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Fill in the blank.
The process of arriving at an approximate answer to a computation such as 0.79×403 is called
TEI
The process of arriving at an approximate answer to a computation such as 0.79 × 403 is called
A

The angle complementary to an acute angle A is always acute and smaller than 90 degrees, while the angle supplementary to angle A is always larger than 90 degrees, they cannot be equal since they are adding up to 90 degrees and 180 degrees respectively.

A complementary angle is a pair of angles that add up to 90 degrees. Two angles are said to be complementary if the sum of their measures is 90 degrees. The two angles are called complementary angles because they "complete" a right angle.

An angle is considered acute if it measures less than 90 degrees. A complementary angle is an angle that, when added to another angle, will sum up to 90 degrees. So, if angle A is acute, then its complement angle will also be acute.

On the other hand, an angle supplementary to angle A is an angle that, when added to angle A, will sum up to 180 degrees.

So, an angle complementary to an acute angle A is always acute and smaller than 90 degrees, while an angle supplementary to angle A will always be larger than 90 degrees. They can't be equal since they are adding up to 90 degrees and 180 degrees respectively.

For example, if angle A measures 60 degrees, its complementary angle will measure 30 degrees (90 - 60 = 30) and its supplementary angle will measure 120 degrees (180 - 60 = 120).

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Answer:

[tex]x\ge -7[/tex]

Step-by-step explanation:

The square root function has a domain consisting of numbers greater than or equal to zero. This excludes negative numbers since the square root of a number, when multiplied by the same square root of a number results in the original number: [tex]y=\sqrt{x}\implies y*y=x[/tex]. If we wanted the square root of a negative number, we would need a number which multiplies by it self to get a negative number, but as you may recall, if we square a real number, we always get a positive. So negative numbers are not included in the domain (although there are imaginary solutions)

So we just need the inside of the square root to be greater than or equal to zero. Thus we can derive: [tex]x+7\ge 0[/tex] and then just subtract 7 from both sides to simplify: [tex]x\ge -7[/tex] and now we have our domain in interval notation.

[tex]3\dfrac{1}{4}[/tex] as an improper fraction.

To convert a mixed number into a fraction, you'll first have to multiply the whole number(3) by the denominator(4) and add that to the numerator(1).

The denominator will stay the same.

[tex]3\dfrac{1}{4}[/tex]

[tex]\dfrac{3\times4+1}{4}[/tex]

[tex]=\fbox{$\dfrac{13}{4} $}[/tex]

Answer:

y = -8

Step-by-step explanation:

the answer you chose is correct!!

The speed of the boat in still water is 12mikes per hour and the speed of the current is 6milesper hour

Speed is defined as, the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

speed = distance /time

speed with downstream = 90/5 = 18miles per hour

speed against down stream = 90/15 = 6 miles per hour

represent the speed of the boat in still water by x and the speed of the downstream by y

therefore x+y = 18 equation 1

x-y = 6 equation 2

subtract equation 2 from 1

2y = 12

y = 12/2 = 6miles/hour

substitute 6 for x in equation 1

x + 6 = 18

x = 18-6 = 12 miles/hour

therefore the speed of the boat with in still water is 12miles per hour and the speed of the current is 6 miles per hour

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Answer:

9(5 - y)

Step-by-step explanation:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Required answer:

9(5 - y)

Detailed explanation:

If we have the difference of two numbers, then we're subtracting these numbers. In this case, the numbers are 5 and y:

[tex]\sf{5-y}[/tex]

Next, we multiply 9 times the difference, so we put 5 - y in parentheses:

[tex]\sf{9(5-y)}[/tex]

[tex]\hrulefill[/tex]

Have a wonderful day!

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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The equation of the parabola, in vertex-form, is given as follows:

y = -(x - 6)² + 6.

The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:

y = a(x - h)² + k

In which the parameters of the equation are given as follows:

The axis of symmetry is at x = 6, hence:

h = 6.

The maximum height if of 6, hence:

k = 6.

Thus:

y = a(x - 6)² + 6.

The parabola passes through the point (7,5), meaning that when x = 7, y = 5, and thus the leading coefficient a is obtained as follows:

5 = a(7 - 6)² + 6.

a = -1.

Hence the parabola is defined as follows:

y = -(x - 6)² + 6.

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Answer:

y = 2/3 x + 7

Step-by-step explanation:

At birth represents the beginning of time for the baby. Lets call this month zero. So here are your coordinates.

x = 0 y = 7 ----> at birth

x = 3 y = 9

x = 6 y = 11

x = 9 y = 13

Now we find the slope between each point. Since the common difference of y is 2 and the common difference in x is 3 , the slope will be

slope = y / x = 2 / 3

Therefore, the equation of the line that represents this relationship is

y = (2/3) x + 7

In order to differentiate between objects, one must first recognise their distinctions.

In order to differentiate between objects, one must first recognise their distinctions. The difference between the chocolate sauce and the spicy bean dip, for instance, could be difficult to see if the party lighting is low. It is possible to distinguish between various.

To distinguish between objects being compared, to demonstrate, or to discover: On the basis of colour, religion, or country of origin, we do not make distinctions amongst our personnel. The majority of customers can easily distinguish between the cereal from our brand and that of our main rival.

-(x²yz³)³.(xyz)²​+z = (xy²z)². x²yz³ + (x²yz³)³.(xyz)²​.

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The derivative of the expression, x²yz³ + (x²yz³)³ with respect to z = (xy²z)² is:

d/dz (x²yz³ + (x²yz³)³) = d/dz (x²yz³) + d/dz ((x²yz³)³)

= 3x²y²z³ + 2x³yz⁴ + 3 * (x²yz³)² * (3x²y²z³ + 2x³yz⁴)

The derivative of the first term, x²yz³, with respect to z = (xy²z)² can be found using the chain rule:

d/dz (x²yz³) = d/dy (x²yz³) * dy/dz + d/dx (x²yz³) * dx/dz

= 3x²yz² * yz + 2x¹yz³ * xy²z

= 3x²y²z³ + 2x³yz⁴

The derivative of the second term, (x²yz³)³, with respect to z = (xy²z)² can be found using the chain rule and the power rule:

d/dz ((x²yz³)³) = d/dy (x²yz³)³ * dy/dz + d/dx (x²yz³)³ * dx/dz

= 3 * (x²yz³)² * (3x²yz² * yz + 2x¹yz³ * xy²z)

= 3 * (x²yz³)² * (3x²y²z³ + 2x³yz⁴)

Finally, the derivative of the expression, x²yz³ + (x²yz³)³ with respect to z = (xy²z)² is:

d/dz (x²yz³ + (x²yz³)³) = d/dz (x²yz³) + d/dz ((x²yz³)³)

= 3x²y²z³ + 2x³yz⁴ + 3 * (x²yz³)² * (3x²y²z³ + 2x³yz⁴)

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Answer:

7:01

29%

Doyan of low

Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)

Answer:

y = 11

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Answer:

Infinitely many solutions

Step-by-step explanation:

The required simple interest would be the amount of $7500 if invest $30,000 for 10 years in an account that pays 2.5%.

We have been given data:

Principal (P) = $30,000

Rate of Interest (R) = 2.5% = 2.5/100 = 0.025

Time (T) = 10 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest  = 30,000 × 2.5% × 10

⇒ Simple interest  = 30,000 × 2.5/100 × 10

⇒ Simple interest  = 30,000 × 0.025 × 10

Apply the multiplication operation, and we get

⇒ Simple interest  = $7,500

Therefore, the required simple interest would be the amount of $7500.

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Answer:

Simply interest = $750.00.

Step-by-step explanation:

From the question

Principal = $30,000

Time = 10 years

Rate = 2.5%.

Sample interest = ?

Simple interest is give by the formula

= Principal × Rate ×Time

100

= 30,000 × 2.5 × 10

100

=3000 × 2.5 × 1

Note: hundred use it two zero to cancel one zero of 30,000 and one zero of 10 living 3000 and 1

Simple interest = $750.00

Answer:

Step-by-step explanation:

The 5% can be converted to a least-squares fraction by dividing the numerator by the denominator and simplifying. The 5% can be expressed as:

5/100

The fraction can be simplified by dividing the numerator and denominator by their common factor, which in this case is 5.

5/100 simplified is 1/20

In summary, 5% is equivalent to the fraction 1/20 in least terms.

Answer:

yellow and blue makes green

Account A earned the most interest in the first year, since it earned 12.00 in 18 months compared to the 27.00 earned by Account B in 27 months.

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Answer:

$768 would be the discounted amount in dollars

Step-by-step explanation:

1920 - 1152= 768

Answer:

49 weeks

Step-by-step explanation:

y = mx + b

y is the total amount saved

x is the number of weeks

24.99 = .4x + 5.40  Solve for the number of months   Subtract 5.40 from both sides

24.99 - 5.40 = .4x + 5.40 -5.40

19.59 = .4x     Divide both sides by .4

[tex]\frac{15.99}{.4}[/tex] = [tex]\frac{.4x}{.4}[/tex]

48.975 = x

We cannot have 48.975 week, so at 49 weeks Davis will have enough money.

Answer:

49

Step-by-step explanation:

The value of unknown side length x in simplest radical form is 4√37.

Option B is the correct answer.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Two right triangles.

Applying the Pythagorean theorem in the bigger triangle.

We get,

25² = 7² + Length²

25² = 49 + Length²

Length² = 625 - 49

Length² = 576

Length = √576

Length = 24

Now,

Applying the Pythagorean theorem in the smaller triangle.

We get,

x² = 4² + 24²

x² = 16 + 576

x² = 592

x² = 16 x 37

x = √(16 x 37)

x = √(4² x 37)

x = 4√37

Thus,

The value of x is 4√37.

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The measures of x and y in the congruent polygons are:

x = 7

y = 8

Congruent polygons are two or more polygons with the same number of sides and the same length for each side. In other words, they are polygons that have the same shape and size.

Two polygons are congruent if and only if it is possible to superimpose one polygon over the other by using a combination of translation, rotation and reflection. Congruent polygons have the same area and perimeter.

Therefore:

m<E = m<A

Substitute the values:

4y - 4 = 28

4y = 28 + 4

4y = 32

4y/4 = 32/4

y = 8

m<F = m<B

Substitute:

10x + 65 = 135

10x = 135 - 65

10x = 70

10x/10 = 70/10

x = 7

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Answer:

Step-by-step explanation:

1. Important information: The original balance of the savings account is 400 dollars, x is the number of dollars added, and y is the total balance of the savings account.

2. I need to find: The total balance of the savings account (y).

3. What is the equation: y = 400 + x

4. Is the equation additive or multiplicative: Additive

5. I know my answer is correct because: I can use the equation y = 400 + x to calculate the total balance and then double-check my answer using mental math or by subtracting 400 from the total balance to find the amount added (x).

Answer: To determine this percentage, we would need to know the current market share for Category A and the desired market share goal of 50%. With this information, we could calculate the difference between the current market share and the desired market share and express that difference as a percentage of the current market share. Without this information, I am unable to provide an exact percentage.

Step-by-step explanation:

The inequality that is represented on the given graph is;

y ≥ -2x + c

The general formula for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, in this question, the coordinate of the y-intercept is (c, 0) and as such, the y-intercept is c.

Ths slope is gotten from two coordinates (2, -3) and (4, -7)

Slope = (-7 - (-3))/(4 - 2)

Slope = -4/2

Slope = -2

Now, the Inequalities that use < or > symbols are plotted with a dashed line to indicate that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to indicate that the line is included in the region.

Also, when we shade above the line, it is greater than and in this case it will be greater than or equal to since the line is a solid line to give the equation; y ≥ -2x + c

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Answer:

x = 84

Step-by-step explanation:

x-(27+39)=18

x-(66)=18

x=66+18

x=84

The distance between the centres of the two villages on the map is 16cm. The solution is obtained using the concept of unit conversion.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles. Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.

Now, we are given the scale of a map as 1 : 50000 and that two villages are 8km apart on the map.

The scale of a map is given as 1 : 50000.

=> 1  cm on map  = 50,000 cm  on actual

We know that 1 km = 1,00,000cm

So,

=> 8km  = 8,00,000 cm

So, The distance on the map is

800000 / 50000

= 80/5

= 16 cm

Hence, the actual distance between them is 16cm.

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Answer:

6

Step-by-step explanation:

Given logarithmic expression:

[tex]\log_{4}\left(4\right)+\log_{4}\left(16\right)+\log_{4}\left(64\right)[/tex]

Rewrite 16 as 4² and 64 as 4³:

[tex]\implies \log_{4}\left(4\right)+\log_{4}\left(4\right)^2+\log_{4}\left(4\right)^3[/tex]

[tex]\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies \log_{4}\left(4\right)+2\log_{4}\left(4\right)+3\log_{4}\left(4\right)[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies 1+2(1)+3(1)[/tex]

Simplify:

[tex]\implies 1+2+3[/tex]

[tex]\implies 3 + 3[/tex]

[tex]\implies 6[/tex]

According to the information, the player which is going to be knocked out is player A because he has less momentum.

To calculate witch player is going to get knocked out we have to use the following formula:

Momentum formula:

So, the player which has less momentum will get knocked out. Accoding to this information, we have to replace values and calculate:

Player A

Player B

P = 78 * 9.2

P = 717.6

According to the above, the player which will be knocked out is player A, because player B has more momentum.

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Answer:

lq= 8

Step-by-step explanation:

because MN is 8 units, lq must also be 8 units.