Answer:
y=2(x + 2))^2 - 9
Step-by-step explanation:
So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.
With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9
A(t) = 110000(1 + 0.06)2025
Sammy has 21 books on his shelf. Two-thirds of the books are mysteries. How many books are mysteries?
Answer:
14 books my good sir
Step-by-step explanation:
How do I solve this?
Answer:
25
Step-by-step explanation:
C = √a^2+b^2
√7^2+24^2
√49+576
√625
C=25
Let e be the line through A (-4,5) and B (3. t) that is perpendicular to the line through
P (1, 3) and Q(-4, 2). Find the value of t.
Let l be the line through A (4, -3) and B (t, -2) that is parallel to the line through
P(-2, 4) and Q (4, -1). Find the value of t.
Determine the signs of sino coso and tane if O is an angle in standard position and
P (2,-5) is a point on its terminal side.
Answer:
Step-by-step explanation:
product of slopes of perpendicular lines=-1
(t-5)/(3+4)×(2-3)/(-4-1)=-1
(t-5)/7×(-1/-5)=-1
(t-5)/35=-1
t-5=-1×35=-35
t=-35+5
t=-30
2.
slopes of parallel lines are equal.
(-2+3)/(t-4)=(-1-4)/(4+2)
1/(t-4)=-5/6
t-4=-6/5
t=4-6/5=(20-6)/5=14/5
3.
x>0,y<0
so P lies in4th quadrant.
except cos and sec all are negative.
so only cos and sec are positive.
21 POINTS HELPPPP
ASAP
Answer:
-3 1/4 + 4 3/4= 1 1/2
Step-by-step explanation:
i need help fast please
Answer:
40/30
Step-by-step explanation:
[tex]tan = opposite/adjacent[/tex]
[tex]tan\ \angle Z = \frac{40}{30}[/tex]
Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Help me with the question
Answer:
Step-by-step explanation:
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks
y = 248 - 2x
good luck :))))
Based on the table,what is the volume,in litters,of sample 2?
0.65 / 0.5 = 5.2 / ?
1.3 = 5.2 / ?
? = 5.2 / 1.3
? = 4 Liters
5/6 x 3/4 as an array is?
Question:
5/6 x 3/4 as an array is?
Answer:
0.625 or 5/8
Step-by-step explanation:
Using Arrays to Explore Numbers
Arrays are useful models for multiplication which can be used in a variety of ways, ranging from highly structured lessons to games and open investigations.
An array is formed by arranging a set of objects into rows and columns. Each column must contain the same number of objects as the other columns, and each row must have the same number as the other rows.
The following array, consisting of four columns and three rows, could be used to represent the number sentence 3 x 4 = 12, 4 x 3 =12, 3 + 3 + 3 + 3 = 12 and 4 + 4 + 4 =12.
Building Multiplication Facts and Tables
Arrays can be used for building multiplication facts in a meaningful way. Before drilling and memorising tables, children must understand how these facts are derived. For example, by progressively adding another column of three objects, children can build the three-times tables for themselves. This representation not only assists in understanding the process, but provides a visual image for children to draw upon as they begin to use and memorise the basic number facts.
Using arrays to explore larger numbers
Arrays can be helpfully used to explore calculations such as 13 x 5 where the array can be split into useful chunks such as 10 and 3. This means that children can use their known number facts to work out calculations.
Here 13 x 5 = (10 x 5) + (3 x 5).
After a while drawing all the dots can get very tedious! The blank array then becomes a very useful tool for helping children model their thinking and work out how to do more complex multiplications in an informal way.
Here's a child using the blank array, as a thinking tool, to help them work out 15 x 14.
The blank array helps children to use other strategies, such as compensating, when carrying out multiplication. Here, to work out 34 x 9, the child has decided to do 34 x 10 and then take off the 34 x 1.
Beyond the blank array this 'dividing the multiplication into easy parts' strategy can be formalised into the grid method. The children can see how the 'abstract' grid method overlays the array and formalises the blank array into a standard form.
Division as the Inverse Operation of Multiplication
Of the four operations, division is the most troublesome for young students. Full understanding of division tends to lag well behind the other operations. For many children opportunities to explore the concept with concrete materials are curtailed well before they perceive the relationships between division and the other three operations. One such relationship, the inverse relationship between division and multiplication, can be effectively illustrated using arrays.
For example; 3×5=15 or 3 rows of 5 make 15, can be represented by the following array.
Looking at the array differently reveals the inverse, that is
15÷3=5 or 15 put into 3 rows makes 5 columns - or 5 in each row.
Language clearly plays an important role in being able to express the mathematical relationships and the physical array supports this aspect of understanding by giving the children a concrete image to talk about.
Placing the mathematics into a real-life context through word problems can facilitate both understanding of the relationship and its expression through words.
For example, "The gardener planted 3 rows of 5 seeds. How many seeds did she plant?" poses quite a different problem to "The gardener planted 15 seeds in 3 equal rows. How many seeds in each row?" yet both these word problems can be modelled using the same array.
Further exploration of the array reveals two more ways of expressing inverse relationships: 5×3=15 and 15÷3=5 .
The word problems can be adapted to describe these operations and highlight the similarities and differences between the four expressions modelled by the one array.
Using the blank array
Suppose you want to figure out 176 ÷ 8. We can set this up as an array with the value of one side missing.
Using known multiplication facts the value of the missing side can be built up.
So the child can see that 22 lots of 8 is the same as 176.
The array is a very powerful tool for supporting the development of children's thinking around both multiplication and division.
The number of apple slices placed in 5 different pies is listed below. 94, 90, 82, 94, 85 What is the difference between the mean and the mode of these numbers?
Answer:
Mode: 94
Mean: 89
Difference between them: 5
Step-by-step explanation:
John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?
Answer:
24
Step-by-step explanation:
-------- 24 --------
Hope that helps
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of information:
the amount of plant food remaining in the container after each day’s feeding
the height of the plant over time
Ryan found that the amount of plant food remaining decreased an equal amount each day, and he used the entire 72 milliliters by the end of his study.Which statement is true about the relationship between the amount of plant food remaining and the number of days?
A:This relationship is a function because more than one amount of plant food remains each day.
B:This relationship is not a function because more than one amount of plant food remains each day.
C:This relationship is not a function because only one amount of plant food remains each day.
D:This relationship is a function because only one amount of plant food remains each day.
Answer:
B: This relationship is not a function because more than one amount of plant food remains each day
Step-by-step explanation:
It is given that Ryan did an experiment by observing the effects of plant food and the growth of the sprouting bean plant. He made a note of the height of the bean plant and the amount of food remaining in the container for the plant after feeding each day.
Thus he observed that the plant food in the container decreases by an equal amount everyday as the bean plant grew. Thus this states that it is not a function between the two as there are more than one plant food remaining each day for the plant.
A relationship is a function when one element belongs to one thing.
please help!!!! due soon!!
How to graph y= 2x -2
Answer:
start at the y coordinate -2 then go up 2 and right 1
Step-by-step explanation:
which shows the numbers in order from least to greatest?
3.93,3.51,3.72,3.19
3.19,3.51,3.72,3.93
Step-by-step explanation:
3.19=3.2
3.51=3.5
3.72=3.7
3.93=3.9
you take over the number kn the tenth .... if its 1 234 you round down and if its 5 or more you round up... simple
The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch bat is only available online. To protect the bat, it must be shipped so the handle of the bat is in one corner of the box and the top portion of the bat touches the opposite diagonal corner.The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.
Answer:
Width of the box = 18.97 inches
Step-by-step explanation:
Length of the bat = 36 inches.
That means length of the diagonal of the bat (BC) = 36 inches
By applying Pythagoras theorem in right triangle BDC,
BC² = BD² + CD²
BC² = (30)² + w² -------(1)
BY applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
(36)² = 6² + BC²
By substituting the value of BC from equation (1),
(36)² = 6² + (30)² + w²
1296 = 36 + 900 + w²
w² = 1296 - 936
w = √360
w = 18.97 inches
The sum of two numbers is 58. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
x=38 Larger number
y=20 Smaller number
Step-by-step explanation:
38+20=58
Please help me thanks :))
Answer:
What do you need help with?
Select the reason that the best supports statement 6 in the given proof
Answer: Substitution
I hope this helps!:)
Substitution is the reason that the best supports statement 6 in the given proof
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that ∠A=∠B, ∠A= 55 and ∠B=5x+10
We need to prove x=9
The given statements and reasons are given as below
∠A≅∠B (By given)
∠A=∠B (Congruency)
m∠A=55 (By given)
55=m∠B (Substitution)
m∠B=5x+10 (Given)
55=5x+10(Substitution)
45=5x
x=9 (Division property of equality)
Hence, substitution is the reason that the best supports statement 6 in the given proof
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
A question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees
Geometry//// volume of a cylinder ✨✨✨✨
Answer:
595.82 cubic feet
Step-by-step explanation:
The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.
Now multiply 18.0625 by 10.5 to get 189.65625.
Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)
Mathematics pls help me.
Answer:
I think the answer may be 465
Step-by-step explanation:
105+115=220
150+95=245
245+220=465
The volume of a cylinder measures 2,797.74 in. The radius of the cylinder is 9 in. Determine the height.
Answer:
11 inches
Step-by-step explanation:
V(cylinder) = πr²·h
2797.74 = 81π·h
h = 2797.74 ÷ 81π
h ≈11
Triangle XY Z has vertices X = (5, -1), Y = (1, 4), and Z=
(-8,0). Triangle X'Y'Z' is formed when triangle XYZ is
reflected over the y-axis. What are the coordinates of
triangle X'Y'Z'?
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
X (5, - 1 ) → X' (- 5, - 1 )
Y (1, 4 ) → Y' (- 1, 4 )
Z (- 8, 0 ) → Z' (8, 0 )
The time spent studying in hours on a daily basis of nine different students was used to create the box plot shown above. Which of the sets of times below matches the given box plot?
Answer:
B.) 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
Step-by-step explanation:
From the box plot, we can obtain the 5 - Numbe summary and compare with the values in the options given :
Kindly note that each tick mark on the box plot is seperated by a unit of 0.25
Minimum = 0 (starting point of left whisker)
Lower quartile = 0.25 (start point of box)
Median = 0.5 (point in between the box)
Upper quartile = 1.25 (end point of the box)
Maximum = 2.5 (end point of right whisker)
In ascending order we have ;
0, 0.25, 0.5, 1.25, 2.5
The data which best matches the plot is 0, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1.5, 2.5
48% as its simplest fraction
Answer:
12/25
Step-by-step explanation:
Percent means out of 100
48% means 48/100
Divide top and bottom by 4
12/25
Find the gradient of the following line
Answer:
y=-2.6+2
Step-by-step explanation:
using the eqaution y=mx+c
Find l.
I= [?] ft
9 ft
4 ft
PLEASE PLEASE HELP MEEEEEE IM DESPERATE
Answer:
[tex]\sqrt{85}[/tex] ft
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side in any right triangle,
Essentially, look at it as if it was flat.
a is half of the diameter, so 2 ft.
b is your height, 9ft
[tex]a^{2} +b^{2} =c^{2} \\2^{2} +9^{2} =c^{2} \\4+81= c^{2}\\\sqrt{85}=c[/tex]