Solve the inequality: -2x + 5 ≥ 3x + 20
A) x ≤ 15
B) x ≤ 3
C) x ≥ 3
D) x ≤ -3

The graph in this problem is characterized as follows:

C. Exponential growth.

First we must look at the format of the graph, which is a curve with an asymptote and not a line, meaning that it represents an exponential function.

Then we observe that the function is increasing, hence it represents an exponential growth function.

The problem is given by the image presented at the end of the answer.

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The difference between 884,283 - 349,407 is calculated to be 534,876

The difference is a term used to represent subtraction, hence in the problem is solved using the mathematical operation known as subtraction

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it.

The operation is done as follows

= 884,283 - 349,407

= 534,876

The subtraction gives 534,876

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Answer:

12 - 8 = 4

i dont know how to explain.

Answer:

The answer to 12 - 8 is 4.

Step-by-step explanation:

Start off with 12 and subtract 8 using your fingers to help, counting up by 1 while counting down from 12, like so:

12, 11, 10, 9, 8, 7, 6, 5, 4.

When you reach 4, stop there. The value you stop at is your answer.

So, your answer will be 4.

Answer:

V= 76 π cubic units

Step-by-step explanation:

y= \((x-3)^{2}\) -----> \(x=\sqrt{y} +3\)

Here we will apply the risk method.

Risk method: consider a strip of length x and width dy as

a) Radius= R(y) = x = \(\sqrt{y} + 3\)

[We rotate this disc about y-axis to get a disk]

b) Cross-section area = A(y)= π \((radius)^{2}\)

                                    = A(y)= π (y+9+6 \(\sqrt{y}\))

--------> Volume of the disc = A(y) x dy

c) Required volume= v = \(\int\limits^4_0\) A(y) x d(y)

                         V= \(\int\limits^4_0\)  π (y + 9 + 6\(\sqrt{y}\) ) dy

                         V=  π [ \({\frac{y^{2} }{2} + 9y + 4y^{\frac{3}{2} }\)\(]_{0} ^{4}\)

                          V= 76  π cubic units.

Answer:

The answer is 375

Step-by-step explanation:

You divide 500 by four and then you get 125. And then after you want to multiply 125 by 3 the numerator and then you get 375. And the way you get four in the equation is when you divide the number by the denominator.

Answer:

375.)

Step-by-step explanation:

First, let's write the problem:

500/1 × 3/4

Now in these types of problems, you can simplify by using a trick.

Do you see how 500 and 4 are across each other? Since 500 is divisible by 4:

500 ÷ 4 = 125.

So now we have 125/1 × 3/1 which is a lot easier to work with.

125 × 3 = 375

1 × 1 = 1

375/1 or 375

Therefore, 375 seats are filled.

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

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

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Answer:

Step-by-step explanation:

1) Substitute (replace) every z with 9

\((9)^2+9(9)+10\)

2) Solve

    \((9)^2+9(9)+10\\81+9(9)+10\\81+81+10=172\)

(Extra Breakdown Below)

1) Calculate Exponents (9)^2 = 81

2) Multiply 9(9) = 81

3) Add 81+81+81 = 172

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

Miranda is calculating her expected expenses for her week long trip to Turkey.

Flight cost = 928 TL

Lodging costs = 755 TL

She spend 814 TL for food.

We need to find Miranda's total. It is equal to the sum of all above data such that,

Total = 928+755+814

= 2497 TL

Hence, Miranda's total is 2497 TL.

Answer:

b

Step-by-step explanation:

answer:

Step-by-step explanation:

1250 plus 0.25 equals 1250.25 plus 1250.25 plus 3200 equals 4450.25 plus 0.10 equals 4450.35

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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The function has a y-intercept that is greater than the intercept of the function is (d) y - 2 = 5x - 6

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

The verbal description:

This means that

Slope = 3

y-intercept = -5

A linear equation is represented as

y = mx + c

Where

m = Slope = 3

c = y-intercept = -5

So, we have

y = 3x - 5

From the list of options, we have

a: y-intercept = -5

b: y-intercept = -9

c: y-intercept = -7

d: y-intercept = -4

-4 is greater than -5

Hence, the function has a y-intercept that is greater than the intercept of the function is (d) y - 2 = 5x - 6

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Answer:

x=17

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x = 17

Step-by-step explanation:

-5 ( x - 10) = -35

-5x + 50 = -35

-5x + 50-50 = -35-50

-5x = -85

-5x ÷ -5

-85 ÷ -5

x = 17

Answer:

14. -32/3

15. -4 and 5

Step-by-step explanation:

hope it will help you

To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

Multiplying row 1 of the matrix by  1 / 4 would give a resultant matrix of [ 1 / 2    0 | 3 / 4 ]

[ - 1     5   | 4 ].

The question wants to multiply the first row of the matrix alone, with the fraction, 1 / 4.

First step is then to multiply the first row by the fraction of 1 / 4 :

( 1 / 4 ) x 2 = 1 / 2

( 1 / 4 ) x 0 = 0

( 1 / 4 ) x 3 = 3 / 4

The results acquired can then be input into the matrix which would then give a resultant matrix of :

[ 1 / 2   0 | 3 / 4 ]

[ - 1     5   |    4   ]

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The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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The sample distribution of (PM-PB) will not be normal, because w expect fewer than 10 electric cars in both samples.

There are two types of data sets are collected for the research. They are population and sample. Population includes all the elements from the data set. Sample is a part of population.

The company planned to take survey from the employees from both the main office and the branch office.

For this, the company took 100 employees from main office and 50 employees from a branch office.

We expect at least 10 successes and at least 10 failures in both samples, then the sampling distribution of \(p_{1 }and p_{2}\) will be approximately normal.\(n_{1}p_{1}\ge 10 and n_1(1-p_1)\ge10\)

\(n_{2}p_{2}\ge 10 and n_2(1-p_2)\ge10\)

Let \(x_{1} and x_2\) denotes the number of persons in the sample.

\(x_{1} =100\\n_{2} =50\)

Also given 1.5% of employees at the main office have electric cars and 2% of employees at the branch office have electric cars.

so, \(p_{1}=0.015, p_{2}=0.02\)

Combining this values we have,

\(n_1p_1=100(0.015)=1.5\le10\) and

\(n_1(1-p_1)=100(1-0.015)=98.5 > 10\)

Similarly, \(n_2p_2=50(0.02)=1\le10\) and

\(n_2(1-p_1)=50(1-0.02)=49\ge10\)

Hence, the sample distribution of PM-PB will not be normal, because w expect fewer than 10 electric cars in both samples.

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The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486

First, we need to calculate the z-score for the sample mean:

z = (x - μ) / (σ / √n)

z = (168.58 - 169) / (2.2 / √10)

z = -0.67

Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.

Using a standard normal distribution table or calculator, we find that the probability is 0.7486.

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Answer:

B and E

Step-by-step explanation:

A. -7 ÷ (-4) = -7/-4 = 7/4 = 1.75

B. -(3 ÷ 2) = -(1.5) = -1.5

C. -8/5 * (-5/8) = (8/5) * (5/8) = 1

D. -5/-3 = 5/3 ≈ 1.667

E. -9 ÷ 6 = -9/6 = -1.5

The graph in which point are plotted is given below and Point D and F lie on Y axis and X axis respectively other lie on the different quadrant

What does a math quadrant mean?

The term "quadrant" refers to each of the four divisions of the coordinate plane. Furthermore, when we speak of the sections, we also mean the sections as the coordinate axes split them. This is where the x-axis is, and this is where the y-axis is on the up-down axis. On a coordinate plane, it divides the space into four parts, as you can see.

Point A (-5,4)

Lies in 2 quadrant of the graph

Point B (-3,-2)

Lies in 3 quadrant of the graph

Point C (4,6)

Lies in 1 quadrant of the graph

Point D (0,-4)

Lies on negative y axis of the graph

Point E (2,-1)

Lies in 4 quadrant of the graph

Point F (1,0)

Lies on positive x axis of the graph

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Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

y(x) = -1/(x^2 + c_1 x)

Step-by-step explanation:

Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:

Divide both sides by -y(x)^2:

-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x

Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:

( dv(x))/( dx) - v(x)/x = -x

Let μ(x) = e^( integral-1/x dx) = 1/x.

Multiply both sides by μ(x):

(( dv(x))/( dx))/x - v(x)/x^2 = -1

Substitute -1/x^2 = d/( dx)(1/x):

(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1

Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:

d/( dx)(v(x)/x) = -1

Integrate both sides with respect to x:

integral d/( dx)(v(x)/x) dx = integral-1 dx

Evaluate the integrals:

v(x)/x = -x + c_1, where c_1 is an arbitrary constant.

Divide both sides by μ(x) = 1/x:

v(x) = x (-x + c_1)

Solve for y(x):

y(x) = 1/v(x) = -1/(x^2 - c_1 x)

Simplify the arbitrary constants:

Answer: y(x) = -1/(x^2 + c_1 x)

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

I think the answer is 27.4617= 27

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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The time taken to reaches its maximum height is 3s.

In the question,

It is given that,

Height, h(t) = \(96t - 16t^{2}\)

The maximum value of the function is obtained if the first derivative of the function h (t) = 0.

\(\frac{dh(t)}{dt} = 96 - 32t = 0\)

⇒ \(t = 3\)

So, time taken to reach its max height is 3 seconds.

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Answer:

Movie duration:1.5hrs

Answer:

To find the area of a square with the scale factor of 3, you multiply the side lengths by 3, so (3*L)*(3*W)= Area of your square.

Step-by-step explanation: I hope that this helps, ask questions in the comments below.(if you have any).

The area of the imagined square will be 90 units² by increased with a scale factor of 3.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

As per the imagined square with dimensions of 10 units.

Applied the scale factor 3 in the length of the square(since it has only one dimension).

10 x 3 = 30 units.

Thus, each side of the square will be 30 units in length.

Hence "By adding a scale factor of 3, the envisioned square's area will expand to 90 units²".

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