If the given mathematical expression 12−{1+2[−1(3−8)]2} is been evaluated , then it will become -18.
How can the expression be simplified?The mathematical expression can be simplified by first simplify the expression in the inner bracket one after the other.
The given mathematical expression is 12−{1+2[−1(3−8)]2}
then we can simplify one after the order by following the bracket one after the other, as :
12−{1+2[−1(3−8)]2}
12 - {1+2[-1(-5)]2}
Then we can further simplify the expression as :
12 - {3 [ 5 ] 2}
Then this can be further simplified as :
12 - {30}
This can be further simplified as :
-18
Therefore, the value of the expression given is -18
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Domain and range, HELP!
The function is decreasing because it is going down.
The domain is the set of x-values, which is [tex]x \leq 4[/tex] or [tex](-\infty, 4][/tex].
The range is the set of y-values, which is [tex]-6 \leq y < -1[/tex] or [tex][-6, -1)[/tex].
A trapezium of area 140cm square has parallel sides 10cm apart and one of these 16m long. Find the length of the other parallel side
The length of the other parallel side = 7.5 cm
what is trapezium?
Trapezium is the quadrilateral whose only one pair of side is parallel.
as we know ;
AREA OF TRAPEZIUM=1/2*(sum of parallel side)*(height)
given:- one parallel side = 10 cm
height = 16 cm
Area= 140 cm
Assume:-
other parallel side =x cm
so,
140=1/2*(10+x)*16
140*2/16=10+x
280/16=10+x
35/2=10+x
17.5-10=x
x= 7.5cm
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Expand and simplify (y + 3)(y + 7)
⇒[tex]=(y+3)(y+7)\\=y(y+7)+3(y+7)\\=y^{2} +7y+3y+21\\=y^{2} +10y+21[/tex]
Attached is the solution in detail
What is the product of 8300 and 7.7x 10^2 expressed in scientific notation
Answer: 6391000 or 6.391 x 10^6
Step-by-step explanation:
**First, convert 7.7 x 10^2 to a number**
770
**Then multiply 8300 and 770**
6391000
**Convert to scientific notation**
6.391 x 10^6
Hope this helps <3
please answer number 5 by finding the length indicated
HELP PLEASE!!
Use the point and the slope to graph each line. Write the equation of the line
Answer:
y = x in the slope intercept form
y - 2 = 1(x -2) in the point-slope form of a line
Step-by-step explanation:
Perpendicular slopes are opposite reciprocals of each other. So the perpendicular slope would be 1.
We could write this in the point slope form of a line and the answer would be:
y - 2 = 1(x -2) This would be the point slope form of a line.
If you want your answer in the slope intercept form
y -2 = 1(x-2)
y - 2 = x - 2 Add two to both sides
y = x
WHAT DO WE KNOW ABOUT PERPENDICULAR LINES ?
IS THAT WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE A PRODUCT OF -1.
TO FIND THE GRADIENT OF THE LINE PERPENDICULAR TO THE LINE WITH SLOPE/GRADIENT -1 WE CAN SAY
[tex]m1 \times m2 = - 1 \\ - 1 \times m2 = - 1 \\ m2 = 1[/tex]
THIS MEANS THAT THE GRADIENT OF THE NEW LINE IS 1
the general equation of the straight line is y=mx+c
[tex] - 2 = 1(2) + c \\ - 2 = 2 + c \\ c = - 2 - 2 \\ c = - 4[/tex]
This means that
[tex]y = 1x - 4 \\ simply \\ y = x - 4[/tex]
could you help with this question please, thank you
Answer:
x = 4.5 and y = 3
Step-by-step explanation:
Area of a rectangle = length x width
= 12 (2x - y)
Area is given as 72
∴ 12 (2x - y ) = 72
Divide both sides by 12 =>
12/12 (2x - y) = 72/12
2x - y = 6 [1]
The kite perimeter is 33
Your equation is correct:
2(3x) + 2(y) = 33
=> 6x + 2y = 33 [12]
So we have two equations and we can solve them as follows
Multiply [1] by 2
2(2x -y) = 2 x 6
4x - 2y = 12 [3]
Coefficients of y in equations [1] and [2] are same but of opposite sign
Add [1] and [3]
6x + 2y = 33
+
4x - 2y = 12
-------------------------
10x + 0 = 45
=> 10x = 45
Divide both sides by 10
=> x= 45/10
x = 4.5
Substitute for x in equation [1]: 2x - y = 6
=> 2(4.5) - y = 6
=> 9 - y = 6
Subtract 9 from both sides
9 - 9 - y = 6 - 9
-y = -3
Multiply by -1 both sides
y = 3
Answer: x = 4.5 and y = 3
David is a nurse, he wants to buy an apartment near his sister. Apartments in her neighborhood cost around $120,000. The bank has approved him for a loan with an interest rate of 3.95%. David is a recent graduate and needs his monthly payment to be low, he can afford to pay about $550 a month. David plans to sell the apartment or refinance the loan within five years when he knows he will be earning more money. PLEASE HELP
Answer:
Describe how anthropology challenges more commonly held notions of progress
Step-by-step explanation:
Question 7A: Keisha has $585.43 in her checking account. She must maintain a balance of $300 to avoid a fee. She wrote a check for $302.05 today. Write an inequality, using x for the variable, that would be used for the least amount of money she needs to deposit to avoid a fee.
585.43x - 302.05 ≥ 300
585.43 - 302.05 + x ≥ 300
585.43 - 302.05 + x ≤ 300
585.43x - 302.05 ≤ 300
The inequality that shows the least amount of money she needs to deposit to avoid a fee is 585.43 - 302.05 + x ≥ 300
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let x represent the least amount of money Keisha needs to deposit to avoid a fee. Keisha has $585.43 in her checking account and must maintain a balance of $300 to avoid a fee. She wrote a check for $302.05 today, Hence:
585.43 - 302.05 + x ≥ 300
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9. In the state of North Carolina, the sales
tax rate is 8%. How much would you pay in
sales tax for a pair of mittens that cost $28?
Answer:
$2.24
Step-by-step explanation:
convert 8% to .08
next multiply that by the cost, 28
.8x28=2.24
Please help me on this. I really need this done.
The area hexagon using Lin's and Andre's method is:
By Lin's method = 93.48inch^2
By Andre's method = 93.53 inch^2
What is Mensuration ?
The field of mathematics known as mensuration explores how to measure geometric objects and their attributes, such as length, volume, shape, surface area, lateral surface area, etc.
By Lin's method
He parted the hexagon into six equilateral triangle
So, area of equilateral triangle = √3/4 × (side)^2
Since the given side = 6inch
Therefore,
area of equilateral triangle = √3/4 × (6)^2
=√3/4 × 36
= √3 x 9
= 1.732 x 9
= 15.58inch^2
The area of hexagon will be = 15.58 x 6
= 93.48inch^2
Now, By Andre's method
he parted two triangle and one rectangle
The triangle has two equal side that means its an isosceles triangle
Area of isosceles triangle using only sides = ½[√(a^2 - b^2/4) × b]
given,
base = 10.4 inch
side = 6 inch
Area of isosceles triangle using only sides = ½[√(a^2 - b^2/4) × b]
= ½[√(6^2 - 10.4^2/4) × 10.4]
= ½[√(36 - 108.16 /4) ×10.4]
= ½[√(36 - 27.04) × 10.4]
= ½[√(8.96) × 10.4]
= ½[2.99 × 10.4]
= 15.56inch^2
for two triangles the area will be = 15.56 x 2
= 31.13 inch^2
Now, area of rectangle = length x width
where,
Length = 10.4 inch
Width = 6 inch
So,
area of rectangle = 10.4 x 6
= 62.4 inch^2
Then, The area of hexagon will be = area of rectangle + area of two triangle
= 62.4 inch^2 + 31.13 inch^2
= 93.53 inch^2
Hence, by both methods the area from Lin's method = 93.49 inch^2
and by Andre's method = 93.53 inch^2
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Given g(x) = 4x - 7, find g(-9)
Answer:
g(- 9) = - 43
Step-by-step explanation:
substitute x = - 9 into g(x) , that is
g(- 9) = 4(- 9) - 7 = - 36 - 7 = - 43
44 less than the product of 1 and x
Answer: -44
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What is the expression in radical form?
(5ab) =
○ √√25a²b²
O√√5a²b²
O √5a³b3
O √125a³b3
The radical form of the expression (5ab)[tex]^\frac{3}{2}[/tex] is √(125 a³b³).
What does radical form mean?Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.
What in mathematics is radical form?The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions.
According to the given data:Radical equation = b[tex]\frac{m}{n}[/tex]
= [tex]\sqrt[n]{b^m}[/tex]
So,
(5ab)[tex]^\frac{3}{2}[/tex] = [tex]\sqrt[2]{5^3}[/tex]
[tex]\sqrt[2]{5^3}[/tex] a³ b³
5³ = 125
√(125 a³b³)
The radical form of the expression (5ab)[tex]^\frac{3}{2}[/tex] is √(125 a³b³).
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Use the given information to prove that DE=FD
The condition for the figure to be similar is that; DE = FD
What are similar figures?Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
In the problem, the ratio should be CD/DE = GD/DF
We can also write the ratios of the corresponding sides as:
CD/DE = GD/DF
Therefore, CE and GF are similar
Thus, the condition for the figure to be similar is that;
DE = FD
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An object in real life is 55 feet long. How many inches long should it be in the scale drawing?
Based on the length of the object in real life, and the scale factor used, the length of the object on the scale drawing in inches can be found to be 9.17 inches
How to find the length?The scale factor tells us how the measurement of an object on a drawing relates the measurement of the same object in reality.
For a scale factor of 1 inch to 6 feet, it means that every inch of an object on a drawing, would be 6 feet of the same object in real life.
For this object that is in a drawing with a scale factor of 1 inch to 6 feet, the length in real life of 55 feet tells us that the length in the drawing is:
= Number of feet in real life / Number of feet in scale factor per drawing
= 55 / 6
= 9.17 inches
Full question is:
A scale factor of 1 inch to 6 feet is used. An object in real life is 55 feet long. How many inches long should it be in the scale drawing?
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In a randomly generated list of numbers from 0 to 6, what is the chance that
each number will occur?
OA. 1/6
B. 1/8
C. 1/6
O D. 1/9
The chance that each number will occur when a randomly generated list of numbers, generates the number from 0 to 6 is 1/7.
What is probability?Probability is a field of mathematics that focuses on determining the possibility that an event will occur. The proportion of favorable outcomes to all other outcomes determines an event's chances or probability.
Given:
A randomly generated list of numbers from 0 to 6.The total number are 7 (0,1,2,3,4,5,6).
The chance that each number will occur is,
P = 1/7
Therefore, the chance that each number will occur when a randomly generated list of numbers, generates the number from 0 to 6 is 1/7.
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A 429 g piece of cheese costs $9.50. What will be the cost for 1.42 kg of this cheese?
The cost for 1.42 kg of this cheese will be $ 31.44 .
The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.
Why is the unitary technique used? What is it?In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple.
How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used. The unitary method entails calculating the value of a single unit before calculating the value of the required number of units.
Given that 0.429 kg of cheese cost $9.50
As a result, the price of 1 kg of cheese is $9.50/0.429, which is $ 22.14.
As a result, 1.42 kg of cheese will cost you $22.14 * 1.42 = $31.44.
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is w a subspace of v? if not, state why. assume that v has the standard operations. (select all that apply.) w is the set of all 2 × 2 matrices of the form 0 v u 0 v = m2,2
A) W is a sub space of V
given that V =R^4 and W= [(x1, x2, x3, 0)|x1 ,x2, x3 E..R]
W is a subspace of V because of the following.
let (x1, x2, x3, 0), (y1, y2, y3, 0) ∈ W and a, b ∈ V
now
a(x1, x2, x3, 0)+b (y1, y2, y3, 0)= (a x1, a x2, a x3, 0)+(b y1, b y2,b y3, 0)
= (a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ,0+0)=
(a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ,0+0)
LHS =RHS
∈W
since (a x1+ b y1 , a x2+ b y2 , a x3+ b y3 ) are all elements of R
W is closed under vector addition and scalar multiplication.
Hence W is a sub space of V.
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Walt is mixing fruit punch for a party. He combines 1 gallon 2 quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pineapple juice, and 1 gallon 3 quarts 3 pints of ginger ale. What's the total liquid measure of the punch? New answers Rating 3 emdjay23 1 gallon = 8 pints. 1 quart = 2 pints.
When Walt mixes fruit punch for a party, the total liquid measure of the punch is 53 pints.
As given in the question,
Conversion factor as follows:
1 gallon = 8 pints.
1 quart = 2 pints.
Walt is mixing fruit punch for a party
Convert all the units to pints we get,
Walt combines 1 gallon 2 quarts 3 pints of orange juice, which is equivalent to 15 pints
He also combines 1 gallon 3 quarts 7 pints of pineapple juice, which is equivalent to 21 pints
He then combines 1 gallon 3 quarts 3 pints of ginger ale, which is equivalent to 17 pints.
Total measure of the punch = 15 + 21 + 17 = 53 pints.
Therefore, when Walt mixes fruit punch for a party, the total liquid measure of the punch is 53 pints.
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The part of marketing copy that asks the audience to do something with the information you've just provided is known as what? Question 20 options: A. Return on investment B. call to action C. vernacular D. emotional language HELPPPPLSSSSSSSSSSSSSSSSS
The part of marketing copy that asks the audience to do something with the information you've just provided is known as call to action. Option B
What is a marketing copy?Marketing copy can be defined as a content that is written to boost sales or to promote a product or service and also to persuade the readers to take a certain actions.
It is an important tool that is used to educate customers, and it provides the resources and contact details information to help various businesses increase the awareness of their products and services.
What is call-to-action?Call-to-action can be defined as the part of an advertisement or content that encourages the audience to do something.
In marketing, it help in converting a reader or visitor to a lead for the business sales team.
It also drives other marketing actions depending on the content's goal.
Hence, the marketing copy is call-to-action
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Answer:
Step-by-step explanation: B
What’s the answer to this question
The recursive formula of the arithmetic sequence is:
xₙ = n*4 + 13
With that we can see that x₁₁ = 57
How to write the arithmetic sequence?Here we know that the first elements of the sequence are:
17, 21, 25, 29, ...
To find the common difference, d, we take the difference between any two consecutive elements, so we have:
c = 21 - 17 = 4
Then the recursive formula for the n-th term is:
xₙ = n*4 + d
The first element x₁ is 17, so we will have:
17 = 1*4 + d
17 - 4 = d = 13
The recursive formula is:
xₙ = n*4 + 13
b) the eleventh term of the sequence is given by replacing n in the above formula by 11.
x₁₁ = 4*11 + 13 = 44 + 13 = 57
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how to solve h(x)+4x-2 find h(-9)
Answer:
-9(×)+4×-2
-9×+4×-2
-5×-2
Answer: 10
Step-by-step explanation:
plugin -9 to the equation
-9x+4x-2
combine like terms
-5x - 2
10x
I think I am not sure though...
Find the exact value of y
In the right triangle, the value of y is 3√2
How to determine the value of y?The right triangle represents the given parameter
On the right angle, the value of y can be calculated using the following sine rule
This is represented as
sin(angle) = Opposite/Hypotenuse
So, we have
sin(45) = y/6
Make y the subject
y = 6 * sin(45)
Evaluate
y = 3√2
Hence, the value of y in the right triangle is 3√2
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Which is a counterexample of: The difference of two numbers is less than the greater
number.
(5)-(2) = 3
(-5)-(4) = -9
(3)-(3)=0
(2)-0 =2
The counterexample of the statement "the difference of two numbers is greater than the greater number if the smaller number is greater than twice the additive inverse of the greater number"
How to determine the counterexample?"The difference of two numbers less than the greater number," is how the claim is expressed.
Give us x and y, where x is greater than y.
Thus, the statement can be interpreted as follows:
x - y < x
To both sides, add x.
-y < 2x
Replace with: y > -2x
This indicates that only when the smaller number is higher than twice the additive inverse of the larger number is the assertion true.
The smaller number must be bigger than twice the additive inverse of the larger number in order for the statement "the difference of two numbers is greater than the greater number" to be false.
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considerthetypeofclothesdryer(gasorelectric) purchased by each of five different customers at a certain store. a. if the probability that at most one of these customers purchases an electric dryer is .428, what is the probability that at least two pur- chase an electric dryer? b. if p(all five purchase gas) 1⁄4 .116 and p(all five purchase electric) 1⁄4 .005, what is the probability that at least one of each type is purchased?
The probability of at least two purchasing an electric dryer is 0.572 and the probability of at least one type of purchase is 0.879.
What are examples and probability?
It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability.For instance, the theoretical chance of receiving a head while tossing a coin is 12.a dryer
1 - 0.428 = 0.572
P(all 5 for purchasing gas) = 0.116
P(all 5 electrical purchases) = 0.005
P(at least 1 of each type purchased) = 1 -(P(only 1 type is purchased))
= 1 - [ P(all 5 for purchasing gas) + P(all 5 electrical purchases)
= 1 - 0.116 - 0.005
= 1 - 0.121
= 0.879
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If Calvin gets paid on the 15th and last day of the month, how many paychecks will he receive in
one year?
Will he receive the same number of paychecks if gets a paycheck
very two weeks? Y/N explain.
Answer:
24
Step-by-step explanation:
12 months in a year and Calvin gets 2 paychecks in one month
so 2 times 12 = 24 paycheck
No, because if he gets a paycheck every 2 weeks that would be about 4 paychecks in one month
so that would be about 48 paychecks in a year.
Suppose that 14 inches of wire costs 56 cents.
At the same rate, how many inches of wire can be bought for 44 cents?
by using the unitary method, 11 inches of wire can be bought for 44 cents.
We are given that:
14 inches of wire costs 56 cents.
14 inches = 56 cents
Now, by using the unitary method, we get that:
1 cent = 14 / 56 inches.
1 cent = 1 / 4 inches.
Now, for 44 cents, by using the multiplication, we get that:
44 cents = 1 / 4 inches × 44
44 cents = 11 inches.
Therefore, we get that, by using the unitary method, 11 inches of wire can be bought for 44 cents.
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write the equation of the line that is parallel to the given line and goes through the point (-8 2)
The equation for the line that is parallel to the given line and goes through the point (-8 2), is y = 3x + 26. See the explanation below.
What is the explanation for the above?Recall that the equation for the line is always given as:
y = mx + b
Where m is the slope.
Assuming that you have a line y = 3x + 2
The line parallel to this line but intersecting the point (-8,2) is found by using y = mx + b and solving for b
m = 3; x = -8; and y = 2
b = y - mx
b = (2) - (3) (-8)
b = 26
Hence the equation for the line that is parallel to the given line going through point (-8, 2) is
y = 3x + 26
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Full Question:
Find the equation in slope-intercept form of the line y= 3x + 2 that passes through the point (-8,2) and is parallel to the line.
Jasim works in a restaurant.
The table shown gives his rates of pay.
Day
Mon to Fri
Weekend
Jasim worked for a total of 30 hours last week.
He worked 12 of these hours at the weekend.
Work out Jasim's pay for last week.
Rate of pay
£8.70 per hour
£10.80 per hour
Answer:
Step-by-step explanation:
The option that is most suitable for tabular data will be provided by-
Jasim's last week's total pay was £286.2.
Describe tabular data.Tabular data is data presented in the form of rows and columns.
Here,
Total time for which Jasim works last week = 30 hours
Time for which Jasim works at the weekend = 12 hours
Time for which Jasim works at the weekdays = (30 - 12) hours
= 18 hours
Jasim's pay during weekdays = £8.70
Jasim's pay during weekends = £10.80 per hour
Jasim's pay during weekdays last week = £8.70 [tex]\times[/tex] 18
= £156.6
Jasim's pay during weekends = £10.80
Jasim's pay during weekends = £10.80 per hour
Jasim's pay during weekdays last week = £10.80 [tex]\times[/tex] 12
= £129.6
Total pay of Jasim for last week = £(156.6 + 129.6)
= £286.2
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