Answer: 3t(9t + 5)
Step-by-step explanation:
Sure! Factoring involves breaking down an expression into simpler factors that, when multiplied together, give the original expression.
To factor 27t² + 15t, we can look for the greatest common factor (GCF) of the two terms. The GCF of 27t² and 15t is 3t, because both terms can be divided by 3t.
So we start by factoring out the 3t:
27t² + 15t = 3t(9t + 5)
Notice that we can check if the factorization is correct by using the distributive property to multiply the factor 3t by the expression inside the parentheses:
3t(9t + 5) = 3t(9t) + 3t(5) = 27t² + 15t
Therefore, 27t² + 15t can be fully factorized as 3t(9t + 5).
Find the slope of the line with a y-intercept = 4, passing through the point (2,8)
Answer:
8 = 2m + 4
2m = 4, so m = 2
So the equation of this line is y = 2x + 4.
D is the correct answer.
If the third and fourth term of an arithmetic sequence are -1 and -4, what are the first and second terms?
Answer: 5 and 2
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is constant. Since the third and fourth terms are -1 and -4, the common difference is -4 - (-1) = -3. Therefore, the second term is -1 - (-3) = 2 and the first term is 2 - (-3) = 5. So the first and second terms of the sequence are 5 and 2 respectively.
Please if you know the answer put the steps in there thank you.
Answer:
The market trader should sell each of the remaining 20 packs of muffins for £1.30 to meet his target.
Step-by-step explanation:
To find out how much the market trader needs to sell the remaining 20 packs of muffins, we first need to calculate his total cost and his target revenue.
The cost of the loaves of bread is:
100 loaves x 84p/loaf = £84
The cost of the packs of muffins is:
60 packs x £1.10/pack = £66
Therefore, the total cost for the trader is:
£84 + £66 = £150
To make a 40% profit, the trader needs to make £150 x 40/100 = £60 in profit.
His target revenue is, therefore:
£150 + £60 = £210
The revenue from the loaves of bread is:
100 loaves x £1.20/loaf = £120
The revenue from the 40 packs of muffins sold at £1.60 per pack is:
40 packs x £1.60/pack = £64
So the total revenue from the loaves of bread and the 40 packs of muffins is:
£120 + £64 = £184
This means that the trader needs to make:
£210 - £184 = £26
from the sale of the remaining 20 packs of muffins.
To sell 20 packs of muffins to make £26, he needs to sell each pack for:
£26/20 = £1.30 per pack
Therefore, the market trader should sell each of the remaining 20 packs of muffins for £1.30 to meet his target.
Calculate the area of a circle 4ft ,2in,18ft,5.2in,7.3in,14cm,9m,3m,9.2cm,7m,5m,6m
Answer:
Step-by-step explanation:
It seems like you have provided multiple measurements for the radius of the circle. I'm sorry, but a circle can only have one radius, so I am not able to calculate its area with the given information.
Please provide the correct measurement for the radius of the circle, and I will be happy to help you calculate its area.
When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow , how tall is a person if he casts a 1.5 foot shadow at the same time
The height of the person that cast a shadow of 1.5 foot is 6 foot.
How to solve proportional relationship?When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow. A person cast a shadow of 1.5 foot at the same time.
Therefore, the height of the person can be found by setting up a proportional relationship between the length of shadow and the actual height of the building and person.
Hence,
let
x = height of the person
Therefore,
100 / 25 = x / 1.5
cross multiply
25x = 100 × 1.5
25x = 150
divide both sides of the equation by 25
x = 150 / 25
x = 6
Therefore,
height of the person = 6 foot.
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Husk takes out a 3200 student loan at 6.7% to help him
Part (a) find the total amount interest that will accrue for loan 1(community college )
Part (b) find the total amount of intrest that will a cure for loan 2 state university
Part (c) find the total amount intrest that accrues until payment begin
(c) Total interest accrued until payments begin = $1023.33 (loan 1) + $2362.33 (loan 2) ≈ $3385.66.
How to solve(a) For loan 1, $3200 at 6.7% for 4 years and 7 months (4 years in college + 3 months deferment), the simple interest = 3200 * 0.067 * (55/12) ≈ $1023.33.
(b) For loan 2, $12,000 at 7.3% for 2 years and 7 months (2 years in college + 3 months deferment), simple interest = 12000 * 0.073 * (31/12) ≈ $2362.33.
(c) Total interest accrued until payments begin = $1023.33 (loan 1) + $2362.33 (loan 2) ≈ $3385.66.
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An agency wanted to study annual-sales distribution of 500 cottage industries of the same standard. Since the industries are located in different regions, it will be expensive to collect data from all 500 industries. Thus, the study is to be based on the sales of 75 industries which are selected to represent the whole. a) The agency summarized the collected data in tabular form, displayed it in graph and further found the average annual sales to be 36 thousand birr. What type of statistical technique is used here? b) The average sale of the 500 cottage industries is estimated to be 36 thousand birr based on the sample average. What type of statistical technique is used here?
The type of statistical technique used here is inferential
We are given that;
Annual-sales distribution of cottage industries of the same standard=500
Number of industries=500
Now,
a) The type of statistical technique used here is descriptive statistics, which involves summarizing, organizing, and presenting data in a meaningful way. Descriptive statistics can use tables, graphs, and numerical measures such as mean, median, mode, range, standard deviation, etc. to describe the main features and patterns of a data set.
b) The type of statistical technique used here is inferential statistics, which involves drawing conclusions or making predictions about a population based on a sample. Inferential statistics can use methods such as estimation, hypothesis testing, confidence intervals, regression analysis, etc. to make inferences about the population parameters from the sample statistics.
Therefore, by statistics the answer will be inferential.
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Between 2000 and 2015, the number of twin births in a certain country increased by 14%, to approximately 133,950 . About how many twin births were there in 2000? There were approximately ____ twin births in 2000.
Let the number of twin births in 2000 be x.
According to the problem, the number of twin births in 2015 increased by 14%, which means the number of twin births in 2015 is:
x + 0.14x = 1.14x
We also know that the number of twin births in 2015 is approximately 133,950, so we can set up the following equation:
1.14x = 133,950
Solving for x, we get:
x = 117,500
Therefore, there were approximately 117,500 twin births in 2000.
Find the missing value on the table below:
x y
2 4
? 6
4 8
What is the correct answer for 17? Plsss help
If lines m and n are parallel, then the value of x must be 4.
How to find the value of x?
If lines m and n are parallel, then the measures of the angles in the correspondent quadrants must be the same ones.
Here we can see that the two angles are in the third quadrant, thus, these angles have the same measure. Then we can write this as:
6x² = 96
Now we can solve this for x, we will get:
x² = 96/6
x² = 16
x = √16
x = 4
That is the value of 4.
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Which statement correctly describes confidence level? A confidence level is the probability that a simple event will occur. A confidence level is a value that is added and subtracted from a given value to give an interval where something will likely happen. A confidence level is the probability that something will fall outside of a confidence interval. A confidence level is the probability that something will fall within a confidence interval.
The statement which correct describe "confidence-interval" is (d) confidence level is considered as probability that something will fall within "confidence-interval".
A "Confidence-Interval" is a statistical term used to describe the amount of uncertainty associated with a sample estimate. It refers to the percentage of all possible samples that can be expected to include the true population parameter being estimated.
For example, if a study reports a 95% confidence level, it means that 95% of all possible samples would contain the true population parameter. This can be considered as the probability that the estimate falls within a certain range or interval, called the confidence interval.
Therefore, option (d) is the correct statement.
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The given question is incomplete, the complete question is
Which statement correctly describes confidence level?
(a) A confidence level is the probability that a simple event will occur.
(b) A confidence level is a value that is added and subtracted from a given value to give an interval where something will likely happen.
(c) A confidence level is the probability that something will fall outside of a confidence interval.
(d) A confidence level is the probability that something will fall within a confidence interval.
Answer:
A confidence level is the probability that something will fall within a confidence interval.
Step-by-step explanation:
Plato/Edmentum
From the following, calculate the cost of ending inventory and cost of goods sold for the weighted-average method, ending inventory is 59 units. (Round your intermediate calculations and final answers to the nearest cent.) Beginning inventory and purchases Units Unit cost January 1 4 $ 1.50 April 10 11 2.00 May 15 11 2.50 July 22 16 2.75 August 19 17 3.50 September 30 21 3.70 November 10 31 3.90 December 15 17 4.30
The cost of ending inventory using the weighted-average method is $198.24.
What is the cost of ending inventory?An ending inventory is often derived by adding new purchases to beginning inventory and then subtracting the cost of goods sold.
To calculate it using the weighted-average, we must compute the weighted average cost per unit and then multiply the weighted average cost per unit by the number of units in ending inventory to get the cost of ending inventory.
The total cost of goods available for sale is:
= (4 x 1.50) + (11 x 2.00) + (11 x 2.50) + (16 x 2.75) + (17 x 3.50) + (21 x 3.70) + (31 x 3.90) + (17 x 4.30)
= $430.7
The total units available for sale is:
= 4 + 11 + 11 + 16 + 17 + 21 + 31 + 17
= 128
The weighted average cost per unit is:
= $430.70 / 128 units
= $3.36484375
= $3.36
The cost of ending inventory will be:
= 59 units x $3.36
= $198.24
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Solve the following quadratic equation by completing the square. Simplify the solutions and rationalize denominators, if necessary.
3x^2−30x=−2
The solutions to this quadratic equation are x = √(73/3) + 5 or x = -√(73/3) + 5.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
3x² - 30x = -2
By dividing all through by 3, we have:
x² - 10x = -2/3
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = -2/3 + (-10/2)²
x² - 10x + 25 = -2/3 + 25
x² - 10x + 25 = 73/3
By simplifying, we have;
(x - 5)² = 73/3
x = √(73/3) + 5 or x = -√(73/3) + 5
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Which number is the greatest? 20 -100 -45 50
A cheetah was observed running at a speed of 24.9 m/s. Use the following facts to convert this speed to kilometers per hour (km/h). 1 km = 1000 m 1 min 60 sec 1 hour = 60 min
Answer: 89.64 kilometers per hour
Step-by-step explanation: Convert 24.9 meters per second into Kilometers per minute by multiplying by 1000 to get 0.0249 kilometers per minute, which gives you 1.494 kilometers per minute. Then, you must convert this to kilometers per hour by multiplying by 60 to get 89.64 kilometers per hour
f ( x ) = 12 ( 7 ) x using base e
campaign. Evaluate how community respond to women and children in (3x4)(12) light of the following aspects: Bill of Rights Discrimination Human Rights Violations ■ . B
The community's response to women and children in light of the Bill of Rights, Discrimination, and Human Rights Violations should prioritize the protection and promotion of their rights and freedoms.
Now, The evaluation of community response to women and children in the context of Bill of Rights, Discrimination, and Human Rights Violations can be done as follows:
Bill of Rights:
The Bill of Rights guarantees certain rights and freedoms to all individuals regardless of their gender or age. Therefore, any discrimination or violation of women and children's rights would be a direct violation of the Bill of Rights. The community must ensure that women and children are not denied their right to life, dignity, equality, and freedom from all forms of violence and exploitation.
Discrimination:
Discrimination against women and children is a prevalent issue in many societies. Women and children are often subjected to discrimination on the basis of their gender, age, race, religion, or socio-economic status. The community should work towards eliminating all forms of discrimination against women and children and provide them with equal opportunities in all spheres of life.
Human Rights Violations:
The community must also ensure that the human rights of women and children are protected. Human rights violations against women and children can include physical and emotional abuse, sexual harassment and assault, child labor, child marriage, and human trafficking, among others. The community must take a strong stance against such violations and work towards preventing and punishing the perpetrators.
In conclusion, the community's response to women and children in light of the Bill of Rights, Discrimination, and Human Rights Violations should prioritize the protection and promotion of their rights and freedoms. Any form of discrimination or violation of their rights should be condemned and punished to ensure that women and children are safe and empowered members of society.
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A regular heptagon has a side of approximately 3.9 yd and an apothem of approximately 4.0 yd.
Find the area of the heptagon
Answer:
54.6 square yards
Step-by-step explanation:
For any regular polygon, the area of the polygon is given by:
[tex]A_{regular~polygon}=\frac{1}{2}nsa[/tex], where
n is the number of sides of the polygon, s is the side length of the polygon, and a is the length of the apothem.Heptagons are 7-sided polygons, so n=7.
The length of a side and the apothem are given, so substitute and calculate:
[tex]A_{heptagon}=\frac{1}{2}(7)sa[/tex]
[tex]A_{heptagon}=\frac{1}{2}(7)(3.9~yd)(4.0~yd)[/tex]
[tex]A_{heptagon}=54.6 ~yd^2[/tex]
Justine is enrolled in an SAT prep class at the Oakdale Community Center. The community
center is 1.4 miles away from Justine's house. On a map of Oakdale, this distance is
represented by 1 inch. What is the scale of the map?
Write your answer in simplest form using whole numbers.
inches:
miles
Answer:
1.4:1
= 14:10
= 7:5
Hence, ans is 7:5
Hope it helps, please mark me as brainliest...
# 27
2
G
A
1 2 3
2
7.G.B.6
1,7
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The
volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet
by 1.5 feet. The delivery truck measures 11 feet by 8 feet and is 6 feet tall.
Johnny puts planting soil in the delivery truck until the truck is 70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow
until the delivery truck is 70% full?
He will need to use the wheelbarrow at least 41 times to fill the delivery truck to 70% of its capacity.
Define volumeVolume is a measure of the amount of space that a substance or object occupies in three dimensions. It is typically measured in units such as cubic meters (m³), cubic centimeters (cm³), liters (L), or gallons (gal), depending on the system of measurement being used.
First, let's calculate the total volume of the delivery truck:
Volume of delivery truck = length x width x height
Volume of delivery truck = 11 ft x 8 ft x 6 ft
Volume of delivery truck = 528 cubic feet
To fill the delivery truck to 70% of its capacity, Johnny needs to put 0.7 x 528 = 369.6 cubic feet of planting soil in the truck.
Now, let's calculate the volume of planting soil that fits in the wheelbarrow:
Volume of wheelbarrow = length x width x height
Volume of wheelbarrow = 2 ft x 3 ft x 1.5 ft
Volume of wheelbarrow = 9 cubic feet
Number of loads = Total volume of planting soil needed / Volume of each load
Number of loads = 369.6 cubic feet / 9 cubic feet
Number of loads = 41.0666667
Since Johnny cannot use a fraction of a load, he will need to use the wheelbarrow at least 41 times to fill the delivery truck to 70% of its capacity.
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Question 6 of 10
True or false? If you took a true "if-then' statement and reversed the clauses,
the new statement would also be true.
OA. True
OB.
False
The statement that "if you took a true "if-then' statement and reversed the clauses, the new statement would also be true" is False.
Why is this false ?By reversing the clauses within an accurate "if-then", one will manifest a new statement known as the "converse" of the initial formula. Though, it is not inevidably true.
For instance, if the original expression was "If it rains, then the ground gets wet", its converse is "If the ground gets wet, then it rains". Unfortunately, that specific converse has the potential to be incorrect since there are several other methodologies from which the land can gain moisture beside rain (e.g. sprinkler system, someone unintentionally pouring water, etc.).
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Correct answer gets brainliest!!!!
Answer:is b
A line segment has both of its end-points fixed and so it has a definite length.
Step-by-step explanation:
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When -3 (row 1) is added to row 2, the result would be [ 1 - 4 | 8 ]
[ 0 10 | 10 ].
How to add the matrix ?The first thing to do is to multiply each element in row 1 by - 3 :
- 3 x 1 = - 3
- 3 x - 4 = 12
- 3 x 8 = - 24
Then, we need to add the result to the elements in row 2:
3 + ( - 3 ) = 0
- 2 + 12 = 10
10 + ( - 24 ) = - 14
The resulting matrix would therefore be:
[ 1 - 4 | 8 ]
[ 0 10 | - 14 ]
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12 A quality control inspector at a plant has found the probability of randomly selecting a defective
battery from a batch of batteries being produced is 0.02. The probability of rain that day has been
projected to be 0.75. If these two events are independent, what is the probability that on that particular
day, it rains, and the inspector chooses a defective battery from the batch being produced?
(1) 0.77
(3) 0.015
(2) 0.5
(4) 0.95
Answer:
The answer is (3) 0.015.
Step-by-step explanation:
This is because to find the probability of finding both independent events happening at the same time, we must multiply them.
The independent events are:
- Randomly selecting a defective battery: 0.02
- Raining tomorrow: 0.75
0.02 x 0.75 = 0.015
Therefore, the answer is (3) 0.015.
A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.
H0:β1=0Ha:β1≠0
The test yielded a t
t
-value of 3.34 with a corresponding p
p
-value of 0.001. Which of the following is the correct interpretation of the p
p
-value?
The correct interpretation of the p-value is 3.34.
We are given that;
t-value=3.34
Number of customers= 200
Now,
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming that the null hypothesis is true. In this case, the p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if the true slope of the linear relationship between the two ratings is zero. The p-value is very small, which indicates that the data provide strong evidence against the null hypothesis and in favor of the alternative hypothesis.
The p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if there is no linear relationship between the two ratings.
Therefore, by probability the answer will be 3.34
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Anyone know how to find the radius when given this?
Answer:
The radius is 26 units--------------------------
As per given, the distance from the center to both of the chords is same, therefore both chords have same length:
JK = ML4x = 6x - 246x - 4x = 242x = 24x = 12The length of each chord is:
4*12 = 48 unitsUse Pythagorean theorem to find the radius, the distance from the center to one end of the chord:
[tex]QM=\sqrt{QP^2+MP^2}[/tex][tex]QM=\sqrt{10^2+(48/2)^2}=\sqrt{100+576}=\sqrt{676} =26\ units[/tex]A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium.
Solve for w.
w − 5
4
= 2
The value of the variable w is 56
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of terms, variables, factors, coefficients and constants.
Also, algebraic expressions are made up of mathematical or arithmetic operations, such as;
AdditionBracketSubtractionParenthesesMultiplicationDivisionFrom the information given, we have the algebraic equation as;
w - 54 = 2
To determine the value of the variable, we take the steps;
collect the like terms
w = 2 + 54
Now, add the values
w = 56
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HELP PLS 65.1 + WHAT = 100 !!!
Answer: 34.9
Step-by-step explanation: 100 - 65.1
What is the mean of 10, 10, 9, 9, 10, 8, 9, 10, 8, 0
Answer:
83
Step-by-step explanation:
Add them all together and then divide by 10 (which is the number of digits there are)
Answer:9.125
Step-by-step explanation: