Answer:
15x
Step-by-step explanation:
Use the order of operations to simplify 5(3 1/5 + 2 4/5) - 0.6.
A. 29.4
B. -16
C. 23 2/5
D. 30.6
Answer:
A. 29.4
Step-by-step explanation:
5(3 1/5 + 2 4/5) - 0.6
5(6) - 0.6 parenthesis
30 - 0.6 multiplication
29.4 subtraction
Simplify the following equations
Step-by-step explanation:
Given the expressions
1)
[tex]\sqrt[5]{16} * \sqrt[5]{2} \\= 16^{1/5} * 2^{1/5}\\= 2^{4(1/5)} * 2^{1/5}\\= 2^{4/5} * 2^{1/5}\\= 2^{4/5+1/5}\\= 2 ^{5/5}\\= 2^1\\= 2\\\\[/tex]
2)
[tex]\frac{\sqrt[4]{243}}{\sqrt[4]{3}} \\= \frac{243^{1/4}}{3^{1/4}}\\= \frac{3^{5/4}}{3^{1/4}}\\=3^{5/4-1/4}\\= 3^{4/4}\\= 3[/tex]
3)
[tex](3+\sqrt{2} )(4+\sqrt{7} )\\= 3(4) + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\= 12 + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\[/tex]
find the coordinates of the point which divides the line segment joining the points (4, -3) and (8.5) in the ratio 3:1 internally
Answer:
The coordinates of the division point are (7, 3)
Step-by-step explanation:
The coordinates of the point (x, y) which divides a segment with endpoints (x1, y1) and (x2, y2) at a ratio m1: m2 internally is ([tex]\frac{m1x2+m2x1}{m1+m2}[/tex] , [tex]\frac{m1y2+m2y1}{m1+m2}[/tex] ).
∵ The line segment joining the points (4, -3) and (8, 5)
∴ x1 = 4 and x2 = 8
∴ y1 = -3 and y2 = 5
∵ The point divides the segment at ratio 3: 1
∴ m1 = 3 and m2 = 1
→ By using the rule above
∵ x = [tex]\frac{(3)(8)+(1)(4)}{3+1}[/tex] = [tex]\frac{24+4}{4}[/tex] = [tex]\frac{28}{4}[/tex]
∴ x = 7
∵ y = [tex]\frac{(3)(5)+(1)(-3)}{3+1}[/tex] = [tex]\frac{15-3}{4}[/tex] = [tex]\frac{12}{4}[/tex]
∴ y = 3
∴ The coordinates of the division point are (7, 3)
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at x = 1.
Answer:
The cubic function is f(x) = (27/32)·x - 3/32·x³ - -9/32·x² - 9/32
Step-by-step explanation:
The given function is f(x) = a·x³ + b·x² + c·x + d
By differentiation, we have;
3·a·x² + 2·b·x + c = 0
3·a·(-3)² + 2·b·(-3) + c = 0
3·a·9 - 6·b + c = 0
27·a - 6·b + c = 0
3·a·(1)² + 2·b·(1) + c = 0
3·a + 2·b + c = 0
a·(-3)³ + b·(-3)² + c·(-3) + d = -3
-27·a + 9·b - 3·c + d = -3...(1)
a + b + c + d = 0...(2)
Subtracting equation (1) from equation (2) gives;
28·a - 8·b + 4·c = 3
Therefore, we have;
27·a - 6·b + c = 0
3·a + 2·b + c = 0
28·a - 8·b + 4·c = 0
Solving the system of equations using an Wolfram Alpha gives;
a = -3/32, b = -9/32, c = 27/32 from which we have;
a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0
d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32
The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).
Which of the following is the converse of the Triangle Proportionality
Theorem?
A. If a line divides two sides of a triangle proportionally, then it is
parallel to the third.
B. If a line is perpendicular to one side of a triangle, then it divides
the other two sides proportionally.
C. If a line is parallel to one side of a triangle, then it divides the other
two sides proportionally.
D. If a line divides two sides of a triangle proportionally, then it is
perpendicular to the third.
I’m
Answer:
The answer is A
Step-by-step explanation:
The correct answer is:
A) If a line divides two sides of a triangle proportionally, then it is
parallel to the third.
What is triangle proportionally?If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
The converse of the triangle proportionality theorem states "If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."
Hence, the converse will be If a line divides two sides of a triangle proportionally, then it is parallel to the third.
Learn more about triangle proportionality click;
https://brainly.com/question/31050611
#SPJ5
help me or ill fail algebra one I HAVE 4 MODULES AND IM ON 3.5 I GOTTA FINISH BY JANURARY 22 PLS HELP
SOLVE THESE RATIONALS EQUATIONS
Answer:
4 times 3 equals 12 minus 1 is 11/12 the one you chose is right i hope you dont fail algebra cuz of me
Step-by-step explanation:
Please help me with this
Answer:
55% in Decimal form: 0.55. 55% in Fraction form: 55/100. Hope this helps
Step-by-step explanation:
HELP 55 POINTS!
Determine if each set of ordered pairs represents a function.
(2, 3). (6,-5), (-1,3)
(1, 9), (-3, -2) (1, -4)
(7,4). (0, 9), (2, -2)
(0, 3). (0, 7), (4, 0)
(-6, 5), (-5,6), (8, 2)
Function
Not a Function
Answer:
(2,3) function
(1,9) not
(7, 4) function
(0,3) not
(-6,5) function
Nobody answered me all day and I really need help can someone answer this?
Answer:
reflect over y axis
x+1 y+4
Step-by-step explanation:
Answer:
y axis -2, 4
Step-by-step explanation:
select two figures that have the same volume. A. cone with base radius 6 and height 3. B. cone with base radius 5 and height 6. C. cone with base radius 4 and height 9. D. cone with base radius 3 and height 12
Answer:
I believe it is c and d
Step-by-step explanation:
math stuff and math
if you eat 4 medium strawberries you get 48% of your daily recommended amount of vitamin c what fraction of your daily amount of vitamin c do you still need
f(x) = |2x + 1| + 3
g(x) = -2
find (f + g)(x)
A.(f + g)(x) = |2x + 2|
B.(f + g)(x) = |2x| + 2
C.(f + g)(x) = |2x + 1| + 1
D.(f + g)(x) = |2x + 4| - 2
Answer:
(f + g)(x) = I2x + 1I + 1 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = I2x + 1I + 3
∵ g(x) = -2
→ We need to find (f + g)(x), which means add the two functions
∵ (f + g)(x) = f(x) + g(x)
→ Substitute the right side of each function on the right side
∴ (f + g)(x) = I2x + 1I + 3 + (-2)
→ Remember (+)(-) = (-)
∴ (f + g)(x) = I2x + 1I + 3 - 2
→ Add the like terms in the right side
∵ (f + g)(x) = I2x + 1I + (3 - 2)
∴ (f + g)(x) = I2x + 1I + 1
THE GREATEST PRODUCT
You have sixty seconds to arrange the numbers 3.456
and 7 in the boxes below to get the largest productible
Each number may be used only once
Answer:
7*6543=45801
Step-by-step explanation:
We have the digits 34567 and must arrange them into a product with the largest possible value.
It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.
Let's try with:
7654*3=22962
765*43=32895
76*543=41268
7*6543=45801
This last combination definitely produces the largest product
Answer: 7*6543=45801
Heather buys 12 patio chairs for $366. Each chair costs the same amount. Part A Which equation represents the best estimate for the cost of each chair?
Answer:
[tex]C=\dfrac{366}{12}[/tex] = $30.5
Step-by-step explanation:
It is given that,
The cost of 12 patio chairs is $366.
We need to find the equation that represents the cost of each chair.
As each chair costs the same amount. It means we can find the cost of each chair by dividing total cost of 12 chairs divided by 12 i.e.
[tex]C=\dfrac{366}{12}[/tex]
So, it is the required equation. If we solve it, we get $30.5. Hence, the cost of each chair is $30.5
6. Henry examined the table that represents values satisfying the function shown
below.
fax)
0 -18
1
2
4.
3
4.
-6
5 -8
6 0
7 24
8 70
Ollo
Based on the information in the table, select all the key features that are correct.
The y-intercept of the graph of the function is at (0, -18)
The maximum value of the function is 4.
A local minimum is located within the interval 3 sxs6
A local maximum is located within the interval 1
The function is increasing within the interval 6 sxs8
n
Answer:
The maximum value of the function is 4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
can anyone pls tell me the answer to this pls
Answer:
you're lazy count the squares
Step-by-step explanation:
i think i counted 73. You can count the squares again. Then that is the area cm^2
the perimeter i counted 64
Count the edges of the squares and you'll get perimeter. I counted roughly so count carefully.
What is the value of the expression (81 1/4) to the power of 4
Answer:
43580627.4414
Step-by-step explanation:
calculator
Answer:
3
Step-by-step explanation:
Look at the right triangle shown below. Which of the folllowing could not be the triangle’s dimensions?
Answer:
5,12,13
Step-by-step explanation:
The sides are almost close for the distance and so 5 doenst go with 12 and 13, its too small. For dimensions while the other numbers are close to being related. Do you know what I mean?
Hope this helped a little tho!
For every `8` boys wearing neon blue, there are `2` girls wearing neon blue. If there are `32` boys wearing neon blue, how many girls are wearing neon blue?
Answer:
8:2
32:8
Step-by-step explanation:
It's pretty simple:
If there's 32 boys, which is 4 times the amount you start with, you have to apply that to the number of girls as well since for every 8 boys, there is 2 girls.
8x4
2x4
32:8 Hope this helps
Answer:
8 girls are wearing neon blue.
Step-by-step explanation:
There are several ways to do this but one of them is to find how many groups of 8 boys are in 32. To do this we divide 32 by 8 which equals 4. We then multiply 2 by 4 which is 8.
a car that was originally worth 29500$ it depreciates at a rate of 2500$ per year find the value of the car after six years
Answer:
14,500
Step-by-step explanation: Just took the test.
HELP PLEASE I GIVE A LOT OF POINTS JUST ANSWER QUICK
Answer:
See answers below (and image for functions)
Step-by-step explanation:
g(x) = (3)^5x is a horizontal compression
h(x) = 4(3)^x is a vertical stretch since |a|>1
p(x) = 1/2(3)^x is a vertical compression since 0<|a|<1
w(x) = 3^0.2x is a horizontal stretch
A 93 L batch of Ropivacaine is being made. The specific gravity is 1.01 g/mL. 196.42 g of Ropivacaine and 799.8g of sodium chloride are added. What is the weight of the water to be added to QS the solution?
Answer:
92.93378 kg
Step-by-step explanation:
Given that:
Volume of Batch = 93 L
= 93 × 1000 (since 1 L = 1000 mL)
= 93000 mL
Specific gravity = [tex]\dfrac{density \ of \ solution}{density \ of \ water}[/tex]
where;
density of water = 1 g/ml
specific gravity = 1.01 g/mL
Density of solution = (1.01 × 1) g/mL
Density of solution = 1.01 g/mL
[tex]Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}[/tex]
mass of batch = 1..01 g/mL × 93000 mL
mass of batch = 93930 g
Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)
= 93930 g - 196.42 g - 799.8 g
= 92933.78 g
Since 1kg = 1000 g
The weight of the water to be added to the QS solution is:
[tex]=\dfrac{92933.78}{1000}[/tex]
= 92.93378 kg
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
yellow
Step-by-step explanation:
A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer: 4.86%
Step-by-step explanation:
The Capital Asset Pricing Model can be used;
Return = Risk free rate + beta * ( market return - risk free rate)
10.5% = Rf + 1.55 * (8.5% - Rf)
10.5% = Rf + 0.13175 - 1.55Rf
10.5% - 0.13175 = -0.55Rf
-0.02675 = -0.55Rf
Rf = -0.02675/-0.55
= 0.0486
= 4.86%
Is point (20,15) on line j?
Answer:
No the point (20,15) is not on line j.
1. Factorize :
(a) 2x + 6
Answer:
2(x+3) is the correct answer
Step-by-step explanation:
2 × x=2x 2×3=6
2x+6
2(x+3)
Answer:
2x=6/:2
x=3
that's the answer
Please help me answer this for a test im having trouble
Answer:
x + 1
y = 9
Step-by-step explanation:
In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....
y = 7x + 2
(plug in the y value and get the following ….)
-x + 10 = 7x + 2
(now just solve the following equation)
-x + 10 + x = 7x + 2 + x
10 = 8x + 2
10 - 2 = 8x + 2 - 2
8 = 8x
8/8 = 8x/8
1 = x
Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....
y = 7x + 2
y = 7(1) + 2
y = 7 + 2
y = 9
What is the unit rate if there are 132 miles driven using 6 gallons of gas?
how many thirds are in 8/3
Answer:
8
Step-by-step explanation:
just take the numerator and thats how many
for
A purse costs $21.50 plus 7.5% tax. How much tax will a customer pay
the purse?
A)$0.75
B)$1.61
C)$3.76
D$16.13
