Polly drinks 2 pints of milk each day. How many days does it take her to drink 1 gallon of milk?

Answer:

b

Step-by-step explanation:

ADC= CBA

Answer:

choice 4) angle ACD congruent to angle CAB

Jimmy's age = (serena age + tyler age) - 1

Answer: -49.25 feet below sea level

Explanation: 30.75 - 30.75 - 18.5 = -49.5

Hope this helps!

Answer:

-2.4

-0.8

0.2

0.9

1.6

Step-by-step explanation:

I just know.

Answer:

The perfect square ( x -1 )² = 2

Step-by-step explanation:

Explanation:-

Given equation  x² - 2 x = 1

              ⇒        x² - 2 x + 1 -1 = 1

             ⇒        x² - 2x + 1² = 1 +1

             ⇒     ( x -1 )² = 2

Answer:$20.79

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

6/12+8/12+9/12=23/12=1 11/12

Answer:

D. 1 11/12

Step-by-step explanation:

Let's set up our common denominator first. To do this we need to find a number divisible by 2, 3, and 4.

Multiply 3 by 4 and you'll come out with 12. 12 is divisible by 2.

Now, multiply your fractions by the numbers they need to get the denominator to 12.

1/2 x 6/6 = 6/12

2/3 x 4/4 = 8/12

3/4 x 3/3 = 9/12

Add your numerators.

6 + 8 + 9 = 23.

Your fraction should look like 23/12.

Subtract 12 from 23 and you should get 11. Because 12 equals a whole, we can go ahead and put one.

1 and 11/12.

Answer:

yes.

Step-by-step explanation:

because i know

Answer:

No.

Step-by-step explanation:

The table shows the possible sums of rolling the two dies. There are 5 combinations for both the sum of 6 and 8. Therefore, neither 6 nor 8 are more likely to occur.

Answer:

Step-by-step explanation:

x = -2

F(x)=1.5(2)^x=0.375 , G(x)=-3(1/4)^x=-48

x=0

F(x)=1.5(2)^x=3, G(x)=-3(1/4)^x=-3

x=1/2

F(x)=1.5(2)^x=1.06 , G(x)=-3(1/4)^x=-6

Answer:

B. 12 + 2pi cm

Step-by-step explanation:

The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.

The circle's circumference can be found by using the equation c = (d)pi

The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.

Add them all together, and you get 12 + 2pi cm.

Answer: i think B

Step-by-step explanation:

According to the given statement;

object A is moving faster by 8.184-5= 3.184

3.184 mph faster.

The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed only has a direction and no magnitude, it is a scalar quantity.

The most crucial scientific concept is measurement. Base or physical fundamental units are used to measure a wide range of measurable quantities. One such measurable quantity is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session.

According to the given valus;

Speed of object A = 12 ft per sec

I foot per second = 0.682 mph

12 ft per sec = 0.682x 12

= 8.184 mph

object В speed = 5 mph

object A is moving faster than B.

object A is moving faster by 8.184-5= 3.184

3.184 mph faster.

Hence,object A is moving faster than B by  3.184 mph.

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Answer ;

13

Step-by-step explanation:

Colin receives £18.84 more than Paul in tips.

To determine the difference in tips between Colin and Paul, we need to calculate their respective shares based on the given ratio. The ratio of their shares is 2:3, which means that for every 2 parts Colin receives, Paul receives 3 parts.

Let's assign a value to one part of the ratio. Since the total sum of tips is £71.10, we can divide it into 9 equal parts (2+3+4=9). Each part is worth £7.90 (£71.10/9).

Colin's share is 2 parts, so he receives £15.80 (2 * £7.90), while Paul's share is 3 parts, so he receives £23.70 (3 * £7.90).

To find the difference, we subtract Paul's share from Colin's share: £23.70 - £15.80 = £7.90. Therefore, Colin receives £7.90 more than Paul in tips.

It's important to note that the calculation assumes that the ratio accurately reflects the distribution of tips among the three waiters and that there are no additional factors or considerations affecting the allocation of tips.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

Time, t = 2.44 seconds

Step-by-step explanation:

Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :

\(h=-4.9t^2+12t\)

It is required to find the time after which Logan will hit the ground. At this point, h = 0

\(-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s\)

So, after 2.44 seconds it will hit the water.

The value of f(-1, 2, 0, -1) is \(-e^2 - 1.\)

To calculate f(-1, 2, 0, -1), we need to substitute these values in the given expression for f(x, y, z, w) as follows:

\(f(-1, 2, 0, -1) = (-1)(2)^2(0) - (-1)(-1)^2 - e^2(-1)^2 - (2)^2 - (0)^2 + 2\times (-1)^2\)

Simplifying the expression, we get:

\(f(-1, 2, 0, -1) = 0 + 1 - e^2 - 4 + 0 + 2\\f(-1, 2, 0, -1) = -e^2 - 1\)

Therefore, the value of f(-1, 2, 0, -1) is \(-e^2 - 1.\)

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Answer:

ok so, u need to simplify the fraction. but the x value is the number that is on the left side when ur simplifying the fraction. also its the one on top not bottom. hope this helps u!

Step-by-step explanation:

Alex will take 3.75 gallons of fuel to drive five hours to visit his family in city B.

First, let's convert the rate of 60 kilometers per hour to miles per hour:

60 kilometers per hour * (1 mile / 1.6 kilometers) = 37.5 miles per hour

Next, we'll use the rate to find out how many miles Alex will drive in 5 hours:

37.5 miles per hour * 5 hours = 187.5 miles

Now that we know the total distance Alex will drive, we can use the information about the fuel consumption (2 gallons every 50 miles) to calculate the number of gallons of fuel he will need:

187.5 miles / 50 miles per 2 gallons = 3.75 gallons

So, Alex will need 3.75 gallons of fuel to drive five hours to visit his family in city B.

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Answer:

Check Explanation

Step-by-step explanation:

The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.

Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.

These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.

Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.

The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.

Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.

In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.

Hope this Helps!!!

D and B

Explanation:

when you look at that point two lines pass through it and those two lines that pass through it are b and d.

To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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Answer:

B-26

Step-by-step explanation:

f(x)=-2(5-x)-10      f(-3)

f(-3)=-2(5-(-3))-10

f(-3)=-2(5+3)-10

f(-3)=-2(8)-10

f(-3)=-16-10

f(-3)=-26

Answer:

total Change mean how much you change it. For example, If you have 2 dollor you give your mom 1 dollor, then what is your total Change now? 2-1=1 your total Change would be 1

Hope this helps.

Answer:

The "less than" sign

6 15/28 < 6 5/9

Explanation:

The value of

The value of

Since 6.536 is less than 6.556, we use the "<" sign.

The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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Answer:

Given that,

x⁴y⁵ + x⁵y⁴ = 810

➝ x⁴y⁴(x+y) = 810 ---(1)

\( \: \)

Further given that,

x⁶y³ + x³y⁶ = 945

x³y³(x³y³) = 945

\( \: \)

We know,

\( { \boxed{{x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2}) }}\)

So, using this identity, we get,

➝ x³y³( x + y )( x² - xy + y²) = 945

---(2)

\( \: \)

On dividing equation (1) and (2), we get,

\( \longrightarrow\frac{ {x}^{2} - xy + {y}^{2} }{xy} = \frac{945}{810} \)

\( \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} - 1 = \frac{7}{6} \)

\( \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7}{6} + 1\)

\( \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{7 + 6}{6} \)

\( \longrightarrow \: \frac{ {x}^{2} + {y}^{2} }{xy} = \frac{13}{6} \)

\( \: \)

➝ 6x² + 6y² = 13xy

➝ 6x² - 13xy + 6y² = 0

➝ 6x² - 4xy - 9xy + 6y² = 0

➝ 2x( 3x - 2y ) - 3y( 3x - 2y ) = 0

➝ ( 3x - 2y ) ( 2x - 3y ) = 0

\( \longrightarrow \:{ \bold{ x = \frac{3y}{2} \: \: \: or \: \: x = \frac{2y}{3} }}\)

\( \: \)

\( \: \)

\({ \underline {\underline {\red{Case:- 1 }}}}\)

\({ \bold{When \: x = \frac{3y}{2}}} \)

In Substating the value of x in equation (1) we get,

\( \frac{81 {y}^{4} }{16} \times {y}^{4} \times ( \frac{3y}{2} + y) = 810\)

\( \frac{ {y}^{8} }{16} \times ( \frac{5y}{2} ) = 10\)

\( {y}^{9} = 64\)

\( {y}^{9} = {2}^{6} \)

\( \: \)

\( \longrightarrow \: { \bold{y = {(2)}^{ \frac{2}{3} } }}\)

\( \longrightarrow \: { \bold{x = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}\)

\( \: \)

\( \: \)

\({ \underline {\underline {\red{Case:- 2}}}}\)

\({ \bold{When \: x \: = \frac{2y}{3} \rightarrow \: \: y = \frac{3x}{2} }}\)

On Substituting the value of y in equation (2), we get,

\( \frac{81 {x}^{4} }{16} \times {x}^{4} \times ( \frac{3x}{2} + x) = 810\)

\( \frac{ {x}^{8} }{16} \times ( \frac{5x}{2} ) = 10\)

\( {x}^{9} = 64\)

\( {x}^{9} = {2}^{6} \)

\( \: \)

\( \longrightarrow \: { \bold{x \: = {(2)}^{ \frac{2}{3} } }}\)

\( \longrightarrow \: { \bold{y = \frac{3}{2} {(2)}^{ \frac{2}{3} } }}\)

The marginal revenue in the interval between six and seven jet skis is $300.

Here we are given that total revenue from six jet skis is $2,400

and total revenue from seven jet skis is $2,700

Now, marginal revenue is defined as the revenue gained or lost by producing one more additional unit of a good.

Here, the total revenue increases from $2,400 to $2,700 as we go from producing 6 jet skis to 7 jet skis.

Thus, the change in total revenue will be-

2700 - 2400

= 300

This means that the gain in revenue is $300.

Thus, the marginal revenue in the interval between six and seven jet skis is $300.

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The value of the function f(−2/3) will give the value 8/3.

A function is important to show the expression that's given.

Given: f(x) = 3x^2 −5x−2.

To find f(-2/3), we substitute x = -2/3  into the equation:

f(-2/3) = 3 x (-2/3)^2  - 5(-2/3) - 2

         = 3 x 4/9 + 10/3 -2

         = 12/9 + 10/3 - 2

         = (12 + 30 - 18) / 9

         = 24 /9

        = 8/3

Therefore, f(-2/3) evaluates to 8/3.

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Answer:1700

Step-by-step explanation:

Answer:

the correct one is the first option

Step-by-step explanation:

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