Answer:
[tex]p = \frac{25}{4}[/tex]
Step-by-step explanation:
Given
[tex]x\² - 5x + p[/tex]
Required
Find p, such that the expression is a perfect square
Write out the coefficient of x
Coefficient = -5
Next step is to divide the coefficient of x by 2
[tex]Result = \½(-5)[/tex]
Take the square of the above expression to give p
[tex]p = (\½(-5))\²[/tex]
[tex]p = (\½(-5) * (\½(-5)[/tex]
[tex]p = \½ * \½ * (-5) * (-5)[/tex]
[tex]p = \¼(25)[/tex]
[tex]p = \frac{25}{4}[/tex]
Substitute 25/4 for p in the given expression
[tex]x\² - 5x + p[/tex] becomes
[tex]x\² -5x + \frac{25}{4}[/tex]
Expand the above expression
[tex]x\² - \frac{5x}{2} - \frac{5x}{2} + \frac{25}{4}[/tex]
Factorize
[tex]x(x - \frac{5}{2}) - \frac{5}{2}(x - \frac{5}{2})[/tex]
[tex](x - \frac{5}{2})(x - \frac{5}{2})[/tex]
[tex](x - \frac{5}{2})\²[/tex]
Hence, the value of p is [tex]p = \frac{25}{4}[/tex]
Find the perimeter of the following rectilinear figure.
Answer:
54
Step-by-step explanation:
see attached
Urgent Help. The circle shown above has a radius of 5 units
Area enclosed in [tex] 2\pi[/tex] radians =$\pi r^2$
so area enclosed in $\theta$ radians=$\theta \times \frac{\pi r^2}{2\pi}= \frac{1}2\theta r^2$
does this answer your question?
===================================================
Explanation:
2pi radians is equal to 360 degrees.
The shaded region has a central angle 2pi/5 radians
Divide 2pi/5 over 2pi to end up with 1/5. The "2pi" terms cancel.
The shaded region is 1/5 of the full circle.
The full circle area is pi*r^2 = pi*5^2 = 25pi square units
Taking 1/5 of that leads to (1/5)*25pi = 5pi which is the area of the shaded region.
Geometry, please answer question ASAP
9514 1404 393
Answer:
D. 5.4
Step-by-step explanation:
The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.
SU = UP/2 = 3.6/2 = 1.8
The length of PS is ...
PS = PU +US = 3.6 +1.8
PS = 5.4
__
Additional comment
If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.
find the radius of a circle for which an arc 6 cm long subtends an angle of 1/3 radians at the center?
plz some one can help to solve the question??
Step-by-step explanation:
Eueydhhdgdgdbdbddbdbhd
Answer:
Hello,
[tex]R=\dfrac{18}{\pi}\ (cm)[/tex]
Step-by-step explanation:
[tex]Formula: \ L=\theta*R\\[/tex]
[tex]R=\dfrac{6}{\dfrac{\pi}{3} } =\dfrac{6*3}{\pi} =\dfrac{18}{\pi}\ (cm)[/tex]
The area of a rectangle is x^2 + 4x - 5. If we factored this out, we would get the lengths and widths of the sides of the rectangle. For what value(s) of x would these side lengths not make any sense? Why?
Answer:
If X ≤ 1, these side lengths has no sense.
Step-by-step explanation:
We can factored the expression X² + 4X - 5 in a expression in the form:
(X+a) (X+b)
Where a*b = -5 and a+b = 4
That means a could be 5 and b = -1:
(X+5) (X-1)
The side lenghts of the rectangle will not have any sense if ≤ 0. With the factored expression:
(X+5) ≤ 0 ; If X ≤ -5, these side lengths has no sense.
Also:
(X-1) ≤ 0; If X ≤ 1, these side lengths has no sense.
Both expressions are resumed in:
If X ≤ 1, these side lengths has no sense.Which of the following has all the justifications Kelsey used to solve this equation?
(9th grade Algerbra 1)
Based on the graph of the trigonometric function,
what is the period?
Answer:
[tex]\displaystyle 4[/tex]
Explanation:
[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
You will need the above information to help you interpret the graph. So, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-5, 0],[/tex] from there to [tex]\displaystyle [-1, 0],[/tex] they are obviously [tex]\displaystyle 4\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 4.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Julissa is thinking about getting her Master’s degree. She will give up making $28,000 a year for the 2 years it takes to complete the program. She will also pay $34,000 in total costs to get the degree. Assuming that she will make $60,000 a year after she completes her degree, how long will it take for her to recover her investment?
Answer:
1.5 years
Step-by-step explanation:
She will give up making $28,000 per year for 2 years. This means that she will give up making $56,000 in total.
$28,000 × 2 = $56,000
She also pay $34,000 in total to costs to get her degree. She invested a total of $90,000.
$56,000 + $34,000 = $90,000
After graduating, she makes $60,000 a year. It will take her 1.5 years to recover her investment.
90,000/60,000 = 1.5
Find four consecutive integers such that twice the 3rd number decreased by the second number
is 8
Answer:
5, 6, 7, 8
Step-by-step explanation:
Let x represent the 2nd number. Then x+1 represents the third number, and the given relation is ...
2(x+1) -x = 8
x +2 = 8
x = 6
So, the numbers are 5, 6, 7, 8.
_____
Check
2(7) -6 = 8 . . . . true
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 2y = -18
4x + 2y = -18
2x + y = -9
y = -2x - 9
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
-7.5 and 5.4
Answer:
Step-by-step explanation:
m
Bruno is designing his next skateboard. The skateboard store has 3 types of grip tape, 13 types of decks, 7 types of trucks, 4 types of bearings, and 2 types of wheels. How many different skateboards can Bruno create? Assume each skateboard will contain only one type of each component.
Answer:
2184 different combinations
Step-by-step explanation:
To find how many different combinations are possible, multiply all of the values:
3 * 13 * 7 * 4 * 2 = 2184 different combinations
Answer:
2,184 different skateboards.
Step-by-step explanation:
You would have to multiply
3 x 13 x 7 x 4 x 2 = 2184
If it helps you then please mark it as brainliest!
Two angles are adjacent and form an angle of 160. Their difference is 34. Find the angles
Answer:
The angles are 63 , 97
Step-by-step explanation:
Let one angle be x
As sum of two angles is 160, the other angle = 160 - x
Their difference = 34
x - [160- x] = 34
Use distributive property to remove the brackets
x - 160 + x = 34
Add like terms
x + x - 160 = 34
2x - 160 = 34
Add 160 to both sides
2x = 34 + 160
2x = 194
Divide both sides by 2
2x/2 = 194/2
x = 97°
One angle = 97°
Other angle = 160 - 97 = 63°
Suppose the population of a country is 100 people: 40 work full-time, 20 work half-time but would prefer to work full-time, 10 are looking for a job, 10 would like to work but are so discouraged they have given up looking, 10 are not interested in working because they are full-time students, and 10 are retired. What is the number of unemployed
Answer:
10
Step-by-step explanation:
Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.
In the expression 3x2 + y -5, which of the following terms does not have a variable?
A.3x2
B. y
A
C. -5
D. None of these choices are correct.
Answer:
A, C
Step-by-step explanation:
Only B is containing a variable .
The -5 is not variable.
We have given that,
A.3x2
B. y
A
C. -5
In the expression 3x^2 + y -5
We have to determine which of the following terms does not have a variable.
What is the variable?
variable, In algebra, a symbol stands in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Only C contains a variable.
The -5 is not variable.
To learn more about the variable visit:
https://brainly.com/question/2804470
#SPJ2
Can y’all please help me I need this done before 4:00 if y’all help me I’ll give y’all sum
Answer/Step-by-step explanation:
1. The linear equation, [tex] y = mx + b [/tex] represents that of a straight line, where,
(x, y) is the coordinate pair of any point on the line,
m = slope, and
b = the y-intercept
2. Area of rectangle and parallelogram can be found using [tex] A = bh [/tex]
3. r stands for radius in the equation for circumference of a circle. It is half of the diameter of a circle.
4. Total surface area of a prism can be calculated using, [tex] Ph + 2B [/tex], where,
P = perimeter of the base of the prism
h = height of prism
B = base area of the prism
5. Formula for the Pythagorean theorem is given as [tex] a^2 + b^2 = c^2 [/tex], where,
a, b, and c are sides of a right triangle, however, c is the hypotenuse or the longest side.
6. Types of interest we solve for are simple and compound interest
7. h, in the area of a triangle (½*b*h) stands for height of the triangle.
8. The two formula for solving for circumference of a circle are C = 2πr or C = πd (note: radius is half of the diameter of a circle)
9. Formula for finding slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where, [tex] (x_1, y_1), (x_2, y_2) [/tex] could be any two coordinate pairs on the line.
10. Surface area of a cylinder is given as 2πrh, where,
r = radius
h = height of cylinder
11. d represents diameter of circle in C = πd
12. The word, "linear", means a straight line, or along a straight line.
PLS HELP ASAP!!
Solve the inequality for 0
√2sinx+√2cosx>0
a. 0
b. 3π/4
c. 0
d. 0
Answer:
2
Step-by-step explanation:
w
In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new farmers and wants to know if there is a statistically significant increase in the percentage of good fruit. In a random sample if 475 pieces, 85 were bad. How would the conclusion change if the significance level went from 7% to 5%?
Answer:
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.
Step-by-step explanation:
79% of the fruit sold at Fred's Fruit stand has been any good. Test if there has been an increase.
At the null hypothesis, we test if there has been no increase, that is, the proportion is still of 79%, so:
[tex]H_0: p = 0.79[/tex]
At the alternative hypothesis, we test if there has been an increase, that is, more than 79% being good, so:
[tex]H_1: p > 0.79[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.79 is tested at the null hypothesis:
This means that [tex]\mu = 0.79, \sigma = \sqrt{0.79*0.21}[/tex]
In a random sample if 475 pieces, 85 were bad.
So 475 - 85 = 390 were good, and:
[tex]n = 475, X = \frac{390}{475} = 0.8211[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8211 - 0.79}{\frac{\sqrt{0.79*0.21}}{\sqrt{475}}}[/tex]
[tex]z = 1.66[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.8211, which is 1 subtracted by the p-value of Z = 1.66.
Looking at the z-table, z = 1.66 has a p-value of 0.9515.
1 - 0.9515 = 0.0485
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.
find the transpose of matrics.
Q=[789]
Answer:
[7]
[8]
[9]
Step-by-step explanation:
according to your question
your answer is
[7]
[8]
[9]
you must be write this answer in one bracket
there are 63 students marching in a band, and they're marching in 7 rows how many students are in each row
Answer:
9 people per row
Step-by-step explanation:
63/7=9
let me now if right
Given f (x) = -x + 2, find f(0).
Answer:
f(0) =2
Step-by-step explanation:
f (x) = -x + 2
Let x = 0
f(0) = -0+2
f(0) = 2
Answer:
f(0) = 2
Step-by-step explanation:
Substitute x = 0 into f(x)
f(0) = - 0 + 2 = 0 + 2 = 2
find the positive square root upto 3 decimal points of 3
Answer:
1.732050808
Step-by-step explanation:
9.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 15
A. 3, –5
B. 3.74, 4
C. 4, –4
D. 15, –17
Answer:
x = 3 , x = -5
Step-by-step explanation:
Given x^2 +2x=15 add 1 to both sides to get:
x^2 + 2x + 1 =16
(x+1)^2 = 16
x + 1 = ± [tex]\sqrt{16}[/tex] = ± 4
x = -1 ± 4
x = 3 or x = -5
what is the product of (3 + x) and (2x – 5)
Answer:
2x² + x - 15
Step-by-step explanation:
(3 + x)(2x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
3(2x - 5) + x(2x - 5) ← distribute both parenthesis
= 6x - 15 + 2x² - 5x ← collect like terms
= 2x² + x - 15
What is the value of x in the equation 3x-4y =65, when y = 4? i will gift brainliest
Answer:
3x-4y=65
3x=65+4y
x=(65+4y)/3, when y=4
x=(65+4*4)/3
x=(65+16)/3
x=81/3
x=27
Answer:
x = 27
Step-by-step explanation:
3x - 4y = 65
Let y= 4
3x - 4(4) = 65
3x -16 = 65
Add 16 to each side
3x-16+16 = 65+16
3x = 81
Divide by 3
3x/3 =81/3
x=27
please solve part c.d.e and f
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Please help quickly!!
A truck is driving up a hill with a 24% grade, so it climbs 24 feet vertically for every 100 feet horizontally.
What is the slope of the hill?
Answer:
6/25
Step-by-step explanation:
rise / run
24/100 = 6/25
Answer:
[tex]\frac{6}{25}[/tex]
Step-by-step explanation:
The slope of any relationship is always rise over run. This means the vertical distance traveled over the horizontal distance traveled will get us our slope.
We travels 24 feet vertically for every 100 feet horizontally, so:
[tex]\frac{24}{100}[/tex].
We can simplify this fraction to find the slope in fraction form.
[tex]\frac{24\div4}{100\div4} = \frac{6}{25}[/tex]
So the slope of this equation is [tex]\frac{6}{25}[/tex].
Hope this helped!
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Hope this can help you.
Answer:
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Step-by-step explanation:
Can someone plz help me
Answer:
37500
Step-by-step explanation:
pattern is multiplying by -5.
-7,500*-5 = 37,500
Have a nice day! :-)
PLZZZ HELPPP!! And also plz explain how to do this too me!! Which of the following numbers listed below are solutions to the equation below check all that apply. √s^2 = s
Answer:
option E is the correct answer
Answer:
A and B
Step-by-step explanation:
When S is positive S equals itself but when S is a negative number S turns postive
Example of positive is √7^2=7
example of negative number for S is √-9^2=9 NOT -9