Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x and y be two numbers.
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
Makoto and his friends rolled two fair number cubes 500 times and recorded the sum of the
numbers shown on the cubes each time. On 42 of the trials the sum was 10. Which of these is
most likely the probability that the sum of the numbers shown on the cubes is 10 when two
fair number cubes are rolled?
Pls help please explain it clearly pls
Answer:
25,050
Step-by-step explanation:
Which situation could this expression represent?
(4+6)×2
Sarah reads 4 pages in the morning and 6 pages at night for 2 days. What is the total number of pages that Sarah read?
Adisa reads 4 pages one day and reads 6 pages on each of the next 2 days. What is the total number of pages that Adisa read?
Tahir reads 4 pages in the morning and 6 pages at night one day. The next day Tahir reads 2 pages. What is the total number of pages that Tahir read?
Adwin reads 6 pages in the morning and 2 pages at night for 4 days. What is the total number of pages that Adwin read? (please hurry)
answer:24
Step-by-step explanation:
The use of BODMAS .We must solve the bracket first before the multiple
Answer:
Sarah reads 4 pages in the morning and 6 pages at night for 2 days. What is the total number of pages that Sarah read?
Step-by-step explanation:
If Sarah read 4 pages in the morning and 6 pages at night for 2 days the would equal 4+6x2
4 is the number of pages in the morning
6 is the pages at night
and 2 is the number of days that she read the pages
Carlos makes 1 pound of snack mix using nuts, raisins, and cereal. The list below shows how many pounds of nuts and raisins he uses
1/3 pound of nuts 1/5 pounds of raisins
how much cereal in pounds, does Carlos use?
VOLUME WITH PRISMS! Aubrey decides to estimate the volume of a coffee cup by modeling it as a right cylinder. She measures its height as 8.3 cm and its circumference as 14.9 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
The volume of the cup whose height is 8.3 cm and radius is 2.37 cm in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
Volume of cup by rounding off nearest tenth = 146.4 [tex]cm^{3}[/tex].
What is volume of Cylinder?
The volume V of a cylinder with radius r is the area of the base B times the height h .
V=Bh or V=π[tex]r^{2}[/tex]h
It is given that,
height= 8.3 cm
Circumference = 14.9 cm
By using the circumference we first find the radius of circular base or top,
Circumference of the circle = 2πr
14.9= 2 x 3.14 x r
14.9= 6.28 x r
r= [tex]\frac{14.9}{6.28}[/tex]
r= 2.37 cm
Hence, the radius of the circle is 2.37 cm.
Volume of cup( cylindrical shape ) = π[tex]r^{2}[/tex]h
= 3.14 x 2.37 x 2.37 x 8.3
= 26.062 x 5.616
= 146.364 [tex]cm^{3}[/tex]
= 146.4 [tex]cm^{3}[/tex] (nearest tenth)
The volume of the cup in cubic centimeters, by rounding off nearest tenth is 146.4 [tex]cm^{3}[/tex].
Learn more about Volume of cylinder here:
https://brainly.com/question/15891031
#SPJ1
can someone help me please
Answer:
3.A
4.D
Step-by-step explanation:
in 3, A is correct because it follows the rule in the picture attached. In question 4 D is not appropriate because log base 9 to the power 9 is equal to 1, but log base 9 to the power 4 + log base 9 to the power 5 is not 1
Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times in between equally likely. A) What is a probability that Chris changes a given tire in less than 9 min? b) What is the probability that it takes between 9 min and 11. 5 min? c) What is the probability that it takes exactly 10 min?
May I please get help?, Thanks.
Let's first try to figure out the whole. Looking at the number line, we can see that the shaded portion of the box goes up to 2 1/3. So, this is our first number.
Then, we need to figure out what 2 1/3 was divided by. This is pretty obvious from the groupings on the box. 2 1/3 was divided by 2/3.
2 1/3 divided by 2/3 = ?
Once again using the box and the groupings, we can see that 2/3 goes into 2 1/3 evenly 3 times, leaving 1/3 left over.
2 1/3 divided by 2/3 = 3 1/2
Correct Answer: A
Hope this helps!
it costs 42 dollars for 12 cookies how much is 1 cookie
Answer:
$3.50
Step-by-step explanation:
if you divide 42 by 12 you get 3.5
Can anyone help me with my homework
Answer:
2. -12, -3, 0, 36, -24
3. 0, 8, 13, 15, 9
p-by-step explanation:
Cody and Darry each improved their yards by planting day lilies and shrubs. They bought their supplies from the same store. Cody spent $84 on 2 day lilies and 6 shrubs. Darry spent $120 on 6 day lilies and 6 shrubs. What is the cost of one day lily and the cost of one shrub?
One lily is $9
One shrub is $11
Step-by-step explanation:
Let the lillies be x
Let the shrub be y
2x + 6y= 84.........i
6x + 6y = 120..........ii
Lets make x the subject formula in eq(I)
2x= 84- 6y
x = 42 - 3y........iii
Put the value of x into eq (ii)
6(42-3y) + 6y = 120
252 - 18y + 6y= 120
252 - 12y= 120
12y= 252-120
12y= 132
Y= 11
Put the value of Y into eq (I)
2x + 6(11)= 84
2x + 66= 84
2x= 18
X= 9
Therefore,the cost of one day lily is $9 and the cost of one shrub is $11.
There are 7 black cards and 13 red cards. The probability of selecting a red card will be
Answer:
0.65
Step-by-step explanation:
Add together 7 and 13: there are 20 cards.
Then the theoretical probability of selecting a red card will be:
13
------- = 0.65
20
Answer:
Step-0.65
by-step explanation:
A line passes through the point (-6, 9) and has a slope of 4/3. Write an equation in slope-intercept form for this line.
Answer:
y = 4/3x + 17 .
Step-by-step explanation:
Use the point-slope form of a line:
y - y1 = m(x - x1)
y - 9 = 4/3(x - -6)
y - 9 = 4/3x + 8
y = 4/3x + 17 <--------- Slope-intercept form.
What is the value of the 13th coefficient in the expansion of {(a + b)}^{15} ?
3,003
105
455
1,365
Step-by-step explanation:
the value of the 13th coefficient in the expansion of {(a + b)}^{15} :
(13-1)C15 = 12C15 = 15! / 3!. 12!
= 15×14×13×12! / 3×2×12!
= 2730/6
= 455
if 7 notebooks $3.85,what is the unit price of the notebooks
Answer:
0.55
Step-by-step explanation:
I think you would just divide the numbers
Solve for x
x = ?
Please hurry! I will give brainliest to correct answer!
Answer:
23.3786
Step-by-step explanation:
tan33° = x÷36
x = tan33°×36
x = 23.3786
Answer:
23.36
Step-by-step explanation:
We have three things on the diagram :
Angle = 33°Length of adjacent side = 36Length of opposing side = xWhen the opposing side length and adjacent side length is given, always use the tan ratio.
tan = opposite / adjacentFirst, find the numerical value of tan(33°)
tan(33°) = 0.6494 = 0.649Solving :
tan(33°) = x/36 = 0.649⇒ x = 0.649 x 36⇒ x = 23.364 = 23.36please someone help me with this exercise I don't understand it and I really need it
3. Two of the lines below are parallel. Which two? Justify your answer.
y= 3x - 5 y=-3x + 7 y - 3x = -12 y + 1/3x=8
Answer:
line 1 and 3
Step-by-step explanation:
Parallel lines have the same slope.
So if we're asked to identify a pair of parallel lines, we can just take a look at the slope (the number before x)
The first one is y=3x-5. Okay.
The second one is y=-3x+7. So the second line isn't parallel to the first line.
The third line is y-3x=12, or y=3x+12.
So the 3rd line is parallel to the 1st line :)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
This figure shows the dimensions of a rail car. The car forms a cylinder with a length of 24 feet and radius of 4 feet.
What is the volume, in cubic feet, of the car? Round your answer to the nearest hundredth.
Answer:
1206.857, cubic feet
Step-by-step explanation:
(22/7×4²)×24
=1206.857 cubic feet
What if there were only 200 days in a year? How many people would need to be in a room before the probability that two people shared a birthday exceeded 50%?
According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
ProbabilityTo determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:
200 days / 200 people = 200 / 200 = 1300 / 200 = 1.5301 / 200 = 1,505Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.
Learn more about probability in https://brainly.com/question/27272615
State whether the linear regression equation is appropriate for the data set. explain why or why not.
Answer:
not appropriate
Step-by-step explanation:
The values in the dataset increase, then decrease with incrasing values of the independent variable. A linear regresssion equation would match data with a (more or less) constant slope. It would not be a good match for this dataset.
A linear regression equation is not appropriate.
Anna and Jack make lemonade. Anna uses 2 cups of lemon juice with 9 cups
of
water. Jack uses 3 cups of lemon juice with 15 cups of water. Whose lemonade
has a stronger lemon taste?
Answer: Anna
Step-by-step explanation:
First, I will create proportions.
Anna: 2 lemon : 9 water
Jack: 3 lemon : 15 water
Next, I will simplify them.
[tex]\frac{2}{9}[/tex] = Already simplified
[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]
Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.
[tex]\frac{2}{9}[/tex] * [tex]\frac{5}{5}[/tex] = [tex]\frac{10}{45}[/tex]
[tex]\frac{1}{5}[/tex] * [tex]\frac{9}{9}[/tex] = [tex]\frac{9}{45}[/tex]
Which graph represents the solution to 7x < 21 or 6x – 9 > 21?
3
4
5
6
8
+
6
3
-2
-1
0
1
2
3
4
3
7
8
de
7
6
-5
4
3
-2
0
1
2
4
5
6
7
8
2
-1
0
1
2
6
Answer:
3 and 2 is the right answer and others are rongh
Ty and Leo are walking along linear routes in a city. On a map of the city, Ty's route passes through the coordinates (-1, 3) and (0, 1) and Leo's route passes through the coordinates (1, 4) and (0, 2). Will Ty and Leo pass through a common coordinate, walk along the same route, or never cross routes?
Answer:
Step-by-step explanation:
hello .....
note : the slope of the line (AB) is :
m = (YB -YA)/(XB - XA)
in this execice given A (-1, 3) and B(0, 1)
m1= (1-3)/(0+1) so : m1= -2
same method for the line (CD) : m2 = (4-2)/(1-0) and C(1;4) D(0;2)
so: m2 = 2
conclusion : m1 ≠ m2
Will Ty and Leo pass through a common coordinate,
Which graph represents the solution to the given system? Y=5x+4 and 5=5x-3
y = 5(x) + 4
for this function,
y-intercept: 4x-intercept:-0.85=5(x)-3
for this function,
y-intercept: nonex-intercept: 1.6What is the experimental probability of hitting a polka dot balloon or solid balloon
there are 18 solid balloons, 5 polka dot balloons and 17 striped balloons
Answer:
18 plus 5 plus 17 gives 40 therefore ; p is eq 23/40
Express the trig ratios as fractions in simplest terms.
Answer:
See below
Step-by-step explanation:
[tex]\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}[/tex]
Hence, both ratios are equal to each other
What decimal part of £1 is 40p?
Answer:
1/40 as a decimal is 0.025.
( Find the Mean Absolute Deviation and the Mean )
How many siblings do the students in my math class have?
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
Answer:
Mean Absolute Deviation (MAD): 1.3125
Mean: 2.5625
Step-by-step explanation:
.
The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?
4374
Step-by-step explanation:
We are multiplying by 3 each time
2*3 = 6
6*3 =18
18*3 = 54
The formula is
an = 2 * 3^(n-1) where n is the term number
a8 = 2 * 3^(8-1)
a8 = 2 * 3^7
a8 = 2*2187
a8 = 4374
Answer:
4374
Step-by-step explanation:
First term, a =2
Common ratio, r = 3
nth term = a.r^(n-1)
where , n is the number of terms
8th term = 2.(3)^(8–1)
=2(2187)
=4374
⇒ A geometric progression, sometimes termed a geometric sequence, is a series of integers in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.
a number is greater than 12
Answer:
anything above 12
Step-by-step explanation:
would be greater than 12. 13, 14, 16...etc
Answer:
n > 12
Step-by-step explanation:
Represent the number by n. Then "a number is greater than 12" expressed symbolically is n > 12.