Write an inequality that represents the sentence:
14 fewer than a number is at least -8.
and
the product of a number and 5 is no more than 8.

To evaluate the expressions, you substitute -9 for x and 3 for y into the expressions

(4y)^2 - (2x)

= (4(3))^2 - (2(-9))

= (12)^2 - (-18)

= 144 + 18

= 162

4y^2 - 2x^2

= 4(3)^2 - 2(-9)^2

= 4(9) - 2(81)

= 36 - 162 = -126

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

x = 18.7

Step-by-step explanation:

Gerald's answer is almost correct.  

He just needs to switch the 14 and the x.

it should be

24/x = 18/14

solve for x by cross multiplication

18x = (24)(14)

18x = 336

x = 18.7

Answer: The expression would look like this p/9 (2)

Step-by-step explanation: You should make it a fraction by putting the p on top and 9 on bottom and in parentheses you put in the 2!

Hope this helped! :D

Answer: m = 1/2

Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.

So divide both sides by 2 to get y = 1/2x - 4.

Now the slope is the coefficient of the x term which is 1/2.

This is a positive slope.

Answer:

VW = 36

Step-by-step explanation:

From the question, we are given:

VW = 5x - 4, UV = 2x,

UW = 52

Hence,

UV + VW= UW

2x + 5x - 4 = 52

7x = 52 + 4

7x = 56

x = 56/7

x = 8

VW = 5x - 4,

VW = 5(8) - 4

VW = 40 - 4

VW = 36

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Answer:

Step-by-step explanation:

im not old enough to have a job

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

Step-by-step explanation:

3/8 = 0.375

1/2 = 0.5

0.375 ÷ 0.5 = 0.75

3/8 ÷ 1/2 = 3/4

Hope this helps! <3

If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

here, we have,

The total number of hot dogs and sodas sold is 104 and the number of sodas sold was 3 times the number of hot dogs sold.

We have to form an equation first.

let the number of hot dogs sold be x.

Number of sodas will be 3x.

According to question :

x+3x=104

4x=104

x=26

Put the value of x in 3x to get the number of sodas sold.

=3x

=3*26

=78

Hence If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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Tomando cocientes veremos que:

a) La probabilidad es 0.84

b) En este caso es 0.16

Primero queremos encontrar la probabilidad de que una bolsa tenga el peso correcto, la probabilidad esta dada por el cociente entre el numero de bolsas con el peso correcto y el numero total de bolsas analizadas, entonces tendremos:

P  = 2100/2500 = 0.84

b) Ahora lo mismo, pero con una bolsa de peso menor o mayor, tenemos:

125 que pesan mas

275 que pesan menos

Por un total de 125 + 275 = 400

Entonces la probabilidad es:

P = 400/2500 = 0.16

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La pregunta completa es:

En una empresa de papas fritas una máquina automática debe llenar las bolsas manteniendo una determinada cantidad de gramos, sin embargo, en algunas ocasiones los paquetes de papas pueden pesar más o menos del peso establecido. Se revisaron 2500 bolsas de los últimos días, en las cuales 2100 bolsas tuvieron el peso correcto, 275 tuvieron un peso menor y 125 tuvieron un peso mayor

a) ¿Cuál es la probabilidad de que tenga el peso correcto?

b) ¿Cuál es la probabilidad de que tenga un peso menor o mayor?​

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

An equation that produces a set of ordered pairs defines a function, but it needs to be a proper function!

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. Which means that answer C is correct.

Answer:

C. Yes, no two ordered pairs in this list has a repeat of the domain element.

Step-by-step explanation:

ODY 2022

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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Answer:

a: Angle EBD

b: Can't really phrase this well, a semicircle that is to the left or right of diameter BD

c: Arc EDC

d: 80 degrees

e: 180

Step-by-step explanation:

An inscribed angle is an angle with all 3 points on the circumference of a circle.

A semicircle is half a circle

A major arc is an arc greater than 180 degrees

The inner angle is 80 degrees

Arc BCD is half a circle so its 360/2=180 degrees

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

8×p≈c

Step-by-step explanation:

Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.

Answer:

As a logarithm, the money had been in the account for \(t = \frac{\ln{2}}{0.08}\) years.

Step-by-step explanation:

The amount of money in the account after t years is given by:

\(A(t) = Pe^{rt}\)

In which P is the initial amount deposited and r is the interest rate, as a decimal.

Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%.

This means that \(P = 1600, r = 0.08\)

After t years, there was $3,200 in the account. How many years had the money been in the account?

This is t for which \(P(t) = 3200\). So

\(A(t) = Pe^{rt}\)

\(3200 = 1600e^{0.08t}\)

\(e^{0.08t} = \frac{3200}{1600}\)

\(e^{0.08t} = 2\)

\(\ln{e^{0.08t}} = \ln{2}\)

\(0.08t = \ln{2}\)

\(t = \frac{\ln{2}}{0.08}\)

\(t = 8.67\)

As a logarithm, the money had been in the account for \(t = \frac{\ln{2}}{0.08}\) years.

The value of time t is \(\frac{ln(2)}{0.08}\).

Given: P=1600

r=8%=0.08

t = ?

A=3200

Using the given compound interest formula we get:

\(A=Pe^{rt}\\3200=1600e^{0.08t}\\2=e^{0.08t}\\\)

Take ln on both sides,

\(ln(2)=ln(e^{0.08t})\\ln(2)=0.08t\\t=\frac{ln(2)}{0.08}\)

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

43.2 oz

Step-by-step explanation:

4.8/x=10/100

simplify:

4.8/x=1/10

cross multiply:

x=48

there is 48 oz juice in total

to find the rest:

48-4.8=43.2

43.2 oz is something other than fruit juice.

Answer:

The height is 71 feet.

Step-by-step explanation:

\(60h = 4260\)

\(h = 71\)

If the area of a rectangular sign is approximately 4260 square feet and the width of the sign is approximately 60 feet then, the height of the sign is approximately 71 feet.

To find the height of the given rectangular sign, let's put the given values in the formula for finding the area of a rectangle i.e.,

Area of rectangle = Height x Width

4260 = Height x 60

Solve the equation for the area of a rectangle where

Height (H) = Area of rectangle/Width

Height (H) = 4260/60

Height of the sign = 71 feet

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26 balls

Step-by-step explanation:

have to at least take 11 red, 10 green 5 yellow so have 12 balls in bag

Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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The mirror is 11 1/2 inches wide (that is, 11.5 inches) and the wall is 20 inches wide.

If we use the variable 'x' to represent the distance from the border of the mirror to the wall, we have the figure:

Then, we can write the following equation:

So the distance from the mirror to each corner of the wall is 4.25 inches (or 4 1/4 in)

The cuboid in question has a surface area of 202 square units.

We must sum together the areas of all six faces to determine a cuboid's surface area.

The dimensions of the given cuboid are:

length (l) = 9 units

width (w) = 5 units

height (h) = 4 units

The area of each face is given by:

Top and bottom faces:\(lw = 9 * 5 = 45\) square units each

Front and back faces: \(lh = 9 *4 = 36\) square units each

Left and right faces: \(wh = 5 * 4 = 20\) square units each

Therefore, the total surface area of the cuboid is:

\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)

Hence, the surface area of the given cuboid is 202 square units.

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Answer:

3

Step-by-step explanation:

6/7 divided by 2/7

=

6/7 divide 7/2 (cancel out 7)

=

6 multiply 1/2 (reduce)

=

3

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns