Answer:
2.68 hours
Step-by-step explanation:
The value of a car decreases by 20 percent per year. Mr. Sing purchases a $22,000 automobile. What is the value of the car at the end of the second year?$14,080$17,600$19,800$26,400
Answer:
$14,080
Step-by Step Explanation:
Answer:
$14,080
Step-by-step explanation:
Hope this helps.
In the measurement of the length of a cylinder, the main scale reading of a vernier caliper is 2.8 cm, the vernier reading is 4, and the least count of the vernier is 0.01 cm. Find the reading of the length of the cylinder.
Answer:
the reading of the length of the cylinder is 2.84 cm
Step-by-step explanation:
Given the data in the question;
the main scale reading = 2.8 cm
the Vernier reading = 4
the least count of the Vernier = 0.01 cm
the reading of the length of the cylinder = ?
To determine the reading of the length of the cylinder, we simply say;
Reading length = main scale reading + ( Vernier reading × least count )
so we substitute in our given values
Reading length = 2.8 cm + ( 4 × 0.01 cm )
Reading length = 2.8 cm + 0.04 cm
Reading length = 2.84 cm
Therefore, the reading of the length of the cylinder is 2.84 cm
(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in South Africa along with the remains of a campfire. Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.
Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]
[tex](1-r)^{5600} = 0.5[/tex]
[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]
[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]
[tex]1 - r = 0.9999[/tex]
So
[tex]A(t) = A(0)(0.9999)^t[/tex]
Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which [tex]A(t) = 0.02A(0)[/tex]. So
[tex]A(t) = A(0)(0.9999)^t[/tex]
[tex]0.02A(0) = A(0)(0.9999)^t[/tex]
[tex](0.9999)^t = 0.02[/tex]
[tex]\log{(0.9999)^t} = \log{0.02}[/tex]
[tex]t\log{0.9999} = \log{0.02}[/tex]
[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]
[tex]t = 39118[/tex]
The estimated age of the skull is 39118 years.
how do I get from 0 to negative 2
Answer:
Step-by-step explanation:
Are you referring to the number line? Start at “0” and go left to “-2”
i have to do a number graph using fractions I dont know how
Answer:
What kind of graph?
5-[6-2-(1-8) -3 +6]+5 =
Answer:
-4
Step-by-step explanation:
5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =
Simplify.
5 - [6 - 2 + 7 - 3 + 6] + 5 =
Subtract
5 - [4 + 7 - 3 + 6] + 5 =
Add
5 - (11 - 3 + 6) + 5
Subtract
5 - (8 + 6) + 5
Add
5 - 14 + 5
Simplify by adding and subtracting.
-4
good luck, i hope this helps :)
Answer:
[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5
=-4
I hope this help
For the following pair of functions, find (f+g)(x) and (f-g)(x).
f(x)= 4x2 + 7x-5 and g(x)= - 9x² + 4x - 13
(f+g)(x) = 0
(Simplify your answer. Type in descending order.)
(f-g)(x) =
(Simplify your answer. Type in descending order.)
Given:
The functions are
[tex]f(x)=4x^2+7x-5[/tex]
[tex]g(x)=-9x^2+4x-13[/tex]
To find:
The functions [tex](f+g)(x)[/tex] and [tex](f-g)(x)[/tex].
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex](f+g)(x)=4x^2+7x-5-9x^2+4x-13[/tex]
[tex](f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)[/tex]
[tex](f+g)(x)=-5x^2+11x-18[/tex]
And,
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)[/tex]
[tex](f+g)(x)=4x^2+7x-5+9x^2-4x+13[/tex]
[tex](f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)[/tex]
[tex](f-g)(x)=13x^2+3x+8[/tex]
Therefore, the required functions are [tex](f+g)(x)=-5x^2+11x-18[/tex]
and [tex](f-g)(x)=13x^2+3x+8[/tex].
Throwing a ball describes what kind of graph.
Answer:
parabola
Step-by-step explanation:
The path followed by a ball can be modeled by a graph.
Throwing a ball is a parabola or quadratic graph.
When a ball is thrown, the path it follows can be represented by:
[tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
or
[tex]\mathbf{f(x) = a(x - h)^2 + k}[/tex]
The above equations are functions of a parabola or quadratic graph.
Hence, throwing a ball is a parabola or quadratic graph.
Read more about graphs at:
https://brainly.com/question/9915751
route bought a bicycle for 1200 she later sold it for 800 what was her loss
Answer:
-400
Step-by-step explanation:
Answer:
Her loss was 400
Step-by-step explanation:
CP= 1200
SP= 800
L=?
Now,
L= CP - SP
= 1200 - 800
=400
I don't need a explanation I just need to know what are the two answers thankyou!
Answer:
(4.7) ⁴
(4.7)-⁴
Step-by-step explanation:
Mark brainliest please
Exact distance between (-1,-9) and (5,-5)
[tex]2 \sqrt{13} [/tex]
that is your answer
Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern? Ha : μ < 25.3 H, a, : , μ, < 25.3 A Ha : μ > 25.3 H, a, : , μ, > 25.3 B Ha : μ < 24.5 H, a, : , μ, < 24.5 C Ha : μ > 24.5 H, a , : , μ, > 24.5 D Ha : μ ≠ 24.5
Answer:
[tex]H_a > \mu = 24.5[/tex]
Step-by-step explanation:
Given
[tex]n = 28[/tex] --- sample size
[tex]\bar x = 25.3[/tex] --- Mean
[tex]x = 24.5[/tex] --- Average
Required
Determine the alternate hypothesis
From the question, we understand that it is safe to drink water at 24.5 ppb or less.
This implies that the null hypothesis is:
[tex]H_0 \le \mu = \bar x[/tex]
i.e.
[tex]H_0 \le \mu = 24.5[/tex]
The opposite of [tex]\le[/tex] is [tex]>[/tex]
So, the alternate hypothesis will be:
[tex]H_a > \mu = \bar x[/tex]
[tex]H_a > \mu = 24.5[/tex]
Hence: (c) is correct
A line has a gradient of -2
A line that is parallel to this will have a gradient of ...
Given:
A line has a gradient of -2
A line that is parallel to this will have a gradient of ..... .
To find:
The missing value.
Solution:
Gradient of a line is also known as slope of the line.
We know that the slopes of the parallel lines are equal.
A line has a gradient of -2. So, the slopes of all the lines which are parallel to this line have a gradient of -2.
Therefore, the missing value is -2.
Estimate 9/16 to the lowest terms
Answer:
9/16
is already in the simplest form. It can be written as 0.5625 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
Write and equivalent expression for the following expression: ab
Answer:
ab = a(b)
Step-by-step explanation:
cuz u can just add parentheses
A cylinder has a diameter of 19 inches. It has a volume of about 3,400.62
cubic inches. Find the height.
I need help if the awnser is right I will mark you
Answer:
C. 344 square centimeters
What is the equation of a line that passes through (0, 6) and (6, 0)?
a.y = -x
b.y = x - 6
c.y = x + 6
d.y = -x + 6
PLZ HELP IN A TEST
Pls helllp!!!
Find the hourly wage: $80 for 9 hours.
O $8.89
O $17.78
O $71
O $10.12
1. Carla has some stickers. Kezia had 4 times as many as Carla but gave 5 to her sister and now she had 7. How many stickers does Carla have?
Answer:
2
Step-by-step explanation:
hope it helps god blessss
3
7+5=12
add 5 that she gave to her sister and divide it by 4 since she had 4x more than Carla
A contractor purchases 3 dozen pairs of padded work gloves for $42.48. He incorrectly calculates the unit price as $14.16 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
1.18
Step-by-step explanation:
$1.17
Step-by-step explanation:
He divided the total cost by 3 not 3 dozen (36).
The line perpendicular to y= (-3/2)x -4 and goes through (1,4)
Answer (assuming it is allowed to be in point-slope format):
[tex]y-4 = \frac{2}{3}(x-1)[/tex]
Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation, [tex]y = -\frac{3}{2} x-4[/tex]. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since [tex]-\frac{3}{2}[/tex] is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be [tex]\frac{2}{3}[/tex].
2) Now, use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] to write the new equation with the given information. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]\frac{2}{3}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following equation and answer:
[tex]y-4 = \frac{2}{3}(x-1)[/tex]
Select all equations for which -3 is a solution.
2x3 = -27
0 -2 =9
O ? = 9
O 3 = 27
O x2 = -9
O (-2)2 = 9
Answer:
look it up
Step-by-step explanation:
YALL I NEED HELP ASAP !
Answer:
the answer would be 50 rounded to the nearest ten
Step-by-step explanation:
so sorry if this is not correct °3°
okay thanks for reading :P
12/7 ÷ 12/7 = ??????????
Answer:
1
Step-by-step explanation:
Anything divided by itself is always 1.
Answer:
the answer is 1
Step-by-step explanation:
Jack can text 210 characters in 21 minutes. Write an expression for m minutes.
a. 10m
b. 210m
c. 21m
d. 12m
Subtract. (12+8i)−(7+4i) Enter your answer in the box.
Answer:
5+12i
Step-by-step explanation:
So 12-7 = 5 and 8i+4i=12i and that equals 5+12i
Select the correct answer from each drop-down menu.
Gilbert is training for a bike race. As part of his training, he does practice rides on portions of
and his second practice ride covers 9 miles of the course. Between these practice rides, he in
These functions model the time it took Gilbert to do each practice ride, where x is his speed
Practice Ride 1
Practice Ride 2
9
+ 2
The denominator of the function that models practice ride 2 represents the
To find a function that models the total amount of time Gilbert spent doing practice rides on
Reset
N
Answer:
I need help on this as well
Answer:
1.biking speed for the second practice ride
2.add
Step-by-step explanation:
This is right for plato bc i got it right:)
which expression is equivalent to (5m) ^3
Answer:
5m•5m•5m
Step-by-step explanation:
so you multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3
5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5m)³
We have to find the equivalent expression of (5m)³
Equivalent expressions are expressions that work the same even though they look different
(5m)³ can be written as 5m.5m.5m
The value of five cube is one hundred twenty five.
125m³
Hence, 5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
To learn more on Expressions click:
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Paige's hair was originally 7 inches long. she asked her hair dresser to cut1/2 of it off. how many inches did she cut off
Answer:
3.5 inches
Step-by-step explanation:
half of 7 is 3.5
