Answer:
X > 3
Step-by-step explanation:
When divided or multiplied by a negative number the inequality will change
A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. points and a line show a downward trend. which is most likely the correlation coefficient for the set of data shown? –0.83 –0.21 0.21 0.83
The most likely correlation coefficient for the set of data shown is: -0.21.
Correlation coefficientWe would be using CORREL in excel to determine the correlation coefficient by inputting the set data below
X Y
A (1,4)
B (2, 1.5)
C (3,3)
D (4,4)
E (5,2)
Hence:
Correlation coefficient=-0.20801
Correlation coefficient=-0.21 (Approximately)
Therefore the most likely correlation coefficient for the set of data shown is: -0.21.
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Answer:
B) -0.21.
Step-by-step explanation:
Augustus is trying to make chocolate milk. He has made a 10% chocolate milk solution (this means that the solution is 10% chocolate and 90% milk). He has also made a 25% chocolate milk solution. Unfortunately, the 10% solution is too weak, and the 25% solution is way too chocolaty. He has a whole lot of the 10% solution, but he has only 30 gallons of the 25% solution. How many gallons of 10% solution should he add to the 25% solution to make a mixture that is 15% chocolate?
Answer:
60 gallons
Step-by-step explanation:
The amount of 10% solution he should add can be found by writing an equation for the total amount of chocolate in the mix.
__
Let x represent the amount of 10% solution that Augustus needs to add to the 30 gallons of 25% solution. The amount of chocolate in the resulting 15% mix is ...
0.10x +0.25(30) = 0.15(x +30) . . . . gallons of chocolate in the mix
0.10(30) = 0.05x . . . . . . . . subtract 0.10x +0.15(30)
60 = x . . . . . . . . . . . . divide by 0.05
Augustus should add 60 gallons of the 10% solution to make a 15% mixture.
Help asap. Show your work please :)
Use the function f(x) = 5x2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
A) factor f(x) are 3/5 and -1.
B) x-intercepts of the graph of f(x) are (3/5, 0) and (-1, 0).
C) The end behavior is explained by vertex of the graph which is (-0.2, -3.2)
D) The graph is symmetrical about x = -0.2. shown below
What is factorization?Factorizing is a way of writing an expression as a product of its factors using brackets.
Given function is : 5x² + 2x − 3
A)5x² + 2x − 3
= 5x² + 5x-3x − 3
= 5x(x+1)-3(x+1)
=(5x-3)(x+1)
So, factors will be 3/5 and -1.
B) f(x)= 5x² + 2x − 3
The x-intercepts are when f(x) = 0.
So, x-intercepts are (3/5, 0) and (-1, 0).
C) The x-coordinate of the vertex is the midpoint of the zeros.
midpoint= (3/5-1)/2
=-0.2
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
f(-0.2)= 5(-0.2)² + 2(-0.2) − 3
=-3.2
So, the end behavior is explained by vertex of the graph which is (-0.2, -3.2)
D) By plotting the zeroes and the vertex of the f(x).
The axis of symmetry is the x value of the vertex.
Thus, the graph is symmetrical about x = -0.2.
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Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram.
A circle is cut into 8 equal sections. The sections are arranged into the shape of a parallelogram with a base of 9.42 inches and height of 3 inches.
Which expression represents the approximate area of the circle in square inches?
can i pls get help :(
A circle is a curve sketched out by a point moving in a plane. The area of the circle will be equal to 28.26 in².
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the circle will be approximately equal to the area of the parallelogram. Therefore, the area of the parallelogram can be written as,
[tex]\text{Area of parallelogram} = 9.42 \times 3 = 28.26\rm\ in^2[/tex]
Hence, the area of the circle will be equal to 28.26 in².
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sanjeev ate 1/6 of cake he gave to his frend the remainder 1/5 how much did he keep
Step-by-step explanation:
[tex] = 1 - ( \frac{1}{6} + \frac{1}{5} )[/tex]
[tex] = 1 - ( \frac{5}{30} + \frac{6}{30} )[/tex]
[tex] = 1 - \frac{11}{30} [/tex]
[tex] = \frac{30}{30} - \frac{11}{30} [/tex]
[tex] = \frac{19}{30} [/tex]
So, he keeps [tex] \frac{19}{30}[/tex]
Answer:
Sanjeev kept 19/30 of his cake.
Step-by-step explanation:
So, if Sanjeev ate 1/6 of the cake there will be 5/6 of the cake left over.
He gave 1/5 of this 5/6 to his friend.
He did not give 1/5 of the entire cake, he gave 1/5 of the remainder of his cake, which was 5/6.
To solve this, we must first convert both fractions to the same denominator.
1/5 and 5/6 becomes 6/30 and 25/30
He gave away 6/30 of this 25/30
It is now clear that we must take away how much he gave away from the remainder of the cake.
25/30 subtract 6/30 becomes 19/30
We cannot simplify this.
Therefore, Sanjeev kept 19/30 of his cake.
a function is graphed on coordinate plane. what is the value of the function when x = -4
Answer:
no graph un asnwerable
Step-by-step explanation:
The graph below shows the solution to which system of inequalities?
O A. x< 1 and yz x
B. x< 1 and y>x
C. y≤ 1 and y>x
D. y< 1 and yzx
Answer:
y < 1 and y > x
Step-by-step explanation:
Let's find each equation without any inequalities first.
We have a dotted line at y = 1
Now, a dotted line represents exclusivity, and hence; it should not include the = sign
Therefore, the answer is y < 1 and y > x
Help me with this extremely hard differentiation question , [Scroll] >>
[tex]\huge\frac{d}{dx}[\sum_{n=0}^{∞}[(\frac{(-1) ^ {n}}{(2n+1)!})(\frac{1}{1+e^{x}})^{2n+1}] ][/tex]
Answer:
[tex]f'(x)=\displaystyle -\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]
Step-by-step explanation:
Recall the power series [tex]\sin(x)=\displaystyle \sum\limits^\infty_{n=0}(-1)^n\frac{x^{2n+1}}{(2n+1)!}[/tex].
In this case, [tex]x[/tex] is replaced with [tex]\displaystyle \frac{1}{1+e^x}[/tex], so our power series actually works out to be [tex]\displaystyle \sin\biggr(\frac{1}{1+e^x}\biggr) =\sum\limits^\infty_{n=0}(-1)^n\frac{\bigr(\frac{1}{1+e^x}\bigr)^{2n+1}}{(2n+1)!}[/tex]! Amazing, huh?
Now, we find the derivative of the function by using the chain rule:
[tex]\displaystyle \frac{d}{dx}\sin\biggr(\frac{1}{1+e^x}\biggr)=\frac{d}{dx}\biggr(\frac{1}{1+e^x}\biggr)*\cos\biggr(\frac{1}{1+e^x}\biggr)=-\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]
You didn't specify if you just wanted the derivative of the series to be a function or a series, so I'm going to assume you want the function. Let me know if there's more to your problem.
The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?
Answer:
46.77 cm
Step-by-step explanation:
Perimeter of the semicircle = Circumference + 2r
πr + 2r = r (π + 2)9.1 (3.14 + 2)9.1 (5.14)46.77 cmThe hypotenuse of a right triangle measures 6 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The measure of the other leg of the triangle is 5.1961 units.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Let the length of the other leg can be represented by x.
Given the hypotenuse of a right triangle measures 6 cm and one of its legs measures 3 cm. Therefore, the measure of the other legs can be written as,
Hypotenuse² = 3² + x²
6² = 3² + x²
36 = 9 + x²
x² = 27
x = √27
x = 5.1961
Hence, the measure of the other leg of the triangle is 5.1961 units.
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check the attachment please. I also need to know the value of y
Answer:
Angle MBR = 31°
y = 14
Step-by-step explanation:
There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.
59 + y + 17 = 90
add.
76 + y = 90
subtract 76.
y = 14
Then you can find Angle MBR:
y + 17
= 14 + 17
= 31
Alternatively, you could find MBR first and then find y. It comes out the same either way.
Help please this needs to be turned in tommorrow soo im trying to rush and when i rush i cant focus
Answer: Hello! Hope this helps.
Step-by-step explanation: 6 - 7x/2
So its the first answer.
PLease Help its a math problem see image attached i am struggling with this
Answer:
f(x) = (x+5)^2-1
Step-by-step explanation:
In a class of 30 students, 13 of them are boys. What percentage of the class are girls? Give your answer to 1 decimal place.
Answer: 56.7%
Step-by-step explanation:
1) First we need to find the number of girls out of the class of 30:
30-13 = 17 -> 17 girls in the class
2) Then we can set up a part-whole equation like this (I don't know if this is how you learned it, I recommend searching up "part whole percent" if you're confused):
[tex]\frac{17}{30} \frac{x}{100}[/tex] it follows this template: [tex]\frac{part}{whole} \frac{percent}{100}[/tex]
Since we're trying to find the percent and the problem gives us the rest of the info (by the way, that 100 will always stay there, it will never change)
3) Then we cross multiply
17 x 100 = 1700
1700/30 = 56.6666666
4) And since the answer has to be in the 1 decimal place, it would be 56.7
So that means approximately 56.7% of the class are girls
which figures appear to be congruent
A) 1,4
B) 1,4 and 5
C) 1 and 5
D) 4 and 5
Answer:
Explain your answer C) 1 and 5
In the diagram below, perpendicular lines e and g are intersected by line f. Based on the angle measures in the diagram, what is the value of x?
Answer:
x = 43
Step-by-step explanation:
the angle in the triangle is vertically opposite 47° and is congruent
the sum of the 3 angles in the triangle = 180° , then
90 + 47 + x = 180
137 + x = 180 ( subtract 137 from both sides )
x = 43
Question 4 (1 point)
(01.01)
Evaluate 48 + 24 = 8-22. (1 point)
O a
ob
51
c
Od
the answer is A 47
Step-by-step explanation:
48+24÷8-2²
48+3-2²
48+3-4
=47
hope it helps!
A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation 23 + 6,2 - 27x= 140 can be used to find x. Height: (x+9) in. Width: (2 - 3) in Length: xin. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. O The length is 7 inches, the width is 4 inches, and the height is 16 inches. O The length is 5 inches, the width is 2 inches, and the height is 14 inches. O The length is 4 inches, the width is 1 inch, and the height is 13 inches. O The length is 3 inches, the width is O inches, and the height is 12 inches.
For this case we have the following equation for the volume:
[tex]x^3+6x^2-27x=140 < br/ >[/tex]
Rewriting the equation we have:
[tex]x^3+6x^2-27x=140=0 < br/ >[/tex]
We factor the equation to find the roots of the polynomial.
We have then:
[tex](x-5)(x+4)(x+7)=0 < br/ >[/tex]
Then, we discard the negative roots, because the dimensions of the figure must be positive.
We have then that the length is:
[tex]x=5 < br/ >[/tex]
The height is:
[tex]x+9=5+9=14 < br/ >[/tex]
The width is:
[tex]x-3=5-3=2 < br/ >[/tex]
Thus, the dimensions are:
[tex]5*14*2 < br/ >[/tex]
Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
You are investing $1500 at 6.2% compounded annually. How much money will you have in 12 years?
Answer:
$3087.35
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $1500r = 6.2% = 0.062n = 1t = 12 yearsSubstituting given values into the equation and solving for A:
[tex]\begin{aligned}\sf A & =\sf P \left(1+\frac{r}{n}\right)^{nt}\\\\\implies \sf A & = \sf 1500\left(1+\frac{0.062}{1}\right)^{1 \times 12}\\\\& = \sf 1500(1.062)^{12}\\\\& = \sf \$ 3087.35 \: (nearest\:cent)\end{aligned}[/tex]
Susan bought gas for her car,the gas cost 2.79 per gallon susan bought 15.4 gallons,what was the total cost for susans gas
Which of the following inequalities matches the graph?
Answer:
6x - y < -3
Step-by-step explanation:
When graphing inequalities:
< or > = dashed line
≤ or ≥ = solid line
< or ≤ = shade below the line
> or ≥ = shade above the line
Create an equation for the line
Choose 2 points on the line:
let (x₁, y₁) = (-1, -3)let (x₂, y₂) = (0, 3)Calculate the slope:
[tex]\sf \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-3)}{0-(-1)}=6[/tex]
Determine the equation for the line using the point-slope formula:
[tex]\implies\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-(-3)=6(x-(-1))[/tex]
[tex]\implies \sf y+3=6(x+1)[/tex]
[tex]\implies \sf y=6x+3[/tex]
As the shading is above the line:
⇒ y > 6x + 3
Compare with answer options
Rearrange each answer option to make y the subject:
Option (a)
-6x + y < 3
⇒ y < 6x + 3
Option (b)
6x + y < 3
⇒ y < -6x + 3
Option (c)
6x - y < -3
⇒ -y < -6x - 3
⇒ y > 6x + 3
Therefore, as option C matches the calculated inequality, the answer is
6x - y < -3
Answer:
6x - y < 3
Step-by-step explanation:
Finding the equation of the inequality :
Slope :
⇒ m = 3 - (-3) / 0 - (-1)
⇒ m = 6/1
⇒ m = 6
Y-intercept :
⇒ (0, 3)
Equation :
⇒ y = 6x + 3
Here :
⇒ Above the origin, so it is greater than ( > )
⇒ y > 6x + 3
⇒ 6x - y < 3
Please help and answer has an exponent
awnser pls quickly :)))
Answer:
P': (5,3)
Q': (10,3)
R': (3,10)
Step-by-step explanation:
what is the answer to this question?
Answer:
y = 96
Step-by-step explanation:
given that y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
to find k use the condition when y = 24 , x = 2 , then
24 = k × 2² = 4k ( divide both sides by 4 )
6 = k
y = 6x² ← equation of proportion
when x = 4 , then
y = 6 × 4² = 6 × 16 = 96
Melvin plays tennis and swims for a total of 110 minutes every day. He plays tennis for 40 minutes longer than he swims. Part A: Write a pair of linear equations to show the relationship between the number of minutes Melvin plays tennis (x) and the number of minutes he swims (y) every day. (5 points) Part B: How much time does Melvin spend swimming every day? Show your work. (3 points) Part C: Is it possible for Melvin to have spent 70 minutes playing tennis if he plays and swims for a total of exactly 110 minutes and plays tennis for 40 minutes longer than he swims? Explain your reasoning. (2 points)
Answer:
See below
Step-by-step explanation:
Part A:
⇒ Y represents the amount of swimming
⇒ X represents the amount of tennis
Now, creating to equations:
y + 40 = xx + y = 110Part B:
⇒ First equation is substituted for X in the other equation.
Gives us the plug in:
y + 40 + y = 1102y = 70⇒ Y = 35 minutes of swimming
⇒ Adding :
35 + 40 = 75 minutes of swimming per day.
Part C:
No, due to the equation ⇒ 70 + (70 - 40) = 100
Therefore, making this statement impossible.
1) Find the volume of the rectangular pyramid below.
21 cm
1 cm
29 cm
Answer:
3349.5 [tex]cm^{3}[/tex]
Step-by-step explanation:
see image
can someone help me with this 10th grade sector problem? This is 10th grade geometry, I will reward brainliest! Also please show your work!
Answer:
841854.7 ft²
Explanation:
[tex]\sf Formula \ for \ area \ of \ sector = \dfrac{\theta}{360 } \ x \ \pi r^2[/tex]
Here given:
θ = 60°radius (r) = 1268 ftHence solve for area of sector:
[Insert values]
[tex]\rightarrow \sf \dfrac{60}{360 } \ x \ \pi (1268)^2[/tex]
[simplify]
[tex]\rightarrow \sf 841854.6778[/tex]
[round to nearest tenth]
[tex]\rightarrow \sf 841854.7[/tex]
Answer:
841,854.7 ft²
Step-by-step explanation:
The area of the sector can be found using the appropriate area formula. The central angle in radians is required.
A = 1/2r²θ . . . . where r is the radius, and θ is the central angle in radians
__
The 60° angle corresponds to 60° × π/180° radians, or π/3 radians. The area of the 60° sector is then ...
A = 1/2(1268 ft)²(π/3) = 803912/3π ft² ≈ 841,854.7 ft²
Devin does not have to plow an area of about 841,854.7 square feet.
__
Additional comment
At 43560 ft² per acre, that's about 19.3 acres.
What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?
The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
Meaning of a CircleA circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same point.
The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.
In conclusion, The equation of the circle is : [tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 6.4[tex]x[/tex] + 4.2[tex]y[/tex] = 3.84
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chef johnson used 4 1/2 of flour to make 4 fruitcakes. How many cups of flour are needed for 1 fruitcake
Answer:
1 1/8 cups of flour
Step-by-step explanation:
hi!
If Chef Johnson needs 4 1/2 cups of flour to make 4 fruitcakes and he wants to make one, he has to divide the recipe by 4. 4 1/2 / 4= 1 1/8
What is the area of this quadrilateral?
41
3 ft
10 ft
10 ft
3D
4 ft
O A. 30 square feet
O B. 36 square feet
O c. 42 square feet
O D. 12 square feet
Answer:
42 square feet
Step-by-step explanation:
10 ×3= 30
4×3=12 divided by two =6 ×2= 12
(multiply because there are two triangular ends)
12+30=42