Using proportion, the equivalent units of the following units are as follows:
6km = 3.73 miles2.5 L = 0.66 gallons 90 Ib = 40.82 kgHow to use proportion to find equivalent units?Using proportion,
1.60934 km = 1 miles
6 km = ?
cross multiply
distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles
1 litre = 0.264172 gallons
2.5 litres = ?
volume(gallons) = 2.5 × 0.264172 = 0.66 gallons
1 pounds = 0.453592 kg
90 pounds = ?
weight(kg) = 40.82328 = 40.82 kg
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What is the y-intercept of the function f(x) = 2.3*?
A. (0,6)
B. (2,0)
C. (0,2)
OD. (0,3)
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answer:
-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3
Step-by-step explanation:
for this question you are choosing the lines that do not touch
the graphs for the second third and fourth ones all touch
but
the first and last one do not
therefore those are the ones with no solution
Answer:
Graph 1 and Graph 5
Step-by-step explanation:
As the first and final graphs do not intersect at any points on their graphs, they have no solution.
Question 33 of 45 You may use your calculator for this question. A particle moves along a line so that at time t where 0 ≤t≤n, its position is given by s(t)=-4 sint- t/2+10. What is the acceleration of the particle the 2 first time its velocity equals zero?
The particle's velocity at time [tex]t[/tex] is equal to the first derivative of its position at that time, and acceleration is the second derivative.
We have
[tex]s(t) = -4\sin(t) - \dfrac t2 + 10 \implies s'(t) = -4\cos(t) - \dfrac12 \implies s''(t) = 4\sin(t)[/tex]
Find when the velocity is zero:
[tex]s'(t) = -4\cos(t) - \dfrac12 = 0 \implies \cos(t) = -\dfrac18 \implies t = \cos^{-1}\left(-\dfrac18\right) \approx 1.696[/tex]
At this time, the acceleration of the particle is approximately
[tex]s''(1.696) \approx \boxed{3.969}[/tex]
(B)
The equation -x = y + 7 written in slope-intercept form is
Answer:
y= -x-7
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = y intercept
The first thing you must do is isolate y so that it is by itself on the left side of the equation:
-x = y + 7
Subtract 7 to both sides:
-x - 7 = y + 7 - 7
-x - 7 = y
Flip:
y = -x - 7
-x = y + 7 in slope intercept form is y = -x - 7
This means the slope is -1 and the y-intercept of the equation is (0, -7)
A rotation R takes A(1,-3) to A'(3,5) and B(0,0) to B'(4,-6). find the centre of rotation?
The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Given points;
A(1,-3)
A'(3,5)
B(0,0)
B'(4,-6)
C is the center point of rotation.
The given points are plotted on the graph and obtained as the center of rotation will be (0,4).
Hence the center of rotation will be (0,4).
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help me solve this give steps as well please
The total cost of 6 wave pool tickets with the discount included would be $73.5.
How to calculate the total value of 6 tickets with the discount?To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:
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Select the two binomials that are factors of 49x^2 - 36
A. 7x + 12
B. 7x - 3
C. 7x + 6
D. 7x - 6
By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)
How to find the factors of subtraction of squares
A subtraction of squares is a binomial which satisfies the following property:
a² - b² = (a - b) · (a + b) (1)
If we know that a² = 49 · x² and b² = 36, then we have the following factors:
49 · x² - 36 = (7 · x - 6) · (7 · x + 6)
By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)
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help me nowwwwwwwwww
The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°
Angles in a polygonFrom the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room
The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.
First, we will calculate the sum of angles in a heptagon
The sum of angles in a polygon is given by the formula
Sum of angles in a polygon = (n-2)180°
Where n is the number of sides
For a heptagon, n = 7
∴ Sum of angles in a heptagon = (7-2)180°
= 5×180°
= 900°
Now, considering the given diagram, we can write that
x + x + x + x + x + 90° + 90° = 900°
5x + 180° = 900°
5x = 900° - 180°
5x = 720°
x = 720°/5
x = 144°
Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°
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A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.
The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table:
Male Female
Type A 65 85
Type B 38 12
Male type B = Type B Male/Total Male
Female type B = 38/(65+38) = 12/103 = 0.11
Male or Type B= Male + Type B female/ total
= 103+12/(97+103)= 135/200 = 0.675
P(Male or Type B) > P(Male |Type B)
Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
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please help this is so confusing
Answer:
f(x)=f(6)= 6^2 - 2*6=36-12= 24
Step-by-step explanation:
This is a function, so we replace x with 6. When we do this, we use it to replace x in the above equation, so instead of having x^2-2x, we have 6^2 -2x. Then we just solve the equation, leaving us with the final solution of 24.
Does this graph represent a proportional relationship? Explain.
On a coordinate plane, a curved line has 2 curves.
Answer:
No, This graph does not show a proportional relationship. The graph of a proportional relationship is a straight line that passes through the origin.
Step-by-step explanation:
If the graph of a relationship is a line or a ray passes through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional.
So, it's clear that if a graph has to be proportional then the relationship between the variables should be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
Given relationship is not proportional because they do not have a constant ratio nor does it pass through the origin. If the data on the graph shows a curved line, it is not constant and is not proportional.
For reference, you can check the attached image also.
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I need this answer . I would be happy if I got it .
Answer:
15cm
Step-by-step explanation:
PC = 15
BR = 15
.
............................................
Please please help! translate the phrase into a variable expression. use the letter p to name the variable. if necessary, use the asterisk (*) for multiplication and the slash (/) for division
... the total number of parrots in the jungle and the 2 parrots your neighbor owns ...
The expression p+2 will denote the statement given
What is a Variable ?A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.
It is given that
the total number of parrots in the jungle and the 2 parrots your neighbor owns
Let p be the total parrots in the jungle
p+2 will denote the statement given
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Question 5 of 10
Choose the symbol that correctly compares the fracti-
-IN
113
1/2 1/2
A. >
B. =
C.
What are the zeros of f(x) = (x-7)(x - 3)(x - 2)?
07, -3, 2
07, -3, -2
07, 3, 2
07, 3, -2
Answer:
7, 3, 2
Step-by-step explanation:
Answer:
Option C,
07, 3, 2
Step-by-step explanation:
Set all zeros to 0
(x-7)=0
x= 7
(x-3)=0
x= 3
(x-2)=0
x= 2
7, 3, 2
HJ=
help me please thannk u :)
Answer:
10 is the answer. hj is 10
Mr.krabs sold a total of 29 krabby patties and krabby shakes. krabby patties cost $3 each while krabby shakes cost $2 each and he made a total of $70 . how many krabby patties and krabby shakes did mr.krabs sell?
Answer:
s = 12 and p = 17
Step-by-step explanation:
→ Set up 2 simultaneous equations
p + s = 29
3s + 2p = 70
→ Rearrange the first equation for p as the subject
p = 29 - s
→ Substitute into 2nd equation
3s + 58 - 2s = 70
→ Solve
s = 12
→ Substitute into first equation
p + 12 = 29
→ Solve
p = 17
help please i dont get it
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
__
The rules of logarithms that apply are ...
[tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]
__
take antilogsWe can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
[tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]
__
solve the quadraticAdding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]
[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]
Take 4 right[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]
For what value of g does the function f(g) = g2 + 3g equal 18?
A.
2
B.
3
C.
4
D.
6
E.
8
Answer:
B) 3
Step-by-step explanation:
f(3) = 3^2 + 3(3) = 9 + 9 = 18
Yuki wants to make a reduced-size copy
of a drawing. The original drawing is
14 inches long. Yuki's copier can only
reduce by 75%. Find the length of a copy
after Yuki reduces it 4 times at 75% each
time. Round your answer to the nearest
hundredth of an inch.
I'm having a hard time doing inequalities, and I really need help with this question. Any help will be appreciated.
Thanks
The solution to the given compound inequality 2x - 3 < x + 2 ≤ 3x + 5 is 5 > x ≥ -3/2
Compound inequality2x - 3 < x + 2 ≤ 3x + 5
solve differently
2x - 3 < x + 2
2x - x < 2 + 3
x < 5
x + 2 ≤ 3x + 5
x - 3x ≤ 5 - 2
-2x ≤ 3
x ≥ 3/-2
x ≥ -3/2
Therefore, the solution of the compound inequality is 5 > x ≥ -3/2
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which function has a domain
Answer:
F(x) = - [tex]\sqrt[3]{x}[/tex]
Step-by-step explanation:
A square root can only have a positive input for the domain
(The domain is the input for the function)
The cube root can be either negative or positive as an input
F(x) = - [tex]\sqrt[3]{x}[/tex] can have inputs from negative infinity to infinity
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.
Which statements are true of the scenario? Select two answers..
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario.
A function assigns the values. The correct option is B and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is 16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,
The distance traveled depends on the amount of time Marlene rides her bike.
The function f(t) = 16t represents the scenario.
Hence, the correct option is B and E.
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Answer:
B and E
Step-by-step explanation:
correct on Edge
Distribute and simplify these radicals.
[tex]\sqrt{12} times(-1+\sqrt{5} )[/tex]
Answer:
[tex]-2\sqrt{3} +2\sqrt{15}[/tex]
Step-by-step explanation:
When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply [tex]\sqrt{12}[/tex] by [tex]-1[/tex] , getting the answer of [tex]-\sqrt{12}[/tex], which can be further simplified into [tex]-2\sqrt{3}[/tex]. Next, looking at [tex]\sqrt{12}[/tex] × [tex]\sqrt{5}[/tex], we get [tex]\sqrt{60}[/tex], which can also be simplified further into [tex]2\sqrt{15}[/tex]. Now, adding up these two numbers get [tex]-2\sqrt{3} +2\sqrt{15}[/tex].
help me please number 8
Answer:
13
Step-by-step explanation:
square root of 12^2 + 5^2
Select the graphs that show a proportional relationship between x and y
To solve the equation ‐2x + 5 = 9 for x, what operations must be performed on both sides of the equation in order to isolate the variable x?
Answer:
b.) Subtracting 5 then dividing both sides by -2
Step-by-step explanation:
Given expression:
⇒ -2x + 5 = 9
To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.
When done so:
⇒ -2x = 9 - 5
⇒ -2x = 4
⇒ -2x/-2 = 4/-2
⇒ x = -2
What should be done to both sides to solve the equation?
Solve x-2=10
Answer:
add 2 to each side of the equation
Step-by-step explanation:
x-2=10
To solve for x, we need to add 2 to each side of the equation
x-2+2 = 10+2
x = 12
Simplify the expression
-17.8a-2.4a+25-19.5
Answer:
-20.2a+5.5
subtract the values with a in it and the ones without the a together.
Which graph represents the function f(x) = 3x-2/X-2
Answer:
Step-by-step explanation: