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
(Diversifying Portfolios MC)
Two investment portfolios are shown with the amount of money placed in each investment and the ROR.
Investment
Tech Company Stock $2,800
Government Bond $3,200
Junk Bond
$950
Common Stock
$1,500
Portfolio 1 Portfolio 2
$1,275
$2,200
$865
$1,700
O Portfolio 2 earns $38.17 more.
Which portfolio earns the most, and by how much?
O Portfolio 1 earns $38.17 more.
O Portfolio 1 earns $76.20 more.
ROR
-3.75%
2.95%
4.56%
O Portfolio 2 earns $76.20 more..
7.18%
Answer: Portfolio 1:
Tech Company Stock: $2,800 * 2.95% = $82.60
Government Bond: $3,200 * 4.56% = $145.92
Total return for Portfolio 1 = $82.60 + $145.92 = $228.52
Portfolio 2:
Junk Bond: $950 * (-3.75%) = -$35.63
Common Stock: $1,500 * 7.18% = $107.70
Total return for Portfolio 2 = -$35.63 + $107.70 = $72.07
From the calculations, we can see that Portfolio 1 earns $228.52 in returns, while Portfolio 2 earns $72.07. Therefore, Portfolio 1 earns $228.52 - $72.07 = $156.45 more than Portfolio 2.
Step-by-step explanation:
for a time-series plot, what is emphasized if the vertical axis starts at a nonzero value?
Answer:
The changes in the variable described by the vertical axis are being emphasized.
Step-by-step explanation:
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.
What is volume?Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.
For the given dimensions of the bags we have:
1. The volume of the black bag is:
18 x 12 x 8 = 1728 cubic inches
2. The volume of the blue bag is:
18 x 15 x 10 = 2700 cubic inches
3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.
4. The ratio of bigger suitcase to smaller suitcase is:
75 x 20 x 18 = 27000 cubic inches
25 x 8 x 9 = 1800 cubic inches
27000 / 1800 = 27
The bigger suitcase is 27 times larger than the smaller suitcase.
5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:
720 = 10 x 9 x H
720 = 90H
H = 8 inches
The maximum amount of watermelons that can fit are:
27000 / 720 = 37.5 watermelons = 37 watermelons.
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Find the value of x, if the mean of 17, 22, 18, 21 and x is 20
Answer:
X=22Step-by-step explanation:
This may be confusing but bear with me
20=(x+17+22+18+21)/5 is our equation because
20 is our mean and we are adding all of our values and diving by how many values we have. we have 5 values
we multiply 5 by 20 to cancel the dividing 5 on the right so
100=x+17+22+18+21
To make this simpler we can add all of the values (except x) so
100=x+78
lets subtract 78 from 100
22=x or x=22
I hope this helped
16.*
X.
Solve for
3x + 12 = -12
1.x = -8
2.x=-4
3.x=0
4.x=8
Answer:
1.x=-8
Step-by-step explanation:
3x+12=-12
-12 -12
3x=-24
/3 /3
x=-8
8) Given Similar Triangles, find x.
8
Answer:
×=14
Step-by-step explanation:
24÷16=1.5
21÷1.5=14
solve 49x + 9 = 49x + 83. write two equations in one variable that have the same number of solutions as this equation.
Answer:
It has infinity solutions.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation 49x + 9 = 49x + 83 has no solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 4 is an equation.
2x + 4x + 5 = 7 is an equation.
We have,
49x + 9 = 49x + 83
Solving for x we get,
49x + 9 = 49x + 83
Subtract 49x on both sides.
9 = 83
This is not true.
This condition is a system of equations where there are no solutions.
Thus,
The equation 49x + 9 = 49x + 83 has no solutions.
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Homework help!!!!!!!!
Answer:
u=-1
Step-by-step explanation:
if you replace with a or b the answer on the left side is actually bigger since it is closer to 0 than -20. same with choice d
choice c makes -12-28 which is a smaller value than -20
Alyssa is 1. 65 meters tall. At 11 a. M. , she measures the length of a tree's shadow to be 27. 75 meters. She stands 23. 5 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of the tree to the nearest hundredth of a meter is 10.77m.
Detailed explanation:
An illustration of identical triangles is shown in the diagram. View the illustration I included with my response to see how triangles can be used to solve this issue.
Because they both share an internal angle, the triangles made by Alyssa and her shadow and the triangle created by the tree and its shadow are examples of comparable triangles.
The ratios of the comparable sides on both sides are proportionate according to the similar triangles theorem.
Therefore, in order to determine the height of the tree, we must make a percentage of the corresponding sides of both triangles. Let x equal the tree's height.
\(\frac{BE}{BC} =\frac{DE}{AC}\)
BE = 4.25 meters
DE = 1.65 meters
BC = 27.75 meters
AC = x meters
\(\frac{4.25}{27.75} =\frac{1.65}{x}\)
Cross multiply is now used to find x.
4.25x= 1.65(27.75)
x = 10.77
Therefore, the height of the tree is 10.77 meters.
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Complete question:
Alyssa is 1. 65 meters tall. At 11 a. M. , she measures the length of a tree's shadow to be 27. 75 meters. She stands 23. 5 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Real-life Problems Question 10
Answer :
a) It is given that
Everyday a machine makes 500000 staples and puts them into the boxes.
The machine need 170 staples to fill a box
One box contans = 170 staples.
Total number of staples = 500000
Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.
\( \: :\implies \) 500000 /170
\( :\implies \: \) 2941 (approx)
Therefore, 2941 boxes are required to fill with 500000 staples.
b) It is given that,
Each staple is made of 0.21 g of metal .
Total weight of metal = 1 kg = 1000 g
1 staple = 0.21 g
Number of staples = weight of metal/ Weight of 1 staple.
\( \: :\implies \) 1000/0.21
\( \: :\implies \) 4761 (approximately)
Therefore, 4761 staples can be made from 1 kg of the metal.
Which expression is equivalent to (r^-7)^6?
Answer:
Step-by-step explanation:
Answer:
\(\frac{1}{r^4^2}\) (option B)
Step-by-step explanation:
\(\left(a^b\right)^c=a^{bc},\)
So, we need to first multiple -7 × 6 (= -42)
our new value is \(r^{-42\\}\)
\(\:a^{-b}=\frac{1}{a^b}\)
So, we simplify \(r^{-42\\}\) to \(\frac{1}{r^4^2}\)
Georgia and her classmates also measured their foot length.
Use a pencil to find the trend line. Sketch the trend line for the
scatter plot.
Foot Length (in.)
A linear regression model is used to show the relationship between variables on a scatter plot
How to determine the scatter plotThe question is incomplete. So, I will make use of a dataset that has the following calculation summary (from a graphing calculator)
Sum of X = 45Sum of Y = 83Mean X = 4.5Mean Y = 8.3Sum of squares (SSX) = 82.5Sum of products (SP) = 128.5The equation of the trend line is:
\(\^y = 1.56\^x+ 1.29\)
See attachment for the scatter plot
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Question:
Solve the given equation for h
B=V/h
Answer:
h=V/B
Step-by-step explanation:
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
35 is a reasonable prediction of the number of times he will select 2 yellow socks?
what is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
What is event?In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.
In the given question,
The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:
P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25
So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.
To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:
E(X) = n * p
where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.
In this case, n = 175 and p = 1/25. So,
E(X) = 175 * (1/25) = 7
Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.
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Find the quadratic function whose graph is shown to the right. Write the function in the form f(x)=a(x−h)2+k.
Help
The quadratic equation f(x) = - (x + 2)² + 17 represents the graph shown.
¿What is the quadratic equation that represents a graph?
In this problem we have the definition of a quadratic equation in its vertex form, whose definition is explained below:
f(x) = a · (x - h)² + k
Where:
a - Vertex constant.(h, k) - Vertex of the parabola.We need to determine the quadratic equation related to a graph shown.
First, determine the coordinates of the vertex:
(h, k) = (- 2, 17)
Second, find the vertex constant:
a = [f(x) - k] / (x - h)²
a = (13 - 17) / (0 + 2)²
a = - 4 / 4
a = - 1
Third, write the resulting function:
f(x) = - (x + 2)² + 17
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what fraction is next in pattern 1/8, 1/4, 3/8, 1/2 ?
Answer: 5/8
Step-by-step explanation:
Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)
Y=?
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.I don’t know the answer please help me
Answer:
38
Step-by-step explanation:
So fill in the variables and solve from there:
(5)(4)+2(3)^2 = ?
20 + (2)(9) = ?
20 + 18 = ?
? = 38
A dilation is a transformation in which the _____, but not the shape, of a geometric figure is changed.
Mark the following numbers on the number line below.
8 1/2. 9 3/4. 40/5. 44/5
Answer:
If this helpful
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A client at a weight loss clinic lost 18.5 pounds (lb) in 4 weeks. If he loses the same amount of weight each day, how much weight does he lose per day? (Round your answer to 3 decimal places)
Answer:
0.007 pounds a day
Step-by-step explanation:
if he loses 18.5 pounds in 4 weeks then each week has 7 days so you divide 18.5 by 7 four times. HOPE THIS HELPS :)
What is the value of c?
Answer:
Step-by-step explanation:
Explanation:
Since it is a right triangle and we are given the two shorter legs, the hypotenuse is found by
c
2
=
a
2
+
b
2
c
2
=
10
2
+
24
2
=
100
+
576
=
676
c
=
√
676
=
26
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
Given the vertices, determine the quadrilateral's most specific classification.
A(5, -3) B(7, 1) C(9, -3) D(-7, 7)
Simplify expression sec×sin(-×)+tan(-x) over 1+sec(-×)
Answer:
-tan(x)/sin^2(x).
Step-by-step explanation:
To simplify the expression:
sec(x)sin(-x) + tan(-x)
1 + sec(-x)
We can use the fact that sin(-x) = -sin(x), cos(-x) = cos(x), and tan(-x) = -tan(x) to rewrite the expression as:
-sec(x)sin(x) - tan(x)
1 + sec(x)
Next, we can multiply both the numerator and denominator by the conjugate of the denominator, 1 - sec(x), to eliminate the square root in the denominator. This gives:
(-sec(x)sin(x) - tan(x))(1 - sec(x))
(1 + sec(x))(1 - sec(x))
Simplifying the numerator by distributing and combining like terms, we get:
-sec(x)sin(x) + sec(x)tan(x) + tan(x) - sec(x)tan(x)
1 - sec^2(x)
Simplifying further by canceling out the sec(x)tan(x) terms in the numerator, we get:
-tan(x)
1 - sec^2(x)
Finally, we can use the identity 1 - sec^2(x) = sin^2(x) to rewrite the denominator and simplify further:
-tan(x)
sin^2(x)
Therefore, the simplified expression is -tan(x)/sin^2(x).
help, I need help really bad
Answer:
135
Step-by-step explanation:
you need to explain the actual question and not put an image without context
Answer:
angle a = 70
angle b = 45
angle c = 65
Step-by-step explanation:
Now we will try to find the measure of the unknown angle together. Starting with angle b.
Angle b and 135 make a 180 angle together therefore the following expression.
angle b + 135 = 180
b = 45
Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.
a = 70
Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180
70 + 45 + c + 180
c = 65
The sum of 6 and w is greater than it equal to -26 ???
Answer:
6+w≥-26
Step-by-step explanation:
is this what you wanted?
Answer:
6+w≥-26
Step-by-step explanation:
Can anyone help me I don’t know what to do
Answer:
y=8
Step-by-step explanation:
5=-3+y
move the term
-y= -3-5
then calculate the difference
-y= -8
then change the signs
y=8
Answer:
5=-3+y
5=y-3
+3 +3 (add 3 on both sides) *where 5 and -3 are located at*
8=y would be your answer
Step-by-step explanation:
i just explained lol
Sue buys a house. Homeowner's insurance will cost $800 a year. She needs to pay 25% of this amount as her first payment. How much is her first payment? I assume $2,000
Given:
Cost of Homeowner's insurance = $800
Her first payment is 25% of $800.
⇒
\(\text{First payment=}\frac{25}{100}\times800\)\(=25\times8\)\(=200\)Therefore, her first payment is $200.
Jhumpa has $55 in her savings account. This is $21 more than
David. Write and solve an equation to find the amount David has in his savings account.
Step-by-step explanation:
$55 - $21=34 and to check answer do 34+21=55
david has 34 dollars less than jumps