Answer: 8m
Explanation:
Given:
To find the height(h) of the tree, we can use ratio since they are similar triangles.
Triangle 1
Triangle 2
So,
\(\begin{gathered} \frac{1.5}{3}\text{ = }\frac{h}{16} \\ \text{Simplify and rearrange} \\ h=\text{ }\frac{1.5}{3}(16) \\ \text{Calculate} \\ h=\text{ 8 m} \end{gathered}\)Therefore, the height of the tree is 8m.
the ratio of fish to snails in an aquarium is 3 to 2. There are 18 fish in the aquarium. How many snails are in the aquarium?
12 snails, give me brainliest pls
Answer:
12 is the correct answer
Step-by-step explanation:
John had $800 Tasha has $500 Kyle had $300 Who had the most money.
Answer:
Step-by-step explanation:Josh
By comparing the given numbers, Jhon had most money.
How to compare integers?As you move to the right on the number line, integers get larger in value. As you move to the left on the number line, integers get smaller in value.
The rules of the ordering and the comparing of the integers are given below:
If we compare numbers with different signs, then the negative number is less than positive.If numbers are both positive, then this is the case when we compare whole numbers.If numbers are both negative, then we compare numbers without signs. The bigger is the positive number; the smaller is its corresponding negative number.Given that, John had $800 Tasha has $500 Kyle had $300.
Here, 300<500<800
Therefore, by comparing the given numbers, Jhon had most money.
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A rectangular prism has a length of 3 1/2 inches, a width of 5inches, and a height of 1 1/2
Find the area of the region under the graph of the function f on the interval [1, 8].
f(x) =3/x
square units
Answer:
\(\displaystyle \int\limits^8_1 {\frac{3}{x}} \, dx = 9 \ln 2\)
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]: \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)
Integration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Area of a Region Formula: \(\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx\)
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle f(x) = \frac{3}{x} \\\left[ 1 ,\ 8 \right]\)
Step 2: Integrate
Substitute in variables [Area of a Region Formula]: \(\displaystyle \int\limits^8_1 {\frac{3}{x}} \, dx\)[Integral] Rewrite [Integration Property - Multiplied Constant]: \(\displaystyle 3 \int\limits^8_1 {\frac{1}{x}} \, dx\)[Integral] Logarithmic Integration: \(\displaystyle 3 \int\limits^8_1 {\frac{1}{x}} \, dx = 3 \ln \big| x \big| \bigg| \limits^8_1\)Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: \(\displaystyle 3 \int\limits^8_1 {\frac{1}{x}} \, dx = 3 \ln 8\)Simplify: \(\displaystyle \int\limits^8_1 {\frac{3}{x}} \, dx = 9 \ln 2\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
The midpoint of segment QR is M(-2, 9). One end point of segment QR is Q(-8, 12). Find the coordinates of the other endpoint, R.
Here,
The midpoint of segment QR is M
m(-2,9) x3=-2,y3=9
Q=(-8,12)x1=-8,y1=12
R=x2,y2
we know that,
\(\tt{ m=\dfrac{Q+R}{2} }\) ⠀
So,
x3=\(\tt{\dfrac{x1+x2}{2} }\) ⠀
\(\tt{-2=\dfrac{-8+x2}{2} }\) ⠀
\(\tt{-2×2=-8+x2 }\) ⠀
\(\tt{x2=8-4 }\) ⠀
\(\tt{x2=4 }\) ⠀
x2=4
now we find the y coordinate y2.
y3=\(\tt{\dfrac{y1+y2}{2} }\) ⠀
\(\tt{9=\dfrac{12+y2}{2} }\) ⠀
\(\tt{9×2=12+y2 }\) ⠀
\(\tt{y2=18-12 }\) ⠀
\(\tt{y2=6 }\) ⠀
y2=6
Now we get the two coordinate of R
so,
R=(x2,y2)=(4,6)
a) Work out the value of angle x.
b) Give reasons for your answer.
Answer:
60 degrees
Step-by-step explanation:
The bottom and top horizontal lines are parallel. This means x and the bottom right angle in the triangle are the same. Because of the lines going through the triangle's sides we know the triangle's lengths are the same, making it an equilateral triangle. In an equilateral all angles are the same size: 60 degrees.
Calculate the area of the region enclosed by the x-axis and the curve y(x)=−x^2−3x+4.(show a figure and detailed answer please)
Given that the region is enclosed by the x-axis and this curve:
\(y=-x^2-3x+4\)You can graph the function using a Graphic Tool:
Noice that the area region you must calculate is:
Notice that it goes from:
\(x=-4\)To:
\(x=1\)Therefore, you can set up that:
\(Area=\int_{-4}^1(x^2-3x+4)-(0)dx\)In order to solve the Definite Integral, you need to:
- Apply these Integration Rules:
\(\int x^ndx=\frac{x^{n+1}}{n+1}+C\)\(\int kf(x)dx=k\int f(x)dx\)Then, you get:
\(=(\frac{x^3}{3}-\frac{3x^2}{2}+4)|^1_{-4}\)- Evaluate:
\(=(\frac{1^3}{3}-\frac{3(1)^2}{2}+4)-(\frac{(-4)^3}{3}-\frac{3(-4)^2}{2}+4)\)\(Area\approx64.17\)Hence, the answer is:
\(Area\approx64.17\)What is the domain of the function in the graph?
graph on the k-j axis, between the points (6, 120) and (11, 80)
A. 80≤j≤120
B. 6≤k≤11
C. 6≤j≤11
D. 80≤k≤120
Answer:
The domain of the function in the graph is option B, 6≤k≤11.
In the given graph, the horizontal axis represents k and the vertical axis represents j. The graph shows a line segment connecting the points (6, 120) and (11, 80). The domain of a function is the set of all possible values of the independent variable (input) for which the function is defined. In this case, k is the independent variable and j is the dependent variable (output).
The line segment in the graph represents a linear function, where the value of j depends on the value of k. The function is defined only between the values of k that correspond to the endpoints of the line segment, which are k = 6 and k = 11. Therefore, the domain of the function is 6≤k≤11.
y’all please help me i am struggling in this helppppp
Answer: B
Step-by-step explanation:
Find the composition of transformations that map ABD to EHGF.
Looking at the orientation of each figure, first we need a reflection over the y-axis, this way the orientation of ABCD will match the orientation of EHGF.
After this reflection, the position of each point will be:
(To find the position after a reflection over the y-axis, we need to switch the signal of the x-coordinates)
\(\begin{gathered} A^{\prime}(5,2)\\ \\ B^{\prime}(3,4)\\ \\ C^{\prime}(2,4)\\ \\ D^{\prime}(1,2)\\ \end{gathered}\)Now, let's write the coordinates of EHGF:
\(\begin{gathered} E(1,-2)\\ \\ H(-1,0)\\ \\ G(-2,0)\\ \\ F(-3,-2) \end{gathered}\)Comparing each corresponding pair of points, we can see that in order to map A'B'C'D' into EHGF, we need to decrease the x-coordinates by 4 units and decrease the y-coordinates by 4 units:
\((x,y)\rightarrow(x+(-4),y+(-4))\)Therefore the answers are y, -4 and -4.
Phillip is married, filing jointly, with an AGI of $49,432. He is claiming two
exemptions which give a total of $24,800 in exemptions and deductions of $2647.
What is his taxable income?
Using the table below, what is his tax due?
Blank#1
Blank#2
Answer:
Phillip's taxable income is $22,985. His tax due, according to the table below, is $2,735.
Step-by-step explanation:
Phillip's Adjusted Gross Income (AGI) is $49,432 and he is claiming two exemptions which give a total of $24,800 in exemptions and deductions. This brings his taxable income to $22,985 ($49,432 minus $24,800 minus $2,647). According to the table below, his tax due for this taxable income is $2,735.
I NEED HELP PLEASE!!
Answer:
70
Step-by-step explanation:
70 because as the number of trials increase, the actual ratio of outcomes will converge on the expected ratio.
Question
A scientist wants a 90 ounce acid solution with a concentration of 12%. She has concentrations of 8% and 18%. How
much of each solution must she use to get the desired concentration?
On solving the provided question, we can say that - the percentage value of 12 % of 90 = 10.8
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
12% of 90 = 12/100 X 90
= 0.12 X 90 = 10.8
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Sin S=
Sin R=
Cos S=
Cos R=
Answer:
Not sure but my answers will be :
Sin S = 0.28
Sin R = 0.96
Cos S = 0.96
Cos R = 0.28
Brainlyest to first correct. Report to incorrect
Add.
(−5x^4+6x^3−43)+(6x^5−x^2+12x+12)
Express the answer in standard form.
Enter your answer in the box.
Answer:
6x^5-5x^4+6x^3-x^2+12x-31
Step-by-step explanation:
(−5x^4+6x^3−43)+(6x^5−x^2+12x+12)
To add, combine like terms
6x^5-5x^4+6x^3-x^2+12x-43+12
6x^5-5x^4+6x^3-x^2+12x-31
Standard form means from the highest power of x to the lowest power of x
is this correct? please helpp.
The distance between the points are matched as;
1. 10. 6
2. 7. 6
3. 7. 1
How to determine the valuesUsing the Pythagorean theorem, we have that the square of the hypotenuse side is equal to the sum of the squares of the other two sides, we have that;
1. Opposite = 8
Adjacent = 7
Substitute the values
x² =8² + 7²
Find the square
x² = 64 + 49
x = √113
x = 10. 6
2. x²= 3² + 7²
Find the square value
x² = 9 + 49
x² = 58
Find the square root
x = 7. 6
3. x² = 5² + 5²
find the value
x² = 50
x = √50
x = 7. 1
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Sola, Kemi and Ojo were given
N45.00 by their grandfather. If Sola
received 40% of this amount, how
much remained to be shared between
Kemi and Ojo?
Answer:
N27.00 remained to be shared between Kemi and Ojo
Step-by-step explanation:
We have an amount of N 45.00.
Sola received 40% of this amount, which means that 100% - 40% = 60% remained to be shared between Kemi and Ojo.
This amount is given by:
0.6*45 = 27
N27.00 remained to be shared between Kemi and Ojo
whats 10 x 34? please tell me
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
Given: GD=BCBC=FHFH=AEProve: AE = GD
Since we have that GD = BC, then, by the transitive property:
\(\begin{gathered} GD=BC=FH \\ \Rightarrow GD=FH \end{gathered}\)Now, FH=AE, then, again by the transitive property:
\(\begin{gathered} GD=FH=AE \\ \Rightarrow GD=AE \end{gathered}\)Therefore, AE=GD
Given x∥y and m∠2=23° . What is m∠7? WILL GIVE BRAINLIEST THANKS
Answer:
157
Step-by-step explanation:
180-23=157
The weight of water is 62 1/2 Ib per cubic foot. Water that weighs 175 lb will fill how many cubic feet?
Answer:
2.8 cubic feet
Step-by-step explanation:
To solve this problem, let's put the given information into a ratio:
62.5 / 1 = 175 / x
where x is equal to the final number of cubic feet.
Now, we will cross-multiply to solve for x:
62.5x = 175
x = 175/62.5 = 2.8 cubic feet
Hope this helped!
Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
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A family of statisticians is trying to decide if they can afford for their child to play youth baseball. The cost of joining a team is normally distributed with a mean of $750 and a standard deviation of $185. If a sample of 40 teams is selected at random from the population, select the expected mean and standard deviation of the sampling distribution below.oz= $185 oz= $29.25 oz = $4.63 nu2 = $118,59 0 nu2 = $18.75 nu2= $750
If a sample of 40 teams is selected at random from the population, the expected mean is $750 and the standard deviation is $29.25
The mean of the cost of joining a team = $750
Standard deviation = $185
A sample of 40 teams is selected at random from the population
The expected standard deviation = \(\sqrt{\frac{185^2}{40} }\)
= $29.25
Here the cost of joining a team is normally distributed with a mean of $750
Here the distribution of the cost of joining is normal the mean of the sample distribution, so it will be equal to the mean of the population
The mean = $750
Therefore, the standard deviation is $29.25 and the mean is $750
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Find the sum of the infinite geometric series, if possible. (Round your answer to three decimal places.)
∞
Σ
n = 0 6(0.75)n
STEP 1: Determine the first term of the infinite geometric series.
a1 =
24
STEP 2: Find the common ratio of the infinite geometric series.
r =
STEP 3: Based on your results from Step 1 and Step 2, the Sum of an Infinite Geometric Series Formula may be applied to this series. What guarantees the formula will work in this case?
The common ratio has an absolute value less than 1.
The first term of the series has an absolute value less than 1.
The common ratio has an absolute value less than the first term of the series.
The common ratio is less than the first term of the series.
The common ratio is less than one.
The first term of the series has an absolute value greater than the common ratio.
The first term of the series is positive.
STEP 4: Compute the sum of the series using the Sum of an Infinite Geometric Series Formula. Round your answer to three decimal places.
Sn =
STEP 1: a1 = 6.
STEP 2: r = 0.75
STEP 3: The common ratio is less than one.
STEP 4: The sum of the Sum of the Infinite Geometric series is Sn = 24
How to find the sum of the infinite geometric series?Since we have the expression for the sum of the infinite geometric series
\(\[ \sum_{n=0}^{\infty} 6(0.75)^{n} \]\)
STEP 1:
The first term of the infinite geometric series is 6. Thus, a1 = 6.
STEP 2:
The common ratio of the infinite geometric series is 0.75. Thus, r = 0.75
STEP 3:
The common ratio is less than one.
Because Sn = a/(1 - r) is the formula we use when the common ratio is less than 1.
STEP 4:
Sn = a/(1 - r)
Sn = 6/(1 - 0.75) = 24
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Solve this using the elimination method.
2b + a =13
a-b =4
Solve using the elimination method and be sure to show all of your work.
The value of the variables are a = 3 and b = 3
How to solve using the elimination methodFrom the information given, we have that;
2b + a = 13 equation 1
a-b =4 equation 2
Now, multiply equation (2) by 2 to eliminate the variable b, we get;
2b + a = 13
2a - 2b = 8
add the equation, we have;
2b + a + 2a -2b = 13 + 8
add the values, we get;
3a = 21
Make 'a' the subject
a = 7
Then
a - b = 4
-b = -3
b = 3
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Which is an x-intercept of the graphed function?
O (0, 4)
(-1, 0)
(4, 0)
(0, -1)
A line's x-intercept and y-intercept are the points at which the x axes- and y-axes, respectively, are crossed. We find it easier to graph linear equations when we consider intercepts.
We set y = 0 and solve the equation for x to determine the x-intercept.
The graphed function derived from the choices has the x-intercept (-1, 0)
How do you calculate the x-intercept?A graph's x-intercept is the location where the graph crosses the x-axis.
The graph in the accompanying image crosses the x-axis at:
(-2, 0), (-1, 0), (1, 0) and (2, 0) (2, 0)
Consequently, the x-intercept of the graphed function derived from the alternatives (-1, 0)
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how would I find the equation of this graph
Answer:
y = sec(x-2) - 1
Step-by-step explanation:
We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.
The function f(x)= 2x +4x^-1 has one local minimum and one local maximum.
This function has a local maximum at x=?
with value ?
and a local minimum at x=?
with value ?
The requried, local minimum and maxium for the given function is √2 and -√2.
We need to find the local maximum and local minimum of the function \(f(x) = 2x + 4x^{(-1)}.\)
First, we find the derivative of f(x):
\(f'(x) = 2 - 4x^{(-2)} = 2 - 4/x^2\)
Setting f'(x) = 0 to find the critical points:
\(2 - 4/x^2 = 0\)
Solving for x, we get:
x = ±√2
To determine whether these critical points are local maxima or minima, we need to examine the sign of the second derivative:
\(f''(x) = 8x^{(-3)}\)
When x = √2, f''(√2) = 8/(√2)³ = 8√2 > 0, so x = √2 is a local minimum.
When x = -√2, f''(-√2) = 8/(-√2)³ = -8√2 < 0, so x = -√2 is a local maximum.
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1. What is the value of pi to two decimal places?
Answer:
3.14
Step-by-step explanation:
The value of pi to two decimal places is 3.14. It is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Pi is an irrational number, which means it cannot be expressed as a finite decimal or fraction. It is an important constant in many fields of mathematics and science, including geometry, trigonometry, and physics. The decimal representation of pi goes on infinitely without repeating, making it an interesting and challenging topic for mathematicians to explore.
Pls tell me I really need it
Answer:
x=3 y=1 i it's the answer❤