Answer:
It should be B, 180 cm
Step-by-step explanation:
x = circumference of circle D
18/360 = 9/x
9*360 = 18x
9*360/18 = x
x = 180
A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?
Hello,
[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈13 (frogs)
Answer:
12 frogs
Step-by-step explanation:
Hello,
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.
ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.
what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
hi friend I can help you in this geometry work via Wazapp
Solve for X.
-8x - 4(x - 4) = 88
Please show work
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge x=-6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: x = -6
Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.
So we have -8x - 4x + 16 = 88.
Simplifying the left side further gives us -12x + 16 = 88.
Now subtract 16 from both sides to get -12x = 72.
From here it should be easy to find the x = -6.
solve: 7m + 12 = −4m + 78
7m + 12 = -4m + 78
7m + 4m = 78 - 12
11m = 66
m = 6
I hope you understand...
Mark me as brainliest...
factor completely 8y2 + 6y + 1
Answer:
Step-by-step explanation:
8y²+6y+1
=8y²+4y+2y+1
=4y(2y+1)+1(2y+1)
=(2y+1)(8y+1)
If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the
equation of the new function?
A. g(x) = (x+ 10)
B. g(x) = x2 + 10
C. g(x) = (x - 102
D. g(x) = x2 - 10
Answer:
A.
Step-by-step explanation:
The equation of the new function is g(x) = f(x-10) = (x -10)²
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.
If the quadratic parent function, f(x) = x² moves right 10 units,
Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²
Learn more about graph here:
brainly.com/question/16608196
#SPJ2
Find the length of line segment XY, assuming that M is the midpoint of XY
Answer:
Step-by-step explanation:
M is the midpoint. SO length of XM equals length of MY
MY = XM
9x + 12 = 5x + 8
Subtract 12 from both sides
9x = 5x +8 - 12
9x = 5x - 4
Subtract 5x from both sides
9x - 5x = -4
4x = -4
Divide both sides by 4
x = -4/4
x = -1
XY = 5x + 8
= 5*(-1) + 8
= -5 + 8
XY = 3
MY = 9x + 12
= 9*(-1)1 + 12
= -9 + 12
MY = 3
X Y = 3+3
XY = 6
Help and explain !!!
Answer:
7
Step-by-step explanation:
2(5) -3
10-3
7
What is the surface area
PLEASE HURRY
perform the following series of rigid transformations on ∆abc
translate triangle abc by moving it 5 units to the right and 2 units up
Draw the line y=-x and reflect Triangle A’B’C’ across the line
Rotate A’’B’’C’’ counterclockwise about the fact origin by 270 degress
Answer:
Step-by-step explanation:
Coordinates of the vertices of ΔABC,
A(-6, -1), B(-3, -3), C(-1, -2)
Step - 1
Rule for the translation of a point (x, y) by 'h' units right and 'k' units upwards,
A(x, y) → A(x + h, y + k)
If ΔABC is translated by 5 units right and 2 units up, image points will be,
A(-6, -1) → H(-6 + 5, -1 + 2)
→ H(-1, 1)
B(-3, -3) → J(-3 + 5, -3 + 2)
→ J(2, -1)
C(-1, -2) → K(-1 + 5, -2 + 2)
→ K(4, 0)
Step - 2
If the image triangle HJK is reflected across a line [tex]y=-x[/tex], rule for the reflection will be,
H(x, y) → A'(-y, -x)
By this rule,
H(-1, 1) → A'(-1, 1)
J(2, -1) → B'(1, -2)
K(4, 0) → C'(0, -4)
Step - 3
Rule for the rotation of a point 270° counterclockwise about the origin,
A'(x, y) → A"(y, -x)
By this rule, image points of ΔA'B'C' will be,
A'(-1, 1) → A"(1, 1)
B'(1, -2) → B"(-2, -1)
C'(0, -4) → C"(-4, 0)
Now we can graph the image triangle A"B"C".
Answer:
(∠ABC) 108 (for all)
(∠ACB) 27 (for all)
(∠CAB) 45 (for all)
Step-by-step explanation:
Which number is an integer?
A) -9,248.3
B) 35,749.087
C)10,839
D -16/17
Answer:
C) 10839
Step-by-step explanation:
.For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.
pls can anyone solve this step by step
Answer:
factorize first
16x^3y^2=2×2×2×2×x×x×x×y×y
24x^2y^3=2×2×2×3×x×x×y×y×y
take common=2×2×2×x×x×y×y
=8x^2y^2 which is the write answer
find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20
Answer:
The sum of the first 20 terms is -1440.
Step-by-step explanation:
We want to find the sum of the first 20 terms of the arithmetic sequence:
4, -4, -12, -20...
The sum of an arithmetic sequence is given by:
[tex]\displaystyle S=\frac{k}{2}(a+x_k)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term.
Since we want to find the sum of the first 20 terms, k = 20.
Our initial term a is 4.
Our last term is also the 20th term as we want the sum of the first 20 terms.
To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term, d is the common difference, and n is the nth term.
Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:
[tex]x_n=4-8(n-1)[/tex]
Then the last or 20th term is:
[tex]x_{20}=4-8(20-1)=4-8(19)=-148[/tex]
Therefore, the sum of the first 20 terms are:
[tex]\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}[/tex]
Answer:
- 1440
Step-by-step explanation:
First-term is 4 and we subtract 8 to get the next term so the general term is
a(n) = 4 - 8(n -1)
The sum of the sequence is the average of the first and last terms multiplied by the number of terms: (a1 + an)/2 * n
We need the 20th term: a20 = 4 - 8(20–1) = 12 - 160 = - 148
The sum is (4 - 148)/2 * 20 = 10*(-144) = - 1440
What is the gradient of a line perpendicular to a line with a gradient of -6?
Answer:
1/6
Step-by-step explanation:
Gradient of a line perpendicular to a line with a gradient of m = -1/m
Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6
2x+6=x-4
Solve this equation
The solution and answer are well written in the Pic above.
Answer:
x = 2
Step-by-step explanation:
2x + 6 = x -4
Subtract 6 from both sides
2x = x - 4 +6
2x = x + 2
Subtract 'x' from both sides
2x - x = 2
x = 2
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answer:
320-7.500
Step-by-step explanation:
Solve this equation : 12p-5=25
write step by step.
Answer:
P=2.5
Step-by-step explanation:
12p = 25+5
12p = 30
P =30/12
Simplification:
P= 15/6
= 5/2 = 2.5
After substituting, what is the first step when evaluating vegy 4 2 when x 6?
O Multiply 3 by 5
O Add 5 and 3
Subtract 4.2 from 5
Add 3 and 4.2 hurry I'm being timedd!!!
Answer:
Multiply 3 by 5
Step-by-step explanation:
After substituting, what is the first step when evaluating x+3x-4.2 when x=5
Given:
x + 3x - 4.2
when x = 5
Substitute x = 5 into the expression
x + 3x - 4.2
= 5 + 3(5) - 4.2
= 5 + 15 - 4.2
= 20 - 4.2
= 16.8
x + 3x - 4.2, when x = 5 is 16.8
After substituting, the first step when evaluating x + 3x - 4.2 when x = 5 is Multiply 3 by 5
Which table of values corresponds to the graph below?
Answer:
Step-by-step explanation:
No Graph
Help please? thank you
Answer:
Answer is A
Step-by-step explanation:
What is the degree & leading coefficient?
h(t) = 0.2t^3 - 4t^2 +20t
Answer:
degree=3
coefficient=0.2
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedvalue of x to be less than 0.0001.
Answer:
Fifth degree polynomial
Step-by-step explanation:
Given data:
e^0.3
error = 0.0001
let the function ; f(x) = e^x
note : x = 0.3
The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2! + x^3/3! --- + ∑ x^n/n!
= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- + ∑ (0.3)^n/n!
Attached below is the remaining part of the solution
Someone please help me ASAP!!! Worth 11 points
Answer:
A' = (-3, 0)
Step-by-step explanation:
The coordinates of point A are (-6, 2).
The translation adds 3 to x and subtracts 2 from y.
A'(-6 + 3, 2 - 2) = A'(-3, 0)
Answer: A' = (-3, 0)
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Answer:
12^(3/2)
Step-by-step explanation:
(2x6)^3/2
2x6=12
12^3/2= 41.5692193817
A shopkeeper has enough money to buy 40 books each costing Rs.125. How many books he can buy if he gets a discount of Rs.25 on each book ?
Answer:
48
Step-by-step explanation:
first , muntiply 40*125 = 5000( cost of 40 books in rs 125 each)
125-25 = 100
multiply 40*100= 4000
5000-4000= 1000
divide 1000/125 = 8
therefore , 40+8= 48
PLEASE ANSWER IT CORECTLY
Answer:
Q24=A
25=B
26=A
Step-by-step explanation:
Which is the equation of a line parallel to the line with the equation: y = 14x + 2
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Hi!
y = ax + b
y = 14x + 2 → a = 14 ∧ b = 2
Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12
An animal shelter estimates that it costs about $6 per day to care for each dog. If y represents the total cost of caring for a single dog for x days, which table models the situation?
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 15, 18. Column 2 is labeled y with entries 6, 9, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 12, 15, 18.
A 2-column table with 3 rows. Column 1 is labeled x with entries 36, 54, 72. Column 2 is labeled y with entries 6, 9, 12.
A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 9, 12. Column 2 is labeled y with entries 36, 54, 72.
Answer:
number a
Step-by-step explanation:
its a
Answer: the first graph
x y
12 6
15 9
18 12
Step-by-step explanation:
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answer:
Step-by-step explanation:
[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]
x = 10/3