100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answer and equation: If we choose two whole numbers; 8 and 10

We want to divide certain numbers by 8 and 10 to get 9 remainder 5.

In this case; 77 divided by 8 is equal to 9 rem 5

and 95 divided by 10 is equal to 9 rem 5

To justify which is greater, we use decimal division;

= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)

and

= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)

Therefore; the first case is greater since 9.625 is greater than 9.5

That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.

Answer:

22-3d=x

Step-by-step explanation:

where d is the days that it melts and the amount of snow x is the snow that is left.

Answer:

The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.

The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.

Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.

He returns to pick up the goose and heads back across the river one last time.

Step-by-step explanation:

Answer:

4 trips.

Step-by-step explanation:

The man and the goose across the river, leaving the fox and the beans together, he leaves the goose on the other side and goes back across.

The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.

Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.

He returns to pick up the goose and heads back across the river one last time.

#teamtrees #WAP (Water And Plant)

Answer:

Step-by-step explanation:

18 hours : 48 hours = 3:8

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

1440.63

Step-by-step explanation:

August 23 - October 1 = 39 days

5.5%/365 in days a year

=5.5/365%

for the amount in savings is:

= Amount x ( 1 + rate) ^ number of periods

= 1,432.19 x ( 1 + 5.5/365%)^39

= $1,440.63

The characteristic of the researcher having direct control over at least one variable to both surveys and Observational .

The option that is not a characteristic of both surveys and observational studies is:

a. The researcher has direct control over at least one variable.

Surveys and observational studies have several characteristics in common, such as collecting data about a population and not proving cause and effect. However, the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies.

In a survey, the researcher collects data by asking questions to individuals or groups. They do not have direct control over the variables being studied but rather collect information based on participants' responses. The researcher's role is primarily in designing the survey, selecting the sample, and analyzing the data.

In an observational study, the researcher observes and records data without intervening or manipulating any variables. The researcher does not have control over the variables being observed; instead, they observe and document the existing conditions or behaviors.

the characteristic of the researcher having direct control over at least one variable is not applicable to both surveys and observational studies. Both methods involve data collection about a population and do not establish cause and effect relationships, but control over variables is not a shared characteristic.

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Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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Answer:

\( 6.7 -0.674 *1.1 =5.96\)

\( 6.7 +0.674 *1.1 =7.44\)

Step-by-step explanation:

Let X the random variable that represent the  head breadths of a population, and for this case we know the distribution for X is given by:

\(X \sim N(6.7,1.1)\)  

Where \(\mu=6.7\) and \(\sigma=1.1\)

We want the range of the middle 50% values on the distribution. Since the normal distribution is symmetrical we know that in the tails we need to have the other 50% and on each tail 25% by symmetry.

We can use the z score formula given by:

\(z=\frac{x-\mu}{\sigma}\)

The critical values that accumulates 0.25 of the area on each tail we got:

\( z_{crit}= \pm 0.674\)

And if we solve x from the z score we got:

\( x = \mu \pm z \sigma\)

And replacing we got:

\( 6.7 -0.674 *1.1 =5.96\)

\( 6.7 +0.674 *1.1 =7.44\)

Possible Answer 1:

Positive values represent elevations above sea level, while negative values are elevations below sea level. For example, a building may be +100 or simply 100 feet high. Another example: going scuba diving could lead the diver to reach a elevation of -10 meters. The value 0 is the exact location of sea level itself. In other words, if your elevation is 0, then you are at the surface of the water.

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Possible Answer 2:

Often in money, loans and borrowing happens. If so, then we use negative numbers to indicate debt. If someone has a bank balance of say -10 dollars, then they owe the bank $10. Positive values mean that they don't owe the money and it's entirely theirs to spend however they want. A balance of 0 means they neither have money, nor do they owe anyone.

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Possible Answer 3:

Let's say we define negative distance to mean that you walk some amount to the left (to match up with the fact the negative x values point left). So for instance, we could say the number -14 indicates you walked 14 feet to the left. Positive values on the other hand will mean you walk some amount to the right. Drawing an x axis number line is very recommended. The value 0 indicates that no walking has occurred at all.

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Of course, when you write your answer, it should be in your words only. Those answers posted above are just a springboard to get you started.

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Answer:

Step-by-step explanation:

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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Answer:

264 m^3

Step-by-step explanation:

4 m * 6 m * 11 m = 264 m^3

Answer:

264

Step-by-step explanation:

Google!

Hope this helps. Good luck!

The solution that can be used to fill in location A is 45%.

In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.

To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.

In this case, the concentration of 45% is closer to location A than the concentration of 20%.

This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.

Therefore, the solution that can be used to fill in location A is 45%.

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Answer:

70

Step-by-step explanation:

7/7=х/70

7/7=1, so x/70=1

x=1*70

x=70

Answer:

It's also 70.

Step-by-step explanation:

You are trying to fill in the blank with a number that would make both fractions equivalent. So you can see that the the denominators are 7 and 70. Basically just take 70 divided 7 which is 10. So now you know that both numerator and denominator are multiplied by 10 so 70 is what you fill in to the blank.

Answer:

  10.770

Step-by-step explanation:

You want the distance between points (-12,20) and (-22,16) using the distance formula.

The distance formula gives you the distance (d) between points (x1, y1) and (x2, y2).

  d = √((x2 -x1)² +(y2 -y1)²)

For the given points, the distance is ...

  d = √((-22-(-12))² +(16 -20)²) = √((-10)² +(-4)²) = √(100+16)

  d = √116 = 2√29 ≈ 10.770330

The distance between the given points is about 10.77 units.

Answer:

$1

Step-by-step explanation:

5 cans of corn  --  5 * $1 = $5

4 cases of water  --  4 * $4 = $16

4 pounds of meat  --  4 * $2 = $8

Paid with  --  $30

Change required  --  30 - 8 - 16 - 5 = $1

John's mom will get $13 change back from the grocery shopkeeper.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

5 cans of corn ⇒  $1.00/can

So cost  5 × 1 = $5

4 cases of water ⇒ $4.00 (remember not given "each")

So cost ⇒ $4

4 pounds of meat ⇒ $2.00 per pound

So cost 4 × 2 = $8

Now,

Total cost = 5 + 4 + 8 = $17

So,

Change = 30 - 17 = $13

Hence "John's mom will get $13 change back from the grocery shopkeeper".

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Answer:

C

Step-by-step explanation:

i took the assignment

Answer:

  A, C, D, E

Step-by-step explanation:

According to the rational root theorem, any rational roots will be of the form ...

  ±(divisor of the constant)/(divisor of the leading coefficient)

The constant is 8, and its divisors are 1, 2, 4, 8.

The leading coefficient is 6, and its divisors are 1, 2, 3, 6.

So, no rational root will have 3 in the numerator, eliminating choices B and F. The remaining choices are possible rational roots:

Answer:

\(d=-18\)

Step-by-step explanation:

The only way we can achieve an extraneous solution is by squaring both sides. Example:

\(\sqrt{-1}=x, \\\sqrt{-1}^2=x^2,\\1=x^2,\\x=1\text{ [extraneous]}\)

Square both sides of the equation:

\(\sqrt{\frac{1}{2}y-1}^2=(\frac{3}{4}y+d)^2\)

Substitute \(y=20\):

\(9=(15+d)^2\)

Expand the right side using \((a+b)^2=a^2+2ab+b^2\):

\(9=15^2+2(15)(x)+x^2,\\x^2+30x+225=9\)

Subtract 9 from both sides:

\(x^2+30x+216=0\)

Factor:

\((x+12)(x+18)=0,\\\begin{cases}x+12=0, x=\boxed{-12},\\x+18=0,x=\boxed{-18}\end{cases}\)

Substitute both solutions to see which work:

\(\sqrt{\frac{1}{2}(20)-1}=(\frac{3}{4}(20)+d), \\\\d=-12\checkmark\\d=-18\times\)

The solution \(d=-18\) yields \(3=-3\) which does not work and therefore is extraneous.

We can use the midpoint formula to calculate the price elasticity of demand:

Price elasticity of demand = [(Q2 - Q1) / ((Q2 + Q1) / 2)] / [(P2 - P1) / ((P2 + P1) / 2)]

where:

Q1 = initial quantity demanded = 15,000

Q2 = new quantity demanded = 20,000

P1 = initial price = P100

P2 = new price = P90

Plugging in these values, we get:

Price elasticity of demand = [(20,000 - 15,000) / ((20,000 + 15,000) / 2)] / [((90 - 100) / ((90 + 100) / 2))]

Price elasticity of demand = [(5,000 / 17,500)] / [(-10 / 95)]

Price elasticity of demand = -0.2857 / -0.1053

Price elasticity of demand = 2.71

Since the absolute value of price elasticity of demand is greater than 1, the demand is considered elastic. This means that the percentage change in quantity demanded is greater than the percentage change in price. In other words, consumers are very sensitive to price changes for Bluetooth speakers, and a small decrease in price leads to a large increase in the quantity demanded.

Answer: To determine if the ordered pair (x, y) is a solution of the given system of equations, you need to substitute the values of x and y into each equation and check if both equations hold true.

Given system of equations:

2x - y = 1

5x - 3y = 1

Let's substitute the values of x and y from the ordered pair (x, y) into each equation:

For equation 1:

2x - y = 1

Substituting x = 2 and y = -1:

2(2) - (-1) = 4 + 1 = 5

For equation 2:

5x - 3y = 1

Substituting x = 2 and y = -1:

5(2) - 3(-1) = 10 + 3 = 13

Now, compare the results of each equation with the right-hand side of the respective equation:

For equation 1: 5 (left side) ≠ 1 (right side)

For equation 2: 13 (left side) ≠ 1 (right side)

Since both equations do not hold true when substituting the values of x = 2 and y = -1, the ordered pair (2, -1) is not a solution of the given system of equations.

Step-by-step explanation: Hope this helps!

Answer:

1) Solving for x in Radians

x=1.21991691+ πn, for any integer n

2) Solving for x in Degrees

x=69.89609063+180n, for any integer n

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

Answer:  Starting with 2(tan x - sqrt(3)) = 2:

First, divide both sides of the equation by 2 to simplify:

tan x - sqrt(3) = 1

Next, add sqrt(3) to both sides:

tan x = 1 + sqrt(3)

To solve for x, we need to take the arctan of both sides:

x = arctan(1 + sqrt(3))

In degrees, this is:

x = 75 degrees

In radians, this is:

x = 5π/12 radians

Step-by-step explanation: can i get brainliest pretty pls

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer: C

Step-by-step explanation:

Given

Displacement vs time graph is shown with Point from A to G

from A to C displacement increases with time such that the slope of the x-t graph is positive

from C to D it is almost zero; from D to F it is negative

Also, slope of x-t graph is velocity

Thus, the positive velocity is seen in A to C

Answer:

x = 3

Step-by-step explanation:

Given system of equations:

\(\begin{cases}y=\dfrac{2}{3}x+1\\\\y =\dfrac{4}{3}x-1\end{cases}\)

To solve, use the substitution method:

\(\implies \dfrac{2}{3}x+1=\dfrac{4}{3}x-1\)

Add 1 to both sides:

\(\implies \dfrac{2}{3}x+1+1=\dfrac{4}{3}x-1+1\)

\(\implies \dfrac{2}{3}x+2=\dfrac{4}{3}x\)

Subtract 2/3 x from both sides:

\(\implies \dfrac{2}{3}x+2-\dfrac{2}{3}x=\dfrac{4}{3}x-\dfrac{2}{3}x\)

\(\implies 2=\dfrac{2}{3}x\)

Multiply both sides by 3:

\(\implies 3 \cdot2=3 \cdot \dfrac{2}{3}x\)

\(\implies 6=2x\)

Divide both sides by 2:

\(\implies \dfrac{6}{2}=\dfrac{2x}{2}\)

\(\implies 3=x\)

Therefore:

\(\implies x=3\)

We will use graphical method to solve for x and y

Graph attached

The solution is

Answer:

this hard

Step-by-step explanation:

Answer: C

Step-by-step explanation: