Answers
Answer:
y=4
Step-by-step explanation:
Related Questions
use the spinner below to answer the question. assume that it is equally probable that the pointer will land on any one of the five numbered spaces. if the pointer lands on a borderline, spin again.
Answers
The probability that the arrow will land on 2 or 3 is given by the following option:
2/5.
How to obtain the probability?A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.
From the spinner given by the image shown at the end of the answer, we have that:
The total number of outcomes is given by the five regions of the spinner.The desired number of outcomes is given by 2, as there are two outcomes, 2 and 3, considering that all regions are equally as likely.Then the probability that the arrow will land on 2 or 3 is calculated as follows:
p = 2/5.
Meaning that the third option is correct.
Missing InformationThe complete problem, along with the options, is given by the image presented at the end of the answer.
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Write the log equation as an exponential equation. You do not need to solve for x.
log(x+1) (4x):
=
6
7
Answers
The log equation, log(x+1) (4x) = 67, written as an exponential equation is (x + 1)(4x) = 10⁶⁷
Writing logarithmic equation as an exponential equationFrom the question, we are to write the given logarithmic equation as an exponential equation.
The given log equation is:
log(x+1) (4x) = 67
To convert this to an exponential equation, we can use the definition of logarithms, which states that:
log(base b) (y) = x is equivalent to y = b^x
That is,
log (x)(y) = n ⇒ (x)(y) = 10ⁿ
Applying this definition to the given equation, we get:
(x + 1)(4x) = 10⁶⁷
This is the exponential equation equivalent to the given logarithmic equation.
Hence, the exponential equation is (x + 1)(4x) = 10⁶⁷
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A marine biologist randomly selected and placed radio tracking devices on 50 dolphins swimming in the Gulf of Mexico in 2020. He released the dolphins back into the population. A year later he caught 200 dolphins and found that 20 of them had tracking devices on them. What is the best estimate of the population of dolphins swimming in the Gulf of Mexico?
Answers
Answer:
Step-by-step explanation:
"The capture-recapture of individually distinctive signature whistles has not been attempted before," says the paper's senior author Dr Tess Gridley, Co-Director of Sea Search and the Namibian Dolphin Project and a postdoctoral fellow in the Department of Botany and Zoology at SU. "The dolphins use these sounds throughout life and each has its own unique whistle. Therefore, by recording signature whistles over time and in different places we can calculate where animals are moving to and how many animals there are in a population."
Working with Dr Simon Elwen of Stellenbosch University, the Namibian Dolphin Project has been researching Namibia's resident bottlenose dolphins for the past 12 years, and built up a catalogue of more than 55 signature whistles dating back to 2009.
This particular study was led by Emma Longden, who began the project during her BSc (Hons) Marine Biology degree at the University of Plymouth. As an undergraduate, Emma completed an internship with the Namibia Dolphin Project for a month in 2016, and returned again in 2018 to complete work on the mark-recapture project.
She analysed more than 4000 hours of acoustic data from four hydrophones positioned along the coast south and north of Walvis Bay, Namibia, during the first six months of 2016.
All in all, they identified 204 acoustic encounters, 50 of which contained signature whistle types. From these encounters, 53 signature whistle types were identified; 40 were in an existing catalogue developed in 2014 for the Walvis Bay bottlenose dolphin population, and 13 were newly identified. Of the 53 signature whistle types identified, 43% were captured only once, whereas the majority (57%) were recaptured twice or more.
"One of the great things about bioacoustics is that you can leave a hydrophone in the water for weeks at a time and collect so much data without interfering with the lives of the animals you are studying," says Emma, whose work on the project was also supervised by Dr Clare Embling, Associate Professor of Marine Ecology at the University of Plymouth.
Dr Embling added: "This work is incredibly important as it allows us to track and count the number of dolphins in small vulnerable populations. It builds on our previous research looking at the impacts of noise on marine organisms and monitoring vulnerable marine mammal populations. It also showcases the fantastic level of research that our marine biology students are able to achieve, and the opportunities available to them through our partnerships with conservation organisations such as the Namibia Dolphin Project and the Ocean Giants Trust."
Future research includes the work undertaken by PhD student Sasha Dines from Stellenbosch University to further refine the technique to better understand the population of endangered humpback dolphins in South Africa. Another PhD student, Jack Fearey from the University of Cape Town, is continuing to conduct research along the Namibian Coast.
What is the midpoint between 0 and n?
Answers
what would be the domain and range for (5,5) to (9,7) and (0,5) to (5,5)
Answers
Ans is given below
Step-by-step explanation:
Domain :(5,9,0,5)
Range: (5,7,5,5)
what is the slope intercept form of y=3x+2 through(2,-4)
Answers
Answer:
Slope Intercept Form Equation: y = mx + b, or sometimes y = mx + c, m = slope (the amount of rise over run of the line) b= y-axis intercept ( where the line crosses over the y-axis) To calculate the slope intercept form equation from two coordinates.
Step-by-step explanation:
Determine whether the ordered pair \( (2,7) \) is a solution of the equation \( 9 x-y-11=0 \). The ordered pair IS NOT a solution The ordered pair IS a solution
Answers
The ordered pair (2, 7) is a solution to the equation 9 x-y-11=0.
To determine whether the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.
we substitute the values of x and y from the ordered pair into the equation and check if it satisfies the equation.
Given ordered pair: (2, 7)
Substituting x = 2 and y = 7 into the equation:
9(2) - 7 - 11
= 18 - 7 - 11
= 18 - 18
= 0
Since the equation holds true when the values of x and y are substituted, the ordered pair (2, 7) is a solution of the equation 9x - y - 11 = 0.
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MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12
Answers
Answer:
12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 60 = 6/hyp
hyp = 6 / cos 60
hyp = 6 / (1/2)
htp = 12
Sims waist is 30 inches. He wants to put on more weight and is hoping to gain enough weight to increase his waist size by 8%. How many inches does he want his waist to be?
Answers
Answer:
32.4 inches
Step-by-step explanation:
Sam wants the increase to be 8% of 30 inches.
IncreaseThe amount of increase Sam wants in his waist size is ...
8% × 30 in = 0.08×30 in = 2.4 in
Waist sizeAdding the wanted increase to his present size would make Sam's waist size be ...
30 in + 2.4 in = 32.4 in
Sam wants his waist size to be 32.4 inches.
__
Additional comment
The larger size can also be computed from ...
30 +8%×30 = (1 +8%)×30 = 1.08×30 = 32.4 . . . inches
PLEASE HELP! MUCH APPRECIATED. MATH IS SO HARD :(
Answers
Answer:
see below
Step-by-step explanation:
x+ 7.05 = 45.3
Subtract 7.05 from each side
x+ 7.05-7.05 = 45.3-7.05
x =38.25
Let x be the number
x+3.5 = -4.3
Subtract 3.5 from each side
x+3.5 - 3.5 = -4.3-3.5
x = -7.8
x is the cost of the drawing tablet
x+ 3.95 = 6.94 correct
The second equation add the total cost plus the cost of the drawing tablet and sets it equal to the cost of the pencils. This is not correct
6.94+x = 3.95 incorrect
Answer:
1. x=38.25
2. -7.8
3. the second option
Step-by-step explanation:
1. x+7.05=45.3
(move the constant to the right)
x=45.3-7.05
(calculate)
x= 38.25
(answer)
2.
(you subtract -4.3 by 3.5)
3.
(you can't use $6.94 + x = $3.95 because $6.94 is your total overall so you can only use that as your end result)
What other information do you need to prove GHK ≅ KLG by SAS?
A. ∠KHG ≅ ∠GLK
B. ∠HGK ≅ ∠LKG
C. ∠GHK ≅ ∠KLG
D. ∠HKG ≅ ∠LGK
Answers
Step-by-step explanation:
We know that HK and GL are congruent by Given. We can also see that GK is congruent to itself on both sides because of reflexive property. A works, because it corresponds and might fit into SAS. B doesn't, because the two angles don't correspond. C is the same as A, so it will work as well. D's angles correspond, but don't fit SAS.
This means that angle KHG and angle GLK will be congruent, as well as angles GHK and KLG (They're the same angles though).
To prove that \(\triangle GHK \cong \triangle KLG\) by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK
Recall:
If two sides and an included angle in one triangle is congruent to two sides and an included angle in another triangle, both triangles are proven by the SAS Congruence Theorem to be congruent to each other.Given the image showing \(\triangle GHK $ and $ \triangle KLG\), the following are known:
\(HK \cong GL\\\\GK \cong GK\)
This implies that two corresponding sides of both triangles are congruent to each other.However, for us to prove that both triangles to be congruent, we need an additional information that tells us an included angle in one triangle is congruent to a corresponding included angle in the other.
Therefore, to prove that \(\triangle GHK \cong \triangle KLG\) by the SAS Congruence Theorem, the additional information we need is: D. ∠HKG ≅ ∠LGK
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A shop sells school supplies. a) Pens are sold in boxes. Each box contains 12 pens. How many pens are there in 5 boxes? How many pens are there in 50 boxes? How many pens are there in 200 boxes?
Answers
Answer:
60,600,2400
Step-by-step explanation:
12 x 5=60, 50 x 12=600, 200 x 12=2400.
Write the equation of the line that passes through the points (3, -4) and (-3, 0) in slope-intercept form.
Answers
Step 1: Use the slope formula y₂ - y₁/x₂ - x₁ to find the slope.
\(\frac{0 - (-4)}{-3 - 3}\\ \\\frac{4}{-6} = -\frac{2}{3}\)
Step 2: Plug the slope we found and one point into the slope-intercept formula, y = mx + b.
\(y = mx + b\\\\0 = -\frac{2}{3}(6) + b\\\\0 = -4 + b\\\\4 = b\)
Step 3: Put it all together.
\(y = -\frac{2}{3}x + 4\)
Write a situation for this equation and draw a picture that goes with it.
5 ÷ 6 = 5/6
Answers
Answer:
There should be 6 gaps and 5 of which are filled in.
Here is the situation
Your mom made a cake .She had distributed it among your 5 friends and you.How much part was distributed to your friends
Write an equation of a line parallel to line EF below in slope-intercept form that passes through the point (2, 6).
Answers
Answer:
y = -2/3x +22/3
Step-by-step explanation:
You want the slope-intercept equation of a line through point (2, 6) and parallel to the line through (-2, 5) and (1, 3).
SlopeThe slope of the desired line can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -5)/(1 -(-2)) = -2/3
InterceptThe y-intercept of the desired line can be found from ...
b = y -mx
b = 6 -(-2/3)(2) = 18/3 +4/3 = 22/3
EquationThe slope-intercept equation of the line is ...
y = mx +b
y = -2/3x +22/3
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HELP TIMED
Write as an expression: the square of the sum of x and 1
Write as an expression: the square of the difference of m and n
Answers
Answer:
(x+1)²
(m-n)²
Step-by-step explanation:
When conducting a repeated-measures anova, what is calculated to measure the individual differences?
Answers
The final calculation in the analysis of repeated measures ANOVA is the F-ratio, which is a ratio of two variances.
All ANOVAs compare one or more means to each other. They are mean difference tests. Repeated measures ANOVA compares the means of one or more variables based on repeated observations. A repeated measures ANOVA model can also include zero or more independent variables.
One-way analysis of variance (ANOVA) is used to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.
Repeated measures ANOVA is used to determine whether there is a statistically significant difference between the means of three or more groups, each containing the same subject.
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Enter the mixed number as a decimal.
9 3/5
Answers
Answer:
9.6
Step-by-step explanation:
bc 3/5 = 0.6
hope it helps
Answer:
9.6
Step-by-step explanation:
1/5=20%
Prove that every planar graph without a triangle (that is, a cycle of length three) has a vertex of degree three or less. Then, prove that all planar graphs without triangles are four-colorable without using the four-color theorem.
Answers
Every planar graph without a triangle has a vertex of degree three or less, and all planar graphs without triangles are four-colorable.
In a planar graph, each vertex represents a point, and each edge represents a line segment connecting two points. A triangle in a graph is a cycle of length three, which means three vertices are connected in a closed loop. To prove that every planar graph without a triangle has a vertex of degree three or less, we can use the concept of the Handshaking Lemma.
The Handshaking Lemma states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges. In other words, if we add up the degrees of all vertices in a graph and divide the result by 2, we obtain the total number of edges in the graph.
Now, let's assume that every vertex in a planar graph without a triangle has a degree greater than three. If that were the case, the sum of degrees of all vertices would be at least 4 times the number of vertices (since each degree is greater than 3). However, in a planar graph, the number of edges is at most 3 times the number of vertices (known as Euler's formula).
This leads to a contradiction because the sum of degrees would be greater than twice the number of edges, which violates the Handshaking Lemma.
Therefore, there must exist at least one vertex in the planar graph with a degree of three or less. This vertex can be removed, along with its incident edges, without creating any triangles. By repeating this process, we can eventually remove all vertices with degrees greater than three, resulting in a graph where every vertex has a degree of three or less.
Now, let's prove that all planar graphs without triangles are four-colorable without using the four-color theorem. A four-coloring of a graph is an assignment of one of four colors to each vertex, such that no two adjacent vertices have the same color.
Since we have established that every planar graph without a triangle has a vertex of degree three or less, we can start by selecting a vertex with degree three or less and assign it a color. Then, we move to the next vertex and color it with a different color.
Since the graph is planar, each vertex has at most three neighbors, and since we have already colored its neighbors, we can always find a color that is different from its neighbors' colors. By repeating this process for each vertex in the graph, we can ensure that no two adjacent vertices have the same color, resulting in a valid four-coloring.
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A company that produces cell phones has a cost function of C = 4x^2 - 107x + 4322, where C is the
cost in dollars and c is the number of cell phones produced in thousands). How many units of cell phone
(in thousands) minimizes the cost function?
Answers
Based on the cost function, the company that produces cell phones can minimize the cost function at 13.4 cell phones.
What number of cell phones are sold at the minimized cost function?To minimize the cost function, you should differentiate it.
= 4x² - 107x + 4322
dC/dx = 0
8x - 107 = 0
Solving gives:
8x = 107
x = 107 / 8
= 13.4 cell phones
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Know how to read a list of data and answer questions like how
many more did…, what percentage of did…., what percentage of
responses did….., what proportion of customers is …
Answers
Reading a list of data and answering questions related to comparisons, percentages, and proportions involves analyzing the given information and calculating relevant metrics based on the data.
To determine "how many more" or the difference between two values, you subtract one value from the other. For example, if you are comparing the sales of two products, you can subtract the sales of one product from the other to find the difference in sales.
To calculate "what percentage of" a specific value, you divide the specific value by the total and multiply it by 100. This will give you the percentage. For instance, if you want to find the percentage of customers who rated a product positively out of the total number of customers, you divide the number of positive ratings by the total number of customers and multiply it by 100.
To determine "what proportion of" a group falls into a specific category, you divide the number of individuals in that category by the total number of individuals in the group. This will give you the proportion. For example, if you want to find the proportion of customers who prefer a certain brand out of the total number of customers surveyed, you divide the number of customers preferring that brand by the total number of customers.
By applying these calculations to the given data, you can provide accurate answers to questions regarding comparisons, percentages, and proportions.
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What is the THEORETICAL probability of choosing a vowel?
Based on the experiment, what is the probability of choosing a vowel?
Answers
The THEORETICAL probability of choosing a vowel is 3/8 and the experimental probability is 36/75
What is the probability of choosing a vowel?From the question, we have the following parameters that can be used in our computation:
Vowels = Letters A, I and EVowels = Letters of the word SAPPHIREIn the letters of the word, we have
Vowels = 3
Letters = 8
By calculation, the theoretical probability of choosing a vowel is
Theoretical probability = Vowels/Letters
So, we have
Theoretical probability = 3/8
Based on the experiment, we have
Vowels = 15+9+12 = 36
Letters = 8+15+7+5+20+20 = 75
So, we have
Experimental probability = 36/75
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How you calculate the radius of a circle?
Answers
Answer:
When the diameter is known, the formula is Radius = Diameter/ 2.
When the circumference is known, the formula is Radius = Circumference/2π.
When the area is known, the formula for the radius is Radius = ⎷ (Area of the circle/π).
find hcf of 3x²+7x-6 and 2x²+7x+3
Answers
Given:
The expression are:
\(3x^2+7x-6\)
\(2x^2+7x+3\)
To find:
The HCF of the given expression.
Solution:
We have,
\(3x^2+7x-6\)
\(2x^2+7x+3\)
The factor form of given expressions are:
\(3x^2+7x-6=3x^2+9x-2x-6\)
\(3x^2+7x-6=3x(x+3)-2(x+3)\)
\(3x^2+7x-6=(x+3)(3x-2)\)
Similarly,
\(2x^2+7x+3=2x^2+6x+x+3\)
\(2x^2+7x+3=2x(x+3)+1(x+3)\)
\(2x^2+7x+3=(x+3)(2x+1)\)
From the factor forms it is clear that the factor \((x+3)\) is common.
Therefore, the HCF of given expressions is \((x+3)\).
Truck Inspection Violations The probabilities are
0.50, 0.40, and 0.10 that a trailer truck will have no
violations, 1 violation, or 2 or more violations when it
is given a safety inspection by state police. If 5 trailer
trucks are inspected, find the probability that 3 will have
no violations, 1 will have 1 violation, and 1 will have
2 or more violations.
Answers
The probability that 3 out of 5 inspected trailer trucks will have no violations, 1 will have 1 violation, and 1 will have 2 or more violations is 0.50 * 0.50 * 0.50 * 0.40 * 0.10 = 0.005.
1. Calculate the probability of a trailer truck having no violations: 0.50.
2. Calculate the probability of a trailer truck having 1 violation: 0.40.
3. Calculate the probability of a trailer truck having 2 or more violations: 0.10.
4. Multiply the probabilities together for the desired outcome: 0.50 * 0.50 * 0.50 * 0.40 * 0.10 = 0.005.
Therefore, the probability that 3 out of 5 inspected trailer trucks will have no violations, 1 will have 1 violation, and 1 will have 2 or more violations is 0.005.
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please help me answer this question if correct I'll make brainylist!!!
Answers
Answer:
3
Step-by-step explanation:
I am pretty sure it is 3, because 3+3 is 6+5 = 11
The other box also has 11
So I think the x is 3.... Hope this helps
Answer:
3
Step-by-step explanation:
on the left, you see the 1 by 1 squares from before, which I will call c1s, and you see 6 extra c1s
on the right, there are 2, 3 by 1 rectangles. 3 by 1 = 3*1 = 3
3 is the answer
I really need help guys
Answers
Write the following as an algebraic expression. Then simplify. the total amount of money (in cents) in x quarters, (x+3) dimes, and 2x nickels.
Answers
Answer:(x+3)=2x
Step-by-step explanation:
Graph each set of numbers on the number line and order the numbers from greatest to least 0.5, -1, -1/4, 0
Answers
Answer:
0.5, 0, -1/4, -1
A pole that is 3.1 m tall casts a shadow that is 1.1 m long. At the same time, a nearby building casts a shadow that is 37.25 m long. How tall is the building?Round your answer to the nearest meter.х5?
Answers
Let's determine the height of the building using ratios and proportions.
\(\text{ }\frac{\text{ Height of Pole}}{\text{ Shadow length of Pole}}\text{ = }\frac{\text{ Height of Building}}{\text{ Shadow length of Building}}\)\(\text{ }\frac{\text{ 3.1}}{\text{ 1.1}}\text{ = }\frac{\text{ h}}{\text{ 37.25}}\)Where,
h = height of the building
We get,
\(\text{ }\frac{\text{ 3.1}}{\text{ 1.1}}\text{ = }\frac{\text{ h}}{\text{ 37.25}}\)\(\text{ 3.1 x 37.25 = h x 1.1}\)\(115.475=1.1h\)\(\frac{115.475}{1.1}=\frac{1.1h}{1.1}\)\(\begin{gathered} \text{ 104.97727272727 = h} \\ \text{ h = 104.97727272727} \end{gathered}\)\(\text{ h }\approx\text{ 105 m}\)
Therefore, the height of the building is approximately 105 m.