Answer:
17
Step-by-step explanation:
8+2+(3×3-2)=8+2+(9-2)=8+2+7=17
mistake in the first step
firstly we do × and ÷
then + and -
ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.
Also No effect as we assumed rotation is being with respect to origin.
Finally, translate it down to 2 units.
Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
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pls help me i really need it!
Answer:
A
Step-by-step explanation:
What does x equal in the following equation 3x + 5 = 17 A x = 2 B x = 4 C x = 5
Answer:
see below
Step-by-step explanation:
3x + 5 = 17
Subtract 5 from each side
3x+5-5 = 17-5
3x = 12
Divide each side by 3
3x/3 =12/3
x =4
Answer:
B (x=4)
Step-by-step explanation:
plug it in...
3(4)+5=17
.Prove a+ar+ar2+………+arn-1=a(rn -1 ) r-1
Answer:
See below.
Step-by-step explanation:
Call the sum of the first n terms S.
S = a + ar + ar^2 + ar^3 + ... + ar^(n -1)
Multiply both sides by r.
Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^n
No subtract S - Sr.
S = a + ar + ar^2 + ar^3 + ar^4 + ... + ar^(n -1)
(-) Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^(n - 1) + ar^n
-------------------------------------------------------------------
S - Sr = a - ar^n
S(1 - r) = a(1 - r^n)
S = a(1 - r^n)/(1 - r)
S = a(r^n - 1)/(r - 1)
a + ar + ar^2 + ar^3 + ... + ar^(n -1) = a(r^n - 1)/(r - 1)
(4y¹²) (3y)
Please help me
For a party Justin buys a pizza and cuts it into 24pieces.Marc eats 1/6 of portion of the pizza and claudine eats 1/4 of what remains after both of them have eaten, Sylvia eats 1/3 of the result.Justin gets to eat what is left over what fraction of the pizza did Justin not eat
Answer:
Justin did not eat 7/12 of the pizza
Step-by-step explanation:
Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over
Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over
Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over
Justin eats 10.
24 - 10 = 14
Justin did not eat 14/24 = 7/12
Find the length of CV
Answer:
sinΘ = opposite/ hypotenuse
sin (37)= CV/55
55 sin (37) = CV
CV=33.1
OAmalOHopeO
Write down the nth term of the following sequence
the following pattern are made using small squares
Answer:
a) [tex]n = 4 + 7\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex], b) [tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]
Step-by-step explanation:
a) The sequence is representative for an arithmetic sequence, whose key characteristic is that difference is between two consecutive elements is the same. In particular, the sequence has a difference of 7 between any two consecutive elements and the initial element is 4. Hence, we can derive the following formula:
[tex]n = n_{o} + r\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex] (1)
Where:
[tex]n_{o}[/tex] - Initial element.
[tex]r[/tex] - Difference between two consecutive elements.
[tex]i[/tex] - Index.
If we know that [tex]n_{o} = 4[/tex] and [tex]r = 7[/tex], then the expression for the n-th term of the sequence is:
[tex]n = 4 + 7\cdot i[/tex], [tex]\forall \,i\in\mathbb{N}_{O}[/tex]
b) In this case, we have a geometric sequence described by the following equation:
[tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex] (2)
The constant element ([tex]2[/tex]) represents the two extreme squares, whereas the second order binomial represents the total of squares in the middle ([tex](i+1)^{2}[/tex]) and emulates the area formula of the square.
Answer:
Step-by-step explanation:
?
Evaluate the functions in the given points.
a. f(x) = x
2 − 6 for f(0), f(−6), f(√6), f(
1
2
)
b. f(x) = x
3 + 2x for f(0), f(−2), f(−1), f(
1
2
)
c. f(x) =
1−2x
3
for f(0), f(−2), f(2), f (
1
2
) , f(m), f(m − 1), f(−m)
d.f(x) = |x| −
1
x
for f(−1), f(2), f(h), f (
1
2
) , f(−h + 2) where h ≠ 0
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)..............
Step-by-step explanation:
URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)
Answer:
FDG=NMP
Step-by-step explanation:
You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture
Simplify
(+8)-(-4)+(-5)
Answer:
17
Step-by-step explanation:
8+4+5=17
Answer:
7
Step-by-step explanation:
(+8)-(-4)+(-5)
=8+4-5
=12-5
=7
Roger bought some tins and decided to fill them with brownies to give to his friends. Roger baked 278 brownies. He put 4 brownies in each tin and made sure to fill as many tins as he could. How many brownies did Roger have left over?
Answer:
Divide 278 by 4 and the remainder value is the amount of leftover brownies.
278 ÷ 4 = 69, remainder of 2
Therefore, he had 2 brownies left.
Find the measure of one exterior angle for the following regular polygon.
Answer:
40 degrees
Step-by-step explanation:
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 (n = Number of sides)
in this scenario you have 9 sides so put it in the equation.
(9 - 2) ×180 = 1260
1260 is the sum of all the interior angles so we must divide this number by the number of sides to get the angle of one individual interior angle.
1260/9 = 140
180-140 = 40 degrees
find m<DCV and m<VBD
9514 1404 393
Answer:
m∠DCV = 50°m∠VBD = 50°Step-by-step explanation:
Arc DV is 100°, so any inscribed angle that intercepts that arc will have a measure that is half of 100°, or 50°.
Inscribed angles DCV and VBD both intercept arc DV, so both are 50°.
What is the first step in solving this system by elimination?
2x + 10y = -20
-x + 4y = 28
A. Multiply the first equation by -2.
B. Combine the equations as they are.
C. Multiply the second equation by 2.
D. Multiply the second equation by -4.
You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.
Answer: c. Multiply the second equation by 2.
find the missing side of the triangle
Answer:
x = 40
Step-by-step explanation:
3-4-5 triangle scale factor by 10
Missing side is 4
4*10 = 40 | Multiply by 10 bc of scale factor
x = 40
6. 792 = *
A. (7 x 10) + (3 x 4) + (2 x 1)
B. (7 x 11) + (3 x 3) + (2 x 1)
C. (7 x 11) + (3 x 4) + (2 x 1)
D. (7 x 10) + (3 x 3) + (2 x 1)
Answer:
D. (7×10) + (3×3) + (2×1)
Step-by-step explanation:
(7×10)=70 + (3×3)=9 + (2×1)=2
=70+9+2
=792
Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.
Answer:
136
Step-by-step explanation:
Surface area=2*(lb+bh+lh)
=2*(12+42+14)=2*68=136
Find f(-3) if f(x) = x2 .
Type a numerical answer in the space provided. Do not type spaces in your answer.
Answer:
f(-3) = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x²
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-3) = (-3)²Exponents: f(-3) = 9find the area of the right triangle
Answer:
the area of right angle is 1.5×2.5=3.75
Answer:
1.5 units^2
Step-by-step explanation:
If we say that the missing side is x, we can use the pythatgorean theorem to find it.
1.5^2 + x^2 = 2.5^2 => 2.25 + x^2 = 6.25 => x^2 = 4 => x=2
The area of a triangle is hieght * base * 1/2 => 1.5 * 2 * 1/2 = 1.5
Multiply the polynomials.
[tex]\\ \sf\longmapsto( 7x {}^{2} + 9x + 7)(9x - 4) \\ \\ \sf\longmapsto {7x}^{2} (9x - 4) + 9x(9x - 4) + 7(9x - 4) \\ \\ \sf\longmapsto 63x {}^{3} - 28 {x}^{2} + {81x}^{2} - 36x + 63x - 28 \\ \\ \sf\longmapsto {63x}^{3} + 53 {x}^{2} + 27x - 28[/tex]
Option d is correct
hipe it helps you...............
hipe it helps you...............
4over6=24over16 explain the error in the students work
Step-by-step explanation:
The key to solve this problem is using ratios and proportions.
The key to solve this problem is using ratios and proportions.Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So: The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.
The key to solve this problem is using ratios and proportions.Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So: The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.Given two reasons a/b and c/d we say that they are in proportion if a/b = c/d. The terms a and d are called extremes while b and c are the means. In every proportion the product of the extremes is equal to the product of the means: a.d = b.c
The key to solve this problem is using ratios and proportions.Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So: The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.Given two reasons a/b and c/d we say that they are in proportion if a/b = c/d. The terms a and d are called extremes while b and c are the means. In every proportion the product of the extremes is equal to the product of the means: a.d = b.cA student uses the ratio of 4 oranges to 6 fluid ounces of juice to find the numbers of oranges needed to make 24 fluid ounces of juice.
The key to solve this problem is using ratios and proportions.Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So: The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.Given two reasons a/b and c/d we say that they are in proportion if a/b = c/d. The terms a and d are called extremes while b and c are the means. In every proportion the product of the extremes is equal to the product of the means: a.d = b.cA student uses the ratio of 4 oranges to 6 fluid ounces of juice to find the numbers of oranges needed to make 24 fluid ounces of juice.
The key to solve this problem is using ratios and proportions.Ratio is the relationship between two numbers, defined as the quotient of one number for the other. So: The ratio between two numbers a and b is the fraction a/b and it is read a to b. This reason can also be written a : b.Given two reasons a/b and c/d we say that they are in proportion if a/b = c/d. The terms a and d are called extremes while b and c are the means. In every proportion the product of the extremes is equal to the product of the means: a.d = b.cA student uses the ratio of 4 oranges to 6 fluid ounces of juice to find the numbers of oranges needed to make 24 fluid ounces of juice. The error in the student's work was that they reversed the reason, 24/16 instead of 16/24.
Question No.b
Find the products or quotient in the exponential forms by using law of indices
The answer will be :- 3^9
Answer:
3*6 × 3*-3 × 3*6
3*(6-3+6)
3*9
ANSWER QUICK! MANY POINTS! NO WRONG ANSWERS PLEASE!
1. Use the table and the graph to answer the questions.
Function 1
x: -1 -2 -3 2 3
y: 3 5 7 -3 -5
Function 2
(see picture below)
a) What is the rate of change for each function? Show your work.
b) Which function has the greater rate of change?
Answer:
see below
Step-by-step explanation:
Function 1
Find the slope
m = ( y2-y1)/ (x2-x1)
= (-5 -3) /(3 - -1)
= ( -5-3)/(3+1)
= -8/4
= -2
Function 2
Using the points (0,4) and (-1,0)
m = ( y2-y1)/ (x2-x1)
m = ( 0-4)/(-1-0)
= -4/-1
= 4
The function with the greater rate of change is function 2
#Function 1
(-1,3)(-2,5)Slope=
m=5-3/-2+1m=2/-1m=-2#Function 2
(-1,0)(0,4)Slope
m=4/1m=4Function 2 has greater rate of change
Joshua buys a $6000 car on the following terms:
30% deposit
• monthly repayments of $210 for 2 years.
Find:
a) the deposit paid.
a store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of leans for $62.50, what is the amount of the discount you would receive?
Answer:
you would receive 12.5% of the discount
Step-by-step explanation:
20% off of 62.50 is 50; so you would pay $50
Find two numbers whose sum is sixty eight and whose difference is twenty two
Answer:
45 and 23
Step-by-step explanation:
Let x equal the first number and y equal the second number.
We can set the following equations up with our information:
[tex]x+y=68[/tex]
[tex]x-y=22[/tex]
Adding the two equations together, we get:
[tex]2x=90[/tex]
Dividing by two, we receive [tex]x=45[/tex]
We can plug this into our first equation to get [tex]45+y=68[/tex].
Subtracting 45 from both sides, we get [tex]y=23[/tex].
The two numbers are 45 and 23, solved using system of equations.
What is a system of equations?A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.
How to solve the question?In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.
We assume the two numbers to be x and y.
The sum of the two numbers is given to be 68.
This can be shown as an equation, x + y = 68 ... (i).
The difference of the two numbers is given to be 22.
This can be shown as an equation, x - y = 22 ... (ii).
Equations (i) and (ii) together makes a system of equation in the variables x and y.
To solve for the system of equation, we add (i) and (ii), to get:
x + y = 68
x - y = 22
_________
2x = 90,
or, x = 45.
Substituting x = 45 in (i), we get:
x + y = 68,
or, 45 + y = 68,
or, y = 23.
Thus, the two numbers are 45 and 23, solved using system of equations.
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with work please and thanks
Answer:
Step-by-step explanation:
He bought a total of 5 tickets, some child, some adult. This is the NUMBER equation.
# of adult tickets + # of child tickets = 5 tickets
Now for the COST equation. Each child ticket costs $2, so the expression for that is 2c; each adult ticket costs $8, so the expression for that is 8a. He spend a total of $22:
$2c + $8a = $22
Money and the number of tickets are NOT THE SAME so they cannot be put into the same equation. They won't add or subtract because they're not like.
Your system is choice A
Find the volume of this cylinder.
As soon as possible please..
Answer:
144
Step-by-step explanation:
V=PIr^2h
PI=3
V=3r^2h
r=2 h=12
V=3(2^2)12
V=3(4)12
V=12(12)
V=144in^3
Step-by-step explanation:
36 in ^3 is the volume of cylinder
9) Assume that the random variable X is normally distributed, with mean = 90 and standard deviation o = 12. Compute the probability P(57 < X < 105).
A) 0.7888 B) 0.8944 C) 0.8914 D) 0.8819
Answer:
Step-by-step explanation:
The mean, [tex]\bar{x}[/tex], is 90 and the standard deviation, [tex]\sigma[/tex], is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:
[tex]P(\frac{57-\bar{x}}{\sigma}\leq z\leq \frac{105-\bar{x}}{\sigma})[/tex] and we fill in accordingly:
[tex]P(\frac{57-90}{12}\leq z\leq \frac{105-90}{12})[/tex] which simplifies to
[tex]P(-2.75\leq z\leq 1.25)[/tex] and we will break them up into 2 different sets as follows:
P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)
and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:
P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.
Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:
.4970 + .3944 = 0.8914
