Please answer this correctly

Corrected Question

Suppose that y and z are points on a number line if yz equals 16 and y lies at -4. Where could z be located?

Answer:

z would be located at -4.

Step-by-step explanation:

If the product of y and z, yz=16

Point y lies at -4.

Substituting y=-4 into yz=16, we obtain:

\(-4z=16\)

Divide both sides by -4

\(z=-4\)

Therefore, z would be located at -4, which is the same point at which y is located.

y and z are the same points on the number line.

We know our result is correct because the product of two negative numbers is positive.

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

11.5

Step-by-step explanation:

x=8 & y=23

then

x=4 is half so you divide by 2

so half of 23 would be 11.5. If you are rounding then it would be 12

Answer:

x=3

Step-by-step explanation:

5x - 2 = 3x +4

=> 5x - 3x = 4 + 2

=> 2x = 6

=> x = 6/2 = 3

Answer:

x ≤ 2

Step-by-step explanation:

Answer:

2.75

Step-by-step explanation:

The amplitude is half of the difference between the highest and lowest y-coordinates.

amplitude = 0.5|6.75 - 1.25| = 0.5(5.5) = 2.75

Answer:

the answer is 6 for 5+1

Step-by-step explanation:

thanks :)

Answer:

A. Daniel

B. 2.73 miles

Step-by-step explanation:

A. Determination of who travelled further.

For Wendy:

Time = 3.9 hours

Average speed = 68.3 miles

Total distance travelled =?

Average speed = Total distance / time

68.3 = Total distance / 3.9

Cross multiply

Total distance = 68.3 × 3.9

Total distance = 266.37 miles

For Daniel:

Time = 4.5 hours

Average speed = 59.8 miles

Total distance travelled =?

Average speed = Total distance / time

59.8 = Total distance / 4.5

Cross multiply

Total distance = 59.8 × 4.5

Total distance = 269.1 miles

SUMMARY:

Name >>>>>>>>>> Distance travelled

Wendy >>>>>>>>> 266.37 miles

Daniel >>>>>>>>> 269.1 miles

From the above illustration, we can see that Daniel travelled farther than Wendy.

B. Determination of how much farther Daniel travelled than Wendy.

Name >>>>>>>>>> Distance travelled

Wendy >>>>>>>>> 266.37 miles

Daniel >>>>>>>>> 269.1 miles

Difference = Daniel – Wendy

Difference = 269.1 – 266.37

Difference = 2.73 miles

Thus, Daniel travelled 2.73 miles farther than Wendy.

Answer:

36

Step-by-step explanation:

200×3×6/100 =36.is the ans

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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Answer:

12,800 Dollars USD

Step-by-step explanation:

Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

0.99853...

Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.

Answer:

See explanation

Step-by-step explanation:

First, we have to put the expressions into numbers. For the square root of 101, it doesn't divide evenly into any whole number. We do know that 10^2 is 100, and 11^2 is 121. That means the square root of 101 is between 10 and 11. Pi is equal to 3.14, so we just multiply 10 by 3.14. If we do this, we get 31.4. From here we can rank the numbers in order from greatest to smallest.

31.4 (10pi) is greater than

The square root of 101 which is greater than

9.92749... which is greater than

0.99853...

Hope this helps!

See the attached truth tables.

• A ∧ B is true only when both A and B are true

• A ⇒ B is true only when both A and B are true, or A is false. This logically equivalent to ¬A ∨ B

• ¬A is true only when A is false

• A ⇔ B is true only when both A ⇒ B and B ⇒ A are true. Equivalently, (¬A ∨ B) ∧ (¬B ∨ A)

Answer:

71

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

it says to use tiles so u subtract it

so,39-32=7

Answer:

= 0.1 miles per minute

Step-by-step explanation:

= 1.5 miles / 15 min.

= 0.1 miles per minute

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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Answer:

No

Step-by-step explanation:

To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.

Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values.  Still need to check if each x-value has a unique corresponding y-value.

Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).

Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.

Answer:

Choice B: x = 3

Step-by-step explanation:

The standard equation of a parabola is
\(4p\left(x-h\right)=\left(y-k\right)^2\)

where

(h, k) is the vertex and |p| is the focal length

The given equation is
\((y - 3)^2 = 8(x - 5)\)

Convert this to standard form and compare with general equation

Answer: Choice B: x = 3

The length of the shadow was 6 ft .

In the question ,

it is given that

Jane noticed shadow of 20 ft flagpole is 30 ft long .

the ratio of flagpole / shadow = 20 / 30

in simplified form the ratio is 2/3 .

this ratio will also be same for the mail box and its shadow .

given the height of the mail box = 4 ft

let the shadow of the mailbox be "x" .

So , according to the question .

(height of mail box) / ( shadow of mailbox ) = 2/3

on substituting the value of height and shadow ,

we get

4/x = 2/3

On cross multiplication ,

we get

4*3 = 2*x

2x = 12

x = 12/2

x = 6

Therefore , the shadow was 6 ft long .

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By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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The compound interest rate of the investment is 1.10%

The given parameters about the compound interest are

Principal, P = $11,000

Amount, A = $20,000

Time, t = 9

Number of times, n = 12 i.e. monthly interest

To calculate the amount, we have:

A = P(1 + R/n)^nt

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

20000 = 11000 * (1 + r/12)^(12 * 9)

This gives

1.82 = (1 + r/12)^108

Take the 108th root of both sides

1 + r/2 = 1.0055

Subtract 1 from both sides

r/2 = 0.0055

Multiply by 2

r = 0.011

Express as percentage

r = 1.10%

Hence, the value of the interest rate is 1.10%

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Answer:

6.66%

Step-by-step explanation:

Compounded Monthly:

�

=

�

(

1

+

�

�

)

�

�

A=P(1+

n

r

​

)

nt

Compound interest formula

�

=

20000

�

=

11000

�

=

9

�

=

12

A=20000P=11000t=9n=12

Given values

20000

=

20000=

11000

(

1

+

�

12

)

12

(

9

)

11000(1+

12

r

​

)

12(9)

Plug in values

20000

=

20000=

11000

(

1

+

�

12

)

108

11000(1+

12

r

​

)

108

Multiply

20000

11000

=

11000

20000

​

=

11000

(

1

+

�

12

)

108

11000

11000

11000(1+

12

r

​

)

108

​

Divide by 11000

1.8181818

=

1.8181818=

(

1

+

�

12

)

108

(1+

12

r

​

)

108

(

1.8181818

)

1

/

108

=

(1.8181818)

1/108

=

[

(

1

+

�

12

)

108

]

1

/

108

[(1+

12

r

​

)

108

]

1/108

Raise both sides to 1/108 power

1.0055509

=

1.0055509=

1

+

�

12

1+

12

r

​

−

1

−1=

−

1

−1

Subtract 1

0.0055509

=

0.0055509=

�

12

12

r

​

12

(

0.0055509

)

=

12(0.0055509)=

(

�

12

)

12

(

12

r

​

)12

Multiply by 12

0.0666108

=

0.0666108=

�

r

6.66108

%

=

6.66108%=

�

r

Convert to percent (multiply by 100)

�

≈

r≈

6.66

%

6.66%

Round to the nearest hundredth of a percent

Required system of inequalities to represent this situation:

\(15x+10y\geq90\)

\(x+y\leq20\)

Given:

Opal makes $15 per hour working for a photographer.

She also coaches a competitive soccer team for $10 per hour.

Defining variables

Let x = Number of hours she works as a photographer, y= Number of hours she works as coach.

Explanation

As she needs to earn at least $90 per week i.e. \(15x+10y\geq90\)

but she does not want to work more than 20 hours per week.

i.e. \(x+y\leq20\)

Required system of inequalities to represent this situation:

\(15x+10y\geq90\)

\(x+y\leq20\)

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Thus, the probability of selecting 2 males from the total 19 students are : 78/171 .

The ratio between the number of favourable outcomes for an event and all conceivable outcomes of that particular event is known as the probability of that event occurring, and it serves as a gauge of how likely an event is to occur.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of a selection is irrelevant. You can choose the components of combos in any order.

Number of ways for selecting 2 males from total 13 males:

13C2 = 13! / (11! * 2!)

13C2 = 78

Number of ways to selecting 2 students randomly:

19C2 = 19! / (17! * 2!)

19C2 = 171

Probability (picking 2 males) = 13C2 /  19C2

 = 78/171

Thus, the probability of selecting 2 males from the total 19 students are : 78/171.

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The   length of the model is 2 feet

The model is  the actual size. This means that for every 6 feet measured on the actual car, the model will span 1 foot.

Note that the model length is in the numerator and the actual length is in the denominator.

Thus, if the car is 12 feet long and L represents the length of the model, then write the ratio as .

Set the two ratios equal to each other to obtain the proportion below.

The length of the model is given as 2 feet

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The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Using an algebraic equation to represent the word problem, the smallest integer is 1

This is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.

Let the integers be represented as

We can write an equation from the word problem given as

7 × (x + 2) = 15 + [x + (x + 4)]

7x + 14 = 15 + x + x + 4

7x + 14 = 15 + 2x + 4

collect like terms

7x - 2x = 15 - 14 + 4

5x = 5

Divide both sides by coefficient of x

5x / 5  = 5 / 5

x = 1

The smallest integer is 1

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Translation:

Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers