Answer: x^2+29x+39
You would first have to set up an equation, which would be ((2x+9)⋅(x+6))-((x-5)⋅(x-3)) to find the area of both rectangles.
Then you can simplify it, which gives us 2x^2+21x+54-(x^2-8x+15)
Then simplify it even more which gives us 2x^2+21x+54-x^2+8x-15
Then we can get our answer: x^2+29x+39
Hope that helps :)
Xander is starting his own small business. He borrows $10,000 from the bank at a 4% rate for 5 years. Find the interest he will pay on this loan.
Answer:
$6000
Step-by-step explanation:
Given data
Principal=$10000
Rate=4%
time=15years
The simple interest id found by
SI=PRT/100
substitute
SI=10000*4*15/100
SI= 600000/100
SI=$6000
Hence the interest is $6000
what is 20.907x0.0004
Answer:
0.0083628
Step-by-step explanation:
Here is the answer
Evaluate: C(14, 10)
no pic just answer it
Given:
The combination C(14,10).
To find:
The value of the given combination.
Solution:
We know that,
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Using this formula, we get
[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]
[tex]C(14,10)=7\times 13\times 11[/tex]
[tex]C(14,10)=1001[/tex]
Therefore, the value of C(14,10) is 1001 and the correct option is B.
The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".
Equivalent expression:using formula:
[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]
putting the given value into the above formula:
[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]
[tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]
Therefore, the final answer is "1001".
Find out more information on the equivalent here:
brainly.com/question/17733453
PLS HELP, WILL REWARD BRAINLIEST ASAP :)
Evaluate the expression for b = 5
3b + 10
Answer:
3b = 3 x 5
3 x 5 + 10 = 15 + 10 = 25
I paid $30.48 for 12 gallons of gas. What is
the unit rate of gas per gallon?
FAST PLLZZZZ
Answer:
$2.54 per gallon
Step-by-step explanation:
30.48 / 12 = 2.54
Answer:
$2.54
Step-by-step explanation:
30.54 / 12 = 2.54
A random representative survey of 100 seventh-graders in Washington Middle School shows that 20 students read 5 or more books over the summer. If there are 275 seventh-graders at Washington Middle School, based on the sample results how many seventh-graders read 5 or more books last summer?
20 out of 100 read 5 or more.
20/100 = 0.2
Now multiply the total students by 0..2:
275 x 0.2 = 55
55 people read 5 or more books.
Delvin conduct a scientific experiment for a certain time the temperature of a compound rose 1 3/4 every 2 1/3 hours how much is the temperature of the compound rise in one hour?
A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 125 cubic feet?
Answer: 14
Step-by-step explanation:
Given
Excavation cone measures
height [tex]h=6\ ft[/tex]
Diameter [tex]d=30\ ft[/tex]
Truck can dump [tex]125\ ft^3[/tex] at a time
The volume of a cone is
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Putting values
[tex]\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3[/tex]
No of trips(N) required to accumulate this much volume is given by
[tex]\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14[/tex]
Therefore, 14 trips are necessary to accumulate a cone of volume [tex]1414\ ft^3[/tex]
Jake map shows the distance from the big star coffee to the restaurant supply store as it 3 cm is the scale of the map is 1 cm to 8 km what is the real distance from the shop to the store
Answer: The real distance from the shop to the store = 24 km.
Step-by-step explanation:
Given: The distance from the big star coffee to the restaurant supply store = 3cm (On map)
Scale of the map : 1 cm to 8 km
That means, the real distance from the shop to the store = 3 x ( 8 km ) = 24 km
Hence, the real distance from the shop to the store = 24 km.
Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?
Answer:
0.67 Laps per minute
Step-by-step explanation:
4 Laps over 6 Minutes
4/6 = 0.67
Find the measure of the missing angle.
17
81 x°
Answer:
82 degrees
Step-by-step explanation:
Hope this helps!
Lmk if you have any questions!
Have a great day! :)
matematicas 2×-4y=-8
Answer:
y = 2.5
Step-by-step explanation:
-4y = -8-2
-4y = -10
y = -10÷-4
y = 2.5
24 km
10 km
What is the length of the hypotenuse?
Answer:
20
Step-by-step explanation:
the hypotenuse is double the length of the shortest leg
could you help please
A school board voted whether to adopt a new math text book.Those that voted yes outvoted those that voted no by a ratio of 5:1 if 18 total school board members voted in the meeting how many voted yes for new math books?
Answer:
Members that voted yes = 15 Members
Step-by-step explanation:
Members that voted yes : members that voted no = 5 : 1
Total ratio = 5 + 1 = 6
total school board members that voted = 18
how many voted yes for new math books?
Members that voted yes = 5/6 × 18
= 0.8333333333333 × 18
= 15 members
Members that voted yes = 15 Members
members that voted no = 1/6 × 18
= 0.1666666666666 × 18
= 3
members that voted no = 3 members
indentify the measure of angle 2. ( write the number only.)
Answer:
72°
Step-by-step explanation:
here's your solution
=> we know angle A + angle S = 2
=> angle 2 = 30° + 42°
=> 72°
hope it helps
Please help! 20 points!
Answer:
i dont know sorry
Step-by-step explanation:
The distance in miles that some students live from school is show in the histogram which stamen about the data in the histogram is true
Answer:
D). The distribution of the data is symmetrical, so the mean and median are within the "2.1-3 mile" category.
Step-by-step explanation:
The last statement i.e. 'The distribution..."2.1-3 mile" category' correctly asserts a true claim regarding the data provided in the given histogram. It aptly states that the dissemination of the data is uniform(2, 4, 5, 4, 2(no. of students) live between the distance of 0.1 to 5 miles from the school) and this causes both the mean, as well as, the median of the distribution to fall in the category between '2.1 to 3 mile.' Thus, option D is the correct answer.
There were 36 sweatshirts on sale for 2/3 of the regular price. What was
the sale price if the regular price was $30?
Answer:
To sum up, we solved for W. Finally, the sale price of a sweatshirt was 20$.
Step-by-step explanation:
So we have our main equation of W/G=p. The G stands for the total amount which is 30. The W is the unknown in this case. As for the p equals 2/3.
Thus we substitute G and p into the equation W/30=2/3. We multiply both sides of the equation with 30 W=2*30/3. Which gives us 60/3=20.
Angle DEF is similar to angle JKL.Find the length of JL and KL? First triangle DF 12.4cm DE 4cm EF 9cm other triangle JK 3cm JL ? KL ?
Answer:
KL = 6.75cm
JL = 9.3cm
Step-by-step explanation:
SInce Angle DEF is similar to angle JKL.
Then;
DE/EF = JK/KL
Given
DE = 4cm
JK = 3cm
EF = 9cm
Substitute
4/9 = 3/KL
4KL = 27
KL = 27/4
KL = 6.75cm
Similarly
DF/EF = JL/KL
12.4cm/9 = JL/6.75
9JL = 12.4 * 6.75
9JL = 83.7
JL = 83.7/9
JL = 9.3cm
4768 in standard form?
Answer:
4.768×10^3
Step-by-step explanation:
4768 in standard form:
4.768 *10^3
It already is in standard form.
Please help i dont know the answer and this is due today
Q Nine divided by the product of a number and Five
Q2 The product of a sum and diffrence of x and y
Step-by-step explanation:
Q Nine divided by the product of a number and Five
Let the number = x
product of a number and Five = x * 5 = 5x
The expression is given as;
[tex]\frac{9}{5x}[/tex]
Q2 The product of a sum and difference of x and y
Sum of x and y = x + y
Difference of x and y = x - y
The expression is given as;
(x + y) * ( x -y)
x^2 + xy - xy - y^2
x^2 - y^2
PLS HELP IM TIMED!!!
Answer:
(10,-1)
Step-by-step explanation:
Answer:
10,-1
Step-by-step explanation:
when going right it adds a positive number to the x axis
when going left it adds a negative number to the x axis (same as subtracting)
when going up it adds a positive number to the y axis
when going down it adds a negative number to the y axis (same as subtracting)
Please help! Thank you
Answer:
B 10/26
Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse.
Step-by-step explanation:
cos A=base/hypotenuse
cosA=10/26 is your answer
Simplify the following surd expressions
a) 5√5 - 2√5
b) 8√7 + 3√7
Answer:
a)3√5
b)11√7
is answer.
A number m increased by 5 is 7
Answer:
m+5=7
Step-by-step explanation:
a number=m
increased by 5= +5
is 7 = =7
(a number) 5 (increased by 5) +5 (is 7) =7
5 +5 =7
A city pool has 3 wading pools. Each pool is in the shape of a parallelogram with a
base of 4.2 meters and a height of 3.2 meters. What is the total area of the splash
pads?
40.32 m2
O
13.44 m2
O m
10.4 m2
Answer:
i think it's 13.44
Step-by-step explanation:
im not really sure, but let me know if im wright pls!!
hope this helped!!
16
Kaci has $760 in her savings account and $200
in her checking account. If she withdraws $40
from her checking account, find the ratio of her
checking account balance to her savings
account balance. Write the ratio in simplist
form.
What is 200 - 40? Also, the GCF of 160 and 760 is 40
Answer:
Step-by-step explanation:
mkk
What’s the value of x?
Answer:
x=114 i believe
Step-by-step explanation:
x+66=180
subtract 66 from 180,which gives you 114