What is the result of the division?
4,060 ÷ 20 = ?
200 R3
203
230
233 R3
Answer:
it's answer is 203 ......
sometimes true, always true, or never true?
===========================================
Explanation:
I'll use x in place of n
Let y = x^2 - 4x + 5
If we complete the square, then,
y = x^2 - 4x + 5
y = (x^2 - 4x) + 5
y = (x^2 - 4x + 4 - 4) + 5
y = (x^2 - 4x + 4) - 4 + 5
y = (x-2)^2 + 1
The quantity (x-2)^2 is never negative as squaring any real number value is never a negative result. Adding on 1 makes the result positive. So y > 0 regardless of whatever x is. Replace x with n, and this shows how n^2 - 4n + 5 is always positive for any integer n.
------------
You could also use the quadratic formula to find that x^2 - 4x + 5 = 0 has no real solutions, so there are no x intercepts. Either the graph is entirely above the x axis or it is entirely below the x axis.
Plug in any x value you want, say x = 0, and the result is positive. Meaning that whatever x value you plug in will be positive (as the graph can't cross the x axis to go into negative territory)
Given the equation −2x − 13 = 8x + 7, which order of operations completely solves for x? (1 point) Add 2x, then subtract 8x, lastly subtract 7 Add 2x, then add 13, lastly divide by 10 Subtract 8x, then add 13, lastly divide by −10 Subtract 8x, then add 2, lastly add 13
Step-by-step explanation:
We have given an equation −2x − 13 = 8x + 7
We need to find the operations that is used to find the value of x. It can be done by the following ways.
Subtract 8x on both the sides of the equation
−2x − 13 -8x= 8x + 7 -8x
-10x-13 = 7
Add 13 on both the sides of the equation,
-10x-13+13 = 7+13
-10x=21
Divide by -10 on both sides
[tex]x=\dfrac{-20}{10}\\\\x=-2[/tex]
Hence, the correct option is "Subtract 8x, then add 13, lastly divide by −10"
Solve for t in terms of q, r, and s.
r = sqt
t=
Answer:
t=r/(sq)
Step-by-step explanation:
r=sqt
=> r/(sq)=t
Answer:
T= r/(sq)
Step-by-step explanation:
r= sqt
=r/(sq) =t
A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women?
Answer:
Total probability = 0.002 or 1 / 495
Step-by-step explanation:
Given:
Number of men = 8
Number of women = 4
Total number of person = 12
Find:
All four members will be women
Computation:
1st women probability = (4/12)
2nd women probability = (3/11)
3rd women probability = (2/10)
4th women probability = (1/9)
Total probability = (4/12)×(3/11)×(2/10)×(1/9)
Total probability = 24 / 11,880
Total probability = 0.002 or 1 / 495
The probability that all four members of the search committee will be women is 1.42%.
Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:
4/8 x 3/7 x 2/6 x 1/5 = X 0.5 x 0.42857 x 0.333 x 0.20 = X 0.01428 = X 100X = 1.42
Therefore, the probability that all four members of the search committee will be women is 1.42%.
Learn more in https://brainly.com/question/15943145
PLZ HELP !!!! Only do B) and C)
First frame is for b and second frame is for c
Which number is closest to O on the number line?
-0.26
0.3
0.275
-0.51
Answer:
-.26
Step-by-step explanation:
If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.
Answer:
-.26 is closest to 0 on the number line.
Step-by-step explanation:
To find distance we use absolute value to find the smallest absolute value.
The absolute value of each number is as follows
-0.26 (0.26)
0.3 (0.3)
0.275 (0.275)
-0.51 (0.51)
In order from least to greatest we have
.26, .275, .3, .51
Therefore -.26 is closest to 0 on the number line.
Good luck!!
I need help with this please :(
Answer:
4¹⁸
Step-by-step explanation:
(4⁻³)⁻⁶
= 4⁽⁻³⁾⁽⁻⁶⁾
= 4¹⁸
Answer:
[tex]\large \boxed{4^{18}}[/tex]
Step-by-step explanation:
When a base with an exponent has an whole exponent outside the parenthesis, we multiply the exponents.
[tex](4^{-3})^{-6}[/tex]
[tex]4^{-3 \times -6}[/tex]
[tex]4^{18}[/tex]
If a state issued license plates using the scheme of two letters followed by four digits, how many plates could it issue?
Answer:
Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.
please what are plane shapes
Answer:
Circle
hope this helps.
Answer:
A closed, two-dimensional or flat figure is called a plane shape.
Please help me solve this!
Answer:
Step-by-step explanation:
Reference angle = 27
height = 2
Sin(27) = opposite / hypotenuse
hypotenuse = opposite / sin(27)
opposite = 2
hypotenuse = 2 / sin(27)
hypotenuse = 4.405
The ramp has to be 4.41 feet long.
If 400 g of chocolate sells for $12,
"how much is the cost per kilogram?
the cost of the chocolate of 1 kg will be 30$
help asap will give 10 points
Answer:
False
Step-by-step explanation:
[tex]( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} [/tex]
Answer:
I'm pretty sure its false
Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .
Answer:
not a term
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
d = 11- 5 = 17 - 11 = 23 - 17 = 6
This indicate the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6, thus
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Equate this to 301 and solve for n
6n - 1 = 301 ( add 1 to both sides )
6n = 302 ( divide both sides by 6 )
n = 50.333....
Since n is not an integer value then 301 is not a term in this sequence.
m + 3n =7 help me solve m
Answer:
m = 7 - 3n
Step-by-step explanation:
subtract 3n from both sides of the equation
A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."
Answer:
The correct option is (C).
Step-by-step explanation:
The claim made by the golf analyst is:
Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.
A standard deviation test is to be performed.
The hypothesis for the test will be defined as follows:
H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.
Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.
Thus, the correct option is (C).
Warren is on vacation and needs to arrange transportation. A rental car costs 40 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)=________.
If Warren has budgeted 254 dollars for the rental, how many days can he afford?
Answer:
C(x)=40x+14, 6 days
Step-by-step explanation:
C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.
C(x)=254=40x+14, 40x=240, x=6
6r-1+6r=11 explain how to get so
Answer:
r = 1
Step-by-step explanation:
6r - 1 + 6r = 11
Adding 6r and 6r (because they're like terms) gives us:
12r - 1 = 11
Adding 1 to both sides of the equation gives us:
12r - 1 + 1 = 11 + 1
12r = 12
Dividing both sides of the equation by 12 gives us:
12r/12 = 12/12
r = 1
IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.
First, let's find the multiples of 10 and 14 until they equal 70.
[tex]10: 10,20,30,40,50,60,70[/tex]
[tex]14:14,28,42,56,70[/tex]
Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.
Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.
So, [tex]x = 70[/tex].
Hope this helped!
Answer:
x = 35
Step-by-step explanation:
70 factored is 2 x 5 x 7
x = 35
What is the prime factorization of 270?
Answer:
[tex]\boxed{3^3 * 2 * 5}[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18
3 x 19 x 14 + 18 ÷ 2
Answer:
807Step-by-step explanation:
[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]
[tex] = 807[/tex]
Answer:
408
Step-by-step explanation:
3x19= 57
57x14= 798
798 + 18= 816
816/ 2= 408
This is a very hard math question. Whoever answers correctly will get a brainlist too! Find the value of b. Then find the angle measures of the pentagon.
Answer:
Below
Step-by-step explanation:
The sum of the 5 angles is 540°
● b+(b+45)+90+(2b-90)+(3/2)b = 540
3/2 is 1.5
● b+b+45+90+2b-90+1.5b = 540
● 2b +45+2b+1.5b = 540
● 5.5 b +45 = 540
● 5.5b = 495
● b = 495/5.5
● b = 90°
Answer:
b = 90
Step-by-step explanation:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
b + b + 45 + 90 + 2b - 90 + (3/2)b - 90 = 540 - 90
b + b + 45 + 2b - 90 + (3/2)b = 450
2b + 2b + (45 * 2) + (2 *2b) - (90 * 2) + (2 * (3/2)b) = 450 * 2
2b + 2b + 90 + 4b - 180 + 3b = 900
11b - 90 = 900
11b - 90 + 90 = 900 + 90
11b = 990
b = 990 / 11
b = 90
check:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
90 + (90 + 45) + 90 + (2*90 - 90) + (3/2)*90 = 540
90 + 135 + 90 + 90 + 135 = 540
540 = 540 --- OK
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
The correct answer is b.
Step-by-step explanation:
if you arrange the data set in ascending order you will have:
x y
-2 [tex]\frac{1}{100}[/tex]
-1 [tex]\frac{1}{10}[/tex]
0 1
1 10
3 1000
Exponential growth is an increase in a specific way of a data set over time. here, as x increases by a +1, y increases with ×10
the angle of elevation from the top of the tower from a point 100m away from the ground is fourty five degrees. what is the hieght of the tower in the nearest meter
Answer:
100m
Step-by-step explanation:
x=the height of the tower
100m=the distance from the tower
45 degrees the angle of elevation
Drawing a diagram allows you to see that you can form a 'right-angled triangle'.
Using trig. :
Tan 45=x/100m
multiply both sides by 100m
100m*tan 45=100m
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta)=\frac{opposite}{adjacent} }[/tex]
Let the height be x.
[tex]\displaystyle \mathrm{tan(45)}=\frac{x}{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle 100 \cdot \mathrm{tan(45)}=x[/tex]
[tex]100=x[/tex]
The height of the tower is 100 meters.
The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:
Answer: Capable
Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.
Cp formula :
(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations
Diameter = 10 mm ± 0.5 mm
Standard deviation = 0.1mm
USL = 10 + 0.5 = 10.5
LSL = 10 - 0.5 =. 9.5
Cp = (10.5 - 9.5) / 6*0.1
Cp = 1/0.6
Cp = 1.6666
Cp = 1.67
Hence, the process is capable
8. Solve for x. Round your answer to the nearest tenth.
8.6
4
x
0176
Answer:
C. 9.5
Step-by-step explanation:
The Pythagorean Theorem: a^2 + b^2 = c^2.
4^2 + 8.6^2 = c^2
16 + 73.96 = c^2
c^2 = 89.96
c = 9.4847....
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Hope this can help you.
Answer:
octagonal: 8 faces, 16 edges, 9 verticestriangular pyramid: 3 faces, 6 edges, 4 verticestriangular prism: 3 faces, 9 edges, 6 verticesStep-by-step explanation:
A pyramid has twice as many edges as faces, and 1 more vertex than faces.
Octa- means 8.
Tri- means 3.
a) An octagonal pyramid has 8 faces, 16 edges, and 9 vertices.
b) A triangular pyramid has 3 faces, 6 edges, and 4 vertices.
__
A triangular prism will have 3 additional edges for the second "base", and 2 additional vertices.
c) A triangular prism has 3 faces, 9 edges, and 6 vertices.
__
Additional comments
We have not counted the base as a "face." We have only counted those that meet at the point of the pyramid.
There are as many vertices on the base as there are faces, and there is one more vertex where all the faces meet.
There is one edge at the base for each face, and there is one edge from the base vertex to the point of the pyramid for each face--a total of two edges per face.
__
A triangular pyramid is shown in the attachment.
In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answer:
9.013 square units
Step-by-step explanation:
Difference of the square of (x+6)(x+4)
Answer:
x^2 + 10x + 24
Step-by-step explanation:
(x+6)(x+4)
x^2 + 4x + 6x + 24
x^2 + 10x + 24
pls help. A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about $16. $17. $63. $72.
Answer:
about 72 dollars
Step-by-step explanation
"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.
Answer:
$72
Step-by-step explanation:
To find the cost, multiply the price per pound by the number of pounds.
8.99(7.8)
= 70.12
This is closest to $72