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andrey2020 [161]

3 years ago

5

Laura paddles in her canoe at a speed of 6 mph for 6 miles. She then hops on her windsurfer and sails for 12 miles at a speed of

6 mph. For how long does Laura travel?
A.

108 hours

B.

72 hours

C.

3 hours

D.

4 hours

1 answer:

Allisa [31]3 years ago

6 0

Answer: C, 3 HOURS

Step-by-step explanation:

she canoed for 1 hour and windsurfed for 2 hours

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Coleman uses his graphing calculator to find all of the solutions to the equation shown below.

Phoenix [80]

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x f(x) h(x)

-1.4 0.256 0.1584

-1.39 0.314381 0.26699

-1.38 0.371928 0.373261

-1.37 0.428647 0.477246

-1.36 0.484544 0.57898

Which shows an intersection at the point around -1.38

x f(x) h(x)

0.77 3.456533 3.64847

0.78 3.474552 3.629849

0.79 3.493039 3.610499

0.8 3.512 3.5904

0.81 3.531441 3.569533

0.82 3.551368 3.547878

0.83 3.571787 3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

8 0

2 years ago

200 + 20x ≥ 500 I don't get these

Vikentia [17]

Answer:

x ≥ 15

Step-by-step explanation:

200 + 20x ≥ 500

To solve this inequality, you must first subtract 200 from 500.

500 - 200 = 300.

Lastly, divide 300 by 20.

20x = 300

300 ÷ 20 = 15

Therefore, the value of x is 15.

8 0

3 years ago

Read 2 more answers

Find an equation of the circle that has center (-1,3) and passes through (1,-4)

NeX [460]

Answer:

https://forms.gle/VqfekaGgk8cfJhPW9

Step-by-step explanation:

6 0

3 years ago

Match the cofactors to their corresponding entries in the matrix.

Masja [62]

Answer:

The co-factors and their values are shown in the table below.

Step-by-step explanation:

We are given the matrix, $\begin{bmatrix}3&7&1\\7&1&-3\\8&5&1\end{bmatrix}$ .

It is required to match the co-factors with the corresponding values.

As, the co-factors are given by,

$A_{c_{ij}}$ = $(-1)^{i+j}(d)$ , where the d= determinant of the matrix after removing the i- row and j- column.

So, we have,

1. $A_{c_{11}}$ .

So, $A_{c_{11}}=(-1)^{1+1}(1\times 1-5\times (-3))$

i.e. $A_{c_{11}}=(-1)^{2}(1+15)=16$

2. $A_{c_{13}}$ .

So, $A_{c_{13}}=(-1)^{1+3}(7\times 5-1\times 8)$

i.e. $A_{c_{13}}=(-1)^{4}(35-8)=27$

3. $A_{c_{21}}$ .

So, $A_{c_{21}}=(-1)^{2+1}(7\times 1-5\times 1)$

i.e. $A_{c_{21}}=(-1)^{3}(7-5)=-2$

4. $A_{c_{22}}$ .

So, $A_{c_{22}}=(-1)^{2+2}(3\times 1-8\times 1)$

i.e. $A_{c_{22}}=(-1)^{4}(3-8)=-5$

5. $A_{c_{31}}$ .

So, $A_{c_{31}}=(-1)^{3+1}(7\times (-3)-1\times 1)$

i.e. $A_{c_{31}}=(-1)^{4}(-21-1)=-22$

Thus, we get,

Co-factor Value

$A_{c_{11}}$ 16

$A_{c_{13}}$ 27

$A_{c_{21}}$ -2

$A_{c_{22}}$ -5

$A_{c_{31}}$ -22

4 0

3 years ago

Labyrinth Middle School is 363 ft long Tabitha makes a scale model of the skull and the drawing is 33 in Long. What is the scale

san4es73 [151]

1 inch on the drawing represents 11 feet in the labyrinth middle school.

Step-by-step explanation:

Step 1:

The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.

So 33 inches on the drawing is equal to 363 feet in the labyrinth school.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling

The scale factor $= \frac{33}{363} = \frac{1}{11}.$

So the scale factor is $\frac{1}{11}$ . This means that 1 inch on the drawing is 11 feet in the actual school.

8 0

3 years ago