Answer:
Step-by-step explanation:
Rewrite
9
x
2
as
(
3
x
)
2
.
(
3
x
)
2
−
16
Rewrite
16
as
4
2
.
(
3
x
)
2
−
4
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
3
x
and
b
=
4
.
(
3
x
+
4
)
(
3
x
−
4
)
hii i need help on another question!
find the total cost to the nearest cent.
$24 shirt; 6% tax
The answer is $25.44. You need to add the cost of the shirt and the tax together for the answer. The cost of the shirt is $24 and the tax of it is $1.44. So $24 + $1.44 = $25.44.
Answer:
$25.44Step-by-step explanation:
total cost of shirt = $24 x 1.06
= $25.44
What is the volume of a sphere with a radius of 6 inches
Answer:
904.78 in I think but I'm not 100%
Answer:
V≈904.78
Step-by-step explanation:
V=4/3[tex]\pi[/tex][tex]r^{3}[/tex]
V=4/3[tex]\pi[/tex](6)^3
V≈904.78
I'm pretty sure this is correct.
Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
alquilar una limusina por 6 horas?
Answer:
$181.9
Step-by-step explanation:
Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.
English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.
6. Frank's Fish Washing Service charges a base fee to wash your fish plus a charge per
minute. The table shows the total cost, c, and the number minutes it took to wash
the fish, m. Which equation represents this situation?
o
y = 3x + 8
of Minutes, m
8
10
12
14
Total Cost (S),
30
36
42
48
y = -x + 8
3
O
y = 3x + 6
O
y =
1
-x+6
Answer:
C
Step-by-step explanation:
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the drivers are given.
- Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05 seconds.
- Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12 seconds.
- Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds.
Which driver do you predict will win the next drag race? Support your prediction using the mean and standard deviation.
Answer:
Driver B
Step-by-step explanation:
From the given options, Driver B will win the next race because the previous result shows that Driver B has the fastest race time due to the fact that it recorded the lowest mean race time.
Similarly, the standard deviation of 0.12 seconds illustrates that the driver keep-up with the bearest minimum time frame all through the entire race time.
Answer:
It is B and the other one is Driver C if you have that question
Step-by-step explanation:
Mrs. King takes out a personal loan for $10,000 at a yearly simple interest rate of 9.1%. How much total interest will she owe at the end of 6 years?
Answer:
$5,460
Step-by-step explanation:
Given that :
Loan taken = principal (p) = $10,000
Simple Interest rate (r) = 9.1% = 0.091
Interest owed at the end of 6 years = t
Simple interest = (principal * rate * time)
Interest owed = 10,000 * 0.091 * 6
Interest owed = 910 * 6
Interest owed = $5,460
CAN SOMEONE HELP ME
Unghiurile ∢AOB și ∢BOC sunt adiacente suplementare, iar OM, respectiv ON, sunt bisectoarele acestora. Fie BD ⊥ OM, D ∈ OM și BE ⊥ ON, E ∈ ON . Demonstrați că: a) patrulaterul BDOE este dreptunghi. b) OB ≡ DE .
Answer:
Following are the solution to this question:
Step-by-step explanation:
[tex]\angle AOB + \angle BOC = 180\\\\\angle MON = (\angle AOB + \angle BOC): 2 \\\\[/tex]
[tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]
In point a:
[tex]\angle AOB = 60\\\\ \angle BOC = 120\\\\ \angle MON = (60 + 120): 2 \\\\[/tex]
[tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]
In point b:
[tex]\angle BOC = 100\\\\\angle AOB = 80\\\\ \angle MON = (100 + 80): 2[/tex]
[tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]
Factor the algebraic equation
36a+20
Answer:
4(9a+5)
Step-by-step explanation:
Answer:
4(9a+5)
Step-by-step explanation:
Their common factor is 4 so divide both by 4 and put it in parentheses times 4
say they wanna read my mind.. they really wanna read my mind.. telling you rn all you’ll find is a lost soul rich and blind
They want to read my mind they really want to read my mind.
Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54 for 18 pieces of sandpaper at his local hardware store. Which purchase had the highest per item cost?
A.
paintbrushes
B.
light bulbs
C.
sandpaper
D.
drywall anchor screws
Answer: Light bulbs.
Step-by-step explanation:
Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.
Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.
Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.
Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.
Someone please help me
Answer:
a
Step-by-step explanation:
What is 8.89 × 1010 in standard notation?
Answer:
8978.9
Step-by-step explanation:
MULTIPLY THE THE GIVEN AND
8.89 × 1010 = 8978.9
THEN THE RESULT WOUD BE THE STANDARD NOTATION.
I have a test I'm doing and it makes no sense. Here are some of the questions, and thx for the other answer.
-12 = p - 7
-7b = -35
-5/8w = -9
9/25 = p/125
-3a +4 = -14
Karla needs 3.7 pounds of chicken. If each pound of chicken costs $4.50, how much will she need to spend altogether?
Answer: $16.65
Step-by-step explanation:3.7*$4.50=$16.65
Can anyone please help me with #30? :(
Answer:
See below.
Step-by-step explanation:
30.
E(1, 2), F(5, 6), G(3, -2)
a)
H, midpoint of segment EG
H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)
J, midpoint of segment FG
J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)
b)
Show that segment HJ is parallel to segment EF.
Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.
slope of segment HJ:
slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1
slope of segment EF:
slope EF = (6 - 2)/(5 - 1) = 4/4 = 1
slope HJ = slope EF = 1
Segments HJ and EF are parallel since their slopes are equal.
c)
Show HJ = (1/2)EF
We use the distance formula to find the lengths of segments HJ and EF.
length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)
length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
HJ = (1/2)EF
Substitute the lengths we found just above for HJ and EF:
2sqrt(2) = (1/2)[4sqrt(2)]
2sqrt(2) = 2sqrt(2)
The two sides are equal, so we have proved that HJ = (1/2)EF.
What transformation moves Frame 1 to Frame 2?
A) Translation
B) Rotation
C) Reflection
D) Dilation
The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain
Answer:5/14
Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered
1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN
The correct answer is C plane HJG
In a survey of 1,500 people who owned a certain type of car, 300 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
20%Step-by-step explanation:
Step one:
total number of people surveyed= 1500
we are told that 300 people would buy that car again,
this implies that they like the car and are satisfied with it
Step two:
the percent of people satisfied can be computed as
=300/1500*100
=3/15*100
=1/5*100
=0.2*100
=20%
The people surveyed were satisfied with the car are 20%
Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary
Answer:
[tex]P(A\ n\ B) = 0.557[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.78[/tex]
[tex]P(B) = 0.65[/tex]
[tex]P(A\ u\ B) = 0.873[/tex]
Required
Determine [tex]P(A\ n\ B)[/tex]
From laws of probability, we have:
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
Substitute in values
[tex]P(A\ n\ B) = 0.78 + 0.65 - 0.873[/tex]
[tex]P(A\ n\ B) = 0.557[/tex]
Hence, [tex]P(A\ n\ B)[/tex] is calculated to be 0.557
If you help not only will I give you brainliest but also you gain good deeds.
2/3 - 2/5
= 10/15 - 6/15
= 4/15
What is the area of this figure
4. A map has a scale of 1 inch = 100 miles. The distance between two cities is 7.25 inches. If a car travels
50 miles per hour, about how long will it take to get from one city to another?
hours
Answer:
14.5 hours/14 hours 30 minutes
Step-by-step explanation:
The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).Determine the seating capacity of an auditorium with 30 rows of seats if there are 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on
Answer:
The seating capacity of the auditorium is 2,340.
Step-by-step explanation:
This question relates to an Arithmetic Progression (AP).
An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.
Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:
Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)
Where;
n = number of rows = 30
a_1 = Number seats in the first row = 20
d = Common difference = 24 - 20 = 28 - 24 = 4
Substituting the values into equation (1), we have:
Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))
Seating capacity = 15 * (40 + (29 * 4))
Seating capacity = 15 * (40 + 116)
Seating capacity = 15 * 156
Seating capacity = 2,340
Therefore, the seating capacity of the auditorium is 2,340.
The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours
Note: Consider we need to find the constant of proportionality.
Given:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
It costs $27 to rent the kayak for 5 hours.
To find:
The constant of proportionality.
Solution:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.
[tex]27=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{27}{5}=k[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].
how do i do this ? what does the y = 1 have to do with the reflection
because you have to flip the thing
Find the height of the tree in the diagram shown.
Answer:
Assuming we have the same question, the answer would be: D) h = 45tan59° ft
Step-by-step explanation:
what is 8-2(2x +1) +5x PLS HELP ME
Answer:
6+x
Step-by-step explanation:
I used photo math have a great thanksgiving
PLEase Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mr. Ash owns a tree, which is 42 feet tall. He estimates that this tree is 75% as tall now as it will be when fully grown. How tall will the tree be when it is fully grown?
Answer: 56
Step-by-step explanation: Divide 42 by 3 and then multiply by 4