A number is divisible by 5 if the digit in the units or ones place is either 0 or 5. We want all digits to be even, so we throw out 5 as a candidate digit.
We're considering all numbers between 1000 and 9999, of which there are 9000. Numbers in this range can have any of the digits 0-9 in the tens and hundreds place, and any of 1-9 in the thousands place.
We also want all digits to be even, which means we can pull from the numbers {0, 2, 4, 6, 8} in the hundreds and tens places, and {2, 4, 6, 8} in the thousands place.
So there are 4*5*5*1 = 100 numbers in this range that are divisible by 5.
Find using synthetic division.
Answer:
x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]
Step-by-step explanation:
Using Synthetic division
divisor is (x - 5) , thus evaluate at h = 5
5 | 1 8 - 25 - 193
5 65 250
-----------------------------
1 13 50 57 ← remainder = 57
The coefficients of the quotient are 1, 13, 50 , that is
x² + 13x + 50
Thus
[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 50 + [tex]\frac{57}{x-5}[/tex]
If ε= {x: x is an integer such that 1
2 < x < 12,
4 < x < 21,
-1 < x < 9
0 < x < 8
x<6
From above: 4 < x < 6 --> x = 5.
Answer: B.
In terms of x? pls solve and show your work! Will give u brainliest!
Answer:
[tex] \sqrt{ {x}^{2} - 1 } [/tex]
Solution,
base=1
perpendicular=?
hypotenuse=X
now,
using Pythagoras theorem,
x^2=p^2+b^2
or, x^2=p^2+1^2
or,p^2=x^2-1
or, p=√x^2-1
tan theta=perpendicular/ base
tan theta =√x^2-1/1
tan theta=√x^2-1
z=tan theta
z=√x^2-1
Hope this helps...
Good luck on your assignment..
Answer:
[tex]\sqrt{x^{2}-1}}[/tex].
Step-by-step explanation:
The tangent of theta means that you are trying to find opposite over adjacent.
You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.
The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].
When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]
That is [tex]\sqrt{x^{2}-1}}[/tex].
So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].
Hope this helps!
which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.
As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
What is the value of f(4), if f(x) = x2 + 9x + 8?
In circle A, angle BAE is congruent to angle DAE.
What is the length of BE?
You need to give us answer choices.
However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.
The length of BE could possibly be 27 units.
- I hope this helps. Next time, please use the search feature :)))
What is the answer...?
Answer:
I think it's 1/2 because it might be right
If you use exactly eight cups of cauliflower to make 6 veggie burritos and if you continue to make burritos using the same recipe how many burritos can he make with 12 cups of cauliflower
Answer:
9 burritos
Step-by-step explanation:
We can use ratios to solve
8 cups 12 cups
---------- = -----------------
6 burritos x burritos
Using cross products
8x = 6*12
8x = 72
Divide by 8
8x/8 =72/8
x = 9
9 burritos
Please answer this fast in 2 minutes
Answer: angles EBA and HBI are congruent
Step-by-step explanation:
they are the congruent because they are verticle angles
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90
Answer:
x= -4
Step-by-step explanation:
2x+4=6x+20
so 2x-6x=20-4
divide both sides by -4
-4x/-4 = 16/4
=-4
You wish to make a snack mixes from peanuts and almonds to sell in your health-food store. Mix A is half peanuts and half almonds. Mix B is one fourth peanuts and three-fourths almonds. If you have 15 pounds of peanuts and 20 pounds of almonds, how many pounds of each mix should you make to exactly use all of your ingredients?
Answer:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:
[tex]0.5A+0.25B=15[/tex]
Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:
[tex]0.5A+0.75B=20[/tex]
Solving the linear system:
[tex]0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds[/tex]
In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B
Subtracting Fractions
13 minus 12/40 equals
Answer:
12 7/10
Step-by-step explanation:
13 - 12/40
Simplify the fraction
13 - 3/10
Borrow 1 from 13 in the form of 10/10
12 + 10/10 - 3/10
12 7/10
The radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°
Answer:
The length of the arc is 89 yards
Step-by-step explanation:
Mathematically, to find the length of an arc, we use the formula below;
Length of an arc = Theta/360 * 2 * pi * r
In this case, Theta = 300 and r = 17 yards
Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard
please help me I really need help
Answer:
NS ≈ 79.3 m∠PNS ≈ 30.3°Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
__
We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
a line segment has the endpoint (2,-3) (-6,-1) Describe theOff the line that through the points ex and Y
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where the slope m is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, -3) and (-6, -1).
Substitute:
[tex]m=\dfrac{-1-(-3)}{-6-2}=\dfrac{2}{-8}=-\dfrac{1}{4}[/tex]
[tex]y-(-3)=-\dfrac{1}{4}(x-2)\\\\y+3=-\dfrac{1}{4}(x-2)\to\text{point-slope form}[/tex]
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]y+3=-\dfrac{1}{4}(x-2)[/tex]
[tex]y+3=-\dfrac{1}{4}x+\dfrac{1}{2}[/tex] subtract 3 from both sides
[tex]y=-\dfrac{1}{4}x-2\dfrac{1}{2}\to\text{slope-intercept form}[/tex]
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
[tex]y+3=-\dfrac{1}{4}(x-2)[/tex] multiply both sides by 4
[tex]4y+12=-(x-2)[/tex]
[tex]4y+12=-x+2[/tex] subtract 12 from both sides
[tex]4y=-x-10[/tex] add x to both sides
[tex]x+4y=-10\to\text{standard form}[/tex]
Non-
n
14. Two packages weigh 3.92 pounds and
2.8 pounds. How many times heavier
is the first package than the second?
07 times
Hey there!
Let's think of this with a simpler example. Let's say one package is 4 pounds and one is 2 pounds. How many times heavier is the first than the second?Well, two, because the first package is double the weight of the second package! It's twice as heavy! And to get to that number, we divide four by two!
So, in our actual problem, we just divide 3.92 (bigger package) by 2.8 (smaller package).
3.92÷2.8=1.4
So, the first package is 1.4 times heavier than the first one!
Have a wonderful day!
Find the solutions to the equation below.
Check all that apply.
x2 - 25 = 0
O A. X=-3
OB. x = 3
O c. x= -1
O D. x= 1
E. x = -5
O F. X = 5
Answer:
[tex]\boxed{\sf \ \ \ x = 5 \ or \ x=-5 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]x^2-25=0\\<=> x^2-5^2=0\\<=> (x-5)(x+5)=0\\<=> x-5 = 0 \ or \ x+5=0\\<=> x = 5 \ or \ x=-5[/tex]
hope this helps
I am really struggling with this question. please help.
Answer:
y = -2/3x + 1
Step-by-step explanation:
Step 1: Find slope
m = (-1 - 3)/(3 + 3)
m = -2/3
y = -2/3x + b
Step 2: Find b
-1 = -2/3(3) + b
-1 = -2 + b
b = 1
Step 3: Write equation
y = -2/3x + 1
Will give Brainliest if u help me solve this problem
Answer:
31
Step-by-step explanation:
Median is the middle number when you order them ascending.
Answer:
40 million acres.
Step-by-step explanation:
15 ,27, 31, 40, 44. The median number is the middle number(arranged from least to greatest). In 5 numbers, the middle number is the 3rd number(arranged from least to greatest), therefore; the answer is 31.
Apply the square root principle to solve (x - 2)2 + 20 = 0.
OA) x = 2 + 2115 , X = 2 - 2015
OB) x = 2 + 215 , X = 2 - 215
OC) x = -2 + 2i15, x = -2 - 2115
OD) x = -2 + 215,= -2 - 2 15
A circular traffic island "roundabout" in Road Town has a radius of 12.5 m. If you drove around it twice, what would be the distance you traveled?
Answer:
About 157 meters
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex]. In this case, this means that one loop around the roundabout would be a distance of:
[tex]2\cdot \pi \cdot 12.5\approx 78.5[/tex]
Multiplying this by 2, you get a distance of about 157 meters. Hope this helps!
Answer:
157.14 mSolution,
1 round = circumference
[tex]2\pi \: r[/tex]
[tex] = 2 \times \frac{22}{7} \times 12.5[/tex]
[tex] = \frac{44}{7} \times 12.5[/tex]
Required distance covered:
[tex]2 \times \frac{44}{7} \times 12.5 \\ = \frac{88 \times 12.5}{7} \\ = 157.14 \: m[/tex]
hope this helps..
Good luck on your assignment...
A. Fill in the boxes :
8 tens + 19 ones = 9 tens +
ones
8 tens + 2 ones = 7 tens +
ones
7 tens + 25 ones = 9 tens +
ones
70 + 11 = 80 +
50 +
= 60 + 3
90 + 13 =
+ 3
Step-by-step explanation:
it's simple:
8 tens + 19ones = 9 tens + 9 ones8 tens + 2 ones =7 tens+12 ones7 tens +25 ones = 9 tens + 5 ones70+11=80+150+13=60+390+13=100+3In need of an answer (giving brainliest)
Answer:
The answer is D.
Step-by-step explanation:
The lateral surface area of a 3-D figure is the area of each face that is NOT a base.
Piravena must make a trip from A to B then from B to C, then from C to A. Each of these three parts of the trip is made entirely by bus or entirely by airplane. The cities form a right-angled triangle as shown, with C a distance of 3000 km from A and with B a distance of 3250 km from A. To take a bus, it costs Piravena $0.15 per kilometer. To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer. Determine the distance she travels for her complete trip. URGENT! I Will mark brainiest if it is correct
Answer:
a) Cost of flying from A to B = $425
b) Total distance travelled by Piravena during the complete trip = 7,500 km
c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.
Step-by-step explanation:
The complete question is presented in the attached image to this question.
Full Question
a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.
b) Determine the distance she travels for her complete trip.
c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.
Solution
a) The distance from A to B is given as 3250 km.
To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.
So, to fly 3250 km, she will pay
100 + (0.10×3250) = $425
b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.
Her complete distance travelled = AB + BC + CA
But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.
Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides
AB² = BC² + CA²
3250² = BC² + 3000²
BC² = 3250² - 3000² = 1,562,500
BC = √1,562,500 = 1,250 km
Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km
c) Her total cost of travel = $1012.50
But she definitely flew from A to B at a cost of $425
This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5
Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.
To confirm this, we calculate the two options (bus or airplane) for each route.
If she travels B to C by bus, cost = 0.15 × 1250 = $187.5
If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225
Hence, the bus obviously minimizes cost here.
If she travels from C to A by bus, cost = 0.15 × 3000 = $450
If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400
Here, travelling by airplane minimizes the cost.
So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5
which is the remaining part of her total cost is she minimized expenses!
Hope this Helps!!!
Answer:
The distance is 7500 kilometers
Step-by-step explanation:
I got the answer wrong myself and the website told me that it’s 7500 kilometers
If you invest $1,000 in an account paying 4% interest compounded quarterly,lhow much money will you have after 3 years? A.)$1,500 B.)$1,005 C.)$1,220 D.)$1,225
Answer:
C is closest to the actual result, $1126.03.
Step-by-step explanation:
Use the Compound Amount formula: A = P(1 + r/n)^(nt), where:
P is the original principal; r is the interest rate as a decimal fraction; n is the number of compounding periods per year, and t is the number of years.
Then we have A = $1000(1 + 0.04/4)^(4*3), or
= $1000(1.01)^12 = $1126.03
Explain why the graphs of reciprocals of linear functions (except horizontal ones) always have vertical asymptotes,
but the graphs of reciprocals of quadratic functions sometimes do not.
Answer:
The reason is because linear functions always have real solutions while some quadratic functions have only imaginary solutions
Step-by-step explanation:
An asymptote of a curve (function) is the line to which the curve is converging or to which the curve to line distance decreases progressively towards zero as the x and y coordinates of points on the line approaches infinity such that the line and its asymptote do not meet.
The reciprocals of linear function f(x) are the number 1 divided by function that is 1/f(x) such that there always exist a value of x for which the function f(x) which is the denominator of the reciprocal equals zero (f(x) = 0) and the value of the reciprocal of the function at that point (y' = 1/(f(x)=0) = 1/0 = ∞) is infinity.
Therefore, because a linear function always has a real solution there always exist a value of x for which the reciprocal of a linear function approaches infinity that is have a vertical asymptote.
However a quadratic function does not always have a real solution as from the general formula of solving quadratic equations, which are put in the form, a·x² + b·x + c = 0 is [tex]\dfrac{-b \pm \sqrt{b^{2} - 4\cdot a\cdot c}}{2\cdot a}[/tex], and when 4·a·c > b² we have;
b² - 4·a·c < 0 = -ve value hence;
√(-ve value) = Imaginary number
Hence the reciprocal of the quadratic function f(x) = a·x² + b·x + c = 0, where 4·a·c > b² does not have a real solution when the function is equal to zero hence the reciprocal of the quadratic function which is 1/(a·x² + b·x + c = 0) has imaginary values, and therefore does not have vertical asymptotes.
Kaitlin paid $16.60 for 33.2 centimeters of wire.
Find the unit price in dollars per centimeter.
If necessary, round your answer to the nearest cent.
Answer:
Step-by-step explanation:
$0.50 per centimeters i think
Find the midpoint between each pair of points. (4,7) (2,9)
PLEASE HELP!!!
Answer:
The midpoint is (3,8)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the two coordinates together and divide by 2
( 4+2)/2 = 6/2 = 3
To find the y coordinate of the midpoint, add the two coordinates together and divide by 2
( 7+9)/2 = 16/2 = 8
The midpoint is (3,8)
On a coordinate plane, triangle Q R S has points (negative 9, 5), (6, 10), and (2, negative 10). Find the area of the triangle QRS.
Answer:
140 square units
Step-by-step explanation:
The areas of the three right triangles are subtracted from the area of the entire box. This gives you 140 square units.
Select the polynomial that is a perfect square trinomial.
36x2 - 4x + 16
16x2 - 8x + 36
25x2 + 9x + 4
4x2 + 20x + 25
none of the above
Step-by-step explanation:
36x²-4x+16 = (6x)²- 2*2*x+ 4² this isn't a perfect square trinomial 16x²-8x+36 = (4x)² - 2*4*x+6² this isn't a perfect square trinomial 25x²+9x+4= (5x)²+2* 9/2 *x+ 2² this isn't a perfect trinomial 4x²+20x+25 = (2x)² + 5*4*x+5² this isn't a perfect trinomial squareAnswer:
option c
Step-by-step explanation: