Answer:
Hello,
2 (d + 7) (d - 7)
Step-by-step explanation:
2 d² - 98 = 2 (d² - 49) = 2 (d² - 7²)
a² - b² = (a + b) (a - b)
2 (d² - 7²) = 2 (d + 7) (d - 7)
Which shows how the distributive property can be used to evaluate 7x8 4/5?
Answer:
61 3/5
Step-by-step explanation:
we realize that 8 4/5 can be written as [8 + (4/5)]
hence 7 x 8 4/5
= 7 x [8 + (4/5)]
= 7 [8 + (4/5)] (use the distributive property, see attached for reference)
= 7(8) + 7(4/5)
= 56 + 28/5 (convert 28/5 into mixed fraction)
= 56 + 5 3/5
= 61 3/5 (answer)
Find the value of x.
Answer:
x=8
Step-by-step explanation:
5x+8
5x8=40
x=40
Answer:
x = 25.6
Step-by-step explanation:
1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them
48 * 2 = 96
Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.
2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.
360 - 96 = 264
264/2 = 132
3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.
5x + 8 = 132
5x = 128
x = 25.6
The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.
Pythagorean Theorem: Jason only has room for a TV that is less than 30^ prime prime wide.
Find the width of the TV
Answer:
Step-by-step explanation:
length² + width² = diagonal²
24² + width² = 40²
576 + width² = 1600
width² = 1600 - 576
width² = 1024
width = √1024 = √32*32
width = 32"
Width of the TV is more than 30"
Answer:
32
Step-by-step explanation:
First off, Bruh, 30" is not prime prime. That's 30 inches.
The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.
So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.
1600-576=1024.
So now, the root of 1024 is the base. Which is 32. Hope that helped.
Which inequality will have a shaded area below the boundary line?
Answer:
When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.
Step-by-step explanation:
Find the volume of the cone
Answer:
12π
Step-by-step explanation:
Volume of the cone is πr^2 * h / 3
r = 3
h = 4
9π * 4 / 3 = 12π
Answer: 37.6991118
Step-by-step explanation:
Financial goal is to purchase a house. To make Marcel’s financial goal of purchasing a house a specific goal, he can . Next, Marcel can make his goal timely by . Lastly, Marcel can make his financial goal measurable by each month.
Answer:
Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can FOCUS ON SAVING FOR A DOWN PAYMENT. Next, Marcel can make his goal timely by GIVING HIMSELF A DEADLINE. Lastly, Marcel can make his financial goal measurable by TRACKING THE AMOUNT OF MONEY HE SAVES each month.
The parabola opens to the right. The focus is given as
F (p,0) and directrix x = -p. The distance between the
focus and point P is equal to the distance between the
directrex and point P. Continue to simplify the equation to
solve for y2. THE ANSWER IS 4px!! :)
Answer:
Step-by-step explanation:
We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by
[tex](y-k)^2 = 4p(x-h)[/tex]
Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that
[tex]y^2 = 4px[/tex]
Answer:
y^2 = 4px
Step-by-step explanation:
edg 2021
How many outcomes are in the sample space of flipping a coin in spinning a spinner with sections labeled 1-4
Answer:
8 outcomes
Step-by-step explanation:
A coin has two possible outcomes: heads or tails.
The spinner has four possible outcomes: 1, 2, 3 or 4.
If we combine then, the number of outcomes will be the product of their number of outcomes:
2 * 4 = 8
So we will have a total of 8 outcomes:
heads, 1 / heads, 2 / heads, 3 / heads, 4 /
tails, 1 / tails, 2 / tails, 3 / tails, 4
Simplify.
2(m + 11)
2m + 11
2m + 22
24m
22m
Answer:
You distribute the 2 to the m=2m
Then you distribute the 2 to the 11 which gives you 22
ANSWER: 2m+22
Given: PK and PE tangents
m∠KPE = 60°,
2KP = PE + 1
Find: EK
Answer:
EK = 1.
Step-by-step explanation:
Here we have KP = PE (tangents from outside the circle)
Therefore, 2KP = PE + 1 = KP + 1
Hence, 2KP - KP = 1 or KP = 1 = PE
Since KE is the base of triangle KPE, where ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK
Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK = 180
Therefore, 60° + ∡PKE + ∡PEK = 180
Hence, ∡PKE + ∡PEK = 180° - 60° = 120°
Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;
∡PKE + ∡PEK = 2·∡PEK = 120° which gives
∡PEK = 60° = ∡PKE
Therefore, ∡KPE = ∡PEK = ∡PKE = 60°
Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1
EK = 1.
Factor this expression.
4x-12
O A. 4(x-4)
OB. 4(x-6)
O C. 4(x-3)
O D. 4(x-8)
Answer:
C. 4(x-3)
Step-by-step explanation:
Betty spent 12 minutes drying her hair and 16 minutes curling her hair. How much time did Betty spend drying and curling her hair combined?
Answer:
28 min
Step-by-step explanation:
The word combined signals to addition.
if we are adding 12+16, add the ones place first and you will get 8
There are 2 tens in the tens place
1+1=2
Put them together and it is 28 min
Hope this helped :)
Answer:
28
Step-by-step explanation:
because 12 + 16 = 28
Which will result in a perfect square trinomial?
Answer:
is there a picture?
Step-by-step explanation:
Can i get some help ♂️
Answer:
[tex]AC=13.5[/tex]
Step-by-step explanation:
Use the Law of Sines as follows:
[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]
Insert the values (use the steps from the last problem):
[tex]\frac{sin25}{14} =\frac{sin24}{b}[/tex]
Isolate b. Multiply both sides by b:
[tex]b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24[/tex]
Multiply both sides by 14:
[tex]14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24[/tex]
Isolate b. Divide both sides by sin 25:
[tex]\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}[/tex]
Insert the equation into a calculator and round to the nearest tenth:
[tex]b=13.5[/tex]
The length of AC is 13.5 units.
:Done
The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.
Answer the following questions about the equation modeling the volume of the shipping box.
Question 1
Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. If you get two solutions, are they both reasonable?
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
n = 9
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n² + 2n + 4n + 8 = 143
n² + 6n - 135 = 0
n² + 15n - 9n - 135 = 0
n(n + 15) - 9(n + 15) = 0
(n - 9)(n + 15) = 0
n = 9, -15
since n is a length, it can not be negative
Therefore the only solution is n = 9
plz halp meh!!!!!!!
Answer:
M=25-3D
Step-by-step explanation:
Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.
Jack ran 13.5 miles in 1.5 hours. What was his speed in miles per minute?
Answer:
9
Step-by-step explanation:
13.5 / 1.5 = 9
Answer:
[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]
Given:
Distance travelled = 13.5 miles
Time taken = 1.5 hours = 1.5 × 60 = 90 minutes
Step-by-step explanation:
[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]
Use DeMoivre’s Theorem to find (3cis(pi/6))^3.
a.) (27sqrt3)/2 +27/2 i
b.) (9sqrt3)/2 +9/2 i
c.) 27i
d.) 9i
Answer:
C. 27iStep-by-step explanation:
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))^3
= {3(cosπ/6 + isinπ/6)}^3
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
The right answer is 27i
If you take out a loan that costs $561 60 over eight years at an interest rate of 9% how much was the loan for?
Answer:
The loan was $28184.81
Step-by-step explanation:
Let the loan amount be x
Rate of interest on Loan = 9%
Time = 8 years
Amount of loan over 8 years = $56160
Formula : [tex]A=P(1+r)^t[/tex]
Where A = Amount =56160
P = Principal = x
r = rate of interest = 9% = 0.09
t = time = 8 years
Substitute the values in the formula :
So,[tex]56160=x(1+0.09)^8[/tex]
[tex]\frac{56160}{(1+0.09)^8}=x[/tex]
$28184.81=x
Hence The loan was $28184.81
Is (1, -2) a solution of y> -6x – 3?
Choose 1 answer:
Yes
No
Answer:
Yes
Step-by-step explanation:
(1, -2)
y > -6x – 3
-2 > -6(1) - 3
-2 > -6 - 3
-2 > -9 Yes
Is this SAS or Not SAS?
Answer:
SAS
Step-by-step explanation:
A man wants to hike two trails. The length of one trail is 7.709 km. The length of the other trail is 9.0309 km. What is the total length of the two trails?
Answer:
Its addition I think so the answer would we 16.7399km for both trials
Step-by-step explanation:
Choose the function whose graph is given below.
Y = csc x
Y= tan x
Y= sec x
Y = cot x
The given graph shown in the image is of function y = cotx. Option D is correct.
Given that,
To determine the function whose curve is plotted in the graph.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.
Thus, the given graph shown in the image is y = cotx. Option D is correct.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2
math question screen shot down below
Answer:
The correct answer is A, Point P
Step-by-step explanation:
since the additive inverse of 2 is -2 because -2 + 2 = 0 the correct choice must be choice A, Point P.
math question down below
Answer:
whats the question i dont see the link
Step-by-step explanation:
PLEASEEEEE HELPP !!!!!
A lake near Susan's house is predicted to lose water every
day because of a drought. The table shows the estimated
water depth in feet, y, after x days of drought.
Answer:
y = -0.5x + 100
Step-by-step explanation:
Im not really sure what i was supposed to answer but i hope it helped.
Answer:
A. y = −0.5x + 100
Step-by-step explanation:
Find , to the nearest tenth of a foot , the height of the tree represented in the accompanying diagram.
Answer:
Height of tree = 28.2 ft (Approx)
Step-by-step explanation:
Given:
Angle from ground to top of the tree = 62°
Distance from a point to base of tree = 15 ft
Height of tree = [tex]X[/tex]
Find:
Height of tree = [tex]X[/tex]
Computation:
Using trigonometric application:
[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]
Height of tree = 28.2 ft (Approx)
3) A box of chocolates contains four milk
chocolates and four dark chocolates. You
randomly pick a chocolate and eat it.
Then you randomly pick another piece.
The first piece is milk chocolate and the
second piece is dark chocolate.
Are the events independent or dependent?
What is the probability?
Answer:
dependent and 2/7
Step-by-step explanation:
dependent because you didn't replace it.
1/2 times 4/7 which is 4/14 which equals to 2/7
Max pays his rent for $300 on April 28th.
Max mows a different neighbor's lawn on April 29th and they pay him $15.
Max fills up his tank at a gas station on April 30th for $29.80.
Max buys a snack in the gas station for $4.57 the same day.
How much money does Max have on April 30th after he buys the snack?
Lee watches tv for 4 hours per day. During that time , the tv consumes 200 watts per hour. electricity costs (15 cents)/( 1 kilowatt-hour). How much does lee’s tv cost to operate for a month of 30 days?
Answer: $3.6
Step-by-step explanation:
Hi, to answer this question, first we have to calculate watt hours per day:
200 wph x 4 hours = 800 watt hours
Now, we have to convert the watt-hours to kilowatt hours:
800 wh /1000 =0.8 kwh
Since he watches TV 30 days per month:
0.8 kw x 30 days = 24 kwh
Finally we have to multiply that result by the price per kilowatt hour (15 cents)
24 kwh x 15 cents = 360 cents
Converting to dollars:
360/ 100 = $3.6
Lee’s TV cost 3.6 dollars to operate for a month of 30 days
