Tamika made a deposit of $1,800 into an account that earns annual simple interest. After 9 years, Tamika had earned $1,458 in interest. Assuming she did not make any additional deposits or withdrawals over the 9 years, find the simple interest rate of the account. No files please!

The term 5 in 5x is known as the coefficient of the expression.

A coefficient is defined as a term or a number which is multiplied by a variable. This constant terms generally precedes the variable term.

A coefficient is a generally a multiplicative factor in a polynomial series, or in an  equation.

Expressions are mathematical statements which are composed of two terms in which at least one contain variables, numbers, or both. These terms are either numbers or variables or numbers and variables multiplying each other. These expressions are a combination of numbers with mathematical ,operators are used to separate them.

Eg, 2x - 90 =45

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Answer:

A

Step-by-step explanation:

Answer:

77 this answer is rounded to the nearest tenth

Step-by-step explanation:

The formula for the are of a circle is A=πr² so thats π7² which is equaled to about 153.9 since this is a semicircle you'd divide that by two giving you 76.96902.

On solving the provided question, we can say that - the area of the provided circle is A = [tex]113.04 cm^2[/tex]

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

here,

radius, r = 6 cm

Area of circle = [tex]\pi X r^2 = 3.14 X 6 X 6 \\[/tex]

A = [tex]113.04 cm^2[/tex]

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Answer:

7/15

Step-by-step explanation:

number of favorable outcomes (red jelly beans) = 7

number of total outcomes (total jelly beans) = 7 + 2 + 6 = 15

probability of red = number of favorable outcomes/number of total outcomes = 7/15

The probability of getting a red jelly bean is 7/15

Total number of jelly beans in the jar (sum of all the jelly beans): 7+6+2= 15

Total number of red jelly beans: 7

Therefore, the probability of getting a red jelly bean= number of red jelly beans/ total number of jelly beans

=7/15

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The area of the semi-circle with the radius of 4.1 mm, round to the nearest tenth is 52.8 mm²

The area of the semi-circle will be calculated by the formula -

Area = 1/2πr², where r is the radius of the circle.

Keep the values in formula to find the value.of area of semi circle

Area = 1/2×3.14×4.1²

Performing multiplication on Right Hand Side of the equation to find the area of the semi-circle

Area = 52.78 mm²

Round off the nearest tenth

Area = 52.8 mm²

Thus, the area of semi-circle with mentioned radius is 52.8 mm².

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There are several ways to make a graph to compare two sets of data, but one common method is to use a line graph.

The steps to create a line graph to compare two sets of data:

Organize the data: Arrange the data into two columns, one for each set of data. Each column should have a label at the top to indicate what the data represents.

Choose a scale: Decide on an appropriate scale for the x- and y-axes that will allow you to clearly display the data. The x-axis should represent the categories being compared, and the y-axis should represent the values of the data.

Plot the data: Using the chosen scale, plot the data points for each set of data on the graph. Use different colors or symbols for each set of data to make it easy to distinguish between the two.

Add a title: Give the graph a title that describes what the graph is showing.

Add a legend: Add a legend to the graph to indicate what each set of data represents.

Add labels: Label the x- and y-axes to indicate what they represent.

By following these steps, you can create a clear and informative line graph that allows you to easily compare two sets of data.

Other types of graph that can be used to compare two sets of data are bar charts, scatter plots, and stacked bar charts. The choice of graph depends on the type of data you have, and what you want to compare or highlight.

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Answer:

50.24 in.

Step-by-step explanation:

Step 1: Define/explain/formula.

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

Definitions:

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve.

The radius of this circle is 4.

Now, we simply plug the numbers into the formula.

[tex]\pi4^2(3.14*4*4)=50.24[/tex]

Step 3: Conclude.

Therefore, the area of this circle is 50.24 in.

Answer:

(a) Reason: angle in a semi circle is 90°

(b) PR = 19.2 cm

Step-by-step explanation:

(a) From the diagram.

∠PQR is 90° because point P,Q and R forms a semi circle, and angle in a semi circle is equal to 90°

(b) Applying

Pythagoras theorem,

a² = b²+c²................. Equation 1

From the diagram,

Where a = PR, b = RQ, c = QP.

Given: RQ = 9 cm, QP = 17 cm

Substitute these values into equation 1

(PR)² = 9²+17²

(PR)² = 81+289

(PR)² = 370

PR = √370

PR = 19.2 cm

9x² + 24x + 16, which is the full quadratic trinomial expressed as (3x +4)².

A trinomial expression is an algebraic expression containing three distinct terms, hence the name "trinomial expression". An algebraic expression called a trinomial expression contains three nonzero terms. A trinomial expression is formed when three monomials are added or subtracted from each other. A quadratic trinomial has the form: ax² + bx + c, where a, b, and c are nonzero real values.

Given that

9x² + 24x + 16

= (3x)² + 2(12x) + 16

= (3x)² + 2(3x)(4) + 4²

This is similar to a² + 2ab + b² = (a + b)².

So you can write:

= (3x + 4)²

= (3x +4) (3x + 4)

So this is a complete quadratic trinomial.

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Answer:

(-3, 5)

Step-by-step explanation:

parallelograms and relatively even shapes, so how ever far apart the bottom two vertices are apart is how far apart you would space the top ones. simply add the x coordinates absolute values (meaning ignore negative values for now) 6+0=0. 6 Units away from 3( top vertex is (3,7)) would be -3. for the y coordinates you gotta look at y coordinates of the top vertex and bottom right vertex. they're ten units apart. go ten up from -5( because the bottom left vertex is (-6,-5) and you get 5. so overall (-3,5) would be the last vertex

Answer:

(-3,5)

Step-by-step explanation:

Since parallelograms are relatively even shapes, the distance between the bottom two vertices determines the distance between the top two. Simply add the absolute values of the x coordinates (meaning ignore negative values for now) 6 + 0 = 0 -3 is 6 units away from 3 (top vertex is (3,7)). Look at the y coordinates of the top vertex and bottom right vertex for the y coordinates. They're separated by ten units. Since the bottom left vertex is (-6,-5) and you get 5, go ten up from -5.

The solutions of the quadratic equation 3x² − x + 8 = 0 are as follows;

x = 0.1667 + 1.6245i

x = 0.1667 - 1.6245i

In Mathematics, the standard form of a quadratic equation is given by this mathematical expression;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

From the information provided above, we can logically deduce the following data values (parameters);

3x² − x + 8 = 0

Where:

Substituting the data values (parameters) into the quadratic formula, we have the following;

[tex]x = \frac{-(-1)\; \pm \;\sqrt{(-1)^2 - 4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;96}}{6}[/tex]

x = (1 ± √95)/6

x = (1 + √95)/6 = 0.1667 + 1.6245i

or

x = (1 - √71)/6 = 0.1667 - 1.6245i

In conclusion, i represents a complex number.

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Complete Question:

Find the solutions of the quadratic equation 3x² − x + 8 = 0.

The distribution has the greatest spread is

The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.

In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread

This is distribution 3 with a standard deviation of 7.2

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Answer:

-8 and -11

Step-by-step explanation:

all you do is divide both sides by -5 to get x<-4 (you swap the direction of the sign when you multiply or divide by a negative number) so the answers that are smaller than -4 are -8 and -11 NOT -4

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Answer:

5 trucks

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

MOEN fip

ew

Answer:

[tex] \tan(180 \degree + 30\degree) - 2 \tan(180\degree - 30\degree) \\ = \frac{ \sin(210\degree) }{ \cos(210\degree) } - 2 \frac{ \sin(150\degree) }{ \cos(150\degree) } \\ = \frac{ - 0.5}{ - \frac{ \sqrt{3} }{2} } - 2 \frac{0.5}{ - \frac{ \sqrt{3} }{2} } \\ = \frac{0.5 + 1}{ \frac{ \sqrt{3} }{2} } \\ = 0.693 \\ = ln(2) [/tex]

Answer:

y =x+3

y =-x²+[?]

Find the gradient;

What is the formula for the gradient of a graph?

Finding the gradient of a straight-line graph

X2 = 2

Y2 = 7

ΔX = 4

ΔY = 3

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

OR

X2 = -6

Y2 = 1

ΔX = -4

ΔY = -3

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

Answer: kite

Step-by-step explanation:

Looks like a kite

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kite

Step-by-step explanation:

this is a kite is a quartlateral but it bisects equally so it's a kite

Answer:

135°

Step-by-step explanation:

formula = (n-2) * 180, whereby 'n' is the number of sides.

therefore, (8-2) * 180 = 1080°

1080° ÷ number of sides

= 1080° ÷ 8

= 135°

Answer:

∠a = 135°

Step-by-step explanation:

There is a formula for finding the sum of the interior angles of any polygon.

N = number of sides

sum of interior angles = (180° x N) - 360°

so:

(180° x 8) - 360° = 1080°

1080°/8 angles = 135° each angle

Answer:

la respuesta sería ..many.. for I finite solutions ....lla que esta ecuación cepuede resolver de muchas formas como 3^2 pasando a multiplicar y muchos más metodos

The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

Therefore the answer is 4.24.

The first number, 2.3, can be broken down into 2 wholes and 3 tenths.

The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.

To add the two numbers together, we first add the wholes: 2 + 1 = 3.

Next, we add the tenths: 3 + 9 = 12

Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.

We add the regrouped tenths to the number of wholes: 3 + 1 = 4

After regrouping, we have 4 whole and 2 tenths.

Now we add the hundredths: 0 + 4 = 4

Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

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Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.

Here,

The halting problem is one of the most popular unsolved issues. It poses the following inquiry:

Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over

 The halting problem can be demonstrated to be indecidable and so unsolvable.

Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.

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At this rate, the ratio or proportion of red balloons to the total balloons, the number of red balloons out of 48 is 6.

Proportion describes the two or more ratios equated to each other.

Proportions are depicted as fractional values in decimals, fractions, or percentages.

In this situation, we equate the ratio or proportion of red balloons to the sample to determine the number that will likely be red.

The total number of balloons thrown in a water balloon fight = 6,960

The number of the balloons that are red = 870

The proportion of the red balloons to the total = 0.125 or 12.5% (870/6,960)

In a sample of 48 balloons, the number of red balloons will be 6 (48 x 0.125)

Thus, out of 48 balloons, there are 6 red balloons at this constant rate.

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Answer:

7

Step-by-step explanation:

49 ÷ 7 = 7

Square root is always dividing by a whole factor :)

Answer:

[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]

Step-by-step explanation:

we are given a inverse trig

we want to figure out the value of [tex]\theta[/tex]

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]

Answer:

1/4×322.54

=80.635

round off

it's 80.64

Answer:

the equation of line parallel to y=-3x+2

is y=-3x+k---(1)

Since,line(1) passes through point (4,3).

3=-3(4)+k

or,3=-12+k

or,k=3+12

:.k=15

Putting value of k in line (1), we get

y=-3x+15,which is the required eqn.

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