Answers
Here, we have the expression [tex]\frac{x^2 + 4}{2}[/tex] and we're asked
to evaluate the expression when x = -2.
To evaluate an expression, we simply plug
the value of the variable into the expression and solve.
So here, since x = -2, we have [tex]\frac{(-2)^2 + 4}{2}[/tex].
Notice that I used parentheses around the -2.
This is a good idea when substituting numbers in for variables.
Next, the order of operations tell us that exponent comes first.
So we have (-2)² which is 4.
So we have [tex]\frac{4 + 4}{2}[/tex].
Now when we have a division bar, it's important to understand
that it has the same effect on a problem as a set of parentheses
in that it groups terms together.
So this 4 + 4 can be thought of as being inside a set of parentheses.
So we can also write this as [tex]\frac{(4 + 4)}{2}[/tex].
Now simplify the top to get 8 and we have 8/2 which is 4.
Related Questions
sin(A+B) - sin(A-B) = 2cos A sin B
Prove that answer please , I'm stuck
Answers
Answer:
Step-by-step explanation:
Hello,
I assume that you know that
[tex]sin(A+B)=sinAcosB+cosAsinB\\\\sin(A-B)=sinAcosB-cosAsinB[/tex]
One way to retrieve them quickly is to use Euler's formula and then,
[tex]cos(A+B)+isin(A+B)=e^{i(A+B)}=e^{iA}e^{iB}=(cosA+isinA)(cosB+isinB)[/tex]
and you can replace B by -B for the second formula.
So, it comes that sin(A+B)-sin(A-B)=2cosAsinB
Hope this helps
THIS IS URGENT. The table above shows the number of students that prefer a particular type of pizza. If there are 25 students
in the class, what percent of students prefer a 4-Cheese pizza?
Answers
Answer:
40%
Step-by-step explanation:
Answer:
32%
Step-by-step explanation:
8 of 25=32%
Which equation represents a line that passes through (4, 5) and has a slope of ?
Oy--(-4)
Oy-- (-4)
Oy- } = 4(x-)
Oy- 4 = (x - 1)
Answers
Answer:
B
Step-by-step explanation:
Since we are given a point and the slope, we can use the point-slope form. Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where (x₁, y₁) is a point and m is our slope.
Let's let our point (4, 1/3) be (x₁, y₁) respectively.
We also know that our slope is 3/4. So, we will substitute 3/4 for m.
This yields:
[tex]\displaystyle y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]
The choice that represents this is B.
So, our correct answer is B.
And we're done!
[tex]y - \frac{1}{3} = \frac{3}{4} (x - 4)[/tex]
Step-by-step explanation:Given the line passes through (4, 1/3) and it's slope is 3/4
[tex]y = mx + c[/tex]
[tex]slope = m[/tex]
[tex]m = \frac{3}{4} [/tex]
[tex]y = \frac{3}{4} x + c[/tex]
At (4, 1/3)
[tex] \frac{1}{3} = \frac{3}{4} (4) + c[/tex]
[tex]c = - \frac{8}{3} [/tex]
[tex]y - intercept = - \frac{8}{3} [/tex]
The equation of the line:
[tex]y = \frac{3}{4} x - \frac{8}{3} [/tex]
The answer is:
[tex]y - \frac{1}{3} = \frac{3}{4} (x - 4)[/tex]
*if you expand the equation above you will get the equation of line you initially got*
(9-3) -6+(-102
Help me
Answers
Answer: -102
Step-by-step explanation: First we do 9-3 = 6, then add -6 which cancels each other out, so all we have left is -102.
Hope this helps! :)
Answer:
-102
Step-by-step explanation:
(+9) - (+3) = +6
(-6) = -6
+ (-102) = -102
so, +6 -6 -102 = -102
WHAT IS 50 DIVIDED BY 32 RESONG FAST PLEASE
Answers
Answer:
1.5625
Step-by-step explanation:
the answer is 1.5625
The sequence -4,-6,-8,-10 has a constant ratio or difference of
Answers
Answer:
2
Step-by-step explanation:
We can subtract to find the common difference.
-4 - (-6) = 2
-6 - (-8) = 2
-8 - (-10) = 2
As you can see it is constant.
Best of Luck!
Approximately 8% of all people have blue eyes. Out of a sample of 20 people what is the probability that 2 of them have blue eyes
Answers
Answer: 10%
Step-by-step explanation:
2/20
8abc2 + abc2 + 3 – 1
Answers
Step-by-step explanation:
First collect like terms
ie. 8abc2+ abc2 + 3-1
9abc4 - 2
Woul I use open or close intervals for x - 1 < 5
Answers
Hi there!
You would use open intervals.
In the given inequality, the "<" sign is used, which means "greater than".
Open intervals would be used unless the inequality uses "≤" or "≥", which
mean "equal to or greater/less than". Closed brackets would be used in this
instance.
Mrs. Cook is a teacher whose salary is $23,125 for a 185-day school year. In Mrs. Cook's school district, substitute teachers are paid at a rate of $90 per day. If a substitute is paid to teach Mrs. Cook's class in her absence one day, how much less does the school district pay in salary by paying a substitute teacher instead of paying Mrs. Cook for that day? *
Answers
Answer:
35
Step-by-step explanation:
23,125/185= 125
125-90 = 35
$35 less amount school district pay in salary by paying a substitute teacher instead of paying Mrs. Cook for that day
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Mrs. Cook is a teacher whose salary is $23,125 for a 185-day school year.
Mrs. Cook per day salary= 23125/ 185 = $125
Now, substitute teachers are paid at a rate of $90 per day.
So, if substitute teachers take class instead of Mrs. Cook, then school will pay
= 125-90
=$35 less amount.
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PLEASEEE ANSWERRRRRRRRRRRRR
Construct a line through P that is parallel to given line by following these steps.
1. Construct a line though points Q and P
Answers
Answer:
its a triangle 1stQ 2ndP 3rdN
Step-by-step explanation:
Which statements about the diagram are true?
A
M
w
N
S
7
K
a
Cis coplanar with plane YDU.
plane KCW and plane CHK intersect at K.
b
ud
CD and CN
CN intersect at
Nis coplanar with plane YDU.
Answers
830040 in expanded form with exponets
Answers
Given that the center of a circle is C(-10,-7) and the point S(4,4) lies on the circle's edge calculate the circle's radius to two decimal places
Answers
Answer:
[tex]r\approx 17.80[/tex]
Step-by-step explanation:
Equation of the Circle
A circle can be completely defined knowing its center and radius. The radius is the distance from the center to any point in its edge. Since we know the center of the circle is (-10,-7) and one point in its edge is (4,4), we calculate the distance between those points:
[tex]r=\sqrt{(4-(-10))^2+(4-(-7))^2}[/tex]
[tex]r=\sqrt{14^2+11^2}[/tex]
[tex]r=\sqrt{196+121}=\sqrt{317}[/tex]
[tex]\boxed{r\approx 17.80}[/tex]
If a car travels 45 miles in 30 min, how far will the car have traveled in 2.5 hours?
Answers
Answer:
210 miles I think
Step-by-step explanation:
______________
Answer:
225 miles
Step-by-step explanation:
45 miles in 30 mins
90 miles in an hour
2 hours × 90 miles is 180 miles. Then add the half hour which is 45, to 180. That gives you 225 miles in 2.5 hours.
2.6x10^2+3.9x10^11 what is this
Answers
Answer:
10 · 13 (2 + 3 · [tex]10^{9}[/tex] w)
Step-by-step explanation:
hope this helps!!!
Find the circumference and the area of a circle with radius 3 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers
Answers
Circumference = 2 x radius x Pi
= 2 x 3 x 3.14
= 6 x 3.14
= 18.84 feet
Area = pi x r ^2
= 3.14 x 3^2
= 3.14 x 9
= 28.26 square feet
The circumference of the circle will be C= 18.84 ft and the area of the circle will be [tex]A=28.27 ft^2[/tex]
What is area of the circle?The area of the circle is defined as the quantity of the space covered by the circle in a two-dimensional plane.
It is given in the question ;
Radius of the circle = 3 ft.
The area of the circle is given by the formula;
[tex]A=\pi r^2[/tex]
[tex]A=\pi \times 3\times 3[/tex]
[tex]A= 28.27\ Ft ^2[/tex]
Circumference of the circle is given by
[tex]C=2\pi r[/tex]
[tex]C=2\pi\times 3[/tex]
[tex]C=18.84\ Ft[/tex]
Hence the circumference of the circle will be C= 18.84 ft and the area of the circle will be [tex]A=28.27 ft^2[/tex]
To know more about Circle follow
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Suppose you measured the diameter of a tree trunk to be 5 cm. The actual diameter can vary by at most 0.4 cm, due to the error in measuring a non-flat surface. Write an absolute value inequality for the range of acceptable diameters and solve the inequality.
Answers
Answer:
|d − 0.4| ≤ 5; −4.6 ≤ d ≤ 5.4
Step-by-step explanation:
Ali has 11 more than twice as many color pencils as Benji. Together they have 89 pencils.
How many color pencils do they each have?
Answers
Answer:
Benji: 26
Ali:53
Step-by-step explanation:
Benji:X
Ali: 2X+11
2X+11+X=89
3X+11=89
3X=78
X=26
Benji: 26
Ali: 2×26+11=53
Simplify. *
[3+ (9 – 6)] [52 – 3:5((42 – 2 · 8))]
Answers
(6)[52-(3/5)(26)]
(6)(52-15.6)
36.4(6)
218.4
if this is wrong im so sorry
The perimeter of a rectangle is 38 feet. The length is four more than twice the width.
Find dimensions plz
Answers
Answer:
length=14 width=5
Step-by-step explanation:
since the length is 4 more then subtract 4*2=8 which would equal 30 divide that by two since a rectangle has 4 sides two of which are the same,
than divide it by the getting 5 which is the width.
subtract 5*2=10 from 38 which would = 28
28divided by 2 is the length which is 14
Answer:
The answer are
Width=5ft
Length=14ft
Step-by-step explanation:
P=2(L+B)
P/2=2(L+B)/2
P/2=L+B
L=4+2W
38/2=4+2W+W
19=4+3W
3W=19-4
3W=15
divide both sides by 3
3W/3=15/3
W=5ft
L=4+2W
L=4+2(5)
L=4+10
L=14ft
Perpendicular lines are
lines that never intersect.
lines that intersect at one point
lines that intersect at 90* angle
two angles whose measure have a sum of 90*
Answers
Yassir had $78 in his bank account. He made a purchase of $126. How much money is now in Yassir's account?
Answers
Greetings! Hope this helps!
Answer
Yassir has $-48 dollars in his bank accound (in debt)
Explanation
78 - 126 = -48
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
Yassir has no money left in his bank account, he actually owes $48
Step-by-step explanation:
$78-$126=-$48
Could I please have BRAINLIEST.
In a soccer game, 1/8 of the players on team A and 1/5 of the players on team B score a goal. A total of 3 players on team A and 4 players on team B score a goal. How many players are on each team?
Answers
Answer:did you end up figuring it out?
Step-by-step explanation:
I rly need it I’m on a test
The total number of players on team A 24 is and on the team, B is 20.
What is a quantitative relation?The comparison of two quantities of constant units illustrates the quantitative relationship by showing what percentage of one quantity is a gift inside the other.
Team A's total player count should be "x" and Team B's total player count should be "y.".
Assuming that 3 players on Team A (or 1/8 of the players) have scored goals, this can be represented by,
1/8(x) = 3
x = 3 × 8
x = 24
Given that 4 players on Team B have scored goals, 1/5 of the players have scored a goal, which can be represented by,
1/5(y) = 4
y = 4 × 5
y = 20
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HELP ME NEED HELP WILL GIVE 20 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!
Answers
The second box is 13
The third box is 13
So since it’s the square root it will be plus or minus so the solutions will be -13 and 13
1. Amazon is experimenting with "drone delivery" and you are asked to determine a drone’s delivery route. The drone will leave the Amazon warehouse, make two deliveries, and then return to the warehouse. The first delivery is 7.10 miles from the warehouse in a direction 25.0O south of west. The second delivery is 11.2 miles, in a direction 38.0O south of east, from the location of the first delivery. After making its second delivery, how far and in what direction must the drone fly to return to the warehouse?
Answers
Answer:
Step-by-step explanation:
From the information given:
Let assume that the drone first delivery went to a certain place U, 7.10miles from the warehouse in the S 25.0° W direction.
However, the drone thus proceeds to the second delivery place V which is 11.2 miles in the S 38.0° W direction.
Then, location U can be determined from a graphical point of view as follows:
In the negative x-direction from the warehouse
[tex]U_x = 7.1 \times cos 25^0[/tex]
[tex]U_x = 7.1 \times 0.9063[/tex]
[tex]U_x = 6.44 \ miles[/tex]
In the negative y-direction from the warehouse
[tex]U_y =7.1 \times sin 25 ^0[/tex]
[tex]U_y =7.1 \times 0.4226[/tex]
[tex]U_y = 3.00 \ miles[/tex]
Also: the position of V with respect to U can be determined as follows:
in the positive x-direction from the warehouse
[tex]V_{UX} = UV \ cos 38[/tex]
[tex]V_{UX} = 8.83 \ miles[/tex]
In the negative y-direction from the warehouse:
[tex]V_{UY} = UV \ sin 38[/tex]
[tex]V_{UY} = 6.89 \ miles[/tex]
Similarly, we will need to determine the position of V with respect to the warehouse.
i.e.
In the positive x-direction the warehouse
[tex]V_x = U_x +V_{UX}[/tex]
[tex]V_x =[/tex] -6.44 + 8.83 ( since [tex]U_X[/tex] is in the negative direction)
[tex]V_x =[/tex] 2.39 miles
In the positive y-direction the warehouse
[tex]V_Y = U_Y + V_{UY}[/tex]
[tex]V_Y = -3.00 + (-6.89)[/tex] ( since both [tex]U_Y \ and \ V_{AY}[/tex] are in the negative direction)
[tex]V_Y =[/tex] -9.89 miles
Therefore, from above, the distance emanating how far is the drone back to the starting point is :
[tex]D = \sqrt{V_X^2+V^2_Y}[/tex]
[tex]D = \sqrt{(2.39)^2+(-9.89)^2}[/tex]
[tex]D = \sqrt{5.7121+97.8121}[/tex]
D = 10.18 miles
The direction of the drone can be deduced by taking the tangent of the trigonometry;
i.e.
[tex]tan \ \theta = ${\dfrac{opposite \ direction}{adjacent \ direction}}[/tex]
[tex]tan \ \theta = ${\dfrac{9.89}{ 2.39}}[/tex]
[tex]tan \ \theta =4.138[/tex]
[tex]\theta = \tan^{-1}(4.138)[/tex]
[tex]\theta = 76.41^0[/tex] in the north_west direction of V
You work at a video game store. Today, you are offering coupons for $10.00 off any new video game. A customer comes in with a coupon and purchases one video game for $59.99 and one controller for $39.99. How much should you charger this customer before tax?
Answers
Answer:
[tex]\huge\boxed{\$ 88.98}[/tex]
Step-by-step explanation:
In order to find the total price, we know that the total price will be all the items added up minus the coupon.
You get 10$ off any new video game. This means that when the customer purchases a video game for $59.99, he earns $10 off, so it ends up costing [tex]59.99-10=\$49.99[/tex].
Now we can add 39.99 to this since we do nothing to it. [tex]49.99+39.99=88.98[/tex]
Hope this helped!
The price of a pair of shoes increases from $55 to $63. What is the percent increase to the nearest percent?
View
The percent increase is
Answers
Answer:
3%
Step-by-step explanation:
Mary drilled a hole that is 5/8 inch wide. She has a screw that is 5/6 inch wide. Is the hole wide enough to fit the screw? Explain by comparing the two fractions.
Answers
Answer:
nope the screw can't fit in the hole.
Step-by-step explanation:
because 8 is smaller than 6, the pieces of 6 are bigger. If both of the rectangles have 5 pieces colored in, that the screw is bigger that the hole
the mean lifespan is 71.45 years, and the standard deviation is 12.35 years. Mr. Rodriguez would like to know how many days, on average, presidents tend to live beyond their 70th birthday. Find the mean and standard deviation of the transformed data. Note: There are 365 days in a year.
Answers
Answer:
Standard deviation, ∂ = 64.21 days
Mean = 429.21 days
Step-by-step explanation:
Given:
Mean lifespan = 71.45 years
Standard deviation = 12.35 years
Standard deviation, ∂ = x - µ / N
Where,
∂ = standard deviation
µ = mean life span
x = size of year
x = 70 years
Standard deviation, ∂ = x - µ / N
= 70 - (71.45 / 12.35)
= 70 - 5.79
= 64.21
Standard deviation, ∂ = 64.21 days
Mean = ∑x + standard deviation
∑x = 365
Mean = ∑x + standard deviation
= 365 + 64.21
= 429.21 days
Mean = 429.21 days
