Answer:
a^2 - 6a + 6
Step-by-step explanation:
6−a(4−a)−2a =
6+a2+−4a+−2a
6+a2+−4a+−2a
(a^2)+(−4a+−2a)+(6)
a2+−6a+6
=a^2−6a+6
The points (-4,-3) and (2,4) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer: sqrt(85)/2
Step-by-step explanation:
Remember that the length of the diameter is twice that of the radius.
The first step would be finding the distance between the two points using the distance formula[tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}[/tex].
The distance of diameter = [tex]\sqrt{85}[/tex]
The distance of the radius would be half that, so [tex]\frac{\sqrt{85}}{2}[/tex]
Please help I will give out brainliest
Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
Length is measured 21 cm correct to 2 significant figures
a. Lower bound of 21
= 20.5 < 21
= 20.5
b. Upper bound of 21
= 21 < 21.5
= 21.5
Answer:
a. L.B. = 20.5
b. U.B. = 21.5
Step-by-step explanation:
find x (you must show work)
Answer:
x = 30 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees.
This means that 2x + 2 + 3x + x - 2 = 180.
We can then combine like terms, getting 6x = 180.
We can then divide both sides by 6, getting x = 30 degrees.
Answer:
x = 30
Step-by-step explanation:
Every triangle equals 180. So make an equation first:
2x + 2 + 3x + x - 2 = 180
Next Combine Like Terms:
6x = 180
Then Divide by 6 On Both Sides:
x = 30
Part 1: Explain, using complete sentences, the Transitive Property of Equality in geometric terms.
Part 2: Provide an example of the Transitive Property of Equality using segments or angles.
Answer:
Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.
Mathematically, the transitive property can be written as follows;
When X = Y, and Y = Z, then also X = Z
Part 2: The transitive property of equality can be represented using angles as follows
Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.
Step-by-step explanation:
Samuel worked at a beach over the summer. He worked 6 hours a day, 4 days a week. He earned $7.50 per hour. How much money did he make in one week? He worked for 8 weeks over the summer. How much did he make in all this summer?
Answer:
Total earning in the summer = $1440
Step-by-step explanation:
Earning per hour for Samuel = $7.50
No. of hours worked in a day = 6
Earning for a day = Earning per hour for Samuel *No. of hours worked in a day
Earning for a day = $7.50 *6 = $45
___________________________________________________
No of days worked in a week by Samuel = 4
Earning for week = Earning for a day *No of days worked in a week by Samuel
Earning for week = $45*4 = $180
_____________________________________________________
No. of weeks worked in summer = 8
Total earning in the summer = Earning for week *No. of weeks worked in summer
Total earning in the summer = $180*8 = $1440 (Answer)
Represent the following sentence as an algebraic expression, where "a number" is the letter x. 8 is decreased by a number.
Answer:
Given, a number is x.
The question says 8 is decreased by a number. So which is x.
Decreased by here means subtracting "a number" from the "other number".
According to the question, the algebraic expression will be given by-
8-x
Regards!
Combine like terms: 12b+15+7b-8+7x=
Answer:
Step-by-step explanation:
Like terms have same variables and exponents
12b and 7b are like terms
15 & -8 are like terms
12b + 15 + 7b - 8 + 7x = 12b + 7b + 15 - 8 + 7x
= 19b + 7 + 7x
Answer:
12b+15+7b-8+7x = 19b+7+7xStep-by-step explanation:
12b+7b+15-8+7x
19b+15-8+7x
19b+7+7xSuppose x = 7 is a solution to the equation 4x − 2(x + a) = 8. Find the value of a that makes the equation true. A: 2 B: 3 C: -25 D: 6
if x =7 then plug in 7 for x
4(7) - 2((7)+a) = 8
28 - 14 -2a = 8
14 - 2a = 8
-2a = -6
a = 3
Answer:
Step-by-step explanation:
PLS ANSWER ASAP!!!!!! To solve x^2−8x=10 by completing the square, what should be added to both sides? A. 64 B. 16 C. 8 D. −16
Answer:
B. 16
Step-by-step explanation:
x² − 8x = 10
x² − 8x + (-4)² = 10 + (-4)²
x² − 8x + 16 = 10 + 16 --------- added 16 to both sides.
to finish the equation..
x² − 8x + 16 = 26
(x - 4)² = 26
[tex]\sqrt(x - 4)^2 = \sqrt{26}[/tex]
x = [tex]\sqrt{26} + 4[/tex]
x = [tex]4 - \sqrt{26}[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{B. \ 16}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]x^2-8x=10[/tex]
The equation is in the form ax² + bx = -c. The value of b in the equation is -8.
To complete the square, we need to add (b/2)² = (-8/2)² = -4² = 16 to both sides.
[tex]x^2-8x+16=26[/tex]
Factoring left side of the equation.
[tex](x-4)^2 =26[/tex]
Taking the square root of both sides.
[tex]x-4=\pm\sqrt{26}[/tex]
Adding 4 to both sides.
[tex]x=4\pm\sqrt{26}[/tex]
[tex]\rule[225]{225}{2}[/tex]
PLEASE HELP ME IN FINANCE!!
Which factor could influence an employer to reduce the number of workers at his business?
A. An economic downturn
B. Better education in workers
C. The opening of a new location
D. High demand for the company's goods
Answer:
A
Step-by-step explanation:
if we had a economic turn down, basically people would lose money, so that means the consumers, so the producers will have a bunch of left over products because the people can't afford to buy as much, which means the company loses money, which means the employees must be let go of so the business doesn't go out of business
A] Economic Downturn could influence Employer to reduce number of workers at business.
Economic Downturn is a slowdown in economic activities for a considerable period of time. It is characterised by low demand by consumers & low production levels in businesses.
This situation implies that a rational employer would reduce the workers employed, as there is lesser demand & need of production.
Better educated workers, new location' opening, high demand of goods : are rather likely to increase employment levels instead of decreasing.
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Daniella has money automatically deposited into a savings account each week. after 3 weeks, she has $18. After 5 weeks, she has $30. the unit rate is measured in dollars per week. what is the constant of proportionality.
Answer: 6 dollars
Step-by-step explanation:
Acquarium workers are making a mixture of salt water. The desired ratio is 90 grams of salt per liter of water. What is the ratio in ounces per gallon?
Answer: 12.07 ounce/gallon.
Step-by-step explanation:
given data:
desired ratio = 90grams / liter of water.
ratio In ounce/ gallon
first we convert our grams to ounce
= 98grams / 28.35
= 3.175 ounce.
converting liter to gallons
= 1/3.8
=0.263 gallons
therefore;
= 3.175 ounce / 0.263 gallons
= 12.07 ounce/gallon.
PLZ HELP ME PLEASEEEEE ASAP THIS IS SIGN LANGUAGE HELP I GIVE HECKA POINTS 1: Signs made too close to another person's face can be offensive. True False 2: When a joke is interpreted, it is acceptable for the interpreter to smile. True False 3: Total Communication can include elements of ASL and SEE. True False
Answer:
#1 true
#2 false
false
Step-by-step explanation:
-4c^2+7, c=7a^2 solve for c
The answer is explained in the photo I have linked.
answer this question.
Answer:
I think the answer is 4)may be negative
PLZ ANSWER ASAP!!!!!!!
Answer:
u=(9-6w)÷-2
Step-by-step explanation:
Answer:
u = 3w - 4.5
Step-by-step explanation:
Step 1: -2u + 6w = 9 - Solve for u by isolating the variable u.
Step 2: Subtract 6w both sides
-2u = 9 - 6w
Step 3: Divide by -2 both sides
u = ( 9 - 6w ) / ( -2 )
u = 3w - 4.5
Have a good day!! :)
This oblique triangular prism has a volume of 63 cm.
What is the area of the base of the prism?
Answer:
its 10.5 cm
Step-by-step explanation:
its what I got off of khan
The base area of the oblique triangular prism is 10.5 square cm
How to determine the base area?The volume is given as:
Volume = 63 cubic cm
The height of the prism is:
Height = 6 cm
The base area of the prism is then calculated using:
Area = Volume/Height
So, we have:
Area = 63/6
Evaluate
Area = 10.5
Hence, the base area of the triangular prism is 10.5 square cm
Read more about volume at:
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the banana is 8 inches long how many 0.4 inch slices can be cut from the banana
Answer:20
Step-by-step explanation:
can someone tell me whats1+1
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
You have one orange and your friend gives you another, then you will have 2.
Hope this helps ;) ❤❤❤
What would be the constant in this problem? 20c+5w+95.50
Answer:
95.50
Step-by-step explanation:
a constant is a number not attached to a variable
in this case the variables are c and w
95.50 is the only one without a variable
Jenae works at a clothing store and gets a bonus of $10 a month, plus $0.50 every time she sells the item of the month.Every time a customer compliments her service to the manager, she gets a $2 bonus.If Jenae sold the item of the month 17 times and received 2 customer compliments, what will her bonus be this month? *
Answer:
$22.50
Step-by-step explanation:
Let's write what we know.
$10 a month bonus
+ $0.50 / per item of the month
$2 per compliment
We can write an equation:
T = Total bonus for the month
i = number of item of the month sales
c = number of compliments
T = $10 + $0.50i + $2c
i = 17
c = 2
Plug in the values:
T = $10 + $0.50i + $2c
T = $10 + $0.50( 17 )+ $2( 2 )
T = $10 + $8.50 + 4
T = $22.50
Her bonus for this month is $22.50
Jenae bonus for this month is $22.50.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that Jenae works at a clothing store and gets a bonus of $10 a month, plus $0.50 every time she sells the item of the month.
$10 a month bonus + $0.50 / per item of the month
$2 per compliment
We can write an equation;
T = Total bonus for the month
i = number of item of the month sales
c = number of compliments
T = $10 + $0.50i + $2c
i = 17
c = 2
Plug in the values;
T = $10 + $0.50i + $2c
T = $10 + $0.50( 17 )+ $2( 2 )
T = $10 + $8.50 + 4
T = $22.50
Hence, Jenae bonus for this month is $22.50.
Learn more about equations here;
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Which of the following expressions has a value of 26.48?
26,480 ÷ 104
2,648 ÷ 102
264.8 ÷ 103
2.648 ÷ 101
Answer:
none of them are right
Step-by-step explanation:
a is 254.6153846153846.
b is 25.96078431372549
c is 2.570873786407767
d is 0.0262178217821782
if b would to be 2,648 divided by 100* it would correct but sadly none of them are correct.
Answer:
The only option that comes close is option 2.
Explanation:
Put everything into your calculator as you see it:
26,480 / 104 = 254.61
2,648 / 102 = 25.96
264.8 / 103 = 2.57
2.648 / 101 = 0.02
is it possible to have a regular polygon whose each exterior angle measure 57 degree justify your answer
Answer:
NoStep-by-step explanation:
The sum of all exterior angles of any regular polygon is 360°.
= [tex]\frac{360}{57} \\\\= 120/19\\or\:6.315[/tex]
The number of sides should be a natural number not in fraction or decimal
20 POINT AND WILL MARK BRAINY Which properties can be used to solve 7y − 15 = −29? Select all that apply.
Answer:
addition property of equality
inverse property of multiplication
Step-by-step explanation:
7y − 15 = −29
Add 15 to each side using the addition property of equality
7y -15+15 = -29+15
7y = -14
Divide each side by 7 using the inverse property of multiplication
7y/7 = -14/7
y =2
Answer:
[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]
Step-by-step explanation:
[tex]\sf 7y-15=-29[/tex]
Using the additive property of equality, we add 15 to both sides of the equation.
[tex]\sf 7y-15+15=-29+15[/tex]
[tex]\sf 7y=-14[/tex]
Using the inverse property of multiplication, we divide both sides of the equation by 7.
[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]
[tex]\sf y = -2[/tex]
Can someone please help me with this question? I REALLY need help.
What is the value of [tex]$ \sum_{n=1}^\infty (\tan^{-1}\sqrt{n}-\tan^{-1}\sqrt{n+1})$[/tex]? The answer should be in radians.
Answer:
-45
Step-by-step explanation:
The question is asking for the sum of the sequence. Therefore, there is no such thing as a "radians" answer.
When you evaluate the sum, you should get -45 as your answer. To find so, you simply plug in 1 as n and other numbers then add the result.
The sum telescopes. Consider the N-th partial sum of the series,
[tex]S_N=\displaystyle\sum_{n=1}^N\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)[/tex]
[tex]S_N=\bigg(\tan^{-1}\sqrt1-\tan^{-1}\sqrt2\bigg)+\bigg(\tan^{-1}\sqrt2-\tan^{-1}\sqrt3\bigg)+\bigg(\tan^{-1}\sqrt3-\tan^{-1}\sqrt4\bigg)+\cdots+\bigg(\tan^{-1}\sqrt N-\tan^{-1}\sqrt{N+1}\bigg)[/tex]
Notice how [tex]\tan^{-1}\sqrt2[/tex] is added, then immediately subtracted. The same goes for [tex]\tan^{-1}\sqrt3[/tex], then [tex]\tan^{-1}\sqrt4[/tex], and so on, up to [tex]\tan^{-1}\sqrt N[/tex]. This leaves us with
[tex]S_N=\tan^{-1}\sqrt1-\tan^{-1}\sqrt{N+1}[/tex]
The value of the given sum is obtained as [tex]N\to\infty[/tex]. We get
[tex]\displaystyle\sum_{n=1}^\infty\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)=\lim_{N\to\infty}S_N=\tan^{-1}1-\lim_{N\to\infty}\tan^{-1}\sqrt{N+1}[/tex]
To compute the limit, recall that [tex]\tan^{-1}x[/tex] has a range of [tex]\left(-\frac\pi2,\frac\pi2\right)[/tex]; in particular, [tex]\tan^{-1}x\to\frac\pi2[/tex] as [tex]x\to\infty[/tex]. So we have
[tex]\displaystyle\sum_{n=1}^\infty\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)=\frac\pi4-\frac\pi2=\boxed{-\frac\pi4}[/tex]
in smithville. there were 230 teachers in 1990 and 324 teachers in 2000. find the percent of increase in the number of teachers in the smithville during this time period. Round to the nearest tenth of a percent.
Answer:
40.8696% increase (40.9%)
Hi. Could you please help me with this question??
Thanks :)
What is the perimeter of the diagram?
a.13cm
b.23cm
c.33cm
d.43cm
e.53cm
Find the sum : 1/2( x+7) = 32
Answer:
x=52
I think it is the answer
Hey everyone please I really need your help that idk what to answer this I’m so confused and but please don’t ignore this question
Step-by-step explanation:
The domain of a graph is all of the possible x values, and the range is all possible y values.
7. The graph goes on for both the x and y values, so the domain is (-inf, inf) and the range is (-inf, inf).
8. In this case, the domain is also (-inf, inf), but the range is [-2, inf) as there are no y values less than -2.
9. The domain is [-2, 2], as the x values only range from -2 to 2. The range is [-3, 3] as the y values range from -3 to 3.
10. The domain is (-inf, inf) because all x values are possible. The range is [-1, 1], as there are no y values greater than 1 or less than -1.
how do i write numbers in standard form?
Answer:
For Example say a number is in scientific form, 4.10x10^5, to write this in standard form you can either do 10^5=100,000x4.10=410,000, or you could simply take 4.10 and move the decimal place 5 places to the right, and you would get the same answer, 410,000.
Step-by-step explanation: