Answer:
1g or 1 gram
Step-by-step explanation:
1. In the image below, triangle DBA - triangle ECA. What is the distance across the lake?
56 m
20 m
15 m
45 m
Answer:
d = 45
Step-by-step explanation:
It is stated that ECA and DBA are similar triangles.
To find the distance across the lake we can use the similarity ratio:
CE/BD = CA/BA
[tex] \frac{d}{30} = \frac{435}{290} [/tex]
Cross multiply fractions290d = 13050
Divide both sides by 290d = 45
Buying art supplies. Isabella is an artist who normally purchases her spray fixative in 6 2/3 ounce cans. If the economy size contains 1 2/5 as much spray, how many ounces will it contain?
The economy size of spray fixative contains 2.70 ounces.
Explain the method of unitary?A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to either a single unit. The unitary technique, for instance, can be used to calculate how many kilometres a car will go on one litre of gas if it travels 44 km on two litres of fuel.For the stated question-
purchasing art materials the spray fixative that Isabella, an artist, typically buys comes in 6 2/3 ounce cans. If there is 1 2/5 times as much spray in the economy size,Thus,
Convert mixed number in improper fraction:
6 2/3 = 20/3
and, 1 2/5 = 7/5
Now, the number of ounces = 20/3 / 7/5
number of ounces = 20*5 /3*7
= 100/37
= 2.70
number of ounces = 2.70
Thus, the economy size contains 2.70 ounces.
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Function A and Function B are linear functions.
Function A Function B
X Y
3 11
9 23
10 25
Which statement is true?
The y-value of Function A when x=-4 is greater than the y-value of Function B when x=-4.
The y-value of Function A when x=-4 is less than the y-value of Function B when x=-4.
The statement which is true is that: B. the y-value of Function A when x = -4 is less than the y-value of Function B when x = -4.
How to determine the true statement?First of all, we would determine a linear equation that represents Function B by determining its slope using the point-slope form as follows;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Substituting the given parameters into the point-slope formula, we have the following;
y - 11 = (23 - 11)/(9 - 3)(x - 3)
y - 11 = 12/6(x - 3)
y - 11 = 2(x - 3)
y - 11 = 2x - 6
y = 2x - 6 + 11
y = 2x + 5
Next, we would evaluate both Function A and Function B as follows:
y = x - 4
y = -4 - 4
y = -8.
Function B:y = 2x + 5
y = 2(-4) + 5
y = -8 + 5
y = -3.
Therefore, the output value (y-value or range) of Function A is lesser than that Function B.
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Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not purple) when choosing one marble from the bag.
64%
36%
24%
8%
(no links)
The probability P(not purple) is (a) 64%
How to determine the probability P(not purple)From the question, we have the following parameters that can be used in our computation:
2 red, 4 green, 10 yellow, and 9 purple marbles.
This means that
P(not purple) = (not purple)/Total
Substitute the known values in the above equation, so, we have the following representation
P(not purple) = (2 + 4 + 10)/(2 + 4 + 10 + 9)
Evaluate
P(not purple) = 64%
Hence, the probability is 64%
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You receive your midterm exam scores for four classes. In all four classes, your midterm score was X = 70. Below is the mean and standard deviation for each of your classes. Compute the zscore for each midterm exam score and summarize in words how you performed relative to other students in the class. a. Class 1: μ = 70 and σ = 10 b. Class 2: μ = 50 and σ = 20 c. Class 1: μ = 80 and σ = 5 d. Class 1: μ = 80 and σ = 20
The z-score, also known as the standard score, tells us how many standard deviations an individual data point is from the mean of the data set.
What is an illustration of statistics ?
A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.
For Class 1, where the mean is 70 and the standard deviation is 10, the z-score for your midterm score of X = 70 is (70-70)/10 = 0. This means that your score is exactly at the mean and the same as other students in the class.
For Class 2, where the mean is 50 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-50)/20 = 1. This means that your score is one standard deviation above the mean and better than most of the students in the class.
For Class 3, where the mean is 80 and the standard deviation is 5, the z-score for your midterm score of X = 70 is (70-80)/5 = -2. This means that your score is two standard deviations below the mean and worse than most of the students in the class.
For Class 4, where the mean is 80 and the standard deviation is 20, the z-score for your midterm score of X = 70 is (70-80)/20 = -0.5. This means that your score is half a standard deviation below the mean and worse than some of the students in the class but better than others.
Overall, from the z-scores, in class 1 and class 4, you have scored at the mean, in class 2 you have scored better than most of the students in the class and in class 3 you have scored worse than most of the students in the class.
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Statistics frequency distribution, need help finding the median and mode
The median and mode of the data set are 12, 12 respectively.
What is median?The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.
The mean of the data is 12 (given).
The median of the data is the middle number.
The data arranged in the ascending order,
10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14.
12 is the middle value.
The median is 12.
The value that happens most frequently is the mode.
The only average that is capable of having zero, one, or several values is the mode.
Ordering the numbers first aids in determining the mode.
The mode of data set is 12.
Therefore, 12 is mean, median and mode of the data set.
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The following two-way frequency table shows information collected from a survey of attendees at a neighborhood meeting regarding how many people have a dog and how many people take walks in the neighborhood.
What is the probability that a randomly selected person does not take walks in the neighborhood but has a dog?
Write your answer as a fraction in simplest form, formatted like this: 2/7
The probability that a randomly selected person in the neighborhood does not take walks but has a dog is 7/26.
What is probability?Probability refers to the chance or likelihood that an expected outcome occurs when there are many possible chances of other outcomes.
Probability is the ratio or quotient obtained by dividing the expected outcome by the number of occurrences.
Probability can be expressed as a fraction, decimal, or percentage when it is not 100% certain or uncertain.
The total number of dog owners in the neighborhood = 78
The number of dog owners in the neighborhood who walks their dogs = 57
The number of dog owners in the neighborhood who do not walk their dogs = 21
The probability of randomly selecting a person who does not take walks but has a dog = 21/78 = 26.9% (21/78 x 100)
21/78 = 7/26
Thus, in fraction, the probability that a randomly selected person in the neighborhood has a dog but does not take walks is 7/26.
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Answer:
21/100
Step-by-step explanation:
just took the test
stuck on this homework question and need some help.
Answer:
D. y = 2 1/16
Step-by-step explanation:
You want to know the value of f(x) when x = 1/4 and f(x) = x²+2.
Domain and RangeThe domain of a function is the set of values for which it is defined. The given function f(x) is defined for all values of x. However, the problem statement tells you the only domain value of interest is x = 1/4.
The range is the set of function values corresponding to the domain values. Here, the only range value of interest is the value of f(1/4).
EvaluationPut the value of the variable where the variable is in the function definition and do the arithmetic.
y = f(1/4) = (1/4)² +2 = 1/16 +2
y = 2 1/16
__
Additional comment
A calculator can help you evaluate an expression.
Answer: D
Step-by-step explanation:
A a bank loaned out $17,500 part of it at the rate of 10% annual interest and the rest at 4% annual interest. The total for both loans was $970. How much was loaned at each rate
Answer: x = 9500
Step-by-step explanation:
Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:
.04(x) + .09(17500 - x) = 1100
Multiply the .09 times the inside of the parentheses:
.04x + 1575 - .09x = 1100
Simplify:
-.05x + 1575 = 1100
-.05x = -475
x = 9500
Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.
To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.
a) (-x¹) = (x²)=
b) (8x³y4z²)÷(2x²y²z²)=
c) (12x²)÷(-6y)=
d) (-18x^yz²)+(-6x²yz)=
The value of the expressions are:
a) -x(1 + x)
b) 16xy
c) -2x²/y
d) -6xyz (3z + x)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
a)
-x - x²
= -x(1 + x)
b)
8x³y4z² ÷ 2x²y²z²
= 32x³yz² / 2x²y²z²
= 16xy
c)
12x² ÷ -6y
= 12x² / -6y
= -2x²/y
d)
-18xyz² + (-6)x²yz
= -6xyz (3z + x)
Thus,
The value of the expression is:
a) -x(1 + x)
b) 16xy
c) -2x²/y
d) -6xyz (3z + x)
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Can I take a picture of a question and have it answered?
Answer:
yes
Step-by-step explanation:
yes, I have taken a picture of a problem/question and had it answered
III. (246)10 into hexadecimal
F60.
246 in hexadecimal is F6. When multiplied by 10, the result is F60.
Question 4 of 10
At a high school, the probability that a a student is a senior is 0.25. The
probability that a student plays a sport is 0.20. The probability that a student
is a senior and plays sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
A. 0.08
B. 0.25
0.17
© D. 0.32
The probability that a randomly selected student plays a sport, given that the student is a senior will be 0.08. Then the correct option is A.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
At a secondary school, the likelihood that an understudy is a senior is 0.25. The likelihood that an understudy plays a game is 0.20. The likelihood that an understudy is a senior and plays a game is 0.08.
The probability that a randomly selected student plays a sport, given that the student is a senior will be 0.08. Then the correct option is A.
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The points (80, 20) and (120, 30) form a proportional relationship. What is the slope of the line that passes through these points?
O 1
4
04
O 10
O 40
Answer:
1/4 is the slope of the line that passes through these points
Step-by-step explanation:
120 - 80 = 40
30 - 20 = 10
10/40
10/40 as a fraction simplified is 1/4 so y = 1/4x
The graph of y=- square root of x is shifted 2 units up and 5 units left. Which equation represents the new graph?
Answer: y = -√(x + 5) + 2.
y = -√x
Shifting these 2 units up produces the equation:
y = -√x + 2
Moving it 5 units to the left gives:
y = -√(x + 5) + 2.
Step-by-step explanation:
someone can help meee?
When compared to green and yellow, which have diameters of 6 and 8, respectively, blue has a 1.5 cm diameter.
what is circle ?A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about the center at every angle. Every pair of points in the plane of a circle, which is a closed two-dimensional object, are equally separated from the "center," and a line through the circle generates a specular symmetry line. Additionally, it is rotationally symmetric about the center at every angle.
given
diameter green = 6 cm
diameter yellow = 8 cm
diameter of total = 13 cm
diameter of blue = diameter of total - ( diameter yellow + diameter green )
= 1.5 cm
When compared to green and yellow, which have diameters of 6 and 8, respectively, blue has a 1.5 cm diameter.
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A rectangular field is 80 yards wide and 120 yards long. Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer: Width is 70 yd and length is 120 yd
How many terms does the following expression contain?
5yz^2-z-24y+77
5yz^2-z-24y+77 contain 5 terms .
what is terms of an expression ?In mathematics, the terms of an expression are the individual parts of the expression. Each term is separated from other terms by a plus sign ("+") or a minus sign ("-"). Terms can be numbers, variables, or a combination of the two. A term might also include coefficients, which are numbers that are multiplied by the variables. In algebra, the terms of an expression are usually combined using addition, subtraction, multiplication, and division. Each term can be evaluated separately, and the result of the evaluation will be the result of the entire expression. For example, the expression 5x + 3 can be evaluated by multiplying 5 times x and then adding 3 to get the result. The terms of the expression are 5x and 3.In this question ,
This expression 5yz^2-z-24y+77 contains 5 terms.
The first term is 5yz^2.
The second term is -z.
The third term is -24y.
The fourth term is +77.
The fifth and final term is +77.
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5yz^2-z-24y+77 contain 5 terms .
what is terms of an expression ?In mathematics, the terms of an expression are the individual parts of the expression. Each term is separated from other terms by a plus sign ("+") or a minus sign ("-").
Terms can be numbers, variables, or a combination of the two. A term might also include coefficients, which are numbers that are multiplied by the variables.
In algebra, the terms of an expression are usually combined using addition, subtraction, multiplication, and division. Each term can be evaluated separately, and the result of the evaluation will be the result of the entire expression.
For example, the expression 5x + 3 can be evaluated by multiplying 5 times x and then adding 3 to get the result. The terms of the expression are 5x and 3.
In this question ,
This expression 5yz^2-z-24y+77 contains 5 terms.
The first term is 5yz^2.
The second term is -z.
The third term is -24y.
The fourth term is +77.
The fifth and final term is +77.
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How much interest will you pay on a $100
loan at 11% simple interest for 2 years?
I = PRT
Answer:
I = $ 11.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 11%/100 = 0.11 per year,
then, solving our equation
I = 100 × 0.11 × 1 = 11
I = $ 11.00
The simple interest accumulated
on a principal of $ 100.00
at a rate of 11% per year
for 1 years is $ 11.00.
$22
Step-by-step explanation:Using the initial loan amount, interest rate, and term we can find the amount of simple interest paid.
Simple Interest
First, let's define simple interest. Simple interest is the simplest to calculate. Simple interest is calculated based on the initial loan, aka the principle (P). Compound interest, on the other hand, is calculated based on the principle and any accumulated interest.
Solving for Interest
We are given every value we need, so we can just plug them into the given formula. The principle is the initial $100 loan, so P = 100. The interest rate is 11%, but for the formula, we should use this in decimal form. This way r = 0.11. Then, we are told the total time is 2 years, so t = 2.
I = 100 * 0.11 * 2I = 221) Given f(x) = 3(1.04)*
a) Is the function growth or decay?
b) Determine the growth/decay rate in %.
Given that f(x) = 3(1.04)* denotes an exponential growth function and that the growth factor is bigger than 1, exponential growth is assumed. Growth is exponential and is occurring at a 4% annual growth rate.
How do you know if a function is growth or decay?The exponential growth function and exponential decay are the two different kinds of exponential functions. The exponential growth function is represented by the equation f (x) = bx when b > 1. When 0 b 1, the exponential decay function, f (x) = bx, is what is being represented.
Continuous growth is tracked throughout time via exponential functions. Bacterial development, compound interest, and radioactive decay are some typical examples from the real world. The exponential decay function is represented by the equation f (x) = a (1 r) x, where is the initial value and is the rate of decay.Using a percentage, the decay rate is described.Just reduce the % and divide it by 100 to get it into decimal form.The decay factor, b = 1-r, can then be determined. If the rate of deterioration is 25% .
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If 40% is $2.00,how much is 100%
Answer:
$5.00
Step-by-step explanation:
2.00/40% = x/100%
Using the butterfly method becomes:
200/40x
then solve for x:
200/40 = 40x/40
5 = x
Dax packs cans into boxes.
He fits eight rows of five
cans into the bottom of
each box, and a second
layer of cans on top. How
many cans are in each
box?
Answer:
He has 40 cans in each box
Step-by-step explanation:
8 x 5 = 40
Enter the slope intercept
Answer:
y = 2x + 4
If this help please set brainly brainliest.
Step-by-step explanation:
The slope-intercept form of the line shown in the graph is indeed y = 2x + 4.
To arrive at this equation, we used the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. The slope was calculated to be 2 using the formula: slope = (y2 - y1) / (x2 - x1) = (4 - 0) / (0 - (-2)) = 4/2 = 2.
The y-intercept of the line is the point where the line crosses the y-axis, which in this case is (0,4). Substituting the values for the slope and y-intercept into the slope-intercept form gives us the equation y = 2x + 4.
-56=-3b_-32
Sooos pleace
Answer:
b = 8
Step-by-step explanation:
I think that you meant
-56 = -3b -32 Add 32 to both sides
-56 + 32 = -3b - 32 + 32
-24 = -3b Divide both sides by -3
[tex]\frac{-24}{-3}[/tex] = [tex]\frac{-3b}{-3}[/tex]
8 = b
Answer:
b = 8
Step-by-step explanation:
Given equation,
→ -56 = -3b - 32
Now the value of b will be,
→ -3b - 32 = -56
→ -3b = -56 + 32
→ -3b = -24
→ b = -24/-3
→ b = 24/3
→ [ b = 8 ]
Hence, the value of b is 8.
11 - 2 • [5 - {5^2 + 2}
the answer is 55
please show me how to get that answer?
The value of the numerical expression 11 - 2 · [5 - {5² + 2}] will be 55.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numerical expression is given below.
⇒ 11 - 2 · [5 - {5² + 2}]
Simplify the numerical expression, then we have
⇒ 11 - 2 · [5 - {5² + 2}]
⇒ 11 - 2 · [5 - {25 + 2}]
⇒ 11 - 2 · [5 - 27]
⇒ 11 - 2 · (-22)
⇒ 11 + 44
⇒ 55
The value of the numerical expression 11 - 2 · [5 - {5² + 2}] will be 55.
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Please need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!! 30 points, NO spamming.
You're supposed to decide if the information that's marked in addition to another information you can determine from the picture is enough to prove the triangles congruent with the pattern listed in the problem. If yes, just write yes. If not, state the additional information that would need to be marked to make them congruent using the given pattern. (By pattern I mean, SSS or ASA or SAS etc. listed in the problem)
The picture is enough to prove the triangles congruent with the pattern
What is congruent triangles?Congruency simply means equivalent. So two triangles are equivalent in the following conditions
Side side side(SSS)side Angle side(SAS)Side angle angle(SAA)Angle angle angle(AAA)The two triangles are ΔIJH and ΔKHJ
ΔIJH has two given sides with an included angle
Also, ΔKHJ has two given sides with an included angles
This is to say that the two triangles have SAS each
In conclusion, the two triangles are congruent
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Find the value of x.
60
50
40
30
Answer:
x is 40.
Step-by-step explanation:
The triangle with all sides equal is an equilateral triangle, one you shouldn't be bothered about. This is because the angle of 100 has already been given. If you look at the diagram closely, you can see that the triangle in which angle x is present is an isosceles triangle. Since the top angle is already given, there is a formula to calculate the bottom angle, i.e., x.
The formula is : (180- the top angle, in this case 100) / 2
Hope you fully understood my answer ! If you didn't, that's fine, you can search on any website. You can find way better explanations there.
The diagram illustrates photosynthesis.
Which best describes what is happening in the area marked Y?
Oxygen is released into the atmosphere through stomata.
Carbon dioxide is released into the atmosphere through stomata.
Oxygen is released into the atmosphere through xylem.
Carbon dioxide is released into the atmosphere through xylem.
Santa over did it for the holidays, again! In the new year he decides to go on a diet and start jogging. Below is Santa's running log for the week. Running Log Day Monday Tuesday Wednesday Thursday Friday Saturday Miles 4 ‡ 3 7/8 5 1/4 ? 4 1/4 If Santa's goal is to run 20 miles for the week, How many miles did Santa run on Friday to meet his goal?
Santa ran [tex]2\frac{1}{8}[/tex] miles on Friday to meet his goal of 20 miles a week.
What is a fraction?A fraction is a part of a whole. The number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
The expression will be;
[tex]4\frac{1}{2} + 3\frac{7}{8} + 5\frac{1}{4} + 0 + x + 4\frac{1}{4} = 20[/tex]
[tex]\frac{9}{2} + \frac{31}{8} + \frac{21}{4} + 0 + x + \frac{17}{4} = 20[/tex]
Multiplying through by 8
36 + 31 + 42 + 8x + 34 = 120
143 + 8x = 160
8x = 160 - 143
8x = 17
x = 17/8
x = [tex]2\frac{1}{8}[/tex] miles
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Solve for the missing angle of the triangle.
C
mzB =
40°
14
112°
A
B
Answer:
Step-by-step explanation:
To find the measure of angle B in the triangle, we can use the fact that the measures of the angles in a triangle always add up to 180 degrees.
We know that the measure of angle A is 112 degrees and the measure of angle C is 40 degrees, so we can set up the following equation:
A + B + C = 180
Plugging in the known values, we get:
112 + B + 40 = 180
Solving for B, we find that the measure of angle B is 28 degrees.
Therefore, the missing angle of the triangle is 28 degrees.
