A girl is swimming 1 meter below sea level and dives down another .5 meters. How far below sea level is she now?
Answers
Answer:
1.5 meters
Step-by-step explanation:
If she is already below sea level by 1 meter and she goes down .5 meters more, she would be 1.5 meters below the sea level.
Related Questions
A cuboid with a volume of 924 cm^3 has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Find the longest length of the Cuboid.
Answers
Answer:
21
Step-by-step explanation:
Volume of a cuboid is given by
V = l*w*h
924 = 4 (x+1) (x+11)
FOIL
924 = 4(x^2 +11x+x+11)
924 = 4(x^2+12x+11)
Divide each side by 4
231 = (x^2+12x+11)
Subtract 231 from each side
0 = x^2 +12x +11-231
0 = x^2 +12x - 220
Factor
0 = (x+22) (x-10)
Using the zero product property
x+22 =0 x-10 =0
x=-22 x=10
We cannot have a negative length
x=10
The side lengths are 4, 10+1, 10+11
4,11,21
The longest is 21
5n = 8n + 30
help me pleaseeeeee
Answers
1. Subtract 8n from both side to get -3n=30
2. Divide both sides by -3 to get n=-10
Answer:
n = -10
Step-by-step explanation:
5n = 8n + 30
you move 8n over by subtracting it from both sides
5n -8n = 8n -8n +30
add like terms
-3n = 30
then divid both sides by -3
-3n/-3 = 30/-3
n = -10
in the expression 7a + b-12 which is a constant
Answers
Answer: Its -12
Step-by-step explanation:
In Algebra, a constant is a number on its own.
Solve 56000(1+1.8%)^5
Answers
Answer:
The solution to this expression is 61,224.74
Step-by-step explanation:
To solve we initially have to convert the percentage to a decimal:
\(1.8\% = \frac{1.8}{100} = 0.018\)
So
56000*(1+1.8%)^5 = 56000(1+0.018)^5 = 56000(1.018)^5 = 61,224.74
The solution to this expression is 61,224.74
At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Applying the Solution to a 3X3 System
Show up all steps please
Answers
our equation now looks like
y = 2z, x=y+50 and xty+z= 400.
× = 190
y= 140
z= 70
Calculate the distance between the points (4,-2) and (7,-9)
Answers
The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.
The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
d = sqrt((7 - 4)^2 + (-9 - (-2))^2)
d = sqrt((3)^2 + (-7)^2)
d = sqrt(9 + 49)
d = sqrt(58)
Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
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Pleassseee really need help on these will give you branilist
Answers
The relationship between the cost and the time of travel is a proportional
relation, such that as the time increases, the cost also increase.
The correct responses are as follows;
1. \(\begin{tabular}{c|c|c|c|c}Years (t)&200&400&500\\Cost (c) &1,000&2,000&2,500\end{array}\right]\)Please find attached the graph of the cost to travel forward in time2. c = 5·t3. \(\begin{tabular}{c|c|c|c|c}Years (t)&200&400&500\\Cost (c) &1,000&2,000&2,500\end{array}\right]\)The graph of the cost to go backward in time is attached4. c = -15·t5. The sign of the constant of proportionality are different because the direction of travel are different.Reasons:
1. The amount charged per year for time travel = $5
The cost for 200 years travel = 200 × $5 = $1,000
The cost for 400 years travel = 400 × $5 = $2,000
Cost of 500 years travel = 500 × $5 = $2,500
The completed table is presented as follows;
\(\begin{tabular}{c|c|c|c|c}Years (t)&200&400&500\\Cost (c) &1,000&2,000&2,500\end{array}\right]\)
Please find attached the graph of the above data created with MS Excel
2. The equation for the graph is the equation that gives the cost, which is presented as follows;
Cost (c) = Years (t) × $5
Which gives the equation; c = 5·t
3. The amount charged to go backward in time = $15 per year
Therefore, we have;
Cost for -200 years = 200 × $15 = $3,000
Cost to go back 400 years = 400 × $15 = $6,000
Cost to go back 500 years = 500 × $15 = $7,500
The completed table is presented as follows;
\(\begin{tabular}{c|c|c|c|}Years (t)&-200&-400&-500\\Cost (c) &3,000&6,000& 7,500\end{array}\right]\)
As the value of the time in years increases, the cost increases, therefore, the graph has a negative slope, which give;
The magnitude of the slope is the cost per year = $15
The equation for the graph is therefore; c = -15·t
5. The constant of proportionality are;
For c = 5·t; The constant of proportionality is 5
For c = -15·t; The constant of proportionality is -15
One constant is positive while the other is negative because, one goes forward in time while the other goes backward in time.
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What is Pascal's principle Short answer?
Answers
What is Pascal's principle ?
According to Pascal's principle, also known as Pascal's law, a change in pressure in one area of a fluid at rest in a closed container is transferred without loss to all areas of the fluid and the container walls. The idea was first put forth by French scientist Blaise Pascal.
Pressure is created when a force's surface area is increased. According to Pascal's principle, when one piston in a hydraulic system experiences a pressure increase, another piston in the system experiences an equal rise in pressure. Even though the pressure is the same, if the area of the second piston is ten times greater than that of the first, the force acting on it will be ten times greater.
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1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
Answers
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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What is the sum of the polynomials? (6x+7x+x^2)+(2x^2-3)
Answers
Answer
Hi. I just sent you the answer.
PLEASE HELP ASAP WILL GIVE BRAINLIEST
Answers
Rational functions are fractions where numerator and denominator are polynomials.
Choose the equation that represents the solutions of 0 = 0.25x² - 8x. 0.25± √(0.25)² - (4)(1)(-8) 2(1) O O X = X = X = X = -0.25± √√(0.25)² – (4)(1)(-8) 2(1) 8± √(-8)²-(4)(0.25) (0) 2(0.25) -8± √(-8)²-(4)(0.25)(0) 2(0.25)
Answers
The given equations represent the solutions of 0 = 0.25x² - 8x
What is an equation?An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.
Redirecting to answer:
The equation 0 = 0.25x² - 8x can be rewritten as:
0.25x² - 8x = 0
Factoring out x gives:
x(0.25x - 8) = 0
So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.
Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x
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Given: sin 18° = p Without using a calculator,
Answers
Answer:
P = 0.309
Step-by-step explanation:
Of all freshman at a large college, 16% made the dean’s list in the current
year. As part of a class project, students randomly sample 40 students and check if those students made
the list. They repeat this 1,000 times and build a distribution of sample proportions.
(a) What is this distribution called?
(b) Would you expect the shape of this distribution to be symmetric, right skewed, or left skewed? Explain
your reasoning.
(c) Calculate the variability of this distribution.
(d) What is the formal name of the value you computed in (c)?
(e) Suppose the students decide to sample again, this time collecting 90 students per sample, and they again
collect 1,000 samples. They build a new distribution of sample proportions. How will the variability
of this new distribution compare to the variability of the distribution when each sample contained 40
observations?
Answers
Step-by-step explanation:
(a) This distribution is called the sampling distribution of sample proportions (p-hat).
(b) The distribution will have a bell curve, similar to a normal curve. So it is symmetric.
(c) The variability is:
σ = √(pq/n)
σ = √(0.16 × (1 − 0.16) / 40)
σ = 0.058
(d) The formal name for this is "standard error".
(e) This time, the sample size increases to 90.
σ = √(pq/n)
σ = √(0.16 × (1 − 0.16) / 90)
σ = 0.039
The standard error decreases as sample size increases.
when you multiply a fraction by a whole number is nominated in the product is the same as the denominator of the fraction the numerator in the product is the product of the whole number and a product of the fraction
Answers
The product of a whole number with a fraction is equal to the another fraction whose numerator is equal to product of numerator of original fraction and whole number and denominator remain same as original fraction. For example,
\(\begin{gathered} \frac{2}{3}\cdot4=\frac{2\cdot4}{3} \\ =\frac{8}{3} \end{gathered}\)So complete paragraph is,
When you multiply a FRACTION by a whole number, the denominator in the product is the same as the DENOMINATOR of the fraction. The numerator in the product is the PRODUCT of the whole number and the NUMERATOR of the fraction.
(Letter in CAPS represents the fill up).
how do i solve this problem ?
Answers
A husband works for 6 straight days and then has a day off. His wife works for 5 straight days and then has a day off. If the husband and wife are both off from work on the same day, in how many days will they both be off from work again?
Answers
Answer:
6?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
find three consecutive even integers such that the sum of the smaller and three times the larger Is 84
Answers
Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.
What is a word problem?A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"
What are conditions of the problem?In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.
Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:
x + (x+4) * 3 = 84
Expanding and solving for x:
x + 3x + 12 = 84
4x = 72
x = 18
So the three consecutive even integers are 18, 20, and 22.
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An observer is standing 30 feet from a flagpole. She is looking at the top of the flagpole. How tall is the flagpole? Round to
the nearest tenth if necessary.
Answers
Answer:
21.7feet
Step-by-step explanation:
To get the height of the pole we will use the pythagoras theorem as shown;
Given
Hypotenuse = 37ft
Adjacent = 30ft
Required
opposite= x
37^2 = x^2 + 30^2
x^2 = 37^2 - 30^2
x^2 = 1,369 - 900
x^2 = 469
x = √469
x = 21.65
x ≈ 21.7feet
Hence the value of x is 21.7feet
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
Answers
546/1300 x 100 = 42%
As you wake up to get your day started, you decide to make muffins for breakfast. The recipe you are
using makes 2 dozen muffins and calls for 3 cups of flour and 1 cup of sugar. You decide to only make
18 muffins. How many cups of flour and sugar will you need for your recipe?
The above problem can easily be solved using a proportion. Show your work
Answers
Answer:
4 cups of flour is needed and 4/3 cups of sugar
Step-by-step explanation:
Given
2 dozen Muffins; 3 cups of flour and 1 cup of sugar
Required
Determine the cups of flour if 18 muffins is used
First, we have to determine the proportion of the number of muffins used previously and now;
Represent this with p;
\(p = \frac{2\ dozen}{18}\)
\(p = \frac{2 * 12}{18}\)
\(p = \frac{24}{18}\)
\(p = \frac{4}{3}\)
Multiply this to the previous cups of flours and sugars;
Cups of flour = p * previous cups of flour
\(Cups\ of\ flour = \frac{4}{3} * 3\)
\(Cups\ of\ flour = 4\)
Cups of Sugar = p * previous cups of sugar
\(Cups\ of\ sugar= \frac{4}{3} * 1\)
\(Cups\ of\ sugar= \frac{4}{3}\)
Hence, 4 cups of flour is needed and 4/3 cups of sugar
1/2(x - 4) = 5
Thank you!
Answers
Answer:
x = 14
Step-by-step explanation:
1/2(x - 4) = 5 - Given
1/2x - (1/2 * 4) = 5 - Distribute
1/2x - 2 = 5 - Multiply 1/2 by 4
1/2x = 7 - Add 2 to both sides of the equation
x = 14 - Divide both sides of the equal by 1/2
what is the greatest common factor (GCF) of the numerator and denominator of the rational expression below? 4x+20/x^2+2x-15
Answers
Answer:
The greatest common factor between the numerator and denominator is 4x, thus the answer is
C. x
Step-by-step explanation:
To find the greatest common factor (GCF) of the numerator and denominator, we need to factor them and find the common factors.
The numerator:
4x+20 = 4x +4x+16 = 4x(1+5) = 4x(6) = 24x
The denominator:
x²+2x-15 = (x-3)(x+5)
The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm.
Answers
Step-by-step explanation:
To work out the height of the cuboid, we need to use the formula:
Volume = Length x Width x Height
We have been given the volume and the length, so we can substitute those values into the formula:
540 = 6 x Width x Height
Now we need to convert the width from millimeters to centimeters, so we divide it by 10:
150mm ÷ 10 = 15cm
Substituting this value into the formula:
540 = 6 x 15 x Height
Simplifying:
540 = 90 x Height
Dividing both sides by 90:
6 = Height
Therefore, the height of the cuboid is 6cm.
What's the answer to 5/8 - 3/4 (8- 1/3) + 1
Answers
Answer:
\(-\frac{33}{8}\) or \(-4.125\) (they're the same)
Which of the following is the correct way to state the similarity between these two figures?
A.) ABCDE ~ YXVZW
B.) ABCDE ~ VWXYZ
C.) ABCDE ~ VZWYX
D.) ABCDE ~ ZWYXV
Answers
Answer:
ABCDE is similar to the ZWYXV
Please Give Me The Answer
Answers
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Find the x intercepts. Show all possible solutions.
Answers
For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.
f(x) = 7/8x² - 14
Substitute f(x) with 0 -
0 = 7/8x² - 14
Add 14 to both sides -
7/8x² = 14
Multiply both sides by 8/7 -
x² = 16
Take the square root of both sides -
x = ±4
Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.
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Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2
Answers
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.