Find the indicated term in the sequence.
Please show steps too! Thank you.
Answer:
Value of An if n is 17 = -834
Step-by-step explanation:
Given:
A100 = 245
d = 13
n = 17
Find:
Value of An if n = 17
Computation:
An = a + (n-1)d
A100 = a + (100-1)13
245 = a + (99)17
245 = a + 1,287
a = 245 - 1,287
a = -1,042
So,
Value of An if n = 17
An = a + (n-1)d
A17 = -1,042 + (17-1)(13)
A17 = -1,042 + (16)(13)
A17 = -1,042 + 208
A17 = -834
Value of An if n is 17 = -834
Question 9
The triangles shown are
Answer:
The triangles shown are proportional
Step-by-step explanation:
Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.
B = N
M = M
12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.
Side MN would be 12
Side MP would be 16
Calculate the area of the figure.
HELP
Answer:
Step-by-step explanation:
A=bh A=7*8 A=56units^2
Answer:
34
Step-by-step explanation:
i think its 34
Answer each question and round your answer to the nearest whole number
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W
Given:
In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle UWY=91-7x[/tex]
To find:
The measure of angle XYV.
Solution:
Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.
If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.
[tex]\angle XYV \cong \angle UWY[/tex] [Corresponding angle]
[tex]m\angle XYV=m\angle UWY[/tex]
[tex]7x+21=91-7x[/tex]
We need to solve this equation for x.
[tex]7x+7x=91-21[/tex]
[tex]14x=70[/tex]
[tex]x=\dfrac{70}{14}[/tex]
[tex]x=5[/tex]
Now,
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle XYV=7(5)+21[/tex]
[tex]m\angle XYV=35+21[/tex]
[tex]m\angle XYV=56[/tex]
Therefore, the measure of angle XYV is 56 degrees.
plzzzzzzzzzzzzz helpppppppppppppp
Answer:
Question 25:[tex]6[/tex]
Question 19:[tex]16[/tex]
Step-by-step explanation:
Question 25:[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]
[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]
[tex]y = 3( 2 - \frac{x}{12} )[/tex]
[tex]y = 6 - \frac{x}{4} [/tex]
[tex]y = - \frac{x}{4} + 6[/tex]
Question 19:[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 18[/tex]
To find the c value ,
[tex]c = ( \frac{b}{2} {)}^{2} [/tex]
divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth
Answer:
4.03cm
Step-by-step explanation:
Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.
To get the diameter, we will use the pythagoras theorem as shown;
d² = 7² + 4²
d² = 49 + 16
d² = 65
d = √65
d = 8.0622577
Since radius = d/2
radius = 8.0622577/2
radius = 4.0311288
Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm
The stem-and-leaf plot shows the number of broken crayons in each crayon box at a preschool. What is the greatest number of broken crayons in a box? A 7 crayons B 47 crayons c 477 crayons d 1469 crayons
Answer:
47
Step-by-step explanation:
Values on a stem and leaf plot can be obtained by using the key :
Stem | leaf
With each value in the stem representing the first digit and the value in the leaf denoting the second digit.
The highest stem value here is 4 and the highest leaf value is 7.
Hence, the highest number of broken crayon is 47.
Ashley uses a mix of six base-ten blocks to model a 3 digit number. All 3 digits of the number are the same. What is the number?
Answer:
The number is 222
Step-by-step explanation:
The given parameters are;
The method Ashley models the 3 digit number = A mix of six base-ten blocks
The digits of the 3 digit number are equal
Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;
Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;
x = y = z...(1)
x + y + z = 6...(2)
Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;
x + y + z = x + x + x = 6
∴ 3·x = 6
∴ x = 6/3 = 2
x = 2 = y = z
Therefore, the 3-digit numbers xyz = 222
Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)
Can someone help me? Fast!
Answer:
1/3 n - 3 > 6; n = 9
Step-by-step explanation:
1/3(9) - 3 > 6
3 - 3 > 6
0 > 6
To get the x and the y
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]
; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13
[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]
; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x
y = 2x + 1 y = 3x - 1
Answer:
i think the answer is B
Step-by-step explanation:
5=6-1
5=5
just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :
2x + 1 = 3x - 1
Add both sides 1
2x + 1 + 1 = 3x - 1 + 1
2x + 2 = 3x
Subtract both sides 2x
2x - 2x + 2 = 3x - 2x
x = 2
( This is the x-coordinate of intersection point )
_________________________________
Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :
y = 2x + 1
y = 2(2) + 1
y = 4 + 1
y = 5
_________________________________
Thus :
intersection point = ( 2 , 5 )
So the correct answer is option B .
What is geometric mean of 4 and 32???????
Answer: 18
Step-by-step explanation:
I just found the number in between
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{4(32)}[/tex]
= [tex]\sqrt{128}[/tex]
= [tex]\sqrt{64(2)}[/tex]
= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]
= 8[tex]\sqrt{2}[/tex]
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Answer:
x = 10% saline solution = 190 mililiters
y = 60% saline solution = 10 mililiters
Step-by-step explanation:
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Let
x = 10% saline solution
y = 60% saline solution
x + y = 200
x = 200 - y
10% × x + 60% × y = 200 × 12.5 %
Hence:.0.1x + 0.6y = 25
Substituting 200 - y for x
0.1(200 - y) + 0.6y = 25
20 - 0.1y + 0.6y = 25
- 0.1y + 0.6y = 25 - 20
0.5y = 5
y = 5/0.5
y = 10 milliliters
Solving for x
x = 200 - y
x = 200 - 10
x = 190 mililiters
How do this I can’t do it?
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, scaled copy to original
scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 2x
Step-by-step explanation:
x represents the amount of attendees. y is the total amount of money they get.
Which relation is a function?
{(5, 0), (0, 1), (5, 2), (4,4)}
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
{(3, 2), (2,1), (−1, 2), (3,3)}
{(1, 2), (2,4), (−1, 2), (0,3)}
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) {(1, 2), (2,4), (−1, 2), (0,3)}
»»————- ★ ————-««
Here’s why:
A function is a relation in which one element of the domain is assigned to exactly one element of the range. This means that the domain (x) values must not repeat.⸻⸻⸻⸻
Option A's answer is incorrect, as the domain value of '5' repeats.
{(5, 0), (0, 1), (5, 2), (4,4)}
⸻⸻⸻⸻
Option B is not a function due to the repeating '-4' value.
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
⸻⸻⸻⸻
The '3' in option C's given relation repeats.
{(3, 2), (2,1), (−1, 2), (3,3)}
⸻⸻⸻⸻
Option D is the correct answer, as there are no domain values that repeat.
{(1, 2), (2,4), (−1, 2), (0,3)}
Therefore, option D is a function.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which function has the least rate of change?
hey! pls help i’ll give brainliest
Answer:
landslide
Step-by-step explanation:
Answer:
I believe that the answer might be the second one
Volcanic Eruption
Which of the following is the converse of the statement "If it is snowing,then
it is my birthday"?
O A. If it is not my birthday, then it is snowing.
O B. If it is my birthday, then it is snowing.
C. If it is not my birthday, then it is not snowing.
D. If it is my birthday, then it is not snowing.
Answer:
B)
Step-by-step explanation:
to get the converse, interchange the hypothesis and conclusion
in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"
Converse would then be "If it is my birthday, then it is snowing"
HELP ASAP, i don't get this
find the area of the following figure
Answer:
6
Step-by-step explanation:
First side times hight or 3x4=12
12 is a whole square, but this is a triangle (Half of a square)
So we divide by 2 to find the area. 12/2=6
6
Answer:
Area=6
Step-by-step explanation:
Since the measurements of this right angle is 3 and 4 you have to multiply them together to get 12 but then you must divide that answer by 2 making the answer 6
Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%
Answer:
0.25 and 25% are equivalent
Step-by-step explanation:
While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of
students in the entire class.
Answer:
20
Step-by-step explanation:
Do 15 divided by 0.75
simplify
√(8+2√15)
Please hurry
Decimal form is 3.96811878
i give u brainliest if u answer
Answer: B & D
Step-by-step explanation:
A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?
Answer:
She swims 9m in one second
Step-by-step explanation:
For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth
Answer:
5.8
Step-by-step explanation:
According to a Numbeo report, the average cost of milk in the US today is $3.12 per gallon What is the equivalent cost of milk in Pakistani rupees per liter? 1$= 155.00 rupees 1 gallon=3.8 liters
Answer:
40.78 rupees per liter
Step-by-step explanation:
Given data
The average cost of milk in the US today is $3.12 per gallon
1$= 155.00 rupees
1 gallon=3.8 liters
Hence the average cost in pakistani rupees will be
=155/3.8
=40.78 rupees per liter