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Which two statements, if true guarantee that is congruent to B?
Choose 2 answers
FGBF
DHBF
HIDH
HI FG

Answer:

65 x 1.45= 94.25

..........

A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.

Speed limits on road traffic, as used basically to set the legal maximum speed at which vehicles are permitted to utilize on a given stretch of road.

Now generally, speed limits are normally indicated on traffic signs reflecting the maximum allowable speed in kilometers per hour (km/h) or eevn miles per hour (mph). They are primarily set by the legislative bodies of national or provincial governments and then enforced by law enforcement agencies. This suggests that speed limits varies from road to road and is even absent in some certain areas.

Now, in this question we are told that the posted speed limit is 55 mph. Thus, from our definitions of speed limits above it is clear that A posted speed limit of 55 mph means that: You may drive 55 mph only under favorable conditions.

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After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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By using the unitary method , the cost of one shotgun shell to determine that the cost of shooting the last 6 ducks would be $6.86.

The unitary method involves finding the value of one unit and then using that value to find the value of a given number of units. In this problem, we can use the number of shotgun shells as the unit of measurement. Let's say Bill used x shotgun shells to shoot 8 ducks on his previous hunting trip. Therefore, the cost of shooting 8 ducks would be the cost of x shotgun shells.

Now, we know that Bill shot 14 ducks using the same amount of shotgun shells he used on his previous trip. Therefore, the cost of shooting 14 ducks would be the cost of x shotgun shells. We can use a proportion to find the value of x.

8 ducks can be shot using x shotgun shells, so 14 ducks can be shot using (14/8) x x shotgun shells.

Simplifying this expression, we get:

(14/8) x x = 14 ducks

x = (8/14) x 14 ducks

x = 8/7 ducks

So, Bill used 8/7 shotgun shells to shoot 1 duck on his previous hunting trip.

Now, to find the cost of shooting the last 6 ducks, we need to determine how many shotgun shells he would need. Using the unitary method again, we can say:

1 duck can be shot using 8/7 shotgun shells, so 6 ducks can be shot using 6 * (8/7) shotgun shells.

Simplifying this expression, we get:

6 x (8/7) = 48/7 shotgun shells

Therefore, to shoot the last 6 ducks, Bill would need 48/7 shotgun shells. To determine the cost, we need to know the cost of one shotgun shell. Let's say the cost of one shotgun shell is $1. Then the cost of shooting the last 6 ducks would be:

(48/7) x $1 = $6.86 (rounded to the nearest cent)

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Now in pot experiments the most important point is to have the same number of plants per pot. To achieve this you plant more seeds and then you thin them after emergence to keep the same number of uniform plant per pot.

Now for calculating fertilizer rate of application in pots, you calculate according to soil weigh as you correctly indicated 2.2 M Kg/ha. You don't have to weigh the soil, just use the bulk density to calculate weigh from volume. Forget about space in pot experiment. you will have a lot of problems since pots have different shapes and forms!

Another recommandation mix soil and fertilizers for each treatment for the number of replicate pots. If you are using 5 replicates pot of 2 Kg soil/ pot, mix the fertilizers you want to apply to the 5 pots with 10 Kg of soil and after mixing well (preferably mechanically) distribute the same volume of soil in each one of the 5 pots.

If the amount of fertilizer to apply is small mix with some soil first and mix well before mixing to the whole soil. The idea is to have as much as possible, a uniform distribution.

You might also consider fractionating you nitrogen source if it will be leached.

Now according to the exact aim of your work other method sof fertilizationare possible.

Finally remember that maize is a mycorrhizal plant and this beneficial symbiosis can be influenced by the amount of soluble P you are adding.

Wishing you a lot of success in your work

hope it will helps you

ashley here

Answer:

10 or 10/1

Step-by-step explanation:

1/1000 * 10= 0.01 = 1/100

\(Let \: the \: two \: points \: be \: \underline{\underline{A( x_{1} ,y_{1})}} \: and \: \underline{\underline{B \: ( x_{2}, y_{2})}}\)

Then ,

\(\boxed{d(AB) = \sqrt{ {( x_{2} - x_{1}) }^{2} + {( y_{2} - y_{1}) }^{2} } }\\ \)

where , d(AB) is the distance between the two points A and B.

hope helpful! :)

Answer:

the Distance Between the two points a and b

Step-by-step explanation:

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

The pattern is multiply by 2 and add 3. The next number would be 109.

Answer: A number which is divided by 5, with the result as 50 less than if the number had been divided by 6 would be; -1500

How to solve Algebra Word Problems?

Let the number be x. We are asked that it is divided by 5, and the result is 50 less than if the number had been divided by 6;

(x/6) - (x/5) = 50

Multiply by 30 to get;

5x - 6x = 1500

-x = 1500

x = -1500

Let the older turtle be represented x and the younger one be y.

Todays age,

Older turtle = 11y years

Younger turtle = y years

Also the equation form as;

11y + 24 = 7(y + 24)

11y + 24 = 7y + 168

11y - 7y = 168 - 24

4y = 144

y = 144/4

y = 36

Thus;

Age of older turtle today = 396 years

Age of younger turtle today = 36 years

Therefore,

3(36 + t) = 396 + t

108 + 3t = 396 + t

2t = 292

t = 292/2

t = 146 years

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Step-by-step explanation:

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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Answer:

see below

Step-by-step explanation:

z^2 = 1

Take the square root of each side

sqrt(z^2) = sqrt(1)

    z = ±1

The solution are +1 and -1

Answer:

sure whats the problem

Step-by-step explanation:

Explanation:

* Demonstrate that the related angles are the same.

* Demonstrate that different interior angles are equivalent.

* Demonstrate the adjacent interior angles are supplementary.

* Demonstrate the adjacent external angles are not mutually exclusive.

* Show that the lines in a plane are perpendicular to the same axis.

<1 and <8 are the same because they are alternate exterior angles that means that they are

Opposite sides of the transversal.

And that they are on the exterior side of the parallel lines.

Now because of that they have the same measures no matter what so would

<2 and <7

<3 and <6

<4 and <5

(I can't show the angle symbol thing so I'll just say the name)

We have : QPS = TPR
And we have to prove : QPR = TPS

QPR + RPS = QPS
TPS + RPS = TPR

Since QPS = TPR, QRP + RPS = TPS + RPS

Minus both side by RPS :     QRP = TPS

Answer:

x= 134 ± 2

Step-by-step explanation:

The ± symbol is used to mark the range of values that should be expected from the first number, 134.

Answer:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

Step-by-step explanation:

A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.

Rule: (x - 3, y - 2)

1. Using the given rule, find the new coordinates of the new image:

P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)

Q': (7, 4) ➺ (7 - 3, 4 - 2)  ➺ (4, 2)

R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)

S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)

New coordinates:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

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To find the vector form of the general solution of the linear system Ax = b, we can use the equation Xp + Xn, where Xp is a particular solution and Xn represents the nullspace (or the general solution) of the homogeneous equation Ax = 0.

Given the system Ax = b, where A is the coefficient matrix and x is the vector of variables, we can write the augmented matrix [A|b] and perform row operations to bring it to its reduced row-echelon form [R|d]. The resulting equations can be used to find a particular solution Xp.

Now, to find the vector form of the general solution of Ax = 0, we can use the nullspace of the matrix A, which consists of all solutions that satisfy Ax = 0.

Let's work through the provided linear system:

Convert the system into augmented matrix form [A|b]:

[A|b] =

| 1 0 2 1 |

| 0 1 3 0 |

| 0 0 3 0 |

Use row operations to reduce the augmented matrix to its reduced row-echelon form [R|d]:

[R|d] =

| 1 0 0 1 |

| 0 1 0 0 |

| 0 0 1 0 |

From this reduced row-echelon form, we can see that the system is consistent and has a unique solution.

Find the particular solution Xp:

From the reduced row-echelon form, we can determine the values of the variables:

X1 = 1

X2 = 0

X3 = 0

Therefore, the particular solution Xp = [1, 0, 0].

Find the general solution Xn of Ax = 0:

Since the system Ax = 0 corresponds to the homogeneous equation, we can use the nullspace of the matrix A to find the general solution.

The nullspace of A is obtained by solving the equation Ax = 0, which can be written in augmented matrix form as [A|0]:

[A|0] =

| 1 0 2 0 |

| 0 1 3 0 |

| 0 0 3 0 |

Using row operations to bring the matrix to its reduced row-echelon form, we get:

[R|d] =

| 1 0 0 0 |

| 0 1 0 0 |

| 0 0 1 0 |

From the reduced row-echelon form, we can see that the system is consistent and has a unique solution.

Therefore, the general solution Xn = [0, 0, 0].

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The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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In the given recipe, There are 4/9 cups of sugar should be used for every 1 cup of flour to maintain the ratio.

What are the ratio?

A ratio in maths is a comparison of two or more numbers that shows how big one is big in comparison to the other one. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.

A recipe requires for 1/3 cup of sugar for every 3/4 cups of flour.

Let x be the sugar that should be used for every 1 cup of flour.

The ratio for the given quantities and required quantities will be same,

So, The cups of sugar required for every 1 cup of flour is given by:

\(\frac{x}{1} = \frac{1/3}{3/4}\)

\(\frac{x}{1} = \frac{4}{9}\)

x = 4/9

Therefore, 4/9 cups of sugar is required for 1 cup of flour.

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Answer:

0.95, 2.15

Step-by-step explanation:

cookie-x

ice bar-y

7x+2y=10.95 (*3)

4x+3y=10.25 (*2)

21x+6y=32.85

8x+6y=20.5

21x-8x=32.85-20.5=12.35

13x=12.35

x=0.95

2y=10.95-7*0.95=4.3

y=2.15

Pippin has 37.5% of her sports drink left.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Pippin has 32 - 20 = 12 ounces of sports drink left.

To find the percentage of ounces Pippin has left, you need to divide the number of ounces left by the original amount of sports drink (32) and then multiply by 100 to get the percentage:

(12/32) x 100 = 37.5%

Therefore, Pippin has 37.5% of her sports drink left.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

6.   A    5c + 3e + 2

7.   A    w = P/2 - 125

8.   D   point S

Step-by-step explanation:

6.

3 triangles + 5 hexagons + 2 squares =

= 3e + 5c + 2(1)

= 5c + 3e + 2

7.

perimeter = P

length = 250 m

width = w

P = 2L + 2W

P = 2(250) + 2w

2w = P - 500

w = (1/2)(P - 500)

w = (P - 500)/2

w = P/2 - 250

Incorrect expression: w =  P/2 - 125

8.

X = 5

Y = -25

X - Y = 5 - (-25) = 5 + 25 = 30

S = 30

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

Xavier did not get an A for the year.

Step-by-step explanation:

We solve this question using z score formula

= z = (x-μ)/σ, where

x is the raw score = ?

μ is the population mean = 85

σ is the population standard deviation = 5

z = 1.8

Hence

1.8 = x - 85/5

Cross Multiply

1.8 × 5 = x - .5

9 = x - 85

Collect like terms

9 + 85 = x

x = 94

Xavier scored 94.

He needs at least 95 to get an A.

Therefore, we can conclude that Xavier did not get an A for the year.

To calculate how much Brianne needs to save each month, we'll subtract her current savings and her monthly income from her total expenses.

1. Total expenses:

  - Airfare: $1500

  - Backpack: $150

  - Spending money: $1000

  Total expenses: $1500 + $150 + $1000 = $2650

2. Current savings: $40

3. Monthly income:

  - Job at Porto's: $50/week * 4 weeks = $200/month

  - Extra chores: $1200/month

  Total monthly income: $200 + $1200 = $1400

4. Amount needed to save each month:

  Total expenses - Current savings - Monthly income = $2650 - $40 - $1400 = $1210

Therefore, Brianne needs to save $1210 each month to reach her total expenses for the European trip leaving in 5 months.

If she wanted to leave in 3 months instead, she would have less time to save. In that case, the calculation would be as follows:

1. Total expenses: $2650

2. Current savings: $40

3. Monthly income: $1400

4. Number of months: 3

5. Amount needed to save each month:

  (Total expenses - Current savings) / Number of months

  = ($2650 - $40) / 3

  ≈ $870 / 3

  ≈ $290

Therefore, if Brianne wanted to leave in 3 months, she would need to save approximately $290 each month to reach her total expenses for the European trip.