Answer:
Parallel means they have the same slope so, y=3x-8
A cylinder has a base diameter of 6 centimeters and a height of 15 centimeters. What is its volume in cubic centimeters, to the narest tenth place
The calculated volume of the cylinder is 424.3 cubic cm
How to determine the volume of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Base diameter = 6 cm
Height = 15 cm
Using the above as a guide, we have the following:
r = 6/2 = 3
h = 15
So, we have
V = πr²h
Substitute the known values in the above equation, so, we have the following representation
V = 22/7 * 3² * 15
Evaluate
V = 424.3
Hence, the volume is 424.3 cubic cm
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1. Solve the equation (x + 2) 2 – 14 = 11. Show your work.
The sοlutiοns οf the given equatiοn are x=3 and x= -7
What is the sοlutiοn tο an equatiοn?In οrder tο make the equatiοn's equality true, the unknοwn variables must be given values as a sοlutiοn. In οther wοrds, the definitiοn οf a sοlutiοn is a value οr set οf values (οne fοr each unknοwn) that, when used as a replacement fοr the unknοwns, transfοrms the equatiοn intο equality.
(x + 2)² – 14 = 11
Move 14 to the right
(x + 2)² = 11 + 14
=> (x + 2)² = 25
=> Taking square root on both sides, we get
(x + 2) =± √25 = ±5
=> x+2 = 5 and x+2 = -5
Move 2 to the right Move 2 to the right
=> x = 5-2 = 3 => x = -5-2 = -7
The solutions of the given equation are x=3 and x= -7
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Solve the system algebraically.
y = – 4x + 6
y = – 4x + 5
Answer:
We conclude that -1 = 0 is false, therefore the system of equations has no solution.
Step-by-step explanation:
Given the system of equations
y = – 4x + 6
y = – 4x + 5
solving the system of the equations
\(\begin{bmatrix}y=-4x+6\\ y=-4x+5\end{bmatrix}\)
Substitute y = -4x+5
\(\begin{bmatrix}-4x+5=-4x+6\end{bmatrix}\)
Refine – 4x + 5 = – 4x + 6
-1 = 0
FALSE!
NO SOLUTION!
We conclude that -1 = 0 is false, therefore the system of equations has no solution.
PLEASE HELP???!!!!!!!
The quadratic equation on the graph can be written as:
y = x² + 6x + 8
Which function is represented byy the graph?Remember that a quadratic equation whose vertex is (h,k) and the leading coefficient is a, can be written as:
y = a*(x - h)² + k
Here we can see that the vertex is at (-3, -1), replacing that we will get:
y = a*(x + 3)² - 1
Now we can also see that it passes through the point (-2, 0), replacing these values we will get:
0 = a*(-2 + 3)² - 1
0 = a - 1
1 = a
Then the quadratic is:
y = (x + 3)² - 1
Expanding that we get:
y = x² + 6x + 9 - 1
y = x² + 6x + 8
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What partial products can be used to find the product 3x219
Answer:
You can do (3x200)+(3x10)+(3x9) Hope it helps!
The product is 657 if you need it!
Step-by-step explanation:
a. Find the slope of x^3+y^3-65xy=0 at the points (4,16) and (16,4).
b. At what point other than the origin does the curve have a horizontal tangent line?
c. Find the coordinates of the point other than the origin where the curve has a vertical tangent line.
a. The slope of the curve at the point (4,16) is approximately 1.165, and at the point (16,4) is approximately -0.496.
b. The curve has a horizontal tangent line at the points(0,0) and (3,27).
c. The curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).
How is this so?a. To find the slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.
Differentiating the equation with respect to x, we have -
3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0
To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.
For the point (4,16) -
3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0
48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0
508(dy/dx) = 592
(dy/dx) = 592/508
(dy/dx) ≈ 1.165
For the point (16,4) -
3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0
768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0
(-992)(dy/dx) = 492
(dy/dx) = 492/(-992)
(dy/dx) ≈ -0.496
Thus, the slope of the curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.
b. To find the point where the curve has a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.
This means the slope is zero and the tangent line is horizontal.
From the derivative we obtained earlier -
3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0
Setting dy/dx equal to zero -
3x² - 65y = 0
Substituting y = x³/65 into the equation -
3x² - 65(x³/65) = 0
3x² - x³ = 0
Factoring out an x² -
x²(3 - x) = 0
This equation has two solutions - x = 0 and x = 3.
hence, the curve has a horizontal tangent line at the points(0,0) and (3,27).
c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s) where the derivative is undefinedor approaches infinity.
From the derivative -
3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0
To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.
Setting the denominator equal to zero: -
65x = 65y
x = y
Substituting this condition back into the original equation -
x³ + x³ - 65x² = 0
2x³ - 65x² = 0
x²(2x - 65) = 0
This equation has two solutions - x = 0 and x = 65/2.
Therefore, the curve has a vertical tangent line at the points (0,0)
and(65/2, (65/2)³).
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A recipe calls for 2
1 cup of ingredient A for every 1
3
2 cups of ingredient B.
You use 4 cups of ingredient A. How many cups of ingredient B do you need?
4/(1/2) = 8
8 * 1 1/3 = 8 8/3 = 10 2/3 cups of B
An airplane is at 32,000 feet above sea level
Answer:
is that the question because I'm not sure
Answer:
whats the full question
Step-by-step explanation:
1/7 to the 2nd power
The measures of the angles of △ABC are given by the expressions in the table.
The angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
Define triangles.A triangle is a closed geometric shape with three sides, three angles, and three line segments. Three non-collinear points are joined by line segments to create the simplest polygon, which has three non-collinear points.
Triangles can be categorized according to the size of their sides and angles. Triangles can be categorized as equilateral (all sides are equal in length), isosceles (both sides are equal in length), or scalene based on their sides (all sides are different in length). Triangles can be categorized as acute (all angles are less than 90 degrees), obtuse (one angle is greater than 90 degrees), or right (one angle is greater than 90 degrees) (one angle is exactly 90 degrees).
In any triangle, the sum of the three interior angles is always 180 degrees. Therefore, we can write:
a + b + c = 180
Substituting the given values, we get:
(6x-1) + 20 + (x+14) = 180
Simplifying and solving for x, we get:
7x + 33 = 180
7x = 147
x = 21
Now that we have the value of x, we can substitute it back into the expressions for the angles to find their values:
angle a = (6x-1) = (6*21-1) = 125 degrees
angle b = 20 degrees
angle c = (x+14) = (21+14) = 35 degrees
Therefore, the angles of the triangle are 125 degrees, 20 degrees, and 35 degrees.
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Y’all better help me
Answer:
x= -5
y = 11
Step-by-step explanation:
solve for x and y
use substitution method for this one cuz it is much easier
Answer:
D. x=5 and y = 11
Step-by-step explanation:
we can take the unknown number to be x and the other number to be y. so
three times the number ie 3x is 7 less than two times the other number.
3x = 2y-7 (this expression say three times a number(x) is 7 less than two times the other number.
add 7 on both sides for the above eqn.
3x+7 = 2y-7+7
3x+7 = 2y;
four times the second number that is 4y is 44. or you can say 4y = 44
the y is 11. or y = 11.
if you put this y value in 3x+7 = 2y you get x =5
This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
The wholesale price of a basketball was $10.00. The store marked it up an additional 120%. What was the sale price?
Answer:
The sale price was 54.55 but if you round it up its 55 hope i helped!
Step-by-step explanation:
Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
In 2005, the price of a guitar was $246. By 2008, the price had increased to $300. Assuming that the guitar's price increases linearly. What is the price of the guitar by 2011?
Considering the expression of a line, the price of the guitar in 2011 is $354.
Definition of linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line can be calculated using:
m= (y₂ - y₁)÷ (x₂ - x₁)
Substituting the value of the slope m and the value of one of the points, the value of the ordinate to the origin b can be obtained.
Equation in this caseBeing:
Price= m× Year + b(x₁, y₁)= (2005, 246)(x₂, y₂)= (2008, 300)the slope can be calculated as:
m= (300 - 246)÷ (2008 - 2005)
m= 54÷ 3
m= 18
Considering point 2 and the slope m, you obtain:
300= 18×2008 + b
300= 36,144 + b
300- 36,144 = b
-35,844 = b
Finally, the equation of the line is Price= 18×Year - 35,844
Now, you want to know the price of the guitar in 2011. Replacing in the linear equation, you get:
Price= 18×2011 - 35,844
Solving:
Price= 36,198- 35,844
Price= 354
In summary, the price of the guitar by 2011 is $354.
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x+5 + 2x-5 +180
what is the value of x
Answer:
60
Step-by-step explanation:
x+5 + 2x-5 + 180
3x+5-5+180
3x+5-185
3x+180
x=180÷3
x=60
5. Halle la solucion de las siguientesecuaciones.
2x + 6 = 10 + x
\(\tt{Hey~there!\)
\(\tt{2x+6=10+x\)
\(\tt{Simplify~both~sides~of~the~equation:\)
\(\tt{2x+6=x+10\)
\(\tt{Subtract~x~from~both~sides:\)
\(\tt{2x+6-=x+10-x\)
\(\tt{x+6=10\)
\(\tt{Subtract~6~from~both~sides:\)
\(\tt{x+6-6=10-6\)
\(\boxed{\tt{x=4}}\)
\(\tt{Hope~this~helps!\)
\(\boxed{\tt{-TestedHyperr}}\)
Whats the correct answer answer asap for brainlist
need help plz so can u
Nicholas and his father went fishing.
Nicholas caught a fish that weighed
14 1/2 pounds. His father caught a fish
that weighed half as much as the fish
Nicholas caught. What was the total
weight of the fish Nicholas and his
father caught, in pounds? Enter the
weight as an improper fraction.
The value of total weight of the fish Nicholas and his father caught, in pounds is,
⇒ 87/4 pounds
We have to given that;
Nicholas caught a fish that weighed 14 1/2 pounds.
And, His father caught a fish that weighed half as much as the fish Nicholas caught.
Hence, The weight of fish caught by his father is,
⇒ 14 1/2 ÷ 2
⇒ 29/2 × 1/2
⇒ 29/4
Thus, The value of total weight of the fish Nicholas and his father caught, in pounds is,
⇒ 14 1/2 + 29/4
⇒ 29/2 + 29/4
⇒ 58/4 + 29/4
⇒ 87/4 pounds
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I need help with this pleaseeeeee
Points located at each ordered pairs are:
1) (7,1) - A2) (3,0) - I3) (1,6) - W4) (3,8) - H5) (1,5) - X6) (8,0) - G7) (4,1) - J8) (0,4). - N9) (8,9) - U10) (1,1) - MThe ordered pair for each given point.
11) B - (2, 8)14) Q - (8, 7)17) F - (9, 0)12) E - (0, 0)15) Y - (7, 6)18) S - (3, 6)13) T - (3, 3)16) R - (9, 8)19) C - (6, 7)Points to plot on the coordinate grid
20) K (7,0) - 7 is the x axis and 0 is the y axis, K will be under A.22) D (8,5) - 8 is the x axis and 5 is the y axis, D will be under Q.24) V (7,2) - 7 is the x axis and 2 is the y axis, V will be above A.21) Z (2,1) - 2 is the x axis and 1 is the y axis, Z will be beside M.23) P (2,2) - 2 is the x axis and 2 is the y axis, P will be above Z.25) L (2,4) - 2 is the x axis and 4 is the y axis, L will be beside N.How to find Single Quadrant Ordered Pairs?Single quadrant ordered pairs are coordinates that lie in only one quadrant of the coordinate plane. To find single quadrant ordered pairs, follow these steps:
Identify the quadrant you want the ordered pairs to be in. For example, if you want the ordered pairs to be in the first quadrant, then the x-coordinate and y-coordinate must both be positive.
Choose a value for the x-coordinate that satisfies the condition for the quadrant you want. For example, if you want the ordered pairs to be in the first quadrant, choose a positive number for the x-coordinate.
Choose a value for the y-coordinate that satisfies the condition for the quadrant you want. For example, if you want the ordered pairs to be in the first quadrant, choose a positive number for the y-coordinate.
Write the ordered pair in the form (x, y), where x is the value you chose for the x-coordinate and y is the value you chose for the y-coordinate.
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Image transcribed:
Single Quadrant Ordered Pairs
Tell what point is located at each ordered pair.
1) (7,1)_
2) (3,0)
3) (1,6)
4) (3,8)
5) (1,5)
6) (8,0)
7) (4,1)
8) (0,4).
9) (8,9)
10) (1,1)_
Write the ordered pair for each given point.
11) B
14) Q
17) F
12) E
15) Y
18) S
13) T
16) R
19) C
Plot the following points on the coordinate grid.
20) K (7,0)
22) D (8,5)
24) V (7,2)
21) Z (2,1)
23) P (2,2)
25) L (2,4)
The decimal .28654 rounded to the nearest thousandth is ____.
Answer:
8000,I think this is right answer
Answer:
.287
Step-by-step explanation:
5 rounds up which makes the 6 a 7.
What is the ratio of the length of the longer side to the length of the shorter side?
24 in.
4ft.
option:-
\( \boxed{ \rm{B ) \: 6:1}}\)\( \: \)
Given:-
\( \rm{Length \: of \: rectangle = \bold{ 24in. \: }}\)\( \: \)
\( \rm{Breadth \: of \: rectangle = \bold{ 4ft. }}\)\( \: \)
To find:-
radio of the length of the longer side to the shorter side.\( \: \)
Solution:-
\( \rm{ratio = 24 : 4 }\)\( \: \)
\( \rm\frac{A}{B} = \frac{24}{4} \)\( \: \)
\( \cancel \frac{24}{4} \)\( \: \)
\( \frac{6}{1} \)or
\( \underline{ \boxed{ \rm \red{ \: \: 6 : 1 \: \: }}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
~How to find ratio?
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.━━━━━━━━━━━━━━━━━━━━━━━━━━━━
\( \: \)
hope it helps! :)
This shape has been made from two identical triangles
Answer:
square or rectangle
Step-by-step explanation:
Need help with 10, 11, and 12. Need help fast!!
#10. In order to find a ratio, all we need to do is set up a simple equation and then cross-multiply!
I'll show you !
In this case, we'll take the already established ration (14 : 8 ) and find the equivalent ratio where 7 is in place of 14 (7: x)
x will be the other table value we are looking for!
Now let's set up the equation and cross-multiply!
\(\frac{14}{8} = \frac{7}{x}\)
cross multiply 14 and x, then 8 and 7
We get: 14x = 56
solve to find x!
x = 56/14
x = 4 blankets
Now let's use the ratio 7: 4 to find what goes with 16 in the table!
\(\frac{7}{4} = \frac{x}{16}\)
4x = 112
x = 112/4
x = 28 towels
_________________________________________________-
#11. : Using the same method, I'll fill in the values of the table on #11
16 forks, 10 spoons
8 forks, 5 spoons,
48 forks, 30 spoons
_____________________________________________
#12. If the neighbor pays you $17 for every 2 hours of work, we need to find how many times 2 hours goes in 8 hours of work
We do this by dividing
8/2 = 4 times
2 hours of work goes into 8, 4 times!
Now we multiply 4 by $17 to find how much your neighbor owes you!
$17 × 4 = $68
Your neighbor owes you $68 !!!
Which of the following outputs from an ANOVA summary report is used to determine the significance of the F-Test?F-critT-testRegrationMedian test
The output used to determine the significance of the F-test in an ANOVA summary report is the F-critical value.
The F-test is a statistical test used to compare the variance between the means of two or more groups, and the F-critical value is the value against which the calculated F-statistic is compared to determine if the differences between group means are statistically significant or not.
The F-critical value is calculated based on the degrees of freedom and the desired level of significance or alpha level. If the calculated F-statistic is greater than the F-critical value, the null hypothesis is rejected, and it is concluded that there is a significant difference between the means of the groups being compared.
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5/12+2/3=37 I need help
Answer:
13/12=37
Step-by-step explanation:
Martin has a spinner that is divided into four sections labeled A, B, C, and D. He spins the spinner twice. PLEASE ANSWER RIGHT HELP EASY THANK UU
Drag the letter pairs into the boxes to correctly complete the table and show the sample space of Martin's experiment..
The diagram included shows the letter pairs that should go into each box to appropriately finish the table and display the sample area of Martin's experiment.
Explain about the sample space of an event?A common example of a random experiment is rolling a regular six-sided die. For this action, all possible outcomes/sample space can be specified, but the actual result on any given experimental trial cannot be determined with certainty.
When this happens, we want to give each event—like rolling a two—a number that represents the likelihood of the occurrence and describes how probable it is that it will occur. Similar to this, we would like to give any event or group of outcomes—say rolling an even number—a probability that reflects how possible it is that the occurrence will take place if the experiment is carried out.Martin features a spinner with four compartments marked A, B, C, and D.
To get the correct result of the filling, first take the value of the horizontal bar and write the value from the corresponding vertical bar where both column are meeting.
Thus, the diagram included shows the letter pairs that should go into each box to appropriately finish the table and display the sample area of Martin's experiment.
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Tony tried to define a translation.Point A maps to point A.• Every point P maps to point P'such that PP is parallel to AA and points in the same direction asAA.What mistake did Tony make in his definition of a translation?
D he hasnt a mistake
because what he says is real, there's nothing to add
dont need to mention the cener of the traslation just move
and B and C ar reals but you dont need to say
HURRYYYYYY I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
i already wasted all my points on questions nobody answered if someone answers this CORRECTLY you’re the best person ever
The function below has at least one rational zero. Use this fact to find ALL zeros of the function.
g(x)=5x^3+x^2-20^x-4
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
Answer: 4 zeros
Step-by-step explanation:
If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.
P: ±1, ±2, ±3, ±6 (all prime factors of constant term)
Q: ±1, ±7 (all prime factors of the leading coefficient)
P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7 (all possible values of P/Q)
Now, start testing your values of P/Q in your polynomial:
f(x)=7x4-9x3-41x2+13x+6
You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):
f(2)=7(16)-9(8)-41(4)+13(2)+6
112-72-164+26+6 ≠ 0
f(-2)=7(16)-9(-8)-41(4)+13(-2)+6
112+72-164-26+6 = 0 OK!! There is a zero at x=-2
This means (x+2) is a factor of the polynomial.
Now, do synthetic division to find the polynomial that results from
(7x4-9x3-41x2+13x+6)÷(x+2):
-2⊥ 7 -9 -41 13 6
-14 46 -10 -6
7 -23 5 3 0 The remainder is 0, as expected
The quotient is a polynomial of degree 3:
7x3-23x2+5x+3
Now, continue testing the P/Q values with this new polynomial. Try f(3):
f(3)=7(27)-23(9)+5(3)+3
189-207+15+3 = 0 OK!! we found another zero at x=3
Now, another synthetic division:
3⊥ 7 -23 5 3
21 -6 -3_
7 -2 -1 0
The quotient is a quadratic polynomial:
7x2-2x-1 This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:
x= (1±2√2)÷7
The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7