Which one is it?
a) <
b) =
c) >
Answer:
A: less that
Step-by-step explanation:
4( 14)+3
36+3= 39
39 (2+9)6-7
(11)6-7
66-7
59
39<59
Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7. What is the scale factor of the dilation of triangle DEF?
===============================================
Work Shown:
k = scale factor
k = (OF ')/(OF)
k = (OF ')/(OF ' + F ' F)
k = (3)/(3 + 10)
k = 3/13
The scale factor of the dilation of triangle DEF is 3/10.
What is Dilation?The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.
We have a triangle DEF is dilated to smaller triangle D'E'F' .
As, the length of OF' = 3 and F'F = 7.
So, the scale factor of dilation is
OF' / OF = 3 / 10.
Thus, the scale factor is 3/10.
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9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?
A. $12,415.64
B. $7, 915.64
C. $16,915.64
D. $8,115.64
(please help, it’s urgent) :)
Answer:
id say a
Step-by-step explanation:
The amount of interest his account should earn after 15 years is:
$7, 915.64.
Here, we have,
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days
Let, A= x
Now, x =$4,500(1+7/100×365)^(365×15)
x=$12415.64
i.e. final amount = $12415.64
so, the amount of interest his account should earn after 15 years is:
$12415.64 - 4500 = $7, 915.64
Hence, the amount of interest his account should earn after 15 years is: $7, 915.64
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Someone help me with this one
Answer:
p' (4,-2)
Step-by-step explanation:
P is at ( -1,5)
We are moving it 5 units to the right so add 5 to the x
We are moving it 7 units down so subtract 7 from the y
p'( -1+5, 5-7)
p' (4,-2)
What is the sign of -x/-y when x > 0 and y > 0?
Answer:
pretty sure its positive
Step-by-step explanation:
hope this helps, have a great day!
Answer:
A is correct
Step-by-step explanation:
if we know that both x and y are positive, they are both going to be negative
and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something
Calculate the sizes of the unknown angles in each diagram.
Please, answer with explanation.
Step-by-step explanation:
a) 2z+3z+4z=180
9z=180
z=20
So,three angles are 40,60 and 80
b) (y+30)+(2y+80)+(y+10)=180
y+30+2y+80+y+10=180
4y+120=180
4y=60
y=15
Three angles are 45,110,25
if x= 3-2^2 then find the value of x^2+1÷x^2
X = 3-2^2
Simplify x:
3-4 = -1
X = -1
Replace x in the equation and solve:
(-1) ^2 + 1 /(-1)^2
(-1)^2 = 1
Simplify to get 1 + 1/1 = 1+ 1 = 2
The answer = 2
I will give 25 points for it if solve this problem
Answer:
5/27
30/81 = 10/17
it's just ratios but if you need then vice versa, swap numerator and denominator
Answer:
the person on top is correct :)
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit y made by the company from selling each widget at x price is modeled by the equation:
[tex]y=-x^2+72x-458[/tex]
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:
[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
14cm and 31cm and 34cm equal
Answer:
if its addition then it will be 79cm
Which expression is equivalent to
(3m² + 5m - 2) + (-2m +18)?
Someone answer ASAP
3m^2 +5m-2-2m+18
3m^2 +3m+16
Answer:
3m² + 3 m + 16
Step-by-step explanation:
( 3 m ² + 5 m - 2 ) + ( - 2m + 18 )
Remove the unnecessary parantheses and rewrite
3 m ² + 5 m - 2 - 2 m + 18
combine like terms
3m² + 5 m - 2 m + 18 - 2
calculate the sum
3m² + 3 m + 16
What is the value of n?
Answer:
n = 28 degree
Step-by-step explanation:
2n + 17 + 2n - 5 + 2n = 180 degree (sum of interior angles of a triangle)
6n +12 = 180
6n = 180 - 12
n = 168/6
n = 28 degree
Analyze the diagram below and complete the instructions that follow.
Find the exact value of tan(M).
Explanation:
Recall that tangent = opposite/adjacent.
For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.
Answer:
C or 5/12
Step-by-step explanation:
the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.
Answer:
Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.
In mathematical terms,
X
∼
P
o
i
s
s
o
n
(
2
)
.
The PMF of the random variable X is given as,
P
(
X
=
x
)
=
e
−
2
×
2
x
x
!
f
o
r
x
=
0
,
1
,
2
,
.
.
.
.
.
=
0
E
l
s
e
w
h
e
r
e
The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,
P
(
X
≤
3
)
=
P
(
X
=
0
)
+
P
(
X
=
1
)
+
P
(
X
=
2
)
+
P
(
X
=
3
)
=
e
−
2
×
2
0
0
!
+
e
−
2
×
2
1
1
!
+
e
−
2
×
2
2
2
!
+
e
−
2
×
2
3
3
!
=
0
.13534
+
0
.27067
+
0
.27067
+
0
.18045
=
0
.85712
Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:
PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP
Answer:
Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000
Step-by-step explanation:
9.22 = 9.2200
9.202 = 9.2020
9.8 = 9.8000
9.2211 = 9.2211
Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.
Arranging : 9.2200, 9.2020, 9.2211, 9.800
So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]
Arranging : 9.2020 , 9.2200, 9.2211, 9.8000
Now compare the numbers in tenths , hundredths and thousandth place :
[220, 202, 800, 221 ]
Arranging : 9.202, 9.220, 9.221, 9.800
Now compare all the four numbers and arrange :
[ 2200, 2020 , 8000, 2211 ]
Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000
Gabe went to the florida mall. He bought k model planes and spent 24 on books.Then he another 25 at another store
Answer:
[tex]Amount = 49 + 14.99k[/tex]
Step-by-step explanation:
Given
[tex]Books = 24[/tex]
[tex]Another\ Store = 25[/tex]
[tex]Model = k[/tex]
Cost of [tex]Model = 14.99[/tex] --- Missing from the question
Required
Represent the amount spent
The amount is calculated as:
[tex]Amount = Books + Another\ Store + Model * Cost[/tex]
[tex]Amount = 25 + 24 + k * 14.99[/tex]
[tex]Amount = 49 + 14.99k[/tex]
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
6.5 cm
17.4 cm
14.6 cm
9.4 cm
Answer:
6.5cm)
Step-by-step explanation:
13.1 cm x 13.1 cm = 171.61
11.4 cm 11.4 cm = 129.96
171.61 - 129.96 = 41.65
Find the square root of 41.65.
41.65 = 6.4536811201050 x 6.4536811201050
Round 6.4536811201050.
x = 6.5cm
Note:
Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!
-kiniwih426
Write an equation that represents the line
My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??
Answer:
Something that's in your budget.
The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost
Answer: it b y’all
Step-by-step explanation: I took the test
Answer:
B
Step-by-step explanation:
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.
Find two integers whose sum is 5 and product is -66 TWO INTEGRES
NOT 1 TWO
Answer:
-6 and 11
Step-by-step explanation:
The only factors of 66 are 11, 6, 2 and 3
11*6 is the only pair whose product is 66
The difference betwen 11 and 6 is 5
11 must be positive and 6 negative since the sum is positve
Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?
Answer:
The answer is below
Step-by-step explanation:
1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:
Average speed = total distance / total time
Total distance = d miles + w miles
Jacqui drives three times as long as she walks during the trip, hence:
time spent driving = 3t
Total time = 3t + t
Average speed = total distance / total time
a = (d + w) / (3t + t)
2) (3t + t) represents the total time that Jacqui spends traveling to the beach.
3) Given that a = 36 miles per hour, total time = 2 hours
a = total distance / total time
36 miles per hour = total distance / 2 hours
total distance = 72 miles
Total distance = distance walk + distance drove
72 = distance walk + 70
Distance walk = 2 miles
Please help I’ll give brainliest
Answer:
33
Step-by-step explanation:
The formula for solving the area of a Trapezoid is a+b/2*h if we substitute the value to 16+3/2*3 it will equal 33
factorize: 9x^2 - 24xy + 16y^2
9x²-24xy+16y²
(3x)²-2.(3x)(4y) +(4y)²
(3x-4y)²
(3x-4y)(3x-4y)
Answer:
[tex](3x -4y)^2[/tex]
Step-by-step explanation:
[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]
[tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]
a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]
[tex]=(3x -4y)(3x - 4y)[/tex]
[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?
What is parallel to y=-5+4.2x
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
Can anyone help ? :) thanks
no se ingles xd asi que la verdad sorry aun que dime si es potensiacion
Find the volume of the pyramid shown.
Answer:
48
Step-by-step explanation:
I did the work, the answer is 48
The answer would be 40, I just guest and got it right Answer: 40 cubic centimeters
Step-by-step explanation: