Answer:
-62
Step-by-step explanation:
One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:
- (15 + 47)
- (62)
Remove the parentheses
-62
Fill in the blanks. If a quadrilateral is both a __ and a __ , then it is a square.
Answer: rhombus and parralelogram
Step-by-step explanation:
Answer:
rhombus and parralelogram
Step-by-step explanation:
How are the characters developed in the passage? 1. Through their actions 2. Through dialogue 3. Through description 4.through flashback (History)
Answer:
1
Step-by-step explanation:
Characters are developed in the passage through their actions. Therefore, option A is correct.
What are the characters in a passage?Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.
A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.
Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.
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A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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I need help on this During the spring, Nina Milling assembles bicycles at The Wheeler Dealer. She is paid $12.00 for each bicycle assembled during a regular work week, $14.00 for each bicycle assembled on a Saturday, and $16.00 for each bicycle assembled on a Sunday. What is her total pay for a week in which she assembled the following number of bicycles? Mon. Tues. Wed. Thurs. Fri. Sat. Sun. 4 7 6 10 8 4 5
Answer:
$556
Step-by-step explanation:
4+7+6+10+8=35
35x12=420
4x14=56
5x16=80
420+56+80=556
Answer:
$556.
Step-by-step explanation:
So she is paid $12 dollars for every bicycle assembled on a weekday,
paid $14 dollars for every bicycle assembled on Saturday, and is
paid $16 dollars for every bicycle assembled on Sunday.
She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.
In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.
In other words, her total pay is:
\(\$12(35)+\$14(4)+\$16(5)=\$556\)
The level of a pond receded at the rate of 4 centimeters per day. Find the change in the water level of the pond after 7 days.
Answer:
28 centimeters
Step-by-step explanation:
The level of the pond is dropping each day by 4 cm. 7 days passed, and each day it was dropping at a constant rate. In order tto find how many centimeters the level of the pond dropped in 7 days, you have to multiply the days passed by the amount dropped each day.
So, 7 days times 4 cm. a day= 28 centimeters dropped.
3x-2y=11 what is the solution
Answer: x=11/3-2y/3 y=11/2-3x/2
Step-by-step explanation:
Hector is giving an oral presentation about baking
chocolate chip cookies.
How should Hector end his presentation?
O by explaining materials needed
O by asking if there are questions
Oby stating what he is teaching
Oby providing the steps in order
Answer:
asking if there are any questions
Determine the equation of the parabola with focus
(
2
,
5
)
(2,5) and directrix
�
=
18
x=18.
The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².
A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating
straight line of that surface.
The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.
The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.
The axis of symmetry is the line through the focus and perpendicular to the directrix.
The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens
up" or "opens down.
The directrix is a fixed straight line used in the definition of a
parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the
distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's
the solution to the given problem:
The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)
The vertex is (h,k) = ((18+2)/2,5) = (10,5)
Then we can use the following formula: (x - h)² = 4p(y - k)
Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)
Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)
The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).
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Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What is the minimum score you would need to be in the top 7%? 0.93 1.48 85.4 81.4
the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.
First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.
Next, we can use the formula for transforming a z-score to a raw score:
raw score = z-score * standard deviation + mean
Substituting the values given in the problem, we get:
raw score = 1.48 * 6.1 + 76.4
raw score = 85.48
Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.
In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.
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anthony uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he mane with 1 pint of lemon juice
Answer:
Therefore, he can make 2 batches of lemonade with 1pint of lemon juice
Anthony can make 2 batches of lemonade with 1 pint of lemon juice.
In this problem, we'll determine how many batches of lemonade Anthony can make using a given amount of lemon juice. We'll be using the fact that 1 pint is equivalent to 16 fluid ounces.
Step 1: Convert Pints to Fluid Ounces
Since 1 pint is equal to 16 fluid ounces, we need to convert the given 1 pint of lemon juice into fluid ounces.
1 pint = 16 fluid ounces
Step 2: Calculate Batches
Now that we know 1 pint is equal to 16 fluid ounces, we can find out how many batches of lemonade Anthony can make using 8 fluid ounces of lemon juice per batch.
Number of batches = Total fluid ounces / Fluid ounces per batch
Substitute the values:
Number of batches = 16 fluid ounces / 8 fluid ounces per batch
Number of batches = 2 batches
Therefore, Anthony can make 2 batches of lemonade using 1 pint of lemon juice, given that he uses 8 fluid ounces of lemon juice in each batch.
This calculation ensures that he has enough lemon juice for the desired number of batches without any wastage.
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f(x) = x2 + 2x - 5
g(x) = -3x2 - 4x + 1
What is f(x) – g(x)?
Answer: x is 9, g is 41 and f is 6
Step-by-step explanation:
if 5 oz of a solution contains 4 1/2 oz of water, how many ounces of water are in 20 oz of solution?
5 oz of a solution contains 4 1/2 oz of water. 20 oz of solution contains 18 oz of water.
We can set up a proportion to solve this problem:
5 oz of solution contains 4 1/2 oz of water, which means that 5 - 4 1/2 = 1/2 oz of the solution is not water.
So the ratio of water to solution is:
4 1/2 oz / 5 oz = x oz / 20 oz
where x is the number of ounces of water in 20 oz of solution.
Cross-multiplying, we get:
5 * x = 4 1/2 * 20
x = (4 1/2 * 20) / 5
x = 18 oz
Therefore, 20 oz of solution contains 18 oz of water.
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10. How many times smaller
is 0.98 than 9.8?
Express the trig ratios as fractions in simplest terms
Help asap please!!!!
The value of the identities are;
cos F = 19/20
sin E= √39/20
sin E and cos F are not equal
How to determine the value of the identitiesThe different trigonometric identities in mathematics also have their different ratios. They are;
sinecosinetangentsecantcosecantcotangentTheir ratios are fractions given as;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
From the information given, we have that;
cos F =
Opposite = 19
Hypotenuse = 20
cos F = 19/20
The value of sin E
sin E = 39/20
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1. Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true
statements,
G
12
H
C6 D
4
00
В.
D
3
F
a. Segment EF is twice as long as segment AB.
b. Segment CD is twice as long as segment
FG
c. The measure of angle HEF is twice the
measure of angle DAB
d. The length of segment FH is 16 units.
e. The area of EFGH is twice the area of
ABCD.
А
E
A
B
С
E
Answer:
A and D
Step-by-step explanation:
Given that EFGH is a scaled copy of ABCD, EFGH is similar to ABCD. The ratio of the corresponding lenght of their segments are equal, and therefore have the same scale factor.
This means: \( \frac{EF}{AB} = \frac{FG}{BC} = \frac{GH}{CD} = \frac{EH}{AD} \)
We are given only the length of segment GH = 12. GH corresponds with segment CD = 6, therefore:
Scale factor = \( \frac{GH}{CD} = \frac{12}{6} = 2 \).
This implies that all length segments of ABCD was increased by 2 to get a scale copy of EFGH.
Angles in EFGH will have the same measures of degree as the corresponding angles in ABCD, because, it would have the same shape but only different in size.
The following statements are therefore true:
A. Segment EF is twice as long as segment AB. (Scale factor = 2)
D. The length of segment EH is 16 units. (EH = 2*AD = 2*8 = 16)
The measure is OCP, please.
Answer:
54
Step-by-step explanation:
Complete the following conversions and show your steps.
a. 36, 000 stadia = _____________km. b. 129 yojanas = _____________km
a. 36, 000 stadia = 5,664 km. b. 129 yojanas = 1,987 km. Stadia was an ancient unit of length, equal to about 185 meters. It was used in Greece, Rome, and other parts of the Mediterranean world.
Yojana was an ancient unit of length, equal to about 13 kilometers. It was used in India and other parts of Asia.
a. 36, 000 stadia = 5,664 km
1 stadia = 0.1575 km
36,000 stadia x 0.1575 km/stadia = 5,664 km
b. 129 yojanas = 1,987 km
1 yojana = 13.2 km
129 yojanas x 13.2 km/yojana = 1,987 km
To convert from stadia to kilometers, we can use the following conversion factor:
1 stadia = 0.1575 km
To convert from yojanas to kilometers, we can use the following conversion factor:
1 yojana = 13.2 km
In addition to the above, here are some additional information about stadia and yojanas:
Both stadia and yojanas are no longer in use as official units of measurement, but they are still sometimes used in historical and archaeological contexts.
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What is 10+9+10-8+100+8436+8-6*5+6÷3
you can not use a cauculator if you do i deleting your answer
Answer:
8,537
Step-by-step explanation:
-6*5 =-30
6/3 = 2
if you add all of that together and subtract -8 (which is in the problem) you'll get 8,537
Just follow the steps in PEMDAS
Answer:
8537
Step-by-step explanation:
We have to solve this according to the BODMAS theorem.
B ⇒ Brackets
O ⇒ order
D ⇒ Division
M ⇒ Multiplication
A ⇒ Addition
S ⇒ Subtraction
Let us solve it now.
10 + 9 + 10 - 8 + 100 + 8436 + 8 - 6 * 5 + 6 ÷ 3
10 + 9 + 10 - 8 + 100 + 8436 + 8 - 6 * 5 + 2
10 + 9 + 10 - 8 + 100 + 8436 + 8 - 30 + 2
19 + 10 - 8 + 100 + 8436 + 8 - 30 + 2
29 - 8 + 100 + 8436 + 8 - 30 + 2
21 + 100 + 8436 + 8 - 30 + 2
121 + 8436 + 8 - 30 + 2
8557 + 8 - 30 + 2
8565 - 30 + 2
8535 + 2
8537
4. Which of the following is an arithmetic sequence?
A. 4, 1, -2,-5, -8 B.4,-12, 36, -108
What is the equation on the graph?
Please help!!!
Answer:
y = -1/4x + 2
Step-by-step explanation:
using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2
A shelter has 25 bags of cat food. Each serving of cat food is 1/8 of a bag.
How many servings of cat food are there in the bags in the pantry?
Answer:
200 servings.
Step-by-step explanation:
Divide number of bags by how much of a bag a serving is.
25/1/8
Multiply original number by reciprocal of what you are trying to divide it by. (This makes dividing fractions easier)
25*8/1=200
There are 200 servings of cat food.
Answer:
200
Step-by-step explanation:
i took the test hope this helps
The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is the distance that the particle traveled on this time interval?
Answer:
0.44237 units
Step-by-step explanation:
Given
\(v(t) = e^t*sin(e^t)\)
\(0 \le t \le \frac{\pi}{2}\)
Required
The distance traveled in this interval
We have:
\(v(t) = e^t*sin(e^t)\)
The distance is calculated as:
\(d(t) = \int\limits^a_b {v(t)} \, dt\)
So, we have:
\(d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt\)
Let:
\(u = e^t\)
Differentiate
\(\frac{du}{dt} = e^t\)
So:
\(dt = e^{-t} du\)
So, we have:
\(d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt\)
\(d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du\)
Rewrite as:
\(d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du\)
\(d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du\)
Integrate:
\(d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0\)
Substitute \(u = e^t\)
\(d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0\)
Split
\(d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)]\)
\(d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)\)
\(d(t) = -0.09793 + 0.5403\)
\(d(t) = 0.44237\)
The distance traveled in this interval is: 0.44237 units
dt =
d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt
The cost of 55 gallons of ice cream has a variance of 3636 with a mean of 3636 dollars during the summer. What is the probability that the sample mean would differ from the true mean by less than 0.60.6 dollars if a sample of 107107 5-gallon pails is randomly selected
To calculate the probability that the sample mean would differ from the true mean by less than 0.6 dollars, we need to use the Central Limit Theorem (CLT) since the sample size is large (n = 107).
According to the CLT, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the original population distribution, when the sample size is sufficiently large.
Given that the variance of the cost of 55 gallons of ice cream is 3636 and the sample size is 107, we can calculate the standard deviation of the sampling distribution (also known as the standard error) using the formula:
Standard Error (SE) = sqrt(Variance / Sample Size)
SE = sqrt(3636 / 107)
SE ≈ 5.960
Next, we want to find the probability that the sample mean would differ from the true mean by less than 0.6 dollars. This can be interpreted as finding the probability within a certain range around the mean in a normal distribution.
To calculate this probability, we need to standardize the range by converting it into a z-score.
Z = (X - μ) / SE
where X is the value of interest (0.6 dollars in this case), μ is the true mean (3636 dollars), and SE is the standard error (5.960 dollars).
Z = (0.6 - 3636) / 5.960
Z ≈ -607.073
Since the z-score is extremely negative, the probability of the sample mean differing from the true mean by less than 0.6 dollars is almost 0.
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. let s be the subspace of c[a, b] spanned by ex , xex , and x2ex . let d be the differentiation operator of s. find the matrix representing d with respect to [ex , xex , x2ex ].
D(ex) = ex = 1.ex + 0.xex + 0.x2ex
D(xex) = ex + x.ex = 1.ex + 1.xex + 0.x2ex
D(x2ex) = x2ex + 2x.ex = 0.ex + 2.xex + 1.x2ex
So the matrix is:
1 0 0
A = 1 1 0
0 2 1
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Find the value of the expression: -4.65 + 8.3 - (-2.35)
Answer:the answer is 6
Step-by-step explanation:
Zey can buy socks online for $3.50 a pair plus a $6 shipping charge. A local store
sells socks for $5 a pair.
The graph represents the total cost depending on the number of pairs of socks
purchased
Choose the two statements that are true about the graph
In this situation, it is true buying three pairs of socks costs less at the store and buying fout pairs costs the same online and in the store.
How much does it cost to buy three pairs?Store: $5 x 3 = $15
Online: $3.50 x 3 = $10.5 + $6 = $16.5
This shows buying three pairs cost less at the store, which makes the first statement correct.
How much does it cost to buy 4 pairs?Store: $5 x 4 = $20
Online: $.3.50 x 4 = $14 + $6 = $20
This shows buying four pairs is the same in the store or online.
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A standard size volleyball court has an area of 1,800 square feet. the length of the court is 60 feet . what is the width of the court
Answer: 30
Step-by-step explanation: If you divide your area (1800) by 60 you'll get your width which is 30. To check your answer you can multiply 30 by 60 and you will get 1800.
please answer with working
k10 points) A satellite traveling at a speed of 1.2 x 100 kilometers per second has travelled 4.6 x 1042 kilometers. How long did it take the satellite to cover this distance?
The satellite took approximately 3.83 x 10⁴⁰ seconds to cover a distance of 4.6 x 10⁴² kilometers.
To calculate the time it took for the satellite to cover a distance of 4.6 x 10⁴² kilometers at a speed of 1.2 x 10² kilometers per second, we can use the formula:
Time = Distance / Speed
Plugging in the given values:
Time = (4.6 x 10⁴² km) / (1.2 x 10² km/s)
To simplify the calculation, we can rewrite the numbers in scientific notation:
Time = (4.6 x 10⁴²) / (1.2 x 10²) km/s
Dividing the coefficients and subtracting the exponents:
Time = 3.83 x 10⁴⁰ s
Therefore, it took the satellite approximately 3.83 x 10⁴⁰ seconds to cover the given distance.
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Find f(3) for the
piece-wise function.
f(x) =
2x
HIN
X
+
if x < 1
if x ≥ 1
f(3) = [?]
Enter
The value of the piecewise function for f(3) is 4
How to evaluate the piece-wise function for f(3)From the question, we have the following parameters that can be used in our computation:
f(x) = 2x if x < 1
f(x) = 1/2x + 5/2 if x >= 1
The function f(3) implies that we make use of the function
f(x) = 1/2x + 5/2
This is because it is valid for x >= 1
substitute the known values in the above equation, so, we have the following representation
f(3) = 1/2 * 3 + 5/2
Evaluate
f(3) = 4
Hence, the piecewise function for f(3) is 4
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Write a function that models y in terms of x. Round any coefficients to the nearest tenth. x 0 5 10 15 20
y 0 4.02 5.69 6.97 8.05
The function that models y in terms of x is y=0.804x
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=4.02-0/5-0
m=4.02/5 = 0.804
Now let us find y intercept
0=0.804(0)+b
b=0
Hence, the function that models y in terms of x is y=0.804x
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