−5x+2y=9
y=7x
for substitution
The value of x from the equation is 1
The value of y from the equation is 7
How to calculate the value of x and y ?-5x+2y= 9............equation 1
y= 7x...............equation 2
Substitute 7x for y in equation 1
-5x + 2(7x) = 9
-5x + 14x= 9
9x= 9
x= 9/9
x= 1
Substitute 1 for x in equation 2
y= 7x
y= 7(1)
y= 7
Hence the value of x is 1 and the value of y is 7
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which type of angle pair are
1.) Obtuse
2.) Linear pair
3.) Complementary angles
4.) Vertical angles
Answer:
3
Step-by-step explanation:
find the value of x
please help me out here ill do anything
Answer:
let's find the value of x:
4)
10x=6(5)10x=30x=35)
9(x+4)=8(8+10)9x+81=1449x=63x=76)
y^2=2(2+9)y^2=2×11y^2=22y=√(22)y= 4.69 or 4.7pls answer w work/equation explained sooonnn
Answer:
15.5 in
Step-by-step explanation:
To find diameter from circumference, divide circumference by π
48.67/3.14=15.5
Is -3 contraction or expansion in geometry
Answer:
no
Step-by-step explanation:
HELP, i’m not good a triangles
Answer:
B
Step-by-step explanation:
SSS stand for Side Side Side, so the truangle must identify all it's sides. To identify sides it uses lines through the side like in B where 1 side has 1 line, 1 side has 2 lines, and the other side has 3 lines. That is the side identifiers, and because each side in B matches with 1 side in A, means that A and B are congruent because they have the same sides, so SSS.
This is confusing to explain, if you have any questions post them in the comments.
how to subtract a whole number from a mixed fraction?
Find the length of BC¯¯¯¯¯¯¯¯ A. 53.68 B. 48.21 C. 66.35 D. 28.34
Answer:
A 53.68
Step-by-step explanation:
tan54° = BC/39
BC = tan 54° x 39
BC = 53.68
Answer:
A. 53.68
Step-by-step explanation:
Devi scored 66 marks for her first class test and
72 marks for her second class test. What is the
minimum mark she must score for her third class
test to meet her target of obtaining an average of
75 marks or more for the three tests?
Answer:
She must score an 87 to obtain an average of 75.
Step-by-step explanation:
(66+72+x) / 3 = 75
x = 87
please this is due tomorrow
Answer:
289m = 2,890dm
Step-by-step explanation:
you multiply the meters by 10
Graph the solution to this inequality on the number line.
A graph of the solution to this inequality on the number line is shown in the image attached below.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical values and variables in an algebraic equation based on any of the following inequality symbols:
Less than or equal to (≤).Greater than (>).Greater than or equal to (≥).Less than (<).How to graph the inequality?In this exercise, we would solve the given inequality by making x the subject of formula as follows;
-x/4 + 2/3 ≤ -1/2
By subtracting 2/3 from both sides of the inequality, we have the following:
-x/4 + 2/3 - 2/3 ≤ -1/2 - 2/3
-x/4 ≤ -1/2 - 2/3
x ≥ 14/3.
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Solve for the missing side using multi-step trigonometry.
In triangle ABC, a perpendicular bisector AD is drawn on BC. We can see that triangle ABD and triangle ACD are right-angled triangles. The missing side x is 9√3/4.
Describe Triangles?A triangle is a three-sided polygon with three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified in several ways based on their sides and angles.
There are also several important properties of triangles, such as the Pythagorean theorem which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse). Triangles also have several geometric formulas associated with them, such as the area formula (1/2 * base * height) and the perimeter formula (sum of all sides). Triangles are an important concept in geometry and have many practical applications in fields such as engineering and physics.
In triangle ABC, a perpendicular bisector AD is drawn on BC. We can see that triangle ABD and triangle ACD are right-angled triangles.
Using trigonometry, we can write the following equations:
sin(60) = BD/AB (Using triangle ABD)
cos(60) = CD/AC (Using triangle ACD)
We know that AB = x and CD = 3. We need to find x.
Rearranging the first equation, we get:
BD = AB * sin(60)
Substituting the value of BD in the second equation, we get:
cos(60) = CD/AC
cos(60) = 3/2BD
cos(60) = 3/2(AB * sin(60))
cos(60) = 3/2(x * √3/2)
cos(60) = 3√3/4x
Multiplying both sides by 4x/3√3, we get:
4x/3√3 * cos(60) = 3
Simplifying, we get:
x = 9√3/4
Therefore, the missing side x is 9√3/4.
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five more than three times a number is 26 what is the number
Answer:
The required number is 7
Step-by-step explanation:
Let a number = x
We are given the condition: five more than three times a number is 26
We need to find the number.
Writing the condition in mathematical form:
five more than three times a number is 26: \(3x+5=26\)
Now, solving this equation we can find x, the number
\(3x+5=26\\\)
Subtract 5 from both sides
\(3x+5-5=26-5\\3x=21\)
Divide both sides by 3
\(\frac{3x}{3}=\frac{21}{3}\\x=7\)
So, we get: x = 7
The required number is 7
in a park, 25 children play every day in the evening. 12 children like to play cricket, 8 like to play football and 4 like to play soccer. how many children in the park do not like to play either cricket or football or soccer?
There is only one child in the park who does not like to play either cricket or football or soccer.
Additionally, you should ignore any typos or irrelevant parts of the question .Here's how you can solve the given problem :Given that ,In a park, 25 children play every day in the evening.
12 children like to play cricket.8 children like to play football.4 children like to play soccer.Total children who like to play either of these three sports = \(12 + 8 + 4 = 24.\)
Therefore, the number of children who do not like to play any of these sports = Total number of children - Number of children who like to play any of these sports= \(25 - 24= 1\).
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write the equation of the line that passes through the points (-1, 2) and (6,3) in slope-intercept form
Answer:
y=(1/7)*x+(15/7)Step-by-step explanation:
first, lets find the slope:
m=(y2-y1)/(x2-x1)
m=(3-2)/(6-(-1))
m=1/7
y=(1/7)*x+b
to find b lets pug in a point we know into the equation:
3=(1/7)*6+b
21/7=6/7+b
b=(21/7)-(6/7)
b=15/7
now we know the equation in slope intercept form representing this function is:
y=(1/7)*x+(15/7)
Answer:
y= 1/7x+15/7
Step-by-step explanation:
points
(-1, 2) and (6, 3)
slope intercept form:
y= mx+b2= -m+b, 3= 6m+b ⇒ m= 1/7 ⇒ b= 2 1/7= 15/7
y= 1/7x+15/7What are the 4 capital letters of the alphabet in block style with rotational symmetry?
The four capital letters of the alphabet in block style with 180-degree rotational symmetry are H, I, O, and X
The four capital letters of the alphabet that have rotational symmetry of 180 degrees and can be written in block style are H, I, O, and X. These letters have a vertical and horizontal line of symmetry that divides them into two identical halves, and when rotated 180 degrees, they appear exactly the same as their original orientation.
The letter H has two vertical lines that bisect it horizontally, creating four identical quadrants. The letter I has a vertical line of symmetry running through the center, creating two identical halves. The letter O has a circular shape that is symmetric around its center, and the letter X has two diagonal lines of symmetry that intersect at its center, creating four identical quadrants.
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The given question is incomplete, the complete question is:
What are the 4 capital letters of the alphabet in block style with 180 degree rotational symmetry?
Which expression is equivalent to
30 - 20 ÷ x ⋅ 4?
30 - 20 ÷ (x ⋅ 4)
30 - (20 ÷ x) ⋅ 4
(30 - 20) ÷ x ⋅ 4
(30 - 20 ÷ x) ⋅ 4
Answer:
30 - (20 ÷ x) ⋅ 4
Step-by-step explanation:
What decimal is equivalent to 15%
Answer:
0.15 is the right answer
Answer:
0.15
Step-by-step explanation:
15% is equivalent to the decimal 0.15. Notice that dividing by 100 moves the decimal point two places to the left.
Is it possible to construct a triangle with side lengths of 3, 6, and 9 units? If not, explain why not
no; 9+6>3
O no: 6+39
no, 3+946
yes
Answer:
no: 6+3 = 9
Step-by-step explanation:
In order to construct a triangle with given side lengths, sum of any two side length must be greater than the third side length.
Here we can see that:
6 + 3 = 9, which is defying the required condition.
Hence, it is not possible to construct a triangle with side lengths 3, 6, and 9 units.
ASAP I NEED ANSWERS PLEASE
Select the correct answer:
What is the equation of the parabola shown with its focus on this graph
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
\(y^2 = x^8 -7.8x-9,=.43y\)
and y = 8
x = 59
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A hiker walks 5 km/hr, how long does it take him to walk 48 km?
Answer:
\(\sf 9.6\:hours \:\: or \:\: 576\: minutes\)
Explanation:
\(\sf Time \ taken : \dfrac{Distance}{Speed}\)
Here given:
distance: 48 kmspeed: 5 km/hourApplying formula,
\(\sf Time \ Taken = \dfrac{48}{5} = 9.6 \ hours = 576 \ minutes\)
Question 3 (1 point)
Which story represents the equation 9+
1
= 182
2
Оа Luke has 9 granola bars and wants to divide them equally to share with his friends. He wants to give each friend 1/2 of a granola
bar. How many of Luke's friends will get granola?
Oь Mario ordered 9 pizzas and wants to divide the pieces equally on plates. He wants to put 2 pieces of pizza on each plate. How
many plates will Mario need in all?
O Lucky has 1/2 of a box of brownies and wants to divide it equally among 9 family members. What fraction of the brownies will
each family member receive?
Step-by-step explanation:
9 + 1 = 182 ?????
they must be some mistakes in typing here.
I have no clue what you actually have here.
let's look at the 3 situations in the provided answer options, and then you can decide, which applies.
Oa
9 granola bars. each friend gets 1/2 bar.
when we break 1 bar in half, we get 2 halves.
now we break 9 bars in half, so we do this 9 times.
that means we get 9×2 = 18 halves.
so, 18 friends get half a bar.
there would be an equation like
9 / 1/2 = 18
Ob
9 pizzas. I assume each pizza has 8 slices.
so, we have 9×8 = 72 slices.
now we put out of these 72 slices 2 slices per plate.
so, we need 72/2 = 36 plates.
please adapt the calculation and replace 8 by the actual number of slices, if I misunderstood.
the equation here would be something like
9×8/2 = 36
Oc
1/2 box of Britain's is distributed equally to 9 people.
that means we need to divide 1/2 by 9.
1/2 / 9 = 1/2 / 9/1 = 1/2 × 1/9 = 1/18.
remember, when dividing by a fraction it is the same as multiplying with the upside-down fraction.
so, each family member gets 1/18 of the box.
the equation here would be something like above
1/2 / 9 = 1/18
Can someone please help me with this problem?
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-
Perform the indicated operation: 5[cos (340°) + i sin (340°)]* 6 [ cos (253) + i sin (253)] Give your answer in trigonometric form, with 0 < theta < 360
5[cos (340°) + i sin (340°)]* 6 [ cos (253) + i sin (253)] in trigonometric form is 30[cos(233°) + i sin(233°)] .
5[cos(340°) + i sin(340°)] * 6[cos(253°) + i sin(253°)]
Using the properties of complex numbers and trigonometric identities, we can simplify this expression
= 5 × 6 [cos(340° + 253°) + i sin(340° + 253°)]
= 30 [cos(593°) + i sin(593°)]
Since 0° < θ < 360°, we can express 593° as 593° - 360° = 233°:
= 30 [cos(233°) + i sin(233°)]
Therefore, the result of the operation is 30[cos(233°) + i sin(233°)] in trigonometric form.
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A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel—emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The following table gives the resulting data and the JMP output of a two-way ANOVA of the data. Emergency Condition Display Panel 1 2 3 4 A 17 25 31 14 14 24 35 13 B 15 22 28 9 12 19 31 10 C 21 29 32 15 24 28 37 19 Least Squares Means Estimates Panel Estimate Condition Estimate A 21. 500000 1 17. 166670 B 18. 375000 2 24. 666670 C 25. 625000 3 32. 166670 4 13. 333300 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 11 1,480. 3333 134. 576 30. 4700 Error 12 53. 2000 4. 417 Prob > F C. Total 23 1,533. 3333 <. 0001* Effect Tests Source Nparm DF Sum of Squares F Ratio Prob > F Panel 2 2 211. 5833 23. 9528 <. 0001* Condition 3 3 1,253. 0000 94. 5660 <. 0001* Panel* Condition 6 6 15. 7500 0. 5943 0. 7298 Tukey HSD All Pairwise Comparisons Quantile = 2. 66776, Adjusted DF = 12. 0, Adjustment = Tukey Panel -Panel Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% A B 3. 12500 1. 050793 2. 97 0. 0290* 0. 3217 5. 92826 A C −4. 12500 1. 050793 −3. 93 0. 0053* −6. 9283 −1. 32174 B C −7. 25000 1. 050793 −6. 90 <. 0001* −10. 0533 −4. 44674 Tukey HSD All Pairwise Comparisons Quantile = 2. 9688, Adjusted DF = 12. 0, Adjustment = Tukey Condition -Condition Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% 1 2 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 1 3 −15. 2000 1. 213352 −12. 36 <. 0001* −18. 6022 −11. 3978 1 4 3. 8333 1. 213352 3. 16 0. 0359* 0. 2311 7. 4355 2 3 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 2 4 11. 3333 1. 213352 9. 34 <. 0001* 7. 7311 14. 9355 3 4 18. 8333 1. 213352 15. 52 <. 0001* 15. 2311 22. 4355 Click here for the Excel Data File.
a. Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B. (Round your answers to 2 decimal places. )
Without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.
To calculate a 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B, we can use the least squares means estimates provided in the JMP output.
According to the JMP output, the estimate for the mean time required to stabilize emergency condition 4 using display panel B is 10.375000.
To calculate the confidence interval, we need to find the margin of error. The margin of error can be calculated using the formula:
Margin of Error = Critical Value * Standard Error
In this case, we need to find the critical value for a 95 percent confidence interval. Since we have a sample size of 24 (as mentioned in the question), we can use the t-distribution with (24-1) degrees of freedom to find the critical value.
Looking up the critical value in the t-distribution table, with (24-1) degrees of freedom and a confidence level of 95 percent, we find that the critical value is approximately 2.064.
The standard error can be calculated using the formula:
Standard Error = Standard Deviation / √(sample size)
The standard deviation is not provided in the given information. Therefore, we cannot calculate the standard error or the confidence interval without this information.
In summary, without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.
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A figure was dilated from center O by a scale factor of r = 5. What scale factor would shrink the dilated figure back to the original size?
scale factor of 5 means it is 5 times bigger.
Suppose the figure was 100.
Now, it is,
100 * 500 = 500
To shrink it back to 100, we would need to:
500 * x = 100
note: 500 times what scale factor (x) we can multiply for it to make 100?
Now,
x = 100/500
x = 1/5
New scale factor needed is:
\(\frac{1}{5}\)Oriana has 3 identical fish tanks in the shape of rectangular prisms. Each tank is 16 inches tall, 2 feet wide. and 12 inches long. How many cubic inches will Oriana's fish tanks hold?
The cubic inches that the fish tanks will hold is 13,824 inches³.
How many cubic inches can the fish tanks hold?In order to determine the cubic inches that the fish tanks would hold, multiply the volume of one of the fish tanks by 3.
Volume of a rectangular prism = length x width x height
The feet has to be converted to inches
1 feet = 12 inches
2 x 12 = 24 inches
Volume = 16 x 24 x 12 = 4,608 inches³
Volume of the fish tanks = 4,608 inches³ x 3 = 13,824 inches³
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In C++, it is impossible to display the number 34.789 in a field of 9 spaces with 2 decimal places of precision.
1) True
2) False
False. It is possible to display the number 34.789 in a field of 9 spaces with 2 decimal places of precision in C++. One way to do this is by using the ioman ip library and the set w() and set precision() functions. For example:
c out << set w(9) << set precision(2) << fixed << 34.789;
This will output the number 34.79 in a field of 9 spaces.
To answer your question about whether it's impossible to display the number 34.789 in a field of 9 spaces with 2 decimal places of precision in C++, the answer is:
2) False
You can achieve this by using the iomanip library in C++ which provides manipulators like setw and setprecision. Here's a step-by-step explanation:
1. Include the necessary libraries: iostream and iomanip.
2. Use the setw manipulator to set the field width to 9 spaces.
3. Use the setprecision manipulator to set the precision to 2 decimal places.
4. Use the fixed manipulator to make sure the precision is in fixed format.
Here's a code snippet demonstrating this:
```cpp
#include
#include
int main() {
double number = 34.789;
std::c out << std::set w(9) << std::fixed << std::set precision(2) << number << std::end l;
return 0;
}
This code will display the number 34.789 in a field of 9 spaces with 2 decimal places of precision, like this: " 34.79".
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The slope of the tangent to the curve x² + y³ = 12 at the point when x = 2 is (a) 2/3 (b) -2/3 (c) 1/3 (d) 1 (e) none of these
The slope of the tangent to the curve x² + y³ = 12 at the point when x = 2 is
To find the slope of the tangent to the curve x² + y³ = 12 at the point when x = 2, we need to find the derivative of y with respect to x using implicit differentiation.
Taking the derivative of both sides with respect to x, we get: 2x + 3y²(dy/dx) = 0
We want to find the slope when x = 2, so we substitute x = 2 into the equation above: 2(2) + 3y²(dy/dx) = 0 4 + 3y²(dy/dx) = 0 3y²(dy/dx) = -4 dy/dx = -4/(3y²)
Now, we need to find the value of y when x = 2. Substituting x = 2 into the original equation, we get: 2² + y³ = 12 y³ = 8 y = 2 So, when x = 2, y = 2. Substituting this into the equation for dy/dx, we get: dy/dx = -4/(3(2²)) = -4/12 = -1/3
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0.745
Convert to the simplest form
Answer:
149/200
Step-by-step explanation:
745/1000 by 5 149/200