k=2
Step-by-step explanation:
since all the base are 10 you use the powers to solve it.
so it would be -3+1+k=-3=-3
Answer:
k = -1
Step-by-step explanation:
I did the test, good luck! :)
Point R is at (4, 1.5) and Point T is at (4, 2.9) on a coordinate grid. The distance between the two points is ____. (Input numbers and decimal point only, such as 8.2.)
Answer:
1.4
Step-by-step explanation:
Both points are on the vertical line x=4, so the distance between them is the difference of their y-coordinates:
2.9 -1.5 = 1.4
The points are 1.4 units apart.
Will give brainliest for answer
Answer:
y > -x -3
Step-by-step explanation:
The graph is shaded above the dashed line, indicating y-values in the solution are greater than those on the line, so your inequality will start with ...
y >
The y-intercept of the line is (0, -3), so the "b" value in ...
y > mx +b
will be -3.
The line has a rise of -3 for a run of 3 (between the marked points), so the slope is ...
m = rise/run = -3/3 = -1
Then the inequality you want is ...
y > -x -3
Point A is at (6,1) and point C is at (2,-7) find the coordinates of point B on AC such that AB = 1/3BC
Answer:
B = (5, -1)
Step-by-step explanation:
We can use the required relation to find an expression for B in terms of the given points.
AB = (1/3)(BC)
B -A = (1/3)(C -B)
B = (1/3)C -(1/3)B +A . . . . . add A
(4/3)B = (1/3)C +A . . . . . . . add 1/3B
B = (1/4)C +(3/4)A = (C +3A)/4 . . . . . . multiply by 3/4
B = ((2, -7) +3(6, 1))/4 = (20/4, -4/4) . . . . . substitute given values
B = (5, -1)
Answer:
5/-1
tru trust me
Step-by-step explanation:
On a coordinate plane, triangle L M N is shown. Point L is at (negative 3, 4), point M is at (negative 3, negative 1), and point N is at (2, negative 1).
What is true about triangle LMN?
Answer:
A. LM ⊥ MN. D. The triangle is isosceles. E. The triangle is a right triangle.
Step-by-step explanation:
edge 2020 <3
**10 POINTS PLEASE HELP!!**
A cube is dilated by a factor of 4. By what factor does its volume increase? Complete the explanation of your reasoning.
The volume increases by a factor of ____. When the cube is dilated, each side length is increased by (select), so the volume is increased by (select) the dilation factor.
Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
If 160 girls are in a school and 112 study latin what percent of them do latin...also could you show the process
Answer:
70%
Step-by-step explanation:
Divide the two numbers to get a decimal:
112/160 = 0.7
Multiply by 100:
0.7 * 100 = 70
Add a percent sign:
70%
70% percent of the girls in the school study Latin.
Caleb feeds his puppy 5/8 of a cup at each meal. How many 1/8 cups does he feed his puppy at each meal
Answer:
[tex] \frac{1}{2} [/tex]
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \frac{5}{8} - \frac{1}{8} \\ = \frac{4}{8} \\ = \frac{1}{2} [/tex]
(Easy question, plz answer) Roberto made fruit punch. He used 3 quarts of mango juice and 1 pint of pomegranate juice. He used 1 quart more cranberry juice than mango juice, How many cups of fruit punch did Roberto make?
Answer:
30 cups
Step-by-step explanation:
mango: 16 cups x 3/4 = 12 cups
pomegranate: 1 pint = 2 cups
cranberry: 1 gallon= 16 cups
Cups of fruit punch: 12+2+16= 30
Roberto made 30 cups of Fruit punch( Hopefully this helped )
Work out the circumference of a circle with radius 7.5 cm take pi to be 3.142
Answer:
47.13
Step-by-step explanation:
The requried circumference of the circle is given as 47.13 cm.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). the equation of the circle is given by
(x - h)² + (y - k)² = r²
Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here,
The circumference of a circle with a radius of 7.5 cm takes pi to be 3.142 is given as,
Circumference of circle = 2πr
Circumference of circle = 2 × 3.142 × 7.5 = 47.13 cm
Thus, the requried circumference of the circle is given as 47.13 cm.
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o) x² – 18x - 19 + 20y - y2,
Answer:
19x-19+23y
Step-by-step explanation:
add the like terms
What’s the correct answer for this?
Answer:
Second option is the correct answer
[tex](x+11)^2+(y+6)^2 = 324[/tex]
Step-by-step explanation:
[tex]x^{2} +12y+22x+y^2-167=0\\x^{2}+22x +y^2 +12y-167=0\\(x^{2}+22x +121)-121 +(y^2 +12y+36)-36-167=0\\(x+11)^2+(y+6)^2-324 = 0\\\huge\red{\boxed{(x+11)^2+(y+6)^2 = 324}}\\[/tex]
Answer:
[tex](x+11)^2+(y+6)^2=324[/tex]
Step-by-step explanation:
[tex]x^2+12y+22x+y^2-167=0\\\mathrm{Circle\:Equation}\\\left(x-a\right)^2+\left(y-b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)\\\mathrm{Rewrite}\:x^2+12y+22x+y^2-167=0\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}\\x^2+12y+22x+y^2-167=0\\\mathrm{Move\:the\:loose\:number\:to\:the\:right\:side}\\x^2+22x+y^2+12y=167\\Group\:x-variables\:and\:y-variables\:together\\\left(x^2+22x\right)+\left(y^2+12y\right)=167[/tex]
[tex]\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\left(x^2+22x+121\right)+\left(y^2+12y\right)=167+12\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y^2+12y\right)=167+121\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}\\\left(x+11\right)^2+\left(y^2+12y+36\right)=167+121+36\\Convert\:to\:square\:form\\\left(x+11\right)^2+\left(y+6\right)^2=167+121+36\\\mathrm{Refine\:}167+121+36\\\left(x+11\right)^2+\left(y+6\right)^2=324\\Rewrite\:in\:standard\:form[/tex]
[tex]\left(x-\left(-11\right)\right)^2+\left(y-\left(-6\right)\right)^2=18^2\\\mathrm{Therefore\:the\:circle\:properties\:are:}\\\left(a,\:b\right)=\left(-11,\:-6\right),\:r=18[/tex]
when you multiply my digits, the product is 30, but when you add my digits, the sum is a prime number. What number am i?
Answer:
65
Step-by-step explanation:
6 x 5 = 30
6+ 5 = 11
therefore, the answer is 65
Is 3 gallons of paint more than 15 quarts of paint??
Answer:
3 gallons is 12 quarts and is less than 15 quarts
Step-by-step explanation:
1 gallon = 4 quarts
2 gallons = 8 quarts
3 gallons = 12 quarts
Answer
no, 3 gallons is less than 15 quarts
Step-by-step explanation:
1 gallon=3 quarts
3 gallons=12 quarts
According to a recent study, the average woman's leg hair grows an eighth of an inch per month. A new drug company believes that women who daily take its drug will change their leg hair growth. Before putting its product on the market, the company plans on running a test of the effectiveness of the drug.
a. Which null and alternative hypotheses should the company use for this study?
Answer:
H0: μ = 0.125, Ha: μ ≠ 0.125
Step-by-step explanation:
I got the answer correct on the quiz.
The null and alternative hypotheses should the company use for this study H₀: μ = 0.125 Hₐ: μ > 0.125.
What is Alternate Hypothesis?An alternate Hypothesis is a statistical experiment that is contradictory to the null hypothesis.
The claim made by the company should be
Using the company's product will slow down leg growth. According to the study, the average woman's leg hair grows an eighth of an inch per month. So, the company will claim that using its product the average growth will be less than an eighth of an inch per month. Since, the claim contains the word "less than", it will be the alternate hypothesis.
The Null hypothesis, therefore, would be: The average growth is eight of an inch per month.
Let u represent the growth of hair per month.
The Null and Alternate Hypothesis in symbolic forms would be
Null Hypothesis:
[tex]H_{0} : \mu = 0.125\\[/tex],
Alternate Hypothesis:
[tex]H_{a} : \mu > 0.125[/tex]
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Suppose 1000 people enter a chess tournament. The champion is determined in such a way that a player is eliminated after one loss and games are played until only one entrant has not lost. (Assume there are no ties.)
Required information:
The given tournament can be modeled as a full binary tree with the winner of the entire tournament as the root. Which of the following is true for the binary tree?
A. Each internal vertex represents the winner of the game played by its two siblings, and there are 1000 leaves, one for each contestant.
B. Each internal vertex represents the winner of the game played by its parents, and there are 2000 leaves, two for each contestant.
C. Each internal vertex represents the winner of the game played by its parents, and there are 1000 leaves, one for each contestant.
D. Each internal vertex represents the winner of the game played by its two children, and there are 1000 leaves, one for each contestant.
E. Each internal vertex represents the winner of the game played by its two children, and there are 2000 leaves, two for each contestant.
Answer:
Each internal vertex represents the winner of the game played by its parents, and there are 1000 leaves, one for each contestant.
Step-by-step explanation:
There are many ways to illustrate the rooted tree model to calculate the number of games that must be played until only one player is left who has not lost.
We could go about this manually. Though this would be somewhat tedious, I have done it and attached it to this answer. Note that when the number of players is odd, an extra game has to be played to ensure that all entrants at that round of the tournament have played at least one game at that round. Note that there is no limit on the number of games a player can play; the only condition is that a player is eliminated once the player loses.
The sum of the figures in the third column is 999.
We could also use the formula for rooted trees to calculate the number of games that would be played.
[tex]i=\frac{l - 1}{m - 1}[/tex]
where i is the number of "internal nodes," which represents the number of games played for an "m-ary" tree, which is the number of players involved in each game and l is known as "the number of leaves," in this case, the number of players.
The number of players is 1000 and each game involves 2 players. Therefore, the number of games played, i, is given by
[tex]i=\frac{l - 1}{m - 1} \\\\ i=\frac{1000 - 1}{2 - 1} \\\\= \frac{999}{1} \\\\=999[/tex]
Answer: C. Each internal vertex represents the winner of the game played by its parents, and there are 1000 leaves, one for each contestant.
Step-by-step explanation: A tree is a connected undirected graph with no simple circuits. When its elements has at most 2 children, it is a Binary Tree.
The tree is formed by nodes. The topmost node is called Root and except for it, every node is connected by a direct line from exactly one other node. This type of node is called Parent.
Parent can be direct connect to a number of other nodes, which are Children and can also be internal nodes.
NOdes with no children are Leaves or external nodes.
In the Binary Tree described by the question, the number of participants is 1000, so there will be 1000 leaves. Each internal vertex repsents the winner of a game played by its parents, i.e., each is a Child, a internal node.
The right answer is alternative C.
Expiration dates that establish the shelf lives of pharmaceutical products are determined from stability data in drug formulation studies. In order to measure the rate of decomposition of a particular drug, it is stored under various conditions of temperature, humidity, light intensity, etc., and assayed for intact drug potency at FDA-recommended time intervals of every three months during the first year. In this example, the assay Y (mg) of a certain 500 mg tablet formulation is determined at time X (months) under ambient storage conditions.
X 0 3 6 9 12
Y 500 490 470 430 350
(a) Graph these data points (xi , yi) in a scatterplot, and calculate the sample correlation coefficient r=Sxy/Sx.Sy. Classify the correlation as positive or negative, and as weak, moderate, or strong.
(b) Determine the equation of the least-squares regression line for these data points, and include a 95% confidence interval for the slope β1.
(c) Sketch a graph of this line on the same set of axes as part (a); also calculate and plot the fitted response values y, and the residuals ei= yi - ŷi, on this graph.
(d) Complete an ANOVA table for this linear regression, including the F-ratio and corresponding p-value.
Answer:
(a) The correlation is positive
Step-by-step explanation:
A friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car. If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5. Given that he was at work on time on a particular morning, what is the probability that he drove the small car? (Give the answer to three decimal places.)
Answer:
The probability that he drove the small car is 0.318.
Step-by-step explanation:
We are given that a friend who works in a big city owns two cars, one small and one large. One-quarter of the time he drives the small car to work, and three-quarters of the time he takes the large car.
If he takes the small car, he usually has little trouble parking and so is at work on time with probability 0.7. If he takes the large car, he is on time to work with probability 0.5.
Let the Probability that he drives the small car = P(S) = [tex]\frac{1}{4}[/tex] = 0.25
Probability that he drives the large car = P(L) = [tex]\frac{3}{4}[/tex] = 0.75
Also, let WT = event that he is at work on time
So, Probability that he is at work on time given that he takes the small car = P(WT / S) = 0.7
Probability that he is at work on time given that he takes the large car = P(WT / L) = 0.5
Now, given that he was at work on time on a particular morning, the probability that he drove the small car is given by = P(S / WT)
We will use the concept of Bayes' Theorem for calculating above probability;
So, P(S / WT) = [tex]\frac{P(S) \times P(WT/S)}{P(S) \times P(WT/S)+P(L) \times P(WT/L)}[/tex]
= [tex]\frac{0.25 \times 0.7}{0.25 \times 0.7+0.75 \times 0.5}[/tex]
= [tex]\frac{0.175}{0.55}[/tex]
= 0.318
Hence, the required probability is 0.318.
A surf instructor has an initial fee of $12 and charges $8
per hour for lessons.
Explain how to determine what the y-intercept is and
where it would be located on the graph.
Answer:
For this case we can define y as the response variable and represent the cost and x the independent variable who represent the hours of lessons. We know that the instructor has an initial fee of 12 and charges 8 per hour. So then we can model the situation with this formula:
[tex] y =mx+b[/tex]
Where m = 8 represent the slope and b =12 the intercept so our model would be:
[tex] y = 8x +12[/tex]
And the y intercept would be at x=0 and y=12 and represent the initial amount of money that we need to pay in order to have the instructor.
Step-by-step explanation:
For this case we can define y as the response variable and represent the cost and x the independent variable who represent the hours of lessons. We know that the instructor has an initial fee of 12 and charges 8 per hour. So then we can model the situation with this formula:
[tex] y =mx+b[/tex]
Where m = 8 represent the slope and b =12 the intercept so our model would be:
[tex] y = 8x +12[/tex]
And the y intercept would be at x=0 and y=12 and represent the initial amount of money that we need to pay in order to have the instructor.
Answer:
y= 8x+12
Explanation:
I have just completed it. Thank me later.
There are 4 dogs at each corner. They each see three dogs. How many dogs are there?
Step-by-step explanation:
there are four dogs because each dog at a corner will see the other three dogs at the other corners
Solve 56 - 10x20 + 8x.
O A. xs-2
O B. X2-2
O c. x52
O D.x22
The value of the given equation is 2 and -10.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given is an equation, x²+8x-20 = 0, we need to solve for x,
x²+8x-20 = 0
Solving for x, by using factorization,
x²+8x-20 = 0
Splitting the middle term,
x²+10x-2x-20 = 0
x(x+10)-2(x+10) = 0
(x-2)(x+10) = 0
x = 2 and x = -10
Hence, the value of the given equation is 2 and -10.
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The complete question is attached
Um investidor aplica R$ 1.000,00 a juros simples de 3% ao mês. Determine o valor recebido após um ano:
Responder:
$ 1360
Explicación paso a paso:
La pregunta está incompleta. Aquí está la pregunta completa.
Un inversor aplica R $ 1,000.00 a votos simples de 3% al año o más. Determinar o valor recibido después de 12 años:
Antes de determinar el valor recibido después de un año, necesitamos encontrar el interés simple sobre el dinero después de 12 años.
Interés simple = Principal * tasa * tiempo / 100
Principal dado = $ 1,000 (cantidad invertida)
Tasa = 3%
Tiempo = 1 año
SI = 1000 * 3 * 12/100
SI = 36000/100
SI = $ 360
Cantidad después de 12 años = Principal + Interés
Cantidad = $ 1000 + $ 360
Cantidad = $ 1360
7 squared plus 7 cubed
Answer:
392
Step-by-step explanation:
49+343
Answer: 392
Step-by-step explanation: The term “squared“ means times two. And the term “cubed” times three. So multiply 7*7 then add that to 7*7*7
If you found this answer helpful, give it a five-star rating and a thanks!
(Maybe even a brainliest if you feel like it ;D)
LOTS OF POINTS PLEASEE HELP
Answer:
i) x = 0.25 and 1.25
ii) x = -0.5 and 1.5
Step-by-step explanation:
Given that y = 4x² - 4x - 1. So for question 1, you can let y = 0, then see which x-value did the curve touches 0 at y-axis.
Same for question 2.
PLZ HURRY I AM BEING TIMED!!!!! I WILL GIVE BRAINLIEST TO FIRST ANSWER THAT IS APPLICABLE!
When solving the equation, which is the best first step to begin to simplify the equation?
Negative 2 (x + 3) = negative 10
(negative 2) (Negative 2) (x + 3) = negative 10 (negative 2)
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
StartFraction negative 2 over 2 EndFraction (x + 3) = StartFraction negative 10 over 2 EndFraction
StartFraction negative 2 over negative 10 EndFraction (x + 3) = StartFraction negative 10 over negative 10 EndFraction
Answer: /-2
Step-by-step explanation:
no time to explain but it would make sence using pemdas
Answer:
the answer is B
or
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half)
Step-by-step explanation:
now give me my brainly plz
I know I wasn't first but the other guy was wrong
compare and contrast perfect squares and imperfect squares. explain your reasoning by talking about square roots and the process of finding perfect square roots and imperfect square roots.
Answer: perfect squares are the squares of the whole numbers: 1, 4, 9,25,36,49,64,81,100...... For example, 9 is a squared number because it can be written as 3x3. However, imperfect squares are numbers whose square roots contain fractions or decimals. For example square root of 20 = 4 1/2
The square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.
We need to compare and contrast perfect squares and imperfect squares.
Perfect squares: When you multiply an integer by itself, you get a perfect square, which is a positive integer. Perfect squares are sums that are the products of integers multiplied by themselves, to put it simply. A perfect square is typically expressed as x², where x is an integer and x²'s value is a perfect square.
Imperfect squares: Numbers with fractional or decimal square roots are considered imperfect squares.
Therefore, the square number, sometimes known as a perfect square, is an integer that is the square of another integer and numbers with fractional or decimal square roots are considered imperfect squares.
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What’s the correct answer for this?
Answer:
The third one.
Step-by-step explanation:
David saves $25.78 to buy a video game. After he buys the video game, he has $3.04 leftover. How much does David spend on the video game?
Answer:
i think it is 22.75 dollars
Step-by-step explanation:
Write your question here keep it simple and clear
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12 + 12 + 18 + 18 = 60
The perimeter is 60 cm
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30 - -5n + 16 + 3n =
Answer:
8n + 46
Step-by-step explanation:
Combine like terms. First, simplify the signs. two negatives directly next to each other equals one positive:
- (-5n) = + 5n
30 + 5n + 16 + 3n = (30 + 16) + (5n + 3n)
(30 + 16) = 46
(5n + 3n) = 8n
8n + 46 is your answer.
What are the coordinates of the roots of the equation 3+2x-x^2
Answer:
3+2x-x^3is the answer