Answers
Answer:
A.
Step-by-step explanation:
We have the expression \(\sqrt{x+4} -3=2\) and are asked which is the first step to solve it.
When doing equations, you always want to isolate x, now since x is stuck in a square root, we need to first get rid of the numbers outside the root. So -3, we would need to add three to both sides first. This step crosses out all other answers and leave us with A.
Related Questions
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answers
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They have had three local matches, a, c and d, and will attend a district match. District match points count for three times the number of points than local matches do. Choose the equation that would help Tisha find how many points they need to earn in the district match, b, to advance.
b equals T over 3 minus a minus c minus d
b equals T plus a plus c plus d all over 3
b equals T minus a minus c minus d all over 3
b = 3(T − a − b − d)
Answers
The points Tisha and her academic team would need to earn in the district match b to advance is;
Option C; b = (T - a - c - d)/3
We are given;Number of points required to go to the state finals = T points
Local matches are; a , c, d
District match; b
Now, district match points are three times the number of points for local matches. Thus district match points will now be 3bSince they require T points to qualify, if the number of points in each local match are a,b and c, with that of the district being b, then we can say that; a + c + d + 3b = TTo find the number of points they need to obtain in the district match, we will just make b the subject of the formula;3b = T - a - c - d
b = (T - a - c - d)/3
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Answer:
b = (T - a - c - d)/3
Step-by-step explanation:
if you invest 400 at 6 percent compounded monthly what is the balance after 7 years
Answers
The balance after 7 years if you invest 400 at 6 percent compounded monthly is 608.15 units.
How to find the balance when money is compounded monthly?You invest 400 at 6 percent compounded monthly . The balance after 7 years can be calculated as follows:
Therefore, using compound interest formula, let's find the amount.
\(A = p(1 + \frac{r}{n} )^{nt}\)
where
A = amountp = principalr = ratet = timen = number of timesTherefore,
r = 6 / 100 = 0.06
t = 7 years
p = 400
n = 12
Therefore,
\(A = 400(1 + \frac{0.06}{12} )^{12(7)}\)
A = 400(1 + 0.005)⁸⁴
A = 608.15 units
Therefore, the balance is 608.15 units
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Need help with these two questions please
Answers
Answer:
B, D, F, GDStep-by-step explanation:
1.The true statements more or less speak for themselves.
The only value that has the same log for different bases is log(1) = 0 = ln(1). This means the first statement (A) is false.
The inverse function of y = e^x is found by swapping x and y:
x = e^y
Taking natural logs of this equation gives you ...
ln(x) = y
Hence the equations of B are, in fact, inverses.
Statement D is true, rendering statement C false.
The expressions in statement E are, in fact, equivalent, rendering E false.
Statement F shows the meaning of ln( ).
Statement G is a restatement of B. If two functions are inverses, their composition is x, the original argument.
The true statements are B, D, F, G.
__
2.The relevant rules of logarithms are ...
log(a^b) = b·log(a)
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
Using these rules on the given expression, we have ...
ln(x^4y/z) = ln(x^4y) -ln(z) = ln(x^4) +ln(y) -ln(z)
= 4ln(x) +ln(y) -ln(z) . . . . . matches choice D
hi guys please help me
what is the reciprocal of 3 5/9
Answers
Answer:
9/32
Step-by-step explanation:
3 5/9
=> (27+5)/9
=> 32/9
Reciprocal of 32/9 is,
=> 9/32
How to find a relationship on a graph.
Answers
The equation that represents the relationship on the graph attached below is: y = 4/5x + 3.
How to Find the Relationship on a Linear Graph?Given a linear graph like the one attached below, showing the relationship between x and y, the equation that represents the relationship between x and y in the given graph can be expressed as: y = mx + b, where m is the slope (m) and b is the y-intercept (b) of the graph.
In the given image, the line intercepts the y-axis at 3, therefore the y-intercept of the graph is b = 3.
The slope of the graph (m) = change in y / change in x = (11 - 7)/(10 - 5)
m = 4/5
To write the equation of the relationship, substitute m = 4/5 and b = 3 into y = mx + b:
y = 4/5x + 3
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Need help with the provided questions
Answers
solve the proportion 4/3 is equal to 9 / X
Answers
We need to solve for X.
The proportion is:
\(\frac{4}{3}=\frac{9}{X}\)To solve for X, we cross multiply and then use algebra to solve. The process is shown below:
\(\begin{gathered} \frac{4}{3}=\frac{9}{X} \\ 4\times X=3\times9 \\ 4X=27 \\ X=\frac{27}{4} \end{gathered}\)please help!!
Multiple Representations Hexagon
ABCDEF has vertices A(-2, 4), B(0, 4), C(2, 1),
D(5, 1), E(5, -2), and F(-2, -2). Sketch the
figure on a coordinate plane. What is the
area of the hexagon?
Answers
Answer: area = 30 square units
The diagram is below. Ignore point G and the red dashed line when drawing the final hexagon needed.
======================================================
Explanation:
On the grid your teacher has given you, plot the 6 points. Then connect them to form hexagon ABCDE. All of this is shown in blue in the diagram below.
Let's add point G as shown in red. I'll connect G to point C with a red dashed line. These will be temporary and erased later. Though if your teacher doesn't mind you leaving it in (so you can show your steps), then its probably not a bad idea to keep it. It's best to ask your teacher.
Anyways, the red segment GC splits the original hexagon into a trapezoid up top and a rectangle down below.
------------
The trapezoid has the parallel bases of b1 = GC = 4 and b2 = AB = 2. The height is h = GA = 3
This leads to,
area = h*(b1+b2)/2
area = 3*(4+2)/2
area = 3(6)/2
area = 18/2
area = 9
Trapezoid ABCG has area of 9 square units.
-----------
The rectangle has length EF = 7 and width ED = 3
area = length*width
area = 7*3
area = 21
Rectangle DEFG has area of 21 square units.
------------
Add up those two area results to get the area of the overall hexagon.
trapezoid + rectangle = 9 + 21 = 30 square units.
Darla wants to draw her family tree on a rectangular piece of paper. She has a large piece of paper that is 400 square inches. a. Write the prime factorization of 400.
Answers
The prime factorization of 400 is 2² × 2² × 5².
What is factotization?Factorization is the process of breaking a number, expression, or polynomial into its factors. Factors are the numbers that are multiplied together to make a larger number. Factorization is the opposite of expansion, which is the process of multiplying factors together to make a larger number. Factorization is used in algebra, number theory, and many other areas of mathematics. It is a powerful tool that can be used to simplify equations and solve problems.
This means that 400 can be written as 2² × 2² × 5², which is the product of two squared numbers (2² and 2²) and one squared number (5²) multiplied together.
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i have like 2 minutes left can u help
Answers
Answer:
B
Step-by-step explanation:slope= (13-9)/(3-1) = 4/2 = 2
y-intercept= 9 - (2)(1) = 7
Explain what AB means and what AB/ means. How are these two meanings related?''
Answers
AB vector is a vector whereas AB bar is a line segment.
What is a vector ?
The vectors are described as an object containing both significance and course. Vector describes the motion of an item from one point to any other. Vector math may be geometrically picturised via the directed line segment.
The duration of the phase of the directed line is known as the value of a vector and the angle at which the vector is inclined shows the path of the vector. The start line of a vector is referred to as “Tail” and the finishing factor (having an arrow) is referred to as “Head.”
The difference is in their names itself.
AB vector is a vector whereas AB bar is a line segment.
A vector has a direction and a magnitude while a line segment ( scalar ) has only magnitude.
Therefore, AB vector is a vector whereas AB bar is a line segment.
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bernie paid 14.50 to buy 5 paperback books and 1 hardcover book. paz paid 30.50 to buy 4 paperback books and 5 hardcovers books.the prices for all hardcover books were the same,and the price for all paperback books were. The same.what was the price of a hardcover book?
Answers
The amount for a hardcover book was the same for both Bernie and Paz, and was equal to 30.50 - 14.50 = 16.00 dollars.
The price for a hardcover book was the same for both Bernie and Paz, and was equal to 30.50 (the amount Paz paid for her books) minus 14.50 (the amount Bernie paid for his books). This gives us a total of 16.00 dollars, which is the price of a single hardcover book. Bernie and Paz both paid the same price for all of their paperback books, which means that the price of a paperback book must have been 14.50/5 = 2.90 dollars. Similarly, Paz paid 30.50/5 = 6.10 dollars for each of her hardcover books. This demonstrates that the price of a hardcover book was higher than the price of a paperback book, as 16.00 is greater than 2.90. This means that Bernie and Paz paid a total of 11.50 dollars (5 paperback books at 2.90 dollars each, and 1 hardcover book at 16.00 dollars) and 27.50 dollars (4 paperback books at 2.90 dollars each, and 5 hardcover books at 6.10 dollars each) respectively.
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Refer to the table below to answer problems 25-27.
(TABLE) Mark's Personal Running Records Distance Time (minutes:seconds)
1/4 mile: 0:58
1/2 mile: 2:12
1 mile: 5:00
If Mark set his 1-mile record by keeping a steady pace, then what was his 1/2 -mile time during the 1-mile run?
Answers
Answer:
it will be 2:50
Step-by-step explanation:
Measuring your fitness level regularly is one way to find out if you're making progress. Most fitness centers have trained staff who can evaluate your body composition, muscular strength and endurance, flexibility, and cardiovascular endurance, but it can be pricey. If you don’t have access to all the toys and tools of your gym, don’t panic. You have everything you need to measure your fitness level in your own house!
This One-Mile Walking Test measures your aerobic (cardiovascular) fitness level based on how quickly you are able to walk a mile at a submaximal (moderate) exercise intensity.
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
Answers
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answers
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!
Which of the following could be the lengths of the sides for a triangle that is similar to the triangle shown?
Answers
Step-by-step explanation: {KILLA KWEEN} DAISAN NO BAKUDAN--/|BITES ZA DUSTO|\
what is the probability that either event will occur?
Answers
The probability that either event will occur is P ( C ) = 0.89
Given data ,
Let the probability that either event will occur be P ( C )
P ( A ) = 20/36
P ( B ) = 12/36
where P ( A or B ) = P ( C )
P ( C ) = P ( A ) + P ( B )
P ( C ) = 32/36
P ( C ) = 0.88888
Hence , the probability is P ( C ) = 0.89
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Expresa el siguiente número 14322000000000000 en notación científica *
Answers
Answer:
14322 * 10¹²
1.4322 * 10¹⁶
Step-by-step explanation:
14322000000000000
14322 * 10¹²
1.4322 * 10¹⁶
1.25 +1.25+1.25+1.25
Answers
Answer:
5
Step-by-step explanation:
1.25+1.25+1.25+1.25=5
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
Answers
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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Marlon is mixing blue paint and yellow paint in the ratio of 2:3 to make green paint. If he uses 8 liters of blue paint, how many liters of yellow paint will he need?
Answers
Answer:
12
Step-by-step explanation:
For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?
Answers
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
The bakers at Healthy Bakery can make 300 bagels in 10 hours. How many
bagels can they bake in 14 hours? What was that rate per hour?
PLEASE HELP!!!! I AM NOT GOOD AT MATH!!!
Answers
All you have to do is divide 300 by 10 to get you bagels per hour
Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. [ Please Show me on paper].
Answers
Answer:
x = -3
Step-by-step explanation:
f(x)= x + 3
0 = x + 3
-x = 3
x = -3
A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
Answers
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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Pls hurry I’m being timed
Answers
Answer:
I think the answer is A
Step-by-step explanation:
makes sense
PLEASE HELP! BRAINLIEST
Find (w ∘ w)(−1) for w(x)=3x^2+3x−3.
Answer: (w ∘ w)(−1)=
Answers
Answer:
15
Step-by-step explanation:
wow(-1) means w(w(-1))
so we can find out what w(-1) is
3(-1)^2+3(-1)-3=3-3-3
which is -3
then we can find w(-3)
3(-3)^2+3(-3)-3
which is 15
The perimeter of a rectangle is 54 inches and the length of one of its sides 6 inches. What is the combined length of the other three sides, in feet?
Answers
Answer:
4 ft
Step-by-step explanation
the combined length of the other three sides can be found with 54-6 is 48 inches
48 inches can be turned into feet by dividing by 12.
48in / 12=4ft
Krista designs quilts using the pattern shown. The table of values describes the shaded area of the pattern in square units, y, as a function of the length of a side,X units. Which equation describes this relationship?
Answers
The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²
Modeling relationship between two variablesSide length, x = 1,3,4,5,8
Shaded Area, y = 0.5, 4.5, 8, 12.5, 32
The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c
a = 0.5 ; b = 0 ; c = 0
Therefore, the quadratic function can be written as y = 0.5x²
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