Answer:
4.
Step-by-step explanation:
Hope this helps!
Answer:
k² − 4k + 4
Step-by-step explanation:
recall the following property of perfect square quadratics
(a-b)² = a²- 2ab + b² --------------( eq1)
We are given:
k² − 4k + ? --------------(eq 2)
and we are asked to determine ? for which the expression above is a perfect square.
Manipulating the given equation:
k² − 4k + ? (factor out 2 from the 2nd term), we get:
k² −(2)(k)(2) + ?
now we compare this with the right side of (eq1)
a²- 2 a b + b²
we can clearly see that a = k and b = 2,
substituting this back into eq 2,
k² − 4k + 2²
= k² − 4k + 4
The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently
measures 120 ft by 80 ft, and the expansion will increase its area by 4.400 ft? By how many feet should the length of the
parking lot be increased?
Answer:
The length of the parking lot should be increased by 20 feet.
Step-by-step explanation:
First, you find the product of 120 and 80, you get 9600.
Next, add 4400 to it. You get 1400
Finally what would you add to both 120 and 80 to get 14000? 20 to get 140*100.
a rectangle has an are of 240 square centimeters. The height of the rectangle is 24 centimeters. What is length of its base?
Answer:
The length is 10 cm
Step-by-step explanation:
The area of a rectangle is found by
A = l*w
240 = 24*l
Divide each side by 24
240/24 = 24l/24
10 =l
The length is 10 cm
Describe the likelihood of spinning an odd
number then an even number.
A 12 pack of cola costs $5.46. How much does one can of cola cost? In other words, find the unit rate of one can of cola.
Answer:
.45
Step-by-step explanation:
5.46 is a 12 pack
5.46/12 = .455
Answer:
$0.46
Explanation:
12 cans = $5.46
1 can = .455
In the recursive formula an = an−1 + 5, the value of the previous term is represented by
A) an
B) a5
C) an+5
D) an−1
Step-by-step explanation:
In the recursive formula an = an−1 + 5
[tex]a_n = a_{n-1}+5[/tex]
Suppose if a_5 is the nth term then previous term is a_4
To get the previous term we need to subtract 1 from the n
So a_n is the nth term
[tex]a_{n-1}[/tex] is the previous term
Here 5 represents the common difference between two terms
So value of previous term is represented by
[tex]a_{n-1}[/tex]
Answer : [tex]a_{n-1}[/tex]
Answer:
D) [tex]a_{n-1}[/tex]
Step-by-step explanation:
-1 indicates the previous term
Round 6.82245628434 to 5 decimal places
The number after rounding off to 5 decimal places will be -
6.88246
We have the following number - 6.82245628434
We have to round it of to 5 decimal places.
What are Rounding numbers?Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. Foe example - 53 rounded to the nearest ten is 50.
According to the question, we have the following number -
6.82245628434
Rounding it off One by one until we get 5 digits after decimal -
R1 - 6.8224562843
R2 - 6.822456284
R3 - 6.82245628
R4 - 6.8224563
R5 - 6.822456
R6 - 6.82246
Hence, the number after rounding off to 5 decimal places will be -
6.88246
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The number 6.82245628434 rounded to 5 decimal places is 6.82245.
Explanation:To round the number 6.82245628434 to 5 decimal places, you should consider the 6th digit beyond the decimal point. In this case, the 6th digit is number 5, and the 5th digit is 2 that is even. Because the digit following the decimal place you are rounding to (5th place, the digit is 2) is exactly 5 and preceding digit is even, you don't round up the preceding digit. So, when you round 6.82245628434 to 5 decimal places, you get 6.82245.
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5. There are 8,336 doctors being trained in the country. Half of the doctors, which is about
__________, will finish their training in two years.
a. 4,000 b. 4,200 c. 4,400
Answer:
b
Step-by-step explanation:
Answer:
B. 4,200
Step-by-step explanation:
This is your answer because 8,336 could be rounded to 8,400 and 8,400 divided by 2, or split in half is 4,200.
Equation: 8,400÷2= 4,200
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?
Answer:
3/9
Step-by-step explanation:
Help me ASAP please
Answer: 120
Step-by-step explanation:
Answer:
The one on the left is 120.
The one on the right is 185
Step-by-step explanation:
It izz wat it izzzz!!!
please...please help offering 20 points
Answer:
Option D 0.84
Step-by-step explanation:
Answer:
0.84
Step-by-step explanation:
i think thats it because i know it cant be a negative
Brainliest to first person to answer + 35 points
Answer:
I am pretty sure it is
Step-by-step explanation:
(d) or( b)
A pyramid-shaped roof has a slant height of 16 ft and its square base is 40 ft wide. How much roofing material is needed to
cover the roof?
Answer:
1280ft²
Step-by-step explanation:
To find the total surface area of a square pyramid, we find the area of the square base and add it to the area of the four triangular faces.
The area of the square base is
[tex] {40}^{2} = 1600 {ft}^{2} [/tex]
The area of the four triangular faces is
[tex] = 4 \times \frac{1}{2} \times 40 \times 16 = 1280 {ft}^{2} [/tex]
In the context of this problem , the base will not be roofed, therefore the 1280 ft² of material is needed to cover the roof
0.5(r+2.75)=3 sovle for r
Hope this will help u...:)
2 PONS
Factor the polynomial: x(3x + 5) - 4(3x+5)
O A. (3x+5)(x - 4)
O B. 4x(3x + 5)
O C. (3x+5)(x+4)
O D. -4x(3x + 5)
SUBMIT
The right answer is of option A.
Look at the attached picture⤴
Hope it will help you...
What is the mean?
1 4 0 0 1 5 3 2 2
Answer:
Mean is 2
Step-by-step explanation:
The common difference ,d in an arithmetic sequence whose fourth term is 16 and whose seventh therm is 31
Answer: d=5
Step-by-step explanation:
Arithmetic progression
An=a1+d(n-1)
An= nth term
A1= first term
D= common difference
N= nth position
We are given the 4th and 7th terms
For 4th term,n=4
A4=a1+d(4-1)
A4= 16
16= a1+d(4-1)
16= a1+3d........equation 1
For the 7th term,n=7
A7=a1+d(7-1)
A7= 31
31=a1+6d......equation 2
Bring them together
16=a1+3d
31=a1+6d
Subtract equation 1 from 2
So we have
15=3d
D=15/3
D=5
Therefore, the common difference is 5
Hawaii (12° F)
-60South Dakota (-58° F)
Enter the difference, in degrees, between the record low temperatures
Hawaii and South Dakota.
Final answer:
The difference in degrees between the record-low temperatures of Hawaii and South Dakota is 70°F.
Explanation:
The difference in degrees between the record-low temperatures of Hawaii and South Dakota can be found by subtracting the temperature of South Dakota from the temperature of Hawaii.
Hawaii has a record low temperature of 12°F and South Dakota has a record low temperature of -58°F.
Therefore, the difference in degrees between the two record-low temperatures is:
(12°F) - (-58°F)
= 12°F + 58°F
= 70°F.
Factor this expression completely.
39x − 52y + 13
Answer:
13(3x-4y+1)
Step-by-step explanation:
Rewrite 52 as (4)(13)
Rewrite 39 as (3)(13)
[tex]=(3*13)x+(4*13)y+13[/tex]
Then factor out the common term 13
[tex]13(3x-4y+1)[/tex]
That is your answer!
Have a nice day. Please vote brainliest!
Answer:
13(3x-4y+1)
Step-by-step explanation:
What is the distance between (-6,4) and (-8, 6)?
Answer:
[tex]\sqrt{8}=2\sqrt{2}[/tex]
Step-by-step explanation:
by using well known formula, distance on XOY plane
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=\sqrt{(-8-(-6))^2+(6-4)^2}
\\=\sqrt{(-2)^2+(2)^2}[/tex]
The distance between the points (-6,4) and (-8, 6) can be found using the distance formula derived from the Pythagorean Theorem. After substituting and simplifying, we find the distance to be sqrt[8] or about 2.83 when rounded to two decimal places.
To find the distance between two points, we use the distance formula derived from the Pythagorean Theorem: d = sqrt[(x2 - x1)² + (y2 - y1)²].
Here, we are trying to find the distance between points (-6,4) and (-8, 6). We assign (-6,4) to (x1, y1) and (-8,6) to (x2, y2).
So, substituting into our formula we get: d = sqrt[(-8 - (-6))² + (6 - 4)²] = sqrt[(2)^2 + (2)^2] = sqrt[4 + 4] = sqrt[8] or about 2.83 when rounded to two decimal places.
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PLEASE HELP FIRST ONE GETS IT
Answer:x=-1
Step-by-step explanation:
To solve 6-3+4x+1=
Collect like terms
6+1-3+4x=
7-3+4x=
4=-4x
x=-1
There is one solution
What did the Selective Service Act mean for American men
Answer: The Selective Service Act requires all men between the ages of 21 and 30 to register for military service.
Step-by-step explanation:
Answer:
they could be drafted into the army
Step-by-step explanation:
Ape x
y+2=−2(x−3)
what is the slope of the line?
will get brainliest
Answer:
y = -2x + 6 - 2
y = -2x + 4
The slope of the line is -2.
Step-by-step explanation:
Answer:
Y+2= -2(x-3)
Subtract 2 both sides
Y= -2x + 6 -2
Y= -2x + 4
The slope is. -2
Step-by-step explanation:
Need help on number 10!!
Answer:
looking for the leg
Step-by-step explanation:
use patharoum therom to solve
Answer:
Step-by-step explanation:
For the check one box it will be hypotenuse and the equation will be 36^2 and 34^2
How many solutions does the equation 5x=2 have
Answer:
one solution
Step-by-step explanation:
5x=2
Divide each side by 5
5x/5 = 2/5
x = 2/5
There is one solution
Rosa is converting a unit of measure in one system to a unit of measure in another system. 1,760 yd1 mi⋅0.914 m1 yd⋅1 km1,000 m Which statement about Rosa's calculations is true?
Rosa is finding the number of kilometers in a mile.
Rosa is finding the number of meters in a mile.
Rosa is finding the number of miles in a kilometer.
Rosa is finding the number of yards in a kilometer.
Answer: Rosa is finding the number of kilometers in a mile.
Step-by-step explanation:
According to the given information, we have:
1,760 yd=1 mi
0.914 m=1 yd
1 km=1,000 m
So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:
[tex](1 mi\frac{1,760 yd}{1 mi})( \frac{0.914 m}{1 yd})( \frac{1 km}{1,000 m})=1.608 km[/tex]
Then:
[tex]1 mi=1.608 km[/tex] This is the number of kilometers in a mile.
A windshield wiper blade turns through an angle of 135°. The bottom of the blade traces an arc with a 5-inch radius. The top of the blade traces an arc with a 22-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? Round to the nearest whole number.
The upper arc is longer than the lower arc by inches.
Step-by-step explanation:
Since both the arcs are made by the same wiper blade, hence the angle of the arc would be the same.
The radius of upper arc= 22 inch
The radius of the lower arc= 5 inch
Angle made by the arc= 135°
We know that length of the arc= (angle made/360)*2πr
Where r is the radius of the arc
The difference in the arc length has been due to the difference in radius of the arcs.
Hence, the difference in the radius would be equal to the difference in arc length.
Difference in wiper radius= 22-5= 17 inch
Putting the values together
arc length= (135/360)*2*3.14*17
arc length= 40.035
The difference in arc length=40 inches (rounded off to the nearest whole number)
If y equal 6 what is 2y
Answer:
12
Step-by-step explanation:
2*6=12
Answer:
12
Step-by-step explanation:
if y is 6 this u change the y to a 6 making it a multiplication problem 2*6
6. Y=...?
Find the equation using the graph and table of values.
Answer:
[tex]y=-1x+1[/tex]
Step-by-step explanation:
To find the equation, you have to know the equation 'format' which is [tex]y=mx+b[/tex]
mx is the slope
b is the y-intercept
The slope is -1 because it goes down 1 and right 1 [tex]\frac{rise}{run}[/tex]
The y-intercept is 1 because that is where the line touches the y-axis.
So, if we plug it in, it will look like:
y = -1x + 1 which can also be written as y = -x + 1
what is the width of orion’s belt? That is, what is the distance between alnitak and mintaka
Answer:width-184.08 light year distance between alnitak and mintaka-60 light years
Step-by-step explanation:
Which of the following groups is NOT considered a sample of the US population?
A.) Women who live in the US
B.) People who are registered to vote in the US
C.) Europeans who vacation in the US
D.) Students who attend public schools in the US
The correct groups is NOT considered a sample of the US population is,
⇒ Europeans who vacation in the US.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find groups which is NOT considered a sample of the US population.
Now, By the given statements we get;
The correct groups is NOT considered a sample of the US population is,
⇒ Europeans who vacation in the US.
Thus, Option C is true.
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