Answer:
(x - 2)(3x^2 + 5)
Step-by-step explanation:
All four terms here have 3 as a factor. Factor out 3:
3x^(3)-6x^(2)+15x-30 => 3(x^3 - 2x^2 + 5x - 10)
The last two terms can be rewritten as 5(x - 2). The first two terms can be rewritten as 3x^2(x - 2). So (x - 2) is a factor of 3(x^3 - 2x^2 + 5x - 10). We get:
3x^2(x - 2) + 5(x - 2) = (x - 2)(3x^2 + 5)
Order the fractions from least to greatest.
1
-1.25, 0.125,
1
4
Answer:
-1.25, -1/4, -1/8, 0.125
Step-by-step explanation:
Answer:-1.25, -1/4, -1/8, 0.125
Step-by-step explanation:
find the area of the following figure round to the nearest
Answer:
lets divide the figure into two parts.
triangle base=2ft+2ft+6ft
triangle base=10ft
area of triangle = 1/2×base×height
area of triangle = 1/2×10ft×12ft
area of triangle =60ft²
area of square=side²
area of square=(6ft)²
area of square=36ft²
A woman bought bars
of truck soap for #200. If
a bar is #2.50 more expensive.
She could have bought 2 less.
how many bars did she buy?
Answer:
80
Step-by-step explanation:
200/2.50=80
Norma builds a 1/8 scale Model of her own house.Her living room measures 12 feet by 28 feet. What are the dimensions of the models living room?
Answer:
1.5 feets by 3.5 feets
Step-by-step explanation:
Scale model = 1/8
Dimension of living room = 12 feets by 28 feets
The dimension of the model using the scale model given :
Scale model * dimension
1/8 * (12 feets by 28feets)
= 1.5 feets by 3.5 feets
The perimeter of a piece of paper is 38 inches. Its length is 11 inches.
Find the area of the piece of paper.
Answer:
Buddy this might not be the correct answer but I got either 98 or 418 inches. Don't quote me on it though.
Step-by-step explanation:
You have an order for an 8-gallon aquarium that is 20 in long and 10.5 in wide. How deep should the aquarium be?
Answer:
8.8
Step-by-step explanation:
The perimeter of a triangle is 44 inches. The length of one side is twice the length of the shortest side, and the length of the other side is eight inches longer than the length of the shortest side.
Choose a variable and tell what that variable represents.
Answer:
side a = Smallest = 9 inches
side b = 18 inches
side c = 17 inches
Step-by-step explanation:
The formula for the perimeter of a triangle = side a + side b + side c
side a = Smallest
The perimeter of a triangle is 44 inches.
The length of one side is twice the length of the shortest side
Hence:
b = 2a
The length of the other side is eight inches longer than the length of the shortest side.
Hence,
c = 8 + a
Hence, we substitute into the Intial formula
a + 2a + 8 + a = 44 inches
4a + 8 = 44
4a = 44 - 8
4a = 36
a = 36/4
a = 9 inches
Solving for b
b = 2a
b = 2 × 9 inches = 18 inches
Solving for c
c = a + 8
c = 9 inches + 8 = 17 inches
-12 x (1/3)? what is this equal to!
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
-12 times 1/3.
It's pretty much just -12x1, then divided by 3.
-12x1 is equal to -12.
Your equation is now simplified, making it easier to solve.
Your equation is: [tex]\frac{-12}{3}[/tex]
-12 divided by 3 is -4, because when a negative number is divided (or multiplied) by a positive number, the quotient (or product) is negative.
-12 x (1/3) = -12/3 = -4.
guys what is m=4 i really need help
Answer:
m equals four means that you need to multiply the 4 by what is infront of the m aka the 4
Which of the following inequalities has the graphed solution below?
zzGroup of answer choices
x − 1 ≥ 0
x − 1 ≤ 0
x + 1 ≥ 0
x + 1 ≤ 0
Can pls someone help with my homework pls I need help
Answer:
[tex] \sin(m < q) = \frac{7}{9} \\ \sin(m < q) =(0.77777777778) \\ m < q = { \sin 0.77777777778}^{ - 1} \\ m < q = (51.05755873102)[/tex]
The lenght of an arc in a circle with radius 8 inches is 3.2π. determine the measure of the arc
Answer:
72
Step-by-step explanation:
32pi×360/2pi(8)=72
central angle= arc length 360/2pi×r
The measure of the arc is 72 degree
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
The measure of the arc, we use the formula:
⇒ Arc length = (angle measure / 360°) x 2πr
where r is the radius of the circle.
Now, We know that;
The radius is 8 inches, and that the arc length is 3.2π inches.
So, we can plug in those values and solve for the angle measure:
3.2π = (angle measure / 360°) x 2π(8)
3.2π = (angle measure / 360°) x 16π
Divide both sides by 16π:
0.2 = angle measure / 360°
Multiply both sides by 360°:
Angle measure = 72°
Thus, The measure of the arc is 72 degree
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ2
I really need help please and thank you
Answer:
x = 8
Step-by-step explanation:
You can set up the equation 6/4 = 12/x and then cross multiply to solve for x
I need help!!!
Find∠KML
Answer:
62
Step-by-step explanation:
180 - 56 = 124
124/2 = 62
Pamela rides her bike to the park. If she rides at a speed of 12 miles per hour, it
takes her 45 minutes to get to the park. How long will it take her to get to the
park if she rides at a speed of 8 miles per hour? *
Answer:
well to tell you its easy 4 me
Please helppp I need this for a better grade
Answer:
Step-by-step explanation:
Cos(x)=18/44=0.41
x=65.85
5x-2y=15
2x+6y=-11
solve by substitution or equal values method
Answer:
Point form -
[tex](2-\frac{5}{2})[/tex]
Equation form -
[tex]x=2, y=-\frac{5}{2}[/tex]
Step-by-step explanation:
if you have any questions feel free to ask
The diameter of a circle is 63 centimetres find its circumference use pie = 3.14
Answer:
197.9
Step-by-step explanation:
The formula for circumference is 2(pi)r and r is the radius
The diameter is two times the size of the radius, so by dividing the diameter by two, you can get the radius
So, r=63/2
r= 31.5
That means that 2(pi)(31.5) is the circumference
2(pi)(31.5) = 197.9 (rounded to the nearest tenth)
Can someone help me find and answer an equation to the following math question : Natalie earns 5% commission on all electronics she sells.On Monday she sold a television for $1130 and a DR that cost $325. What was the total she earned in commission?
Answer:
She will make a total commission of $1130+$325=$1445
Then 5% of $1445= $1445×5%=$72,75
Ben needs to replace two sides of his fence. One side is meters long, and the other is meters long. How much fence does Ben need to buy?
Answer:
696 39/100 meters
Step-by-step explanation:
Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?
Side A = 367 9/100 meters
Side B = 329 3/10 meters
How much fence does Ben need to buy?
Total fence Ben needs to buy = Side A + side B
= 367 9/100 + 329 3/10
= 36709/100 + 3293/10
= (36709+32930) / 100
= 69639/100
= 696 39/100 meters
Ben needs to buy 696 39/100 meters
John bought a $2,910 car on the installment plan.The installment agreement included a 15% down payment and 18 monthly installment payments of $161.56 each. A) How much is the down payment.B) What is the total amount of the monthly payments. C) what is the total cost he paid for the car. D) What is the finance charge.
9514 1404 393
Answer:
down: $436.50
payment total: $2,908.08
total paid: $3,344.58
finance charge: $434.58
Step-by-step explanation:
A) The down payment is 15% of the cost, so is ...
0.15 × $2910 = $436.50
__
B) The total of the 18 monthly payments of $161.56 each is ...
18 × $161.56 = $2908.08
__
C) The total amount paid for the car is the sum of the down payment and the monthly payments:
$436.50 +2,908.08 = $3,344.58
__
D) The finance charge is the difference between the amount paid and the original cost of the car:
$3,344.58 -2,910 = $434.58
There’s 10 in total I need help with
Answer:
8√2
Step-by-step explanation:
this one is a right triangle so both side are equal since the angle is 45 degrees
What’s the opposite of -5/8
(-4,9);m=-1/2
Write the equation in point slope form
Answer: y-9=-1/2 x (x+4)
Step-by-step explanation:
Victoria earns a gross annual income of $124,482 and is buying a home for $225,500. She is making a 20% down payment and financing the rest with a 30-year loan at 4.5% interest.
(a) What is the mortgage amount she will borrow?
(b) Can she afford this mortgage?
(c) What will her monthly mortgage payment be?
(d) What will her total payment for the house be?
(e) What is the amount of interest she will pay?
Answer:
(a) The mortgage amount she will borrow is $180,400
(b) Yes she can
(c) Her monthly payment will be approximately $914.06
(d) Her total repayment is approximately $329,061.6
(e) The amount of interest is approximately $148,661.6
Step-by-step explanation:
The details of the transactions are;
The gross annual income Victoria earns = $124,482
The cost price of the home she is buying, C = $225,500
The amount she is making as down payment = 20%
The duration the loan she id financing the rest with, t = 30-years
The interest rate on the loan, r = 4.5%
(a) The mortgage amount she will borrow, 'P', is the cost of the home less the down payment
The down payment = 20% of the cost of the home
∴ The down payment = (20/100) × $225,500 = $45,100
∴ P = $225,500 - $45,100 = $180,400
The mortgage amount she will borrow, P = $180,400
(b) Using the 2× to 2.5× gross income rule, we have;
2 × her annual income = 2 × 124,482 = 248,964
∴ 2 × her annual income > The mortgage = 180,400
She can afford the mortgage
(c) The monthly fixed payment for the mortgage is given as follows;
[tex]M = P \times \dfrac{r}{n} \times \dfrac{\left(1+ \dfrac{r}{n} \right)^{n \cdot t}}{\left[\left(1 + \dfrac{r}{n} \right)^{n\cdot t} - 1\right]}[/tex]
Where;
n = The number of periods per year = 12 monthly periods per year
180,400*0.045*(1 + 0.045)^(30)/((1 + 0.045)^(30) - 1)
[tex]M = 180,400 \times \dfrac{0.045 }{12} \times \dfrac{\left(1+\dfrac{0.045 }{12}\right)^{30 \times 12}}{\left[\left(1 + \dfrac{0.045 }{12}\right)^{30 \times 12} - 1\right]} \approx 914.060298926[/tex]
Her monthly payment will be M ≈ $914.06
(d) The total repayment is given as follows;
n × t × M
∴ 12 × 30 × 914.06 = 329061.6
The total payment for the house = $329,061.6
(e) The amount of interest = The total payment - The principal loan amount
∴ The amount of interest = $329061.6 - $180,400 = $148,661.6
Can someone answer all of them? Tysm!
In a river bank
you can put the answers from the end
1.) 1/12
2.) 2/13
3.) 8/41
4.) 1/4
5.) 11/74
6.) 2/35
7.) 15/58
8.) 5/18
9.) 1/7
10.) 1/13
state four reasons why choice should be made in satisfaction human wants
Bart designed a logo using circles of different sizes. The diameters of three of the circles are
shown. Which measurement is closest to the area of the largest circle in square centimeters?
A 20.7 cm2
B 136.8 cm2
C 34.2 cm2
D 65.1 cm
Answer:
B 136.8 cm²
Step-by-step explanation:
Add the diameters of the three smaller circles to find the diameter of the largest circle.
D = 3 cm + 2.5 cm + 1.1 cm = 6.6 cm
area = πr²
area = 3.14 × (6.6 cm)²
area = 136.8 cm²
(a-1)+(b+3)i = 5+8i
please answer me quickly i need it please
Answer:
a = 6, b = 5
Step-by-step explanation:
Assuming you require to find the values of a and b
Given
(a - 1) + (b + 3)i = 5 + 8i
Equate the real and imaginary parts on both sides , that is
a - 1 = 5 ( add 1 to both sides )
a = 6
and
b + 3 = 8 ( subtract 3 from both sides )
b = 5
how do you put this writing expression into a equation;
A number added to 13 all divided by 2
Answer:
Step-by-step explanation:
Let x be the number.
(x + 13)/2