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the question is in the photo!!

Answer:

x = 8 is a solution for the equation

The capacity of her mixture in liters is 1.6 L

Capacity describes your ability to do something or the amount something can hold.

Given that, Jane mixes the juice in jug A with the water in jug B, we need to find that, what is the capacity of her mixture in liters,

We know that,

1 L = 1000 ml

Jug A = 400 × 1L / 1000 ml = 0.4 L

Jug B = 12 / 10 L = 1.2 L

Total = 0.4 + 1.2 = 1.6 L

Hence, the capacity of her mixture in liters is 1.6 L

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Answer:

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 4 km radius

           h = 8 km

plugin values into the formula

surface area = 2πrh + 2πr²

                     = 2π (4) 8  +  2π (4)²

                     = 201.062  +  100.531

                     = 301.593 km²

Answer:

x = 20

y = 19

Step-by-step explanation:

(2x - 3)° + (3x - 7)° = 90° (complementary angles)

(2x - 3 + 3x - 7)° = 90°

(5x - 10)° = 90°

5x - 10 = 90

5x = 90 + 10

5x = 100

x = 100/5

x = 20

2y - 1 = 2x - 3 ( vertical angles)

2y = 2x - 3 + 1

2y = 2x - 2

2y = 2*20 - 2 (plug x = 20)

2y = 40 - 2

2y = 38

y = 38/2

y = 19

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

34 days 4 hours and 40 minutes

Step-by-step explanation:

First convert 3,962km to miles.

There are 1.609km in 1 mile so:

3,962km/1.609km = 2461.87 miles ≈ 2,462mi

If your walking speed is 3mph then divide the distance by 3.

2462/3 = 820.67hours.

Let's figure out the number of days, hours, minutes.

820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.

.1944 x 24 = 4.6666  So 4 hours and some minutes, let's figure out the minutes.

.66666 x 60 = 40

At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.

Answer:

C

Step-by-step explanation:

Given Coordinates:

(-4, -2), (2, -2), (4, 2), (-2, 2)

The shape that uses the coordinates (-4, -2), (2, -2), (4, 2), (-2, 2) would make a parallelogram.

See graph for answer:

So correct choice is C.

The correct Answer is C because the given coordinats matches with coordinate of parallelogram

You can draw the given points on a graph to check the accuracy!

Answer:

[0.184, 0.266]

Step-by-step explanation:

Given:

Number of survey n =280

Number of veterans = 63

Confidence interval = 90%

Computation:

Probability of veterans = 63/280

Probability of veterans =0.225

a=0.1

Z(0.05) = 1.645 (from distribution table)

Confidence interval = 90%

So,

p ± Z*√[p(1-p)/n]

0.225 ± 1.645√(0.225(1-0.225)/280)

[0.184, 0.266]

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

n mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.

answer from wikipedia

hope this helped (:

Answer:

an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.

Step-by-step explanation:

Answer: It would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

Step-by-step explanation: To calculate the break-even point, we need to determine the point at which the savings from the lower premium on Option 2 offset the higher deductible.

Option 1:

Annual Premium = $775

Deductible = $500

Option 2:

Annual Premium = $650

Deductible = $1000

Let x be the number of years without a claim.

For Option 1, the total cost over x years would be:

Total Cost = $775x + $500

For Option 2, the total cost over x years would be:

Total Cost = $650x + $1000

To find when the two options break even, we need to set these two equations equal to each other and solve for x:

775x + 500 = 650x + 1000

125x = 500

x = 4

Therefore, it would take 4 years without a claim for Option 2 to break even with Option 1. After 4 years, the savings from the lower premium on Option 2 would offset the higher deductible, resulting in lower total cost.

Answer:

5(32)

Whatever will be in the parentheses has to equal 32.

So the possible answer could be:

5(30 + 2)

Step-by-step explanation:

Given the piecewise function in the question tab,

The function that satisfies the indicated value from the domain at x = - 2 is

Substitute x = -2

Hence, the answer is

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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The histogram that represents this data would be the histogram shown in the image below.

In a histogram, bars or bins show the frequency of a range of data points in a data distribution.

Given the data set, 1, 7, 4, 4, 3, 2, 7, 8, 1, 19, 20, 22, 20, 19, 16, 16, 19, 13, 1, 13, the groups and frequency for the data distribution would be:

0 - 5: 7

6 - 11: 3

12 - 17: 4

18 - 23: 6

Therefore, the histogram that represents this data would be the histogram shown in the image below.

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Answer:

if you are confused about the explanation of the person on top... it means the answer is C.

Step-by-step explanation:

creds to the person on top

The option C is correct.

In the given statement is:

Solve the inequality for x and identify the graph of its solution.

|x+2|<2

Here, The question is :

|x+2|<2

The modulus sign means that the absolute value of x + 2 is less than 2. This means that

-2 < x + 2 < 2

This is what is called double inequality. We must treat it as two separate inequalities.

From the left we get -2 < x + 2 and by subtract 2  to both sides we obtain

-4 < x.

On the right we have x + 2 < 2 , and by subtract 2 to both sides we get,

x < 0

We can write these solutions together as :

-4 < x < 0

and this range of values of x is illustrated on the number line see the image :

Hence, The option C is correct.

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Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

The exact value of the specified trigonometric identity found using the the trigonometric identity for tan(A - B) and tan(arccos(x)) and tanarcsin(x)) is presented as follows;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

A trigonometric identity is an equality that involves trigonometric functions that is valid for all values of the arguments of the equation

The required trigonometric identities are;

\(tan (A - B) = \dfrac{tan(A) -tan(B)}{1-tan(A)\cdot tan(B)}\)

\(tan(sin^{-1}(x)) = \dfrac{x}{\sqrt{1-x^2} }\)

\(tan(cos^{-1}(x)) = \dfrac{\sqrt{1-x^2}}{x }\)

Therefore;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) = \dfrac{tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)-tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}{1-tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)\times tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}\)

Which gives;

\(\dfrac{\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } -\dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} } }{1+\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } \times \dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} }}=\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }\)

\(\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }=\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

Which indicates that we have;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

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Answer:

assuming he feeds the dogs 5kg per day, the answer is 80kg left

Step-by-step explanation:

5kg per day multiplied by 4 days equals 20kg. 100kg minus 20kg equals 80kg.

Step-by-step explanation:

So 95 is a linear pair. a linear pair adds up to 180 so 180 - 95 = 85

X = 85

y = 50

Answer:

2.6667yd^3

Step-by-step explanation

Volume of the concrete = Length * width * height

Given

height = 6 inches

To yards;

1 in = 0.0277778yd

6 in = 6 * 0.0277778

6in = 0.1666668 yards

Width = 8 feet

Length = 6ft

LW = 48ft²

To yards;

1 ft = 0.333333yd

48 ft = 48(0.333333)

48 ft^ 2 = 15.999984yd^2

Volume = 15.999984 * 0.1666668

Volume = 2.6667 yd^3

Hence she will need 2.6667yd^3 concrete

The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

For the gardener to be correct,

8×Perimeter of the roller = Length of the bowling green

Therefore,

Let use first find the perimeter of the roller

Where:

Substitute these values into equation 1

For 8 full rotation,

Comparing the distance for 8 revolution of the roller with the length of the bowling green,

Therefore, the gardner is correct

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Answer:122°

Since USM is 180° you take 180 and 58° and then subtract them and you get 122°.

The equation of the shifted line is y = x + 2

From the question, we have the following parameters that can be used in our computation:

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

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Answer:

2sqr3, the first option

Step-by-step explanation: