Answer: [tex]30[/tex]
Step-by-step explanation:
Given
[tex]k(x)=2x+3[/tex]
[tex]M(x)=3x^2+7x-10[/tex]
[tex]M\left(k(x)\right)[/tex] is given by replacing the [tex]x[/tex] by [tex]k(x)[/tex] from the [tex]M(x)[/tex]
[tex]\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38[/tex]
Now, [tex]M\left(k(-4)\right)[/tex] is
[tex]\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30[/tex]
fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers
a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430
What do you get when you subtract-3xy from 5xy
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
What is the value of x?
(4x + 15)
11xº
O A. X = 5
O B. X = 11
O C. X = 59
O D. X = 121
Step-by-step explanation:
(4x+ 15)° + 11x° = 180° ( linear pair )
4x + 15 +11x = 180
15 x + 15 = 180
15x = 180-15
15x= 165
x= 165/15
x= 11
Solve this equation
2 . B - 19 = -11
Answer:
B=8
Step-by-step explanation:
you add 19 to both sides of the equation to get B by itself.
[tex]B=-11+19\\B=8[/tex]
answer:
8,
reason
11+8=19
alalalalalalalaalalalalal
20character minimum^
Which statement has the same information that is given for the proof below
Answer:
D. TU is a midsegment
Step-by-step explanation:
How is this one done?
Please help me show my work for, Larry has a piece of wood that is 2.45 feet long and 2.097 inches wide. Part B: Using the width of the wood in Part A, what is the area, in square feet, of the piece of wood rounded to the nearest hundredth? Plsss hurry and help me
Answer: 0.43ft²
Step-by-step explanation:
You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.
Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:
= 2.45 × 0.17475
= 0.4281375 ft²
= 0.43ft² to nearest hundredths
Note 1 foot = 12 inches
Therefore, 2.097 inches = 2.097/12 = 0.17475 feet
ps
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Gannexation - Goo...
FINAL LT 4 Assessment
9 of 10
POSSIBLE POINTS: 0.5
Draw a picture that represents the word problem. If it is not clear from your drawing, label the airplane, island and boat. Don't forget to include x in your
picture!
You are flying an airplane directly over a boat and spots an island in the distance. If the plane is flying at a height of 5,500m and you look down at the
island at an angle of 72 degrees, how far is the boat from the island?
x Clear
Undd
Redo
(720
Answer:
Step-by-step explanation:
You probably need to make your own version cause mine is super messy but here
A shirt originally $38.00 is on sale for 25% off. What is the discounted price?
Step-by-step explanation:
$ 28.50
minus $ 0.00
FINAL Price » $ 28.50
Note: Sales Tax Not Included
Savings » $ 9.50
Effective % Off » 25%
Answer:
$28.5
Step-by-step explanation:
100% - 25% = 75% (so you don't have to add or subtract anything)
38 * .75 = 28.5
=$28.5
A store offers a discount of 10% to customers who spend more than $20.00. If a customer’s bill is $80.00, how much will he actually pay?
Answer:
Step-by-step explanation:
Answer:
$72.00
Step-by-step explanation:
Amount of discounted money
= 10/100 x $80.00
= $8
Amount he will pay
= $80.00 - $8.00
= $72.00
The graph compares the scores earned by 100 students on a pre-test and a post-test.
Two box and whisker plots showing Pre-Test and Post-Test scores on a number line from 0 to 100. The upper plot represents the pre-test scores. For this upper plot, the minimum number is 0, the maximum number is 78, the right side of the box is 60, the left side of the box is 16, and the bar in the box is at 30. The lower plot represents the post-test scores. For this lower plot, the minimum number is 4, the maximum number is 100, the right side of the box is 83, the left side of the box is 30, and the bar in the box is at 45.
About how many more students scored greater than 30% on the post-test than on the pre-test?
15
Answer:
25 more studentsStep-by-step explanation:
30% mark represents:
50% on pre-test and 25% on post test.So
50% of 100 = 50 students scored greater than 30%75% of 100 = 75 students scored greater than 30%.The difference is:
75 - 50 = 25 studentsAnswer:
25 students
Step-by-step explanation:
Which is the best approximation for the value of 102−−−√?
Answer:
10
Step-by-step explanation:
it is because when you use a scientific calculator you get 10.09950494
which would be round to 10 because after the decimal the number is 0 below 5 so 10 stays as 10
hope this helps
The best approximation for the value of √102 is: 10.
Approximation for √102The square root of 102 is:
√102
=10.09950494
Now if we approximate 10.09950494 it would give us:
Approximation= 10.09950494
Approximation= 10 (Approximately)
Therefore The best approximation for the value of √102 is: 10.
Learn more about approximation here:https://brainly.com/question/1980606
Natasha is 50 m due east of Michelle. Natasha walks 20 m due north, and Michelle walks 10 m due
south. Find the distance and bearing of Michelle from Natasha now.
Please use diagrams to explain.
Answer:
Let's define East as the positive x-axis and North as the positive y-axis.
If Michelle's initial position is (0, 0)m
We know that Nathasha is 50m due East of Michelle.
Then the position of Natasha is (50, 0)m
Now we know that Natasha walks 20m due North, then the new position of her's is:
(50, 0 + 20)m = (50, 20)m
While Michelle walks 10m due South (South would be the negative y-axis, then we subtract 10 meters)
Michelle's new position will be:
(0, 0 - 10)m = (0, -10)m
Now we want to know the distance and bearing of Michelle from Natasha.
First, remember that the distance between two points (a, b) and (c, d) is given by:
Distance = √( (a - c)^2 + (b - d)^2)
Then the distance between Michelle and Natasha is:
Distance = √( (50m - 0m)^2 + (20m - (-10m))^2)
Distance = √( (50m)^2 + (30m)^2) = 58.31m
Now to find the bearing you can see the image below:
Point B is Michelle's position and point A is Natasha's position.
To find the bearing, we can make a triangle rectangle as the one shown in the image:
Also remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus).
Where the opposite cathetus is the difference between the x-values of each position, this is:
opposite cathetus = 50m - 0m = 50m
And the adjacent cathetus is the difference between the y-values, this is:
adjacent cathetus = 20m - (-10m) = 30m
Then:
Tan(a) = 50m/30m
Tan(a) = 5/3
Now if we apply the inverse Tan function to both sides, Atan(x) we get:
Atan(Tan(a)) = Atan(5/3)
a = Atan(5/3) = 59°
So the bearing is of 59°.
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
there are 4 groups of 3
Step-by-step explanation:
12 ÷ 3 = 4
answer : 4
Step-by-step explanation:
12 = 3 + 3 + 3 + 3 there are 4 groups of 3
Fill in the blank with the correct response. The slope of the graph of y = -7x is
Answer:
The slope is -7
Step-by-step explanation:
[tex]y = mx + c[/tex]
The [tex]m[/tex] indicates the slope/gradient of a graph
Answer:
m = -7
Step-by-step explanation:
y = -7x is a typical slope-intercept equation of a straight line. Comparing it to
y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.
Find the area of this triangle.
Round to the nearest tenth.
7 m
125°
14 m
?] m2
Enter
Answer:
40.1
Step-by-step explanation:
i just did it and got it right
Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
Answer:
Mean = 29
Step-by-step explanation:
Given that,
The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
We need to find the mean of the cupcakes for a week.
We know that,
Mean = (sum of observations)/(no. of observations)
[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]
So, the mean of cupcakes is 29.
!!!!someone help please??????
Answer:
The image you provided doesnt work
Step-by-step explanation:
Answer:
The answer is 8, take away 8.25 from 210 and then divide it by 23
Marco needs to climb up to the roof of his house. He placed his ladder so that the bottom of
the ladder was 4 feet away from the wall. If his ladder was 13 feet long, how high up was the
top of the ladder against the wall of the house? Round your answer to the nearest tenth.
Answer:
12.4 feet
Step-by-step explanation:
A ladder placed against the wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 13 feet
Opposite = 4 feet
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
13² = 4² + x²
169 = 16 + x²
169 - 16 = x²
153 = x²
Find the square root of both sides
√153 = √x²
12.369316876852 = x
x = 12.4 feet
Adjacent = x = 12.4 feet
Help me please Help me please Help me please
Answer:
[tex]y = x + 7[/tex]
Step-by-step explanation:
[tex]y = gx + c[/tex]
[tex]gradient = \frac{y}{x} = \frac{1}{1} = 1[/tex]
[tex]where \: the \: line \: meet \: the \: y-axis = 7[/tex]
URGENT SOMEBODY PLZ HELP
First one is B (43) and the second one is C (35)!
Can someone please help asap thank you
Answer:
7%
Step-by-step explanation:
.07x1 is .07, therefore tax rate
please give brainliest im desperate
Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?
Answer:
a. h = -2t + 29
b. 14.5 inches (not sure)
c. 5 1/2 minutes
d. The domain means the amount of time elapsed.
e. The value of h means the height of the water left
Step-by-step explanation:
Re write 12% as common fraction in simple form
Answer:
3/25
Step-by-step explanation:
Answer:
=325
Showing Work:
12%=12100
=0.12
=0.121×100100
=12100
=325
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
Answer:
flour 720 g
salt 10.8 g
yeast 14.4 g
oil 36 ml
water 600 ml
Step-by-step explanation:
600 ml - 500 ml = 100 ml = 20% more
Set up ratios to determine 20% of each ingredient and add to the original amount.
Example:
20%/100% = x ml/30 ml
20x30÷100=6
So, for oil, you need 30 ml + 6 ml = 36 ml
6 ml = 20% more
Anyone know this answer for 8?
find the volume of the cone. the radius is 5 and the height is 3
Answer:
V= 78.54
Step-by-step explanation:
Find the axis of symmetry of the graph y=x^2+8x+16
Answer:
x = -4
Step-by-step explanation:
to find the axis of symmetry use this formula:
x = -b/2a
if this problem, a = 1, b = 8, c = 16
x = -8/2(1)
x = -4
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
