The result of the given expression is negative fifth sixth
Solving linear equationThe interpretation of the statement as a linear function is expressed as;
-1/6(3) - 3(1/3)²
Expand the fraction in parenthesis
-1/6(3) = -1/2
3(1/3)² = 3(1/9) = 1/3
Substitute
-1/6(3) - 3(1/3)²
-1/2 - 1/3
-3-2/6
-5/6
Hence the result of the given expression is negative fifth sixth
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Round 87.6 to the nearest whole number.
Answer: 88
Explanation: You always round up if the number before is greater than 4!
Help me please! Late homework
2)Main Answer: a)1,8,27,64,125,216,343,512
b)I,II,III,IV,V,VI,VII,VIII,IX,X,XI
Concept and definitions should be there:
A conjecture is an educated guess that is based on known information. Example. If we are given information about the quantity and formation of section 1, 2 and 3 of stars our conjecture would be as follows.
Given data
a)Next five terms 1,8,27,64
b)Next five terms I,II,III,IV,V
Solving part
using conjecture
a)Next five terms 1,8,27,64,125,216,343,512
Notice that the difference between consecutive terms is 7.
Conjecture: n3, n=1,2,3...
Final Answer:1,8,27,64,125,216,343,512
b))Next five terms I,II,III,IV,V,VI,VII,VIII,IX,X,XI
Conjecture: n, n=i,ii,iii,...
Final Answe:I,II,III,IV,V,VI,VII,VIII,IX,X,XI
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3)Quastion incompleted
4)Main answer :The number 14 is even and therefore is divisible by 2. This is the correct statement.
Given data
The statement which uses deductive reasoning to draw the conclusion is C. The number 14 is even and therefore is divisible by 2.
Solving part
The number 14 is even and therefore is divisible by 2. This is the correct statement.
Final Answer:The number 14 is even and therefore is divisible by 2. This is the correct statement.
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5)Main Answer:X = -2
Concept and definitions should be there:This solution deals with linear equations with one unknown.
Given data
18x-2(3x+1)=5x-16
Solving part
We simplify the equation first:
18x−2(3x+1)=5x−16
18x+(−2)(3x)+(−2)(1)=5x+−16 (Distribute)
18x+−6x+−2=5x+−16
(18x+−6x)+(−2)=5x−16 (Combine Like Terms)
12x+−2=5x−16
12x−2=5x−16
Then we cancel out:
12x−2−5x=5x−16−5x
7x−2=−16
7x−2+2=−16+2
7x=−14
7x/7 = −14/7
x = -2
Final Answer:x = -2
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Write an equation of the line passing through the point (4,- 3) that is perpendicular to the line 4x+y=3
Answer:
[tex]\boxed{y = \dfrac{1}{4}x -4}[/tex]
Step-by-step explanation:
The slope-intercept form of a line equation is y = mx + b[tex]\sf\\\\To\;find\;b, \;plug \;in \;the \;values\; of\; (4, - 3) \;which \;corresponds\; to\; x = 4, y = -3 \;into \;the \;above \;equation:\\== > - 3 = \dfrac{1}{4}\cdot 4 + b\\\\Switching\;sides,\\\dfrac{1}{4}\cdot 4 + b = -3\\\\Simplifying\\1 + b = -3\\\\b = -3 -1 = -4\\So\; the\; equation \;of \;the\; perpendicular\; line \;is: \boxed{y = \dfrac{1}{4}x -4}[/tex]
A perpendicular line will have slope is [tex]-\dfrac{1}{m}[/tex]
The perpendicular line will have a slope which is the negative of the reciprocal of the first line
Here the line is 4x + y =3
This can be re-written as y = -4x + 3
Slope of this line is -4
[tex]\sf Reciprocal \; of-4 = -\dfrac{1}{4}[/tex]
[tex]\sf Negative \; of \; reciprocal = -(-\dfrac{1}{4}) = \dfrac{1}{4}[/tex]
[tex]\sf So\;slope\;of\;perpendicular\;line=\dfrac{1}{4}\\Equation \;of \;the \;perpendicular\; line\; is \;y = \dfrac{1}{4}x + b \;where \;b \;is \;the\; y\; intercept[/tex]
Refer to ®N . Identify each.
a. a chord
A chord is a segment with endpoints on the circle. EF, DF are chords of the circle.
What is a chord in a circle?The chord of a circle is defined as the line segment connecting any two points on its circumference. It should be noted that the diameter of a circle is the longest chord passing through its center.
A circle chord is a straight line with both ends on a circular arc. A secant line, or simply secant, is the infinite line extension of a chord. A chord is a segment of a line that connects two points on a curve, such as an ellipse.
A chord is a segment with endpoints on the circle.
Therefore, EF, DF are chords of the circle.
The complete question is:
Identify each.
a chord
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Determine the distance between each pair of points. Then determine the coordinates of the midpoint M of the segment joining the pair of points.
F (3/5, 0, 4/5) and G(0,3,0)
The midpoint is at (3/10 , 3/2 , 4/10)
In the given statement is
To find the midpoint of the line segment joining the pair of points
F (3/5, 0, 4/5) and G(0,3,0)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2} , \frac{z_{1}+z_{2} }{2}[/tex])
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points F (3/5, 0, 4/5) and G(0,3,0)
Solving for the midpoint , we have,
m = ([tex]\frac{3/5+0}{2} , \frac{0+3}{2} ,\frac{4/5+0}{2}[/tex])
m = (3/10 , 3/2 , 4/10)
Therefore, the midpoint is at (3/10 , 3/2 , 4/10)
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A plane is flying at a speed of 150 miles per hour. The pilot plans to fly at this speed for the next 160 miles, plus or minus 25 miles. Write an absolute value equation to find the minimum and maximum number of hours the plane will travel at that speed. (Please show an equation with absolute value bars).
The following is the absolute value equation for figuring out the maximum and minimum period of time: t = |d/v| + |25/v|.
What is relation between speed and distance?A moving body's speed is the distance it travels in one unit of time.If a distance is in kilometers and the time is in hours, the speed is in kilometers per hour.If a distance is measured in meters and the time is measured in seconds, the speed is measured in meters per second.The parameters provided;
The plane's speed, v, is 150 miles per hour.The pilot's flight distance is d = 160 ± 25 miles.The number of hours required for the plane to travel just at given values is determined as follows:
Time= distance / speed
The equation for calculating the maximum number of hours is as follows:
t = (d + 25)/v = (160 + 25)/150
t = 1.23 hours.
The equation and for shortest number of hours is as follows:
t = (d - 25)/v = (160 - 25)/150
t = 0.9 hours.
Thus, the absolute value equation for determining the maximum and minimum amount of time is as follows:
t = |d/v| + |25/v|.
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(x+4)(2x+9) express as a tirnomoal
Answer: [tex]2x^{2} +17x+36[/tex]
Step-by-step explanation:
FOIL:
[tex]2x^{2} +8x+8x+36[/tex]
Combine like terms:
[tex]2x^{2} +17x+36[/tex]
You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand. The probability of your team getting 1 point for a hand is 60 \% and of getting 3 points for a hand is 5 \% .
a. Calculate your team's expected value for a hand.
The team's expected value for a hand is 0.75.
Probability:
Probability refers the possible occurrence of any required event.
Given,
You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand.
The probability of your team getting 1 point for a hand is 60% and of getting 3 points for a hand is 5% .
Here we need to find the team's expected value for a hand.
The expected value is calculated by the sum of the product of each point value and its corresponding probability.
So, the sum of the each probability value is,
E = sum ( point value x probability)
E = 0 + (1 x 60%) + (3 x 5%)
Convert the percentage values onto decimal,
Then
E = 0 + ( 1 x 0.60) + (3 x 0.05)
E = 0 + 0.60 + 0.15
E = 0.75
Therefore, the team's expected value for a hand is 0.75.
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28 divided by 263.2
When dividing 28 by 263.2, the approximate quotient is 0.1062 (rounded to four decimal places).
To divide 28 by 263.2, we can perform the division operation as follows:
Dividend ÷ Divisor = Quotient
Here, the dividend is 28, and the divisor is 263.2.
To simplify the division, we can remove the decimal point by multiplying both the dividend and divisor by a power of 10. In this case, we can multiply by 10 to eliminate the decimal point.
28 * 10 = 280
263.2 * 10 = 2632
Now, we can perform the division:
280 ÷ 2632 ≈ 0.10621761658
Hence, when dividing 28 by 263.2, the approximate quotient is 0.1062 (rounded to four decimal places).
In summary, to divide a number by another number, we divide the whole numbers and the decimal numbers separately, considering the appropriate place values, and then combine the results to obtain the final quotient.
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In a company, 95% of the workers are men. If 105 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
NAH THIS ANSWER IS EASY: ANSWER 2500
Step-by-step explanation:
Answer:
198.5
Step-by-step explanation:
If a = -2 then evaluate 2a^2 - 5a + 6
After evaluating the given expression at a = -2, we get 24.
We have the following expression -
[tex]2a^{2} -5a +6[/tex]
We have to evaluate it for a = -2.
How a expression in mathematics is evaluated ?To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
According to the question, we have -
[tex]2a^{2} -5a +6[/tex]
Evaluating the expression for a = -2, we get -
2(-2)(-2) - 5(-2) + 6 = 8 + 10 + 6 =24
Hence, after evaluating the given expression at a = -2, we get 24.
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Triangles ABC and DEF are similar. Find side BC
Answer:
BC = 1 [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute values )
[tex]\frac{BC}{4}[/tex] = [tex]\frac{\frac{3}{4} }{\frac{5}{2} }[/tex] ( 2 [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] )
cross- multiply
[tex]\frac{5}{2}[/tex] BC = 4 × [tex]\frac{3}{4}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
5 BC = 6 ( divide both sides by 5 )
BC = [tex]\frac{6}{5}[/tex] = 1 [tex]\frac{1}{5}[/tex]
The probability that Anisa will practise the
drums after school is Write this probability
2
10
as a decimal.
Answer:
[tex] \frac{2}{10} \\ \\ 0.2[/tex]
Determine whether each sequence is arithmetic. If so, identify the common difference. 11,22,33,44, . . . .
The common difference of arithmetic sequence is 10.
How can an arithmetic sequence be found?according to a = 2 and d = 3, the sequence. Solution: We apply the method for finding the nth term to locate a specific term in an arithmetic series. Step 1: An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d. Therefore, enter the numbers a = 2 and d = 3 into the formula to determine the nth term.
This is an arithmetic sequence.
a = 11
d = a2 - a1
d = 22 - 11
d = 10
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Marcus made 6 baskets in his first basketball game.In each of the next 4 games,he made the same number of baskets.If he made a total of 34 baskets,how many baskets did he make in each of the 4 games?
The linear equation, he makes approximately 9 balls in the next three baskets and the balls in the first match.
According to the statement
We have to find that the Number of the basket in the each of the game.
So, For this purpose, we know that the
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
From the given information:
Marcus made 6 baskets in his first basketball game. In each of the next 4 games,he made the same number of baskets. If he made a total of 34 baskets.
Then
In first game = 6 basket ball.
The linear equation form is a
3x +6 = 34
Then
3x = 34 - 6
3x = 28
x = 28/3
x = 9.3
After conclusion, The basket in the first game is a 6 baskets and in the next 3 games he makes a 28 baskets.
So, The linear equation, he makes approximately 9 balls in the next three baskets and the balls in the first match.
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3m2+y/5 evaluate m=2and y=35
Answer:
17
Step-by-step explanation:
3(2)2+(35÷5) = 12+7 = 19
[hope it helps, im not sure if its exactly what you need]
PLS ANSWER FAST!!!!!
Marisol accumulated 55 hours of vacation time at her work. Over the summer, she used 15 hours of vacation time. How much vacation time did she have left?
Answer:
40
Step-by-step explanation:
accumulated vacation Minus used vacation = remaining vacation
55 -15 = 40
The ratio of boys to girls on the school field trip was 3:1. if there were 10 more boys than there were girls. how many students went on the field trip?
Answer:
20
Step-by-step explanation:
so if you do 3 -1 = 2
so 2 portions = 10
divide by 2
so 1 portion = 5
so do 5 x 1 = 5
5 x 3 = 15
5 + 15 = 20
so 20 students in total
if you do inverse you can check if it's right
hope this works :)
The total number of students who went on the field trip will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The proportion of young men to young ladies on the school field trip was 3:1. assuming there were 10 a larger number of young men than there were young ladies.
Let 'B' be the number of boys and 'G' be the number of girls. Then the equations are given as,
B/G = 3/1
B = 3G ....1
B = G + 10 ....2
From equations 1 and 2, then we have
3G = G + 10
2G = 10
G = 5
Then the number of boys is given as,
B = 5 + 10
B = 15
Then the total number of students who went on the field trip will be given as,
⇒ 5 + 15
⇒ 20
The total number of students who went on the field trip will be 20.
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solve for x 7=(x-4)^2+3
Answer:
X=6,2
Step-by-step explanation:
You are considering renting a car from two different rental companies. Proxy car rental company charges .32 per mile plus an 18 surcharge. YourPal rental company charges .36 per mile plus a 12 surcharge.
b. Write a function that shows the cost of renting a car from YourPal.
150 is the cost of renting a car from YourPal.
What is surface area of cuboid ?
The six rectangular faces of a cuboid. Add the areas of each of the cuboid's six faces to determine its surface area. Additionally, we can label the prism's length (l), width (w), and height (h), and then calculate its surface area using the formula SA=2lw+2lh+2hw.Let y = total charge for a car rental and x = miles driven
Proxy car equation: y = 0.32x + 18
YourPal equation: y = 0.36x + 12
Set equations right sides equal to each other... meaning their cost, y, are equal
0.32x + 18 = 0.36x + 12
18 = 0.04x + 12 (subtract 0.32x from both sides of the equation)
6 = 0.04x (subtract 12 from both sides of the equation)
150 = x (divide both sides of the equation by 0.04)
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In the fruit bowl there are 6 bananas, 4 apples, and 3 oranges.
a. For every 4,____, there are 3____
b. The ratio of_____to____ is 6:3
c. The ratio of____to____ is 4 to 6.
d. For every 1 orange, there are____bananas
A. For every 4 apples, there are 3 oranges.
B. The ratio of bananas to oranges is 6:3
C. The ratio of apples to bananas is 4 to 6.
D. For every 1 orange, there are 2 bananas.
If hj = 7x - 27, find HI
The value of HI is 28.
Given that HJ=7x-27, HI=3x-5 and IJ=x-1 as shown in the attached image.
We have to find the value of HI.
As a line given in image it shows that the line HJ is the sum of Hi and IJ and we can write it as
HI+IJ=HJ
Now, we will substitute all the given values which is shown in the attached image, we get
3x-5+x-1=7x-27
Now, we will simplify the left-hand side by combining all the like terms, we get
4x-6=7x-27
Further, we will subract 4x from both sides, we get
4x-6-4x=7x-27-4x
6=3x-27
Furthermore, we will add 27 on both sides, we get
6+27=3x-27+27
33=3x
Now, we will divide by 3 from both sides, we get
33/3=3x/3
11=x
Further, we will simplify the value of HI by substituting the value of x, we get
HI=3x-5
HI=3(11)-5
HI=33-5
HI=28
Hence, the value of HI when HJ=7x-27 and the attached image is 28.
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Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (There are many correct answers.)
(-3,0), (8,0)
Using the Factor Theorem, the quadratic functions are given as follows:
Opens upward: f(x) = x² - 5x - 24.Opens downward: f(x) = -x² + 5x + 24.What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
For this problem, the roots are given as follows:
[tex]x_1 = -3, x_2 = 8[/tex]
Hence:
f(x) = a(x + 3)(x - 8)
f(x) = a(x² - 5x - 24).
It opens upward with a positive leading coefficient, that is, a > 0, hence one example is a = 1 as follows:
f(x) = x² - 5x - 24.
It opens downward with a negative leading coefficient, that is, a < 0, hence one example is a = -1 as follows:
f(x) = -x² + 5x + 24.
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These cards can be sorted into three pairs,
where each pair adds to the same number.
What is this number?
-3-8-53-20
Applying addition of integers, it is found that this number is of -5.
Why is the number -5?The addition of these following three pairs is given as follows:
-5 + 0 = -5.-3 - 2 = -5.-8 + 3 = -5.Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is of -5.
The addition of integers used in this problem is as follows:
Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5.Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.More can be learned about addition of integers at https://brainly.com/question/17695139
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It has been said that only the top 2% of athletes will go pro. What Z-Score is required
to be the top 2%?
Round to 2 decimal places.
If the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.
Given that the top 2% of athletes will go pro.
We are required to find the Z-Score that is required to be the top 2%.
A Z-score is basically a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured basically in terms of standard deviations from the mean.
Because only 2% of the top is pro then it will be a two tailed test. The required percentage will be 2/2=1%
The value which we will require to catch up from table=0.01
Z value will be 0.0438 (Z table is attached)
Hence if the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.
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In March, Delphine's house had 40\%40%40, percent more snowfall than in February. Delphine's house had fff centimeters of snowfall in February.
Which of the following expressions could represent how much snowfall Delphine had at her house in March?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
40f40f40, f
(Choice B)
B
40+f40+f40, plus, f
(Choice C)
C
1.4f1.4f1, point, 4, f
(Choice D)
D
40f+f40f+f40, f, plus, f
(Choice E)
E
\dfrac4{10}f+f
10
4
f+f
2.4 f of snow would fall in March.
How to find centimeters of snowfall in February?Given that
Delphine's home received 40% 40% 40% 40% more snowfall in March compared to February.
now find the Delphine's house had fff centimeters of snowfall in February.
Let f represent the volume of snow that fell in February.
If there is 40% more snowfall in February than there was in March,
Consequently, the snowfall would be
[tex]f+( \frac{100+40}{100} )f[/tex]
[tex]f+( \frac{140}{100} )f[/tex]
f + 1.4f
2.4f
Therefore, 2.4f of snow would fall in march.
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W-(-3)=7
W=
This is due tonight:))
A beverage company makes 100% cranapple juice, which makes up of 3 1/4 parts of cranberry juice to 5 3/4 parts of apple juice, with no other ingredients. how much apple juice is there in a 64 fluid ounce bottle of cranapple juice?
The amount of apple juice needed in a 64 fluid ounce bottle of cranapple juice is 40.8 fluid ounce.
The beverage company makes 100% cranapple juice which is made up of 3 1/4 cranberry juice to 5 3/4 apple juice. Converting to decimal, it is made up of 3.25 cranberry juice to 5.75 apple juice. The ratio of cranberry juice to apple juice in the cranapple juice would be
=3.25/5.75
=> Total ratio = 3.25 + 5.75 = 9
The amount of apple juice needed in a 64 fluid ounce cranapple juice would be
5.75/9 × 64 = 40.8 fluid ounce
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Karls pet lizard walked 2/5 mile in 1/3 hour. Use this information to complete the steps to find the unit rate.
1. Write The ratio of distance in time Option 1)
2
—
5
______
1
—
3
Option 2)
1
—
3
_______
2
—
5
Option 3)
5
—
3
The unit rate represented by the information is 6/5 mile per hour
How to use the information to complete the steps to find the unit rate?The given parameters are
Distance = 2/5 mile
Time = 1/3 hour
The ratio of distance in time is calculated as
Ratio = Distance : Time
This gives
Ratio = 2/5 mile : 1/3 hour
Divide both ratio by 1/3
So, we have
Ratio = 6/5 mile : 1 hour
Express as fraction
Ratio = 6/5 mile/1 hour
This gives
Ratio = 6/5 mile per hour
Hence, the unit rate represented by the information is 6/5 mile per hour
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rearrange to make x the subject 4(x-3)/a=y
Answer:
x=ay/4 +3
Step-by-step explanation:
