What is 40/4.



From this_guy

The equation that can be used to calculate the concrete weight, w = k·v, and the 740 pounds weight of 5 cubic feet concrete, gives the value of k (which is the density of the concrete) as 148 lb/ft³

The density of a material is the ratio of the mass of the material to its volume.

(b) The weight, w of the concrete is directly proportional to the volume, v of the concrete

The weight of 5 cubic feet = 740 pounds

The equation that can be used to calculate the weight of a given volume of concrete is; w ∝ v

Where;

k = The constant of proportionality

Which gives;

\(k = \dfrac{w}{v}\)

In a proportional relationship between two variables, one variable is a constant multiple of the other such that the ratio of the two variables is a constant, k, which can be found using the value for the data point in the question;

When the weight is 740 pounds, the volume is 5 cubic feet, which gives;

\(k = \dfrac{740\, lb }{5\, ft^3} = 148\, lb/ft^3\)

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The z-score for this dog is

(22.1 - 24.3)/5.6 ≈ -0.3929

so B is the closest solution.

Answer:

f(x) = 10x + 13

Function f(7) = 83

Step-by-step explanation:

y = 10x + 13

f(x) = 10x + 13

Function f(7) = 10(7) + 13

Function f(7) = 83

Answer:

4 points

Step-by-step explanation:

if you look its only 4, 1 on top, and 3 around.

Answer:

11 bat and 8 helmets.

Step-by-step explanation:

Let x = the number of bats

Let y = the number of batting helmets

x + y = 19  Rewrite as y = 19 - x

18.25x + 24.50y = 369.75  Multiply by 100

1825x + 2450y = 36975  Substitute 19 - x for y

1825x + 2450(19 -x) = 39675   Distribute the 2450

1825x + 46550 - 2450x = 39675  combine like terms

-625x + 46550 = 39675  subtract 46550 from both sides

-625x = -6875  Divide both sides by -625

x = 11

He bought 11 bats

x + y = 19  Substitute 11 for x to solve for y

11 + y = 19  Subtract 11 from both sides

y = 8

He bought 8 helmets.

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

AB =  4.9cm

Step-by-step explanation:

We know

AC is 9.1 centimeters, and BC is 4.2 centimeters.

Find AB

We take

9.1 - 4.2 = 4.9cm

So, AB = 4.9cm

Answer:

???

Step-by-step explanation:

Can you provide a picture of it please?

Answer:

28.26

Step-by-step explanation:

The area of the circle with radius XT is πr² = 25π (the radius is 4 + 1 = 5) and the area of the circle with radius XP is 16π so the shaded area is 25π - 16π = 9π = 9 * 3.14 = 28.26.

Answer:

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions. did this help?

Answer:

First investment = $3100

Other investment =  $3600

Step-by-step explanation:

Total investment made by Henry = $6700

Let one investment be x,

Then other investment = total investment - first investment = 6700 - x

A) For 8% interest, investment = x

dollar value of 8% investment = 8/100*x= 8x/100

A) For 5% interest, investment = 6700- x

dollar value of 8% investment = 5/100*(6700- x)= 5(6700- x)/100

Total return on both the investment =  8x/100 + 5(6700- x)/100

  = (8x +33500 - 5x)/100 = (3x+33500)/100

Given that total return = 428

Therefore,

(3x+33500)/100 = 428

=>  3x+33500 = 428*100 = 42800

=> 3x = 42800- 33500 = 9300

=> x = 9300/3 = 3100

Thus, first investment = x = $3100

other investment =  $(6700 - 3100) = $3600

Answer:

3 for problem

Step-by-step explanation:

Answer:

p^2+n

Step-by-step explanation:

When you divide exponents, you subtract them and keep the base (the large number attached to the exponent) the same.

If we subtract two negatives (in this case it's p^-2 - p^n) the answer ends up being positive. So, the answer is p^2+n.

Hope this helped!

Answer:

The  90%  confidence interval for population mean is   \(14.7 < \mu < 19.1\)

Step-by-step explanation:

From the question we are told that

   The sample mean is  \(\= x = 16.9\)

    The confidence level is  \(C = 0.90\)

     The sample size is  \(n = 45\)

     The standard deviation

Now given that the confidence level is  0.90 the  level of significance is mathematically evaluated as

       \(\alpha = 1-0.90\)

       \(\alpha = 0.10\)

Next we obtain the critical value of  \(\frac{\alpha }{2}\)  from the standardized normal distribution table. The values is  \(Z_{\frac{\alpha }{2} } = 1.645\)

The  reason we are obtaining critical values for \(\frac{\alpha }{2}\)  instead of  that of  \(\alpha\)  is because \(\alpha\)  represents the area under the normal curve where the confidence level 1 - \(\alpha\) (90%)  did not cover which include both the left and right tail while \(\frac{\alpha }{2}\)  is just considering the area of one tail which is what we required calculate the margin of error

  Generally the margin of error is mathematically evaluated as

        \(MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

substituting values

         \(MOE = 1.645* \frac{ 9 }{\sqrt{45} }\)

         \(MOE = 2.207\)

The  90%  confidence level interval is mathematically represented as

      \(\= x - MOE < \mu < \= x + MOE\)

substituting values

     \(16.9 - 2.207 < \mu < 16.9 + 2.207\)

    \(16.9 - 2.207 < \mu < 16.9 + 2.207\)

     \(14.7 < \mu < 19.1\)

Answer:

bh

Step-by-step explanation:

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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The correct value of particle's acceleration at t = 2 seconds is -1/12 m/s^2.

To find the particle's velocity, we need to take the derivative of the position function with respect to time (t).

Given the position function:

s = √24 + 6t

To find the velocity, we differentiate the position function with respect to time:

v = ds/dt

Applying the power rule and chain rule for differentiation, we get:

v = (1/2) * (24 + 6t)^(-1/2) * 6

Simplifying further:

v = 3 / √(24 + 6t)

To find the velocity at t = 2 seconds, we substitute t = 2 into the velocity equation:

v = 3 / √(24 + 6(2))

v = 3 / √(24 + 12)

v = 3 / √36

v = 3 / 6

v = 1/2 m/s

So, the particle's velocity at t = 2 seconds is 1/2 m/s.

Now, let's find the particle's acceleration. Acceleration is the derivative of velocity with respect to time.

a = dv/dt

To find the acceleration, we differentiate the velocity function with respect to time:

a = d(3 / √(24 + 6t)) / dt

Applying the quotient rule and chain rule, we get:

a = -3 * (24 + 6t)^(-3/2) * 6

Simplifying further:

a = -18 / (24 + 6t)^(3/2)

To find the acceleration at t = 2 seconds, we substitute t = 2 into the acceleration equation:

a = -18 / (24 + 6(2))^(3/2)

a = -18 / (24 + 12)^(3/2)

a = -18 / 36^(3/2)

a = -18 / 36^(3/2)

a = -18 / 216

a = -1/12 m/s^2

So, the particle's acceleration at t = 2 seconds is -1/12 m/s^2.

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Work Shown:

\(\sin^2 \theta + \cos^2 \theta = 1\\\\\left(\frac{3}{10}\right)^2 + \cos^2 \theta = 1\\\\\frac{9}{100} + \cos^2 \theta = 1\\\\\cos^2 \theta = 1 - \frac{9}{100}\\\\\cos^2 \theta = \frac{100}{100}-\frac{9}{100}\\\\\cos^2 \theta = \frac{91}{100}\\\\\cos \theta = \sqrt{\frac{91}{100}} \ \text{ cosine positive in Q1}\\\\\cos \theta = \frac{\sqrt{91}}{\sqrt{100}}\\\\\cos \theta = \frac{\sqrt{91}}{10}\\\\\)

Answer:

√91/10

Step-by-step explanation:

sin 0.3 is equal to 18(approximate value)

cos18°=0.951

which is √91/10

Answer:

Step-by-step explanation:

Sum of 1 through 100 = 100×(1+100)/2

Answer:Exact Form: one over 9  

1

9

Step-by-step explanation: ,..

The possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have a quadratic equation:

(k - 1)x² + (4k)x + k -3 = 0

Here,

a = k - 1

b = 4k

c = k - 3

As we know for distinct real roots:

D > 0

\(\rm {b^2-4ac}} > 0\)

(4k)² - 4(k-1)(k-3) > 0

\(\rm 16k^2-4\left(k-1\right)\left(k-3\right) > 0\)

\(\rm 12k^2+16k-12 > 0\)

\(\rm 3k^2+4k-3 > 0\)

\(\rm 3\left(k+\dfrac{2}{3}\right)^2-\dfrac{13}{3} > 0\)

\(\rm 3\left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{3}\)

\(\rm \left(k+\dfrac{2}{3}\right)^2 > \dfrac{13}{9}\)

\(\rm k < \dfrac{-\sqrt{13}-2}{3}\quad \mathrm{or}\quad \:k > \dfrac{\sqrt{13}-2}{3}\)

or

\(\rm k < -1.868 \quad \mathrm{or}\quad \:k > 0.535\)

Thus, the possible values of k are k < - 1.868 or k > 0.535 in which the inequality is true.

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Answer:

600

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-12°F +  3 =-9

1/2 * 6 = 3

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

Step-by-step explanation:

i think the answer is the

X=(-8) or X=(-2)

if not then its the

X=(-8) or X=(2)

Answer:

X= -8 or X= 2

Step-by-step explanation:

Its D on edg.

Answer:

Asha has 3x books

Step-by-step explanation:

Since we dont not know how many books Luna has we know it is "X" so luna will have 3 times as much as X so 3x which also represents 3 times x

Answer: Quad IV

Step-by-step explanation:

Answer:

3380

Step-by-step explanation:

There are five choices for the first letter, and 26 choices each for the middle and last letters.

So,

5*26*26=3380

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C