Complete the square to rewrite the quadratic:
2 x² + 3 x + 5 = 2 (x² + 3/2 x) + 5
... = 2 (x² + 3/2 x + 9/16 - 9/16) + 5
... = 2 (x² + 3/2 x + (3/4)²) + 5 - 9/8
... = 2 (x + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) x for which y = 0.
The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
21.2d + 12.4f
Step-by-step explanation:
Given that:
Width of rectangle = (5.5d+9.7f) centimeters
Length of rectangle = (5.1d-3.5f) centimeters
Perimeter of a rectangle : 2 (length + Width)
2 [(5.1d-3.5f) + (5.5d+9.7f)]
2[5.1d - 3.5f + 5.5d + 9.7f]
2[10.6d + 6.2f]
= 21.2d + 12.4f
Hence, the perimeter is :
21.2d + 12.4f)
A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the probability that the average height of the men in the sample is less than 70.5in?
Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]
For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.
1) m
2) m
3) m
4) m
5) m
6) m
7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units
Answer:
Step-by-step explanation:
Since ΔABC ≅ ΔXYZ,
By the property that says that "corresponding parts of the congruent triangles are congruent"
Corresponding angles (Including right angle) will be equal.
m∠A = m∠X = 180° - (90° + 37°) = 53°
m∠B = m∠Y = 90°
m∠C = m∠Z = 37°
Corresponding sides of the triangles will be equal.
AB ≅ XY = 3 units
BC ≅ YZ = 4 units
AC ≅ XZ = 5 units
The integrity of financial statement presentations and disclosures is enhanced when
a) The financial statements are audited by a CPA.
b) The financial statements are prepared in an environment that includes a strong system of internal control.
c) The financial statement preparers have the appropriate education and experience necessary.
d) All of the above.
Answer:
All of the above
Step-by-step explanation:
In this question, we want to select which of the options can enhance the integrity of financial statements preparations and disclosure.
The correct answer is the last option which is all of the above
The last option is correct because each of the individual options above it will enhance the integrity.
A financial statement with integrity is one which is audited by the CPA, prepared in an environment with strict interval control and overall the people who are in charge of preparing it are experienced people
Find x.... Figure is not drawn to scale.
Answer:
33.
Step-by-step explanation:
I assume that the 2 triangles are similar.
x/77 = 24/56
56x = 77*24
x = (77*24(/56
x = 33.
A rectangular piece of land has an area of 3/4 square mile.The land is 2 1/2 miles long what is its width
Answer:
width = 3/10 mi
Step-by-step explanation:
area = length * width
width = area/length
width = (3/4 mi^2)/(2 1/2 mi)
width = (3/4 mi^2)/(5/2 mi)
width = 3/4 * 2/5 mi
width = 6/20 mi
width = 3/10 mi
What is the solution set?
Answer: x = 1 so 1/2 - 4/1 + 8 = 0n
Step-by-step explanation:
Answer:
- 1.45
Step-by-step explanation:
what is 12 rounded off to the nearest 10
Answer:
10
Step-by-step explanation:
Since 12 is closer to 10 than 20, the nearest ten is 10, which is the answer.
Answer:
10
Step-by-step explanation:
This is the answer because:
1) We always have to look at the rounding digit (this digit is located right next to the tens digit in this problem).
2) Since the ones digit is smaller than 5, it has to round down to 10. If the digit was 5 or greater, than it would be 20.
Therefore, the answer is 10.
Hope this helps! :D
URGENT!!! I WILL GIVE BRAINLIEST!
Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.
x y
1 3
2 ?
He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?
A. 5
B.7
C.8
D.12
Paul and Seth know that one point on the line
Answer:
what
Step-by-step explanation:
In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?
Answer:
125.6 cm²
Step-by-step explanation:
Area of the shaded region = area of larger circle - area of the smaller circle
Area of the smaller circle = πr²
π = 3.14, r = 3 cm
Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²
Area of larger circle = πr²
π = 3.14, r = 7
Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²
Area of the shaded region = 153.86 - 28.26 = 125.6 cm²
y< 4x – 1
y>-8x + 5
Answer:
m=4
m: 8
Step-by-step explanation:
A river with large, smooth rocks on the bottom, small and medium sized sediment is moving downstream. Which conditions resulted in the erosion of larger rocks, like the one circled in the image? Check all that apply. low gradient, low velocity low gradient, high velocity low gradient, high volume high gradient, low velocity high gradient, high velocity
Answer:
low gradient, high volume
high gradient, low velocity
high gradient, high velocity
Step-by-step explanation:
Answer:
low gradient, high volumehigh gradient, low velocityhigh gradient, high velocity
Step-by-step explanation:
Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)
find the value of x.
I Need to show the equations please, and show my work
Answer:
15
Step-by-step explanation:
since both equations are set with a right angle, the equation must be equal to 90 degrees. So you set the equation as
13+x+4x+2=90
add the x variables together and the constants separately
15+5x=90
then subtract 15 from both sides.
15+5x=90
-15 -15
5x=75
then divide 5 from both sides.
75/5= 15
so x is 15 :).
Answer:
It shows a 90° angle split into 2 separate angles so,
[tex]13 + x + 4x + 2 = 90\\\\5x + 15 = 90\\\\5x = 75\\\\x = 15[/tex]
Basically, the total angle measure of the given angles [90°, (13 + x)°, and (4x + 2°) equals 180°. Take away 90 from 180 and you get 90, then solve for x using what's left: 13 + x + 4x + 2 = 90. You get x = 15.
I don't know how to solve these. please help. show work please.
Answer:
11. B 12. C 13. B
Step-by-step explanation:
11. Since segment MR bisects segment QO, side QP and side PO are equal. In the problem it states that angle MQP is congruent to angle ROP. The the angles QPM and OPR are vertical, so they are equal. That is enough evidence to conclude the answer.
12. ADC is bisected by BD, so that bisects AC too, which makes both sides equal. BD is perpendicular to AC, making right angles on both sides. The curves at angle A and angle C show that they are congruent. That should be enough evidence to show that it is congruent by ASA.
13. Triangle cannot be congruent by having the same angles, only similar since the lengths can be different. Congruent triangle means that the sides and angles are the same.
Good luck...hope this helped ;)
6th grade math I mark as brainliest
Answer:
D: A rhombus is always a parallelogram
Step-by-step explanation:
A rhombus is a quadrilateral, and it is also a parallelogram. However, a parallelogram is not always a rhombus.
Answer:
A rhombus is always a parallelogram
Step-by-step explanation:
it's lines parallel to the other side
Benjamin owns a small Internet business. Besides himself, he employs nine other people. The salaries earned by the employees are given next in thousands of dollars (Benjamin's salary is the largest, of course): 30, 30, 45, 50, 50, 50, 55, 55, 60, 75.
Required:
a. Determine the mean, median, and mode for salary.
b. Business has been good! As a result. Benjamin has a total of $25.000 in bonus pay to distribute to his employees. One option for distributing bonuses is to give each employee (including himself) $2500. Add the bonuses under this plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
c. As a second option. Benjamin can give each employee a bonus of 5% of his or her original salary. Add the bonuses under this second plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
d. As a third option, Benjamin decides not to give his employees a bonus at all. Instead, he keeps the $25,000 for himself. Use this plan to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?
Answer:
a) mean μ = 50 median M = 50 mode Md = 50
b) mean μ₂ = 52,5 median M = 52,5 mode Md = 52,5 all vales increased in 2,5 ( thousands of $) the same quantity of individuals incements
c) mean μ₃ = 52,50 median M = 52,5 mode Md = 52,5 The same values obtain in b)
d) mean μ₃ = 52,50 median M = 50 and Mode 50
Step-by-step explanation:
a) Mean μ is the average then:
30 30 45 50 50 50 55 55 60 75
μ = 50
The median M, is the central (fifth value) 50
And the mode
Md = 50
b) Adding 2,5 ( in thousands of $) to each one of the employees
32,5 32,5 47,5 52,5 52,5 52,5 57,5 57,5 62,5 77,5
The mean μ₂ = 52,5 $, since the average value has to be increased by the common increased number
The median M = 52,5 and also the mode Md = 52,5
c) 31,5 31,5 47,25 52,5 52,5 52,5 57,75 57,75 63 78,75
The mean μ₃ = 52,50
The median M = 52,50
The Mode Md = 52,50
d) 30 30 45 50 50 50 55 55 60 100
μ₄ = 52,5
Median M = 50
Mode Md = 50
Which ordered pair is a solution of the equation y = –54x – 2?
A. (−8, 8)
B. (8, −8)
C. (−8, −12)
D. (1, −154)
Answer:
A
Step-by-step explanation:
(-8,8) is the solution of the equation y=-5/4x-2.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
y=-5/4x-2,
To find solution for the given equation, solve with the help of options,
(A) (-8,8)
8=-5/4(-8)-2
8 = 10-2
8 = 8
(-8,8) is the solution of the equation
(B) (8,-8)
-8=-5/4(8)-2
-8 = -10-2
-8 = -12
(8,-8) can not be the solution of the equation.
(C) (-8,-12)
-12 = -5/4(-8)-2
-12 = 8
(-8,-12) can not be the solution of the equation.
(D) (1, −15/4)
-15/4 = -5/4(1)-2
-15/4 = -13/4
(1,--15/4) can not be the solution of the equation.
(-8,8) is the solution of the equation.
To know more about Equation on:
https://brainly.com/question/187506
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What is the only odd single-digit number greater than 1 whose cube is a perfect square
Answer:
7
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
What is the equation of the line that is parallel to the line represented in the table and goes through the point (-10, -2)?
Answer:
y = -3/2x - 17
Step-by-step explanation:
First you need to find the slope, since the lines are parallel the slopes would be the same as points of the other line on the table. When finding the slope you get -3/2, when you have the slope you need to find the y-intercept or in other words in y=mx+b, the "b" in the equation. In order to find the y-intercept you have to plug in the values of the point (-10,-2) so then the equation would look like -2 = -3/2(-10) + b. Then you would solve for b. Then when you put the components together you get y = -3/2x - 17.
Interest earned on 5000 with a rate of 6.4% for 4 years
Answer:
1280
Step-by-step explanation:
I = p x r x t
I = 5000 x 6.4/ 100 x 4
I = 5000 x 0.064 x 4
I =1280
Please need help thank you
Answer:
31825 is your answer. Hope that helps.
Answer:
Lydia´s address is 8 Cypress street.
Step-by-step explanation:
5 digit.
6 less than 7.
3 and 1 are the product.
Simplify them.
6 - 7 + 3 + 1 = 5
Simplify.
6 - 7 = -1.
Then Simplify.
-1 + 3 = 2.
Simplify.
2 + 1 = 3.
3 + 5 = 8.
Hope this helps.
Have a good night ma´ám/sir.
Be safe!
A gym charges $8.75 for each swimming class and a one time registration fee of $12.50. A student paid a total of $56.25. Write and solve an equation to find the number of swimming classes the student took.
Answer:
12.50 + 8.75x = 56.25
12.50 + 8.75 (5) = 56.23
12.50 + 43.75 = 56.23
Step-by-step explanation:
can somebody please help me with this quesiotion
Answer:
-3
Step-by-step explanation:
sense its between -2 and -4
*question
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
What is the most efficient first step to isolate the variable term on one side of this equation?
-9x = -4x + 5
Answer:
add 4x to both sides
Step-by-step explanation:
because -9x is the only thing on the left you want to move all the x's to the left
24⋅((3⋅2)−1)
14
4
24
144
Answer:
the answer is 24 im sure of it
i need some hidden amines that are new please
Answer:
i think i know someone but ion know
Step-by-step explanation:
A rectangular garden is to be made from 98 feet of fencing. If one side of the garden is to
be the side of the house, find the dimensions that would maximize the area.
