can yall help!?!?!?!?

The horse was worth it for $1800.

What is proportion?

A mathematical comparison of two numbers is called a proportion. Ratios and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion. In this case, a and b can be any two integers.

Based on the given question condition, where, 'h' denotes the amount for the horse in dollars,  the proportion can be defined as:

or,  \(\frac{19200 + h}{12} = \frac{10450+h}{7}\)

or, (19200 + h)7 = (10450 + h)12

or, 134400 + 7h = 125400 + 12h

or, 12h - 7h = 134400 - 125400

or, 5h = 9000

or, h = 9000/5 = 1800

Hence, the horse was worth $1800.

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The number of pet owners who owned a cat but not a dog is 57.

Here, we are given that a survey was conducted of 126 pet owners.

Let A = people who own a dog

A = 27

B = people who own a cat

B = 78

Thus, the people who own both a cat and a dog will be depicted as-

A ∩ B which is given to be 21

Now, here-

B = people who own only a cat + people who own both a cat and a dog

Thus, we get the following equation-

78 = people who own only a cat + 21

people who own only a cat + 21 = 78

people who own only a cat = 78 - 21

= 57

Thus, the number of pet owners who owned a cat but not a dog is 57.

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Answer:

f(x) = 12x+35

f(5) = 95 pages written at 5 months

Step-by-step explanation:

Step 1: write the slope intercept equation

f(x) = mx+b

f(x) = the value of the equation at month x

m = slope of the linear equation (pages written PER month)

x = the month

b = intercept of the equation (pages already written)

Step 2: relate given information to the variables

m = 12 pages per month

b = 35 pages already written

Step 3: update equation

f(x) = 12x+35

Step 4: solve for x = 5 months

f(5) = 12(5) + 35 = 60 + 35 = 95

507 - 30 =  477

477 / 0.4 = 1192.5

1192.4 / 8 = 149.0625 miles or 150 miles

i don't know if this is right cause the answer seems so absurd

Answer:

Step-by-step explanation:

To calculate the time it will take a car to travel 140km at an average speed of 35km/h, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 140km ÷ 35km/h

time = 4 hours

Therefore, it will take a car 4 hours to travel 140km at an average speed of 35km/h.

Answer:

ㅤ

Car will take 4 hours

ㅤ

Step-by-step explanation:

ㅤ

\(\large{\blue{\star} \: {\underline{\boxed{\pmb{\tt{Time = \dfrac{Distance}{Speed}}}}}}}\)

ㅤ

\(\large{\leadsto{\sf{Given_{(Distance)} = 140 \: km}}}\)

ㅤ

\(\large{\leadsto{\sf{Given_{(Speed)} = 35 \: km/hr}}}\)

ㅤ

\(\large{\underline{\underline{\sf{Applying \: Formula:-}}}}\)

ㅤ

\(\large{\leadsto{\sf{Required_{(Time)} = \bigg(\dfrac{\cancel{140}}{\cancel{35}}\bigg)} \: hr}}\)

ㅤ

\(\large{\purple{\boxed{\leadsto{\sf{Required_{(Time)} = 4 \: hr}}}}}\)

ㅤ

━━━━━━━━━━━━━━━━━━━━━━

\(\star \: {\large{\underline{\underline{\pink{\mathfrak{More:-}}}}}} \: \star\)

ㅤ

\(\large{\dashrightarrow{\sf{Time = \dfrac{Distance}{Speed}}}}\)

ㅤ

\(\large{\dashrightarrow{\sf{Speed = \dfrac{Distance}{Time}}}}\)

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\(\large{\dashrightarrow{\sf{Distance = Speed \times Time}}}\)

Answer:

Y-intercept is at 1 and slope of the graph is 2

Step-by-step explanation:

When plotting this equation use the formula y=mx+b. The variable B is the y intercept its where you start your graph. The variable M is the slope and for that you use rise/run.

To graph 2 you would start at 1 because it's the int. And u would go up 2 and right 1 and just follow that pattern

Answer:

\(\textsf{B.} \quad g(x)=-x^2-2\)

Step-by-step explanation:

Transformations

\(f(x)+a \implies f(x) \: \textsf{translated $a$ units up}.\)

\(f(x)-a \implies f(x) \: \textsf{translated $a$ units down}.\)

\(-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}.\)

\(f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}.\)

From inspection of the given graph, we can see that g(x) is function f(x) reflected in the x-axis and translated 2 units down.

Given function f(x):

\(f(x)=x^2\)

Reflected in the x-axis:

\(-f(x) \implies g(x)= -x^2\)

Translated 2 units down:

\(-f(x)-2 \implies g(x)=-x^2-2\)

Therefore:

\(g(x)=-x^2-2\)

Note:  

If the leading coefficient of a quadratic function is positive, the parabola opens upwards.

If the leading coefficient of a quadratic function is negative, the parabola opens downwards.

Therefore, as g(x) opens downwards, the term in x² will be negative.

Answer:

the population is 900 and the sample size is 54

Answer:

28

Step-by-step explanation:

\(number \: of \: wooden \: blocks \\ = \frac{volume \: of \: box}{volume \: of \: one \: wooden \: block} \\ = \frac{11 \times 10 \times 7}{3 \times 3 \times 3} \\ = \frac{770}{27} \\ = 28.51 \\ \)

Thus, there would be 28 full wooden blocks in the box.

Answer: 28 wooden blocks

Step-by-step explanation: First you must find the volume of the box with the formula: L × W × H so, 10 × 11 × 7 = 770 inches³. Second you must find the volume of the wooden blocks with the formula: x³ ( 'x' is the value of the side of the cube ) so, 3 × 3 × 3 = 27 inches³. Now you can divide the volume of the box by the volume of the wooden block = 770 ÷ 27 = 28.518...*

* Always only count the whole numbers.

Answer:

He has ran 15 miles and passed the bank 12 miles from his location where he is at.

Step-by-step explanation:

WHY WAS HE ROBBING A BANK?????????

Answer:

Step-by-step explanation:

His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.

After 3 hours he has gone 5(3)+3 miles, or 18 miles

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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The probability that all three balls drawn from the bag are red is 6/273.

Prοbability is a measure οf the likelihοοd οr chance that a particular event will οccur. It quantifies the uncertainty assοciated with an οutcοme in a given situatiοn οr experiment.

Given:

- Total number of balls in the bag: 4 white + 5 red + 6 blue = 15 balls

- Number of red balls: 5

For the first draw, the probability of selecting a red ball is 5 red / 15 total balls = 1/3.

After the first red ball is drawn, there are 4 red balls left and 14 total balls remaining in the bag. Therefore, for the second draw, the probability of selecting another red ball is 4 red / 14 total balls = 2/7.

After the second red ball is drawn, there are 3 red balls left and 13 total balls remaining in the bag. Therefore, for the third draw, the probability of selecting the final red ball is 3 red / 13 total balls.

To find the probability of all three balls being red, we multiply the individual probabilities together:

P(all red) = (1/3) * (2/7) * (3/13)

Simplifying the expression, we get:

P(all red) = 6/273

Therefore, the probability that all three balls drawn from the bag are red is 6/273.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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it should be +60 not +78

when you multiply 18x by X - 3 you obtain 18x² - 54x . Subtract what you have gotten from 18x²-6x you obtain 60x

Answer:

B-2

Step-by-step explanation:

It is B, because On the first month, Armando has 12 and Daniel has 8, now on the 2nd month Armando has 9 because he gives away 3 each month and Daniel now has 9 because he adds one each month, so all in all, they have the same exact number of pencils on the 2nd month

After 5 months is when Armando and Daniel had the same number of pencils.

Answer:

245% is greater

Step-by-step explanation:

12÷5=2 R2

2÷5=0.4

2.4=240%

240<245

Answer:

A

Step-by-step explanation:

Speed= Distance/time

20m/10s=2 m/s

Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.

The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square

The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.

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Answer:

0.41, 0.42, 0.43, 0.44

Step-by-step explanation:

Convert the percent to a decimal:

0.4 < x > 0.45

Now, the variable x has to be any number between 0.4 and 0.45, which include:

0.41, 0.42, 0.43, 0.44

Answer:

5/10

Step-by-step explanation:

So you can split this into two inequalities, x > 0.4 and x > 45%. First you can change the second one to decimal form, so x > 0.45. Because 0.45 is already greater than 0.4, you can just ignore the second inequality. (If x is greater than 0.45 it will automatically be greater than 0.4 so it doesn't matter).

From the 4 options you gave, 5/10, or 0.5, is the only one that is greater than 0.45.

As a result, the percentage decrease in her new monthly payment is 18.1%. (to the nearest tenth).

To begin, we must determine the original loan amount. Using the information provided, we can construct the following equation:

$55,000 = P(1 + 0.10)^4

P denotes the original loan amount.

When we solve for P, we get:

P = $38,574.09

The old monthly payment is calculated as follows:

$38,574.09 / 1000 x $9.66 = $372.64

We must now compute the new loan amount. Because Sally renewed her mortgage at a 12% interest rate, we can apply the same formula as before, but with a new time period of 16 years (since 4 years have already passed):

Now, we need to calculate the new loan amount. Since Sally renewed the mortgage at a 12% interest rate, we can use the same formula as before, but with a new time period of 16 years (since 4 years have already passed):

$55,000 = P(1 + 0.12)^16

Solving for P, we get:

P = $27,703.25

The new monthly payment can be calculated as:

$27,703.25 / 1000 x $11.02 = $305.23

To find the percent increase, we can use the following formula:

percent increase = ((new value - old value) / old value) x 100

Plugging in the values, we get:

percent increase = (($305.23 - $372.64) / $372.64) x 100 = -18.1%

So the percent of decrease in her new monthly payment is 18.1% (to the nearest tenth).

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Answer:

Step-by-step explanation:

20. r= S/2πh

21. y= 2-3/5x

22. 4.3333333 minutes

23. 80 ounces

24. x= 21

25. c= -1

Answer:

children = 87 ; adults = 366

Step-by-step explanation:

a + c = 453

2.25a + 1.25c = 932.25

a = 453 - c

2.25(453 - c) + 1.25c = 932.25

1019.25 - 2.25c + 1.25c = 932.25

-c = 932.25 - 1019.25

-c = -87

c = 87

a = 453 - 87

a = 366

The difference between the left-hand side and right-hand side of a greater-than-or-equal-to constraint is referred to as a slack. Specifically, it represents the amount by which the left-hand side of the constraint can increase while still satisfying the constraint.

In other words, the slack is the surplus of available resources or capacity beyond what is required to satisfy the constraint.

On the other hand, the difference between the optimal objective function value and the right-hand side of a greater-than-or-equal-to constraint in a linear programming problem is referred to as a shadow price. The shadow price represents the increase in the optimal objective function value for each unit increase in the right-hand side of the constraint, while all other parameters are held constant.

Therefore, the shadow price provides valuable information about the economic value of additional resources or capacity that could be allocated to the corresponding activity or resource constraint.

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To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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The values of the first term, the common difference and the recursive rule are of the sequences are;

a) first term = 1

Common difference = -5

Recursive rule = aₙ = a₍ₙ ₋ ₁₎ - 5

b) First term = 11

Common difference = 12

Recursive rule is; aₙ = a₍ₙ ₋ ₁₎ + 12

A sequence of numbers is an ordered set of number that follow a specified pattern.

a) The first term is 1

The common difference is; -4 - 1 = -9 - (-4) = -14 - (-9) = -5

The recursive rule is therefore; aₙ = a₍ₙ ₋ ₁₎ - 5

The first term, a₁ = 1

The common difference, d = -5

b) The first term is the term value that comes first in the sequence

The sequence in the question indicates that the first term is 11

The common difference is the difference between a term and the term that comes before it, therefore;

The common difference is; 32 - 11 = 35 - 23 = 47 - 35 = 12

The recursive rule is the first a term is the sum of the previous term and the common difference, therefore;

The recursive rule is; aₙ = a₍ₙ ₋ ₁₎ + 12

The above sequences are arithmetic progressions

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1) These angles are Collateral and Internal angles, so the angle 133º and (9x+2) are supplementary

This leads to:

9x+2 +133=180

9x+2 =180-133

9x+2=47 Subtract 2 units from both sides

9x =45

x =5

2)

m ∠ (9x +2) = ( 9*5 +2) =47º

The angles in blue are Corresponding angles, therefor Congruent.

The angles in red are Collateral therefore supplementary to those in blue.

That's why the angle (9x+2) and angle 133º are supplementary because they form a straight angle just as the supplement to the left of 9x +2.

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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