Answer:
Step-by-step explanation:
Plot the point (4, 0) (the x-intercept) and then the point (0, -3) (the y-intercept). Draw a straight line through these two points.
Please help me with the question below
Answer: In the top box: S ≥ 2000 - (S + 178)
S ≥ 2000 - A A = S + 178 substituted for A in the first equation
The solution is S ≥ 911 and A ≥ 1089
Step-by-step explanation:
S ≥ 2000 - (S + 178)
S ≥ 2000 - S -178 Add S to both sides,
S + S ≥ 2000 -178
2S ≥ 1822
S ≥ 911 so A ≥ 911 + 178 A≥ 1089 (but the question shown doesn't ask that)
This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.
pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).
Answer:
36
Step-by-step explanation:
In the above question, we have been given a rule to follow
Given a * b = ba−ba+ab
We are to find (2*3)×(3*2)
Let simplify each bracket first
a * b = ba−ba+ab
2*3, a = 2, b = 3
2*3 = 3×2 - 3×2 + 2×3
= 6 - 6 + 6
= 6
a * b = ba−ba+ab
3*2, a = 3, b = 2
3*2 = 2×3 - 2×3 + 3×2
= 6 - 6 + 6
= 6
(2*3)×(3*2)
= 6 × 6
= 36
The answer is 36
Marlene brought a can of polyurethane varnish that was stored at 40°F into her shop, where the
temperature was 74°F. After 2 hours, the temperature of the varnish was 58°F. If the varnish must be
68°F for best results, then how much longer must Marlene wait until she uses the varnish?
Please show explanation:(
Answer:
1 hour and 6 minutes
Step-by-step explanation:
A temperature difference of 58-40 = 18°F was obtained in 2 hoursA temperature difference of 68-40 = 28°F will be obtained in x hoursThe next proportion must be satisfied:
18 °F / 28 °F = 2 hours / x hours
x = 2*28/18
x = 3.1 hours in total
Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.
Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads 3/8. If Evelyn flips the three coins simultaneously 200 times, how many times can she expect only two heads to turn up
Answer:
75
Step-by-step explanation:
200 ÷ 8 = 25
25 x 3 = 75
The number of times 2 coins will turn heads up is 75, the correct option is D.
What is Probability?Probability is the measure of the likeliness of an event to happen.
The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.
When 3 coins are flipped, there is two probabilities,
The probability of getting a head or a tail is 1/2.
The probability that there will be 2 coins that will turn up heads is 3/8
Probability is defined as the ratio of favorable outcomes to total outcomes.
If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,
= (3/8) * 200
= 75
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10. (2x10^-3)^3= ? Explanation please
Answer: 0.000000002
Step-by-step explanation:
Evaluation of (2x10^-3)^3 will be achieved by using the law of indices or exponent.
(A^x)^y = A^xy
Therefore,
(2x10^-3)^3= 2x10^-9
Convert the number in standard form back to normal number form
2×10^-9 = 0.000000002
Therefore,
(2x10^-3)^3 = 0.000000002
[tex]\frac{\sec\left(x\right)}{\cos\left(x\right)}-\frac{\sin\left(x\right)}{\csc\left(x\right)\cos^{2}\left(x\right)}[/tex]Use the basic identities to change the expression to one involving only sines and cosines. Then simplify to a basic trig function.
Answer:
1
Step-by-step explanation:
First, convert all the secants and cosecants to cosine and sine, respectively. Recall that [tex]csc(x)=1/sin(x)[/tex] and [tex]sec(x)=1/cos(x)[/tex].
Thus:
[tex]\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}[/tex]
[tex]=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }[/tex]
Let's do the first part first: (Recall how to divide fractions)
[tex]\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}[/tex]
For the second term:
[tex]\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}[/tex]
So, all together: (same denominator; combine terms)
[tex]\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}[/tex]
Note the numerator; it can be derived from the Pythagorean Identity:
[tex]sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)[/tex]
Thus, we can substitute the numerator:
[tex]\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1[/tex]
Everything simplifies to 1.
What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?
Answer:
x = 0, x = 4, x = -3
Step-by-step explanation:
Factor out the x, which makes it x(x^2-x-12)
Then it will be x(x-4)(x+3)
x = 0
x - 4 = 0, x = 4
x + 3 = 0, x = -3
Question 6 Essay Worth 5 points)
(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
40
SO
Write and solve an equation to determine the measure of angle y.
I
The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.
How can we find the solution to an equation?We do same operations on both the sides so that equality of both expressions doesn't get disturbed.
Solving equations generally means finding the values of the variables used in it for which the considered equation is true.
Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.
The angles subtended by a circle is 360°, then;
The equation is found as;
[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]
The sum of angle of the two right angle is 180°;
x°+40°+50°=180°
x=90°
y+50°+40°=180°
Y=90°
Hence, the value of y will be 90°.
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Which of the following operations would be used to solve y−7=38?
- 7
×−7
+ 7
-266
Answer:
Add 7 to each side
Step-by-step explanation:
y−7=38
Add 7 to each side
y−7+7=38+7
y = 45
Answer: add 7
Step-by-step explanation: To solve for y, we need to isolate y and we do that by using inverse operations.
Since we have -7 on the left side, the opposite of subtracting is adding.
So we add 7 to both sides to get y = 45.
Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1
Answer:
x = 1.125
Step-by-step explanation:
6x – 5 = (2/3)x + 1
6x - (2/3)x = 1 + 5
(16/3)x = 6
x = 9/8
x = 1.125
Which statement about this figure is true?
I'd have to say it Has Reflectional Symmetry.
Can someone help me please!!?
Answer:
Step-by-step explanation;
1. 41%=0.41=K
2. 23%=0.23=F
3. 98%=0.98=D
4. 67%=0.67=E
5. 34%=0.34=A
6. 12%=0.12=G
7. 48%=0.48=B
8. 76%=0.76=J
A. 3/10=0.3
B. 1/2=0.5
C. 1/4=0.25
D. 5/5=1
E. 2/3=0.67
F. 1/3=0.33
G. 1/10=0.1
H. 3/4=0.75
I. 9/10=0.9
J. 4/5=0.8
K. 2/5=0.4
Which interval would not be used for the stems of a stem-and-leaf plot? 10 100 1 5
Answer:
i think it's 100
Step-by-step explanation:
100 is the interval which would not be used for the stems of a stem-and-leaf plot.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.
The stem represents the largest common place value of the numbers being plotted.
If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.
The stem values would be 1, 2, 3, and 4.
Therefore, the interval for the stems should be determined by the range of the data set.
Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.
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Please help me I would appreciate it
Answer:
m<1= 50 degrees
m<2= 130 degrees
m<3= 50 degrees
m<4= 130 degrees
m<5= 40 degrees
m<6= 30 degrees
Step-by-step explanation:
All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)
What is the area of the obtuse triangle below?
다
Should I use SAS (side angle side) or SSS (side side side) to see if the triangles are congruent? AND WHY?
Maria is making a stained glass window using glass tiles. Each tile is 1/4 inch by 1/4 inch. The window is 14 inches wide by 20 inches long.. How many glass tiles will Maria need to make her stained glass window?
answer choices
4,480
2,240,
1,120
280
Answer:
4,480
Step-by-step explanation:
In the above question, we are told that the measurements of the stained glass windows Maria intends to make is 14 inches wide by 20 inches long.
Step 1
We find the area of the window
Length × Width ( Breadth)
= 20 × 14 = 280 square inches
Step 2
The tiles that she intends to use has the following measurements
1/4 inch by 1/4 inch
The Area of these glass tiles = 1/4 × 1/4 = 1/16 square inches.
Step 3
Finally to calculate the number of tiles that she would required to make the stained glass window =
Area of the window ÷ Area of the glass tiles
= 280 square inches ÷ 1/16 square inches
= 4,480
Therefore, Maria would be needing 4,480 glass tiles to make her stained glass window.
Need Help Please I'm Out Of Time ;( The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units ______ the origin and 7 units ______ the origin 1st Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of 2nd Blank Choices: A. Above B. To The Left Of C. Below D. To The Right Of
Answer:
Left, Up
Step-by-step explanation:
Since -2 is to the left of 0 on the x-axis, we are moving left 2 units.
Since 7 is above 0 on the y-axis, we are moving up 7 units.
Answer:
The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units left of the origin and 7 units up the origin 1st Blank
I need help with this sum
Hello there! :)
Answer:
D. [tex](\frac{3 }{2}, 2)[/tex]
Step-by-step explanation:
Use the midpoint formula to solve:
[tex](x_{m}, y_{m} ) = (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2}}{2})[/tex]
Plug in the points shown:
[tex](\frac{0+3 }{2}, \frac{4+0}{2})[/tex]
Simplify:
Midpoint coordinates at [tex](\frac{3 }{2}, 2)[/tex]
Find the inequality represented by the graph?
Answer:
y > -2/3x + 3
Step-by-step explanation:
Well lets first start with the beginning and look at its features.
Features
- Dashed line
- Shaded up
- negative slope
- y intercept at 3
____________________________________________________________
So if the line is dashed with the shade going up that means the inequality starts like this,
y >
We can tell that the y intercept is at 3 because that the point the line touches the y axis.
So we got y > 3,
To find slope we use the following formula,
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],
So we can use points (0,3) and (3,1).
1 is y2 and 3 is y1 so 1 - 3 = -2
3 - 0 = 3
Slope: -2/3x
Thus,
the inequality is y > -2/3x + 3.
Hope this helps :)
The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.
According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.
The linear function can be found by using the point-slope formula:
[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:
[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]
[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)
The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.
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a storybook is sold at a discount of 20%. If the discount is $3, what is the selling price of the storybook
Answer:
Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.
We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.
0.2x = 3
Divide both sides by 0.2.
x = 3/0.2
x = 15
The regular price is $15.
Answer:
12
Step-by-step explanation:
x = original price
x* 20% = 3
Change to decimal form
x*.2 = 3
Divide each side by .2
x*.2 /.2 = 3/.2
x =15
The original price is 15
Selling price is 15-3 = 12
Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?
Answer:
47.13 for 17 melons
Step-by-step explanation:
We can use a ratio to solve
24.95 x dollars
---------------- = ----------------
9 melons 17 melons
Using cross products
24.95 * 17 = 9x
Divide by 9
24.95 * 17/9 = x
47.127777777 = x
Rounding to the nearest cent
47.13 for 17 melons
Answer:
$47.12
Step-by-step explanation:
We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.
I need help plz 6.2(a+5)-2a+1.2
Answer:
4.2a+32.2Solution,
[tex]6.2(a + 5) - 2a + 1.2 \\ = 6.2 \times a + 6.2 \times 5 - 2a + 1.2 \\ = 6.2a + 31 - 2a + 1.2 \\ = 6.2a - 2a + 31 + 1.2 \\ = 4.2a + 32.2[/tex]
Hope this helps.
Good luck on your assignment...
Which of the following systems has equations that are dependent?
1. 2x + 2y = 6
4x + 4y = 4
2. 2x + 2y = 6
2x - 2y = 6
3. y = -x+3
y = -x-3
4. 2x+2y = 6
y = -x + 3
Is the graph increasing, decreasing, or constant?
A. Decreasing
B. Constant
C. Increasing
Answer:
A: the graph is decreasing
The graph is decreasing because the slope is negative. Then the correct option is A.
What is increasing and decreasing of function?If the value of y increases as the value of x increases, then increasing function.
And if the value of y decreases as the value of x increases, then decreasing function.
In the graph, as the value of x increases, the value of y decreases.
The graph is decreasing because the slope is negative.
Then the correct option is A.
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What is the value of f(6) in the function below?
f(x) = 2x
HELP ASAP PLS
Answer:
f(6) = 64
Step-by-step explanation:
f(x) = 2^x
Let x = 6
f(6) = 2^6
= 2*2*2*2*2*2
= 64
Answer:
B. 64
Step-by-step explanation:
[tex]f(x)=2^x[/tex]
Plug x as 6 and solve.
[tex]f(6)=2^{(6)}[/tex]
[tex]f(6)=2^6[/tex]
[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
[tex]f(6)=64[/tex]
Find CE. Please explain step by step!
Answer:
30
Step-by-step explanation:
We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.
Answer:
Step-by-step explanation:
BE=BC=25 in
trg BCE isosceles so CE=2✓25^2-20^2
=2"✓625-400=2*✓225=2*15
CE=30
To the nearest tenth of a square centimeter, what is the
surface area of the cone if the radius of its base is 5 cm and
its height is 12?
Work Shown:
SA = surface area of cone
SA = pi*r^2 + pi*r*sqrt(r^2 + h^2)
SA = pi*5^2 + pi*5*sqrt(5^2 + h^2) ... plug in r = 5
SA = pi*5^2 + pi*5*sqrt(5^2 + 12^2) ... plug in h = 12
SA = pi*25 + pi*5*sqrt(169)
SA = 25pi + 5pi*13
SA = 25pi + 65pi
SA = 90pi .... exact surface area in terms of pi
SA = 282.743338823081 .... see note below
SA = 282.7
note: this is the approximate surface area. I used the calculator's stored value of pi, rather than something like pi = 3.14; that way the surface area is as accurate as possible. Your teacher may want you to use pi = 3.14 though, which is why its a good idea to ask and clarify.
Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40
Answer:
Hello!
~~~~~~~~~~~~~~~~~~~~~
Your answer would be (D) 25–40
Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.
Thus, (D) is the correct answer.
Answer:
Its D
Step-by-step explanation:
for all the ppl who don't care how they got it
Consider the polynomial function g(x)=5x^6+x^5+9x^3-12x-125 What is the end behavior of the graph of g?
Answer:
As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity
Step-by-step explanation:
Because
The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
What is a polynomial function?A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.
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