Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work.

I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t.

What was Mara’s error?
Mara did not substitute the values from the problem into the formula correctly.
Mara did not multiply correctly.
Mara did not divide correctly.
Mara divided when she should have multiplied.

[tex]\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}[/tex]

[tex] \red{ \star} \pmb{Diameter \: of \: the \: sphere = 7 m}[/tex]

[tex] \red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}[/tex]

[tex] \pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

[tex] \sf{Area \: available \: to \: motorcyclist \: for \: riding = Area \: of \: sphere}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4πr^2}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*\frac{22}{7}*3.5*3.5}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}[/tex]

The area available to the motorcyclist for riding is 154 m²

Diameter of the sphere = 7m

[tex]{Radius =\frac{7}{2} = 3.5 m}[/tex]

Area available to motorcyclist for riding = Area of sphere

[tex]{= 4πr^2} \\ \\ {= 4*\frac{22}{7}*3.5*3.5} \\ \\ {= 154}.[/tex]

The area available to the motorcyclist for riding is 154 m²

Answer:

A

Step-by-step explanation:

64

If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

The required two-column proof is presented as follows;

Statement                                                    Reason

∠1 and ∠a are linear pair angles                Given

∠1 + ∠a = 180°                                              Linear pair ∠s are supplementary

∠2 and ∠b are linear pair angles               Given

∠2 + ∠b = 180°                                             Linear pair ∠s are supplementary

∠a and ∠b are consecutive interior ∠s      Definition

x║y                                                               Given

∠1 and ∠b are corresponding angles        Definition

∠1 ≅ ∠b                                                        Corr. ∠s formed between║ lines

∠1 = ∠b                                                         Definition of congruency

∠a + ∠b = 180°                                              Substitution property

∠a and ∠b are supplementary                    Definition

We can conclude from the proof that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal.

Therefore, the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. So, ∠a and ∠b are supplementary angles.

Therefore, If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°

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Answer:

-10 x 2

10 x -2

5 x -4

4 x -5

20 x -1

-20 x 1

2 x 2 x -5

Step-by-step explanation:

Answer:

-1 x 20= -20

-20 x 1 = -20

-5 x 4= -20

-4 x 5= -20

-2 x 10= -20

-10 x 2= -20

-2 x 2 x 5 = -20

Step-by-step explanation:

use factors of 20

hope this hepled :)

Answer:

Probably the first one because the other two questions would be un-reliable

Step-by-step explanation:

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

We have the line y = -x + 5 ⇒ a₁ = -1.

Therefore

a₂ · (-1) = -1

-a₂ = -1     Ichange the signs

The perimeter of the given isosceles triangle is; 725.77 units

We are given;

Area of Isosceles Triangle = 56 units squared

Base of Isosceles Triangle = ¹/₃h where h is height

Formula for area of triangle is;

A = ¹/₂bh

A = ¹/₂ * ¹/₃h * h

A = ¹/₆h²

Thus;

¹/₆h² = 56

h² = 56 * 6

h = √336 = 18.33

Thus, base =  ¹/₃√336

Length of hypotenuse = √((√336)² + (¹/₃√336)²)

Length of hypotenuse = √(336 + (336/9))

Length of hypotenuse = 373.33

Thus, Perimeter of Triangle = 2(373.33) + ¹/₃(√336)

Perimeter = 725.77 units

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Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.

In an effort to demonstrate how much one variable is influenced by another, scatter plots are used to depict data points on a horizontal and vertical axis.

When there is no connection between two variables, it is called a zero correlation. For instance, there is no correlation between IQ level and the quantity of tea consumed.

Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.

Hence option D is correct.

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Answer:

no correlation

Step-by-step explanation:

Step-by-step explanation:

yes right angle measure 90 degrees

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The value of cos θ is 3/5.

Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.

Here, given point on circle is (0.6, 0.8) or (3/5 , 4/5)

x - axis (base) = 3/5

y - axis (Perpendicular) = 4/5

Radius (Hypotenuse) = 1

Now, we know

cos θ = Base / Hypotenuse

cos θ = 3/5

Thus, the value of cos θ is 3/5.

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Answer: You didn't give any data about the cylinder

Step-by-step explanation:

The cylinder is just an extruded circle. To calculate the cylinder's volume you need to multiply its base circle by the cylinder's height.

To do that, get the circle's radius and square it. Multiply the squared radius by 3.14.

After that, multiply the result by the cylinder's height

Answer:

when multiply with exponents you add so

(3a^2b^7)(5a^3b^8)=15a^5b^13

Hope This Helps!!!

Answer:

The amount of time he spent on the bicycle using substitution method is 4.5 hours .

Step-by-step explanation:

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

A linear equation is defined as an equation that is written in the form of Ax+By=C. It is the combination of two variables and a constant value present in them.

The first step in the substitution method is to find the value of any one of the variables from one equation in terms of the other variable.

Let the total time taken  to complete the race by bicycle be x

Let the total time taken  to complete the race by walking be y

We know,

Speed=Distance/Time

4y+30x=145

x+y=7

Using the substitution method ,

x=7-y

4y+30(7-y)=145

4y+210-30y=145

210-145=26y

y=65/26

y=2.5

So, the amount of time he spent on bicycle is x

x=7-y

x=7-2.5

x=4.5 hours

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The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is:

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?

9 cm

10 cm

14 cm

15 cm

We have:

The longest side of an isosceles obtuse triangle measures 20 centimeters.

Let's assume the unknown side length is x:

In the isosceles obtuse triangle, two sides are congruent.

As we know the sum of the two sides in a triangle is greater than the third side length:

x + x > 20

2x > 20

x > 10

a² + b² < c²

14 will satisfy the above two inequaility.

Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.

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Answer: C

Step-by-step explanation:

[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]

The flow chart is complete and the answers are given below.

Those figures that have same shape and size are called Congruent Figures.

The flow diagram will be completed as follows

∠2 ≅ ∠4 (  vertical angle theorem )

∠1   ≅  ∠2  ( Given )

∠1  ≅ ∠ 3  ( Vertical Angle Theorem)

∠3   ≅  ∠4  ( Transitive Property of congruence)

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A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Using the ASA congruency the triangles are congruent.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

For the two of the given triangles ΔACY and ΔDXB,

Since the measure of the two angles and one side of the two triangles are equal, therefore, using the ASA congruency the triangles are congruent.

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Answer:

Value of x is 20.

Step-by-step explanation:

The angle opposite to 4x is also 4x.

Similarly, the angle opposite to 5x is also 5x.

So, 4x+4x+5x+5x=360

18x=360

x=360/18

x=20

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The speed of the boat in still water is 18 mph.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know distance = speed×time.

Therefore, time = distance/speed.

Let, The speed of the boat at still water be 'x'.

Therefore, From the information,

94/(x + 6) = 47/(x - 6).

94(x - 6) = 47(x + 6).

94x - 564 = 47x 282.

47x = 846.

x = 18.

So, The speed of the boat is 18 mph in still water.

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By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.

Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.

Each element of an matrix A has an associated index with the following form:

[tex]a_{i,j}[/tex]

Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".

In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.

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Answer:

x=10

Step-by-step explanation:

Simran's Journey was 35 minutes less on Thursday as compared to Wednesday

Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.

Two distance time graph is given

The Wednesday graph shows the time taken by Simran is

Total Time = 40 minutes

and

The Thursday graph shows the time taken by Simran is

Total Time = 5 minutes

Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday

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Answer:

...

Step-by-step explanation:

The positive linear correlation is present in the scatter plot option first “positive” is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\[/tex]

[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have given a scatter plot in the picture.

As we can see in the scatter plot the dots are not so close that the correlation between x and y will be weak.

If we draw a line of best fit the slope of the line will be positive, the correlation will be positive.

Thus, the positive linear correlation is present in the scatter plot option first “positive” is correct.

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Answer:

c = 37 mi

Step-by-step explanation:

   To find 'c' use Pythagorean theorem.

 [tex]\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}[/tex]

                     c² = 35² + 12²

                         =1225 + 144

                        = 1369

                    [tex]\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}[/tex]

Answer:

C. 6

Step-by-step explanation:

6*1=6

6*3=18

6*4=24

6*7=42

Hope this helps!

If not, I am sorry.

Answer:

f(4) = 5

Step-by-step explanation:

The notation used for a point is (x,y). The first number is the x and the second number is the y.

In function notation, you have f(x) = y.

The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.

For the point (4,5), 4 is the x so it goes by the f. 5 is the y so it goes by itself on the other side of the equal sign.

f(4) = 5

The solution is :  f(4) = 5, the equation must be true.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

The notation used for a point is (x,y).

The first number is the x and the second number is the y.

In function notation, you have f(x) = y.

The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.

For the point (4,5), 4 is the x so it goes by the f.

5 is the y so it goes by itself on the other side of the equal sign.

f(4) = 5

Hence, The solution is :  f(4) = 5, the  equation must be true.

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Not sure how to explain

its 5 white and 15 red

Answer:

48 : 72

Step-by-step explanation: