Distributive Property step by step 3x(x-1) tHxs

The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B

(5/8)^-1 × (0.42)^2

= {1 ÷ (5/8)¹} × 0.42²

= {1 × (8/5)¹} × 0.42²

= (8/5)¹ × 0.42²

Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

Learn more about exponential:

https://brainly.com/question/27161222

#SPJ1

Answer:

(1.6) (0.42)^2 C

Step-by-step explanation:

I had originally put B, but my teacher explained and said its C.

the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C

Answer: the triangles are congruent

Step-by-step explanation: if u add up all the angles u get 180 so all angles are congruent

Answer:

c.

Step-by-step explanation:

4/3 pi r²

4/3 × 3.142 or 22/7 × 3.5²

Answer:

x = 4

Step-by-step explanation:

2(4x + 3) = 10x - 2

2 × 4x + 2 × 3 = 10x - 2

8x + 6 = 10x - 2

8x - 10x = - 6 - 2

- 2x = - 8

2x = 8

x = 8/2

x = 4

-TheUnknownScientist

Answer:

x= 4

Step-by-step explanation:

we open brackets first

2(4x + 3) = 10x - 2

8x+6=10x-2

transpose

6+2= 10x-8x

8= 2x

x= 8/2

x= 4

Answer:

A < C < B = 0.2 < 0.222 < 0.25

Step-by-step explanation:

the best way to do these least to greatest questions is to get them all in the same units so you can compare.

A = \(\sqrt{\frac{1}{25} }\)which is \(\sqrt{0.04}\) = 0.2

B= 1/4 = 0.25

c=0.22222222.....

now that they are in the same units we see A is the smallest, then C, and then B

Answer:

9.42

Step-by-step explanation:

To determine which statements are true, we can first rewrite the given equation into standard form by completing the square:

x2 + y2 – 2x – 8 = 0

(x2 - 2x) + y2 - 8 = 0

(x - 1)2 + y2 = 9

From this, we can see that the center of the circle is at the point (1, 0), which lies on the x-axis. Therefore, the statement "The center of the circle lies on the x-axis" is true, but "The center of the circle lies on the y-axis" is false.

The radius of the circle is sqrt(9) = 3 units, so the statement "The radius of the circle is 3 units" is true. Additionally, we can see that the standard form of the equation is (x – 1)² + y² = 3, so the statement "The standard form of the equation is (x – 1)² + y² = 3" is also true.

Finally, the statement "The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9" is true, since both circles have a radius of 3 units. Therefore, the three true statements are:

The radius of the circle is 3 units.

The center of the circle lies on the x-axis.

The standard form of the equation is (x – 1)² + y² = 3.

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

To know more about simple interest, visit:

https://brainly.com/question/3942189

#SPJ1

Answer:

1 : 5

Step-by-step explanation:

→ Convert 1km into metres

1000

→ Put in ratio format

200 : 1000

→ Simplify

1 : 5

The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

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

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

To learn more about equation click on,

https://brainly.com/question/29255626

#SPJ1

Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

Learn more about the tangent line:

https://brainly.com/question/30162650

#SPJ1

Answer:

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:

C = π(14 cm)

Multiplying, we get:

C = 14π cm

So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.

Answer:

0.66666666666

Step-by-step explanation:

this is a real answer

Answer: the answer is 54

Step-by-step explanation: The error in the expression was that it was multiplied by 1 so it can't be one unless it was also 1 and it's not it is 54.

Answer:

k = 11

Step-by-step explanation:

Expand brackets

2k - 10 = 12

add 10 on both sides

2k = 22

divide both sides by 2

k = 11

Answer:

D. 12%

Step-by-step explanation:

64-56.32= 7.68

(7.68÷64)×100= 12%

hope this helps! please mark me brainliest..

have a good day ahead

Answer:

D. 12%

Step-by-step explanation:

1. Find the amount of money Caroline saved

Original - spent

Subsitute in the given values,

64 - 56.32 = 7.68

2. Set up a proportion

A proportion is

\(\frac{part}{whole} = \frac{percent}{100}\)

Substitute in the values;

\(\frac{7.68}{64}=\frac{percent}{100}\)

Cross products;

(7.68)(100) = (64)(percent)

768 = 64 * percent

Inverse operations;

768 = 64 percent

/64      /64

12 = percent

Caroline had a 12% discount.

Answer:

20 for both

Step-by-step explanation:

hope this helps

The amount of mango juice you need is 8 litres

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

Orange juice = 3 parts

Mango juice = 6 parts

When these parameters are represented as ratio, we have the following expression

Ratio = Orange : Mango

This is then represented as

Orange : Mango = 3 : 6

When the litres of orange juice is 4, we have

4: Mango = 3 : 6

Express as fraction

Mango/4 = 6/3

Multiply through by 4

Mango = 4 * 6/3

Evaluate

Mango = 8

Hence, the mango juice is 8 litres

Read more about ratio at

https://brainly.com/question/1781657

#SPJ1

Answer:

Step-by-step explanation:

1. Put the words into math

3  3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8

3 1/4/2 3/8=

1 7/19

2. Answer: 1 7/19

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

To know more about vertices, visit:
https://brainly.com/question/24877689
#SPJ1

The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

Learn more about area here : brainly.com/question/2607596

#SPJ1

Answer:

C. \(F(x) = -x^2 - 3\)

Step-by-step explanation:

The function, F(x), has flipped over the x-axis (as seen) meaning that the function has to have a negative sign in front. The function has also shifted downwards 3 units, meaning that 3 has to have been subtracted from the function.

This makes "C," the correct answer, as it fulfills these requirements.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

for more search question point  

https://brainly.com/question/28162977

#SPJ8

Answer:Note:  This symbol ≈ means approximately.

629 ≈ 600

215 ≈ 200

111 ≈ 100

588 ≈ 600

Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.

Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS

Solution

x=-2 , y = 8

x=-1, y= 4

x=0, y=0

x= 1, y= -4

x= 2, y=-8

Step-by-step explanation:

The greatest common factor (GCF) is the largest common factor that the numbers share. Here, 8 is the largest common factor of 16 and 24. So the GCF of 16 and 24 is 8.

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

for such more question on distance

https://brainly.com/question/7243416

#SPJ8

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

To learn more about congurency refer here

https://brainly.com/question/1675117

#SPJ1