Answer:
69 miles per hour
Step-by-step explanation:
Given
Trip to:
[tex]t_1 = 6[/tex] --- time
[tex]s_1 = 23 + s_2[/tex]
Trip back
[tex]t_2 = 9[/tex]
Required
Determine the average speed to Johannesburg
Average speed is calculated as:
[tex]speed = \frac{distance}{time}[/tex]
Make distance the subject
[tex]distance = speed * time[/tex]
Since distance is constant, then:
[tex]s_1 * t_1 = s_2 * t_2[/tex]
This gives:
[tex](23 + s_2) * 6 = s_2 * 9[/tex]
Open bracket
[tex]138 + 6s_2 = 9s_2[/tex]
Collect like terms
[tex]9s_2 - 6s_2 = 138[/tex]
[tex]3s_2 = 138[/tex]
Solve for s2
[tex]s_2 = 138/3[/tex]
[tex]s_2 = 46[/tex]
Recall that:
[tex]s_1 = 23 + s_2[/tex]
[tex]s_1 = 23 + 46[/tex]
[tex]s_1 = 69[/tex]
What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b')?
O-4
0 -3
O 3
O4
Answer:
3
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]y = a(b)^x[/tex]
In which a is the value of y when x = 0.
In this question:
When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.
side and angle properties of a parallelogram (level 2). NO LINKS!!!
Find the value of x, y, and z.
9514 1404 393
Answer:
x = 59°y = 40°z = 81°Step-by-step explanation:
The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...
z° +40° = 121°
z° = 81°
__
Adjacent angles of a parallelogram are supplementary, so ...
∠CDA +∠BAD = 180°
x° + 121° = 180°
x° = 180° -121°
x° = 59°
__
Alternate interior angles are congruent, so ...
y° = 40°
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answer:
8.50
Step-by-step explanation:
The computer club spent $27.75 on beverages for the end-of-year picnic. The total cost of the beverages was $0.75 per person. How many people attended the picnic
Can someone help me
Answer:
8
Step-by-step explanation:
If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.
What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 206, 000
Answer:260000
Step-by-step explanation:
What is the area of the parallelogram?
20 cm 2
40 cm 2
20 cm 2
40 cm 2
The ratio of boys to girls in a class
is 5:7. There are 36 students in the
class. How many more girls than boys
are there?
Answer:
tbh i may be too late but the answer is 6
Step-by-step explanation:
the ratio 5:7 in the question is basically saying for every 5 boys are 7 girls
if you multiply the number of boys by 5 ( which would equal 15) you would have 21 girls, 15 + 21 equals 36. 21- 15= 6 giving us the anser
Find the common ratio for the geometric sequence
-24, -12, -6
2 + 2 =
very easy beainliest :)
Answer:
4
Step-by-step explanation:
1+1+1+1=4
Answer:
wow, hardest question I've ever answered! It's either 4 or 22, I can't decide
Step-by-step explanation:
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
a1 =
and r1 =
*Please Help**
Answer:
r1 is given by the formula an=a1r.n-1
Step-by-step explanation:
Answer:
a1 = 2
r1 = 2
yayyyyyyyyyyyyyyyyyyyyyyyyy
can someone do this for me thanks ok bye
Answer:
log2 10 = 3x
Step-by-step explanation:
Basic Logarithm Tenets
Answer:
log2 10=3x
Step-by-step explanation:
is the amswer
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
B. parallelogram
Step-by-step explanation:
Given
See attachment for quadrilateral
Required
Select the type of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Since all 4 sides are not equal, then it is neither a square; nor a rhombus
Hence, the shape is a parallelogram
A recipe book has 24 appetizer recipes
and 37 dessert recipes. There are 10
more dinner recipes as appetizer and
dessert recipes combined. How many
recipes are in the book in all?
WILL
GIVE BRAINLIST
ANSWER
MATH
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
Which could be the length of BC
11 ft
13 ft
15 ft
18 ft
In rolling one die, give the probability a number less than 4 will show.
a: 1 over 4
b: one half (1/2)
c: 1 over 3
d: 2 over 3
Answer:
A die usually has 6 sides.
Answer - B (1/2)
what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall
The longest segment is —
pleaseeee
Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given
[tex]l = 14cm[/tex]
[tex]w = 11cm[/tex]
[tex]h = 7cm[/tex]
Required
The length of the longest segment (d)
This is calculated using:
[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]
So, we have:
[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]
Using a calculator, the equation becomes
[tex]d = \sqrt{366[/tex]
Take square roots
[tex]d = 19.13cm[/tex]
Using the diagram below l, if angle P is 78 degrees and arc CB is 46, find arc AC
Answer:
arc AC = 202°
Step-by-step explanation:
Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.
Thus:
m<P = ½(arc AC - arc CB)
Substitute
78° = ½(arc AC - 46°)
Multiply both sides by 2
2*78 = arc AC - 46
156 = arc AC - 46
Add 46 to both sides
156 + 46 = arc AC
202° = arc AC
arc AC = 202°
who was the artist that cut off his ear?
Answer:
Vincent Van Gogh
Step-by-step explanation:
He was the artist who cut off his ear in 1888 in December I think...
I hope this helped :))
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
Four-thirds
Step-by-step explanation:
If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.
The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
f(x) = x² - (1/3)x x ≠ -1
= -1 x = -1
[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)
f(x) = 1 + (1/3)
f(x) = 4/3
To know more about Function
https://brainly.com/question/12431044
#SPJ5
Please help and thank you
Answer:
2.7>217/100
Step-by-step explanation:
please help!!!!
ignore the writing -_-
Answer:
Haha once again 1200 and 8.5 are the answers
Please help due in 10 min!!! Solve for X
Answer:
x == 9
Step-by-step explanation:
Angle at the vertex is half the difference of those at the intercepted arcs;
35 = 1/2(120-15x+5)
35 * 2 = 120-15x-5
70 = 115 - 5x
70 - 115 = -5x
-45 = -5x
x = 45/5
x = 9
Hence the value of x is 9
If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain your reasoning.
Answer:
27.91 pretzels.
Step-by-step explanation:
Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:
33 x 1/3 = 11
89 / 2.5 / 11 = X
35.6 / 11 = X
3.236 = X
3/4 = 0.75
3.236 x 1.5 x 5.75 = X
4.854 x 5.75 = X
27.91 = X
Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.
Please don’t troll include work
What is the mean of the data set below? Round to the nearest tenth when necessary. 96, 98, 56, 88
search up mean calculator
please help me and use laws of exponents
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
Plz help me well mark brainliest if correct............?
Answer: 343
hope this helps