rewrite as an exponential function
ln9=y

6.  Jim's house is 5.1 miles from the mall

7. Jim's house is closer to the mall by 0.3 miles.

8. The total distance of the round trip is 5.7 miles + 5.7 miles = 11.4 miles.

Since Jim's car has 25 miles until it runs out of gas and the round trip is 11.4 miles, Jim would be able to make it from his house to the grocery store and back without stopping for gas.

9. Jim had traveled 5.4 miles / 2 = 2.7 miles when his wife called.

10. The park is within 5 miles of Jim's house.

6. How many miles is Jim's house from the mall?

To find the distance between Jim's house and the mall, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the coordinates of Jim's house are (12, 11) and the coordinates of the mall are (7, 10). Plugging these values into the distance formula, we get:

distance = sqrt((7 - 12)^2 + (10 - 11)^2)

distance = sqrt(25 + 1)

distance = sqrt(26)

distance = 5.1 miles (rounded to the nearest tenth)

Therefore, Jim's house is 5.1 miles from the mall

7. Is Jim's house closer to the mall or the bank? How many miles closer is it?

To find which point is closer to Jim's house, we can calculate the distance between Jim's house and each point and compare the results.

The distance between Jim's house and the bank is:

distance = sqrt((14 - 12)^2 + (16 - 11)^2)

distance = sqrt(4 + 25)

distance = sqrt(29)

distance = 5.4 miles (rounded to the nearest tenth)

Therefore, Jim's house is closer to the mall by 0.3 miles.

8. Jim is at his house, and his car has 25 miles until it runs out of gas. Would Jim be able to make it from his house to the grocery store and back without stopping for gas? Explain.

To find out if Jim can make it from his house to the grocery store and back without stopping for gas, we need to calculate the total distance of the round trip.

The distance between Jim's house and the grocery store is:

distance = sqrt((16 - 12)^2 + (15 - 11)^2)

distance = sqrt(16 + 16)

distance = sqrt(32)

distance = 5.7 miles (rounded to the nearest tenth)

Therefore, the total distance of the round trip is 5.7 miles + 5.7 miles = 11.4 miles.

Since Jim's car has 25 miles until it runs out of gas and the round trip is 11.4 miles, Jim would be able to make it from his house to the grocery store and back without stopping for gas.

9. Jim left his house and drove to the bank. On his way back home, Jim's wife called when he was exactly halfway home. How many miles had Jim traveled when his wife called?

To find the distance Jim had traveled when his wife called, we can divide the total distance between Jim's house and the bank by 2.

The distance between Jim's house and the bank is:

distance = sqrt((14 - 12)^2 + (16 - 11)^2)

distance = sqrt(4 + 25)

distance = sqrt(29)

distance = 5.4 miles (rounded to the nearest tenth)

Therefore, Jim had traveled 5.4 miles / 2 = 2.7 miles when his wife called.

10. Jim is hoping that a park will be built within 5 miles of his house. If a park is built at the coordinates (12, 10), does that meet Jim's criteria? Explain.

To find out if the park is within 5 miles of Jim's house, we can calculate the distance between the park and Jim's house.

The distance between the park and Jim's house is:

distance = sqrt((12 - 12)^2 + (10 - 11)^2)

distance = sqrt(1)

distance = 1 mile (rounded to the nearest tenth)

Therefore, the park is within 5 miles of Jim's house.

Answer:

Taylor is 14.

Step-by-step explanation:

Max is 3. Emma is six years older than Max.

3+6=9

Emma is 9. Taylor is five years older than Emma.

9+5=14

Answer:

14 yrs old

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]|x-7|=5[/tex]

We know that we need to write our absolute value equation as [tex]|x-b|=c[/tex]. We also know that the solutions must be [tex]x=2[/tex] and [tex]x=12[/tex]. We need to replace those values for [tex]x[/tex] in our absolute value equation, so we can create a system of equations and find the values of  [tex]b[/tex] and [tex]c[/tex].

- For [tex]x=2[/tex]

[tex]|x-b|=c[/tex]

[tex]|2-b|=c[/tex] equation (1)

- For [tex]x=12[/tex]

[tex]|x-b|=c[/tex]

[tex]|12-b|=c[/tex] equation (2)

Now we can solve our system of equations step-by-step:

Step 1. Replace equation (1) in equation (2)

[tex]|12-b|=|2-b|[/tex]

Step 2. Square both sides of the equation to get rid of the absolute values

[tex]|12-b|=|2-b|[/tex]

[tex](12-b)^2=(2-b)^2[/tex]

Step 3. Use the square of a binomial formula: [tex](a-b)^2=a^2-2ab+b^2[/tex] and solve the equation.

For our first binomial, [tex](12-b)^2[/tex], [tex]a=12[/tex] and [tex]b=b[/tex]; for our second binomial, [tex](2-b)^2[/tex], [tex]a=2[/tex] and [tex]b=b[/tex]

[tex](12-b)^2=(2-b)^2[/tex]

[tex]12^2-(2)(12)(b)+b^2=2^2-(2)(2)(b)+b^2[/tex]

[tex]144-24b+b^2=4-4b+b^2[/tex]

[tex]144-24b=4-4b[/tex]

[tex]140=20b[/tex]

[tex]b=\frac{140}{20}[/tex]

[tex]b=7[/tex] equation (3)

Step 4. Replace equation (3) in equation (2) to find the value of [tex]c[/tex]

[tex]|12-b|=c[/tex]

[tex]|12-5|=c[/tex]

[tex]|7|=c[/tex]

[tex]c=7[/tex]

Putting it all together we can conclude that our absolute value equation is [tex]|x-7|=5[/tex]

Answer:Ix-7I=5

Hope this helps lol

Answer:

.04

Step-by-step explanation:

(5^10)/(5^12)

5 to the tenth power = 5×5×5×5×5×5×5×5×5+5 = 9,765,625

5 to the twelfth power = 5×5×5×5×5×5×5×5×5×5×5×5 = 244,140,625

244,140,625 ÷ 9,765,625 =25

9,765,625 ÷ 244,140,625 =0.04

hope this is what ur looking for :)

I think it is A for this question

I think the answer is B) 6 + y because and usually means add

Answer:

The third side must be 10:  {3, 10, 10}; {10, 3, 3} is not possible.

Step-by-step explanation:

Everything depends on our understanding of "isosceles."

This term indicates that two sides of a given triangle are equal.

If two sides of an isosceles triangle have lengths of 3 and 10, then:

Either 1)  Two sides have length 10 and the third side has length 3.  This is certainly possible

or

2)  sides have length 3 and the third side has length 10.  This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.

The third length is 10 units and the pair of the side lengths is 3, 10, 10.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Two sides of an isosceles triangle have lengths of 3 and 10

As we know, in the isosceles triangle two sides are equal in length.

10, 3, 3 is not possible they cannot form a triangle.

So the third length is 10 units.

Thus, the third length is 10 units and the pair of the side lengths is 3, 10, 10.

Learn more about the triangle here:

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the equation for your answer is y=mx+b

Answer:

[tex]y=-\frac{1}{4} x-6[/tex]

Step-by-step explanation:

Slope-Intercept Form

[tex]y=mx+b[/tex]

y: range

m: slope

x: domain

b: y-intercept

We can see that the line intersects at [tex](0,-6)[/tex], which is the y-intercept. We now have:

[tex]y=mx-6[/tex]

To find the slope, we need to start at the y-intercept. We need to find another nice point we can use. There is a nice point at [tex](4,-7)[/tex]. Start at the y-intercept, go down one unit, and go right four units. By doing that, you just found your slope.

[tex]y=-\frac{1}{4} x-6[/tex]

We know it is negative because as the x values become greater, the y values become less.

Answer:

A  cos C = 12/13

Step-by-step explanation:

cos theta = adjacent side/ hypotenuse

cos C = BC/AC

But we don't know BC, but we can find it using the Pythagorean theorem

a^2 +b^2 = c^2

5^2 +BC^2 = 13^2

25 + BC ^2 =169

Subtract 25 from each side

BC^2 = 169-25

BC ^2 = 144

Taking the square root of each side

BC =12

cos C = 12/13

Answer:

The domain of the relation is [tex][(5,16,18,21][/tex]

Step-by-step explanation:

we have

[tex][(15,65),(21,70),(18,73),(16,62)][/tex]

Remember that

The domain of the relation are the values of x

The range of the relation are the values of y

therefore

The domain is

[tex][(5,21,18,16][/tex]

order them from lowest to highest ------->  [tex][(5,16,18,21][/tex]

The range is

[tex][65,70,73,62][/tex]

order them from lowest to highest ------->[tex][62,65,70,73][/tex]

Answer:

C =131.88 cm

Step-by-step explanation:

We can find the circumference of a circle by using

C = pi * diameter

C = 3.14 * 42

C =131.88 cm

Answer:

Step-by-step explanation:

Well,

Here we go:

Circumference of circle or the tire = 2πr = 2 × 3.14 × [tex]\frac{42}{2}[/tex]

                                                                   = 131.88 cm²

Answer:

12km

Step-by-step explanation:

this really is actually kind of simple so it takes shawn 6 hours to get there at a speed of 2 kilometer per hour so you take the time and you X it by the speed therefor 6 X 2 = 12 and that would be your answer

Answer:

The distance would be 12 kilometers.

Step-by-step explanation:

Since,

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]\implies Distance = Speed\times time[/tex]

Here,

Speed of Shawn = 2 kilometers per hour,

Time taken by him = 6 hours,

Hence, the distance between Shawn's house and Susan's house

= 2 × 6

= 12 kilometers.

Answer:

x=-9

Step-by-step explanation:

B is unnecessary here, so we can ignore it. The first thing we do in this equation is simplify by adding like terms. 5a-10a=-5a. So, the equation is now -5a=45. To solve a, we need it by itself. To do that, we undo the multiplication by diving both sides of the equation by -5. 45 divided by -5 is -9, and then we have x=-9.

Answer:

It is 1/4!

Step-by-step explanation:

Because if you 4 1/4 will equal 1 now do that until you reach 16 then add two 1/4 then you will get you answer.

Please mark me as Brainiest.

And please let me know if you got it correct im curious.

Thank You!:)

Glad to Help!

BTW sorry if you did not understant my explanation.

Answer:   4

Step-by-step explanation:

[tex]16^{\frac{1}{2}}=\sqrt{16}=\sqrt{4\cdot 4}=\boxed{4}[/tex]

Answer:

Step-by-step explanation:

Geometric transformations involve taking a preimage and transforming it in some way to produce an image. There are two different categories of transformations:

The rigid transformation, which does not change the shape or size of the preimage.

The non-rigid transformation, which will change the size but not the shape of the preimage.

keep in mind that there's 4 types of transformants!!!

While the term 'transformants' is unclear in geometry, related concepts include various geometric transformations like conformal transformations, contact-transformations, and orthogonal transformations, which alter geometric entities while preserving specific properties such as angles or lengths.

The term transformants in geometry does not have a standard definition and appears to be a typographical error or a confusion with transformations, which are well-defined in geometric contexts. However, based on the provided information, we can discuss various types of geometric transformations that are relevant to the discussion at hand. These transformations include conformal transformations, which preserve angles; contact-transformations introduced by Sophus Lie that deal with the transformation of geometric entities; and orthogonal transformations, which preserve lengths and angles.

Answer:

They are adjacent because they are not paralel

Step-by-step explanation:

Answer:

equal

Step-by-step explanation:

you can convert 60 into 5 feet

Answer:

No. They are equal to each other.

Step-by-step explanation:

12 inches = 1 foot

5 feet = 12 * 5 = 60 inches

5 feet = 60 inches

Answer:

[tex]y=x^2[/tex]

Step-by-step explanation:

The given relation is

D={(x,y):(3,9),(5,25),(-2,4)}

We can see that;

[tex]3\to 3^2=9[/tex]

[tex]5\to 5^2=25[/tex]

[tex]-2\to (-2)^2=4[/tex]

Hence in general,

[tex]x\to x^2[/tex]

Therefore the equation for the relation is;

[tex]y=x^2[/tex]

Answer:

Greater than 5 and less than 6

Step-by-step explanation:

To find the square root of 34, find the closest perfect squares to it.

The closest perfect squares are 25 and 36

The square root of 25 is 5

The square root of 36 is 6

Therefore, the square root of 34 is greater than 5, and ess than 6.

(It's in between 5 & 6).

Answer: HOPE THIS HELPS! :D    ;D

On average, A New Leash on Life Animal Clinic treats MORE DOGS PER DAY than No Ruff Stuff Animal Hospital.

Step-by-step explanation:

So the first option would be correct.

The average number of dogs that should be treated should refer to the first option.

Since the average number of dogs should be treated so here the new leash on life animal clinic should be treated more dogs per day as compared to no ruff stuff animal hospital. Therefore, the other options are incorrect.

Learn more about the dogs here: https://brainly.com/question/13305782

Answer:

Step-by-step explanation:

Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 = 8 1/ 6  = 8 · 6 + 1/ 6 = 48 + 1/ = 49/6 To find a new numerator: a) Multiply the whole number 8 by the denominator 6. Whole number 8 equally 8 * 6/6 = 48/6

b) Add the answer from the previous step 48 to the numerator 1. New numerator is 48 + 1 = 49

c) Write a previous answer (new numerator 49) over the denominator 6.

Eight and one sixth is forty-nine sixths

Conversion a mixed number 1 7/8 to a improper fraction: 1 7/8 = 1 7/8  = 1 · 8 + 7/8  = 8 + 7/8= 15/8 To find a new numerator:

a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/8 = 8/8 b) Add the answer from previous step 8 to the numerator 7. New numerator is 8 + 7 = 15

c) Write a previous answer (new numerator 15) over the denominator 8. One and seven eighths is fifteen eighthsDivide: 49/6: 15/8= 49/6· 8/15 = 49·\.8/6 · 15 = 392/90= 2 · 196/=2 · 45= 196/45 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 15/8 is 8/15) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 196/ 45. In other words - forty-nine sixths divided by fifteen eighths = one hundred ninety-six forty-fifths.

Answer:

The answer is D.

Step-by-step explanation:

If you look at the tables, you notice that in table D the distance reaches 50 km as the time reaches 1 hour.

The table that represents the situation is the table d

From the question, we have the following parameters that can be used in our computation:

Rate = 50km/h

The table that shows that the bird travels 50 km each hour will be a table where the distance is directly proportional to the time

The slope of the line is 50, which means that for every hour that the bird flies, it travels an additional 50 kilometers.

Using the above as a guide, we have the following:

The table is table d

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By applying the Pythagorean theorem, it's determined that a triangle with side lengths of 14, 48, and 50 units is a right-angled triangle, as the sum of the squares of the two shorter sides equals the square of the longest side.

To determine the type of triangle with side lengths of 14, 48, and 50 units, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

This can be represented by the equation c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

In this case, if we consider 50 as the potential hypotenuse (c), and 14 and 48 as the other two sides (a and b), we plug these values into the equation to check: 50² = 14² + 48².

Calculating each side of the equation gives us 2500 = 196 + 2304, which simplifies to 2500 = 2500.

Since both sides of the equation are equal, this confirms that the triangle is indeed a right-angled triangle.

Answer:

The answer is A) Yes, 56 sq. ft

Step-by-step explanation:

You will have to waste 56 sq. ft . The total area of the carpet = 40 x 12=480 sq ft - the area of the room (26 x 12) + (8 x 14) = 424 sq ft.

Using the area of rectangle formula to solve the problem. Then the waste of carpet is 56 ft².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

you use 40 linear feet of 12-foot wide carpet to carpet this room.

The room is 26 by 12 and 8 by 14.

The waste carpet after the installation.

We know the area of the formula

Area = Length x width

The area of the carpet will be

area of the carpet = 40 x 12

area of the carpet = 480

The area of the room will be

area of the room = (26 x 12) + (8 x 14)

area of the room = 312 + 112

area of the room = 424

So the waste of carpet will be

waste of carpet = area of carpet -the area of the room

waste of carpet = 480 - 424

waste of carpet = 56

Thus, the waste of carpet is 56 ft².

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

448 R50

Step-by-step explanation:

Answer: 448

All you need to do is plug that into a calculator and you’ll get the answer

Answer:

option B

0.30

Step-by-step explanation:

Given in the question,

probability that a student is a high school junior = P(A) = 0.47

probability that a student is high school junior and owns car = P(A∩B) = 0.14

It is question of conditional probability

Formula to use

Probability = P (A∩B) / P (A)

                  = 0.14 / 0.47

                  = 0.297

                  ≈ 0.30

Answer:

0.30

P(A|B) =

P(A and B)

P(B)

=

0.14

0.47

= 0.29787

Step-by-step explanation:

(65+(1/5•5)+6)÷9

=(71+1)÷9

=72÷9

=8

The expression (65+(1/5\u00b75)+6) divided by 9 simplifies to 72 divided by 9, which equals 8.

To evaluate the expression (65+(1/5\u00b75)+6) divided by 9, we need to follow the order of operations, sometimes known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, we solve the operation inside the parentheses:

Now, we divide the result by 9:

The final answer is 8.

Answer:

5 feet tall!

Step-by-step explanation: Just divide 1,250 by 250 and that is your height

Answer:

Her model will be 5 foot

Step-by-step explanation:

1 foot = 250 feet

250x5=1,250

Answer:

D

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0, then the discriminant is

Δ = b² - 4ac

x² + 3x - 4 = 0 ← is in standard form

with a = 1, b = 3, c = - 4

b² - 4ac = 3² - (4 × 1 × - 4) = 9 - (- 16) = 9 + 16 = 25 → D