Factor the polynomial completely.
x^4 – 256
Answer:
(x²+16)(X+4)(x-4)
Step-by-step explanation:
x⁴ can be written as (x²)²
256 can be written as (16)²
by identity. a²-b²= (a+b)(a-b) :
(x²+16)(x²-16)
x²-16 can be written as (x)²- 4²
by identity. a²-b²= (a+b)(a-b) :
(X+4)(x-4)
Therefore, the factors altogether would be
(x²+16)(x+4)(x-4)
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
What is the area of the top of the can
if the radius is 8 cm?
Answer:
64π
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
HELPPP DUE IN FEW MINS ILL GIVE BRAINLESS
Answer:
C. Find the sum of all the values and then divide by the number of values
Step-by-step explanation:
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
A blueprint for a house has a scale factor n = 45. A wall in the blueprint is 5 in. What is the length of the actual wall
Answer:
The length of the actual wall is 405 inches or 33.75 feet
5. Os 384 participantes de uma campanha beneficente foram igualmente distribut
dos em 16 locais de arrecadação do município. Quantos participantes ficaram em
cada local de arrecadação?
Answer:
24
Step-by-step explanation:
384÷16= 24
Distribute – 2x (-1 + 3x).
Answer:
4x
Step-by-step explanation:
2x(-1+3)
distributive property: -2x+6x
-2x+6x=4x
I need help with this I roll mark you if right
Answer:
That would be A my good Sir (or ma'am).
Step-by-step explanation:
A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).
Thats It Helps It Helps!
Aaliyah has $50 in a savings account. The interest rate is 5% per year and is not compounded. How much will she have in 1 year?
Answer:
25 million on some jewlery that you put on you head
Step-by-step explanation:
Answer:
$52.5
Step-by-step explanation:
given
P=$50 R=0.05 T=1
I=PRT
I=50×0.05×1
I=$2.5
50+2.5=$52.5
Ealuate the following example
52 + 4(6 + 4 + 2)
The value of the expresson
Answer:
I think the answer is 100
Answer:
[tex]100[/tex]
Step-by-step explanation:
1. Simplify 6 + 4 to 10.
[tex]52 + 4 \times (10 + 2)[/tex]
2. Simplify 10 + 2 to 12.
[tex]52 + 4 \times 12[/tex]
3. Simplify 4 × 12 to 48.
[tex]48 + 52[/tex]
5. Simplify.
[tex]100[/tex]
therefor, the answer is 100.
The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers?
Answer:
Step-by-step explanation:
x, 30 - x add to 30. The other condition says
x (30 - x) = 176. Multiply it out.
30x - x^2 = 176, so
x^2 - 30x = -176, complete square by adding 15^2 to both sides
(x - 15)^2 = 225 - 176 = 49, take square root
x - 15 = 7, so one number is:
x = 22 and the other is 30 - x = 8.
What is the distance between (4, 6) and (5, 0)
Answer:
6 units
Step-by-step explanation:
Given data
x1=4
y1=6
x2=5
y2=0
substitute in the formula for the distance between two points
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((5-4)²+(0-6)²)
d=√((1)²+(6)²)
d=√36)
d=6
Hence the distance is 6 units
Can someone help me with this pls, it's due very soon!!
please help :( i’ve posted like 10 times and need answerers fast but no one can help. will give thanks and mark brainlist
9514 1404 393
Answer:
BC ≈ 9.6 mi
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.
Tan = Opposite/Adjacent
tan(58°) = BC/(6 mi)
BC = (6 mi)tan(58°)
BC ≈ 9.6 mi
Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help
Answer/Step-by-step explanation:
AC = 1.2
AB = 4
BC = 2.6
DF = 3
DE = 10
EF = 6.5
Thus:
[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]
[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]
[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]
The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.
What is this surface area?!!??
Answer:
132 in^2Step-by-step explanation:
4×3×1/2×2+10×4×3=132
Madison says her pet cat weighs about 8 ounces. Her brother Phillip says the cat weighs about 8 pounds. Whose estimate is more accurate? Use benchmarks to explain your answer.
Answer:
8 Pounds
Step-by-step explanation:
A cat that weighs 8 oz would be half of a pound, and that seems highly inaccurate. Most cats on average in the U.S. weigh 8 pounds, therefore that is your answer.
21=8+x (solve for x)
Answer:
X=13
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
21=8+x
Swap sides so that all variable terms are on the left hand side.
8+x=21
Subtract 8 from both sides.
x=21−8
Subtract 8 from 21 to get 13.
x=13
What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?
Answer:
y= 3x - 5
Step-by-step explanation:
y= mx+b is slope-intercept form,
m= slope (3)
b= y-intercept (5)
Therefore, y = 3x - 5 is your form.
If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.
A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determine the effectiveness of the new test, it was administered to 270 workers. A total of 42 individuals who had been diagnosed with the disease tested positive for it. Results showed a negative test for an additional 25 people with the disease. A total of 51 people without the disease tested positive. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test
Answer:
- Sensitivity = 62.7 %
- specificity = 74.9 %
- positive predictive value = 45.2 %
- negative predictive value = 85.9 %
- Accuracy of the test = 71.9 %
Step-by-step explanation:
Given the data in th question;
CONDITION POSITIVE CONDITION NEGATIVE TOTAL
TEST POSITIVE 42 51 93
TEST NEGATIVE 25 152 177
TOTAL 67 203 270
so; A=42, B=51, C=25 and D=152
Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=
Sensitivity = 62.7 %
specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=
specificity = 74.9 %
positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100
positive predictive value = 45.2 %
negative predictive value = [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100
negative predictive value = 85.9 %
Accuracy of the test = [A + D / ( A+B+C+D)] = [42 + 152 / ( 42+51+25+152)]
= [ 194 / 270 ]
Accuracy of the test = 71.9 %
From midnight to 6:00 am, the temperature rose 1.55c each hour. If the temperature at 6:00 am was 4.3c, what was the temperature at midnight?
Another teacher decides to average the height of all 15-year-old male students in his classes throughout the day. By the end of the day, he measured the height of 57 boys and calculated an average of 68.1 inches. The known mean height for 15-year-old boys is 67 inches, with a standard deviation of 3.19 inches. What is the percentile rank for this sample? (enter a number only, rounded to the nearest 2 decimal places)
Answer: 0.47
Step-by-step explanation:
0.47% = 0.0047 in decimal form. Percent means 'per 57'. So, 67Inches means 0.47 per 100 or simply 0.47/100. If you divide 0.47 by 100, you'll get 0.0047 (a decimal number).
2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?
Answer:
$93.
Step-by-step explanation:
Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:
75 + (75 x 0.2) + (75 x 0.04) = X
75 + 15 + 3 = X
93 = X
Therefore, the total cost he payed for his meal was $ 93.
Answer:
ok
Step-by-step explanation:
ok
Find the circumference of 17 km
Answer:
23
Step-by-step explanation:
Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)
Please find the slope of (-2, 4) and (3, -5)
Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
(-2, 4)(3, -5)Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5
Answer:
m = -9/5
Step-by-step explanation:
Taking (-2,4) as (x1,y1), and
Taking (3,-5) as (x2,y2)
Using the slope (m) formula:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
= (-5-4)/(3-(-2))
= -9/(3+2)
= -9/5
Hence, the slope is -9/5
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
65 POINTS!!! ANSWER ASAP PLEASE!
Computer keyboards have many different types of keys. A key may have a number, letter, or symbol (like a question mark) on it. On the keyboard shown, what percent of the keys do NOT have numbers on them?
A.
40%
B.
25%
C.
75%
D.
10%
Answer:
abt 75%
Step-by-step explanation:
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]Question 5
Calculate the perimeter of the sector
4cm
285
The arc length of the sector will be 19.89 centimeters.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The radius of the sector is 4 cm. And the central angle is 285°.
Then the perimeter of the sector is given as,
Arc = (285° / 360°) x 2 x 3.14 x 4
Arc = 19.89 cm
The arc length of the sector will be 19.89 centimeters.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
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