How many numbers are there between 1 and 4?

Answer:

7/10 ≥ j - 3/8

Switch sides,

j - 3/8 ≤ 7/10

Add 3/8 to both sides,

j - 3/8 + 3/8 ≤ 7/10 + 3/8

Simplify,

j ≤ 43/40

Answer

j≤\(\frac{43}{30}\)

Explanation

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Answer: a = 294 square inches

Use the formula: A = 6a^2

Answer:

294

Step-by-step explanation:

A=6x²

A=6*7²

A=6*49

A=294

Answer:

I think the triangle is not a parallelogram because it is three sided. A parallelogram needs 4 sides.

Step-by-step explanation:

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

Answer:

\({ \tt{16 {b}^{2} c {}^{12} - 0.25 }}\)

» Change the decimal to a fraction:

\( = { \tt{ {16b}^{2} {c}^{12} - \frac{1}{4} }} \\ \)

» Change the other degrees to indices;

\( = { \tt{ \blue{( {4}^{2}) }} {b}^{2} {c}^{12} - \frac{1}{ \red{( {2}^{2} )}} } \\ \\ = { \tt{ {(4bc {}^{6} )}^{2} - \frac{1}{4} }}\)

» Factorize:

\( = { \tt{4}^{2} \{ ( {bc}^{6} ) {}^{2} - \frac{1}{4} \}} \\ \\ { \boxed{ \tt{ = 16 \{ { \blue{{(bc}^{6}) {}^{2} - \frac{1}{4} } \}}}}}\)

Answer:

Step-by-step explanation:

56 miles/(8 hours) = 7 miles/hour

14 hours × 7 miles/hour = 98 miles

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

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Answer:

y=2.50+175*(x-1)

$4727.50

Step-by-step explanation:

y=2.50+175*(x-1)

The first km costs 2.50 which is why you add it. You do x-1 because the 175 is charged for each additional km. So, if you traveled one km it would cost 2.50.

y=2.5+175*(28-1)

y=2.5+175*27

y=2.5+4725

y=$4727.50

Answer:

Number of hours worked overtime = 5.5 hours

overtime rate = $17.925 per hour

overtime pay = $98.59

Step-by-step explanation:

a. Her overtime hours are the number of hours worked over 40 hours, and we are told that she worked 45 1/2 hours last week.

Therefore, her overtime hours = 45.5 - 40 = 5.5 hours

b. overtime rate:

for her overtime rate, we are given that she has a time-and-a-half pay for her overtime hours. This means that she is paid 1.5 times the normal rate for working overtime.

∴ overtime rate = 1.5 × normal rate

overtime rate = 1.5 × 11.95/hour

overtime rate = $17.925/hour

c. overtime pay:

overtime pay = overtime rate × overtime hours worked

overtime pay = 17.925 × 5.5

overtime pay = $98.59

Answer:

Step-by-step explanation:

Proportion of retired people under the age of 65 would return to work on a full-time basis if a suitable job were available = 60/100 = 0.6 = P

Null hypothesis: P ≤ 0.6

Alternative: P > 0.6

First, to calculate the hypothesis test, lets workout the standard deviation

SD =  √[ P x ( 1 - P ) / n ]

where P = 0.6, 1 - P = 0.4, n = 500

SD = √[ (0.6 x 0.4) / 500]

SD = √ (0.24 / 500)

SD = √0.00048

SD = 0.022

To calculate for the test statistic, we have:

z = (p - P) / σ where p = 315/500 = 0.63, P = 0.6, σ = 0.022

z = (0.63 - 0.6) / 0.022

z = 0.03/0.022

z = 1.36

At the 2% level of significance, the p value is less than 98% confidence level, thus we reject the null hypothesis  and conclude that more than 60% would return to work.

The value of \($(2 x-3 y)^7$$\) be

\($=128x^7-1344 x^6 y+6048 x^5 y^2-15120 x^4 y^3+22680 x^3 y^4-20412 x^2 y^5+10206 x y^6-2187 y^7$\)

The binomial theorem states that the nth power of the sum of two numbers a and b may be written as the sum of n + 1 terms of the form for every positive integer n. Starting with n, the powers on a decrease until the final term, when the power is 0.

Statistical and probability analyses make extensive use of the binomial theorem. Because statistical and probability analyses are so important to our economy, it is quite helpful. The Binomial Theorem is used to locate equations' roots in higher powers in advanced mathematics and computation.

Let the equation be \($(2 x-3 y)^7$$\)

Apply binomial theorem: \($(a+b)^n=\sum_{i=0}^n\left(\begin{array}{c}n \\ i\end{array}\right) a^{(n-i)} b^i$\).

\($$\begin{aligned}& a=2 x, b=-3 y \\& =\sum_{i=0}^7\left(\begin{array}{l}7 \\i\end{array}\right)(2 x)^{(7-i)}(-3 y)^i\end{aligned}\)

substitute the values in the above equation, we get

\($=\frac{7 !}{0 !(7-0) !}(2 x)^7(-3 y)^0+\frac{7 !}{1 !(7-1) !}(2 x)^6(-3 y)^1+\frac{7 !}{2 !(7-2) !}(2 x)^5(-3 y)^2+$\)\($\frac{7 !}{3 !(7-3) !}(2 x)^4(-3 y)^3+\frac{7 !}{4 !(7-4) !}(2 x)^3(-3 y)^4+\frac{7 !}{5 !(7-5) !}(2 x)^2(-3 y)^5+$\)\($\frac{7 !}{6 !(7-6) !}(2 x)^1(-3 y)^6+\frac{7}{7 !(7-7) !}(2 x)^0(-3 y)^7$\)

simplifying the above equation, we get

\($\begin{array}{ll}\frac{7 !}{0 !(7-0) !}(2 x)^7(-3 y)^0= & 128 x^7 \\ \\ \frac{7 !}{1 !(7-1) !}(2 x)^6(-3 y)^1= & -1344 x^6 y \\ \\ \frac{7 !}{2 !(7-2) !}(2 x)^5(-3 y)^2 = & 6048 x^5 y^2 \\ \\ \frac{7 !}{3 !(7-3) !}(2 x)^4(-3 y)^3= & -15120 x^4 y^3 \\ \\ \frac{7 !}{4 !(7-4) !}(2 x)^3(-3 y)^4= & 22680 x^3 y^4 \\ \\ \frac{7 !}{5 !(7-5) !}(2 x)^2(-3 y)^5= & -20412 x^2 y^5 \\ \\ \frac{7 !}{6 !(7-6) !}(2 x)^1(-3 y)^6 = & 10206 x y^6 \\ \\ \frac{7 !}{7 !(7-7) !}(2 x)^0(-3 y)^7 = & -2187 y^7\end{array}$\)

Therefore, the value of \($(2 x-3 y)^7$$\) be

\($=128x^7-1344 x^6 y+6048 x^5 y^2-15120 x^4 y^3+22680 x^3 y^4-20412 x^2 y^5+10206 x y^6-2187 y^7$\)

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Answer:b

Step-by-step explanation:

Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

Step-by-step explanation:

This is the answer of this question

Answer:

f(3)= 3+1

=4

gf(3) is attached.

Answer:

k=5

Step-by-step explanation:

10÷2=5

20÷4=5

and so on

Answer:

The right answer should be 6

Step-by-step explanation:

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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Answer:

800 N

Step-by-step explanation:

I don’t know I just submitted it and that was the answer

The maximum profit price and maximum profit are 23.33 and  301666.66 respectively

Given the following functions

Expense =  E = -3,000p + 250,000.

The revenue function is R = -600p^2 + 25,000p

The profit is the difference between the revenue and cost to have;

P = R - E

P = -600p^2 + 25,000p - ( -3,000p + 250,000.)

Simplify

P = -600p^2 + 25,000p - ( -3,000p + 250,000.)

P = -600p^2 + 25,000p +3,000p-  250,000

P = -600p^2  + 28000p - 250000

The maximum price occurs when P'(p) = 0

P'(p) = -1200p + 28000

0 = -1200p + 28000

p = 28000/1200
p = 23.33

Substitute

P(23.33) = -600(23.33)^2  + 28000(23.33) - 250000

P(23.33) = -326573.34 - 250000 + 653240

P(23.33) = 301666.66

Hence the maximum profit price and maximum profit are 23.33 and  301666.66 respectively

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A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

Answer:

\(21 + x\) packs

Step-by-step explanation:

Given

\(Washable \to 21\)

\(Non \to x\)

Required

The total packs bought

This is calculated as:

\(Total = Washable + Non\)

\(Total = 21 +x\)

a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

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The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

You would need 23 inches to build it

Based on the given information, one of the acute angles in the triangle is 22 degrees, and another measures 68 degrees.

In any triangle, the sum of the three interior angles is 180 degrees. Therefore, in this right-angle triangle,

90 + X + 3X + 2 = 180

4X + 92 = 180

4X = 180 - 92

4X = 88

X = 22

So, one of the acute angles in the triangle is 22 degrees.

Now, we can find the third angle using the fact that the sum of the three angles in a triangle is 180 degrees:

90 + X + 3X + 2 = 180

4X + 92 = 180

4X = 88

3X + 2 = 68

Therefore, the third angle in the triangle measures 68 degrees.

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Answer:

4x + (-2) = -2x+6

Step-by-step explanation:

im not gonna explain a diagram but it won't let me submit.

Answer:

x ≥ 25

Step-by-step explanation:

x- 7 ≥ 18

Add 7 to each side

x- 7+7 ≥ 18+7

x ≥ 25