Abdul drove four trips that totalled 426 km. The second trip was 4 less than double the first. The third trip was double the second and the fourth trip was 18 more than triple the first. How far was each trip? Please help!!!

Answer:

See below;

Step-by-step explanation:

21 . Consider an exponential function;

[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]

Solution; Provided Directly Above

Answer:

P = 10a +2b+12

Step-by-step explanation:

P = 2 (l+w) for a rectangle

P = 2 ( 4a+b + a+6)

Combine like terms

P = 2(5a+b+6)

Distribute

P = 10a +2b+12

Answer:

Given below

Hope it helps

Step-by-step explanation:

Perimeter= 2(l+b)

= 2(4a+b+a+6)

= 2(5a+b+6)

= 10a+2b+12 cm^2

Answer:

Largest: [tex]5.6*10^{-7}[/tex]

Middle: [tex]5.6*10^{-8}[/tex]

Smallest: [tex]8.6*10^{-9}[/tex]

Step-by-step explanation:

Largest: [tex]5.6*10^{-7}[/tex] because -7 is the largest of the 3.

Middle: [tex]5.6*10^{-8}[/tex] because -8 is smaller than -7 but greater than -9

Smallest: [tex]8.6*10^{-9}[/tex] because -9 is the smallest of the 3

Answer:

4(x-6)=45

Step-by-step explanation:

x is the number

so a number decreased by six

x-6

all multiplied by 4

4(x-6)

is 45

4(x-6)=45

Answer:

f ⁻¹ (-2)=3

f ⁻¹ (1)= 0

Step-by-step explanation:

inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0

Answer:

x = - 4

Step-by-step explanation:

Given

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

The denominator of y cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ⇒ x = - 4

Thus the vertical asymptote is x = - 4

Answer: 5

Step-by-step explanation:

For how many teachers are both p ∧ r true and q false?

(p ∧ r) ∧ (q')

q' = q complement (not in q)

p intersection r = (p ∧ r) = 9

both p ∧ r true and q false = (8+6) - 9

both p ∧ r true and q false = 14 - 9 = 5

OR

p + r - p ∧ r

8 + 6 - 9 = 14 - 9 = 5

Answer:

The answer is C (5) on Edge.

Step-by-step explanation:

Answer:  [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]

Step-by-step explanation:

90° ≤ θ ≤ 180° means that it is in Quadrant II →   x is + ,  y is -

[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]

Answer:

n =4

Step-by-step explanation:

6x^n• 4x^2=24x^6

Combine like terms

24 x^n *x^2 = 24 x^6

We know that a^b * a^c = a^(b+c)

24 x^(n +2) = 24 x^6

Divide each side by 24

x^(n +2) = x^6

The bases are the same so the exponents are the same

n+2 = 6

Subtract 2

n+2-2 = 6-2

n=4

Answer:

4

Step-by-step explanation:

just did it

Answer:

you didn't do anything wrong who ever said you did is stupid

The answer is attached.

Answer:

-8

Step-by-step explanation:

1+5=6

6-8=-2

4x-2=-8

Answer:

8

Step-by-step explanation:

Answer:

y= 1/2x + 2.5

Step-by-step explanation:

We already have the point-slope form of the line.

Convert into Slope Intercept form:

y-3=1/2(x-1)

[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]

Answer:

A and B. increasing heart rate and positive correlation

Step-by-step explanation:

The heart rate increases as they drink more cups of coffee and because the both sets of data are increasing in the same direction, it's positive correlation.

Hope my answer helps and isn't too short <3

Answer: B AND D

Step-by-step explanation:

Answer:

Final potential energy = 24 Joule

The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s

Step-by-step explanation:

Given:

Mass of object, m = 0.30 Kg

Height of object, h = 8 m

Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]

a) Formula for Potential Energy:

[tex]E_p =mgh[/tex]

Where m is the mass of object

g is acceleration due to gravity and

h is the height of object

Putting the values of m, g and h

[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]

b) Formula for initial and final velocity:

[tex]v^{2} =u^{2} +2gh[/tex]

where v is the final velocity

u is the initial velocity with which the object is thrown

g is acceleration due to gravity and

h is the height obtained by object

here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.

h = 8m

g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)

Putting the values to find 'u':

[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]

Answer:

C

Step-by-step explanation:

M = K

N = L

M + K + N + L = 360

Answer:

C

Step-by-step explanation:

Answer:

The equation of the circle is

(x + 4)^2 + (y-1)^2 = 162

Step-by-step explanation:

Here, we want to give the correct equation of the circle.

The center of the circle is (-4,1)

Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.

We use the distance formula to calculate this.

So the distance we want to calculate is the distance between;

(-4,1) and (5,-8)

using the distance formula, we have

d = √(x2-x1)^2 + (y2-y1)^2

Substituting these values, we have;

d = √(5 + 4)^2 + (-8-1)^2

d = √(9^2 + 9^2)

d = √(162)

d = 9 √2 units

The formula for the equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) are coordinates of the center which is (-4,1) in this question

The way of the circle is thus,

(x-(-4)^2 + (y-1)^2 = {9√(2)}^2

(x + 4)^2 + (y-1)^2 = 162

Answer:

The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone-shaped mound is 100 feet

Height of a cone-shaped mound is 60 feet

It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

r is radius of cone, r = 50 feet

So,

[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]

So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

Answer:

d. 192 m^2

Step-by-step explanation:

just multiply length and width

Answer:

the answer is ( 2 , 1 ) I hope thus helps

Answer:

(2,1)

Step-by-step explanation:

Average the x values and the y values out

Answer:

7

Step-by-step explanation:

as it does that F thing where its equal to it....

Answer:

I wont answer for you, but ill guide you in the right direction

Step-by-step explanation:

Answer:8m^2n - 32m^2 + 15n^2 - 18mn^2

Step-by-step explanation:

4m x 2mn = 8m^2n

4m x -8m = -32m^2

3n x 5n = 15n^2

3n x -6mn = -18 mn^2

when you add them all together,

8m^2n - 32m^2 + 15n^2 - 18mn^2

Answer:

$203.71

Step-by-step explanation:

Given;

Principal = $5,000

The amount per $1.00 is given as 1.040742

The total amount earned is equal to the product of the principal and the amount per dollar.

A = Principal × amount per dollar

Substituting the values;

A = $5000 × 1.040742

A = $5203.71

Interest earned = Total amount earned - principal

Interest earned = $5203.71 - $5000

Interest earned = $203.71

Answer:

It has no real solutions.

Step-by-step explanation

Once you calculate the discriminant,  D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.

Answer:

No solutions

Step-by-step explanation:

Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.

Use b^2 - 4ac to find the discriminant.

-10^2 - 4(8)(15) = -580

If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0

Therefore, there are no real solutions

Answer:

Exactly 26 cookies fit and there would be 0.75 of cookie space left over.

Step-by-step explanation:

In this case, we must calculate the area of a cookie and the total area of the cookie tray,

give us the diameter of the cookie, we need the radius, we know that the radius is half the diameter, so:

r = d / 2 = 1/2

the area would be:

A = pi * r ^ 2

replacing:

A = 3.14 * (1/2) ^ 2

A = 0.785

The area for each cookie is 0.785 in ^ 2

Now the area of the cookie tray would be:

A = 7 * 3

A = 21 in ^ 2

Therefore a total of:

 21 / 0.785 = 26.75

Which means that exactly 26 cookies fit and there would be 0.75 of cookie space left over.

Answer:

Combing like terms we get 7x + 4y + 9.

Answer:

From the graph, the slope of line p is 3 and the slope of line q is -3.