Answer:39%
Step-by-step explanation:
Use the distributive property to expand the following expression.
-2 (2.1x + 3y - 1.8)
Answer:
- 4.2x - 6y + 3.6
Step-by-step explanation:
- 2(2.1x + 3y - 1.8)
- 4.2x - 6y + 3.6
Answer:
-4.2x+6y-2.16
Step-by-step explanation:
multiply everything by -2
How do I solve this problem?
========================================================
Explanation:
The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.
The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.
We can say:
second term = (first term) + (common difference)
second term = [tex]a_1 + d[/tex]
second term = 21 + (-3)
second term = 18
Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.
The arithmetic sequence would be: 21, 18, 15, 12, 9, ...
The first three terms are 21, 18, and 15.
2w^2 - 15w + 19 = 0
Quadratic Formula
Answer:
x=5.886 , x=1.614
Step-by-step explanation:
Given data
2w^2 - 15w + 19 = 0
a= 2
b= -15
c= 19
The expression for the Quadratic Formula is
x=(-b±√(b²-4ac))/(2a)
substitute
x=(-(-15)±√((-15)²-4*2*19))/(2*2)
x=(15±√225-152))/(4)
x=(15±√73))/(4)
x=(15±8.544))/(4)
x=(15+8.544))/(4) , x=(15-8.544))/(4)
x=23.544/4 , x=6.456/4
x=5.886 , x=1.614
60 out of 1240 fruit trees are poisonous. What percent of trees are poisoned? Round to the nearest tenth.
Answer:
4.8
Step-by-step explanation:
Answer:
4.8%
Step-by-step explanation:
to do this create a ratio and cross-multiply
[tex]\frac{60}{1240} = \frac{x}{100}[/tex]
now that we have a our ratio, where x = the percent of poisonous trees, we can cross-multiply and solve to find its value
cross-multiplying leaves you with
[tex]1240x=6000[/tex]
now solve for x, dividing both sides of your equation by 1240
once you've divided, you should be left with
[tex]4.8[/tex]
since this number is already out of 100, it is equivalent to your percent, so slap a percent sign on the end and you're done!
Two tugboats that are 118 ft apart pull a barge, as shown. If the length of one cable is 206 and the length of
the other is 227, find the angle formed by the two cables.
Answer:
26.903
Step-by-step explanation:
a = 77 m
b = 72 m
c = Distance between the tugboats = 35 m
14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
what is the value of x in 40,000 = 10x g?
Answer:
x=4000
Step-by-step explanation:
Answer:
4,000 = x
Step-by-step explanation:
40,000 = 10x
=> Divide 10 to each side of "="
40,000/10 = x
4,000 = x
Hope this helps!
What is the midpoint of AB when A (-2, 5) and B (4, -5)?
Answer:
Answer attached
Step-by-step explanation:
Midpoint of AB = (1,0)
Let's check
midpoint of AB
(-2+4/2,5-5/2)(2/2,0/2)(1,0)BC=
Round your answer to the nearest hundredth
In a group of 101 students 40 are juniors, 50 are female, and 22 are female juniors. Find the probability that a student picked from this group at random is either a junior or female.
a) 90/101
b) 22/101
c) 68/101
d) 40/101
Answer:
I would say A. as a best guess but the question is odd it does not add up to 101 students it adds up to 101 plus all of them are female juniors so they would be picked every time it would be 101/101
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1
Answer:
The median of the distribution is (first option);
1
Step-by-step explanation:
The values on the given table are presented as follows;
[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The median value of the distribution of X is 1
How to determine the median?The cumulative probability of the distribution is:
[tex]\sum E(x) = 1[/tex]
The median position is calculated as:
[tex]Median = \frac{\sum E(x)}{2}[/tex]
This gives
[tex]Median = \frac{1}{2}[/tex]
Median = 0.5 th
This mean that the median is at the 0.5th position
The value of the spin at the 0.5th position is 1
Hence, the median value of the distribution of X is 1
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which of the following are solutions to the equation below
Answer:
B & F
Step-by-step explanation:
(±√14 - 4)/3 =>
(√14 - 4)/3 or (-√14-4)/3
A jar contains 7 red marbles, 9 blue marbles and 3 green marbles. Christopher wins if he picks a blue marble and Janet wins if she picks a red marble. Is this game fair? Why or why not?
No, the game is not fair because Christopher has a higher probability of winning than Janet.
Yes, the game is fair because Christopher and Janet do not have an equal probability of winning.
No, the game is not fair because Janet has a higher probability of winning than Christopher.
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
Answer:
No, the game is not fair because Christopher has a higher probability of winning than Janet.
Step-by-step explanation:
christopher's probability: 9/19
janet probability: 7/19
A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.
Answer:
1512
189 in³
Step-by-step explanation:
Here is the complete question
A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.
a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?
b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box
A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box
volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³
volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³
189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512
b. 1/8 x 1512 = 189 in^3
1. 2(x+3)
2. 5(2x-4)
3. 4(2x-4)
4. 6(x-4y)
what are the answers for these
Answer:
1.) 2x + 6
2.) 10x - 20
3.) 8x - 16
4.) 6x - 24y
Hope this helps!
I believe that you would need to distribute the numbers outside of the parentheses (2,5,4,6) into the parentheses.
2(x+3)=
2x+6
5(2x-4)=
10x-20
4(2x-4)=
8x-16
6(x-4y)=
6x-24y
Simplify this expression to standard form: -3(2x -4) - 2
Answer:
−6x + 10
Step-by-step explanation:
- (−3) (2x) + (−3) (−4) + −2
- −6x + 12 + −2
- (−6x) + (12 + −2)
= −6x + 10
Ahh I forgot how to do this HELP ASAP PLZZ
Answer:
The answer is C!
Step-by-step explanation:
1. Which of the angles below are supplementary?
Answer:
<3 and <4
Step-by-step explanation:
A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?
Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10
Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).
Please help me, i am in need of a smart person to help with my homework
Answer: The Answer is A
Step-by-step explanation:
HELPPPOOPOPPPP!!!! PLEASE
The answer is....................................................
Alonzo runs each lap in 6 minutes. He will run at most 30 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer:
N= 5
Step-by-step explanation:
30 ÷ 6 = n
n = 5
30 ÷ 6 = 5
Hope this helps!!
Find the vertex of the parabola whose equation is y=-2x^2+8x-5. (2,27), (2,19), (2,3)
Answer:
Vertex of the parabola is (2,3)
Step-by-step explanation:
The parabola is a negative, it opens down and the maximum place it can reach is 3 (y).
1. Find the measure of arc ABC
please show ur work
Is there arc length or may be radius
2
Which point on this number line best represents 10?
point A
point B
point C point D
Answer:
probably 5 because thats half of 10 i guess
Step-by-step explanation:
Help, Perhaps? this one has me kinda stumped, i know its prob easy, im just not to big brain rn lol :Sweat_emoji:
Answer:
Step-by-step explanation:
g
Answer: G
Step-by-step explanation: hope this helps!
Jessica’s bill last month was $77.00. Use the equation you wrote in Exercise 3 to find the number of text messages Jessica sent last month. Show your work. 19 POINTZZZZ
please help this on is hard
Answer:
pic monga ulit ang labo kasi wh
p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .
On what interval must x fall?
a) [−4/3, −60/47]
b) [-2, −4/3]
c) [−2, [infinity])
d) (−[infinity], −4/3)
Please Help!!
Answer: (b)
Step-by-step explanation:
Given
[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]
[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]
[tex]\left | p+q\right |=2x+4[/tex]
for two complex number, [tex]z_1,z_2[/tex]
[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]
Apply the above the property
[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]
Also, the absolute value of each complex number must be greater than or equal to zero
[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]
Taking the intersection of the above values of x, we get
[tex]x\in [-2,-\dfrac{4}{3}][/tex]
) Which object's liquid volume is best measured in milliliters? Bathtub, Milk carton, big spoon or small fish tank
Answer:
big spoon
Step-by-step explanation:
The Big spoon liquid volume is best measured in milliliters.
Given that;
The objects are,
''Bathtub, Milk carton, big spoon or small fish tank''.
We have to find the best objects liquid volume to measured in milliliters.
How to find the appropriate unit for measurement?
Normally we use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
The volume of Bathtub, Milk carton, and small fish tank is more than the volume of big spoon.
And, The volume of liquid in Bathtub, Milk carton, and small fish tank is has usually measured in liters because it contain more liquid in comparison Big spoon.
Volume of liquid in a big spoon is measured suitably if we use milliliter. It is because the big spoon contains liquid with volume few milliliters or few hundred milliliters.
Hence, We use milliliters for measuring liquid in big spoon.
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