How do I solve 1.5 to the -2 power or 1.5^-2

Answer:

false 15 is a positive number

Answer:

9x + 10 = 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Equation

5 + 2x + 5 + 7x = 3

Step 2: Simplify

Answer:

9x+10=3

Explantion

(2x+7x)+(5+5)=3

= 9x+10=3

Answer:

They both will meet each other when they both have been running for 10 seconds

Lauren will run [tex]x=80\ \text{ft}[/tex] and Clara will run [tex]40\ \text{ft}[/tex]

Step-by-step explanation:

Velocity of Lauren

[tex]v_l=\dfrac{24}{3}\\\Rightarrow v_l=8\ \text{ft/s}[/tex]

Velocity of Clara

[tex]v_c=\dfrac{20}{5}\\\Rightarrow v_c=4\ \text{ft/s}[/tex]

Let distance traveled by Lauren be [tex]x[/tex]

As Clara has a 40 feet head start distance she will travel is [tex]x-40[/tex]

[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

The time that will have passed when they both will meet will be the same for both of them so

[tex]\dfrac{x-40}{4}=\dfrac{x}{8}\\\Rightarrow 8x-320=4x\\\Rightarrow 8x-4x=320\\\Rightarrow 4x=320\\\Rightarrow x=\dfrac{320}{4}\\\Rightarrow x=80\ \text{ft}[/tex]

Time they will meet is [tex]\dfrac{80-40}{4}=\dfrac{80}{8}=10\ \text{s}[/tex].

So, Lauren will run [tex]x=80\ \text{ft}[/tex] and Clara will run [tex]x-40=80-40=40\ \text{ft}[/tex].

[tex] \Large{\boxed{\sf n = 8}} [/tex]

[tex] \\ [/tex]

The perimeter of a rectangle is given by the following formula:

[tex] \Large{\sf P = 2L + 2W } [/tex]

Where:

[tex] \\ [/tex]

[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf L &=\sf 3n - 9 \\ \sf W &=\sf n + 5 \\ \end{cases} } [/tex]

[tex] \\ [/tex]

Substitute these values into our formula:

[tex] \sf P = 2(3n - 9) + 2(n + 5) [/tex]

[tex] \\ [/tex]

Expand the expression of the perimeter using the following distributive property.

[tex]\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf\boxed{ \sf Distributive \: property \text{ : } }} \\ \\ \sf\star \: \red{ \large{ a (b + c) = ab + ac }} \end{array}}\\\end{gathered} \end{gathered}}[/tex]

[tex] \\ [/tex]

We get:

[tex] \sf P = 2(3n) + 2(-9) + 2n + 2(5) \\ \\ \sf P = 6n - 18 + 2n + 10 \\ \\ \boxed{\sf P = 8n - 8 } [/tex]

[tex] \\ [/tex]

Since the perimeter is equal to 56, the value of n satisfies the following equality:

[tex] \sf 8n - 8 = 56 [/tex]

[tex] \\ [/tex]

To solve this equation, let's add 8 to both sides:

[tex] \sf 8n - 8 + 8 = 56 + 8 \\ \\ \sf 8n = 64 [/tex]

[tex] \\ [/tex]

Now, divide both sides of the equation by 8:

[tex] \sf \dfrac{8n}{8} = \dfrac{64}{8} \\ \\ \\ \boxed{\boxed{\sf n = 8}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here:

↣https://brainly.com/question/27597890

Answer:

DF=22.57

DG=26

Step-by-step explanation:

sinF/DG=sinD/FG

sin75/DG=sin48/20

DG*sin48/sin48=20*sin75/sin48

DG=26

D^+F^+G=180(sum of int. angles of triangle)

G^=180-48-75

G^=57

sinG/DF=sinD/FG

sin57/DF=sin48/20

DF*sin48/sin48=20*sin57/sin48

DF=22.57

The value of DF and DG is 22.57 units and 25.9956 units respectively.

Given to us,

∠D = 48°,

∠F = 75°,

FG = 20,

According to sine rule, in a triangle the length of a side of the triangle and the angle opposite to it is always in ratio. therefore,

[tex]\dfrac{A}{sin\alpha}= \dfrac{B}{sin \beta}= \dfrac{C}{sin\gamma}[/tex]

So,

[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{GD}{sin(F)}[/tex],

For ∠G,

∠D + ∠F + ∠G = 180°,

48° + 75° + ∠G = 180°,

∠G = 180° - ( 48° +75°),

∠G = 57°,

Now using the sine rule,

[tex]\dfrac{DF}{sin (G)}= \dfrac{FG}{sin (D)}= \dfrac{DG}{sin(F)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\\\\dfrac{DF}{sin (57)}= \dfrac{20}{sin (48)}\\\\DF = 22.57\ units\\\\\\ \dfrac{20}{sin (48)}= \dfrac{DG}{sin(75)}\\\\DG = 25.9956\ units[/tex]

Hence, the value of DF and DG is 22.57 units and 25.9956 units respectively.

To know more visit:

https://brainly.com/question/18055768

Answer:

At 4 meters, the potential energy is 800 Joules

At 3 meters, the potential energy is 600 Joules

At 2 meters, the potential energy is 400 Joules

At 1 meter, the potential energy is 200 Joules

Step-by-step explanation:

The given mass of the object = 20 kg

The Potential Energy of an object at a height is. P.E. = m × g × h

Where;

m = The mass of the object

g = The acceleration due to gravity taken as 10 m/s²

h = The height of the object

The potential energy if the height is 4 meters is given as follows;

P.E. = 20 kg × 10 m/s² × 4 m = 800 Joules

The potential energy if the height is 3 meters is given as follows;

P.E. = 20 kg × 10 m/s² × 3 m = 600 Joules

The potential energy if the height is 2 meters is given as follows;

P.E. = 20 kg × 10 m/s² × 2 m = 400 Joules

The potential energy if the height is 1 meter is given as follows;

P.E. = 20 kg × 10 m/s² × 1 m = 200 Joules.

Answer:

Step-by-step explanation:

(3y - 2z) 5.

so

3ytimes 5 = 15y (can multiply variable number with non variable number in this case)

and -2z times 5 =-10z

=

15y-10z

The expression  (3y - 2z) 5 can be written, by using the Distributive Property as 15y - 10z.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

Given expression:

(3y - 2z) 5,

The above expression can be written by using Distributive Property as,

[tex]A (B + C) = AB + AC[/tex]

(3y - 2z) 5 = 3y × 5 - 2z × 5

(3y - 2z) 5 = 15y - 10z

Therefore, the expression  (3y - 2z) 5 can be written, by using the Distributive Property as 15y - 10z.

To know more about Distributive Property:

https://brainly.com/question/6276874

#SPJ2

Answer: 25 red marbles

Step-by-step explanation:

Fraction of yellow marbles = 1/3

Fraction of blue marbles = 1/4

Fraction of red marbles = 1 - (1/3 + 1/4) = 5/12

Therefore, the number of red marbles that are there in the bowl would be:

= 5/12 × 60

= 25 red marbles

Answer:

(f o g)(4) = -2

(f o f)(3) = -1

(g o f)(-1) = 2

Step-by-step explanation:

(f o g) (4)

f(g(4))

f (0)

-2

(f o f)(3)

f(f(3))

f(1)

-1

(g o f)(-1)

g(f(-1))

g(-3)

2

Given: U.S Flag - rectangle in shape

scale of 0.5 cm = 1 in

length of the scale 2.5 cm

width of the scale 4.75 cm

perimeter of the scale = 2(L+W) = 2(2.5+4.75) =

2(7.25) = 14.5cm

perimeter of the actual flag is:

14.5cm * 1in/0.5cm = 29 inches

hope it helps!

Step-by-step explanation:

Perimeter of scale drawing

= 2 * (Length + Width)

= 2 * (2.5cm + 4.75cm)

= 2 * 7.25cm

= 14.5cm. (C)

Scale length to Actual length = 0.5cm : 1 in

Hence,

Perimeter of actual drawing

=> (1/0.5) * Perimeter of scale drawing

=> (1/0.5) * 14.5cm

=> 29 in. (B)

Answer:

jacky 12 809 n-t

Step-by-step explanation:

Answer:

he said it not me

Answer:

20%?

Step-by-step explanation:

9514 1404 393

Answer:

  d.

Step-by-step explanation:

The triangle is a right triangle. Statements a-c are true.

There is no necessary relationship between angles F and G. Statement d is false.

Answer:

angle CPB is your right answer

Answer:

1st option and last option

Answer:

Step-by-step explanation:

since the question does not have a given slope you can just put the point into the point slope formula   y-y1 = m(x-x1)  

y-5 = m(x-(-2))

y-5 = m(x+2)

since the slope is not given, leave it like that

Answer:

what does it equal ?? x???

Step-by-step explanation:

Step-by-step explanation:

[tex] {7}^{ - 3} \times {7}^{ - 5} \times 7 {}^{ - 1} [/tex]

[tex] \frac{1}{7 {}^{3} } \times \frac{1}{ {7}^{5} } \times \frac{1}{7 } \\ \frac{1}{ {7}^{3 + 5 + 1 } } \\ \frac{1}{ {7}^{9} } \\ [/tex]

Step-by-step explanation:

[tex] = {7}^{ - 3} \times {7}^{ - 5} \times {7}^{ - 1} [/tex]

[tex] = {7}^{( - 3 - 5 - 1)} [/tex]

[tex] = {7}^{ - 9} [/tex]

[tex] = \frac{1}{ {7}^{9} } [/tex]

Answer:

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

Step-by-step explanation:

In any set of ordered pairs,

Let us solve the question

∵ The set of ordered pairs is {(-6, 5), (-3, 2), (-1, 0), (5, -4)}

∵ The first number in each ordered pair represents x

∴ x = -6, -3, -1, 5

∵ The set of x is the domain of the function

∴ The domain of the set of ordered pairs = {-6, -3, -1, 5}

∵ The second number in each ordered pair represents y

∴ y = 5, 2, 0, -4

∵ The set of y is the range of the function

∴ The range of the set of ordered pairs = {5, 2, 0, -4}

The domain and the range of the function represented by the set of ordered pairs are {-6, -3, -1, 5} and {5, 2, 0, -4}

Answer:

Domain: {-6,-3,-1,5}

Range: {-4,0,2,5}

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

If a point is dilated by a scale factor of 'k' about the origin,

Rule for the dilation,

(x, y) → (kx, ky)

By this rule, if ΔABC is dilated to form image triangle as ΔA'B'C',

A(-2, -2) → A'[2×(-2), 2×(-2)]

B(-1, 2) → B'[2×(-1), 2×(2)]

C(2, 1) → C'[2×(2), 2×(1)]

Therefore, scale factor of the dilation of the dilation will be k = 2

Option (C) will be the answer.

Answer:

9.9

Step-by-step explanation:i odn't have an explanation but try it i know it is right

Using the formula, it is found that the distance between the two points (−7, 1) and (0, −6) is of 9.9 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are (−7, 1) and (0, −6), hence:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]D = \sqrt{(0 - (-7))^2+(-6-1)^2}[/tex]

[tex]D = \sqrt{98}[/tex]

D = 9.9.

More can be learned about the distance between the two points at https://brainly.com/question/18345417

#SPJ2

Answer:

30 minutes

Step-by-step explanation:

Option A.30 minutes.

The change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day is 30 minutes.

Step-by-step

The computation of the change in the amount of time is shown below = Number of consecutive ways * number of minutes more each day = 6 days ~ 5 minutes = 30 minutes

Hence, the change in the amount of time is 30 minutes Therefore the correct option is D.

We simply applied the above formula so that the correct value could come, and the same is to be considered(the answer is 30 ).

Learn more about consecutive days at

https://brainly.com/question/486976

#SPJ2

Answer:

Option A

Step-by-step explanation:

By using regression line calculator,

From the data given,

Equation of the line line of best fit will be,

y = -0.92744x + 13.63407

We have to calculate the equation with slope and y-intercept of the line to three decimal places.

Therefore, equation will be,

y = -0.927x + 13.634

Option (A) will be the correct option.

Answer:

6.9

Step-by-step explanation:

Answer:

6.90

Step-by-step explanation:

Given the Number: 6.87

6 = unit

8 = tenth

7 = hundredth

Hence, to the nearest tenth ; we round the hundredth value ; since the hundredth value (7) is greater than 5, then we round to 1 and add to the tenth placed digit (8)

Therefore,

6.87 = 6.90 (nearest tenth)

Answer:

6x + 6y -xy + x^y + xy^2

Step-by-step explanation:

[ xy (-x - y -1) ]  + 2  (xy + x + y)

-x^2y - xy^2 - xy + 2xy + 2x + 2y

2x + 2y + xy - x^y - xy^2

8x + 8y - (2x + 2y + xy - x^2y - xy^2)

8x + 8y - 2x - 2y -xy + x^y + xy^2

6x + 6y -xy + x^y + xy^2

.........................

Answer: 54 pounds

Step-by-step explanation:

1. Adressing the variables:

x=number of pounds of type A

y=number of pounds of type B

2. Equations:

x+y=147 pounds

5.15x+4.1y=659.40

3. Subsitution:

y=147-x =>5.15x+4.1(147-x)

4. Solve:

5.15x+602.7-4.1x=659.4

=> 1.05x=56.7 => x=54

5. Solution:

x=54; y=93

Answer:

2

Step-by-step explanation:

Answer:

1.6 hours / 1 hour 36 minutes

Step-by-step explanation:

105+95=200 miles

This is the distance that the trains could travel in an hour.

320÷200=1.6 hours

Our Answer is 1.6 hours / 1 hour 36 minutes

Answer:

XXX xxixbhxxhooh the I☺️☺️☺️☺️

Step-by-step explanation:

xxkxozozxoooyyppxoxoglhxlh b lb lkgxkxg♊☺️♊⚓⚾⚓⚾⚓⚾⚾⚓