HELP!!!!
Bone-shaped treats are 5 for $3.50 at Shelley’s store and Sarah wants to buy 12. She set up and solved this proportion to find how much they would cost. Describe her error and find the correct solution.

5
3.5
=
12
x
3.5x = 60
x = $17.14

Answer:

\((f o g)(x) = f(g(x))\\ = f(x-6)\\ = (x-6)^{2} +4(x-6)-60\\ = x^{2} -12x+36+4x-24-60\\ = x^{2} -8x-48\\ = (x-12)(x+8)\)

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Factors of 7 are, 1, and 7. The factors of 21 are, 1, 3, 7, and 21, making 7 the gcf.

Answer:

A unit rate is a rate with 1 in the denominator

Step-by-step explanation:

The lateral surface area of a cylinder can be calculated using the formula 2πrh, where r is the radius of the circular base and h is the height of the cylinder. Using the given value of π as 3.14 and rounding to the nearest whole number, the formula becomes: Lateral surface area = 2 × 3.14 × 8 × 18Lateral surface area = 904.32The lateral surface area of the cylinder is 904.32 square units.

The lateral surface area of a cylinder is the area of the curved surface that connects the two circular bases of the cylinder. It can be calculated using the formula 2πrh, where r is the radius of the circular base and h is the height of the cylinder. To find the lateral surface area of the given cylinder, we need to first identify the values of r and h. From the problem statement, we know that the value of π is 3.14.

We are also told to round our answer to the nearest whole number. Using the given formula, we have: Lateral surface area = 2πrh where r is the radius of the circular base and h is the height of the cylinder.  From the problem statement, we are not given the radius of the cylinder directly. However, we are given the diameter of the cylinder, which is 16. The radius is half of the diameter, so the radius can be calculated as: r = d/2 = 16/2 = 8 units We are also given the height of the cylinder as 18 units. Substituting these values in the formula, we get: Lateral surface area = 2 × 3.14 × 8 × 18Lateral surface area = 904.32 square units Rounding to the nearest whole number, the lateral surface area of the cylinder is 904 square units.

To know more about area visit:

https://brainly.com/question/30307509

#SPJ11

Answer:

Don't worry it's easy just try

Answer:

Vt=875-50t

V(4)=875-50(4)

V(4)=875-200

V(4)=675

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.

Formula is given by:

\(CV = \frac {\sigma}{\mu}\)

\(\sigma = 0.02\)

Mean for the time of 0.02 sec is = 79 * 0.02

=1.58

CV= 0.02/1.58

=0.012

To learn more about Coefficient of Variation visit:

https://brainly.com/question/13977805

#SPJ4

Answer:

1. 900

2. 975

3. 75 feet below sea level? which makes no sense but that's what the math says.

a. The probability that the customer ordered dessert is approximately 0.1732. b. The probability that the customer came for lunch or ordered dessert is approximately 0.4252.

(a) The total number of customers who ordered dessert is 7 + 15 = 22. The total number of customers is 127. So the probability that the customer ordered dessert is:

P(dessert) = 22/127

P(dessert) ≈ 0.1732

(b) The number of customers who came for lunch or ordered dessert is 7 + 32 + 15 = 54. The total number of customers is 127. So the probability that the customer came for lunch or ordered dessert is:

P(lunch or dessert) = 54/127

P(lunch or dessert) ≈ 0.4252

For such more questions on probability

https://brainly.com/question/24756209

#SPJ8

Answer:

the equation of the line is 2y-x-1

pls give brainliest

Answer:

y=12

Step-by-step explanation:

y=2x ,so 2x=8x-x^2

x^2=8x-2x

x^2=6x

x^2/x=6x/x

x=6

y=2x ,2(6)

y=12

Answer:

Hope this helps.. Have a good day

Randy can buy six gallons of gas for $18. He would pay $24 for 8 gallons of gas.

We can see that he pays three dollars per gallon by dividing the per gallon. 18 dollars/6 gallons equals 3 dollars, and 21 dollars/7 gallons equals 3 dollars. So, if he pays the same $3 per gallon rate, he will pay $24.

Fuel costs can be estimated using this calculator based on trip distance, vehicle fuel efficiency, and gas prices in various units. Gas prices fluctuate, but for most drivers, it is always a significant expense.

If you use mpg (miles per gallon), the total gas consumption formula is as follows: as an example The total amount of fuel required is 500 / 20 = 25 gallons if the distance is 500 miles and the consumption rate is 20 miles per gallon


To learn more about gallons

https://brainly.com/question/19638640
#SPJ4

Answer:

1.6 times per second

Step-by-step explanation:

You just have to divide 96 by 60 like this:

96÷60=1.6

Answer:

a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm. so around 21.

Step-by-step explanation:

Answer:

x=1, y=3

Step-by-step explanation:

Rearrange equations 1 and 2 so that y is the subject

3x^2 = xy

Equation 1) y = 3x

Equation 2) 2y = 5x + 1

multiply the first equation by 2

2y = 6x

2y = 5x + 1

subtract the 2 equations from each other

2y - 2y = 6x - (5y +1)

0 = x - 1

x = 1

substitute x = 1 in the second equation

2y - 5(1) = 1

2y = 1 + 5

2y = 6

y = 3

the slope is 0.1 or one tenth as a fraction.

slope equation:

change in Y divided by change in X

**underlined numbers are x values and bold numbers are y values**

(3,-5) and (-7, -6)

our two Y values looking at the coordinates are -5 and -6, since coordinates are (x,y)

our two X values are 3 and -7

now plug these into the equation:

-5 - (-6)

------------

3 - (-7)

**PAY ATTENTION TO THE SIGNS**

now the numerator is -5+6 which is 1

and the denominator is 3+7 which is 10

that makes 1/10 as a fraction -your slope

simplify it and you have:

slope = 0.1 or 1/10

i hope this helps!!

Answer:

Euler's Identity

Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.

Step-by-step explanation:

Answer:

Calculus

Step-by-step explanation:

The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.

Answer:

1. 18?, 2. 10?, 3. 16?, 4. 36?, 5. 10?, 6. 18?.

Step-by-step explanation:

I'm not sure though your picture was not clear enough and I have quite bad eyesight.

Answer:

The temperature at noon was -10ºF + 15º = 5ºF.

Then, from noon to 7:00 pm, there were 7 hours, during which the temperature dropped 25º. Therefore, the temperature at 7:00 pm was:

5ºF - 25º = -20ºF.

So, the temperature at 7:00 pm was -20ºF.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be -30°F

Answer:

Maximum

Step-by-step explanation:

The green dot repesents the max height of the parabola.

Helpful tip:

If the graph opens up then the vertex is a min

If the graph opens down then the vertex is a max

Answer:

15.67

Step-by-step explanation:

14+1.67=15.67

The two variables are said to have a correlation.

Correlation is a statistical measure of the relationship between two variables. When two variables are correlated, changes in one will be associated with changes in the other. For example, as the temperature increases, ice cream sales will also increase.

The correlation coefficient is a measure of the strength of the relationship between two variables. If the coefficient is close to +1, there is a strong positive correlation.

This means that as one variable increases, the other also increases. If the coefficient is close to -1, there is a strong negative correlation. This means that as one variable increases, the other decreases. If the coefficient is close to zero, the variables are said to have no correlation.

Correlation does not necessarily imply causation. It only indicates that two variables are related and does not necessarily explain why.

For example, two variables can be correlated because of a third variable. Therefore, correlation does not always indicate a causal relationship between two variables.

To know more about correlation click on below link:

https://brainly.com/question/30116167#

#SPJ11

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Any theory of the yield curve must be able to explain the real rate of interest, interest rate risk premium, and inflation premium.

A flat yield curve indicates that the interest rate would be consistent. The long-term interest rates and short-term interest rates are identical. According to the liquidity premium hypothesis of the term structure, a flat yield curve denotes that short-term interest rates are predicted to stay constant.

Level, scope, and inflation are the three main factors that investors often direct to directions in the yield curve. If the yield curve is upward-tilting, the short-term interest rate would be lower than the long-term interest rate.

To learn more about yield curve

https://brainly.com/question/30598522

#SPJ4

Answer:

c

Step-by-step explanation:

Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

2 pens cost £2.38 5 folders cost £5.60 Ben wants to buy 20 pens and 20 folders. No, Ben does not have enough money to buy 20 pens and 20 folders. He only has £50, but the total cost of the items is greater than £50.

The cost of 2 pens is £2.38, which means the cost of 1 pen is £2.38/2 = £1.19. Similarly, the cost of 1 folder is £5.60/5 = £1.12. To find the total cost of 20 pens, we multiply the cost of 1 pen by 20, which is £1.19 * 20 = £23.80. Likewise, the total cost of 20 folders is £1.12 * 20 = £22.40. Adding these two amounts together, we get £23.80 + £22.40 = £46.20.

Since the total cost of the 20 pens and 20 folders is £46.20, which is less than £50, Ben does have enough money to buy these items. Therefore, Ben can afford to buy 20 pens and 20 folders with the amount of money he has.

Learn more about means here:

https://brainly.com/question/30112112

#SPJ11