A school needs 1,860 pencils for its students. The pencils are sold in boxes of 12. How many boxes does the school need to order?

Answer:

6.2 × 10⁵

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

True.

Step-by-step explanation:

A tree diagram is a diagram used in general mathematics, statistics, and probability to show a sequence of events. This tool is used to calculate the number of possibilities of an event to occur. Commonly, the tool of a tree diagram is used to find the possibility of outcome while flipping a coin. It is a diagram in which connections between the events is shown using the strucure of branching connecting lines.

So, the given statement is true, that is a simple way of showing events in a sequence.

Answer:

all real x

Step-by-step explanation:

-3(x-1) > -3x - 2​

Distribute

-3x +3> -3x -2

Add 3x to each side

-3x +3 +3x > -3x+3x - 2​

3 > -2

This is always true so the inequality is true for all x

Answer:

c

Step-by-step explanation:

Answer:

yall the answer is B for 2020 edge

Step-by-step explanation:

I took the test

Answer:

I do agree its B.

Step-by-step explanation:

Why i think this is because my average grade was a 100%

Answer:

[tex]\frac{64}{125}[/tex]

Step-by-step explanation:

[tex]\frac{12}{15} \div \frac{25}{16}[/tex]

[tex]\frac{12}{15} \times \frac{16}{25}[/tex]

[tex]\frac{12 \times 16}{15 \times 25}[/tex]

[tex]\frac{192}{375}[/tex]

[tex]\frac{64}{125}=0.512[/tex]

Answer:

[tex]\frac{64}{125}[/tex]

Step-by-step explanation:

=> [tex]\frac{12}{15} / \frac{25}{16}[/tex]

Changing the division sign into multiplication and inverting the term after the sign.

=> [tex]\frac{12}{15} * \frac{16}{25}[/tex]

=> [tex]\frac{12*16}{15*25}[/tex]

=> [tex]\frac{192}{375}[/tex]

=> [tex]\frac{64}{125}[/tex]

This is the required form.

Answer:

The IV will run [tex]66.67 \ ml /hr[/tex]

Step-by-step explanation:

From the question we are told that

   The mass of Magnesium sulfate is  [tex]m_g = 30 \ g[/tex]

   The volume of the Magnesium sulfate  [tex]V_R = 500ml[/tex]

   The rate at which the dose of the solution (Magnesium sulfate + Lactated Ringers. ) is infused is  [tex]R = 4g/hr[/tex]

The concentration of Magnesium sulfate in Lactated Ringers  is mathematically evaluated as

         [tex]C_m = \frac{m_g}{V_R}[/tex]

substituting values

          [tex]C_m = \frac{30}{500}[/tex]

          [tex]C_m = 0.06\ g/ ml[/tex]

This implies that

     0.06 g of Magnesium sulfate is in every 1 ml of  Lactated Ringers

So  4 g  of  Magnesium sulfate is in x ml of  Lactated Ringers

So

        [tex]x = \frac{4}{0.06}[/tex]

       [tex]x = 66.67 \ ml[/tex]

So the amount of the solution in ml that is been infused in 1 hour is  

      [tex]66.67 \ ml /hr[/tex]

Answer:

[tex]y=0.25x+18[/tex]

Step-by-step explanation:

So first we take the equation we are given and write it in slope-intercept form (y = mx + b):

[tex]y+4= \frac{1}{4} (x+5)\\\\y+4=0.25x +1.25\\\\y=0.25x-2.75[/tex]

Now we know parallel lines have the same slope, so the line we are looking for has a slope of 0.25.

so we can start to set up our equation:

[tex]y=0.25x+b[/tex]

and then substitue in the point (8,20) to find the y-intercept.

[tex]20=0.25(8)+b\\20=2+b\\b=18[/tex]

So now we have our equation:

[tex]y=0.25x+18[/tex]

Hope this helps!

Answer:

1/2(n+7)

the sum of n and 7 is (n+7). to half it just put 1/2 in front of the parentheses. :)

Answer:

A. 32.25

Step-by-step explanation:

Because of the first row, we know that to find the cost, we are multipling the gallons by 2.15.

so [tex]15*2.15=32.25[/tex]

So the answer is A.

Hope this helps!

Plx give brainliest

Answer:

a

the displacement of the plane is  [tex]- \= w[/tex]

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       [tex]\= v + \= w[/tex]

c

  the vector which defines this displacement is  [tex]\= v + \= w =- 2500 \ km[/tex]

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  [tex]\= v[/tex]

    The displacement  from Houston, Texas to Akron, Ohio.  is [tex]\= w[/tex]a

a

   The motion of the plane in question a is in the opposite direction to vector [tex]\= w[/tex]

So the displacement of the plane is  [tex]- \= w[/tex]

b

The motion of Portland to Houston to Akron is in the direction of both vector [tex]\= v[/tex] and  [tex]\= w[/tex]  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       [tex]d = \= v + \= w[/tex]

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector [tex]\= v[/tex]

   Give that distance from Portland to Houston is  [tex]\= v = 3000 km[/tex]

           and the distance from Portland to  Anchorage is [tex]\= w = - 5500[/tex]km

Then the vector which defines this displacement is mathematically represented as

   [tex]\= v + \= w = 3000 -5500[/tex]

    [tex]\= v + \= w =- 2500 \ km[/tex]

Answer:

x = 22

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the interior angles

6x+1 = 79+ 2x+10

Combine like terms

6x+1 = 2x+89

Subtract 2x from each side

4x+1 = 89

Subtract 1 from each side

4x = 88

Divide by 4

4x/4 = 88/4

x = 22

Answer:

The answer is

Step-by-step explanation:

We can cross out A. So it has to be either B, C, or D.

Answer:

m=2

Step-by-step explanation:

-2.73m-10.92=-6m-4.38

3.27m=6.54

m=2

Answer:

Step-by-step explanation:

George Fox university = 10,000,000 + 10,000,000

                                    = full bag + full bag

                                    ( click 2 full bag}

Rockhurst university = 10,000,000 +10,000,000 +10,000,000 + 5,000,000

                                  = full bag + full bag + full bag + half bag

       (click 3 full bag and 1 half bag}

Lebanon Valley college = 10,000,000 +10,000,000 +10,000,000 +10,000,000+5,000,000

( click 4 full bag and 1 half bag)

Grand view college = 10,000,000

 (click 1 full bag}

Answer:

5

Step-by-step explanation:

Answer:

Answer:-

a) The circumference of the circle  C = 21.98 m

b) The circumference of the circle  C = 37.68 ft

c)  The circumference of the circle  C = 40.82 km

d) The radius of the circle = r = 11 c.m

    The Diameter of the circle 'd' = 2(r) = 2(11) =22 c.m

e) The circumference of the circle = 21.98 inches

  Step-by-step explanation:

a)  In First diagram

Given radius of the circle 'r' = 7.1 m

  The circumference of the circle  C = 2πr

                                                            C = 2 (3.14) (7.1)

                                                            C = 21.98 m

The circumference of the circle  C = 21.98 m

b) In second diagram

Given diameter of the circle 'd' = 12 ft

   The circumference of the circle  C = 2πr

                                                            C = π(2 r)

                                       Diameter = 2 X radius

                                               d = 2 r

 The circumference of the circle  C = πd

                                                          C = 3.14 ×12

The circumference of the circle  C = 37.68 ft

c)

Given diameter of the circle 'd' = 13 km

   The circumference of the circle  C = 2πr

                                                            C = π(2 r)

                                       Diameter = 2 X radius

                                               d = 2 r

 The circumference of the circle  C = πd

                                                          C = 3.14 ×13

 The circumference of the circle  C = 40.82 km

7) The circumference of the circle  C = 2πr

    Given The circumference of a circle is 34.54 cm

          Now       2πr = 34.54

                   2(3.14) r = 34.54

                           [tex]r = \frac{34.54}{3.14} = 11[/tex]

   The radius of the circle = r = 11 c.m

    The Diameter of the circle 'd' = 2(r) = 2(11) =22 c.m

8) Given radius of the circle 'r' = 3.5 inches

   The circumference of the circle  C = 2πr

                                                            C = 2 (3.14) (3.5)

                                                            C = 21.98

  The circumference of the circle = 21.98 inches

Answer:

Weekly Mean Number of 50-kg bags =10.8 bags

Step-by-step explanation:

In Week 1, Kim uses 7  50kg bags of flour

In Week 2, Kim uses 14  50kg bags of flour

In Week 3, Kim uses 8 X 50kg bags of flour

In Week 4, Kim uses 13 X 50kg bags of flour

In Week 5, Kim will make 2400 loaves.

Each of these loaves will need 250g of flour.

Total Mass of flour that will be used =2400 X 250=600,000 grams

[tex]600,000$ grams=600,000 \div 1000$ kg =600kg\\Number of 50-kg bags =600 \div$ 50 =12 bags[/tex]

In Week 5, Kim will use 12 bags.

Therefore:

Weekly Mean number of 50kg bags of flour used in these 5 weeks.

[tex]=\dfrac{7+14+8+13+12}{5}\\\\ =\dfrac{54}{5}\\\\=10.8 \\ \approx 11$ bags[/tex]

Answer:

The maximum life expectancy for humans is approximately 87 years.

Step-by-step explanation:

We have to calculate the point in which both linear functions (Life expectancy from birth and Life expectancy from age 65) intersect, as this is the point in which is estimated to be the maximum life expectancy for humans.

NOTE: to simplify we will consider t=0 to the year 1900, so year 2010 becames t=(2010-1900)=110.

The linear function for Life expectancy from birth can be calculated as:

[tex]t=0\rightarrow y=45\\\\t=110\rightarrow y=78.7\\\\\\m=\dfrac{\Delta y}{\Delta t}=\dfrac{78.7-45}{110-0}=\dfrac{33.7}{110}=0.3064\\\\\\y=0.3064t+45[/tex]

The linear function for Life expectancy from age 65 can be calculated as:

[tex]t=0\rightarrow y=75\\\\t=110\rightarrow y=84.5\\\\\\m=\dfrac{\Delta y}{\Delta t}=\dfrac{84.5-75}{110-0}=\dfrac{9.5}{110}=0.0864\\\\\\y=0.0864t+75[/tex]

Then, the time t where both functions intersect is:

[tex]0.3064t+45=0.0864t+75\\\\(0.3064-0.0864)t=75-45\\\\0.22t=30\\\\t=30/0.22\\\\t=136.36[/tex]

The time t=136.36 corresponds to the year 1900+136.36=2036.36.

Now, we can calculate with any of both functions the maximum life expectancy:

[tex]y=0.0864(136.36)+75\\\\y=11.78+75\\\\y=86.78\approx87[/tex]

The maximum life expectancy for humans is approximately 87 years.

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Quadrilateral ABCD has been translated to form an image A'B'C'D' by shifting 'a' units right and 'b' units up.

Let the rule for translation is,

(x, y) → (x + a, y + b)

Coordinates of point A is (-4, 4) and the coordinates of the image A' are (-2, 5).

So, (-4, 4) → [(-4 + 2), (4 + 1)]

Therefore, the translation can be represented by [tex]T_{2, 1}(x, y)[/tex] (shifted 2 units right and 1 unit up).

Option (4) will be the answer.

Answer:

T2,1(x,y)

Step-by-step explanation:

Answer:

Correct answer is A) 4,4,4,4

Answer: 5x-3

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). Knowing this, we add the 2 functions together.

2x-6+3x+9

5x-3

Answer:

P(M > 260.2-cm) = 0.702

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 260.5, \sigma = 1.6, n = 8, s = \frac{1.6}{\sqrt{8}} = 0.5657[/tex]

P(M > 260.2-cm)

This is 1 subtracted by the pvalue of Z when X = 260.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{260.2 - 260.5}{0.5657}[/tex]

[tex]Z = -0.53[/tex]

[tex]Z = -0.53[/tex] has a pvalue of 0.298.

1 - 0.298 = 0.702

So

P(M > 260.2-cm) = 0.702

Answer:

E(X ¯)=210,000.

Step-by-step explanation:

A sampling distribution for samples of size n=49 from a population with means μ=210,000 and standard deviation σ=35,000, has the following means anda standard deviation:

[tex]\mu_s=\mu=210,000\\\\\sigma_s=\sigma/\sqrt{n}=35,000/\sqrt{49}=35,000/7=5,000[/tex]

If X ¯ is the mean sales price of the sample, it will have a mean value of E(X ¯)=210,000.

Answer: g(x)

Step-by-step explanation:

The graph represented by the degrees Fahrenheit outside is y = 2x - 3 where g ( x ) = 2x - 3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Slope m = 2

Given that it was -3 degrees Fahrenheit outdoors when Janelle woke up. The temperature increased by 2 degrees every hour as the morning went on. It implies,

Temperature at start: -3

Changes occur at a rate of 2 degrees each hour.

A line's slope intercept form is y = 2x - 3

Hence , the equation of line is y = 2x - 3 and the graph depicted is g ( x )

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

The complete question is attached below :

When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario?

a(x)

f(x)

g(x)

h(x)

Answer:

750ft²

Step-by-step explanation:

Area of rectangle = L*B

Before we find the area of the given rectangle, we need to convert the dimensions using the given scale.

Thus, dimensions of the given rectangle using the scale factor of 4in:5ft would be:

==> Length = 60in = (60*5)/4 = 75ft

Breadth or Width = 8in = (8*5)/4 = 10ft

Therefore, area of rectangle = L * B

= 75ft * 10ft

= 750 ft²

Area of rectangle = 750ft²

Answer:

The height of the kite is 48.54 feet

The angle of elevation is 76.11°

Step-by-step explanation:

To find the height of the kite, we can use the Pythagoras' theorem in the triangle created by the length of the string (hypotenuse), the height of the kite and the distance to the umbrella (catheti).

Then, we have:

50^2 = 12^2 + height^2

height^2 = 2500 - 144

height^2 = 2356

height = 48.54 ft

So the kite is 48.54 feet high in the air.

The angle of elevation can be calculated using the cosine relation:

cos(angle) = 12 / 50

cos(angle) = 0.24

angle = 76.11°

Answer:

The critical value is T = 2.2622.

The 95% confidence interval for the mean waste recycled per person per day for the population of Florida is between 1.352 pounds and 4.248 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622, which is the critical value.

The margin of error is:

M = T*s = 2.2622*0.64 = 1.448

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 1.448 = 1.352 pounds

The upper end of the interval is the sample mean added to M. So it is 2.8 + 1.448 = 4.248 pounds

The 95% confidence interval for the mean waste recycled per person per day for the population of Florida is between 1.352 pounds and 4.248 pounds.

Answer:

A.

Step-by-step explanation:

So you would have f(3) = 3 + [tex]\frac{2}{2}[/tex]

f(3) = 3 + 1

f(3) = 4

Answer:

Step-by-step explanation: f(x)

3+ a square root of 3+1 / x-1

3+ a square root (4/2)

3+ square root of 2. That's the answer

Answer:

r = 1.499619733762 m  There is no such thing a quarter radius!

C = 9.4223886775301 m

A = 7.065 m^2

Step-by-step explanation:

Calculate r and C | Given A

Given the area of a circle calculate the radius and circumference

r = √(A / π)

C = 2πr

Agenda:

r = radius

C = circumference

A = area

π = pi = 3.1415926535898

√ = square root

Answer:

C

Step-by-step explanation:

Because it would have less weight to carry