The inequality is y < 2x - 3 and the graph of the inequality is graph (a)
How to isolate y?The inequality is given as:
y + 2x < 4x - 3
Subtract 2x from both sides of the inequality
y < 2x - 3
The above inequality uses the < symbol.
This means that the line of the inequality is a dotted line, it is shaded to the right and it crosses the y-axis at y = -3
Hence, the graph of the inequality is graph (a)
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Find the 6terms of the series 247
The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.
To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.
Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.
The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.
Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.
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naina made a 10 layer multi strand ornament for her friend Diana. She used 45 beads for the first layer, 42 beads in the 2nd layer and 39 beads in the third layer. how many total beads did naina use to complete the ornament
Answer:
To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.
Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)
Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:
S = (n/2) x (a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:
S = (10/2) x (45 + 18) = 5 x 63 = 315
Therefore, Naina used a total of 315 beads to complete the ornament.
Answer:
The answer to your problem is, 1260
Step-by-step explanation:
Well we know she made 10 “ strand ornaments “ for each layers we would need to add;
45 + 42 + 39
= 126
We would actually then need to multiply it by 10. Shown:
126 × 10
= 1260
Thus the answer to your problem is, 1260
There are 165 deer in a state park. The population is increasing at the rate of 12% per year. Enter a prediction for how long it will take the population to reach 300. If necessary, round your answer to the nearest tenth.
The deer population will reach 300 in approximately _____
years.
What is 0.045 x 10-3 in scientific notation?
0.000045 this is the answer in scientific notation
In its January 25, 2012, issue, the Journal of the American Medical Association (JAMA) reported on the effects of overconsumption of low, normal, and high protein diets on weight gain, energy expenditure, and body composition. Researchers conducted a single blind, randomized controlled trial of 25 U.S. adults. All subjects were admitted to the inpatient metabolic unit for the duration of the trial (10 to 12 weeks). The subjects were healthy, weight-stable, male and female volunteers, aged 18 to 35 years. All subjects consumed a weight-stabilizing diet for 13 to 25 days. Afterwards, the researchers randomly assigned participants to diets containing various percentages of energy from protein: 5% (low protein), 15% (normal protein), or 25% (high protein). The subjects were not aware of the specific protein level diet to which they were assigned. On these diets the researchers overfed the participants during the last 8 weeks of their 10 to 12 week stay in the inpatient metabolic unit. Which of the following is used in the design of this experiment?
a. observational study.
b. experiment.
Answer:
b. experiment
Step-by-step explanation:
An observational study is one in which the researchers monitor the effect of a risk factor on subjects without introducing interventions for the purpose of noting differences in results. An experiment is mainly a randomized control trial where subjects are assigned to groups and chosen by chance. Interventions are also introduced by the researchers so as to note the different possible results within the groups and among participants.
The above-described process incorporates an experiment and that is why the researchers introduce protein level diet as interventions. It also employs the random assignment of subjects to different groups so as to improve the accuracy of the process.
Which sentence can represent the inequality
Help me out pls someone
Find the area of the shaded parts
Answer:
Total = 116 cm²
Step-by-step explanation:
Top-right rectangle:
area = length x width
= 6cm x 2 cm
= 12 cm²
Middle rectangle:
area = length x width
= 16cm x 4cm
= 64 cm²
Bottom-left rectangle:
area = length x width
= 10 x 4
= 40 cm²
Total = 12 + 64 + 40
= 116 cm²
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
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To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
4x+12y+4z=-16
12x-12y+8z=8
4x+12y-4z=0
x = 1, y = -1 and z = -2.
Here, we are given 3 equations-
4x+12y+4z = -16 ...(1)
12x-12y+8z = 8 ...(2)
4x+12y-4z = 0 ...(3)
Firstly, we add equations 1 and 2, we get,
4x + 12y + 4z + 12x - 12y + 8z = -16 + 8
16x + 12z = -8
4x + 3z = -2 ...(4)
Adding 2 and 3, we get,
12x - 12y + 8z + 4x + 12y - 4z = 8
16x + 4z = 8
4x + z = 2 ...(5)
Now, subtracting equation 4 from 5, we get-
4x + z - 4x - 3z = 2 + 2
-2z = 4
z = 4/-2
z = -2
Thus, 4x - 2 = 2
4x = 4
x = 4/4
x = 1
and 4(1) + 12y + 4(-2) = -16
4 + 12y -8 = -16
12y = -16 + 4
12y = -12
y = -12/12
y = -1
Thus, x = 1, y = -1 and z = -2.
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What is 10+3a pls help me pass
using 0-9 as digits,
which 2 digit number has order rotational of 2
which 3 digit number also has order rotational of 2
The value of 2 digit number has order rotational of 2 is, 16
And, The value of 3 digit number has order rotational of 2 is, 931
Now, For a two-digit number with an order rotational of 2, it means that if you flip the digits, you get a different but still valid number.
Hence, There are a few such numbers, but one example is 16 which becomes 61 when you flip the digits.
And, For a three-digit number with an order rotational of 2, it means that if you rotate the digits, you get a different but still valid number.
And, There are also a few such numbers, but one example is 319 which becomes 931 when you rotate the digits.
Thus, The value of 2 digit number has order rotational of 2 is, 16
And, The value of 3 digit number has order rotational of 2 is, 931
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4 + (m -n )^4 when m =7 and n = 5 whats the value ?
Answer:
20
Step-by-step explanation:
We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.
If this has helped please mark as brainliest
\(\huge\text{Hey there!}\)
\(\large\textsf{Equation:}\)
\(\mathsf{4 + (m - n )^4}\)
\(\large\textsf{Solving:}\)
\(\mathsf{4 + (m - n )^4}\)
\(\mathsf{\mathsf{= 4 + (7 - 5)^4}}\)
\(\mathsf{= 4 + (2)^4}\)
\(\mathsf{= 4 + (2\times2\times2\times2)}\)
\(\mathsf{= 4 + 2\times2\times2\times2}\)
\(\mathsf{= 4 + 4\times 4}\)
\(\mathsf{= 4 + 16}\)
\(\mathsf{= 20}\)
\(\large\textsf{Therefore, your answer should be:}\)
\(\large\boxed{\frak{20}}\large\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
I only need help with the f(0)= the equation is above all the rest is filled in thank you
f(0) = -3
I believe, since the graph has a closed circle/point at (0,-3), f(0) should equal -3. Also, the graph 3x-3 has a domain of x>=0.
However, in terms of limits, the limit approaching x-->0 does not exist since the left and right limits do not equal one another.
Hope this helps.
A half circle is joined to an equilateral triangle with side lengths of 12 units.Select all the expressions that correctly calculate the perimeter of the shape.
The perimeter of the figure described in the question is 42.84cm
How to get the perimeter of the figure?The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.
So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.
The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:
C = 3.14*D
In this case, the circumference of half circle is:
C = 3.14*D/2
Replacing the value of the diameter:
C = 3.14*12cm/2 = 18.84cm
Adding the two sides of the triangle we get the perimeter.
P = 18.84cm + 2*12cm = 42.84cm
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Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are n = 6 trials, each with probability of success (correct) given by
p=0.35. Find the indicated probability for the number of correct answers.
Find the probability that the number of correct answers is fewer than 4.
P(X<4)=0
(Round to four decimal places as needed)
Answer:
0.9830 = 98.30%
Step-by-step explanation:
How do I do number 2 and 4 please help
Answer:
2: 176.8mm
4: ?
Step-by-step explanation:
2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8
4: I can't see the problem, sorry :(
Answer:
2. 2461.8
4. 86.6
Explanation:
your formula for area is pi×radius^2
you are using 3.14 for pi
and your radius is half way across the circle or half the diameter.
2. 3.14×(28)^2
3.14×784
=2461.8
4.This one shows the diameter so you have to divide it by 2 first.
10.5/2=5.25
radius=5.25
3.14×(5.25)^2
3.14x27.5625
=86.6
I ROUNDED BOTH ANSWERS AT THE END
Evaluate the following, using the distributive property. (i) – 39 × 99
(ii) (– 85) × 43 + 43 × ( – 15)
(iii) 53 × ( – 9) – ( – 109) × 53
(iv) 68 × (–17) + ( –68) × 3
(v) 26 x (-48) + (-48) x 36
(vi) (-41) x 102
(vii)(-57) x (-19) + 5
Answer:
(i) - 33 × 99
= - 3267
(iii) 53 × ( - 9) - ( - 109) × 53
= - 477 + 109 × 53
= - 477 + 5777
= + 5300
(ii) (-85) × 43 + 43 × ( - 15)
= - 3655 + 43 - 645
= - 3655 - 645 + 43
= - 4300 + 43
= - 4257
the equation a=640 s gives the relationship between s square miles and a acres. Pam owns 4.5 square miles of farmland. how many acres does she own
Answer:
23
Step-by-step explanation:
im sorry i just want some points but look it up im sure youll figure it out !
how to write 403.225 in words and how do i get the answer. Thanks!!!!
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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Enter the missing values of the area model to find 5*355
Answer:
1775
Step-by-step explanation:
5 x 5 = 25
50 x 5 = 250
5 x 300 = 1500
25+250=275
275+1500=1775
Please help with this question
9514 1404 393
Answer:
(d) -1/32
Step-by-step explanation:
It may be easier to rearrange the expression so it has positive exponents.
\(\dfrac{1}{2^{-2}x^{-3}y^5}=\dfrac{2^2x^3}{y^5}=\dfrac{4(2)^3}{(-4)^5}=-\dfrac{4\cdot8}{1024}=\boxed{-\dfrac{1}{32}}\)
help me fast rapidly is of khan academy:
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIESTI need help on this
Answer:
(in order)
Size small shirts: 18, 36, 63, 1800
Size large shirts: 4, 8, 14, 200
Step-by-step explanation:
For every 9 small, there is 2 large, therefore if there is 18 small, then there is 4 large because there are two 9s in 18.
Hellooooooo I need help with this !!!!!
Answer:
c. 270m^3
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height.
6×5×9
30×9
270
A company has an 875 a employees on half price Wednesday 64% of the employees eat lunch at the company cafeteria how many employees eat lunch at the cafeteria on Wednesday
Answer:
560
Step-by-step explanation:
Number 14 thanks pls ASAP ASAP
Answer:
A
Step-by-step explanation:
As the standard deviation (σ) decreases, the width of the confidence interval _______________.
Answer:
increases
Step-by-step explanation:
The width of the confidence interval decreases as the sample size increases.
When there is the decrease in the standard deviation so the width of the confidential interval should be increased.
Given that,
There is the decrease in the standard deviation. We have to know the status of the confidence interval width.Based on the above information, the following information should be considered.
When the confidence interval width should be decreased because there is an increase in the sample size. Also, there is an inverse relationship between both of them.Therefore we can conclude that when there is the decrease in the standard deviation so the width of the confidential interval should be increased.
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