Simplify the expression.

[tex]\frac{5}{\sqrt{3}-2 }[/tex]

Answer:

Option D

Step-by-step explanation:

[tex]4(5 + 3) = 2(22 -6)\\\boxed{\text {For the first part of the equation:}}\\\\4(5+3)\\\\=> 4*5 = 20\\=> 4*3 = 12\\\\\boxed{4(5+3)=20+12}\\\\\\\boxed{\text {For the second part of the equation:}}\\\\2(22-6)\\\\=> 2*22=44\\=> 2*-6 = -12\\\\\boxed{2(22-6)=44-12}\\\\\text {Put the two parts together, and we get:}\\\huge{\boxed{20+12=44-12}[/tex]

Answer:g

2

Step-by-step explanation:the is answer is by the multiply the numbers

Answer:

(if their are no measurements for the smaller boxes) the biggest should cost the most

Step-by-step explanation:

it should hold the most popcorn and their for cost the moast

Answer:

[tex]Sin156[/tex]

Step-by-step explanation:

Given

[tex]Sin24[/tex]

Required

Find equivalent between 0 to 180;

Let 24 be represented by [tex]\theta[/tex]

So, [tex]\theta = 24[/tex]

From Trigonometry ratios;

[tex]Sin\theta = Sin(180 - \theta)[/tex] where [tex]0\leq \theta \leq 180[/tex]

Recall that [tex]\theta = 24[/tex]

So, we have to substitute 24 for [tex]\theta[/tex] in the above expression.

This gives

[tex]Sin24= Sin(180 - 24)[/tex]

Subtract 24 from 180

[tex]Sin24= Sin156[/tex]

Hence, the equivalent of [tex]Sin24[/tex] is [tex]Sin156[/tex]

Answer

7 beakers

Step-by-step explanation:

going by filling the beakers it goes 2/5 4/5 7/5 (1 2/5) 1 4/5 2 1/5 2 3/5 3 beakers. Count that and it equals 7 beakers using 3 liters of water.

Answer:

[tex]( Exactly ) 5.25\pi[/tex]

Step-by-step explanation:

[tex]See Attachment Below;[/tex]

Answer: 5

Step-by-step explanation: just incase no one could see it

Answer:

a) 1.50 m/s²

b) 675m

c) 11.25 m/s

Step-by-step explanation:

1. a) Acceleration can be found from the gradient of a speed-time graph, which is the graph we have here.

Notice that the graph from t=0 to t=10 has the same gradient thoughout (since it is a straight line). Hence, the acceleration when t=4 is the same as the acceleration from t=0 to t=10.

To find the gradient of the graph from t=0 to t=10, use the gradient formula below:

gradient=[tex] \frac{y1 - y2}{x1 - x2} [/tex]

The coordinates of the point at t=0 is (0,0) and the point at t=10 is (10,15).

Thus, gradient

[tex] = \frac{15 - 0}{10 - 0} \\ = \frac{15}{10} \\ = 1.5[/tex]

Therefore the acceleration when t=4 is 1.50 m/s².

*Acceleration is the rate of change of velocity (or speed).

b) Distance travelled can be found by calculating the area under a speed-time graph.

The area under the graph is the orange trapezium that the question has shaded for you already.

Formula for area of trapezium= ½(a+b)(height)

a+b is the total length of the two parallel horizontal lines of the trapezium.

Let the top line be a and the bottom line be b.

length of a= distance between (10,15) and (40,15)

Length of a

= 40 -10

= 30 units

Length of b

= 60 -0

= 60 units

height of trapezium= 15 units

Area of trapezium

= ½(30 +60)(15)

= 675 units²

Thus, the distance travelled is 675m.

c) Avg speed= total distance ÷ total time

From part b, we know that the total distance travelled is 675m. The total time is 60s since the graph is from t=0 to t=60.

Hence, average speed

= 675 ÷60

= 11.25 m/s

Answer:

(h+7j)*(h+2j)

Step-by-step explanation:

h^2+7hj+2hj+14j^2

h*(h+7j)+2j*(h+7j)=(h+7j)*(h+2j)

So the right answer is (h+2)(h+7j)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe

Answer:

∠B` = 109.73°, ∠B = 70.27°

Step-by-step explanation:

∠B + ∠B` = 180°

The Sine Law:

10 / sin B` = 9.2 / sin 60°

10 / sin B` = 9.2 / √3/2

sin B` = 0.94133

B` = sin^(-1) 0.94133

∠B` = 109.73°, ∠B = 70.27°

Answer:

58 degrees

Step-by-step explanation:

In a rectangle, the two diagonals form four isosceles triangles. This means triangle EBC is isosceles. In an isosceles triangle, the two base angles are the same. So, angles EBC and BCE are both 61. Now, in a triangle, the three angles add up to 180. So, 61+61=122, and to find angle CEB you need to subtract 180-122. 180-122=58 degrees.

Answer:

58°

Step-by-step explanation:

to find m∠CEB

triangle CEB is formed by the two parts of rectangle diagonals (and BC), and as we know, diagonals bisect each other, thus EB is congruent to EC, and it is an isosceles triangle

We also know that angles opposite congruent sides are congruent, thus,

angles EBC and ECB are congruent

thus angle ECB= 61°

We know that the inner angle measures of a triangle according to Angle Sum Theorem add up to 180°

Thus,m angle EBC + m angle ECB + m angle CEB= 180

Now we know that both EBC and ECB are angles with the measure of 61 °, so lets put the measures in instead of angles into the equation

61+61+m angle CEB=180

122 + m angle CEB =180

         m angle CEB=180-122

        m angle CEB=58°

Answer:

The depreciation each year is option B. $1500.00

Step-by-step explanation:

Initial value of car = $9600

Salvage value = $600

Salvage value is the final value of product after all the depreciation have been applied on the product.

So, total depreciation on the car = [tex]\$9600 - \$600 \Rightarrow \$9000[/tex]

Also, it is given that the depreciation occurs at a straight line method i.e. same depreciation occurs every year.

Depreciation in 6 years = $9000

Depreciation in 1 year =

[tex]\dfrac{\$9000}{6} \Rightarrow \$1500[/tex]

Hence, option B. $1500 is the correct answer for the depreciation every year.

Answer:

3 3/4 cubic inches

Step-by-step explanation:

2.5*1.5*1

Answer:

15 cubic inches

Step-by-step explanation:

Answer:

excluded value is 1/2

Step-by-step explanation:

The excluded value is the value when the denominator is equal to zero

1 -2x =0

Subtract 1 from each side

-2x = -1

Divide by -2

-2x/-2 = -1/-2

x = 1/2

The excluded value is 1/2

Answer:

[tex]x=-\dfrac{17}{26}[/tex]

Step-by-step explanation:

[tex]4(7x-1)=3(2x+1)-4(x+6)[/tex]

Expand parentheses:

[tex]28x-4=6x+3-4x-24[/tex]

Combine like terms:

[tex]28x-4=2x-21[/tex]

Subtract 2x from both sides:

[tex]26x-4=-21[/tex]

Add 4 to both sides:

[tex]26x=-17[/tex]

Divide both sides by 26:

[tex]x=-\dfrac{17}{26}[/tex]

Hope this helps!

Answer:

[tex]x = \frac{ - 17}{26} \\ \\ [/tex]

Step-by-step explanation:

[tex]4(7x - 1) = 3(2x + 1) - 4(x + 6) \\ 28x - 4 = 6x + 3 - 4x - 24 \\ 28x - 6x + 4x = 4 + 3 - 24 \\ 26x = - 17\\ \frac{26x}{26} = \frac{ - 17}{26} \\ x = \frac{ - 17}{26} \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

x = -8

Step-by-step explanation:

Step 1: Write the equation

1/4x = -2

Step 2: Divide both sides by 1/4

You should get -8 as your final answer.

Answer:

x = -8

Step-by-step explanation:

1/4 x = -2

Multiply each side by 4

1/4 x * 4 = -2*4

x = -8

Answer:

13

Step-by-step explanation:

f(10)=10/2+8

f(10)=5+8

f(10)=13

Hey there!

Answer:

f(x) = 13 when x = 10.

Step-by-step explanation:

To find f(x) when x = 10, simply substitute '10' for 'x'.

[tex]f(x) = \frac{x}{2} + 8[/tex]

Subsitute in '10' for 'x':

[tex]f(10) = \frac{10}{2} + 8[/tex]

Simplify:

[tex]f(10) = 5 + 8[/tex]

[tex]f(10) = 13[/tex]

Therefore, f(x) = 13 when x = 10.

Answer:

y = -3x + 12

Step-by-step explanation:

Very similar to the other question i answered, by here's a step by step anyway in case you find it helpful : )

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (1, 9) and Gradient (m): -3

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - (9) = -3(x-1)

This becomes:

y -9 = -3x +3

Keep solving by moving the 10 over to the other side:

y = -3x + 3 +9

y = -3x + 12

An easy way to double check:

1) the coefficient of x is the slope. We got -3x, and the slope is -3, so that's correct.

2) Substitute x=1 into the equation, and we get 9, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

Answer:

27 laps

Step-by-step explanation:

So first step is to work out how many times 11 fits into 60

[tex] \frac{60}{11} = 5.4545455[/tex]

Then you would times that by the number of laps which is 5

[tex]5.454545455 \times 5 = 27.27.....[/tex]

So it is 27 laps as .27 of a lap is not a complete lap

______________________________

The other leg equals 24 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

___________________________.

Answer:

$1,867.07 monthly payment

Step-by-step explanation:

1. Define variables to calculate the monthly payment for loans, using:

A = total loan amount (how much you borrow)

R = annual interest rate (in %)

N = number of payments per year

2. Use this formula to calculate monthly payment (M):

[tex]M = A* \frac{R}{N}[/tex]

3. Substitute variables with values from excercise as below (11.4% = 0.114):

[tex]M = 190000 * \frac{0.114}{12} = 1867.07[/tex]

4. The calculated result is a monthly payment installment in given currency (in this case $)

ANSWER: The answer is C

Answer:

3√13

Step-by-step explanation:

Distance = (-1,0)  (8,6) =3√13

1: The distance between  (-1,0)  (8,6) is=  √8-(-1))2+(6-0)2  =    3√13

Answer: 3√13

Hope this helps.

Answer: Forty-seven percent is the statistic and 31% is the parameter.

Step-by-step explanation:

Here is the complete question:

A study of parents of kindergarteners included 349 parents who were

chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre-kindergarten. Identify the statistic and the parameter.

Three hundred forty-nine is the parameter and 47% is the statistic.

Three hundred forty-nine is the statistic and 47% is the parameter.

Three hundred forty-nine is the parameter and 31% is the statistic.

Forty-seven percent is the parameter and 31% is the statistic.

Forty-seven percent is the statistic and 31% is the parameter.

A parameter is a value which tells one about something about a population. A parameter is the opposite of a statistic. A statistic tells you something about a small part of the population.

Sample size (n) = 349

From the given sample, we are told that 47% parents sent their students to pre-kindergarten and also that the school record shows that 31% parents sent their students to pre-kindergarten which is, p =0.31

So, 47% is the statistic and 31% is the parameter.

Answer:

Forty-seven percent is the statistic and 31% is the parameter.

Step-by-step explanation:

Isolating the variable terms and dividing by 4, we have [tex]x^2=-\frac{9}{4}.[/tex] Taking the square root, we have [tex]\boxed{x=\frac{3i}{2},-\frac{3i}{2}}.[/tex]

Answer:

[tex]\frac{32}{10}\\\\\frac{64}{20}\\\\\frac{96}{30}[/tex]

These all thave the same quotient of 3.2

Step-by-step explanation:

The fractions which are given and and which are also required are called equivalent fraction. In this, the denominator and numerator of both fractions is different, but when you divide the numerator and denominator to get a value, the values of both the fractions are found same.

To find 2 mixed number or fraction with a quotient 3.2.

We can write 3.2 in the fractional form:

[tex]3.2 = \frac{32}{10}[/tex]

Now multiply both the numerator and denominator with 2, we get

[tex]\frac{2\cdot32}{2\cdot10}= \frac{64}{20}[/tex]

which also has the quotient 3.2

Similarly, multiply both numerator and denominator of 32/10 by 3, we get

[tex]\frac{3\cdot32}{3\cdot10}=\frac{96}{10}[/tex]

whici also has the quotient of 3.2

Similarly we can go on to find as many values as we want with the same quotient.

Answer:

Infinite

Step-by-step explanation:

6x+3=6x+3

6x=6x

x=x

Infinite

The number of solutions should be infinite.

Since the equation is

6x + 3 = 6x + 3

So here,

6x+3=6x+3

6x=6x

x=x

So based on the above calculations, we can conclude that The number of solutions should be infinite.

Learn more about equation here: https://brainly.com/question/15844891

Agree with Elena, because 9x - 2x + 4x is equivalent to 11x, after the subtraction only applies to 2x.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes from after 9x.

And, Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.

Now,

Since, We know that;

⇒ 9x - 2x + 4x

⇒ 7x + 4x

⇒ 11x

Thus, Elena is correct as;

⇒ Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ5

Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

[tex]Distance \, formula = \sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}}[/tex]

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

[tex]\sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}} = Distance[/tex]

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

[tex]\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10[/tex]

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

Answer:

d

Step-by-step explanation:

Answer:

y+10

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Y-10 bc she ran 10 seconds faster