In Mrs. Clarito's farm, the ratio of goat to cow is 5:6. If there are 25 goats, how
many cows does she have?
A) 10
B) 20
C) 30
D) 40​

D, divide and figure out how much the picture is increasing lengthwise and use that to find the wideness

The dimension of the enlarge picture will be 150 inches (3.81 meters) wide and 180 inches (4.57 meters) long. Then the correct option is D.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

A photograph measures 5 inches (0.13 meters) wide and 6 inches (0.15 meters) long.

The picture is enlarged to fit on a wall.

If the new larger picture is 150 inches (3.81 meters) wide.

Then the scale factor of the enlargement will be

Scale factor = 150 / 5

Scale factor = 30

Then the length of the picture will be

The length of the picture is given by the product of the scale factor and original length.

Length = 30 x 6

Length = 180 inches (4.57 meters)

Then the dimension of the enlarge picture will be 150 inches (3.81 meters) wide and 180 inches (4.57 meters) long.

Then the correct option is D.

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The work done by stretching the spring from 16 inches to 25 inches is approximately 30.46 pound-inches.

We can start by calculating the spring constant k using Hooke's law.

F = kL0

k = F/L0 =12/13

Hooke's law states that the force required to compress or stretch a spring is directly proportional to the distance compressed or stretched, provided the elastic limit is not exceeded.The spring constant k can also be used to calculate the force required to compress or stretch the spring.

F = k (L-L0)

Where L is the length of the spring after being stretched or compressed.

Using the above equation, we can calculate the force required to stretch the spring from 16 inches to 25 inches.

F1 = k (16-13) = 12/13 * 3 = 36/13 pounds

F2 = k (25-13) = 12/13 * 12 = 144/13 pounds

Now, we can use the work-energy principle which states that the work done by a force is equal to the change in kinetic energy of the object the force is acting on, provided there is no change in potential energy.

W = ΔK = (1/2) m (v2 - v1)

where ΔK is the change in kinetic energy of the object, m is its mass, v2 is its final velocity, and v1 is its initial velocity. In this case, the object is the spring and its mass is negligible.

Therefore, the work done by stretching the spring from 16 inches to 25 inches is

W = (1/2) k [(25-13)2 - (16-13)2]

W = (1/2) (12/13) [(12)2 - (3)2] = 396/13 ≈ 30.46 pound-inches

The work done by stretching the spring is approximately 30.46 pound-inches.

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Answer:

57.57% (round probably) for allergies and 42.42% for non allergies

Step-by-step explanation:

To find the percentage,

take the amount of people who have allergies and put it over the total number of people who speak two languages (33) and divide

19/33 x 100 = 57.57% (repeating so id round up to tenths)

same with no allergies

14/33 x 100 = 42.42% (also repeating)

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

By identifying the vertex of the function, we conclude that it is decreasing for:

\(x < -3\)

Here we have an absolute value function:

\(f(x) = -|x + 3| - 4\)

This absolute value function has a positive coefficient, which means that the function opens downwards, so it looks like a regular "down" letter.

The function is decreasing when, reading from right to left, we see that the line goes downwards. And for functions like this, this happens for values of x smaller than the vertex x-value.

For:

\(f(x) = -|x + 3| - 4\)

The vertex is at (-3, -4)

Then the function is decreasing for \(x < -3\)

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Answer:

(x,y)=(-4,3)

Step-by-step explanation:

[2 5][x] = [7]

[1  3][y]    [5]

[2 5 | 7] <-- Write the augmented matrix

[1  3 | 5]

[1 5/2 | 7/2] <-- (1/2)R1

[1   3  |   5  ]

[1 5/2 | 7/2] <-- R2-R1

[0 1/2 | 3/2]

[1 5/2 | 7/2] <-- 2R2

[0  1   |   3  ]

[1  0 | -4  ] <-- R1-(5/2)R2

[0  1 |  3  ]

RREF is achieved using Gaussian-Jordan Elimination. Therefore, the solution is (-4,3).

Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

After figuring out the given issue, we discovered that the original square's area and the dilated square's area differ by 32 square centimeters.

Square Area = Side x Side. Hence, Side2 square units are equivalent to the area of the square. and four side units make up a square's perimeter.

The formula for calculating the area of a initial square with sides that are 2 centimeters long is:

A = s²

A = 2²

A = 4 square centimeters

The revised side length of this square after dilation by a scale factor of 3 is:

s' = 3s

s' = 3(2)

s' = 6 centimeters

Calculations for the dilated square's area are as follows:

A' = s'²

A' = 6²

A' = 36 square centimeters

The area of a dilated square differs from the size of the original square by:

A' - A = 36 - 4

A' - A = 32 square centimeters

As a result, the original square's area and the dilated square's area differ by 32 square centimeters.

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Answer:

There are several ways to put the coins one is 16 quarters and 5 dimes but 18 quarters could work as well

Step-by-step explanation:

400/25=16

50/10=5

450/25=18

i cant see the question good enough

Answer:

1. y = 2x

2. y = 1/5x

Step-by-step explanation:

To write the equation of the line we need to find the slope and the y-intercept.

1. slope = y/x

4/2 = 2

y = 2x or y = 2x + 0

2.

1/5

y = 1/5x

Given data: Outcome 0 1 2 Probability 0.26 0.35 0.39a)

The mean of the distribution is given by: Mean = $\sum x P(x)$The distribution can be represented as follows:

Outcome(x) Probability(P(x)) x P(x) 0 0.26 0 1 0.35 0.35 2 0.39 0.78 $\sum x P(x)=0+0.35+0.78=1.13$

Therefore, Mean = $\frac {\sum xP(x)}{n}=\frac {1.13}{3} =0.3767 ≈ 0.377$ (rounded to three decimal places)

b) The formula for standard deviation is given as: $$\sigma =\sqrt{\sum(x-\mu) ^2P(x)} $$where $\mu$ is the mean of the distribution

Substituting the given values in the above formula, we get:

\begin{align*}\sigma &=\sqrt{\sum(x-\mu) ^2P(x)} \\\sigma &=\sqrt{\sum(x-0.377) ^2P(x)} \end{align*} Outcome(x) Probability(P(x)) $x-μ$ $P(x)(x-μ)^2$ 0 0.26 -0.37746 0.03665 1 0.35 -0.02746 0.00076 2 0.39 1.01254 0.15709 Total 1 0.19450$$\sigma =\sqrt {0.1945}=0.441 ≈ 0.441$$

Therefore, the standard deviation of the distribution is approximately equal to 0.441 (rounded to three decimal places).

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this is my answer, if you dont understand, dont be afraid to ask, hope this helps!

The number of passcodes that can be formed from the letters {a, b, c, d} if each letter can only be used once is  24 according to permutations.

ni this problem we are not allowed to repeat the letters, so:  we will be referring to the permutations,  where Permutations are basically for the problems where the order or we can the arrangement matters

the formula for permutation is ⁿPr=n!/(n-r)! where n is the number of given letters and r is the number of letters to be used.here n and r are 4, substituting the values on the above  formula,  we get

⁴P₄=4!/(4-4)! = 4! = 4*3*2*1=  24

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Answer:

See below

Step-by-step explanation:

Looks like positive linear to me....slope is up and to the right (positive) and the line drawn shows it ot be approx linear

According to the banker's rule, Amber can afford to borrow a maximum of $96,900.

The banker's rule is a guideline used by some lenders to determine the maximum amount that an individual can borrow based on their annual income.

According to the banker's rule, the maximum amount that can be borrowed is typically a multiple of the borrower's annual income.

The exact multiple used in the banker's rule may vary depending on the lender and the borrower's financial situation, but a common multiple used is 3.

Therefore, to calculate the amount that Amber can afford to borrow using the banker's rule, we can multiply her annual income by 3.

Given that Amber makes $32,300 annually, we can calculate the amount that can be borrowed using the banker's rule as follows:

Maximum amount that can be borrowed = Annual income * Banker's rule multiple

Maximum amount that can be borrowed = $32,300 * 3

Maximum amount that can be borrowed = $96,900

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Answer:it’s a : y= -2x +10

Step-by-step explanation:

I just took the test and sorry I’m late

Step-by-step explanation:

y= -2x +10

The new area of the parallelogram is 207 cm², the area of a parallelogram is calculated by multiplying the base by the height. In this problem, the base is 18 cm and the height is 23 cm.

So, the original area of the parallelogram is 18 * 23 = 414 cm².If the base is decreased by 50%, the new base will be 18 / 2 = 9 cm. The new area of the parallelogram is then 9 * 23 = 207 cm².

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The indicated probability is 0.07548.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with , as long as .

\(E(X) = np\\\\Var(X) = np(1-p)\)

we have that:

n = 84, p = 0.4: P(X> 26)

np = 84 x 0.4 = 33.6

n(1 - p) = 84 x 0.6 = 50.4 .

we can use the online binomial probability distribution calculator :

P(X≥ 26 ) = 0.07548

Hence the indicated probability is 0.07548.

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The value of Ra that makes the configuration valid is approximately 38.4.

To calculate the value of ra in order to have a valid configuration, we can use the voltage divider formula. The voltage divider formula is given by:

Vout = (Ra / (Ra + Rb)) * Vin

In this case, Ra is the unknown value we need to find, Rb is the sum of r2 and r3, and Vin is vs. We are given the following values:

R1 = 16
r2 = 2.8
r3 = 2
vs = 72
Vout = 64

First, let's find Rb:

Rb = r2 + r3 = 2.8 + 2 = 4.8

Now, we can rearrange the voltage divider formula to solve for Ra:

Ra = (Vout / Vin) * (Ra + Rb)

Substituting the given values:

Ra = (64 / 72) * (Ra + 4.8)

Simplifying the equation:

Ra = (8 / 9) * (Ra + 4.8)

Multiplying both sides by 9 to eliminate the fraction:

9 * Ra = 8 * (Ra + 4.8)

9Ra = 8Ra + 38.4

Subtracting 8Ra from both sides:

Ra = 38.4

Therefore, the value of Ra that makes the configuration valid is approximately 38.4.

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f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Se asume que en la pregunta: "El resto de los pasteles no se venció", se quiso decir en realidad: "El resto de los pasteles no se vendió".

Answer:

La parte del total que aún está disponible es \( \\ \frac{11}{30}\).

Step-by-step explanation:

El total de los pasteles que se compraron es la suma de las fracciones del total que compró Rodrigo, \( \\ \frac{1}{5}\), de la fracción del total que compró Carlos, \( \\ \frac{1}{10}\), y de la fracción del total que compró Francisca, \( \\ \frac{1}{3}\).

Numericamente hablando, Rodrigo, Carlos y Francisca compraron:

\( \\ \frac{1}{5}+\frac{1}{10}+\frac{1}{3}\) [1]

Del total de los pasteles que vende la Señora Carmen.

La suma de las fracciones en [1] se puede realizar de distintas maneras, una posible es la siguiente:

Debemos recordar que, en general, en la suma de fracciones tenemos los siguientes casos:

Fracciones con denominadores diferentes

Fracciones con iguales denominadores

De esta forma:

\( \\ (\frac{1}{5}+\frac{1}{10})+\frac{1}{3}\)

Se desarrolla primero la operación entre las fracciones dentro del paréntesis conforme a lo explicado anteriormente:

\( \\ (\frac{1*10+5*1}{5*10})+\frac{1}{3}\)

\( \\ (\frac{10+5}{50})+\frac{1}{3}\)

\( \\ \frac{15}{50} + \frac{1}{3}\)

Se divide el numerador y el denominador de la fracción \( \\ \frac{15}{50}\) entre cinco (5):

\( \\ (\frac{\frac{15}{5}}{\frac{50}{5}})+\frac{1}{3}\)

Resultando:

\( \\ (\frac{3}{10})+\frac{1}{3}\)

Esta fracción se suma a la siguiente y se procede de igual manera:

\( \\ \frac{3}{10}+\frac{1}{3}\)

\( \\ \frac{3*3+10*1}{10*3}\)

\( \\ \frac{9+10}{30}\)

\( \\ \frac{19}{30}\)

Tenemos entonces que:

De esta manera, la parte que aún está disponible es:

\( \\ 1 - \frac{19}{30}\)

Podemos hacer \( \\ 1 = \frac{30}{30} = 1\) (o un número dividido por si mismo es igual a la unidad) para que la operación se haga más fácilmente (caso de suma de fracciones con iguales denominadores):

\( \\ \frac{30}{30} - \frac{19}{30}\)

\( \\ \frac{30 - 19}{30}\)

\( \\ \frac{11}{30}\)

El número once es también un número primo y la fracción no se puede simplificar más porque el 30 no es divisible por 11.

Por lo tanto, la parte que aún está disponible es la fracción \( \\ \frac{11}{30}\), la cual podría interpretarse como once (11) partes de las treinta (30), \( \\ \frac{11}{30}\),  que estaban disponibles antes de que Rodrigo, Carlos y Francisca compraran los pasteles.

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

Triangles is a 3-D shape with 3 sides and angles.  The types of triangle that we have include;

Since all the angles of the first triangle are different, it is a scalene triangle, Similarly, since all the sides of the second triangle is also different, it is a scalene triangle.

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Answer:

9

Step-by-step explanation:

Answer:

C = 288 kg

Step-by-step explanation:

Given:

C = 72m^2/4

where,

C = approximate number of calories

m = animal mass in kilograms.

Find C when m = 16

C = 72m^2/4

= 72 * (16)^2/4

= 72 * (16)^1/2

= 72 * √16

= 72 * 4

= 288

C = 288 kg

Answer: B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

80*25=2000

2000+400=$2400

Answer:

the answer of the value of ten is 10000

Step-by-step explanation:

Answer:

Well the answer to the line is 55,000

Step-by-step explanation:

Not sure how to explain this. But if you count over to ones tens hundreds thousands and then ten thousands you should be at 55,000.

a)1. True

2.False

3.True

4).False

b)Without knowing the sample size and standard deviation, we cannot determine the exact 90% confidence interval.

(a) For the content loaded Central Middle School data:

1. True: There is a 95% probability that μ (mean height) is between 54 and 58 inches.

This is the correct interpretation of the 95% confidence interval.

2. False: The confidence interval doesn't tell us the probability of the true mean or the margin of error being exactly as given. It only tells us the range where the true mean is likely to fall with 95% confidence.

3. True: If we took many additional random samples of the same size and from each computed a 95% confidence interval for μ, approximately 95% of these intervals would contain μ. This is the definition of a 95% confidence interval.

4. False: It's incorrect to say that μ would fall between 54 and 58 95% of the time. The correct interpretation is that if we computed multiple 95% confidence intervals, approximately 95% of those intervals would contain the true mean height.

(b) To determine the 90% confidence interval based on the same data:

Without knowing the sample size and standard deviation, any of the above answers could be the 90% confidence interval. Confidence intervals depend on the sample size, standard deviation, and desired confidence level. With the information given, we cannot determine the exact 90% confidence interval.

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Answer:  The total cost for the frame is $78.00

Step-by-step explanation:

Photograph size = 5 inches x 8 inches

Perimeter = 5 + 5 +8 + 8

Perimeter =26 inches

Cost = $3.00 / inch for a silver frame

Total frame cost = 26 inches x $3.00 = $78.00

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\({ \red{ \bold{9d}}} \: + \: { \red{ \bold{3}}} \)

Step-by-step explanation:

\({ \blue{ \tt{(6d + 5)}}} - { \blue{ \tt{(2 - 3d)}}}\)

\({ \blue{ \tt{6d + 5 - 2 + 3d}}}\)

\( = { \blue{ \tt{9d + 3}}}\)