I will give brainlest if it’s right Which expression is equivalent to (24 + 9)?
A. 8(3 + 9)
B. 8(3 + 1)
C. 3(4 + 3)
D. 3(8 + 3)

Answer:

60.125 or 60 1/8

Step-by-step explanation:

6 1/2*9 1/4

Answer:

15 3/4

Step-by-step explanation:

6+9= 15

1/2 = 2/4

2/4+1/4= 3/4

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

Answer:

the total distance from the home to the office is 52 m

Answer:

C

Step-by-step explanation:

It rises and and runs (to the right) 3,

The full expression would be y = 8/3x +4

Hope that helps

An inequality that represents the possible dimensions for the garden is ab < 80. And the three different sets of allowable dimensions for the garden are {5, 10}, {10, 5} and {6, 6} and the area  50 square feet,  50 square feet, 36 square feet respectively.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

The maximum area that is available for a rectangular garden is 80 square feet.

Let a and b are the length and width of the rectangular garden.

And A be the area.

(a).

So, A < 80

That means, ab < 80.

(b).

To find the dimension of the rectangle:

We find the numbers whose product is less than 80.

Let the three number sets are,

{5, 10}, {10, 5} and {6, 6}.

(c).

So, the area of the rectangles are:

5 x 10 = 50 square feet,

10 x 5 = 50 square feet,

And 6 x 6 = 36 square feet.

Therefore, the inequality is ab < 80, three number sets are {5, 10}, {10, 5} and {6, 6} and the area  50 square feet,  50 square feet, 36 square feet respectively.

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Answer:

what is the complete question?

The solution yn+1 is always less than or equal to yn, which means that the solution is stable for a < 0. Therefore the solution is of trapezoidal method.

The model problem (4.3) with a real constant a < 0 is given by:
\(y' = ay, y(0) = 1\)
The trapezoidal method is given by:
\(yn+1 = yn + (h/2)(f(tn, yn) + f(tn+1, yn+1))\)
where h is the step size, tn and yn are the current time and solution values, and  \(f(t, y) = ay\)  is the right-hand side of the model problem.

To show that the solution of the trapezoidal method is stable for a < 0, we can substitute the right-hand side into the trapezoidal method and solve for yn+1:
\(yn+1 = yn + (h/2)(ayn + ayn+1)yn+1 - (h/2)ayn+1 = yn + (h/2)aynyn+1(1 - (h/2)a) = yn(1 + (h/2)a)yn+1 = yn(1 + (h/2)a)/(1 - (h/2)a)\)

Since a < 0, the denominator \((1 - (h/2)a)\) is always positive, and the numerator \((1 + (h/2)a)\) is always less than or equal to 1. Therefore, the solution yn+1 is always less than or equal to yn, which means that the solution is stable for a < 0.

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To use the tangent ratio in a triangle, you need to know the lengths of two sides or the measures of two angles in the triangle. The tangent ratio relates the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle.

The tangent ratio is a trigonometric ratio that relates the length of one side of a right triangle to the length of another side. It is defined as the ratio of the length of the side opposite a given angle to the length of the side adjacent to that angle.

In order to use the tangent ratio, you must have knowledge of the triangle's sides or angles. If you know the lengths of two sides of a right triangle, you can use the tangent ratio to find the measure of one of the acute angles in the triangle. Conversely, if you know the measure of one of the acute angles, you can use the tangent ratio to find the ratio of the lengths of the sides in the triangle.

Essentially, to apply the tangent ratio, you need to have sufficient information about the triangle to identify the sides or angles involved in the ratio calculation. This information can be provided in terms of lengths of sides or measures of angles, allowing you to use the tangent ratio to solve for missing values or determine specific relationships within the triangle.

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Answer:

10

Step-by-step explanation:

Assuming that each square is one unit, you plug it into the distance formula.

The products of the given monomials are

i. 90a⁵b⁵c⁹

ii. x⁴y⁴

iii. 50x¹¹y³z

iv. 80b⁴c⁴

v. 30m⁵n⁷

From the question, we are to determine the products of each of the three monomials

i. 9ab²c⁵, 2a³b²c² and 5abc²

9ab²c⁵ × 2a³b²c² × 5abc²

= 9 × 2 × 5 × a × a³ × a × b² × b² × b × c⁵ × c² × c²

= 90 × a⁵ × b⁵ × c⁹

= 90a⁵b⁵c⁹

ii. xy², x²y and xy

xy² × x²y × xy

= x × x² × x × y² × y × y

= x⁴ × y⁴

= x⁴y⁴

iii. 5x⁵, y²x⁵ and 10xyz

5x⁵ × y²x⁵ × 10xyz

= 5 × 10 × x⁵ × x⁵ × x × y²  × y × z

= 50 × x¹¹ × y³ × z

= 50x¹¹y³z

iv. (-4b²c), (-2bc) and 10c²b

(-4b²c) × (-2bc) × 10c²b

= -4b²c × -2bc × 10c²b

= -4 × b² × c × -2 × b × c × 10 × c² × b

= -4 × -2 × 10 × b² × b × b × c  × c × c²

= 80 × b⁴ × c⁴

= 80b⁴c⁴

v. Multiply (-5m²n²) by (-6m³n⁵)

(-5m²n²) × (-6m³n⁵)

= -5m²n² × -6m³n⁵

= -5 × m² × n² × -6 × m³ × n⁵

= -5 × -6 × m² × m³ × n² × n⁵

= 30 × m⁵ × n⁷

= 30m⁵n⁷

Hence, the products of the given monomials are

i. 90a⁵b⁵c⁹

ii. x⁴y⁴

iii. 50x¹¹y³z

iv. 80b⁴c⁴

v. 30m⁵n⁷

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Answer:

2(4 - 1)

Step-by-step explanation:

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Out of the integers listed, 19, 101, 107, and 113 are prime, while 27 and 93 are not.

To determine if an integer is prime, it must have only two distinct positive divisors: 1 and itself. Here are the results for the integers you provided:
a) 19 is prime (divisors: 1, 19)
b) 27 is not prime (divisors: 1, 3, 9, 27)
c) 93 is not prime (divisors: 1, 3, 31, 93)
d) 101 is prime (divisors: 1, 101)
e) 107 is prime (divisors: 1, 107)
f) 113 is prime (divisors: 1, 113)

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The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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Answer:

The expression x = \(\frac{13}{8}+\frac{5}{4}\) could be used to determine the amount of water drank altogether.

Step-by-step explanation:

Given that:

Amount of water drank during practice = \(1\frac{5}{8} = \frac{13}{8}\)  liters

Amount of water drank on the ride home = \(1\frac{1}{4} = \frac{5}{4}\) liters

Let,

x be the total amount of water drank by Ramona.

x = Water drank during practice + Water drank on the ride home

x = \(\frac{13}{8}+\frac{5}{4}\)

Hence,

The expression x = \(\frac{13}{8}+\frac{5}{4}\) could be used to determine the amount of water drank altogether.

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

Answer:

|-10 - (-8)|

Step-by-step explanation:

I hope this helps!

Dilation and rotation will not produce a congruent triangle

What is rotation ?

The rotation of a point with regard to the origin is described by the rotation formula. To get the position of the point after rotation, apply the rotation formula. Rotation is a circular movement about the specific axis or point of rotation. In general, there are two common directions for rotation: clockwise and anti-clockwise or counter-clockwise.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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Answer:

Step-by-step explanation:

An object with a uniform circular cross section is generally modeled by a cylinder.

__

The formula for the volume of a cylinder is ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(1.5 ft)²(13 ft) ≈ 91.9 ft³

The volume of the tree trunk is about 91.9 ft³.

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

— — — — — — — — — —

— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)

where,

– This formula is used when the radius of the base is given.

Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.

– Using the formula above, substitute the givens in the formula then solve.

Hence, the volume is 91.85 ft³.

_______________∞_______________

Answer:

1) 7 4/5, 7 6/11, 7.34, -7.6

2) 10.19, -10 2/11, -10 1/5, -10.202020

Step-by-step explanation:

1) 7 4/5, 7 6/11, 7.34, -7.6

2) 10.19, -10 2/11, -10 1/5, -10.202020

Answer:

(c) have a great day

Step-by-step explanation:

The MAD for Doctor A's data set is 0.67 and the MAD for Doctor B's data set is 0.83. Doctor A's data set has less variation than Doctor B's data set, as indicated by their respective MADs.

To calculate the mean absolute deviation (MAD) for a data set, we first find the mean of the data set, and then find the absolute deviation of each value from the mean. We then find the mean of these absolute deviations.

a) For Doctor A's data set on corrective lenses, the mean is:

Mean = (15+18+17+16+14)/5 = 16

The absolute deviations from the mean are:

|15-16| = 1

|18-16| = 2

|17-16| = 1

|16-16| = 0

|14-16| = 2

The mean of these absolute deviations is:

MAD = (1+2+1+0+2)/5 = 1.2

Therefore, the MAD for Doctor A's data set is 1.2.

b) For Doctor B's data set on corrective lenses, the mean is:

Mean = (17+19+20+16+18)/5 = 18

The absolute deviations from the mean are:

|17-18| = 1

|19-18| = 1

|20-18| = 2

|16-18| = 2

|18-18| = 0

The mean of these absolute deviations is:

MAD = (1+1+2+2+0)/5 = 1.2

Therefore, the MAD for Doctor B's data set is also 1.2.

Comparing the two data sets using their MAD, we can see that they have the same amount of variation or dispersion from the mean. Both sets have a MAD of 1.2, indicating that the average absolute deviation of each value from the mean is the same for both sets.

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Answer:

Doctor A MAD: 11.8

Doctor B MAD: 9.32

Step-by-step explanation:

This is what I got on the assignment.

Because the number increase by a percentage this is an exponential growth problem.

The equation for exponential growth is :

Total = start value x ( 1 + percent) ^ time

Using the information from the problem:

2011-2005 = 6 years.

Total = 23 x (1 + 0.72)^6

Total = 23x 1.72^6

Total = 595.52 = 596 total people

Answer:

10.50x + 15 = y

Step-by-step explanation:

x = amount of hours spent babysitting.

y = total amount of money.

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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"Double-entry" can be used to find the error of inputting an 8 instead of a 5 in research.

Each financial transaction involves equal and opposite consequences in at least two independent accounts, according to the fundamental principle of double entry, which underpins modern bookkeeping and accounting.

As the question states-

Thus, "Double-entry and frequency analysis" can be used to find the error of inputting an 8 instead of a 5.

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The time it takes for the object to reach the ground is given as follows:

8.5 seconds.

The height of the object after t seconds is given by the equation presented as follows:

h(t) = -16t² + 1156.

The rocket hits the ground when h(t) = 0, hence the time is obtained as follows:

-16t² + 1156 = 0

16t² = 1156

t² = 1156/16

t = sqrt(1156/16)

t = 8.5 seconds.

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The length of side GF from the similar triangles shown is GF = √10 units

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be similar if they have the same shape, all the angles are equal and the ratio of corresponding sides are in the same proportion.

In a similar triangle, DE = GF, Hence:

GF/DF = GH/DE

GF / 5 = 2 / GF

GF² = 10

GF = √10

The length of side GF from the similar triangles shown is GF = √10 units

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Answer:

y- intercept = - 39

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 12x + 2 ← is in slope- intercept form

with slope m = 12

Parallel lines have equal slopes, thus

y = mx + c ← is the partial equation

To find c substitute (4, 9) into the partial equation

9 = 48 + c ⇒ c = 9 - 48 = - 39 ← y- intercept

Answer:

y-intercept = -39

Step-by-step explanation:

if two lines are parallel it means they have the same gradient so we compare the equation given to the default equation of a line

y=mx+c

y=12x+2

comparing we have the gradient m=12 now finding the equation of the line parallel to the given line we use

y-y1=m(x-x1)

y1=9 and x1=4

y-9=12(x-4)

y-9=12x-48

y=2x-48+9

y=2x-39

comparing to the default equation of a line y=mx+c where c is the y-intercept

therefore the y-intercept is -39