Answer:
7.5 lbs
Step-by-step explanation:
1 g = 0.00220462262185 lb
3400 g * .00220462262185 lbs/1 g = 7.495717 lbs
Rounding to the nearest tenth
7.5 lbs
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? *
A. There were 2,451 boys surveyed, and about 29% of them play video games.
B. There were 2,996 girls surveyed, and about 45% of them play video games.
C. There were 5,447 students surveyed, and about 54% of them do not play video games.
D. There were 2,493 students surveyed, and about 34% of them are girls who do not play video games.
Answer:
Correct option is:
B. There were 2,996 girls surveyed, and about 45% of them play video games.
Step-by-step explanation:
Let us calculate the percentage step by step as per the options.
We are given the following:
1. Boys who do play video games = 1593
2. Boys who do not play video games = 858
3. Total boys = 2451
4. Girls who do play video games = 1361
5. Boys who do not play video games = 1635
6. Total boys = 2996
7. Total number of candidates = Total boys + Total girls = 5447
8. Total number of students, who play video games = 2954
9. Total number of students, who do not play video games = 2493
Percentage of boys who play video games:
[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]
So, option A is not correct.
Percentage of girls who play video games:
[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]
The percentage is near about 45%, so option B is correct.
Percentage of Total number of students, who do not play video games:
[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]
So, option C is not correct.
Hence, correct answer is option B.
Answer:
Its b
Step-by-step explanation:
B , it just makes sense
The function g is defined by g(x) =
x + 5
4x + 3
Find g (5a)
***PLEASE HELP***
If the expression f2+g4−2f+1 is rewritten in the form a2+(g2)2, what must be the value of a?
Answer:
(f-1)
Step-by-step explanation:
If you substitute a for (f-1) you get the expression...
The value of a if the expression f² + g⁴ − 2f + 1 is rewritten in the form a² + (g²)2 is f
How to rewrite the algebraic expressionf² + g⁴ − 2f + 1
f(f - 2) + g⁴ + 1
From the expressiona = f
Therefore, the value of a is f
Learn more about algebraic expression:
https://brainly.com/question/4344214
:))))))))))))))))))))
Answer:
C
Step-by-step explanation:
[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]
Hope this helps..
Answer:
C. [tex] a \ge -6 [/tex]
Step-by-step explanation:
[tex] 48 \ge 6 - 7a [/tex]
Add 7a to both sides.
[tex] 7a + 48 \ge 6 [/tex]
Subtract 48 from both sides.
[tex] 7a \ge -42 [/tex]
Divide both sides by 7.
[tex] a \ge -6 [/tex]
Answer: [tex] a \ge -6 [/tex]
Is my answer to this problem right?
Answer:
Yes
Step-by-step explanation:
1/3 = 3 in 1
3(1) = 3
3 x 12 = 36
So 36 is correct
Answer:
I’m pretty sure you are correct.
which is not an equation of the line going through (3, -6) and (1, 2)
a. y-2=-4(x-1)
b. y-1=_4(x-2)
c. y=-4x+6
d. y+6=-4(x-3)
Answer:
The answer is B.
Step-by-step explanation:
Just took the quiz on A P E X .
Find the volume of this problem
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 11 in
Volume of cylinder = πr²h
= 3.14*3*3*11
= 310.86 in³
Joey can eat a pound and a half of ribs in 45 minutes. How many minutes would it take Joey to eat five pounds of ribs at the same rate?
Answer: 150 minutes
Step-by-step explanation:
1.5 pounds in 45 min
5 pounds in X times
Using proportionality:
[tex]\frac{1.5}{45} =\frac{5}{x} \\x=\frac{5*45}{1.5} \\x=150[/tex]
what is the standard equation of the circle in the graph
Answer:
option 1
Step-by-step explanation:
formula:(x-h)^(2)*(y-k)^(2)=r^2
well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2
if you move the circle 2 units up, plug it in you get (-2), so it is
(x+3)^2*(y-2)^(2)=r^2
now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus
(x+3)^2*(y-2)^(2)=9
this is the answer, and the option that has it is answer is option 1
14. question in attachment
[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]
Which graph represents the function g(x) = |x + 4| + 2?
On a coordinate plane, an absolute value graph has a vertex at (negative 4, 2).
On a coordinate plane, an absolute value graph has a vertex at (negative 2, 4).
On a coordinate plane, an absolute value graph has a vertex at (4, 2).
On a coordinate plane, an absolute value graph has a vertex at (2, 4).
Answer:
The following graph represents the function g(x)=|x+4| +2
1) On a coordinate plane, an absolute value graph has a vertex at (-4,2)
Step-by-step explanation:
A vertex can bed defined as a point where two lines meet. In a graph, a vertex can also be interpreted as the point where the direction of the line or curve change
The function is given by:
[tex]g(x)=|x+4|+2[/tex]
which is an absolute value function. We need to find the vertex of the graph.
The graph drawn is attached below.
We can see in the graph that at x = -4 and y = 2 , a point is formed where the straight line changes its direction.
So the vertex is formed at (-4,2)
Answer:
A. (-4,2)
Step-by-step explanation:
I will give the brainiest answer
Answer:
D
Step-by-step explanation:
If you draw the shape in D and assemble it you will get the answer
btw please mark brainliest
Given sin(−θ)=−16 and tanθ=−35√35.
What is the value of cosθ?
A) −35√6
B) −35√210
C) 35√6
D) 35√210
Answer:
D. -√35/6
Step-by-step explanation:
can somebody explain an easier way to do it
Answer:
4 to 1
Step-by-step explanation:
For herself alone, she uses a ratio of
8 tablespoons of cocoa to 2 tablespoons of sugar
The ratio is
8 to 2
We divide both numbers by 2 to get the simplified ratio
4 to 1
For two, she doubles the recipe, so she uses the ratio
16 tablespoons of cocoa to 4 tablespoons of sugar
The ratio is
16 to 4
We divide both numbers by 4 to get the simplified ratio
4 to 1
Add.
3x2 - 5x+1
2x2 +9X-6
+
A. 5x2 + 4x + 7
B. 5x2 - 4x + 5
C. 5x2 + 4x-5
D. 5x2 + 14x-5
Answer:
C
Step-by-step explanation:
3x2 - 5x+1 + 2x2 +9x-6
Combine like terms
5x2+4x-5 which is C
You are welcome and don't for get to click THANKS
What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .
===========================================================
Explanation:
[tex]a_1 = 7[/tex] is the first term
[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term
The nth term of the arithmetic sequence is,
[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]
----------------
As a check, let's plug in n = 4 and we should get -8 as our fourth term
[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]
so that confirms that portion of the sequence. I'll let you check the other values.
Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13
Answer:
[tex]3y - 2x = 13[/tex]
Step-by-step explanation:
Given
Points (-14,-5) and (4,7)
Required
Find its linear equation in a standard form
To find the linear form, we start by calculating the slope of the line
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]
[tex]m = \frac{7 + 5}{4 + 14}[/tex]
[tex]m = \frac{12}{18}[/tex]
Simplify fraction to lowest term
[tex]m = \frac{6*2}{6*3}[/tex]
[tex]m = \frac{2}{3}[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]
We have
[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]
[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]
Multiply both sides by 3
[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{3(y+5)}{x+14}[/tex]
Multiply both sides by x + 14
[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]
[tex]2 * (x + 14) = 3(y+5)[/tex]
Open brackets
[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]
[tex]2x + 28 = 3y+ 15[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]
[tex]28 = 3y+ 15 - 2x[/tex]
Subtract 15 from both sides
[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]
[tex]28 - 15 = 3y - 2x + 15- 15[/tex]
[tex]13 = 3y - 2x[/tex]
Reorder
[tex]3y - 2x = 13[/tex]
Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]
PLEASE HELP ASAP!!
Kaylee solves the equation below by first squaring both sides of the equation.
[tex]1-y=\sqrt{2y^{2} -7}[/tex]
What extraneous solution does Kaylee obtain?
y=???
Answer:
2
Step-by-step explanation:
Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.
The extraneous solution obtained by Kaylee is y = 4.
To solve the equation, let's follow Kaylee's approach and square both sides:
[tex](1 - y)^2 = (2y^2 - 7)[/tex]
Expanding the left side:
[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]
Rearranging the equation and combining like terms:
[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]
Now, to solve this quadratic equation, we can factor it:
-(y - 4)(y + 2) = 0
Setting each factor equal to zero:
y - 4 = 0 or y + 2 = 0
Solving for y in each equation:
y = 4 or y = -2
However, we need to check if these solutions are extraneous by substituting them back into the original equation:
For y = 4:
[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]
-3 ≠ 5
For y = -2:
[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]
From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.
Therefore, the extraneous solution obtained by Kaylee is y = 4.
To know more about extraneous solution, refer here:
https://brainly.com/question/32777187
#SPJ2
In the triangle below. 15 represents which ratio?
А
15
B
00
17
C
o tan
O tano
sin B
COS
Answer:
tanB
Step-by-step explanation:
In the picture attached, the question is shown.
By definition:
tan(β) = opposite/adjacent
From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:
tan(B) = 8/15
Which phrase describes a model in science?
a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object
The correct answer is B. A structure that is used to represent a complex system
Explanation:
A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"
Answer:
B. a structure that is used to represent a complex system
Step-by-step explanation:
just did the quiz on ed
which is equal to 500?
The right answer is 10√5..
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
2nd one
Step-by-step explanation:
If you look at all the factors the highest pair with a square root is 5•100
The square root of 100 is 10
And then the square root of 5 is left
help help help help help help help
Answer:
The answer would be C
Step-by-step explanation:
The volume of a cone is 201.92 cubic units. If a cylinder has the same height and radius as a cone what is it’s volume in cubic units?
Answer:
Cone: 201.92=π×r^2×h×1/3
Cylinder: V=π×r^2×h
So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:
201.92×3
Step-by-step explanation:
Answer:
Anwser is (B)
Step-by-step explanation:
Cone: 201.92=π×r^2×h×1/3
Cylinder: V=π×r^2×h
So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:
A marine biologist is interested in the daily percent intake of a particular nutrient and how it relates to growth of tiger
shrimp. She finds the growth of the tiger shrimp, G, is dependent on the daily percent intake of this nutrient, X, and can be
modeled by the function
Go) = 2 +7x.
Answer:
See picture attached
Step-by-step explanation:
The missing question is:
Draw the graph of the growth function by plotting its G-intercept and another point.
Given the function:
G(x) = 2 + 7x
its G-intercept is found when variable x is equal to zero.
G(0) = 2 + 7(0) = 2
Then, the G-intercept is point (0, 2)
To graph a line, two points are needed. Replacing x = 1 into the equation, we get:
G(1) = 2 + 7(1) = 9
So, point (1, 9) is on the line. The graph of the function is the line that passes through these two points, as can be seen in the picture attached.
Help!!
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
11 grams of drink mix per ounce of water
Step-by-step explanation:
I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.
Answer:
11 gm mix : 1 ounce water
Step-by-step explanation:
We find 1/7 of 19.75gm = 2.75
Then we multiply by 4 = 11
We have found our ounce rate to be 11 gm : 1 ounce water
Easy 50 points. Graph solutions with picture.
Answer:
(-1,-4)
Step-by-step explanation:
The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.
The system's solution should be (-1,-4).
Answer:
-1,-4Step-by-step explanation:
The equation of lines shows the two points
and it cross in the coordinates(-1,-4)
so
solution is( -1,-4)
A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks sold was three times the
number of sociology textbooks sold. How many textbooks of each type were sold?
Number of psychology textbooks sold: 1
Number of sociology textbooks sold:
Step-by-step explanation:
Total books = 368.
Sociology books = 92.
Psychology books = 3 times sociology books
= 3 x 92 = 276
Total = 276 + 92 = 368
I need help with congruence and similarity problem. ( picture below)
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
algebra 2! what’s the answer to this? will give you all my points.
Answer:
Step-by-step explanation:
this is a radical equation:
when x=1 y=0
reflected about x
-sqrt(x)
right 1 unit
-sqrt(x-1)
it looks like y-int is about (0,1/3)
vertically compressed by a factor of 1/3
-(1/3)sqrt(x-1)
if you think the y-int is more (0,1/4), then
the function is vertically compressed by a factor of 1/4
-0.25sqrt(x-1)
Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
this question looks easy but nothing makes sense to me second half didn't line up with my answer
Answer:
Rate of change of money in Michael's account will be $20 per week.
Step-by-step explanation:
If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,
After 6 weeks, amount in the account = $140
Ordered pair : (6, 140)
After 12 weeks, amount in the account = $260
Ordered pair : (12, 260)
Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{260-140}{12-6}[/tex]
= [tex]\frac{120}{6}[/tex]
= $20 per week
Therefore, rate of change of money in Michael's account will be $20 per week.
