Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.

Answer:

4. equation: f(x)=(x-2)(x-1)

direction: parabola faces up bc a is positive

y-intercept: (0,2)

zeros/x-intercepts: (1,0) & (2,0)

5. graph is attached (i used desmos)

Answer:

Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.

When a line is cut by a transversal, 4 angles are formed,

2 angles are >=90° while 2 are <=90°

So when we take 2 parallel lines, 4 pairs are formed.

Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

To know more about parallel lines click the link given below.

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Answer: WZ=10, YZ=15

Step-by-step explanation:

Answer: 2/3.

Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total.  1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well.  The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.

Have a great day! :)

Answer:

I think 1575000 but not sure sorry if i'm wrong

Answer:

the answer is 4,800 dollars

Step-by-step explanation:

Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.

Hope this helps!

length : [tex]\sf \sqrt{89}[/tex]

Explanation:

use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]

[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]

Answer:

[tex]\sf \sqrt{89}[/tex]

Step-by-step explanation:

Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)

Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)

Distance formula:

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

Input values into the distance formula and solve for d:

[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]

[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]

[tex]\sf \implies d=\sqrt{64+25}[/tex]

[tex]\sf \implies d=\sqrt{89}[/tex]

Answer:

71191.4 to the nearest tenth.

Step-by-step explanation:

Value after 5 years = 300000(3/4)^5

= 71191.41

Answer:

Step-by-step explanation:

The last one.

A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A

B has no x^2 term to begin with. B is not the answer.

C is in exponential form. C is not the answer

D has an x^2 term. There is nothing using x that is higher. D is the answer.

Answer:

$7886.16

Step-by-step explanation:

If the balance increases by 4%, it will be 104% of the original amount.  104% as a decimal is 1.04.  Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.

As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.

Let A = account balance

After 1 year

A = 1400 × 1.04 = $1456

After 2 years

A = (1456 + 1400) × 1.04 = $2970.24

After 3 years

A = (2970.24 + 1400) × 1.04 = $4545.05

After 4 years

A = (4545.05 + 1400) × 1.04 = $6182.85

After 5 years

A = (6182.85 + 1400) × 1.04 = $7886.16

Therefore, after 5 years her account balance will be $7886.16

Answer:

[tex]\sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf x=6[/tex]

Step-by-step explanation:

[tex]\sf Given \ equation: \left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]

[tex]\sf As \ \dfrac{1}{27}=\dfrac{1}{3^3} \ and \ \dfrac{1}{a^b}=a^{-b} \ then \ \dfrac{1}{27}=3^{-3}[/tex]

Therefore, we can rewrite the given equation with base 3:

[tex]\implies \sf (3^{-3})^x=3^{(-4x+6)}[/tex]

Apply the exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :

[tex]\implies \sf 3^{-3x}=3^{(-4x+6)}[/tex]

[tex]\sf If \ a^{f(x)}=a^{g(x)} \ then \ f(x)=g(x)[/tex]

[tex]\implies -3x=-4x+6[/tex]

Add 4x to both sides to solve for x:

[tex]\implies \sf x=6[/tex]

[tex]__________________________[/tex]

64 x 0.5 oz = 32 oz

Therefore, 64 bags of pretzels contains 32 oz of pretzels.

The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;

From a similar question, we have;

Side length of the hexagon = 8.1 m

Perpendicular distance from the center to a side of the hexagon = 7 m.

Therefore;

Cross sectional area of the hexagon, A is found as follows;

A = 6 × 0.5 × 7 × 8.1 = 170.1

Length of the tunnel, D = 3572.1 ÷ 170.1 = 21

D = 21 meters

Length of two cars and a connector, L = 8 + 8 + 3 = 19

The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.

Therefore;

Learn more about the volume of a prism here;

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Answer:

x=-2, y=-9

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]

Solution:

[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]

[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]

Simplify to:

[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]

[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]

[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]

[tex]\mathrm{Substitute\:}y=-9[/tex]

[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]

Solve:

[tex]x=-2[/tex]

Hence the answer is:

[tex]x=-2,\:y=-9[/tex]

~lenvy~

Answer:

4. / D.

Step-by-step explanation:

[tex]t-15=76\\t=76-15\\t=61[/tex]

Answer:

The answer is B

Step-by-step explanation:

I got it right

:-)

Answer:

270 Miles

Step-by-step explanation:

18 miles per gallon

15 gallons

Basically count 18, 15 times

18*15=270

The van can travel 270 miles

Answer:

False

Step-by-step explanation:

x + 3 < -5

x < -8

-x > -8

x < 8

Both aren't same

24.4 mL

By converting mm to cm, we get

1 mm = 1/10 cm

18 mm = 18/10 cm

radius (r) = 1.8 cm

To find the volume,

Volume of sphere = 4/3πr3

= 4/3π(1.8)3

Volume = 24.4 cm3

To find the capacity,

1 cm3 = 1 mL

Capacity = 24.4 mL

Answer:

B, F

Step-by-step explanation:

B, F is correct.

A, C, D, E, G, H is wrong.

[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]

[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]

Answer:

c

Step-by-step explanation:

1=x

-3=y

then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:

-3<3(1)+1

and solve it

-3<4+1

-3<5

Answer:

D

Step-by-step explanation:

y-3x < 1

D is answer

-3-3= -9

-9 <1

Answer:

Rate = 13.173% per year

Step-by-step explanation:

**Not 100% sure about this answer, but I think it's right.**

Calculation Steps:

Solving for rate r as a decimal

r = n[(A/P)^1/^nt - 1]

r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]

r = 0.131731

Then convert r to R as a percentage

R = r * 100

R = 0.131731 * 100

R = 13.173%/year

Answer:

∠TAN = 36°

Explanation:

An isoceles triangle has two equal sides and equal angle measure.

The total interior angle of a triangle sum ups to 180°

∠TAN = ∠TNA

=========

Answer:

B

Step-by-step explanation:

the sides of a regular pentagon are congruent , then

AT = NT and so Δ TAN is isosceles with base angles congruent , so

∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B

Answer: B. 4

Sorry for the really late answer

Step-by-step explanation:

If the radius of a right circular cylinder is multiplied by k, and its height does not change, then the volume of the cylinder is multiplied by k². The radius of can Q is twice as great as the radius of can p. Therefor, the volume of can Q is 2², or 4 times larger than the volume of can p.

The slope of the required line is  [tex]\frac{6}{5}[/tex].

Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .

Learn more about the slope of lines here:

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The correct statement regarding the function plotted in the graph is:

C) The maximum value of the quadratic function occurs at y = 4.

When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:

R = [8 - (-7)]/-5 - 0 = 15/-5 = -3

It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

Step-by-step explanation:

-2(11-12)=-4(1-6x)​ becomes -2(-1) = -4(1 - 6x)

Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then

                                                                        -1 = 2 -12x, or

                                                                         -3 = -12x

Simplifying this result, we get 1 = 4x, or x = 1/4

We conclude that -2(11-12)=-4(1-6x)​ has ONE solution, which is x = 1/4

Answer:

It may be a division sign, if not I have no clue.

Step-by-step explanation:

I guess it is therefore. Not so sure.....

Answer:

A triangle's exterior angle is the angle established by one of the triangle's sides and the extension of one of the triangle's adjacent sides.

Step-by-step explanation:

FACTS:

Each vertex of a triangle has two exterior angles.

It's worth noting that the "outside" angles that are "vertical" to the angles inside the triangle aren't called to as triangle exterior angles.

1. The given triangle's angles are 1, 5, and 6.

2. Angle 3 is perpendicular to angle 5 on the inside.

3. The triangle's outside angles are 2 and 4.

The correct answers are A and B.

A triangle's exterior angle is the angle created by one of the triangle's sides and the extension of one of the triangle's adjacent sides.