Answer:
3900
Step-by-step explanation:
since its to the nearest 100th we use the common rule that if the number is greater than half way then we round up otherwise if it is less then we round down. In the number 3867, 867 is greater than 850 so we round up. It becomes 3900 then.
Find the equation of a circle with PQ as diameter, where P(2,-6) and Q(-6,-4)
Answer:
y=-¼x+⁴⁴/8
Step-by-step explanation:
p(2,-6). Q(-6-4)
p (x¹,y¹). Q(x²,y²)
1) find the gradient(slope)
gradient=y²-y¹
x²-x¹
gradient = -4-(-6)
-6-2
gradient= -4+6
-6-2
gradient=²/-8
2)equation is supposed to be in the form of y=mx+c
where m is the gradient
thus.
gradient=y²-y¹
x²-x¹
when finding the equation we only use one of the values of the coordinates leaving the other as an unknown value.
2 = y-(-4)
-8 x-(-6)
2 =y+4
-8. x+6
remove the denominators by cross multiplying that is:
2(x+6)= -8(y+4)
2x+12= -8y-32
express in the format y=mx+c
2x+12+32=-8y
2x+44=-8y.
divide all sides by -8 to remain with y
²/-8x+⁴⁴/-8=y
-¼x+ -⁴⁴/8=y
y=-¼x-⁴⁴/8
a number with 2 consecutive natural digits, how many units will it increase if written in reverse order. Detail solution pls
Answer:
It will increase by 9 units.
Step-by-step explanation:
We can write the lowest number as 10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.
Subtracting:
10(a + 1) + a - (10a + a +1)
= 10a + 10 + a - 10a - a - 1
= 10a - 10a + a - a + 10 - 1
= 10 - 1
= 9.
2. At a local restaurant, 55% of people order an appetizer to start while 25%
order a salad to start. Also, 18% choose both an appetizer and a salad to start.
What percentage of people order a salad or an appetizer to start?
Answer:
Probability of people order a salad or an appetizer P(A∪B) = 62%
Step-by-step explanation:
Given:
Probability of appetizer P(A) = 55%
Probability of salad P(B) = 25%
Probability of choose both P(A∩B) = 18%
Find:
Probability of people order a salad or an appetizer P(A∪B)
Computation:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 55% + 25% - 18%
P(A∪B) = 62%
Probability of people order a salad or an appetizer P(A∪B) = 62%
Which of the following equations have exactly one solution? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2x-31=2x-31 (Choice B) B 2x-31=-2x-31 (Choice C) C 2x+31=2x-31 (Choice D) D 2x-2=2x-31
Answer:
B 2x - 31 = -2x - 31 have exactly one solution
Step-by-step explanation:
Which of the following equations have exactly one solution?
Choose all answers that apply:
A 2x - 31 = 2x - 31
B 2x - 31 = -2x - 31
C 2x + 31 = 2x - 31
D 2x - 2 = 2x - 31
A. 2x - 31 = 2x - 31
2x-31=2x-31
Collect like terms
2x-2x= -31+31
0=0
Infinite number of solutions
B 2x - 31 = -2x - 31
2x - 31 = -2x - 31
Collect like terms
2x+2x=-31+31
4x=0
x=0
One solution
C 2x + 31 = 2x - 31
2x + 31 = 2x - 31
Collect like terms
2x-2x= -31-31
0= -62
No solution
D 2x - 2 = 2x - 31
2x - 2 = 2x - 31
Collect like terms
2x-2x= -31+2
0= -29
No solution
Please help...Will give brainiest
Answer:
19.45
Step-by-step explanation:
The median is the middle number. Put the data in order from smallest to largest
16.3, 17.8,17.8 ,18.0, 18.7,19.3, 19.6,20.1,20.5, 21.9, 25.2 ,25.4
There are 12 pieces of data,
16.3, 17.8,17.8 ,18.0, 18.7,19.3, 19.6,20.1,20.5, 21.9, 25.2 ,25.4
The median lies between the 6th and 7th piece
Add the 6th and 7th together and divide by 2
(19.3+19.6)/2 =19.45
Answer:
[tex]\large \boxed{\mathrm{19.45}}[/tex]
Step-by-step explanation:
Median of a data set is the middle value.
The data is to be arranged from smallest to largest.
16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4
Find the middle value.
16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4
Average the two middle numbers.
(19.3+19.6)/2 = 19.45
The median of the data set is 19.45.
Which line is parallel to line r? line p line q line s line t
Answer:
Line S
Step-by-step explanation:
Answer:
line s
Step-by-step explanation:
coz if you extend both the line (line r and line s )
they will not intersect at any point...
plz let me know if it was helpful to you dude!
How can you change a rational number to a decimal? Can you give an exsample?
Answer:
1/2=0.5
Step-by-step explanation:
¼=0.25
¾=0.75
I need help with multistep equations
Answer:
1 2/3 = m
Step-by-step explanation:
2/3 = m+3/5 -8/5
Combine terms
2/3 = m-5/5
2/3 = m -1
Add 1 to each side
2/3 +1 = m-1+1
2/3 +3/3 = m
5/3 = m
1 2/3 = m
Answer:
[tex]\large \boxed{\sf m = \frac{5}{3} }}[/tex]
Step-by-step explanation:
2/3 = m + 3/5 - 8/5
Subtract the fractions since the denominators are same.
2/3 = m -5/5
Simplify the equation.
2/3 = m - 1
Add 1 to each side.
5/3 = m
I NEED HELP PLEASE FIRST ONE TO ANSWER THIS RIGHT GETS 5 STARS !
Answer:
The answer is 2Step-by-step explanation:
[tex] {32}^{ \frac{1}{5} } [/tex]To solve the question first write 32 in exponential form
That's
[tex]32 = {2}^{5} [/tex]Multiply the exponent by 1/5
That's
[tex] {2}^{5 \times \frac{1}{5} } [/tex]We have the final answer as
2Hope this helps you
Answer:
2
Step-by-step explanation:
32 ^ (1/5)
Rewriting 32 as 2^5
2^5 ^ 1/5
We know that a^b^c = a^ ( b*c)
2^ ( 5*1/5)
2^1
2
PLS HURRY!!! Charlie made a table to show how much time he spent on activities last week . Activity Time spent (hours ) Swimming Reading Cooking Soccer On which activities did Charlie spend more than hour? PLS HURRY
Answer:
None
Step-by-step explanation:
All of the fractions listed are not a whole or more than a whole. They are all parts of a whole, therefore she did not spend more than an hour on any of them
Answer:
cooking and swimming
Step-by-step explanation:
An object has a mass of 50.0 g and a volume of 10.5 cm cubed. What is the object's density? A. 60.5 g/cm cubed B. 0.21 g/cm cubed C. 4.76 g/cm cubed D. 525 g/cm cubed
Answer:
4.76 g/cm³
Step-by-step explanation:
Density formula = mass / volume
1. Set up the equation and solve
50.0 / 10.5 = 4.76
help...me...plz..!!.....?
Answer:
[tex]\huge\boxed{-1}[/tex]
Step-by-step explanation:
[tex]\frac{-5^2}{(-5)^2}[/tex]
=> [tex]\frac{-25}{25}[/tex]
=> -1
Answer:
-1
Step-by-step explanation:
-5^2 is -25 because you have to do exponents first, so 5^2 is 25. Add a negative symbol there, it becomes -25.
For the denominator, we do the exact same process, except a little different. Since there are parentheses around the negative five, we have to apply the negative symbol on the 5 before we do the exponents. After, we do -5^2 which is 25 because when you are multiplying negative, you always get a positive.
When we are all done with that, we put the numerator over the denominator to get -25/25, which is equivalent to -1.
Diagonals of a parallelogram _____ each other.
Answer:
They will bisect eachother
Step-by-step explanation:
meaning they will cross in the middle
help please, got a little lost in everything
Answer:
375 mm cubed
Step-by-step explanation:
The volume would stay the same because the same number of the same pennies are being used.
If the question was asking for the surface area, then the answer would be different.
Hope that helped!!! k
Answer: 375 mm cubed
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
Answer:
Area of the square: 36
Step-by-step explanation:
6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!
Answer:
A=36 cm²
Step-by-step explanation:
the perimeter of triangle=a+b+c
P=6.1+8.2+9.7
P= 24 cm
P of triangle = P of square ( square has 4 equal sides):
24=4a
a=24/4=6
Area of square : a²
A=6² = 36 cm²
Jaden’s teacher had 4 boxes of pens that each contained y pens. She took 6 pens out of one of the boxes and told her 17 students to divide the remaining pens equally among themselves. Which expression shows the number of pens each student got?
Answer:
x = (4y-6)/17
where x is the number of pens each student got.
Step-by-step explanation:
No. of boxes = 4
no. of pen in 1 box = y
total no, of pens in 4 box = No. of boxes *no. of pen in 1 box = 4y
No. of pen took away by Jaden's teacher = 6
no. of pens left = 4y - 6
This, 4y - 6 pen has to be divided among 17 students.
Let each student get x pen
thus, total no. of pen got by 17 student = 17x
This, 17x should be equal to total no. of pens available which is 4y-6
17x = 4y-6
=> x = (4y-6)/17
Thus, expression to represent number of pens each student got
is x = (4y-6)/17
Answer:
4y-6/17
Step-by-step explanation:
Jaden’s teacher had 4 boxes of pens that each contained y pens.
Number of boxes of pen = 4
Number of pens per box = y
Total number of pens = 4 x y = 4y
She took 6 pens out of one of the boxes told her 17 students to divide the remaining pens equally among themselves.
Total number of pens left = 4y - 6
Number of students = 17
Use the diagram to answer the question.
Which of the following statements is true?
lines and line t Intersect
O lines and line t Intersect at Point P
Point Pis on linet and on lines
all of the above are true
Answer:
O lines and line t Intersect at Point P
1. ABCD is a quadrilateral in which angle A = angle C and angle B = angle D
Prove that, if the opposite angles of a quadrilateral are equal, then the quadrilateral is a
parallelogram.
Answer:
Quadrilateral ABCD is a parallelogram, quadrilateral with opposite sides parallel
Step-by-step explanation:
Statement, Reason
∠A = ∠C, Given
∠B = ∠D, Given
Therefore, we have
∠A + ∠B + ∠C + ∠D = 360°, Sum of interior angles of a quadrilateral
2×∠A + 2×∠B = 360°, Substitution property of equality
∴ ∠A + ∠B = 360°/2 = 180°
∠A + ∠B, are supplementary angles, Angles that sum up to 180°
Similarly,
∠C + ∠D, are supplementary angles, Angles that sum up to 180°
Therefore, segment DA is parallel to segment BC, (Lines with supplementary angles on the same side of the transversal)
Similarly, given ∠A = ∠C and ∠B = ∠D, we have;
∠A + ∠D and ∠C + ∠B are supplementary angles, Angles that sum up to 180°
Therefore, segment AB is parallel to segment DC, (Lines with supplementary angles on the same side of the transversal)
Therefore;
Quadrilateral ABCD is a parallelogram, quadrilateral with parallel opposite sides.
PLEASE HELP!!! Jim made a table to show the length of his walking sticks.
Which walking sticks measured less than 3/5 meters? Choose 2 answers
Answer:
Stick 2: [tex] \frac{1}{2} [/tex]
Stick 3: [tex] \frac{4}{10} [/tex]
Step-by-step explanation:
To determine which of the lengths are less than ⅗ meters, you would compare each given length with ⅗ meters.
Stick 1: Comparing ⁹/10 and ⅗
Find The common denominator of both fractions. 10 is the common denominator. Multiply the numerator and denominator of ⅗ by 2 to create a fraction equivalent to ⁹/10.
Thus,
[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]
Compare the numerator of [tex] \frac{9}{10} [/tex] and [tex] \frac{6}{10} [/tex].
9 is greater than 6. This means [tex] \frac{9}{10} [/tex] > [tex] \frac{6}{10} [/tex].
Therefore, [tex] \frac{9}{10} [/tex] > [tex] \frac{3}{5} [/tex]
Stick 2: comparing ½ and ⅗
Common denominator = 10
Make both fractions equivalent to each other as follows,
[tex] \frac{1*5}{2*5} = \frac{5}{10} [/tex]
[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]
5 < 6. This means, [tex] \frac{5}{10} [/tex] < [tex] \frac{6}{10} [/tex].
Therefore, [tex] \frac{1}{2} [/tex] < [tex] \frac{3}{5} [/tex]
Stick 3: comparing ⁴/10 and ⅗
Common denominator = 10
Make the fractions equivalent as follows,
[tex] \frac{4*1}{10*1} = \frac{4}{10} [/tex]
[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]
4 < 6. This means, [tex] \frac{4}{10} [/tex] < [tex] \frac{6}{10} [/tex].
Therefore, [tex] \frac{4}{10} [/tex] < [tex] \frac{3}{5} [/tex]
Stick 4: comparing ⅘ and ⅗
Common denominator = 5
Since both denominators are already the same, both fractions are equivalent. Comparing their numerator, 4 > 3. Therefore, ⅘ > ⅗.
soo.....here i go again ask for help!!
Answer:
1. The Additive Inverse Property
2. Zero Product Property
Step-by-step explanation:
In the first step, we can see that we ad 4 and -4 to get to 0.
4 and -4 are opposites, and because of the Additive Inverse Property, they equal 0.
In the second step, we can see that we multiply y by 0. According to the Zero Product Property, anything multiplied by zero will equal 0.
Hope this helped!
If a coin is flipped five times and a head comes up two times, what is the relative frequency of head coming up? A) 0.40 B) 0.20 C) 0.60 D) 0.80
Answer:
A) 0.40
Step-by-step explanation:
5 goes into 100, 20 times. Each coin flip is equal to 0.20, so 2 heads would be 0.40.
Relative frequency of heads coming up is 0.40
Given,
Flipping of coin 5 times .
Here,
The probability of head and tail coming in a single flip of coin is equal .
P(H) = P(T) = 1/2
Thus there are equal number of chances for head and tail .
Here,
Two heads are coming in the flip of five times .
So,
Two heads will be coming up as
0.20 * 2
= 0.40
Know more about probability,
https://brainly.com/question/31828911
#SPJ4
Simplify {[(0.2)^3] x 8} / (0.4)^2
40
0.4
0.2
0.04
Answer:
0.4
Step-by-step explanation:
Given
[tex]\frac{0.2^3(8)}{0.4^2}[/tex]
= [tex]\frac{0.008(8)}{0.16}[/tex]
= [tex]\frac{0.064}{0.16}[/tex]
= 0.4
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!! :)
Answer:
(5,3) and (5,9)
Step-by-step explanation:
Find the perimeter of the following rectilinear figure.
Answer:
54
Step-by-step explanation
You can't find the other sides, it may seem impossible, but you have to look at this problem in a different way. To find the perimeter of any figure you just need to know the top base, bottom base, right side, and left side.
We see that the top base equals to the bottom base as it is a rectilinear figure. You have to treat the side with 8 and side with 5 as one base. So they equal 13. Now do the same for the bottom.
So, 13 + 13 = 26
The right side is equal to the left side as it is a rectilinear figure, so the right side is 4 + 10 = 14. The left side is also 14.
So 14 + 14 = 28
26 + 28 = 54 units
Sorry, if I couldn't explain properly. I tried my best. As it is hard for me to explain in words. If I could draw it out, I could do better.
Answer:
45
Step-by-step explanation:
I broke the sections apart and then added:
14+14=28
13+13=26
26+28=54
If f(x) is a linear function, f(3)=1 and f(2)=5, what is the y-intercept? A) -4 B) 1 C) 3 D) 11 E) 13
Step-by-step explanation:
let the function be $y=mx+c$ since it is linear.
1=3m+c
and
5=2m+c
solve c to get the y intercept
URGENT PLEASE ANSWER !!
Answer:
(C) [tex]y = 2x+5[/tex]
Step-by-step explanation:
Looking at this graph, we can see that the slope of it is 2. We know this because for every time x increases by 1, y increases by 2.
We also know that the y-intercept of this graph is 5, since it intercepts the y-axis at the value 5.
We can easily create an equation with this info.
[tex]y = 2x + 5[/tex].
Hope this helped!
Answer:
C. y= 2x+5
Step-by-step explanation:
y=mx+b
(+b) is y- intercept
(mx) is the slope.
plot the y- intercept first which the line starts at (0,5)
since the slope isn't a fraction you turn it into one which would be
[tex] \frac{2}{1} [/tex]
Need to find the Domain and Range
Answer:
D: {x∈R | -2 ≤ x ≤ 2 }
R: {y∈R | 0 ≤ y ≤ 4 }
Step-by-step explanation:
The domain ranges between -2 and 2
The range ranges between 0 and 4
I will give brainliest to the right answer!! Find the vertex and the length of the latus rectum. x= 1/2 (y - 5)² + 7
Answer:
(7, 5)2Step-by-step explanation:
When the quadratic is written in vertex form:
x = a(y -k)^2 +h
the vertex is (x, y) = (h, k), and the length of the latus rectum is 1/a.
For your given equation, ...
x = (1/2)(y -5)^2 +7
you have a=1/2, k = 5, h = 7, so ...
the vertex is (7, 5)
the length of the latus rectum is 1/(1/2) = 2
The town of Madison has a population of 25000. The population is increasing by a factor of 1.12 each year. Write a function that gives the population P(t) in Madison t years from now. Do not use commas in your answer. P(t)=
Answer:
P(t)=25000(1.12)^t
Step-by-step explanation:
only answering so i can go back to not watching ads :/ but hope u dont get it wrong even tho i gave right answer
Answer:
P(t) = 25000 x 1.12^t
Step-by-step explanation:
25000 times 1.12 because it is increasing by a factor of 1.12.
A 51-foot wire running from the top of a tent pole to the ground makes an angle of 58° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not necessarily perpendicular to the ground.)
Answer:
35.11 ft
Step-by-step explanation:
This given situation can be thought of as triangle [tex]\triangle PQR[/tex] where PQ is the length of pole.
PR is the length of rope.
and QR is the distance of bottom of pole to the point of fastening of rope to the ground.
And [tex]\angle Q \neq 90^\circ[/tex]
Given that:
PQ = 44 ft
PR = 51 ft
[tex]\angle R = 58^\circ[/tex]
To find:
Side QR = ?
Solution:
We can apply Sine Rule here to find the unknown side.
Sine Rule:
[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
[tex]\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ[/tex]
Now,
[tex]\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ[/tex]
Let us use the Sine rule again:
[tex]\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft[/tex]
So, the answer is 35.11 ft.
