Answer:
A (-4,3)Step-by-step explanation:
THe formula for calculating midpoint is expressed as;
M(X, Y) = {(x1+x2/2), y1+y2/2}
Given
Midpoint = (2, 5)
K = (8, 7)
Required
Coordinate of M
X = x1+x2/2
2 = 8+x2/2
4 = 8+x2
x2 = 4-8
x2 = -4
Similarly;
Y = y1+y2/2
5 = 7+y2/2
10 = 7+y2
y2 = 10-7
y2 = 3
Hence the coordidates of M is at (-4,3)
You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14
Answer:
9 candies
Step-by-step explanation:
You are required to find the number of candies in your pocket
Let
x = number of candies in your pocket
A friend gives you five more candies.
Total candies = 14
This can be represented by the equation:
Total candies = candies in your pocket + candies your friend gave you
14 = x + 5
14 - 5 = x
9 = x
x = 9 candies
x = number of candies in your pocket = 9
reflect C over the y axis
Answer:
C' (- 3, 2 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
C (3, 2 ) → C' (- 3, 2 )
HELP PLEASE
identify the solution to the system of equations
Answer:
solved graphically,
it's just the point where the two lines intersect
PLEASE HELP 30 POINTS
Answer:
B, B, C, and im not sure about the last one
Step-by-step explanation:
I NEED HELP PLEASE!!!!!!
Answer: 26
Step-by-step explanation:
I dont know if this was the right answer, I just divided
Answer:
26 smaller bags
Step-by-step explanation:
Help please!!! retake question
PR / Sin(Q) = QR / Sin(P)
53 / Sin(90) = 45 / Sin(P)
53 / 1 = 45 / Sin(P)
Sin(P) = 45 / 53
Sin(P) = 0.8490566038
P = 58.11 degrees
Answer:
58.11°
Step-by-step explanation:
tan P = 45/28 = 1.607
< P = tan`¹ 1.607 = 58.11°
can someone help please
Answer:
the temperature is above zero
Step-by-step explanation:
hope it helps
Question 5: Write each of the following in the form 9^n
(a) 81
(b) 3
(C) 27
Answer:
a) 9^2
b) 9^(1/2)
c) 9^(3/2)
Step-by-step explanation:
It is perhaps easier to start by using 3^n.
3 = 3^1
27 = 3^3
81 = 3^4
Recognize that 3 = 9^(1/2) and replace 3 in each of the above. The applicable rule of exponents is (a^b)^c = a^(bc).
a) 81 = (9^(1/2))^4 = 9^2
b) 3 = 9^(1/2)
c) 27 = (9^(1/2))^3 = 9^(3/2)
Answer:
(a) 9^2
(b) 9^0.5
(c) 9^1.5
Step-by-step explanation:
We need to find n such that 9^n = value indicated.
Recall that n=2 is a square, so
(a) 9^2=9*9=81
Recall that n=0.5 (or 1/2) is a square root, because 9^0.5 * 9^0.5 = 9^1 = 9, so
(b) 9^0.5 = 3, because 3*3 = 9
Recall that multiplication of two powers with the same base is the sum of the exponents, e.g. 9^a * 9^b = 9^(a+b).
Therefore,
(c) 27 = 9*3 = 9^1 * 9^0.5 = 9^(1+0.5) = 9^1.5
If 4x−9y=−1 is a true equation, what would be the value of 6+4x−9y?
Answer:
5
Step-by-step explanation:
4x-9y= -1
so change 4x-9y to 1 in
6+(-1) = 5
Answer:
4x-9y=-1
4x=-1+9y
Step-by-step explanation:
6+4x-9y
6+(-1+9y)-9y
6-1+9y-9y
5+0
5
Please help?
(No link <3)
Answer:
200
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?
Answer:
i believe the answer is 1/9, sry if im wrong
Step-by-step explanation:
The ages and grades of some of the 17 girls on a club soccer team are
shown in the table.
15 years old
16 years old
0
2
9th grade
10th grade
10
Which two-way frequency table correctly shows the marginal frequencies?
A. 9th grade, 15 years old: 2. 16 years old: 0. total: 2. 10th grade, 15 years old: 15. 16 years old: 10. total: 25. total, 15 years old: 17. 16 years old: 10. total: 27.
Answer:
Table DStep-by-step explanation:
Looking at the tables, we observe that:
A. Total number is 27, but should be 17 ⇒ incorrectB. First column total is wrong; 2 + 5 = 10 ⇒ incorrectC. Total is 19, but should be 17 ⇒ incorrectD. All look correctAnswer:
The answer is D.
Step-by-step explanation:
select the correct answer from the drop-down menu
1.
2
3
4
5
6
7
T
9
8
10
11
This graph represents the inequality
1. X + 2 <4
2. 2x > 3
3. X + 6 < 12
4. 2x > 12
Answer:2x>3
Step-by-step explanation:
2
>
3
3
+
6
<
1
2
4
2
>
1
2
I need help with number 4!
Answer:
x = -8, y = 6
Step-by-step explanation:
x + 2y = 4 ------(1)
x + y = - 2
y = - x - 2 ----------(2)
Substitute y in (1)
x + 2(- x - 2) = 4
x - 2x - 4 = 4
- x = 4 + 4
x = -8
Substitute x in (2)
y = - (- 8) - 2 = 8 - 2 = 6
convert 374F in base 16 to octal
33517
Step-by-step explanation:Method 1
Given:
374F in base 16
To convert to octal;
(i) convert each digit in the number to binary
3 = 0011
7 = 0111
4 = 0100
F = 1111
(ii) join the bits together starting from the first i.e
374F = 0011 0111 0100 1111
(iii) starting from the right to left, group the bits together, each group having 3 bits
374F = 0 011 011 101 001 111
(iv) the group with number of bits less than 3 should be padded with zero.
374F = 000 011 011 101 001 111
(v) convert each of the groups in (iv) above to decimal as follows:
000 = 0
011 = 3
011 = 3
101 = 5
001 = 1
111 = 7
(vi) combine the result above to get;
033517
The first zero can be removed
33517
Therefore, the number in octal is 33517₈
Method 2
Given:
374F in base 16
To convert to octal;
i) convert the number to decimal as follows;
a. Multiply each digit by 16 raised to the power of one less than their position starting from the leftmost digit.
=> 3 is at position 4, so we have
3 x 16⁴ ⁻ ¹ = 3 x 16³
=> 7 is at position 3, so we have
7 x 16³ ⁻ ¹ = 7 x 16²
=> 4 is at position 2, so we have
4 x 16² ⁻ ¹ = 4 x 16¹
=> F is at position 1, so we have
F x 16¹ ⁻ ¹ = F x 16⁰
b. Add each of the terms found in (a) together.
(3 x 16³) + (7 x 16²) + (4 x 16¹) + (F x 16⁰)
c. Remember that F = 15 in decimal. Therefore, substitute F = 15 into the result in (b)
(3 x 16³) + (7 x 16²) + (4 x 16¹) + (15 x 16⁰)
d. Solve the result in (c)
(3 x 4096) + (7 x 256) + (4 x 16) + (15 x 1)
12288 + 1792 +64 + 15
14159
Therefore,
374F in decimal is 14159
(b) Now convert the decimal to octal by dividing by 8 and noting the remainder.
8 | 14159
8 | 1769 r 7
8 | 221 r 1
8 | 27 r 5
8 | 3 r 3
| 0 r 3
Taking the remainders from bottom up gives
33517₈
Therefore, the number in octal is 33517₈
What rule(function) does the table below represents?
Answer:
The function that represents the table is [tex]f(x) = 15\cdot 2^{x+1}[/tex].
Step-by-step explanation:
The table represents the following rule: A function whose initial values are [tex]x = -1[/tex] and [tex]f(x) = 15[/tex], as for each increase of the input by -1, the output is doubled. Mathematically speaking, we construct the following geometric progression:
[tex]f(x) = a_{o}\cdot 2^{x-x_{o}}[/tex] (1)
Where:
[tex]a_{o}[/tex] - Initial output.
[tex]x_{o}[/tex] - Initial input.
[tex]x[/tex] - Input
[tex]f(x)[/tex] - Output
If we know that [tex]a_{o} = 15[/tex] and [tex]x_{o} = -1[/tex], then the function that represents the table is:
[tex]f(x) = 15\cdot 2^{x+1}[/tex]
Find the area and round to the nearest tenth. Giving brainlessly
Answer:
38.6 sq ft
Step-by-step explanation:
This composite figure consists of a trapezoid and a triangle on top
A(trapezoid) = 1/2h(sum of bases)
= 1/2(3.6)(7+9)
= 8(3.6)
= 28.8
A(triangle) = 1/2bh
base = 7
height = 6.4-3.6 which is 2.8
A = 1/2(7)(2.8)
= 3.5(2.8)
= 9.8
28.8 + 9.8 = 38.6
Which set of numbers shows all the factors of 18?
18, 36, 54, 72, 90
9, 18, 27, 36
1, 3, 6, 18
1, 2, 3, 6, 9, 18
Answer:
last set
Step-by-step explanation:
1 x 18 = 18
2 x 9 = 18
3 x 6 = 18
Answer The last set
:
Step-by-step explanation:
I need help plss!! Thankyou in advance!!
The sum of Bill's age and
Nancy's age is 45. In three years, bill will be three times as old as Nancy
was four years ago. Create a system of linear equations to represent the relationship between
Bill's age and Nancy's age. Solve the system graphically to determine how old Bill and Nancy are
today?
Answer:15
Step-by-step explanation:
Someone help pleaseee anyone???
Answer:
Step-by-step explanation:
the answer is d
b/c when you see the parabola lie in -3<x>1
it is down ward because the function is negative
What is the answer ?
Answer:
A. AB≈ DE
is the answer to this question
Geometry/////
✨find the surface area of the right cone shown. (Around the result to two decimal place)✨
Answer:
A = 388.58 cm^2
Step-by-step explanation:
For a cone whose base has a radius R, and a hypotenuse S, the area is:
A = pi*R^2 + pi*R*S
Where pi = 3.14
In this case, we can see that the diameter is: 15cm
Then the radius, half of the diameter, is:
R = 15cm/2 = 7.5cm
The hypotenuse is 9cm, then S = 9cm
A = 3.14*(7.5cm)^2 + 3.14*(9cm)*(7.5cm) = 388.575 cm^2
Rounding to two decimal places, we need to look at the third one, which is a five, so we need to round up:
A = 388.58 cm^2
pls helppp!!! -------
Answer:
∠ A ≈ 44.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{7}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 44.42° ( to the nearest hundredth )
Identify a, b and c in the quadratic equation.
-x2 + 31x + 7 = 0
Answer:
a is -1
b is 31
c is 7
Step-by-step explanation:
-x^2+31x+1=0
ax^2+bx+c=0
What conclusion can be determined from the dot plot below? A. The median of the data set is 3. B. The mean of the data set is 3. C. The range of the data set is 5. D. The number of observations is 15.
Given:
Consider the below figure attached with this question.
To find:
The conclusion that can be determined from the dot plot.
Solution:
The number of dots in the dot plot is 15. So, the number of observations is 15 and option D is correct.
The data set represented by the dot plot is:
2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6
Number of observations is 15, which is an odd number. So, the median of the data set is:
[tex]Median=\dfrac{15+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{16}{2}\text{th term}[/tex]
[tex]Median=8\text{th term}[/tex]
[tex]Median=4[/tex]
The median of the data set is 4. So, option A is incorrect.
Mean of the data set is:
[tex]Mean=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]
[tex]Mean=\dfrac{2+2+3+3+3+4+4+4+4+4+5+5+5+6+6}{15}[/tex]
[tex]Mean=\dfrac{60}{15}[/tex]
[tex]Mean=4[/tex]
The mean of the data set is 4. So, option B is incorrect.
The range of the data set is:
[tex]Range = Maximum - Minimum[/tex]
[tex]Range = 6-2[/tex]
[tex]Range = 4[/tex]
The range of the data set is 4. So, option C is incorrect.
Therefore, the correct option is D.
Two similar pyramids have base edges 3 and 5. Find the following (use a colon between the numbers):
a) the ratio between their altitudes =
b) the ratio between their base areas =
c) the ratio between their lateral edges =
d) the ratio between their volumes =
e) the ratio between their lateral areas =
Step-by-step explanation:
a) the ratio between their altitudes = 3:5
b) the ratio between their base areas = 9:25
c) the ratio between their lateral edges = 3:5
d) the ratio between their volumes = 27:125
e) the ratio between their lateral areas =9:25
50 points
urgent plssss help
[tex] {5}^{2x + 1} \div 25 = 125[/tex]
pls show work
Answer:
[tex] {5}^{2x + 1} \div 25 = 125[/tex]
[tex] {5}^{2x + 1} \div 5² = 5³[/tex]
doing crisscrossed multiplication
[tex] {5}^{2x + 1}=5³×5²[/tex]
In multiplication common numbers is added
[tex] {5}^{2x + 1}=5^{3+2}[/tex]
If there is a same term than it can be add ,subtract .
;.
2x+1=5
2x=5-1
x=[tex] 4\div 2 [/tex]
x=2 is a required answer.
10.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
Find two numbers that multiply to be -18 and add up to be -7
Pls help I need help with 4 I need a answer and a explanation pls
Answer:
because it has the words "less than", the "-2" is after the multiplication which is "2n" so the answer is...
D.) 2n-2
Step-by-step explanation: