Step-by-step explanation:
number of bags=8bags
which is the fruits=apples and bananas
total number of apples and bananas bag = 4 bag of each
how to write an interval x -3
Step-by-step explanation:
We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].
If the volume of a sphere is 36t cubic units, what is the radius?
Answer:
Volume of sphere = 4/3 * π * r³
Since 36π = 4/3 * π * r³, r³ = 27 and r = 3.
Step-by-step explanation:
Helppp and explain too
Answer:
the first option
Step-by-step explanation:
I have attached the explanation. hope this help
What does the point (1994, 400) on the graph represent?
Answer: There are 400 tadpoles in the year 1994.
This is because any point is of the form (x,y) where in this case
x = year number
y = tadpole population number
So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.
In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.
From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.
Guys please help me if you don’t mind
Step-by-step explanation:
Step 1: The factors of -60 that add up to -11 are -15 and 4.
Step 2:
[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]
Step 3:
[tex]3x(2x - 5) + 2(2x - 5)[/tex]
[tex](3x + 2)(2x - 5) [/tex]
What is the value of the expression below
(-64)^2/3
Answer:
16
Step-by-step explanation:
[tex](-64)^2/3[/tex]
64 = [tex]2^{6}[/tex]
[tex]2^{6} ^{\frac{1}{3} } ^{2}[/tex]
[tex]2^{ 2^{2} }[/tex]
[tex]2^{4}[/tex]
16
A jet travels 832 km in 5 hours.at this rate,how far could the jet fly in 12 hours? What is the rate of speed of the jet
Answer:
1344.
Step-by-step explanation :
.
The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A jet travels 832 km in 5 hours.
Then the speed of the jet will be
Speed = 832 / 5
Speed = 166.4 km per hours
If the jet fly for 12 hours, then the distance cover will be
Distance = Speed x Time
Distance = 166.4 x 12
Distance = 1996.8 km
More about the speed link is given below.
https://brainly.com/question/7359669
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Let the universal set U = {weekdays}. If T = {Tuesday, Thursday}, what is T'?
Answer:Monday, Wednesday and Friday.
Step-by-step explanation:
It’s the other weekdays.
Find the domain of the following piecewise function.
Answer:
[tex](2,8][/tex]
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
[tex]2 < x < 4[/tex] [tex]4 < x < 8[/tex] and [tex]x \ge 8[/tex]
Combine the first two inequalities:
[tex]2 < x < 8[/tex] and [tex]x \ge 8[/tex]
For the inequality to be true, we must have:
[tex]2 < x \le 8[/tex]
In interval notation, the inequality is:
[tex](2,8][/tex]
solve the following simultaneous equations using SUBTITUTION METHOD
m+3n=7 and 5m-n=3
To check:put value of m and n in both equations
Answer: n=2 and m=1
Step-by-step explanation:
m+3n=7 , 5m-n=3
m=7-3n => 5(7-3n)-n=3
=> 35-15n-n=3
=> -16n=-32
=> n=2
n=2 => 5m-2=3
=> m=1
A particle is projected with a velocity of [tex]29.4ms^-^1[/tex] . Find it's maximum range on a horizontal plane through the point of projection.
A.88.2m B.44.1m C.32.6m D.29.4m E.14.7m
A.88.2m
Answer:
Solution given:
initial velocity[u]=29.4m/s
g=9.8m/s²
maximum range=?
now
we have
[tex]\theta=90°[/tex]
maximum range =[tex]\frac{29.4²*sin90}{9.8}=88.2m[/tex]
The initial velocity is,
→ u = 29.4 m/s
General assumption,
→ g = 9.8m/s²
→ θ = 90°
Then the maximum range is,
→ (29.4² × sin90)/9.8
→ 88.2 m
Hence, option (A) is answer.
Use a half-angle identity to find the exact value of Sin/8
a.
√2 + √2
√2+ √2
2
b. V2-E
d. √2-√2
2
Please select the best answer from the choices provided
Answer:
To solve this problem, we need to use the following two facts:
1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.
2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.
Since we know that 1 - √2 is a root of the quadratic equation, we can let:
r = 1 + √2
and
s = 1 - √2
Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.
Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.
Answer: D
Step-by-step explanation:
Let D be the event that a randomly chosen person has seen a dermatologist. Let S be the event that a randomly chosen person has had surgery for skin cancer. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.Select the correct answer below:A. P(D|S)B. P(D AND S)C. P(S) AND P(D)D. P(S|D)
Given:
D be the event that a randomly chosen person has seen a dermatologist.
S be the event that a randomly chosen person has had surgery for skin cancer.
To find:
The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.
Solution:
Conditional probability: Probability of A given B is:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Let D be the event that a randomly chosen person has seen a dermatologist.
Let S be the event that a randomly chosen person has had surgery for skin cancer.
Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).
Therefore, the correct option is D.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
3.8106327168
Step-by-step explanation:
x=2.5/sin(41) = 3.81063271676
Huilan's age is three times Thomas's age. The sum of their ages is 100. What is Thomas's age? 1 years old
Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
At the farmers' market, Lillian bought 5/12 of a pound of string beans and 1/12 of a pound of lima beans. How many more pounds of string beans did Lillian purchase?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/3 more pounds of string beans.
Step-by-step explanation:
Amount of string beans: 5/12 of a lbs(pound)
Amount of lima beans: 1/12 of a lbs
Amount of string beans - Amount of lima beans = 5/12-1/12 =4/12 which simplifies down to 1/3.
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.
The slope between two points (x₁,y₁) and (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).
Let's calculate the slopes:
The slope between (4, 30) and (12, 90):
Slope = (90 - 30) / (12 - 4)
= 60 / 8
= 7.5
The slope between (4, 30) and (10, 75):
Slope = (75 - 30) / (10 - 4)
= 45 / 6
= 7.5
As we can see, the slopes between the two sets of ordered pairs are the same.
Thus, the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Hence, the correct answer is the third option.
Learn more about the slope of the line here:
brainly.com/question/14511992
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An angle in standard position measures 5п 8 radians. In which quadrant does the terminal side of this angle lie? O Quadrant I II Quadrant Quadrant IIT Quadrant IV
Answer:
I've attached a picture of a unit circle with the quadrant labeled.
Calculate the degree of 5п 8 radians:
[tex]\frac{5\pi }{8} =\frac{5*180}{8} =\frac{900}{8} =112.5[/tex]
Locate the general location of 112.5° on the unit circle:
It's between 120°([tex]\frac{2\pi }{3}[/tex]) and 90°([tex]\frac{\pi }{2}[/tex]).
Find the quadrant it lies in:
Quadrant II
Please help me!
Look at this diagram.
Answer:
if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree
Step-by-step explanation:
for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree
Answer:
[tex]x=13\text{ and } y=5[/tex]
Step-by-step explanation:
First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:
[tex]m\angle BCD + m\angle DCE = 180[/tex]
And since we know that ∠BCD measures 130°:
[tex]m\angle DCE = 180-130=50^\circ[/tex]
And since ∠DCE and ∠BCA are vertical angles:
[tex]\displaystyle \angle DCE \cong \angle BCA[/tex]
Therefore, by definition:
[tex]m\angle DCE = m\angle BCA = 50^\circ[/tex]
Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:
[tex]m\angle A = m\angle B[/tex]
The interior angles of a triangle must total 180°. So:
[tex]m\angle A + m\angle B +m\angle BCA = 180[/tex]
Substitute in known values:
[tex]m\angle A + m\angle A+ (50)=180[/tex]
Simplify:
[tex]2m\angle A=130[/tex]
Divide both sides by two:
[tex]m\angle A = 65[/tex]
Substitute:
[tex](5x)=65[/tex]
Therefore:
[tex]x=13[/tex]
Similarly, for the triangle on the right, we can write that:
[tex]m\angle D + m\angle E + m\angle DCE = 180[/tex]
Substitute:
[tex](10y+5)+(6x-3)+(50)=180[/tex]
Combine like terms:
[tex]10y+6x+52=180[/tex]
Since we determined that x = 13:
[tex]10y+6(13)+52=180[/tex]
Simplify:
[tex]10y+130=180[/tex]
Therefore:
[tex]10y=50[/tex]
And by dividing both sides by 10:
[tex]y=5[/tex]
PLEASE HELP!!! I dont understand :(
Hello,
In all reply x²'s coefficient is 1.
The polynom will be (x+i)(x-5)= x²+ix -5x-5i
Answer C
Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !
Answer:
each member needs to put in 91.70 dollars in.
Step-by-step explanation:
you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.
then you divide by the amount of people which is three. so 275.1/3 and you get 91.7
Points (5,2), (1,0) and (a,5) lie on the same straight line. Then the value of a is a) 15 b) 13 c)11 d)9
Hello,
the line passing through (5,2) and (1,0) has for equation:
y-0=(x-1)*(-2)/(-4) or y=x/2-0.5
if y= 5 then 5=x/2-0.5 ==> 5.5=x/2 ==> x=11
Answer C
Answer:
C
Step-by-step explanation:
Since the points lie on the same line then the slope between consecutive points will be the same.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 2) and (x₂, y₂ ) = (1, 0)
m = [tex]\frac{0-2}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Calculate the slope again and equate to [tex]\frac{1}{2}[/tex]
with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (a, 5)
m = [tex]\frac{5-0}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] , so
[tex]\frac{5}{a-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
a - 1 = 10 ( add 1 to both sides )
a = 11
work out the area of a circle with a diameter of 1.8
what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each
[tex] {\bold{\red{\huge{\mathbb{QUESTION}}}}} [/tex]
what is the average cost of 7 articles if 3 of them cost 30k each and the rest cost 12.5k each
[tex]\bold{ \red{\star{\blue{GIVEN }}}}[/tex]
TOTAL NUMBER OF ARTICLE= 7
ARTICLES FOR 30K = 3
ARTICLES FOR 12.5K = 7-3= 4
[tex]\bold{\blue{\star{\red{TO \: \: FIND}}}}[/tex]
Average cost of 7 articles
[tex] \bold{ \green{ \star{ \orange{FORMULA \: USED}}}}[/tex]
[tex] \red{AVERAGE = \frac{TOTAL \: COST}{ NUMBER \: OF\: ARTICLES }}[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex]Average \: cost \: of \: 7 \: articles - > \\ \frac{(3 \times 30k) + (12 .5k \times 4)}{7} \\ \frac{90k + 50k}{7} \\ \frac{140k}{7} \\ \blue {Average \: cost \: of \: 7 \: articles - >} \\ 20k[/tex]
Solve for x. Thank you
Answer:
x = sqrt(3)
Step-by-step explanation:
Use Thales theorem
x²=3(4-3)x²=3(1)x²=3x=√3If a dairyman has 300 pounds of milk testing 3% butterfat, how many pounds of skimmed milk (with no butterfat) must he
remove to have milk testing 3.6% butterfat?
28.125 pounds
50 pounds
1.8 pounds
NEXT QUESTION
ASK FOR HELP
TURN ITIN
Answer:
B. 50 poundsStep-by-step explanation:
Set the equation and solve for x:
300*3/100 = (300 - x)*3.6/100900 = 1080 - 3.6x3.6x = 180x = 180/3.6x = 50 poundsCorrect choice is B
question 3 help pls in algebra
Answer:
50
Step-by-step explanation:
simplify the radical by breaking the redicand up into a product of known factors, assuming positive real numbers.
Cual de las siguientes fracciones es equivalente a 6/18
1/3
2/3
3/18
3/6
Answer:
the answer is going to be 1/3
HELPPPPPP i will give brainliest!!!!!
Answer:
10-5=5 answer is 8^5
Step-by-step explanation:
Answer:
[tex]8^{5}[/tex]
Step-by-step explanation:
[tex]\frac{8^{10} }{8^{5} }[/tex]
Where are there more 8's ?
top
How many more?
5
Then they stay on top of fraction.
Another way :
[tex]x^{a}[/tex] ÷ [tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]
[tex]8^{10}[/tex] ÷ [tex]8^{5}[/tex] = [tex]8^{10-5}[/tex] = [tex]8^{5}[/tex]
