(xii) x^6 - 8 divide by x^2 - 2
Answer:
1/x^2
Step-by-step explanation:
x^6-8 / x^2-2
x^-2/x^0
x^-2/1
do reciprocal
1/x^2
Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.
Dave is helping his grandmother make trail mix. His grandmother ask
him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, Dave mix ?? cup of fruit for a single, cup of nuts.
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Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
graph y > 1 - 3x whats the answer please
Answer:
see graph
Step-by-step explanation:
A box is shaped like a square prism. The box is 10 centimetres high and it’s volume is 150 cubic centimetres.
Answer:
B I hope
Step-by-step explanation:
The length of the base of a square prism is 3.872 cm and the surface area of a square prism is 184.9 cm ²
Volume of a square prismLet h is the height length of the prism and a is the length of base edge.
then the volume is a²h and the surface area is 2a²+4ah
How to base length?(a) The volume of a square prism is 150 cm³ and 10 cm is height length
Let a is the length of base edge.
We know the volume is a²h.
Substitute the values
a²(10) = 150
a² = 15
a = √15
a = 3.872 cm
Since length of base is 3.872 cm.
How to find the surface area of a square prism?(b) The height length of the prism is 10 cm and the base edge length is √15 cm.
We know the surface area is 2a²+4ah
Substitute the values
S = 2(√15)² + 4 (3.87 )(10)
= 2(15) + 40(3.87)
= 30 + 154.91
= 184.9 cm ²
Since the surface area of a square prism is 184.9 cm ².
what is the answer?
how many vertices does the following shape have?
Find the sum of smallest 7-digit number and largest 4-digit number
Step-by-step explanation:
[tex]smallest \: 7-digit = 1000000 \\ \\ largest \: 4 - digit \: number = 9999 \\ \\ sum = (1000000 + 9999) \\ \\ sum = \: 1009999 \\ \\ hope \: it \: is \: helpful \: to \: you \: (◕ᴗ◕✿)[/tex]
What is the measure of angle R
Answer: 37 degrees
Explanation:
We have a right triangle because the tangent is always perpendicular to the radius, at the point of tangency.
That then leads to angles P and R being complementary, ie they add to 90
P+R = 90
R = 90-P
R = 90-53
R = 37
The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Class} & {Frequency} & A\ 39-44 & 1 & B\ 45-50 & 3 & C\ 51-56 & 8 & D\ 57-62 & 6 & E\ 63-68 & 8 & F\ 69-74 & 3 & G\ 75-80 &2 \ \end{array}[/tex]
Solving (a): The histogram
To do this, we simply plot each data on each class on the x-axis and the frequency on the y-axis.
(See attachment for histogram)
Solving (b): The type of distribution
The histogram appears to have a bell shape. This means that the distribution is approximately normal.
solve for x in parts below:
Answer:
x=30°
Step-by-step explanation:
50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)
x=80-50
x=30 degree
would it be the same
Answers:
a) No, the figure would not look the same. See the diagram belowb) Yes the figure would look the same after a half turnc) Yes the figure would look the same after a full turn==================================================
Explanations:
a) The figure doesn't have 90 degree symmetry, so that's why we have a different looking figure after a quarter turn.b) The figure does have 180 degree symmetry. That's why it looks the same after a half turn (aka 180 degree turn)c) Rotating any figure 360 degrees, aka a full turn, will get everything back where it started. It doesn't matter if the figure has any symmetry or not.100 Points! show work or i report! Find the tangent ratio for
Answer:
tan P = 15/8
Step-by-step explanation:
tan = opposite / adjacent
tan P = RQ/PR = 15/8
Option A
Simplify the following expression:
-5[(x3 + 1)(x + 4)]
A. 4 + 4x3 + x + 4
B. x4 + 3 + 4x
C. -5x4 + 20X3 - 5
D. -5x4 - 20X3 - 5x- 20
-5[(x3 +1)(x + 4)]
=> -5[ x3 (x+4) + 1 (x+4) ]
=> -5 [ x4 + 4x3 + x + 4x ]
=> -5x4 -20x3 -5x -20x
option D is the correct one
que por qué me va a dar 70
what number x anuder number is =70
Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10
Step-by-step explanation:
Solve for x:
X-7 = 4
O A) x = 11
OB) x= 28
OC) x = 14
OD X=3
Answer:
x = 11
Step-by-step explanation:
X-7 = 4
Add 7 to each side
x-7+7 = 4+7
x = 11
Answer:
x=11
Step-by-step explanation:
Move the constant to the right -hand side and change its sign
x= 4+7
then add the numbers
x= 4+7
which =11
What is the area of a right triangle with side lengths 7,24, and 25?
Answer:
Area = 84 square unit
Step-by-step explanation:
Given the triangle is right angle triangle. According to Pythagoras theorem, the largest amount the sides is the hypotenuse. and the others are base and height respectively.
Therefore, hypotenuse = 25, base = 7, height = 24
[tex]Area \ of \ triangle = \frac{1}{2} \times \ base \times height[/tex]
[tex]= \frac{1}{2} \times 7 \times 24 \\\\= 7 \times 12 \\\\= 84 \ square \ unit[/tex]
Answer:
A = 84 units^ 2
Step-by-step explanation:
The longest side length is also the hypotenuse of this right triangle: 25. Therefore the leg lengths must be 7 and 24. The legs are perpendicular to one another. If we let the base be 7 and the height 24, then the area of the triangle is A = (1/2)(base)(height), or
A = (1/2)(7)(24) = 84 units^ 2
Which one hurry
A.9
B.18
C.27
D.33
Answer:
It’s c I do believe
Answer:
seriously, talk to your teacher. its 21 units squared.
I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.
so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.
In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.
Answer:
The change of the person landing on each side is 1/8
Step-by-step explanation:
A rectangular prism has the following dimensions.
length: 8 cm
width: 13 cm
height: 10.5 cm
If all the dimensions of the prism are doubled, what will be its new volume?
length: 8 cm
width: 13 cm
height: 10.5 cm
the choices are-
8,736 cm 3
5,192 cm 3
6,552 cm 3
2,184 cm 3
This diagram represents 3 batches of light yellow paint. Select a ratio that represents 1 batch of the same shade of light yellow paint. (look at screen shot for full question)
Answer:
3 white to 5 yellow
the third choice
Step-by-step explanation:
white 9 parts
yellow 15 parts
9 white to 15 yellow
Divide by 3
3 white to 5 yellow
Two advertising media are being considered for promotion of a product. Radio ads cost
$400 each, while newspaper ads cost $600 each. The total budget is $7,200 per week.
The total number of ads should be at least 15 and at least 2 ads of each type (Radio and
newspaper) should be considered. Each newspaper ad reaches 6,000 people, while each
radio ad reaches 2,000 people. The company wishes to reach as many people as possible
while meeting all the constraints stated.
1.
Write the constraints and the objective function for this problem?
(3 pts)
2.
How many ads of each type should be placed?
(5 pts)
Answer:
1. 1. The constraints are as follows -
a) Limited weekly budgets
b) Limited ads requiring that there should be at least 15 and at least 2 ads of each type (Radio and newspaper)
c) Newspaper ad being costly reach larger population segment as compared to the radio ads which is cheaper than newspaper ad but reaches only a small portion of population
2. 6 newspaper adds and 9 radio adds
Step-by-step explanation:
1. The constraints are as follows -
a) Limited weekly budgets
b) Limited ads requiring that there should be at least 15 and at least 2 ads of each type (Radio and newspaper)
c) Newspaper ad being costly reach larger population segment as compared to the radio ads which is cheaper than newspaper ad but reaches only a small portion of population
The objective function
Maximum number of people per week = 6000 * number of newspapaer ads + 2000 * number of radio ads
b) $7,200
Minimum radio adds = 3 this will cost 3 * $400 = $1200
Remaining money = $7200 - $1200 = $6000
Cost of one add of news paper = $ 6000/$600 = 10
But the minimum ads need to be 15
So, If Newspaper adds are reduced to 6, the radio adds will be 9 giving a sum of 15
change the following into mixed fraction 13/5
Answer:
2 3/5
Step-by-step explanation:
13/5
5 goes into 13 2 time
2*5 =10
13-10 =3
There is 3 left over. This goes over the denominator
2 3/5
2 3/5
Step-by-step explanation:
13/5
5*2=10
reminder=3
divisor = 5
prove the two triangles are congruent?
Answer:
they are congruent by sss axiom
Step-by-step explanation:
de=fg (given)
df=ge(given)
ef=ef(being common side)
proved brainliest plzz
Which number number is equal to |-12|-|-3| ?
The value of the expression will be;
⇒ 9
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ |-12|-|-3|
Now,
Since, The expression is,
⇒ |-12|- |-3|
Solve as;
⇒ |-12|- |-3| = 12 - 3
= 9
Thus, The value of the expression = 9
Learn more about the subtraction visit:
https://brainly.com/question/188220
#SPJ2
Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY
A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2
Answer:
E. Slope: 0
F. Equation: y = -2
Step-by-step explanation:
✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.
The line that is parallel to the x-axis would have a slope of 0 as well.
Therefore, slope (m) = 0
✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.
Substitute (x, y) = (3, -2) and m = 0 into y = mx + b
-2 = 0(3) + b
-2 = 0 + b
b = -2
✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:
y = 0(x) + (-2)
y = 0 - 2
y = -2
A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
a. The proportion of all customers who order dessert.
b. All customers who come to the restaurant.
c. The 65 restaurant patrons whose receipts were observed by the owner.
d. The proportion of the 65 randomly selected customers who ordered dessert.
e. The 65 restaurant patrons whose receipts were observed by the owner
f. All customers who come to the restaurant
1. Statistic
2. Variable
3. Sample
4. Data
5. Population
6. Parameter
Options E and F are repeated but the correct thing should be;
e. The list of the 65 Yes or No answers for whether each customer ordered dessert.
f. The answer: Yes or No to whether a customer ordered dessert
Answer:
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Step-by-step explanation:
a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.
b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.
c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.
d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.
e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.
f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.
Evaluate: (x^2-1)/(x-1) if x goes to 1?
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)} [/tex]
[tex]\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2[/tex]
Answer to the question
Answer:
(Opt.D) x = 14
Step-by-step explanation:
<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)
∴36 + 11x - 10 = 180
26 + 11x = 180
11x = 180 - 26
11x = 154
x = 154/11
x = 14
Hope this helps u
Please mark as brainliest
Thank You
Determine the solution set of (x-4)^2=12.
A: {4+2 square root of 3, 4-2 square root of 3}
B: {4-2 square root of 3, 4-2 square root of 3}
C: {2 square root of 3 + 4, 2 square root of 3 -4}
Step-by-step explanation:
answer is in photo above
What is XY? The triangle XZY is right angle triangle. Angle z is right angle and angle X and Y are 45 degree. The side YZ is 5. A. 2–√ B. 5 C. 52–√ D. 10
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Answer:
C. 5√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the length of either leg. The given leg (YZ) is 5 units, so the hypotenuse XY is 5√2 units.
