Answer:
180
Step-by-step explanation:
I'll just manually compute this one. Every attempt she will add 2 more jumps.
Attempt Jumps Accumulated Jumps
1 6 6
2 8 14
3 10 24
4 12 36
5 14 50
6 16 66
7 18 84
8 20 104
9 22 126
10 24 150
11 26 176
12 28 204
Total jumps from 4th trip through 12th trip: 204 - 24 = 180 jumps
Four buses were filled with children and 20 children rode in cars for a field trip. Write an expression for how many children went on the field trip A.4c B.20c C.4c+20 D.4b+20c
Answer:
C. 4c+20
Step-by-step explanation:
If 4 buses are filled with kids, to get how many kids there are in total you would have to multiply the number 4, to represent the buses, times the number of kids in 1 bus, represented by C in this case. Then you would add 20 kids to represent the number of kids traveling in cars.
With that you have 4c+20.
El resultado de \(2^{40}+2^{39}+2^{36}\) es divisible por i) 8 ii) 10 iii) 100
Explanation:
We can factor out 8 like so
2^40 + 2^39 + 2^36 = 2^3*2^37 + 2^3*2^36 + 2^3*2^33
2^40 + 2^39 + 2^36 = 2^3*(2^37 + 2^36 + 2^33)
2^40 + 2^39 + 2^36 = 8*(2^37 + 2^36 + 2^33)
Showing that 8 is a factor of 2^40 + 2^39 + 2^36
In other words, 2^40 + 2^39 + 2^36 is divisible by 8
A rectangle has the sides: 7cm and 3cm. A square has the same perimeter as the rectangle. What is the side length if the square
Answer:
5
Step-by-step explanation:
Perimeter of the rectangle: 3+7+3+7=20
Square perimeter is same as rectangle, so square perimeter is also 20.
Side length is 20/4, which is 5
The mean of 5,x,10,6,12 is 9. Find x
Answer:
12Solution,
Summation FX= 5+10+6+12+X
=33+x
N(total no.of items)=5
Now,
Mean= summation FX/N
or 9=33+X/5
or 9*5=33+X ( cross multiplication)
or 45=33+X
or -x=33-45
or -x=-12
X=12
Hope this helps...
Good luck on your assignment..
Answer:
x = 12
Step-by-step explanation:
The mean calculated by adding all the numbers of a set and dividing it by the total number of numbers. In this case, we have five numbers, but we do not know what the sum of all the numbers is because one of the numbers in under the pronumeral x. The find this out we need to work backwards. We know that when all the five numbers are added we should get 45 (it is 9 time 5 as there are five numbers in the set). The next step is to subtract 45 from the number that we known (i.e. 45 - 5 - 10 - 6 - 12). This comes to 12.
To double-check if you got the right answer you could add all five numbers include the 12 and divide it by 5 to see if the answer is 9.
let f(x)=2x^2 and g(x)=x^-2 find f(g(x))
Answer:
2x^-4 or 2/x^4.
Step-by-step explanation:
We replace the x in f(x) by g(x).
f(g(x)) = 2 (x^-2)^2
= 2 x^(-2*2)
= 2x^-4
= 2/x^4.
2 Points
Classify the following triangle. Check all that apply.
A. Scalene
B. Isosceles
C. Right
D. Equilateral
E. Acute
F.Ootuse
Answer:
D and F
Step-by-step explanation:
Answer:
b isosceles and e acute
The probability that Stu buys a sandwich is 0.5.
The probability that Stu gets the bus is 0.7.
Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?
Answer:
probability that Stu buys a sandwich and gets the bus = 0.35
Step-by-step explanation:
Probability of success of two independent events is the product of the respective probabilities, i.e. the multiplication rule.
P(Sandwich) = P(S) = 0.5
P(Bus) = P(B) = 0.7
Assuming the events are independent,
probability that Stu buys a sandwich and gets the bus
= P(SB) = P(S)*P(B) = 0.5*0.7 = 0.35
Answer: 0.35
Step-by-step explanation:
First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich. Then, ignoring the other .5, there is a .7 chance that he makes the bus. Thus, 1/2 of .7 is 0.35.
Hope it helps <3
help!! i've solved the answer, but i'm still quite unsure. if it's okay, please include a brief explanation so i can have further understanding.
it's ok if u dont want to explain. just put the answer <3
Answer:
[tex]\frac{12}{45} \\= \frac{4}{15} \\\\ =0.2666...[/tex]
Step-by-step explanation:
Answer:
There's like a rule for repeating decimals, I'm not totally sure how to explain it but basically the denominator of the fraction that represents the repeating decimal will be 9 followed by some zeroes. The way to find the zeroes is the number of digits before the repeating digit. Then, the numerator is the digits before the repeating digit followed by the repeating digit subtracted by the digits before the repeating digit. In this case the answer is 24/90 = 12/45.
Pleaaaaase help!!!!
Answer:
see below
Step-by-step explanation:
sqrt(20)
sqrt(4*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(4) sqrt(5)
2 sqrt(5)
Answer:
We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].
given that sin x < cos x and 0° < x < 90°, state a possible value of x. explain your answer clearly.
Answer:
See below.
Step-by-step explanation:
When x has a value between 0 and 90 the values of sin x ranges from 0, if x = 0 and 1 , if x = 90 degrees.
The cosine of x has the reverse value: cos x is 1 for x = 0 and 0 for x = 90 degrees.
At x = 45 the sine and cosine are equal in value.
So for sin x < cos x the value of x must be between 0 and 45 degrees.
So a possible value of x is 30 degrees.
When x = 30 sin x = 0.5 and cos x = 0.866.
Jordan lives 6 kilometers due south of his parents' house and 4 kilometers west of his grandparents' house. On his birthday, Jordan drove from his house to his parents' house. From there, he drove in a straight line to his grandparents' house and then back home. How far did Jordan drive on his birthday? If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus
d² = 6² + 4² = 52
d = √52 = 7.2 km
The total distance that he drove on his birthday is
6 + 4 + 7.2 = 17.2 km
If f(x) = x - 3, which of the following is the inverse of f(x)?
O A. f-'(x) = x-3
O B. f-'(X) = x + 3
O c. f-'(X= 3x
O D. f-'(x) = 3 - x
Answer:
B. f^-1(x) = x+3
Step-by-step explanation:
Given the function f(x) = x-3, to get its inverse, the following steps mist be followed.
First we will make y = f(x)
y = x-3
Then we will make x the subject of the formula to have:
y+3 = x-3+3
y+3 = x
x = y+3
Finally, we will replace back y with x to have:
y = x + 3
f^-1(x) = x+3
This gives the inverse of the function.
Write a polynomial f(x)that satisfies the given conditions,
Polynomial of lowest degree with zeros of - 4 (multiplety 1), 3 (multiplicly 3), and with f(0)= 216,
Answer:
[tex]\boxed{\sf \ \ \ -2(x+4)(x-3)^3 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
let's note k a real, we can write the polynomial as
[tex]k(x-(-4))^1(x-3)^3=k(x+4)(x-3)^3[/tex]
and we know that f(0)=216 so
[tex]216=k(0+4)(0-3)^3=k*4*(-1)^3*3^3=-27*4*k=-108k\\\\<=> k=-\dfrac{216}{108}=-2[/tex]
So the solution is
[tex]-2(x+4)(x-3)^3[/tex]
hope this helps
Find the y-intercept of the parabola y = x2 – 8.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Answer:
-8.
Step-by-step explanation:
You can get the y-intercept when you find the y-value when x = 0.
y = x^2 - 8
y = 0^2 - 8
y = 0 - 8
y = -8
So, the y-intercept is -8.
Hope this helps!
Answer:
y = -8, if x2 mean 2 times x.
y = -7, if x2 mean X^2
Step-by-step explanation:
Y-intercept mean x = 0.
Plug x = 0, into the parabola, you get the answer.
please hellppp please hellpp
Answer:
- 3 and 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3 and y- intercept c = 5
Answer:
the slope (gradient) is -3, and the y-intercept is +5
Step-by-step explanation:
A line in the slope-intercept form
y = mx + b
has a slope of m and a y-intercept of b
Therefore for the line
y=-3x + 5
the slope (gradient) is -3, and the y-intercept is +5
Drag the yellow point until an accurate "height" of the triangle is drawn. What is the height?
Answer:
Drag it untill you get a right triangle . this is where you get the height
Inverse Functions (please help)
Answer:
The procedure for this case is add three, then divide by 5.
Step-by-step explanation:
if y=5x-3
to find the inverse, we exchange x and y then solve for the new y.
x=5y-3 add 3
x+3 = 5y divide by 5
(x+3)/5 = y
or
inverse, y=(x+3)/5
The procedure for this case is add three, then divide by 5.
Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: –5.7 –4 –1 –0.7
Answer:
-5.7
Step-by-step explanation:
OUR EQUATION IS A QUADRATIC EQUATION
Let Δ be our dicriminant :
a= 1b= 5c= -4Δ= 5²-4*1*(-4) =25 +16 =41≥0so we have two solutions x and y x= (-5-√41)/2 = -5.7Simplify the following expression: (1 point) 2x − 2y + 5z − 2x − y + 3z
Answer: -3y + 8z
Step-by-step explanation:
2x -2x = 0
-2y + - y= -3y
5z + 3z= 8z
-3y + 8z
The expression 2x − 2y + 5z − 2x − y + 3z is simplified as − 3y + 8z.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 2x − 2y + 5z − 2x − y + 3z
Simplify the expression, then we have
⇒ 2x − 2y + 5z − 2x − y + 3z
⇒ 2x − 2x − 2y − y + 5z + 3z
⇒ 0 − 3y + 8z
⇒ − 3y + 8z
The expression 2x − 2y + 5z − 2x − y + 3z is simplified as − 3y + 8z.
More about the simplification link is given below.
https://brainly.com/question/12616840
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Is Triangle ABC cong Triangle DEF? If so name the postulate that applies
Answer:
D. Congruent - SAS
Step-by-step explanation:
Two sides and the included angle of a triangle are congruent to the corresponding parts of another triangle.
The triangles are congruent by SAS.
On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).
Which point is on the line that passes through point R and is perpendicular to line PQ?
(–6, 10)
(–4, –8)
(0, –1)
(2, 4)
Answer:
(–4, –8) im positive
Step-by-step explanation:
plz give brainliest
The point (-4, -8) is on the line that passes throgh point R and perpendicular to line PQ option (B) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
Line P Q goes through (-6, 4) and (4, -4).
Point R is at (4, 2).
To find the point on the line that passes through (4, 2) and is perpendicular to line PQ.
First, calculate the slope of the line PQ:
[tex]\rm m =\dfrac{-4-4}{4-(-6)}[/tex]
m = -8/10
m = -4/5
The slope of the perpendicular to the line PQ:
M = -(1/m)
M = 5/4
The equation of the line has a slope 5/4 and passes through point R
y - 2 = (5/4)[x - 4]
Plug x = -4
y = -8
-8 - 2 = (5/4)[-4 - 4]
-10 = (5/4)[-8]
-10 = -10 (true)
Thus, the point (-4, -8) is on the line that passes throgh point R and perpendicular to line PQ option (B) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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Figure abcd is a square. Find the measure of < ABE
Answer:
45 degrees
Step-by-step explanation:
Because the shape is a square, all of the sides are equal and all of the angles are 90 degrees. From there you simply divide 90 by 2.
Answer:
∠ ABE = 45°
Step-by-step explanation:
The diagonals of a square bisect the angles, thus
∠ ABC = 90°, so
∠ ABE = 0.5 × 90° = 45°
Explain the steps you would take to find the quotient of 1/3 divided 4/3
Answer: 1/4
Step-by-step explanation: Here, we have 1/3 ÷ 4/3.
Dividing by a fraction is the same
as multiplying by its reciprocal.
In other words, we can change the division sign
to multiplication and flip the second fraction.
So here, 1/3 ÷ 4/3 can be rewritten as 1/3 × 3/4.
Now we're simply multiplying fractions.
Before multiplying however, always try to cross-cancel.
Notice that we can cross-cancel 3 and 3 to 1 and 1.
So we now have 1/1 × 1/4.
Multiplying across the numerators
and denominators, we have 1/4.
help me quickly please!!! what is the area of the composite figure if line AB is congruent to line BC which is congruent to line CD which is congruent to line DA which is congruent to DN?
(2pi+28)mm^2
(2pi+32)mm^2
(2pi+40)mm^2
(2pi+48)mm^2
======================================================
Work Shown:
Segments AB, BC, CD, DA, and DN are all the same length (4 units)
The semicircle has area of
A = (1/2)*pi*(radius)^2
A = 0.5*pi*2^2
A = 2pi
The square has area of
B = (side length)^2
B = 4^2
B = 16
The trapezoid has area of
C = (height)*(base1+base2)/2
C = (DN)*(CD+MK)/2
C = (4)*(4+8)/2
C = 24
Add up the results of A, B and C to get the total area
A+B+C = 2pi+16+24 = 2pi+40
The total area is 2pi+40 square mm
The area of the figure will be 2π + 40 mm². Then the correct option is C.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The figure is made by semicircle, square, and trapezium. Then the area is given as,
A = Area of a semicircle + Area of square + Area of trapezium
A = (π / 2) x r² + (AB)² + 1/2 x (CD + MK) x DN
A = (π / 2) x 2² + (2 x 2)² + 1/2 x (4 + 8) x 4
A = 2π + 16 + 24
A = 2π + 40 mm²
The area of the figure will be 2π + 40 mm². Then the correct option is C.
More about the area link is given below.
https://brainly.com/question/27683633
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Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x,y) to (x+4,y)
Answer:
The coordinates of r' are x = 10 and y = 12.
Step-by-step explanation:
The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:
Dilation with respect to origin
[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]
Translation
[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]
If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:
1) [tex](2,4)[/tex] Given.
2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.
3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.
4) [tex](6+4,12)[/tex] Translation.
5) [tex](10,12)[/tex] Vectorial sum. Result.
The coordinates of r' are x = 10 and y = 12.
Answer:
10,12 is the answer
Step-by-step explanation:
I just did it on a p e x
what is 1379 x 38 estimated
How to solve the equation 4×3−15÷3×2+1
Answer:
3
Step-by-step explanation:
We use Order of Operations BPEMDAS.
Step 1: Multiply
12 - 15/3(2) + 1
Step 2: Divide
12 - 5(2) + 1
Step 3: Multiply
12 - 10 + 1
Step 4: Subtract
2 + 1
Step 5: Add
3
Answer: 3
Step-by-step explanation:
PEMDAS
P: No parenthesis
E: No exponents
M and D: 4x3 = 12(12-15÷3×2+1), 15÷3 = 5(12-5×2+1), 5*2 = 10(12-10+1)
A and S: 12-10 = 2(2+1), 2+1=3(3)
Figure 6.21
From knowledge of the sum of the angles
at a point.
b By calculating the sizes of the angles of a
regular octagon using the (n - 2) × 180°
formula
Answer:
L
Step-by-step explanation:
360 hhjnjjuffdsaadtFind the measure of each angle: Complementary angles with measures (5x)° and (4x−18)°
Answer:
60° and 30°
Step-by-step explanation:
Since they are complementary, the 2 equations add up to 90°
5x + 4x - 18 = 90
9x - 18 = 90
9x = 108
x = 12
Simply plug in x to find our angles:
5(12) = 60°
4(12) - 18 = 48 - 18 = 30°
Answer:
5x = 60°, 4x - 18 = 30°
Step-by-step explanation:
Sum of complementary angles is 90°.
5x + 4x - 18 = 90
9x = 90+18
9x = 108
x = 12
5x = 5* 12= 60°
4x - 18 = 4*12 - 18 = 30°
In a geometric series, the first term is 108 and the common ratio is \frac{2}{3}. Find the sum of the first 8 terms.
Answer:
311.36
Step-by-step explanation:
For a geometric series sum of first n terms is [tex]a(1-r^n)/(1-r)[/tex]
if r is less than 1.
where a is the first term and r is the common ratio.
____________________________\
given
a = 108
r = [tex]\frac{2}{3}.[/tex]
n = 8
thus , sum of n term is
[tex]a(1-r^n)/(1-r)\\=>108(1-(2/3)^8)/(1-2/3)\\=> 108 (1 - 256/6561)/1/3\\=> 108(6561-256)/ 6561/1/3\\=> 108(6305)/2187\\=>311.36[/tex]
Thus sum of first 8 terms is 311.36