Answer: Alberto traveled 792 miles as total distance.
Step-by-step explanation:
Since we have given that
Distance rode by the train = 198 miles
Number of times round tip in last month = 4 times
We need to find the total distance that Alberto traveled.
So, Total distance that Alberto traveled is given by
Hence, Alberto traveled 792 miles as total distance.
Answer:
A reflection in the x-axis, and a vertical translation of 8 units down
Step-by-step explanation:
The given function is
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
The transformed function is
![g(x) = - \sqrt[3]{x} - 8](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20-%208)
To see the transformation that occurred, we can rewrite g(x) in terms of f(x).
That is:
Therefore f(x) is reflected in the x-axis and translated 8 units down.
The resulting graph decreases from left to right over its entire domain.
We are given with
random samples = 300 batteries
defective samples = 9 batteries
level of significance = 0.1
Using the P-table values and using the given values, we see that the number of defective batteries are really less than 5%
Answer:
The quadratic mean (rms) of a set of numbers is the square root of the sum of the squares of the numbers divided by the number of terms.
⎷
(
1
)
2
+
(
2
)
2
+
(
10
)
2
+
(
6
)
2
+
(
4
)
2
+
(
4
)
2
+
(
6
)
2
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Step-by-step explanation:
One to any power is one.
√
1
+
(
2
)
2
+
(
10
)
2
+
(
6
)
2
+
(
4
)
2
+
(
4
)
2
+
(
6
)
2
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Raise
2
to the power of
2
.
√
1
+
4
+
(
10
)
2
+
(
6
)
2
+
(
4
)
2
+
(
4
)
2
+
(
6
)
2
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Raise
10
to the power of
2
.
√
1
+
4
+
100
+
(
6
)
2
+
(
4
)
2
+
(
4
)
2
+
(
6
)
2
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Raise
6
to the power of
2
.
√
1
+
4
+
100
+
36
+
(
4
)
2
+
(
4
)
2
+
(
6
)
2
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Raise
4
to the power of
2
.
√
1
+
4
+
100
+
36
+
16
+
(
4
)
2
+
(
6
)
2
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Raise
4
to the power of
2
.
√
1
+
4
+
100
+
36
+
16
+
16
+
(
6
)
2
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Raise
6
to the power of
2
.
√
1
+
4
+
100
+
36
+
16
+
16
+
36
+
(
3
)
2
+
(
1
)
2
+
(
4
)
2
10
Raise
3
to the power of
2
.
√
1
+
4
+
100
+
36
+
16
+
16
+
36
+
9
+
(
1
)
2
+
(
4
)
2
10
One to any power is one.
√
1
+
4
+
100
+
36
+
16
+
16
+
36
+
9
+
1
+
(
4
)
2
10
Raise
4
to the power of
2
.
√
1
+
4
+
100
+
36
+
16
+
16
+
36
+
9
+
1
+
16
10
Add
1
and
4
.
√
5
+
100
+
36
+
16
+
16
+
36
+
9
+
1
+
16
10
Add
5
and
100
.
√
105
+
36
+
16
+
16
+
36
+
9
+
1
+
16
10
Add
105
and
36
.
√
141
+
16
+
16
+
36
+
9
+
1
+
16
10
Add
141
and
16
.
√
157
+
16
+
36
+
9
+
1
+
16
10
Add
157
and
16
.
√
173
+
36
+
9
+
1
+
16
10
Add
173
and
36
.
√
209
+
9
+
1
+
16
10
Add
209
and
9
.
√
218
+
1
+
16
10
Add
218
and
1
.
√
219
+
16
10
Add
219
and
16
.
√
235
10
Cancel the common factor of
235
and
10
.
Tap for fewer steps...
Factor
5
out of
235
.
√
5
(
47
)
10
Cancel the common factors.
Tap for fewer steps...
Factor
5
out of
10
.
√
5
⋅
47
5
⋅
2
Cancel the common factor.
√
5
⋅
47
5
⋅
2
Rewrite the expression.
√
47
2
Rewrite
√
47
2
as
√
47
√
2
.
√
47
√
2
Multiply
√
47
√
2
by
√
2
√
2
.
√
47
√
2
⋅
√
2
√
2
Combine and simplify the denominator.
Tap for fewer steps...
Multiply
√
47
√
2
and
√
2
√
2
.
√
47
√
2
√
2
√
2
Raise
√
2
to the power of
1
.
√
47
√
2
√
2
1
√
2
Raise
√
2
to the power of
1
.
√
47
√
2
√
2
1
√
2
1
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
√
47
√
2
√
2
1
+
1
Add
1
and
1
.
√
47
√
2
√
2
2
Rewrite
√
2
2
as
2
.
Tap for fewer steps...
Use
n
√
a
x
=
a
x
n
to rewrite
√
2
as
2
1
2
.
√
47
√
2
(
2
1
2
)
2
Apply the power rule and multiply exponents,
(
a
m
)
n
=
a
m
n
.
√
47
√
2
2
1
2
⋅
2
Combine
1
2
and
2
.
√
47
√
2
2
2
2
Cancel the common factor of
2
.
Tap for more steps...
√
47
√
2
2
1
Evaluate the exponent.
√
47
√
2
2
Simplify the numerator.
Tap for fewer steps...
Combine using the product rule for radicals.
√
47
⋅
2
2
Multiply
47
by
2
.
√
94
2
The result can be shown in multiple forms.
Exact Form:
√
94
2
Decimal Form:
4.84767985
…
Answer:
QR = 19.4
Step-by-step explanation:
Use Pythagoras because p = 90°
Qr is hypotenuse
; (15.5)² + (11.7)²
= 377.14
√377.14
= 19.42009
= 19.42
= 19.4
hope it helps ☺️
