Use the hundredths grid to answer the question. A 10 by 10 grid is shown. 4 columns and 7 squares are shaded. 2 columns and 5 squares are shaded. Which equation is shown by the shaded area of the model? A. 0 . 29 + 0 . 43 = 0 . 72 B. 0 . 43 + 0 . 22 = 0 . 65 C. 0 . 47 + 0 . 25 = 0 . 72 D. 0 . 23 + 0 . 42 = 0 . 65

Answer:

0.5555 = 55.55% probability that Max will get the job.

Step-by-step explanation:

What is the probability that Max will get the job?

The sum of all probabilities is 100% = 1, so, considering Max's probability as x:

\(x + \frac{1}{3} + \frac{1}{9} = 1\)

\(\frac{9x + 3 + 1}{9} = 1\)

\(9x + 4 = 9\)

\(9x = 5\)

\(x = \frac{5}{9}\)

\(x = 0.5555\)

0.5555 = 55.55% probability that Max will get the job.

The max has probability of getting this job is x= 0.5555 and 55.55%

Suppose that ;

Max has probability of getting this job is = x

and other two companies have probability to get job is \(\frac{1}{3} or \frac{1}{9}\).

Sum of the probability have bid a job is 100% which is equal to 1.

According to given question ;

Sum of all the companies having probability to get the job = 1

\(x + \frac{1}{3} + \frac{1}{9} = 1\)

\(\frac{9.x+1.3+1.1}{9} = 1\\9x+3+1 = 9.1\\9x+4 =9\\9x = 9-4\\9x = 5\\x = \frac{5}{9}\)

x = 0.5555

The Max has probability of getting this job is x= 0.5555 or 55.55%

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Answer:

We conclude that the constant of dilation is: 4

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The coordinates of the image point can be determined by multiplying the coordinates of the original point by a certain scale factor.

Given the point A'(12, 4) is the image of A(3, 1).

It is clear that the image point A'(12, 4) is enlarged 4 times of the original point A(3, 1).

It means the image point A'(12, 4) is determined when the original point A(3, 1) is dilated by a scale factor of 4.

i.e.

A(3, 1) → A'(4(3), 4(1)) → A' (12, 4)

Therefore, the rule of dilation by a scale factor 4 is:

P(x, y) → P'(4x, 4y)

Hence, we conclude that the constant of dilation is: 4

Answer:

Step-by-step explanation:

70.699125

Answer: 200 miles

Step-by-step explanation:

Answer:

x = ± 5i

Step-by-step explanation:

x² + 25 = 0 ( subtract 25 from both sides )

x² = - 25 ( since negative the roots are not real )

Take square root of both sides

x = ± \(\sqrt{-25}\) = ± \(\sqrt{25(-1)}\) = ± 5i

Answer:

Step-by-step explanation: the y would be 50

Answer:

Step-by-step explanation:

I'd suggest a bar graph. Some may suggest a pie chart, but it can be visually difficult to quickly tell the difference in sizes between slices of the pie in pie charts when there are a lot of options. With a bar graph, it is usually very easy to see which bar is the tallest.  

Answer:

10b/y^2

Step-by-step explanation:

Hope this helps! :)

1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)

2. f(1)/f(0) = 1.15.

3. f(2)/f(1) = 1.149.

Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.

i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:

f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]

f(1)/f(0) = 1.15/1

f(1)/f(0) = 1.15

ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:

f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]

f(2)/f(1)= (1.3225) / (1.15)

f(2)/f(1) = 1.149

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We know

\(\boxed{\sf Volume=Area\:of\:Base\times Height}\)

\(\\ \sf\longmapsto Area\:of\:Base=\dfrac{Volume}{Height}\)

\(\\ \sf\longmapsto Area\:of\:Base=\dfrac{1088}{8}\)

\(\\ \sf\longmapsto Area\;of\:base=136ft^2\)

Answer:

the answer is in the picture

The probability that a randomly selected apartment from this group has a monthly rental from $800 to under $900 or is located in york is 0.688 .

Given :

the probability that a randomly selected apartment from this group has a monthly rental from $800 to under $900 or is located in york is .

From the table :

Total number of selected apartments is,

n = 125

The number of selected apartments located in York,

y = 39

The number of selected apartments located in Lancaster,

l = 47

Probability p = 39 / 125 + 47 / 125

= 39 + 47 / 125

= 86 / 125

= 0.688

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Full question :

The following contingency table shows the number of two-bedroom apartments grouped by monthly rent and location.

Monthly Rent York Lancaster Dover Total

$600 to under $700 6 15 9 30

$700 to under $800 30 21 24 75

$800 to under $900 15 18 12 45

Total 51 54 45 150

What the probability that a randomly selected apartment from this group has a monthly rental from $800 to under $900 or is located in york is .

Answer:

It's because Maya friend did not pass gas

Answer:

No

Step-by-step explanation:

It's not a function because the Input (x) repeats

The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer: x=-3

Step-by-step explanation:

First let's eliminate the square root

\((\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17\)

Now subtract \(x^2\\\) from both sides

\(x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17\)

Subtract 2 from both sides

\(-5x+2-2=17-2\\-5x=15\)

Finally divide both sides by -5

\(\frac{-5x}{-5} =\frac{15}{-5} \\x=-3\)

The solution of the expression \(\sqrt{z^4\times z^{\frac{-3}{2}}\) will be z⁵.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The expression will be solved as:-

\(E = \sqrt{z^4\times z^{\frac{-3}{2}}\)

\(E = \sqrt{(z)^{4- {\frac{3}{2}\)

E = z⁵

Therefore, the solution of the expression is z⁵.

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The solution is given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Remember that the Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

According to this, the correct answer is: given below.

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The value of cos(A-B)cos(A−B) in the simplest form is 76/861

The angles having measures less than 90° is considered as an acute angle.

Given that, For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.

Finding sinA and cosB,

cos²x+sin²x = 1

Therefore,

sinA = \(\sqrt{1-cos^{2}A}\)

sinA = √1-(⁴⁰/₄₁)²

sinA = 9/41

Now,

cosB = \(\sqrt{1-sin^{2}B }\)

cosB = √1-(²⁰/₂₁)²

cosB = √41/21

Using formula,

cos(A+B)cos(A−B) = (cosAcosB−sinAsinB)

cos(A+B)cos(A−B) = [40/41x√41/21]-[9/41x20/21]

= 40√41/861-180/861

= [256-180]/861

= 76/861

Hence, the value of cos(A+B)cos(A−B) is 76/861

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Answer:

a number, r, added to 6

Step-by-step explanation:

a number, r, added to 6

Answer:

a number, r, added to 6

Step-by-step explanation:

a number, r, added to 6

\(\text{(H, A and S), (Y, D and T) and (H, D and S)}\)

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.

2 The expression  3ˣ⁺¹=3 is matched with graph C.

3) The expression 4ˣ = 3 is matched with graph

4 ) The expression 1ˣ/4 = 3 is matched with graph

1) The graph of the expression 2⁻ˣ⁺³ = 3  represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).

2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.

3)  The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.

4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.

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Answer:

1. 19/100

2. 3/10

3. 80%

4. 85%

5. 3/20

Answer:

The compound inequality which is used to model the normal rage of pH values of water is:

x>6.5 and x<8.5    (6.5<x<8.5)

Step-by-step explanation:

It is given that:

Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5.

This means that the pH level of the water will lie in the range in between 6.5 and 8.5 excluding them.

Hence, if the pH level is less than or equal to 6.5 or greater than or equal to 8.5 then it could not be used for drinking purpose.

If x represent the pH of the normal drinking water then:

                 6.5 < x < 8.5

i.e. x>6.5 and x<8.5

Answer:

SSS: LM = AB and MN = AC

HL: AC = MN

Step-by-step explanation:

✔️Information that is necessary to prove that both triangles are congruent by SSS are:

LM = AB

MN = AC

This will is because all three corresponding sides must be congruent to each other to satisfy the SSS Congruence criterion.

✔️Information necessary to prove that the triangles are congruent by HL:

We already know that one of the corresponding legs are congruent to each either. The additional information necessary to satisfy the HL Congruence criterion is to know the hypotenuse length of each which must be congruent to each other. This, information necessary would be:

AC = MN