ;   0.03 ;   0.875 ; 0.3    ; -0.7

Least to greatest:

-1.4 ; - 0.7   ; 0.003  ;   0.03  ;   0.3   ;  0.67  ; 0.85    ;2

-1.4  ; -0.7  ; 0.003   ; 3%    ;  0.3   ;  2/3  ;    7/8  ;   100/50

Negative numbers have least value.Then  in decimal numbers, the number having the least value in tenth is the least

Answer:

24 cm long

Step-by-step explanation:

Answer:

c,h is a 90 degree angle and so is a,k,c

a,k,c is half of the 12cm

so the answer is c,h is 6cm

Step-by-step explanation:

Answer:

CH = 6

BAH = 96

Step-by-step explanation:

BC = 12, so BK = 6, and ABK = ACH, so BK = CH = 6

BAK = 32, KAC = 32, CAH = 32

BAK + KAC + CAH = BAH = 96

Answer:

2/6b-7

Step-by-step explanation:

Answer:

1/3(b-21)

hope it helps :)

Step-by-step explanation:

so let's say that the width is x then the length is x+15

and the area of a square is length times width

x(x+15)=100

x^2+15x-100=0

(x+20)(x-5)=0

x=5 or x=-20 but a side length can't be negative so x would equal 5

Length=x+15 with 5 as x

Length=20

Width=5

Hope that helps :)

Answer:

3 years approx

Step-by-step explanation:

Given data

Principal=£100

Amount= £109.27

Rate= 3%

The expression for the compound interest is

A=P(1+r)^t

Make t subject of formula we have

t= ln(A/P) / r

t= ln(109.27/100)/ 3

t= ln(1.0927)/0.03

t= 0.088/0.03

t= 2.93

Hence the time is 3 years approx

Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh...  but -5 is less than -2 sooo

start with

-2 1/2  - (-5 3/4 )

=5 3/4 - 2 1/2

=5 3/4 - 2 2/4

=23/4 - 10/4

=13/4

there you go...  :)

if you want it back in proper fractions

3 1/4

Answer:

Following are the responses to these question:

Step-by-step explanation:

Because every player has 5 cards handed

The card ratio is 5:1 per player.

So, if there are three teams

5 times 3=15 Cards 

Four players=four times five=20 cards

Five players=5 times five=25 cards

6 cards=6 times 5=30 cards

The card ratio is 5:1 per player.

Answer:

true

Step-by-step explanation:

Answer:

26 , 10 , 3

Step-by-step explanation:

Any number larger than 2 will work.

Answer:

E

Step-by-step explanation:

Answer:

4 right angles

Step-by-step explanation:

a straight light intersects  another straight line= creating 4 right angles