Answer:
X=1
Step-by-step explanation:
For step one you have to Distribute
2x-1(4x+3)=-7x+2 --> 2x-4x-3=-7x+2
For step two you have to Combine Like Terms
2x-4x-3=-7x+2 --> -2x-3=-7x+2
For step three you have to Add Three To Both Sides
-2x-3=-7x+2 --> -2x=-7x+5
For step four you have to Add 7x To Both Sides
-2x=-7x+5 --> 5x=5
For step 5 you have to Divide Both Sides By The Same Factor (5)
5x=5 --> x=1
Hope This Helps!
What is the discriminant of 2x² + 5x - 7 = 0?
[tex]d= \sqrt{ {5}^{2} - 4 \times 2 \times ( - 7) } \\ d= \sqrt{25 + 56} \\ d = \sqrt{81} \\ d = 9[/tex]
PLEASE HELP!!! 10 PTS!!!!!
what is the range of the function y = -3/4x + 3/2 when the domain is {-6,-2,6}
Answer:
the range of the function y = -3/4x + 3/2 when the domain is {-6,-2,6} is {15/4, 3, -3/4}. The range is the set of all possible values of y for x in the given domain, which includes the values 15/4, 3, and -3/4.
Step-by-step explanation:
The range of a function is the set of all possible values of the output (y) for a given set of inputs (x). To determine the range of the function y = -3/4x + 3/2 when the domain is {-6,-2,6}, you can plug in each value from the domain into the function and solve for y.
When x = -6, y = (-3/4)(-6) + 3/2 = 9/4 + 3/2 = 15/4.
When x = -2, y = (-3/4)(-2) + 3/2 = 3/2 + 3/2 = 3.
When x = 6, y = (-3/4)(6) + 3/2 = -9/4 + 3/2 = -3/4.
how long in minutes will the energy in an 871 kj (208 kcal) cup of yogurt last in a woman doing work at the rate of 155 w with an efficiency of 20.0% (such as in leisurely climbing stairs)?
The energy in an 871 KJ cup of yogurt will last for 18.71 minutes .
In the question ,
it is given that ,
efficiency is = 20% = 0.20 .
the rate of work is 155W ,
we know that Efficiency = [tex]\frac{E_{obtain} }{E_{consumed} }[/tex]
substituting the values ,
we get ,
[tex]E_{consumed}[/tex] = 155/0.20
= 775 J/sec .
This means that for work of 155W it require to consume energy at the rate of 775 J/sec .
we know that the formula for time , energy and rate is
Time = Energy/Rate
time = 871000/775
= 1123 seconds
= 18.71 minutes
Therefore , The energy in the yogurt will last for 18.71 minutes .
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If x^2=a. For what values of a are there: 2 solutions or 1 solution or No solutions
Use at least 2 examples in each part to explain your answer. You must include further reasoning to justify your answer but do not write more than 1 page in total.
There are two solutions if a is positive, one solution if a is 0, and no solutions if a is negative.
How to determine for what values of a are there 2 solutions or 1 solution or No solutions?If x² = a, then x can be either positive or negative.
Thus, there are two solutions if a is positive, one solution if a is 0, and no solutions if a is negative.
Example 1: a = 9
If a = 9, then x² = 9,
so x can be either 3 or -3.
Thus, there are two solutions in this case: x = 3 or x = -3.
Example 2: a = 0
If a = 0, then x²= 0,
so x can only be 0.
Thus, there is one solution in this case: x = 0.
Example 3: a = -4
If a = -4, then x² = -4, which is not possible because the square of a real number cannot be negative.
Thus, there are no solutions in this case.
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billie has 2 [tex]\frac{1}{4}[/tex] bars of chocolate she eat 5/8 of a bar how much does she have left. give your answer as a mixed number in its simplest form
Answer:
1 5/8
Step-by-step explanation:
9/4x2/2=18/8
18/8-5/8=13/8,
so the answer will be 1 5/8, yes!
La masa de un electrón es aproximadamente
9.7x10^-31 kilogramos.
La
masa de un protón es aproximadamente
1.7x10^-27 kilogramos.
Aproximadamente
, ¿cuántas veces mayor es la masa de un protón que la masa de un electrón?
The mass of a proton is 0.18 x 10⁴ times the mass of an electron.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that mass of an electron is approximately 9.7 x 10⁻³¹ kilograms and the mass of a proton is approximately 1.7 x 10⁻²⁷ kilograms.
It is given that -
mass of electron = m{e} = 9.7 x 10⁻³¹ kilograms.
mass of proton = m{p} = 1.7 x 10⁻²⁷ kilograms.
Assume that the mass of a proton is [K] times the mass of an electron. So, we can write -
m{p} = K m{e}
K = m{p}/m{e}
K = (1.7 x 10⁻²⁷/9.7 x 10⁻³¹)
K = (1.7/9.7) x (10⁴)
K = 0.18 x 10⁴
Therefore, the mass of a proton is 0.18 x 10⁴ times the mass of an electron.
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{Question in english language -
The mass of an electron is approximately 9.7 x 10^-31 kilograms. The mass of a proton is approximately 1.7 x 10^-27 kilograms. About ,how many times greater is the mass of a proton than the mass of an electron?}
if it takes 9 days for 4 workers to build a garage how long would it take 3 workers
Answer: 6 days and 18 hours
Step-by-step explanation: 9/4=1.25 1.25x3=6.75 and so on
what are the steps to -3+7x-9+8x=54
Answer: 67/15
Step-by-step explanation:
-3+7x-9+8x=54
-12 + 15x = 54
15x = 67
x = 67/15
determine which integers will make the inequailty 5x 6 < 2x 15 flase
The value of x (B) 5 makes the inequality 5x + 6 ≤ 2x + 15 FALSE.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.
The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.
So, we have the inequality:
5x + 6 ≤ 2x + 15
Now put the given values and check as follows:
(A) -2
5x + 6 ≤ 2x + 15
-10 + 6 ≤ -4 + 15
-4 ≤ 11
TRUE
(B) 5
5x + 6 ≤ 2x + 15
25 + 6 ≤ 10 + 15
31 ≤ 25
Correct: 31 > 25
FALSE
Therefore, the value of x (B) 5 makes the inequality FALSE.
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Complete question:
Determine which integer will make the inequality 5x + 6 ≤ 2x + 15 false.
a:{−2}
b:{5}
c:{2}
d:{−5}
As shown in the diagram below, ABC is parallel to EFG and BF is congruent to EF. SCBF equals 42. 5° then EBF is...
Considering the figure angle EBF is calculated to 68.75 degrees
How to find the < EBFExamining the figure and noting the parallel lines
< CBF = < BFE (alternate angels postulates)
< CBF = 42.5
< BFE = 42.5
Triangle BFE is an isosceles triangle given that the two sides are equal the base angles are also equal
Therefore, applying sum of angels of a triangle = 180 we have
< BFE + < FEB + < EBF = 180 (sum of angles of a triangle)
< FEB = < EBF (base angles of isosceles triangle)
let < FEB = x
42.5 + x + x = 180
42.5 + 2x = 180
2x = 180 - 42.5
2x = 137.5
x = 68.75
angle < EBF is solved to be 68.75
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a. Lin is using the diagram to prove the statement, "If a parallelogram has
one right angle, it is a rectangle." Given that EFGH is a parallelogram
and angle HEF is a right angle, write a statement that will help
prove angle FGH is also a right angle.
The statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.
Given:
EFGH is a parallelogram and ∠HEF is a right angle.
Then ∠FGH is also right angle.
Since opposite angles in a parallelogram are congruent.
Hence, the statement that will help prove angle FGH is also a right angle is opposite angles in a parallelogram are congruent.
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Kara compared the number of text messages 100 students sent in one day and the grade point average (GPA) of each student. The correlation coefficient among the
data is -0.9 rounded to the nearest tenth. Based on this information, which statement is MOST likely true?
OA. There is correlation but not causation between GPA and the number of text messages.
B. There is causation but not correlation between GPA and the number of text messages.
OC There is both correlation and causation between GPA and the number of text messages.
D. There is neither correlation nor causation between GPA and the number of text messages.
There is correlation but not causation between GPA and the number of text messages. that is option A is correct.
The correlation coefficient is defined.How one variable changes in relation to another is indicated by the correlation coefficient. A score of 1 shows a complete positive correlation, with a positive correlation being one where both variables move in the same direction. While 0 indicates there is no linear connection, a number of -1 indicates a complete negative correlation.
Given to us is that The data have a -0.9 correlation coefficient.
That is, there is a significant inverse relationship between the quantity of texts and each student's grade point average (GPA).
Hence, choice A is right.
There is correlation but not causation between GPA and the number of text messages.
option B,C,D are incorrect because we know that correlation does not imply causation that is correlation does not imply a cause and effect between the two variable. correlation between variables means that relationship between two variables not the change in one variable , is the cause of the change in the variable. causation indicates that one event is the result of the occurrence of the other event.
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Express each set in roster form. You may need to use the internet or some other reference source. C={x|x+6=10}
The roster form of the set C={x|x+6=10} is C={4}
A set is mathematically represented in a straightforward way using roster notation. The components (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set comprises more than one element, a comma is used in a roster notation to indicate the separation of every two elements. Since each person is counted separately, the roster form is also known as an enumeration notation.
In the given set, the value of x is such that when it is added with 6 the result is 10.
∴x+6=10⇒x=10-6=4
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3) which of the following is true regarding the normal distribution? a) the mean, median, and mode are all equal. b) it has two modes. c) it is asymmetrical. d) the points of the curve meet the x-axis at z
In case of a normal distribution, the mean, median, and mode are equal . So option A is correct
What is normal distribution?
The most significant continuous probability distribution in probability theory and statistics is the normal distribution, also referred to as the gaussian distribution. On occasion, it is referred to as a bell curve.
The probability distribution of data is expressed mathematically as a normal distribution. It is symmetrical from both ends and has only one mode. The equal mean, median, and mode of the given data are highlighted by the normal distribution.
The options are b) It has two modes. c) It is asymmetrical. and d) the points of the curve meet the x-axis at z are incorrect.
Therefore, The correct option is A, the equal mean, median, and mode of the given data are highlighted by the normal distribution.
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Answer this question please!
Answer:
i can understand your problem
Answer: 8 hours
Step-by-step explanation:
speed = distance/time
time = distance/speed
[tex]time = \frac{680-80}{75} \\time = \frac{600}{75}\\ time = 8hours[/tex]
Solvex² - 5x 24 = 0 by factoring.
The solutions are x =
and x =
x = 8 , -3 are the factor of x .
What is factor ?
The definition of a factor is a number that divides another number by itself with no remainder. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them.
Factors are the figures that can divide an amount precisely. There is therefore no residual after division.
x² - 5x - 24 = 0
x² - ( 8 - 3 )x - 24 = 0
x² - 8x + 3x - 24 = 0
x(x - 8 ) + 3 ( x - 8) = 0
( x + 3 ) ( x - 8 ) = 0
x = 8 , -3
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The complete question is -
x² - 5x - 24 = 0 by factoring.
The solutions are x =
100. Inventory You need to arrange 72 boxes on a skid with
the same number of rows and columns in each layer.
One possible arrangement has 6 layers of 3 rows and
4 columns, as shown. Use the factors of 72 to determine
the possible numbers of rows and columns in an
arrangement of 4 layers. Which of these arrangements
do you prefer? Explain your reasoning.
Answer: Given the Total No. of boxes = 72
Step-by-step explanation:
We need to find the number of rows and columns for four layers.
= 74 divided by 4 = 18
For 18 we have some arrangement
= (3 rows, 6 columns) (6 rows, 3 columns) (2 rows, 9 columns) and
(9 rows, 2 columns)
For 4 layers, we have a total of 4 numbers arrangement of rows and columns. Which most preferable is (3 rows and 6 columns) because it gives the balance row and column arrangement. It is always preferred that the number of rows should be lesser than the number of columns.
49 POINTS ANSWER AND SHOW WORK,, Stewart loves playing Genshin Impact so much that he “forgets” to do his schoolwork. It’s really starting to impact his grades and he has 36 overdue assignments. The semester is almost over, and he really needs to improve his grades. He can realistically complete 4 overdue assignments each day. Draw a graph to represent this situation.
The graph of the linear function y = 36 - 4x that represents this situation is given by the image shown at the end of the answer.
How to graph the linear function?To graph the linear function, these three steps are taken:
First, the function is defined.Then, the two intercepts are obtained.Finally, a line is traced connecting the two intercepts.The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are detailed as follows:
m is the slope, representing the rate of change of the output variable y relative to the input variable x.b is the intercept, representing the numeric value of the output variable y when the input variable assumes as value of 0.Initially, he has 36 overdue activities, hence the intercept is of:
b = 36.
And thus the coordinates of the y-intercept are given as follows:
(0,36).
Each day, he can do 4 activities, meaning that the number of remaining activities decays by 4, and thus the slope is of:
m = -4.
Thus the definition of the function is presented as follows:
y = -4x + 36.
The x-intercept of the function is the value of x when the output variable assumes a value of 0, hence it is obtained as follows:
-4x + 36 = 0
4x = 36
x = 9.
Thus the coordinates of the x-intercept are given as follows:
(9,0).
Finally, a line is traced connecting the y-intercept (0,36) and the x-intercept (36,0).
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Solve for the value of x.
Answer:
x=2
Step-by-step explanation:
4(2)= 8
8 + 3 = 11
..........
Only focus on triangle MPQ
Notice that line OQ is a perpendicular bisector and that MO = OP.
MQ must equal QP
11 = 4x + 3
8 = 4x
8/4 = 4x/4
x=2
Hope this helps
(1 point) in how many ways can 3 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order? answer: 8 ! (b) the mathematics books must be together and the novels must be together? answer: 17280 (c) the mathematics books must be together but the other books can be arranged in any order? answer:
Answer: the mathematics books must be together but the other books can be arranged in any order? Answer:
Step-by-step explanation:
Marissa's mom purchased coffee from the local coffee shop. The first cup of coffee was $3.95. Each refill is $1.50. She also decided to get a bagel for $3.00. If Marissa's mom had 2 refills and a $0.50 discount as part of the rewards program, how much did she spend at the coffee shop?
$9.95
$9.45
$8.65
$7.95
Answer:
(b) $9.45
Step-by-step explanation:
You want to know how much Marissa's mom spent at the coffee shop for ...
1st cup of coffee: $3.952 refills: $1.50 each1 bagel: $3.00after her rewards program discount of $0.50 was applied.
TotalAdding up the bill, we find it to be ...
$3.95 + 2×1.50 +3.00 -0.50 = $9.45
Marissa's mom spent (b) $9.45 at the coffee shop.
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the issue of capital punishment is a hotly debated topic. do more republicans than democrats support capital punishment? a researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment. in this problem, we want to make inferences about:
In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.
In the given question, the issue of capital punishment is a hotly debated topic.
Do more republicans than democrats support capital punishment?
A researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment.
In this problem, we want to make inferences about:
A. one mean
B. comparing means from dependent samples
C. comparing means from two independent samples
D. one proportion
E. comparing proportions from two independent samples
F. comparing proportions from dependent samples
As we know that,
A hypothesis test can assist in figuring out whether a variation in the estimated proportions actually reflects a variation in the population proportions. An approximation of the normal distribution is shown by the difference between two proportions. The null hypothesis often argues that the two proportions are equal.
So, a researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment. In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.
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Mike was in charge of collecting
contributions for the Food Bank. He
received contributions of $80, $70, $60, $40,
and $80. Find the mean and the median of
the contributions.
Answer: First, order them in the order of smallest to largest, which is 40, 60, 70, 80, 80. Then, since there are 5 numbers, the 3rd number, which is 70, would be the median.
Then, add all numbers:
40+60+70+80+80=330
and divide that by 5:
330/5=66
So, the median is 70 and the mean is 66.
Step-by-step explanation:
last year, jarod left a job that pays $60,000 to run his own bike-repair shop. jarod’s shop charges $65 for a repair, and last year the shop performed 3,000 repairs. jarod’s production costs for the year included rent, wages, and equipment. jarod spent $50,000 on rent and $100,000 on wages for his employees. jarod keeps whatever profit the shop earns but does not pay himself an official wage. jarod used $20,000 of his savings to buy a machine for the business. his savings were earning an annual interest rate of 5 percent.
Answer: Accounting profit=$90,000 and Economic profit loss= $28,500
Step-by-step explanation:
Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000
Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500
Find the image of the given point
under the given translation.
P(8,-3) T(x, y) = (x-4, y + 7)
P' = ([?], [ ])
Enter the number that belongs in
the green box.
Enter
Answer:
P'(4,4)
Step-by-step explanation:
⭐ What does it mean to translate a figure?
Translating a figure means to move said figure up/down or left/right on the coordinate plane.You will know how much to move the figure up/down or left/right in the notation you are given.The coordinates of the given figure is the (x,y) in the translation notationIn the notation you are given ([tex]T__ < x-4,y+7 > P = P'[/tex]), point P is going to be moved 4 units to the left and 7 units up.
⭐How do we translate P?
Take the coordinates of point P and compute the rule used on each coordinateP' = (8-4, -3 + 7)
∴ P' = (4,4)
5x^2-x-4=0 find the solutions to the quadratic functions
Answer:
Step-by-step explanation:
Answer:
X = 1
X = -4/5
Hope this helps!
a card is drawn from a pack of 52 playing cards. find the probability that the card will be a jack, given that it is a face card.\
If a card is drawn from a pack of 52 playing cards, then the probability that the card will be jack is 1/13
Total number of playing cards in the pack = 52 cards
Number of jack cards in the pack = 4 cards
The probability is the ratio of the number of favorable outcomes to the total number of outcomes
The probability = Number of favorable outcomes / Total number of outcomes
Substitute the values in the equation
The probability that the card will be a jack = 4/52
Simplify the answer
= 1/ 13
Therefore, the probability that the card will be jack is 1/13
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to make cranbeerry jam you need 12 cups of sugar for evey 16 cups of cranberris find the amount of sugar for 4 cups of cranberris
Answer: It takes 3 cups of sugar for 4 cups of cranberry
Step-by-step explanation:
12 cups of sugar, 16 cups of cranberry
Divide both numbers by 4
12/4=3
16/4=4
It takes 3 cups of sugar for 4 cups of cranberry
the virus that causes bird flu is being spreading through your community quickly. you and your roommate received a flu shot over two months ago. your roommate gets sick and then the doctor confirms it is the bird flu. explain if you have a high, average or low probability of getting the bird flu and why you selected your answer. the virus that causes bird flu is being spreading through your community quickly. you and your roommate received a flu shot over two months ago. your roommate gets sick and then the doctor confirms it is the bird flu. explain if you have a high, average orlow probability of getting the bird flu and why you selected your answer.
It is possible for humans to contract bird flu viruses. There have been outbreaks of two strains, H5N1 and H7N9, that have affected some populations in Asia, Africa, the Pacific, the Middle East, and portions of Europe. Other unusual forms of avian flu that have affected humans in the US have also been reported. The majority of humans who contract bird flu have had direct contact with diseased birds or surfaces that have been contaminated by the saliva, mucus, or droppings of infected birds.
By what means is the avian flu spread?Through their saliva, mucus, and excrement, infected birds spread the bird flu virus. Inhaling the virus or getting it in one's eyes, nose, or mouth can result in human infection with bird flu viruses.
How might we stop the spread of the avian flu?After contacting birds or surfaces that could be contaminated with their saliva, mucus, or feces, whether they are wild or domesticated, avoid touching your mouth, nose, or eyes.
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For the binomial distribution, which formula finds the standard deviation? Choose the correct answer below: a)np b)npq c)Vnp d)Vnpa
For the binomial distribution, √npq formula finds the standard deviation.
See the image below for the complete solution to the question:
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