Answer:
rational number
Step-by-step explanation:
multiplying two rationals is the same as
multiplying two such fractions, which will
result in another fraction of this same form
since integers are closed under
multiplication. Thus, multiplying two rational numbers produces another rational number.
"The product of two rational number is rational" So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.Sep 5, 2020
The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the rectangle
⇛L = W + 5
⇛L × W = 150 sq. units
⇛W (W + 5) = 150
⇛W² + 5W = 150
⇛W² + 5W - 150 = 0
⇛[(W - 10) (W + 15)] = 0
⇛W = -10 , 15 (reject negative width)
☞ Width of rectangle is 10 units
☞ Length of rectangle is 15 units
i don’t quite get the concept yet and i really don’t wanna bother the teacher again :/ please help
Answer:
they are asking which claims are true vs false
Step-by-step explanation:
I totally get not wanting to bother our teachers again,... (that is why we're here)
m (AB = 20
m<ABD = 140
m (AD = 60
I think they want to know which ones (based on the "graph") are true,...
A shipping container in the shape of a rectangular prism is 60 feet long, 45 feet wide, and 14 feet tall. What is the volume of the shipping container? *
g is a trigonometric function of the form g(x)=acos(bx+c)+d
Below is the graph of g(x). The function has a maximum point at (3.5,-4) and a minimum point at (-1,-5)
Find a formula for g(x). Give an exact expression.
9514 1404 393
Answer:
a = 0.5b = π/4.5c = 7π/9d = -4.5Step-by-step explanation:
The value of d is the average of the maximum and the minimum.
d = (-4 +-5)/2 = -9/2 = -4.5
The value of 'a' is the difference between the maximum and d.
a = -4 -(-4.5) = 0.5
The value of b is 2π divided by the period. Here, the half-period is 3.5 -(-1) = 4.5, so ...
b = 2π/9 = π/4.5
The value of c is the value that makes the cosine argument zero at x=3.5.
(π/4.5)(3.5) +c = 0
c = -7π/9
look at the image to see the question
9514 1404 393
Answer:
1385.4 yd³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h . . . . radius r and height h
For the given radius and height, the volume is ...
V = π(7 yd)²(9 yd) = 441π yd³ ≈ 1385.4 yd³
How do I solve |10-5| ?
Answer:
5
Step-by-step explanation:
Subtract
5
from
10
.
|
5
|
The absolute value is the distance between a number and zero. The distance between
0
and
5
is
5
.
5
There are nickles and quarters worth $2.20 in total. If there are 28 coins, how many nickels are there?
How many solutions exist for the given equation?
121 x+ 1 =3(4x+1)-2
zero
one
two
infinitely many
Answer: infinitely many
A dodgeball team at Lincoln Elementary School needs a team of 4 in order to compete against other schools. If there are 9 kids that want to be part of the team, how many different ways can you pick a team of 4
Answer:
3 ways
Step-by-step explanation:
PLEASE HELP!!!
write an equation in slope-intercept form for the line with y-intercept 1 and slope 4.
Answer:
y = 4x+1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x+1
Answer:
y = 4x + 1.
Step-by-step explanation:
The general slope-intercept form is
y = mx + c where m = the slope and c is the y-intercept.
The lengths of the sides of a triangle arc 3, 4, and 5. If Theta is the measure of the smallest angle of the triangle, what is the
value of tah theta?
(A)4/3
(B)5/4
(C)3/4
(D)3/5
Answer:
C
Step-by-step explanation:
Since they are pythagorian triplets, ABC is a right angled triangle at the angle between the arc 3 and arc 4. Theta is the angle opposite to 3 and hence tan(theta)=3/4
Joe is on the phone with a gardener who asked about the square feet of Joe’s back yard Joe counts 20 steps long and 40 steps wide with each step been about 3 feet about how many square feet is the back Yard
Answer:
The area of the yard is 7200 square feet.
Step-by-step explanation:
You just multiply your step count by 3. So 20 would be 60 and 40 would be 120. Multiply your results and you get 7200 square feet.
find the slope of the joining pairs of points (1/a, 1/b) (b,a)
Answer: m = 1/b
Step-by-step explanation: Unfortunately, I can't give you a picture of the slope, but take that formula I gave you and enter it into a graphing calculator and it will show you the slope. I recommend desmos online calculator, good luck
What is the slope of the line that
contains the points (13,-2) and (3.-2)
Points are
(13,-2)(3,-2)[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{3-13}{-2+2}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-10}{0}[/tex]
[tex]\\ \sf\longmapsto m=0[/tex]
help pls!!! Classify the following question: “President, vice president, and secretary are being chosen for the Environmental Club. In how many different ways can these three offices be filled from a list of ten members?”
the answer is: combation
Fill in the blanks
To factor the polynomial 3x2–5x - 12, find two numbers whose product is
and
whose sum is
Answer:
Step-by-step explanation:
Ooooooofkfnvkanggkmfifkfkfkdkcknavnhkgnvkic
What is the value of X
A 15
B 21
C 26
D 105
Answer:
B)21
Step-by-step explanation:
∠KN=∠ML
∠KN=90°+15°
=105°
∠ML=105°
5x°=105°
x°=105÷5
x°=21°
Answer:
[tex]5x=90+15[/tex]
Add, 90 + 15 = 105
[tex]5x=105[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{105}{5}[/tex]
[tex]x=21[/tex]°
[tex]\textbf{OAmalOHopeO}[/tex]
You work as a residential painter. A customer wants two tables and eight chairs painted using one coat of the same color paint. Each table requires 158
5
8
quarts of paint, and each chair requires 23
2
3
quarts of paint. How many total quarts of paint should you bring to paint this furniture?
Each table requires = 158 quarts paint
Each chair = 23 quarts of paint
Total no. Of coats = 1
Total chairs = 8
Total table = 2
Total paint required = (158×2)+(23×8)
= 500 quarts of paint
Must click thanks and mark brainliest
Solve for x step by step:
2(4x-3)-8=4+2x
Answer:
3
Step-by-step explanation:
2(4x-3)-8=4+2x
8x - 6 - 8 = 4 + 2x
8x - 2x = 4 + 6 + 8
6x = 18
x = 18/6
x = 3
Answer:
[tex]2(4x - 3) - 8 = 4 + 2x \\ 2 \times 4x + 2 \times - 3 - 8 = 4 + 2x \\ according \: to \: bodmas \: first \: \times then + or - \\ so \\ 8x - 6 - 8 = 4 + 2x \\ 8x - 14 = 4 + 2x \\ 8x - 2x = 4 + 14 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3 \\ thank \: you[/tex]
150 is 40% of what number
Step-by-step explanation:
hope it helps youu.........
Simplify expression 1 1/2
Answer:
3/2 or 1.5
Step-by-step explanation:
Hey there!
[tex]\huge\boxed{\mathsf{1\dfrac{1}{2}}}}\\\huge\boxed{\mathsf{\rightarrow \dfrac{1\times1+2}{2}}}\\\\\\\huge\boxed{{1\times1+2}}\\\huge\boxed{= 1+2}\\\huge\boxed{=3}\\\\\\\huge\boxed{\rightarrow \mathsf{\dfrac{3}{2}}}\\\\\\\huge\boxed{\textsf{Answer: }\bf \dfrac{3}{2}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
What is the present value of $25,000 to be received in 15 years at an (a) 6.2% interest rate and, (b) 9.6% interest rate? Explain why the present value is lower when the interest rate is higher.
Answer:
With a higher interest rate, you get more money per period, that acuminates.
The Present value is the starting amount... If the final amount is the same in both scenarios, and you get more interest in the second situation, you can start with a lower amount
Step-by-step explanation:
[tex]PV = CF / (1 + r) t[/tex]
pv1 = 25000/(1.062)^15 = $10,140.80
pv2 = 25000/(1.096)^15 = $6,320.94
Fatima purchased a new mattress when it was on sale. The sale price was 27% less than the regular price. If the sale price was $409, what was the original price? (Round your answer to the nearest dollar).
Answer:
560
Step-by-step explanation:
Let x be the original price
27% off
original price minus discount = new price
x - .27x = new price
.73x = new price
.73x = 409
Divide each side by .73
.73x/.73 = 409/.73
x=560.2739726
To the nearest dollar
x = 560
I had 180 mL of water in a measuring cylinder.
I added a stone. The reading is now 195 mL.
What is the volume
of the stone?
Answer:
15×10^-6 cubic meter
Step-by-step explanation:
The volume of the stone is, 195-180 = 15 mL
which is, 15×10^-6 m³
Answer:
=15
Step-by-step explanation:
195ml - 180ml
= 15
the first measuring minus with the second measuring will get the volume for the stone
Joes bait shop brought in a gross profit in sales of $4,100.00 in the month of June. During the same month their operating expenses totaled $1990.00. Calculate the net income of the bait shop for the month of June
Answer:
2110
Step-by-step explanation:
4100-1990=2110
1. Find the HCF of the following numbers by prime factorisation and continued division method10,35,40
Answer:
Step-by-step explanation:
10 = 2*5
35 = 5*7
40 = 2*2*2*5
The number 5 is common to all three factorisations
So the HCF = 5.
Continued division:
10 and 35:
10) 35(3
30
5)10(2
10
0
- so the HCF of 10 and 35 is 5.
10 and 40:
10)40( 4
40
0
So the HCF of 10 and 40 is 10
We found HCF of 10 and 35 is 5 so:
HCF of 10, 35 and 40 is HCF of 5 and 10 which is 5.
Arrange the following rational numbers in descending order. 5/8 ,-11/15 , 17/(-24) ,7/12
if there are 5 routes to travel between A and B, how many options are there for a person to travel form A to B and retrun back?
Answer:
25
Step-by-step explanation:
the volume of the donut created when the circle {x}^{2}+{y}^{2}=4 is rotated around the line x=4.
Answer:
32π²
Step-by-step explanation:
To solve this, we can use the washer method.
We can start by dividing the donut into horizontal sections. Each horizontal section is a hollow cylinder, with the inner cylinder's radius being the difference between x=4 and x²+y²=4, which can also be written as x = √(4-y²) (we do not need the negative x values as the inner cylinder does not encompass any part of the circle). This is (4-√(4-y²)) .
Similarly, the outer radius will be equal to the difference between 4 and the other side of the circle. This encompasses the circle and the extra area in between, so x will be negative here, making it (4-(-√(4-y²)) = 4+√(4-y²).
The area of the cylinder for a given Δy can be represented by
(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy. This space represents a cylinder in the donut created with the height being Δy. Simplifying the equation, we get
(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy = πΔy((4+√(4-y²))²- (4-√(4-y²))²)
(4+√(4-y²))²- (4-√(4-y²))² = 16+8√(4-y²) + 4-y² - (16-8√(4-y²)+4-y²)
= 16√(4-y²)
(4+√(4-y²))²πΔy - (4-√(4-y²))²πΔy = 16√(4-y²)πΔy
The donut ranges from all y values from -2 to 2, and to add all the areas of the cylinders up between these y values, we can make this an integral,
[tex]\int\limits^2_{-2} {16\pi \sqrt{4-y^2} \, dy\\[/tex]
perform u substitution, make y = 2sin(u). If y=2sin(u), then y/2 = sin(u) and arcsin(y/2) = u
[tex]\int\limits^2_{-2} {16\pi* 2cos(u) \sqrt{4-4sin^2(u)} \, du\\[/tex]
take the 32π out of the integral
[tex]32\pi\int\limits^2_{-2} {cos(u) \sqrt{4-4sin^2(u)} \, du\\\\= 32\pi\int\limits^2_{-2} {cos(u) *2cos(u)} \, du\\\\\\= 32\pi\int\limits^2_{-2} {2cos&^2(u)} \, du\\\\\\\\\\[/tex]
take the 2 out of the integral
[tex]64\pi\int\limits^2_{-2} {cos&^2(u)} \, du\\[/tex]
One reduction formula we can use here is that
[tex]\int\limits {cos^nx} \, dx = \frac{1}{n} cos^{n-1}(x) sin(x) +\frac{n-1}{n} \int\limits {cos^{n-2} (x)} \, dx[/tex]
Applying that here, we get
[tex]\int\limits {cos^2u} \, du = 0.5cos(u)sin(u) + 0.5 \int\limits {1} \, du\\= 0.5cos(arcsin(y/2))sin(arcsin(y/2)) + 0.5(arcsin(y/2))[/tex]
take that cos(arcsin(x)) = √(1-x²) and sin(arcsin(x)) = x and we get
[tex]\int\limits {cos^2u} \, du = 0.5\sqrt{1-y^2/4}*(y/2) + 0.5arcsin(y/2)\\= 0.25y\sqrt{1-y^2/4} + 0.5arcsin(y/2)\\[/tex]
multiply this back with the 64π to get
[tex]16\pi y\sqrt{1-y^2/4} + 32\pi arcsin(y/2)[/tex]
as our integral. Applying this to the bounds of [-2, 2], we get
16π(2)√(1-4/4) + 32πarcsin(1) - (16π(-2)√(1-4/4) + 32πarcsin(-1))
= 0 + 32π(π/2) - 32π(-π/2)
= 16π²+16π²
= 32π²
as our answer
Help please……..??.?.?.?.?.?
9514 1404 393
Answer:
c) 16,500 m³
d) 277,088 mm³
a) V = LWH
b) V = πr²h
Step-by-step explanation:
The relevant volume formulas are ...
rectangular pyramid: V = 1/3LWHcylinder: V = πr²hrectangular prism: V = LWH__
13c. The pyramid formula above tells us the volume is ...
V = 1/3(60 m)(15 m)(55 m) = 16,500 m³
__
13d. The cylinder formula above tells us the volume is ...
V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL
__
14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...
V = LWH . . . . . where L, W, H represent the length, width, and height
__
14b. The volume of a cylinder is given by the formula ...
V = πr²h . . . . . where r, h represent the radius and height (length)
