Answer:
4) Present area of the room:
A = S x S or S²
A = (5)²
A = 25 m²
Extension:
A = lw
A = 5 m • 4 m
A = 20 m²
5) The area after the room is enlarged:
A = 25 m + 20 m
A = 45 m²
Answer:
Present area:
5*5 = 25 sq. mThe enlarged area:
5*(5 + 4) = 5*9 = 45 sq. mWhat are the two roots of the quadratic equation? y=x squared-3x-4
Answer:
{x | x ∈ R, 4,-1}
Step-by-step explanation:
[tex]y=x^2-3x-4[/tex]
[tex]y=x^2+x-4x-4[/tex]
[tex]y=(x^2+x)+(-4x-4)[/tex]
[tex]y=x(x+1)+(-4)(x+1)[/tex] Distributive property
[tex]y=(x+(-4))(x+1)[/tex] Distributive Property
[tex]y=(x-4)(x+1)[/tex]
set y to 0
[tex]0=(x-4)(x+1)[/tex]
set the factors to 0
[tex]0=x-4; 0=x+1[/tex]
[tex]4=x; -1=x[/tex]
Find the GCF of the list of terms.
3x^2,6x^6 and -12x^3
Answer:
3x²
Step-by-step explanation:
3x²
They would all reduce to 1, 2x^4, and -4x
Find a equivalent expression of 16a - 24 .
Answer: 8(2a - 3)
Step-by-step explanation:
Answer:
8(2a - 3)
Step-by-step explanation:
(16a - 24) / 8 =
8(2a - 3)
Khan Academy Question pls answers only
Answer: 0
Step-by-step explanation:
When x = 6, y = 0 [since the graph passes through (6,0)].;
A data set that is normally distributed has a mean of 128 and standard deviation of 6.2. What is the Z-score,
rounded to the nearest hundredth, for a data value of 143
Answer:
2.42Step-by-step explanation:
Given:
μ = 128σ = 6.2x = 143Z-score is:
z = (x - μ)/σ = (143 - 128)/6.2 ≈ 2.42 (rounded to the nearest hundredth)What is the y intercept of the graph of the equation y=3(2)^x
Answer:
y-int. is (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged. Find a 95% confidence interval for the actual percentage of shoppers who were overcharged.
a. 5.7% to 18.3%
b. 8.85 to 15.15%
c. 7% to 17%
d. 9.5% to 14.5%
Answer:
8.04% to 15.96%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged.
This means that [tex]n = 259, \pi = 0.12[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.0804[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.1596[/tex]
So 8.04% to 15.96%
3. A table has a length of 3.4 meters and a width of 1.5 meters. Mang Jose painted the to portion approximately 3.75 m². What was the area left unpainted?
A. 5.1 m²
B. 3.75 m²
C. 5.2 m²
D. 1.35 m²
4. A trapezoidal piece of land having 998.50 m2 area is to be sharedby the two brothers Alex and Ben. Alex in his desire wants to have a square lot having 18.6 m² side. How big is Ben's share?
A. 652.54 m²
B. 345.96 m²
C. 862.5 m²
D. 900.1 m²
5. Find the area of a circular pool whose radius is 2 meters.
A. 12.56 m²
B. 15. 65 m²
C. 18.9 m²
D. 22,45 m²
Answer:
#3
What was the area left unpainted?
3.4*1.5 - 3.75 = 1.35 m²Option D
#4
How big is Ben's share?
998.50 - 18.6² = 652.54 m²Option A
#5
The area of a circular pool whose radius is 2 m:
A = π² = 3.14*2² = 12.56 m²Option A
А
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
B
A. 90
B. 180
C. 270
D. 360
Answer:
figure a must be rotated 180°
Reciprocal of following expression is *
3/5×(10+35/24)
Answer:
8/55
Step-by-step explanation:
The answer to that equation is 55/8, and the reciprocal is that improper fraction flipped.
16. WHAT is a parallelogram.
W
T
1070
y
36°
42°
H
А
X
y =
Step-by-step explanation:
hope this helps you out with the problem
22 -- Here is a solid made from a square-based pyramid and a cube.
Each edge of the solid has length 6 cm.
On the centimetre grid, draw the plan of this solid.
How do I draw the plan
Answer:
Step-by-step explanation:
The solid's plan, consisting of a pyramid with a square base and a cube whose edges are each 6 cm long, will be represented in the attached graph.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To draw the plan of a solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm, you can start by drawing the top view of the cube. Since the edges of the cube have a length of 6 cm, the top view of the cube will be a square with sides of 6 cm.
Next, you can draw the top view of the square-based pyramid.
A square-based pyramid is a pyramid with a square base, so the top view of the pyramid will be a square with sides of 6 cm, just like the top view of the cube. However, the top view of the pyramid will also have four triangular faces extending from the corners of the square, each with a height of 6 cm.
To complete the plan of the solid, you can simply place the top view of the pyramid on top of the top view of the cube, aligning the edges of the squares.
The resulting drawing will be the plan of the solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm.
Learn more about graph here:
brainly.com/question/16608196
#SPJ2
1) A new phone costs $285. If the tax 5%, what is the total cost of the phone? Round to the nearest cent
if necessary. Show all work.
Answer:
299.25
Step-by-step explanation:
285x.05=14.25 tax
285 + 14.25=299.25 total cost
What is the slope of a line that is perpendicular to the graph of the function below.
Y=1/4x-3
Answer:
The slope of a line that is perpendicular to y=1/4x-3 is -4/1x
Step-by-step explanation:
To get a perpendicular line you need to have a slope that is opposite of the other line and the opposite of 1/4 is -4/1x
helppp...........................math
learning task 2: pls help
Answer:
96=2(2x+x)24=3x[tex] \frac{2}{3} x = 72[/tex]x+(x+1)=294(x+8)=54Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price. a bunk bed with a cash price of $1,998, at $143 per month for 15 months
shue isvsye jrue si buabs ikwgeh oshe
I need help please!!!
Makayla has 2 yards of ribbon to use for a craft project she cuts the ribbon into pieces that are 1/4 yard long how many pieces of ribbon does Makayla have
Answer:
8
Step-by-step explanation:
2/ 1/4 = 8
Answer: 8
Step-by-step explanation: 2 / 1/4 = 8
The graph of which function has an amplitude of 3 and a right phase shift of ?
y = 3+ sin 2(x - 5)
y = 3sin 2(2
y = 3+ sin 2 (2+)
y = 3sin 2(x + 5)
Answer:
Option 4
Step-by-step explanation:
Equation representing the sine function is,
y = Asin[B(x- C)] + D
Here, A = Amplitude
B = [tex]\frac{2\pi }{\text{Period}}[/tex]
C = Phase shift
D = Vertical shift
If the amplitude of the the given function = 3 and right phase shift = [tex]\frac{\pi }{4}[/tex]
Therefore, equation of the sine function will be,
[tex]y=3\text{sin}B(x-\frac{\pi }{4})+D[/tex]
By comparing this equation with the given options,
Equation representing right phase shift = [tex]\frac{\pi }{4}[/tex] and amplitude = 3,
[tex]y=3\text{sin}2(x-\frac{\pi}{4})[/tex]
This equation represents right phase shift = [tex]\frac{\pi }{4}[/tex] and amplitude = 3.
Therefore, Option 4 is the correct option.
For what value of x does 4^x =(1/8)^x+5
9514 1404 393
Answer:
(b) -3
Step-by-step explanation:
It can work well to rewrite the equation as powers of 2.
[tex]4^x=\left(\dfrac{1}{8}\right)^{x+5}\\\\(2^2)^x=(2^{-3})^{x+5}\qquad\text{as powers of 2}\\\\2x=-3(x+5)\qquad\text{equate exponents}\\\\5x=-15\qquad\text{add $3x$}\\\\\boxed{x=-3}\qquad\text{divide by 5}[/tex]
__
Check
4^-3 = (1/8)^(-3+5) ⇒ 1/64 = (1/8)^2 . . . . true
16.) true or false The absolute value of a number and the opposite of a number
will always be different.
Answer
false
Step-by-step explanation:
the absolute value of -1 is 1, and the opposite of -1 is also 1, so it would be false since these are the same
Slove for the value of y
Answer:
2y+1+5y-3=180
7y-2+2=180+2
7y=182.
y=26 is the answer
Passes through
(-8, 3) and (8, -1).
Answer:
Slope = Y2 -Y1 / X2 - X1
Slope = -1 -3 / 8 --8
Slope = -4 / 16
Slope = -1 / 4
To calculate the equation we fill in this equation:
(y - y1) = slope • (x -x1)
We only need to choose 1 point so we'll choose (-8, 3)
(y - 3) = -1 / 4 * (x --8)
So the Equation equals
y = -1 / 4 x -2 + 3
y = -1 / 4x +1
Source:
http://www.1728.org/distance.htm
Step-by-step explanation:
Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6
Answer:
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{n^{18}}[/tex]
Required
Determine its equivalent
[tex]\frac{1}{n^{18}}[/tex]
Express 18 as 3 * 6
[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]
This can be rewritten as:
[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]
Apply the following law of indices:'
[tex]\frac{1}{a^b} = a^{-b}[/tex]
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Hence;
(d) is correct
Answer:D
Step-by-step explanation: cause im big brain
HELP ME!! PLEASE 10 POINTSSS
Answer:
The answer is 47°
Step-by-step explanation:
90°- 43°
Answer:
x = 47
Step-by-step explanation:
subtract 43 from 90
What is the surface area of the rectangular prism?
Answer:
250m² drawing a model or visualizing it would help
Please get it right
Answer:
Y intercept is where x=0. Plug it in the original function find the y intercept
Step-by-step explanation:
Graph?
EES
2.6 m
Find the area. Use = 3.14
a. 21.2264 m2
b. 16.328 m2
c. 84.9056 m2
d. 5.3066 m2
Please select the best answer from the choices provided
Ο Α
Answer:
5.3066m²
Step-by-step explanation:
A=πr²=π·1.3²=5.3066m²
Please help me with this faster if you know please?!!!
Answer:
22%
Step-by-step explanation:
************************************
Answer:
81%
Step-by-step explanation:
The total number of Large drinks: 27
The probability that a customer orders a Hot and Large drink if the customer ordered a Large is the ratio of the number of Hot and Large drinks to the number of Large drinks:
22/27 = 0.8148 = 81.48%