Here is Cho's logo.

They want to create stamps of their logo.

If the stamp is
3
5​ inches wide, what does the height need to be?

Pls help ( need this by 9!!)

There is another part to this question look in the comments before solving

Answer:2. and 4 it looks like

Step-by-step explanation:

top right =  43

bottom right- 32

middle = 105

Answer is

B= 32*

D= 43*

F= 105*

Step by step

∠at point B is is opposite interior angle to angle at point C, so it’s congruent or the same, so

∠B = 32*

∠ at point D is a supplement angle to 137. Supplement angles sum = 180.

180 - 137 = 43.

∠ at point F will follow triangle angle sum theorem - the sum of interior angles of a triangle is 180°. We have 32* + 43* = 75*.

180 - 75 = 105 degrees for both angles at point F.

This is the simplified form of the expression.

2x^2 + 4x - 9y^2 - 4y

Simplifying:

3x^2 + 2y^2 - x^2 + 4x - 5y^2 - 4y

The process of simplifying an expression involves combining like terms and eliminating any unnecessary terms. In the given expression, we have multiple terms that have the same variable and exponent, these are called like terms. Like terms can be combined by adding or subtracting their coefficients.

In this case, we have 3x^2 and -x^2, the x^2 terms have the same exponent and variable so they can be added together by combining their coefficients (3-1) = 2x^2.

3x^2 - x^2 + 4x - 5y^2 - 4y + 2y^2

Similarly, we have -5y^2 and 2y^2, the y^2 terms have the same exponent and variable so they can be added together by combining their coefficients (-5+2) = -3y^2.

The x terms and y terms are separated and not interacting with each other, so we can't combine them. Finally, we have -4y and 4x, they are not like terms and can't be combined.

So, we have 2x^2 + 4x - 3y^2 - 4y as the simplified form of the expression.

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Answer:

[tex]e\approx2.71828[/tex]

Step-by-step explanation:

I assume you mean [tex]\lim_{x \to 0} (1+x)^{\frac{1}{x}}[/tex], which is just the definition of the constant [tex]e[/tex], also known as Euler's Number.

No, only 21% of the seats were occupied if 117 children had seats in the stall. Yes, more than 60% of the seats were occupied if if 117 children had seats in the circles. 63% of seats were occupied.

Ratio: The numerical relationship between two numbers indicating how frequently one value contains or is included within the other.

Percentage: Whenever a quantity or ratio can be stated as a fraction of 100, it is said to be a percentage. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

According to question:-

3/4 of children had seats in the stalls.

if  117 children has seats in the stalls.

Let the number of children be x, since 3/4 had seats in the stall, we have:

3/4*x = 3/4x.

The 3/4 fraction of children was 117.

= 3/4 of x = 117

= 3x/4 = 117

3x =117 x 4

3x = 468

x = 156 children in total.

117 children has seats in the stalls and 39 had seats in the circle

The ratio of the number of adults to the number of children was 5:2= 5+2=7

To find the total number of people: represent as y and use the ratio of children. Thus, we have

2/7 of y = 156

2y/7 = 156

2y = 156x7

2y= 1092

y = 546

Thus, the total number of people there are 546 and they occupy 546 seats out of 2600 seats. Thus we have:

546 / 2600 = 0.21 = 21%.

If 117 children had seats in the circle, then we have, 117 x 4 = 468 (total number of children)

Then using the ratio: 2/7 of y = 468 =     2y = 468x7

2y = 3276

y= 1,638

Thus, the total number of people there are 1,638 and they occupy 1,638 seats out of 2600 seats. Thus we have:

1638 / 2600 = 0.63 = 63%.

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The graph of the inequality y ≥ -√6x  is attached below.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

y ≥ -√6x

Find the coordinates by putting the value of x in the above inequality as shown below,

For x = 0, y ≥ 0

For x = 1, y ≥ -√6

For x = 2, y ≥ -2√6

For x = 3, y ≥ -3√6

For x = 4, y ≥ -4√6

For x = 5, y ≥ -5√6

For x = -1, y ≥ √6

Mark the above value on the graph, and find the solution.

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To determine the value of an expression, substitution entails substituting numbers for letters.

In an algebraic statement, substitution refers to substituting the variables' (variables') letters with their numerical values. After that, we may calculate the expression's overall value.

To determine the value of an expression, substitution entails substituting numbers for letters.

Steps for the Replacement Method

x plus 3x equal to 32

4x equal to 32

xequal to 8

Therefore, the answer is -8.

The complete question is:

System of equations using substitution.

y=3x

x+y=-32

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The required solution of the given equation is x = y = -8.

The replacement strategy is the arithmetical technique to tackle synchronous straight conditions. As the word says, in this strategy, the worth of one variable from one condition is subbed in the other condition.

We have,

x = y

And 3x + y = -32

Then

3x + x = -32

4x = -32x

x = -8 = y

Thus, solution of equation x = y = -8.

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13) No, The triangle is not similar.

14) No, The triangle is not similar.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in figure with sides.

Here,

13) The sides of triangles are,

In triangle KJL;

KJ = 87

LJ = 95

In triangle JHG;

JH = 72

JG = 68

Clearly, The there corresponding sides are not equal and also the ratio of there corresponding sides are also not equal.

Hence, The both triangle are not Similar.

14) The sides of triangles are,

In triangle ABE;

AE = 21

BE = 16 + 26 = 42

In triangle ECD;

EC = 16

ED = 32

Clearly, The there corresponding sides are not equal and also the ratio of there corresponding sides are also not equal.

Hence, The both triangle are not Similar.

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The measures of the missing angles for m<1, m<2, m<3, m<4, and m<5 are 35°, 145°, 55°, 125°, and 55°, respectively.

[tex]$m \angle 1=$[/tex] 35°

[tex]$m \angle 2=$[/tex] 180° - 35° = 145°

[tex]$m \angle 3=$[/tex] 90° - 35° = 55°

[tex]$m \angle 4=$[/tex]180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°

[tex]$m \angle 5=$[/tex]∠3 = 55°

When we have two sides and the angle between them, we have "SAS." Calculate the unknown side using the Law of Cosines, then find the lesser of the other two angles using the Law of Sines, and finally find the final angle by adding the three angles together to make 180 degrees.

The law of sines states that the ratio of a triangle's side length to the sine of its opposing angle is constant. Given enough data, it is possible to use the law of sines to determine the unknown angles and sides of a triangle. The law of sines states that the ratio of a triangle's side length to the sine of its opposing angle is constant.

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Answer:

speed=distance/time

v= m/s

we will convert the hours to seconds

1 hour= 3600 secs

5hours =x secs

we cross multiply ❌

5 × 3600 = 18,000

converting minutes to seconds

60 minutes make one hour

so 60 × 15 = 900

18000+900= 18,900

380/18900= 0.02 ans

The equation of the line through the points (-5,2) and (0,3) is y = (1/5) * x + 3

The equation of the line through the points (-5,2) and (0,3) can be found using the slope-intercept form of a line, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept, or the point where the line crosses the y-axis.

To find the equation of the line through the points (-5,2) and (0,3), we need to first calculate the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the points (-5,2) and (0,3) gives us:

m = (3 - 2) / (0 - (-5)) = 1 / 5

Next, we need to find the y-intercept of the line. We can do this by plugging the slope (m) and one of the points (-5,2) into the slope-intercept form of a line:

y = mx + b

= (1/5) * (-5) + b

= -1 + b

= 2

Solving for b gives us:

b = 2 + 1 = 3

So, the y-intercept of the line is (0,3).

Finally, we can plug the slope (m) and y-intercept (b) into the slope-intercept form of a line to get the equation of the line through the points (-5,2) and (0,3):

y = (1/5) * x + 3

This is the answer to the question.

The total amount paid for the car is $13,200.00.

The simple interest formula is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Convert the interest rate to decimal

Rate r = 3.5%

Rate r = 3.5/100

Rate r = 0.035

Plug the given values into the above formula and solve for accrued amount A.

A = P( 1 + rt )

A = $12,000( 1 + (0.035 × 3) )

A = $12,000( 1 + 0.105 )

A = $12,000( 1.105 )

A = $13,200.00

Therefore, the accrued amount is $13,200.00.

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14. The value of 15 - 3.2 + 2(0.5) is 12.8

15. The value of -3/4 + (3/4 - 4/5) is - 4/5.

16. The value of -2(2 3/4) + (-2)(-1/4) is -5.

17. The value of -2(4.6 - 3.5) is -2.2

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator

The value of 15 - 3.2 + 2(0.5) is:

= 15 - 3.2 + 1

= 12.8

The value of -3/4 + (3/4 - 4/5) is:

= -3/4 + 4 - 4/5

= - 4/5.

1The value of -2(2 3/4) + (-2)(-1/4) is:

= -5 1/2 + 1/2

= -5.

The value of -2(4.6 - 3.5) is:

= -2(1.1)

= -2.2

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Answer:

15%

Step-by-step explanation:

The chance to get a blue marble at the start is 7/14 which is 50%

If you take out a blue marble, it becomes 6/14, then 5/14

5x6x7÷14=15 15%

Answer:

D. x > -2 and x ≤ 1

Step-by-step explanation:

-5 < 4x + 3 ≤ 7

-8 < 4x ≤ 4

-2 < x ≤ 1

x > -2 and x ≤ 1

Inverse variation is the relationships between variables that are represented in the form of [tex]y=\frac{k}{x}[/tex], where [tex]x[/tex] and [tex]y[/tex] are two variables and [tex]k[/tex] is the constant value. It states that if one quantity's value rises, the other quantity's value falls.

We notice that the variation in values of one quantity depends on the variation in values of another quantity in our day-to-day lives. A variable's inverse variation in relation to another variable is known as inverse variation. It exemplifies the opposite relationship that exists between two quantities. As a result, a variable and another variable are inversely proportional.

In everyday life, there are numerous real-world examples of inverse variation. For instance:  If a train travels at a constant speed for a greater distance, it takes longer to complete the journey, and vice versa. On the other hand, if more people are assigned to a job, it takes less time to complete it.

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Answer:

Step-by-step explanation:

the answer is C

Answer:

18

Step-by-step explanation:

To find out how many points Yvonne scored per game, we need to divide the total number of points she scored by the number of games she played.

We can set up the equation like this: points per game = total points / number of games

Plugging in the values we know, we get: points per game = 108 points / 6 games

Solving for points per game, we find that Yvonne averaged 18 points per game.

So, the answer to the question is 18.

To find the average amount of points Yvonne scored each game, we need to divide the total number of points by the number of games played.

We know that she played games. We also know that she scored a total of 108 points.

[tex]108\div6[/tex]

[tex]=\fbox{18}[/tex]

The unknown value of the given expression is 750.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Let x represents the square.

And y and z represent the triangle and star, respectively.

So, from the diagram we have,

x + 3y + z = 51   ....(1)

12x + 5z = 234   .....(2)

8x -6x + 3x = 60

That means,

x = 12

So, from the equation (2),

144 + 5z = 234

z = 18

Then y = 7.

Now, the required diagram in the equation form,

z(y+z-x) + x(y + z + z) = n

Substituting, the value of x, y and z,

n = 234 + 516

n = 750

Therefore, the unknown value is 750.

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Answer:A≈706.86cm²

Step-by-step explanation:

A = πr^2 = π·15^2 ≈ 706.85835cm²

Answer:

  180.1 g

Step-by-step explanation:

You want to know the mass of a radioactive isotope on the 19th day if it was 1200 g on the first day and decreased 10% per day.

The form of the equation for exponential decay is ...

  m(t) = a·b^(t-n)

where m is the remaining mass, 'a' is the amount on day n, and 'b' is the growth factor, equal to 1 plus the growth rate.

Here, we have a=1200 g on day n=1, and the growth rate is -10%, so ...

  b = 1 -0.10 = 0.90

That means ...

  m(t) = 1200·(0.90^(t -1))

On day 19, the beginning amount is ...

  m(19) = 1200·0.90^18 ≈ 180.1 . . . . grams

The mass of the sample at the beginning of day 19 is 180.1 grams.

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Exponential decay is a process by which a quantity decreases at a rate proportional to its current value. The rate of decay is usually expressed as a fraction or percentage of the quantity that decays in a unit of time.

For example, the radioactive element uranium-238 has a half-life of 4.468 billion years. This means that, on average, half of the atoms of uranium-238 will decay into another element (such as lead-206) in 4.468 billion years.

The half-life of a quantity is a measure of the time it takes for the quantity to decay to half of its initial value. The half-life of a quantity can be different for different types of decay.

Exponential decay is a particular kind of mathematical decay. It is characterized by a decrease that is proportional to the current value of the quantity. The half-life of a quantity is a measure of the time it takes for the quantity to decay to half of its initial value.

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The other point on the graft points of coordinates is  (3,0)

(-3,-5) and (-3,0) satisfy the condition given.

The coordinates of a point is the values of the the two straight lines that intersected at that point.

A point on a vertical line has coordinates (3,12).

Since, the other points lie on that line, those must have same x component with pre-defined point (3,12)

This implies that  (3,12) and (3,0) satisfy the coordinates of the points

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Correct question:

A point on a vertical line has coordinates (3.12). Which points would be on the same line?

The required slope of the graph represents that 0.5° F of temperature increases per minute.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Locate two points on the graph,

(0, 65) and (20, 75)

The slope is given as,

m = (y₂ - y₁) /  (x₂ - x₁)

m = 75 - 65 / 20 - 0

m = 1/2

Thus, the required slope of the graph represents that 0.5° F of temperature increases per minute.

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Using the concept of rounding off and with the numerical values provided, The answer is 1350 and 300 rounding to nearest tens.

Rounding off refers to the process of approximating a number to a nearby value that has a certain number of significant digits or decimal places. For example, rounding the number 3.14159 to two decimal places would give 3.14, and rounding the number 12345 to the nearest thousand would give 12000. Rounding is often used in situations where precise measurements are not necessary or when the precision of a calculation is limited by the available resources.

A real number is a value that can represent a quantity along a continuous number line, such as integers and fractions. Real numbers include both rational numbers, which can be expressed as the ratio of two integers (such as 3/4), and irrational numbers, which cannot be expressed as the ratio of two integers (such as the square root of 2). Real numbers can be positive or negative, and they can be expressed in decimal form or in fractional form.

426+926 = 1352

round to nearest tens, 1350

739-437 = 302

round to nearest tens, 300

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Three out of the six points shown that is a solution to the equation 2x+y=6 is (1,-6), (-1,8), and (5, -4).

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The graph's points often show the relationship between two or more things.

By employing X and Y coordinates, a point is plotted on a coordinate plane.

If the equation 2x+y=6 is plotted on a graph along with the points (1,-6), (7,-3), (3,-5), (-1,8), (3,0), and (5,-4), the equation will be solved. Afterward, it can be seen that the line's connecting points are (1,-6), (-1,8), and (5, -4).

As a result, the graph's points are (1,-6), (-1,8), and (5, -4).

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The value of the sequence aₙ₊₁ is -5.5

The definition of the sequence is given as

8.0, 6.5, 5.0, 3.5, . . .

The above definitions imply that we simply subtract 1.5 from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ₊₁ = aₙ - 1.5

From the question, we have

aₙ = -4.0

Substitute the known values in the above equation, so, we have the following representation

aₙ₊₁ = -4.0 - 1.5

Evaluate

aₙ₊₁ = -5.5

Hence, the value of aₙ₊₁ is -5.5

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The values of x and y are x= 24 and y=25

What are transversal lines ?

In geometry, a transversal is any line that intersects two straight lines at distinct points

3y and 75 are alternate interior angles that are equal

3y=75

=> y=75/3 = 25 degrees

4x+9 and 3y add up to 180 degrees

4x+9 + 3y = 180

=>  4x+9 + 3(25) = 180

=>  4x+9 +75 = 180

=>  4x+ 84 = 180

=> 4x = 180 -84 = 96

=> x= 96/4 = 24

The values of x and y are x= 24 and y=25

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By solving a linear equation, we will see that lines are parallel only if x = 15.

Ok, so we know that:

Notice that angle 2 is on the third quadrant of the intersection at the top, and angle 4 is on the second quadrant of the intersection below.

The two lines will be parallel only if these two angles are supplementary, this means that the measures add up to 180°.

Then we need to solve this linear equation:

2x + 10 + 4x + 80 = 180

Now we can solve that for x.

2x + 4x + 10 + 80 = 180

6x + 90 = 180

6x = 180 - 90

6x = 90

x = 90/6 = 15

So the lines A and B are parallel if and only if x = 15.

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