In the rectangle below, SU=7x-2, RV=20, and mVRU=28°.
Find the value of x and mZVUT.
R
U
S
T
X =
mZVUT =

Answer:

Step-by-step explanation:

Given the inequality √x<10, in order to find the solution to the inequality, the following steps must be followed;

√x<10

Squaring both sides;

(√x)²<10²

x < 100

This means that the value of x is less than 100, therefore the correct options will be all the values that are only less than 100.

The values that are less than 100 in the option are 99, -7 and 93

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer:

Step-by-step explanation:

yes,      (given number) / 5

Therefore, nine rabbits will need 7.5 sacks of food for one week.

The unitary method is a mathematical technique that involves finding the value of a single unit to determine the value of a given number of units. It is a method of solving mathematical problems that involve proportional relationships between quantities. The unitary method is commonly used in various areas of mathematics, such as algebra, arithmetic, and geometry. It is also used in everyday life to solve problems related to money, time, distance, and other quantities.

Here,

To solve this problem, we can use proportionality. We know that the number of sacks of food needed is directly proportional to the number of rabbits.

Let x be the number of sacks needed for 9 rabbits. Then, we can set up the following proportion:

6/10 = 9/x

Cross-multiplying, we get:

6x = 90

Dividing both sides by 6, we get:

x = 15/2 or 7.5

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Complete question:

If six rabbits need 10 sacks of food per week, how many sacks will nine rabbits need to eat for one week?

Answer:

(a): 6. (b): 4. (c). Bob's sample, as it has a larger sample size.

Answer:

\(\sqrt{a^{6} *a}\)

Step-by-step explanation:

when multiplying exponents, as long as the base is the same, you add the power. \(a^{6}*a^1=a^(6+1)=a^7\)

Bill needs to walk 14 times to complete a 5-mile walk, Jamie needs 32 Tablespoons of sugar for his recipe, and Erin can cross the bridge in a moving truck.

1.  The perimeter of the square park is the sum of the lengths of all four sides, which is  500 feet. To complete a 5-mile walk, Bill would need to walk feet.

Since the sidewalk goes around the park, Bill would need to walk  14 times around the park. Since he cannot walk a fraction of a time around the park, he would need to walk around the park 14 times.

Therefore,  Bill needs to walk around the park 14 times to complete a 5-mile walk.

2. Jamie needs 2 cups of sugar for his recipe, which is equivalent to    ounces of sugar. Since there are 2 tablespoons in 1 ounce, Jamie would need 16 x 2 = 32 tablespoons of sugar.

Therefore, Jamie needs  32  tablespoons of sugar for his recipe.

3.  Since 1 ton is equal to 2000 pounds, the weight limit of the bridge is   pounds. The total weight of the moving truck and her belongings is pounds.

Since  pounds is less than the weight limit of the bridge, it is safe for Erin to cross the bridge in the moving truck.

Therefore,  Yes, it is safe for Erin to cross the bridge in the moving truck.

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Using proportions, it is found that it will take 55.6 hours to fill the poll.

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, in one hour, 630 gallons of water are delivered. How many hours are going to take to deliver 3.5 x 10⁴ gallons = 35000 gallons?

The rule of three is:

1 hour - 630 gallons

x hours - 35000 gallons

Applying cross multiplication:

\(630x = 35000\)

\(x = \frac{35000}{630}\)

\(x = 55.5\)

It will take 55.6 hours to fill the poll.

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The hours it would take to fill the swimming pool is 55.6 hours.

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

Number of hours = capacity of the swimming pool / capacity of the hose

3.5 x 10^4 / 630

35,000 / 650 = 55.6 hours

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Answer:

the value of the expression 14 1/3 - 6 5/8 is 185/24.

Step-by-step explanation:

To solve this problem, you can convert both mixed numbers to improper fractions, then subtract the fractions and simplify the result. Here are the steps:

1. Convert 14 1/3 to an improper fraction:

14 1/3 = (14 x 3 + 1) / 3 = 43 / 3

2. Convert 6 5/8 to an improper fraction:

6 5/8 = (6 x 8 + 5) / 8 = 53 / 8

3. Subtract the fractions:

43 / 3 - 53 / 8 = (43 x 8 - 53 x 3) / (3 x 8) = (344 - 159) / 24 = 185 / 24

So the value of the expression 14 1/3 - 6 5/8 is 185/24.

Step-by-step explanation:

Answer:

its a pickup line

Step-by-step explanation:

.

The answer is T11

The matrix in the picture is tagged element 11

To address this

You add the element to the assigned variable

Therefore, you have T11

Answer:

18 ft

Step-by-step explanation:

The expense incurred by a cοmpany tο prοduce the gοοds οr services sοld within a specific time periοd is knοwn as the cοst οf sales.

It cοmprises all cοsts that are directly related tο the prοductiοn prοcess, such as thοse fοr labοr, utilities, raw materials, and manufacturing equipment depreciatiοn.

Grοss prοfit, which is the amοunt οf mοney a firm makes frοm its cοre οperatiοns befοre deducting extra cοsts like marketing, administrative, and financing charges, is calculated by subtracting the cοst οf sales frοm revenue. Tο apprοpriately price their prοducts and assess the prοfitability οf their οperatiοns, firms must have a thοrοugh understanding οf their cοst οf sales.

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Complete question:

What is the definition of cοst οf sales?

The constant of proportionality is 7.5 that relates the number of hours and total pay.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

On Friday, Denise babysit for 5 hours for $37.50.

And, On Sunday, Denise babysit for 3 hours for $22.50

Now,

Let the constant of proportionality that relates the number of hours and total pay = k

So, By definition of proportionality we get;

⇒ k = $37.50 / 5

And, k = $22.50 / 3

Where, k is constant of proportionality.

After solving we get;

⇒ k = 7.5

Therefore, The constant of proportionality is 7.5 that relates the number of hours and total pay.

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Answer:

1) x-2y 2) 2(13a-5)

Step-by-step explanation:

1) -1/2(-2x+4y)=2/2x-4/2y=x-2y

2) 26a-10=2(13a-5)

Answer: J = 14.4 cm

Step-by-step explanation:

K is similar to G

So we can find the scale that FHG was dilated by dividing the side length of G by the side length of K

16.56/9.2 = 1.8

So the sides of the triangle KMJ were multiplied by a factor of 1.8

to find m :

25.92/1.8 = 14.4

J = 14.4

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

The possible values of x are 3 and 7

Given the rational expression below;

√60-8x = x - 9

Square both sides to have:

(60-8x)² = (x-9)²

60-8x = x²-18x+81

Equate to zero to have;

x²-18x+81 - 60 + 8x = 0

x² - 10x + 21 = 0

x² -3x-7x +21 = 0

x(x-3)-7(x-3) = 0

x = 3 and 7

Hence the possible values of x are 3 and 7

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The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

12 is the number that comes after 11 and before 13. 12 represents the number between 11 and 13. 12 is a composite number.

Step-by-step explanation:

12 is the number that comes after 11 and before 13.

12 represents the number between 11 and 13. 12 is a composite number.

Answer:

Option D is correct.

Step-by-step explanation:

A plane mirror shows that the image formed by it is of same size as that of object, same distance as that of object and same orientation and laterally inverted.

So, when a point is in IV quadrant and reflection is from Y axis, the image is in  III quadrant.  

Answer:

V =972 pi mm ^3

Step-by-step explanation:

The diameter is 18 so the radius is 1/2 of the diameter

18/2 = 9

r=9

The volume of a cylinder is

V = pi r^2 h

V = pi (9)^2 12

V =972 pi mm ^3

Answer:

972pi mm^3

Step-by-step explanation:

What is the volume of the cylinder below? A cylinder with a height of 12 millimeters and diameter of 18 millimeters. 108 pi mm3 216 pi mm3 648 pi mm3 972 pi mm3

V = (pi)r^2h

r = d/2 = 18 mm/2 = 9 mm

V = (pi)(9 mm)^2(12 mm)

V = 972pi mm^3

1. 1/2

2. 3/10

3. 2 and 3/5

4. 1 and 7/12

5. 1 and 1/3

The value of x for the triangle by the mid point theorem is obtained as 5.

For the given diagram in the question.

As, the sides of the triangle is divided in equal parts.

By the mid -point theorem-

(1/2)24 = x + 7

12 = x + 7

x = 12 - 7

x = 5

Thus, the value of x for the triangle by the mid point theorem is obtained as 5.

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Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer:

Step 2

Step-by-step explanation:

Answer:

step 2

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

When the given net is folded into a cube, the number that we will find opposite 1 is 4.

When the net is folded, two will be folded left and up with 4 being the base. 3 will be folded right with 1 being the top of the cube.

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

The best way to know this is by simply cutting a paper similar to the shape of the net above and numbering them as required.

We will then observe the following pairs opposite each other:

5 and 2.

4 and 1.

3 and 6.

This means that the number that we will see opposite 1 will be the number 4.

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