.47/100+3/250=/1000+12/1000

Answer:

only B

Step-by-step explanation:

since A) its 180+6 which absolutely greater than 9

C)31-1=30 which is greater than 8

D) 4 is greater than 3

Answer:

Step-by-step explanation:

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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Answer:

A=2 B=3 C=5 D=6

Step-by-step explanation:

get the result and subtract it by half

Answer:

a=2

b=3

c=5

d=6

Step-by-step explanation:

steps:

1:a.a=4

2×2=4

2:b×b=9

3×3=9

3:c.c=25

5×5=25

4:d.d=36

6×6=36

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

It lost 22 feathers.

Step-by-step explanation:

To complete this problem, this expression will be used: 2x/100.

2(1100)/100 {Multiply 2 by 1100}

2200/100 {Simplify by cancelling out 100}

22/1 {Divide}

22 feathers were lost.

Given:

Angle of depression from observation deck to a ship = 67°

Height of observation deck = 1014 feet.

To find:

The horizontal distance from the base of the skyscraper out to the ship.

Solution:

Let x be the horizontal distance from the base of the skyscraper out to the ship.

Using the given information draw a diagram as shown below.

In a right angle triangle,

\(\tan\theta=\dfrac{Perpendicular}{Base}\)

For triangle ABC,

\(\tan A=\dfrac{BC}{AB}\)

\(\tan (67^\circ)=\dfrac{1014}{x}\)

\(x=\dfrac{1014}{\tan (67^\circ)}\)

On further simplification, we get

\(x=\dfrac{1014}{2.35585}\)

\(x=430.41789\)

\(x\approx 430.4\)

Therefore, the horizontal distance from the base of the skyscraper out to the ship is 430.4 feet.

Applying the Trigonometry ratio, TOA, the horizontal distance from the base of the  skyscraper out to the ship is: 430.4 ft.

Recall:

The situation described is shown in an image attached below, where:

To find BA, apply TOA, which is:

tan ∅ = Opp/Adjacent

tan 67 = 1014/BA

\(BA = \frac{1014}{tan(67)} \\\\\mathbf{BA = 430.4 $ ft}\)

Therefore, applying the Trigonometry ratio, TOA, the horizontal distance from the base of the  skyscraper out to the ship is: 430.4 ft.

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The given polynomial does not contain any non-real zeros since a polynomial of degree 5 can only have a maximum of 5 zeros.

A mathematical expression made composed of terms with numbers, variables, and powers of those variables is known as a polynomial. The exponents of a polynomial can tell us a lot about the polynomial itself. This is especially true for the highest exponent of a variable in a polynomial.

When this happens, the quantity of x that makes a polynomial equal zero is referred to as the polynomial's "zero" or "root". A zero may be a real or complex number. A polynomial has an even number of complex zeros if it has any at all since they are pairs. The zeros of a polynomial are the locations where the sum is zero. Simply put, a polynomial's zeros are the various values at which the polynomial equals 0.

At 5 various points, the given curve intersects the x-axis. So it has five genuine zeros.

The given polynomial does not contain any non-real zeros since a polynomial of degree 5 can only have a maximum of 5 zeros.

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Answer:

Its A

Step-by-step explanation:

I got it right on Edge Test

The function that depicts town that is growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

The standard exponential function is expressed as:

y = ab^x

The value of b will determine whether the towns are growing in size or not, For instance;

If b > 1 then the town is growing, else it is declining

From the given exponential functions, the function that depicts town that are growing in size are  P = 1000 (1.08)^t and 1200 (1.185)^t

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Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

If eleven subtracted from eleven times a number is -66, the unknown number is -5

Given the data in the question;

First we translate the statement into an algebraic expression and solve for the unknown number.

Let x represent the unknown number.

Translation

Now, we combine.

11x - 11 = - 66

Solve for x

Add 11 to both sides

11x - 11 + 11 = - 66 + 11

11x = -55

x = -55/11

x = -5

Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5

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Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Yes , watching TV helps you live longer  by using correlation coefficient.

How to interpret a correlation coefficient?

The statistical measure of how well changes in the value of one variable predict changes in the value of another is called a correlation coefficient. The value rises or falls together when the variables are positively linked.

The r represents the correlation coefficient which has a value 0.89 for the given case.

we can say that there is a positive association between the life expectancy of citizen and the average number of TVs in households.

the r value is close to +1 which means that the association is close to linear relation .

 so we put it like

               R² = 0.89² = 0.7921

now  0.7921 signifies that almost 79% variation in life.

So we can say that  watching TV helps you live longer.

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The insects population expected after 4 months is 414.

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

The standard form of an exponential function is:

y = abˣ

where a is the initial value and b is the multiplication factor.

An entomologist expects an insect population to increase by about 20% each month from may 1 to September 1.

Let us assume that the population of insect on May first was 200. If y represent the population of insects x months after May 1, hence:

y = 200(1.2)ˣ

At September 1; after 4 months:

y = 200(1.2)⁴ = 414

The insects population after 4 months is 414.

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a. At the certain time, the two cars are located at points A and B on a coordinate plane, with Central Square at the origin. The distance between the two cars is represented by the length of line segment D connecting points A and B.

b. The general formula for D in terms of A and B is:

             \(D = \sqrt{((A - 0)^2 + (B - 0)^2)}\)

c. The derivative of D with respect to time is:

             \(\frac{dD}{dt} = (1/D)\frac{dA}{dt}(A - 0)+(1/D)\frac{dB}{dt}(B - 0)\)

d. At the certain time, the distance between the two cars is increasing because dD/dt is positive. The distance between the two cars is changing at a rate of,

             \(\frac{dD}{dt} = (1/D)\frac{dA}{dt}(A - 0)+(1/D)\frac{dB}{dt}(B - 0)\\\\\frac{dD}{dt}= (1/D)(35)(20)+(1/D)(50)(40)\\\\\frac{dD}{dt}=35+50\\\\\frac{dD}{dt}=85 mph.\)

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Answer:

x > -5, so the correct answer is C.

Answer:

21> 2x+ 15

Step-by-step explanation:

The expression is 21 > 15+ 2x

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Twenty-one is greater than the sum of fifteen and two times a number​

let the number be x.

two times a number​ = 2x

and, sum of fifteen and two times a number​ = 15 + 2x

So, Twenty-one is greater than the sum of fifteen and two times a number​

21 > 15+ 2x

Hence, the expression is 21 > 15+ 2x.

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Answer:

21 + x = 70

Step-by-step explanation:

Since we do not know delia's height, you would mark it as x! sum means add, so 21 + x = 70!

This question was a little simple, so I'm sorry for the lack of an explanation, but I'm here if you need more help!!

Answer:

$120

Step-by-step explanation:

\(x - x * 0,6 = 48\\0,4x = 48 \\x = 120\)

Given:

a = 7 km

b = 6 km

c = 5 km

To find the Area of the triangle, we use Heron's formula, as follows:

where s:

hence:

ANSWER

D. 14.7 km²

There is a translation 6 units to the left and 5 units​ down, followed by a reflection across the​ x-axis is the description of the rigid motions which maps ΔEFG to Δ​MNO and he reflected the triangle across the wrong axis is the Alis error.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

The coordinates of ΔEFG are ​E(6​,5​), ​F(9​,5​), and ​G(6​,10​).

The coordinates of ΔMNO are ​M(0​,0​), ​N(−3​,0​), and ​O(0​,5​)

A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis

Reflections of graphs involve reflecting a graph over a specific line. Reflecting functions are functions whose graphs are reflections of each other.

There is a translation 6 units to the left and 5 units​ down, followed by a reflection across the​ x-axis is the description of the rigid motions which maps ΔEFG to Δ​MNO and he reflected the triangle across the wrong axis is the Alis error.

Hence, there is a translation 6 units to the left and 5 units​ down, followed by a reflection across the​ x-axis is the description of the rigid motions which maps ΔEFG to Δ​MNO and he reflected the triangle across the wrong axis is the Alis error.

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Answer:

2

Step-by-step explanation:

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

2

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

Answer:

Step-by-step explanation:

so first you need to find the slope

you can draw the line on a graph and use a protractor

final answer=46 degrees

Answer:-5/-19

the answer is -5/-19 and can not be simplify

Answer:

Hey there!

Total students: 7+9+5+3+12=36

Students that like math: 7

7/36=19.4% of students like math.

Let me know if this helps :)

Answer:

19% (Math)

Step-by-step explanation:

7 divide by total number of students (36) X100% =19%

Answer:

mark on day three can use up to 4 cans of blue paint and 5 cans of yellow paint

Step-by-step explanation:

given--started with 14 cans of blue paint

given--started with 20 cans of yellow paint

given--used 10 cans of blue paint and 15 cans of yellow paint in total

by subtracting the blue paint he used with the amount he started with you get an answer of 4 blue paint cans--- vice verse--20 yellow paint cans minus 15 yellow paint cans equal 5 yellow paint cans.

Answer:

C

Step-by-step explanation:

This means that there is another leg of an isosceles triangle that is also 5 inches.

a^2 + b^2 = c^2

a = 5

b = 5

c = ?

c^2 = 5^2 + 5^2                 Combine

c^2 = 25 + 25

c^2 = 50                            Take the square root of both sides.

sqrt(c^2) = sqrt(50^2)

c = sqrt(5 * 5 * 2)                Take out 1 of two factors under the root sign.

c = 5 * sqrt(2)                      The 2 is left over because there is only 1 of them

sqrt(2) = 1.4142

c = 5 * 1.4142

c = 7.07 = 7.1