Answer:
[tex]Range = [24, 375][/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3[/tex]
[tex]Domain = [2,5][/tex]
Required
Find the Range
The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5
When x = 2;
f(2) is as follows;
[tex]f(2) = 3*2^3[/tex]
[tex]f(2) = 3 * 8[/tex]
[tex]f(2) = 24[/tex]
When x = 5;
f(5) is as follows;
[tex]f(5) = 3*5^3[/tex]
[tex]f(5) = 3 * 125[/tex]
[tex]f(5) = 375[/tex]
Hence, the range of the function is [24, 375]
One-fourth of a certain number is removed from two- fifth of that number. if the result is 3, find the number.
Please Help It due soon.
Answer:
the answer is 20
Step-by-step explanation:
let the number be "x"
1st part = 2/5of x
2nd part = 1/4 of x
=) 2/5 x - 1/4 x = 3
=) lcm of 4 ,5 is 20
=) ( 2x * 4 ) - ( 1x *5) by 20 =3
=) 8x - 5x / 20 =3
=) 3x / 20 =3
=) 3x = 3 *20
=) 3x = 60
=) x = 60 /3
=) x = 20
the number is 20
Answer: 20
Step-by-step explanation:
2/5x -1/4x = 60
Multiply by 20 on both sides,
8x - 5x = 60
3x = 60
x = 60/3 = 20
Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better
Answer:
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Volume of larger prism÷Volume of cube
that is;
Note:V=LWH
Therefore
[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}
= 1440[/tex]
Hope this answers your question!
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Cheers!
What is the midpoint of the vertical line segment graphed below?
Answer:
C.
Step-by-step explanation:
(5+5)/2 = 5, (4 + -5)/2 = -1/2
(5, -1/2)
TFW when you realize you answered two years too late...
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
What is the area of this triangle?
units^2
Answer:6
Step-by-step explanation:
The base is 3 and the height is 4
3*4/2 = 6
Answer:
6 units^2
Step-by-step explanation:
The base (segment DE) is 3 units.
The height is 4 units. (From point F going horizontally until it intersects segment DE)
Formula for area of a triangle: (1/2)BH
(1/2)(3)(4) = (1/2)12 = 6
5, Construct Arguments May bought 12
hats. What solid figure do the hats look
like? What attributes help you decide?
Answer:
Cone.
Step-by-step explanation:
From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.
The following attributes help as to decide that the hat is a cone:
1. Hat and cone both have one vertex.
2. Hat and cone both have one circular base.
Therefore, the hat is look like cone.
Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13
Answer:
[tex]3y - 2x = 13[/tex]
Step-by-step explanation:
Given
Points (-14,-5) and (4,7)
Required
Find its linear equation in a standard form
To find the linear form, we start by calculating the slope of the line
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]
[tex]m = \frac{7 + 5}{4 + 14}[/tex]
[tex]m = \frac{12}{18}[/tex]
Simplify fraction to lowest term
[tex]m = \frac{6*2}{6*3}[/tex]
[tex]m = \frac{2}{3}[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]
We have
[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]
[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]
Multiply both sides by 3
[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{3(y+5)}{x+14}[/tex]
Multiply both sides by x + 14
[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]
[tex]2 * (x + 14) = 3(y+5)[/tex]
Open brackets
[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]
[tex]2x + 28 = 3y+ 15[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]
[tex]28 = 3y+ 15 - 2x[/tex]
Subtract 15 from both sides
[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]
[tex]28 - 15 = 3y - 2x + 15- 15[/tex]
[tex]13 = 3y - 2x[/tex]
Reorder
[tex]3y - 2x = 13[/tex]
Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]
what is measurement of angle 2 and 11
Answer:
Angle 2 = 40 degrees Angle 11 = 60 degrees
Step-by-step explanation:
Start by using angle 1 to find angle 2
angle 1 is 140 + 2 is unknown = 180 degrees
140 + x = 180
-140 -140
x = 40
Angle 2 is 40 degrees
Now add together angles 2 and 9 to find the measure of angle 11
40 + 80 + x = 180
120 + x = 180
-120 -120
x = 60
Angle 11 is 60 degrees
Answer:
Angle #2 = 40 degrees Angle #11 = 60 degrees
Step-by-step explanation:
.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
80 degrees
Step-by-step explanation:
180-100=80 degrees
Answer:
[tex]80 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the ACE angle be x
Given that
ACD angle =100°
[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32
Answer:
So the mean of the given data set is approximately 15.55.
Step-by-step explanation:
The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.
The midpoint of each class can be calculated as the average of the lower and upper class boundaries:
Class 0-9: Midpoint = (0 + 9) / 2 = 4.5
Class 10-19: Midpoint = (10 + 19) / 2 = 14.5
Class 20-29: Midpoint = (20 + 29) / 2 = 24.5
Now we can find the sum of the product of each midpoint and its frequency:
(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182
Finally, we divide this sum by the total frequency (76) to find the mean:
1182 / 76 = 15.552632
So the mean of the given data set is approximately 15.55.
Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?
Answer:
11 years
Step-by-step explanation:
Answer:
Its actually 10 years
Step-by-step explanation:
Its about 10.4 but it says nearest year and 10 is closer than 11
Which number line correctly shows 0.8 + 0.3? A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 1.1 to 0.3 and from 0.3 to 0. A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 0 to 0.8 and from 0.8 to 1.1. A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 0 to 0.8, and then backwards from 0.8 to 0.5. A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 0.3 to 1.1 and then backwards from 1.1 to 0.8.
Answer:
the second number line in the second row OR The number line D in the attached image
Step-by-step explanation:
Lets start solving the question.
(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)
first read the question it i mentioned that which number line currently shows 0.8+0.3.
After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.
here please take a note that we are dealing with a number line hence the sign also matters.
Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease of understanding.
so take the first line A into consideration,
its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.
so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3
so now th lines A,B,F and H can be skipped.
We are done with analyzing line A, line B is skipped and now lets start with C.
here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.
so line C can't be the correct one.
Now lets consider the next line that is D.
here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.
so this is the line that correctly shows 0.8+0.3.
Now consider line E it cant be the correct line as its showing only 0 to 0.8.
and now the line that will confuse you is line G.
it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.
Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.
I hope this will help you.
Answer:
B
Step-by-step explanation:
the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a system of equations to represent the solution let X represent the width of the frame and it lives represent the length of the frame interpret the solution
Answer:
16 is the width 32 is the length
Step-by-step explanation:
L = 2x
96 = 2L + 2x Substitute the first equation into the second equation for L
96 = 2(2x) + 2x Multiply
96 = 4x + 2x Add
96 = 6x Divide both sides by 6
16 = x
Plug this into the first equation to solve for the length
L = 2(16) Multiply
L = 32
Find the volume of a sphere, in cubic centimeters whose radius is 3
centimeters.
Answer:
113.1
Step-by-step explanation:
V=4
3πr3=4
3·π·33≈113.09734
2. Daniel paid $22 for a water bottle. This amount includes 5% tax. What was the cost of the item before tax?
Answer:
$20.9
Step-by-step explanation:
100%=22
95%=x
95x22=2090/100=20.9
Answer:
$20.95 (rounded)
Step-by-step explanation:
To solve this, you need to first make an equation where x is the original cost before tax. So it would be 22=1.05x. You know it is 1.05 because 1 is the "whole" original cost and 0.05 is the 5% tax in decimal form. To solve the equation, you divide both sides by 1.05 to get x=20.95
In right triangle ABC on hypotenuse AB lies points K and M such that AK=AC, BM=BC. Find m∠MCK.
Answer:
The measure of ∠MCK is 45°
Step-by-step explanation:
The parameters given are;
ΔABC with hypotenuse side AB
Let AB = x
BC = y
AC = z
∴ x² = y² + z²
∠BCM = ∠CMB (Base angles of isosceles triangle ΔBMC)
Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)
∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)
Hence, 2 × ∠BCM + ∠CBM = 180°........(1)
Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)
Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK
However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)
∴∠CBM + ∠CAK = 180° - 90° = 90°
Adding equations (1) and (2), we have;
2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°
Which gives;
2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°
Where;
∠CBM + ∠CAK = 90°, we have;
2 × ∠BCM + 2 × ∠ACK + 90° = 360°
∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°
∠BCM + ∠ACK = 270°/2 = 135°
∠BCM = ∠CMB
∴ ∠CMB + ∠ACK = 135°
Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK
Hence, ∠CMK + ∠MCK = 135°
However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)
Which gives;
∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°
∴ m∠MCK = 180° - 135° = 45°.
The measure of ∠MCK, m∠MCK = 45°.
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
No, because 3(2) + 2 ≠ 12.
Step-by-step explanation:
An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,
Number of goals scored by Carrie = x
Number of goals scored by Kenny = 3x
Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,
Total score = Number of goals scored by Carrie +Number of goals scored by Kenny
12 = x + 3x
12 = 4x
x = 3
Further, the number of goals for the two can be written as,
Number of goals scored by Carrie = x = 3
Number of goals scored by Kenny = 3x = 3×3 = 9
Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.
Learn more about Equation here:
https://brainly.com/question/14686792
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Please answer this question GEOMENTRY
Answer:
4 in
4√2 in
Step-by-step explanation:
Part A
Missing angle= 90°-45°=45°
Missing leg = 4 in as opposite angles are equal
Part B
According to Pythagorean theorem
Hypotenuse²= (4in)²+(4in)²= 32 in²
c=√32 in²= 4√2 in
Please Answer Quick!!
Write 2 2/3 as an improper fraction. Then multiply the improper fraction by 1/4. Write the product as a reduced fraction.
Answer:
2 2/3 as an improper fraction is 8/3
8/3 × 1/4 = 2/3
Two sides of a triangle have lengths of 5 and 9. Which inequalities
represent the possible lengths for the third side, x? *
Answer:
4 < x < 14
Step-by-step explanation:
The third side is between the difference and the sum of the other two sides
9-5 < x < 9+5
4 < x < 14
Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13
=)))))))))))))))))))))))))
Answer:
c
Step-by-step explanation:
-10x is less than or equal to 40
x is greater than or equal to -4
flip the signs when you divide by a negative #
Help!
A diver is at an elevation of −18 feet and dives down an additional 30 feet. What is that diver’s elevation in feet in relation to a second diver who is 27 feet below the surface?
If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.
Answer:
Diver A is 21 ft below Diver B
Step-by-step explanation:
Diver A
-18 then goes down 30
-18 - 30 = -48
Diver B is at -27
Relationship
-48 - -27
-48+27 = -21
Diver A is 21 ft below Diver B
Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetables. The garden measures 20‘ x 30‘ and you want to increase the area of the garden to 1000 ft². What is the width of the walkway
1)Approximately 3.3 feet
2) approximately 3.5 feet
3) approximately 3.7 feet
4) approximately3.9 feet
What is the vale of of???
Answer:
B
Step-by-step explanation:
Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.
Answer:
B
Step-by-step explanation:
∠ BDC = 9x ( vertical angles )
∠ ABD and ∠ BDC are supplementary , thus
∠ ABD + ∠ BDC = 180 , substitute values
2x + 105 + 9x = 180 → B
asaphhhhhhhhhreeeerlllloppo
Answer:
(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)
Step-by-step explanation:
36 = 6 x 6
6 = 3 x 2
36 = 3 x 2 x 3 x 2
48 = 12 x 4
12 = 3 x 4
4 = 2 x 2
48 = 2 x 2 x 2 x 2 x 3
Divide: Multiple chocie PLEASE HELP
Answer:
p+q
Step-by-step explanation:
[tex]\dfrac{p^2-q^2}{p+q}\div\dfrac{p-q}{p+q}= \\\\\\\dfrac{(p-q)(p+q)}{p+q}\times \dfrac{p+q}{p-q}= \\\\\\\dfrac{(p-q)(p+q)}{p-q}= \\\\\\p+q[/tex]
Hope this helps!
Answer:
p+q
Step-by-step explanation:
We can use difference of squares to make the fractions
[tex]\frac{(p+q)(p-q)}{(p+q)} *\frac{p+q}{p-q}[/tex]
Since dividing is the same as multiplying bt the reciprocal
The (p+q) and the (p-1) cancel out so we are left with (p+q)
What is the FIRST step in solving this equation? 4x + 6 = 20 *
Answer:
Subtract 6 from each side
Step-by-step explanation:
4x + 6 = 20
Subtract 6 from each side
4x + 6 -6= 20 -6
4x = 14
Answer:
[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]
Step-by-step explanation:
[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the angle of fire in standard position on the unit circle in both degrees and radians?
Answer90
Step-by-step explanation:
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ primary Trigonometry ratio-memory trick ?”