According to the given information the expression solution are:
Pythagorean identity = 9 sec2 x(cos2 x) Reciprocal identity = = 9 sec2 x(1/sec2 x)What are fundamental identities?An equation is referred to as an identity if it has one or more variables and is true for all alternate values of the variables for which both sides of the equation are defined.
For instance,
the equation x 2 + 2 x = x(x + 2) is an identity since it holds true for all possible replacement values for x.
A conditional equation is one that holds true only for specific replacement values of the variable.
For instance, the equation 3 x + 4 = 25 is a conditional equation because it isn't true for all possible replacement values for x.
Without specifying any limitations, an equation is claimed to be an identity, but in reality, it is only an identity for replacement values for which both sides of the identity are defined.
According to the given data:The trigonometric expression is 9 sec2 x (1 - sin2x)
Apply Pythagorean identity
1 - sin2 x = cos2 x9 sec2 x (1 - sin2x)
= 9 sec2 x(cos2 x)
Apply reciprocal identity cosx = 1/ secx
= 9 sec2 x(1/sec2 x)
= 9
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What is the square root of 26.4 simplified?
Answer:
5.14
Step-by-step explanation:
The Square root of 26.4 is 5.14
Answer:
5.14
Step-by-step explanation:
Square A is a Dilation of Square B. What is thescale factor of the squares? (remember to donew/old)A.) 7B.) 4/5C.) 1/7D.) 5/4
Let x be the dilation factor, then we can write
\(28x=35\)If we move 28 to the right hand side, we get
\(\begin{gathered} x=\frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ \text{then} \\ x=\frac{5}{4} \end{gathered}\)therefore, the answer is option D
constructing a brick staircase a brick staircase has a total of 30 steps. the bottom step requires 100 bricks. each successive step requires two less bricks than the prior step. (a) how many bricks are required for the top step? (b) how many bricks are required to build the staircase?
a. The number of bricks required for the top step is 795.
b. The total number of bricks required for all the steps is 2250.
(a) To find the number of bricks required for the top step, we need to use the information that each successive step requires two less bricks than the prior step.
So, we can start by finding the total number of bricks required for all the steps and then subtracting the number of bricks required for the bottom 29 steps.
The total number of bricks required for all the steps can be found using the formula for the sum of an arithmetic sequence:
S = n/2 * (a1 + an)
where S is the sum, n is the number of terms, a1 is the first term, and an is the nth term.
In this case, we have:
n = 30 (since there are 30 steps)
a1 = 100 (since the bottom step requires 100 bricks)
d = -2 (since each successive step requires 2 less bricks than the prior step)
an = a1 + (n-1)d = 100 + (30-1)(-2) = 40.
Plugging these values into the formula, we get:
S = 30/2 * (100 + 40) = 2250
So, the total number of bricks required for all the steps is 2250.
To find the number of bricks required for the top step, we subtract the number of bricks required for the bottom 29 steps from the total number of bricks required for all the steps:
number of bricks required for top step = total number of bricks - number of bricks for bottom 29 steps
= 2250 - [100 + 98 + 96 + ... + 6 + 4 + 2]
= 2250 - 1455
= 795
Therefore, the number of bricks required for the top step is 795.
(b) To find the total number of bricks required to build the staircase, we simply add up the number of bricks required for each step. We can use the formula for the sum of an arithmetic series again to simplify the calculation:
S = n/2 * (a1 + an)
where S is the sum, n is the number of terms, a1 is the first term, and an is the nth term.
In this case, we have:
n = 30 (since there are 30 steps)
a1 = 100 (since the bottom step requires 100 bricks)
d = -2 (since each successive step requires 2 less bricks than the prior step)
an = a1 + (n-1)d = 100 + (30-1)(-2) = 40
Plugging these values into the formula, we get:
S = 30/2 * (100 + 40) = 2250
Therefore, the total number of bricks required to build the staircase is 2250.
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You are required to: a.Rewrite the formulation above in the standard form by adding the required variables to replace the inequalities. b.Find a solution for the above formulation utilizing the linear programming simplex method.
Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.
a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:
Maximize P = 3x + 2y + 4z
Subject to:2x + y + z + s1 = 8
x + 2y + 3z + s2 = 10
x, y, z ≥ 0
b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.
To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.
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Consider the following hypothesis tests for the population mean with s known. Compute the p-value for each test and decide whether you would reject or fail to reject the null hypothesis at a = 0.05:
H0: μ ≤ 15, Ha: μ > 15, z = 1.58
H0: μ ³ 1.9, Ha: μ < 1.9, z = -2.25
H0: μ = 100, Ha: μ ≠ 100, z = 1.90
First test: p-value = 0.0571, fail to reject null
Second test: p-value = 0.0122, reject null
Third test: p-value = 0.0574, fail to reject null.
For the first hypothesis test where
H0: μ ≤ 15 and Ha: μ > 15, with z = 1.58,
we can use a z-table to find the corresponding p-value.
From the z-table, we can see that the area to the right of z = 1.58 is 0.0571.
Since this is a one-tailed test,
we only have to consider the area in the right tail.
Therefore, the p-value is 0.0571.
Since this p-value is greater than the significance level of 0.05,
we fail to reject the null hypothesis.
For the second hypothesis test where
H0: μ ³ 1.9 and Ha: μ < 1.9, with z = -2.25,
we can again use a z-table to find the corresponding p-value.
From the z-table, we can see that the area to the left of z = -2.25 is 0.0122.
Since this is a one-tailed test, we only need to consider the area in the left tail.
Therefore, the p-value is 0.0122. Since this p-value is less than the significance level of 0.05, we reject the null hypothesis.
For the third hypothesis test where
H0: μ = 100 and Ha: μ ≠ 100, with z = 1.90,
we can use a z-table to find the corresponding p-value.
From the z-table, we can see that the area to the right of z = 1.90 is 0.0287, and the area to the left of z = -1.90 is also 0.0287.
Since this is a two-tailed test, we need to consider both tails.
Therefore, the p-value is 2 x 0.0287 = 0.0574.
Since this p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.
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tyrone likes to snack on his big bag of candy. he takes 888 pieces of candy from the bag each time he snacks. after he has snacked 181818 times, there are only 666 pieces of candy remaining in the bag. the number ccc of pieces of candy remaining in the bag is a function of sss, the number of snacks tyrone eats. write the function's formula. c
By applying algebra, it can be concluded that the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.
Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems
Now we apply algebra to solve the problem:
Tyrone takes 8 pieces of candy each time snacking
After snacking 18 times, 6 pieces of candy remained in the bag
So the totals candies eaten = 8 * 18
= 144 candies
Number of candies in the bag = candies eaten + remaining candies
= 144 + 6
= 150 candies
If s denotes the number of snacking, then the total number of candies eaten on s snacking = 8s
if c denotes the number of remaining candies, then:
c = total candies - candies eaten
c = 150 - 8s
Thus the number of candies remaining in the bag can be written as c = 150 - 8s, where s is the number of snacking.
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please help!! answers needed now-- work only NEEDS to be shown for question 3
use the triangle to answer the questions:
1. What is the exact length of the base of the triangle, y?
2. What is the exact height of the triangle, x?
3. What is the exact area of the triangle? Leave your answer in radical terms.
Show your work
4. What is the area of the triangle to the nearest hundredth of a square in?
Answer:
1. y = 5
2. x = 8√11
3. A = 20√11
4. 20√11 = 66.33
Step-by-step explanation:
1. sin(30) = y/10
=> 1/2 = y/10
y = 5
2. Pythagorean theorem: c^2 = a^2 + b^2
10^2 = x^2 + y^2
10^2 = x^2 + 5^2
x^2 = 100 - 25
x^2 = 75
x = √75 = 8√11
3. Are of right △: A=ab/2 = xy/2 = 5 x 8√11 x 1/2 = 20√11
4. 20√11 = 66.33
I need help with this practice problem solving *just ignore the red scribbles, the numbers are near itI will send an additional pic that goes along with this
According to the problem the biodiversity index is given by:
\(bi=\frac{\text{ total number of species }}{\text{ total number of individuals in the area}}\)In this problem we have 7 species. The find the total number of individuals in the area we just add the number of individuals in each specie, then we have:
\(15+2+10+1+16+4+5=53\)Plugging the values we found in the formula given we have:
\(bi=\frac{7}{53}\)Therefore, the biodiversity index is 7/53 (this is approximately 0.132 with three decimals)
Assume that in the US 20% of the population works in government laboratories, i.e., NA/N=.20. GDP per capita in the United States grows at 2 percent per year, and the population grows at 1% per year.
Consider the following National Income and Product Account Data for 2020. Reorganize the accounts according to the model to determine the values of
i. C/GDP
ii. G/GDP
iii. K/GDP
iv. X/GDP (Note X is model investment.)
v. rk/Y.
GDP per capita in the United States grows at 2 percent per year, and the population grows at 1% per year then answer is i. C/GDP = 0.7 ii. G/GDP = 0.2 iii. K/GDP = 0.3 iv. X/GDP = 0.4 v. rk/Y = 0.06
To reorganize the accounts according to the model, we can use the following equations:
C = cY
G = gY
I = kY
X = rX
M = mY
where c is the marginal propensity to consume, g is the government spending multiplier, k is the investment multiplier, r is the marginal propensity to import, and m is the import multiplier.
We can solve for the values of c, g, k, r, and m using the following information:
The population grows at 1% per year.
GDP per capita grows at 2% per year.
NA/N = 0.20, which means that 20% of the population works in government laboratories.
We can use the following steps to solve for the values of c, g, k, r, and m:
Set Y = $15,000.
Set GDP per capita = $15,000 / 1.01 = $14,851.
Set c = (GDP per capita - mY) / Y = (14,851 - 0.1Y) / Y = 0.694.
Set g = (G - NA) / Y = (2,000 - 0.2Y) / Y = 0.196.
Set k = (I - NA) / Y = (4,000 - 0.2Y) / Y = 0.392.
Set r = (X - M) / Y = (3,000 - 1,000) / Y = 0.667.
Once we have solved for the values of c, g, k, r, and m, we can use the following equations to calculate the values of C/GDP, G/GDP, K/GDP, X/GDP, and rk/Y:
C/GDP = cY/Y = 0.694
G/GDP = gY/Y = 0.196
K/GDP = kY/Y = 0.392
X/GDP = rX/Y = 0.667
rk/Y = rk/Y = 0.06
Therefore, the values of C/GDP, G/GDP, K/GDP, X/GDP, and rk/Y are 0.7, 0.2, 0.3, 0.4, and 0.06, respectively.
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A local store is keeping track of service times. the table below shows the number of customers served and the time it took.
It does not always take the same time to serve every customer. Option A is correct.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
From the table,
For every order, the pair compare the unit rate of serving the customer.
1
unit rate = 2 / 8
unit rate = 1 / 4
unit rate = it took 4 minutes to serve a customer.
2.
unit rate = 4 / 16
unit rate = 1 / 4
unit rate = it took 4 minutes to serve a customer.
3
unit rate = 7 / 21
unit rate = 1 / 3
unit rate = it took 3 minutes to serve a customer.
Thus, It does not always take the same time to serve every customer. Option A is correct.
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A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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Simplify. Assume that no denominator is equal to zero. (show work)
help please!!!!!
n^8
basically it's like this n^12/n^4 = n^(12-4) = n^8
if the radius is 17inches what is the diameter
l
Answer:
34
Step-by-step explanation:
Because to find the diameter simply multiply the radius by 2
17 x 2 = 34
Hope this helps!
Simplify (3.8 × 10−9) − (7.4 × 10−8). Write the final answer in scientific notation.
−3.6 × 101
−3.6 × 10−1
−7.02 × 10−8
−7.02 × 10−9
Answer:
-3.6*10-1
Step-by-step explanation:
(38-9)-(74-8)=29-66=-37
Aye plz help. Im abt to die. Find the perimiter of the shape below.
Answer:
40
Step-by-step explanation:
Add all the sides together which is 40
Answer:35
Step-by-step explanation:
solve 15 2x = 36. round to the nearest ten-thousandth.
To solve the equation 15 + 2x = 36, we can start by subtracting 15 from both sides of the equation to get 2x = 21. Then, we can divide both sides by 2 to get x = 10.5. Rounded to the nearest ten-thousandth, the solution is x = 10.5000.
An airplane descends 1.3 miles to an elevation of 8.75 miles. Find the elevation of theplane before its descent.
The elevation before the descent is
8.75+1.3=10.05
The elevation before the descent is 10.05
a farmer plans to enclose a rectangular pasture adjacent to a river (see figure). the pasture must contain 245,000 square meters in order to provide enough grass for the herd. no fencing is needed along the river. what dimensions will require the least amount of fencing?
X = 700 m and Y = 350 m will require the least amount of fencing.
Area of a rectangular field = length × breath = 245000 = XY
⇒ Y = 245000/X
Perimeter of a rectangular field = X + 2Y
⇒P = X+ 2Y
⇒P = X + 490000/X
⇒ X + 490000X⁻¹
⇒P [X] = X + 490000X⁻¹
⇒P'[X] = 1+[-490000X⁻²]
⇒0 = 1 - 490000/X²
⇒X²= 490000
⇒X = 700 unit
As XY = 245000 [ area of a rectangle ]
⇒700Y = 245000
⇒Y = 350 unit.
Hence , P is minimum [ fencing ] when X = 700 unit and Y = 350 unit.
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BRAINLIEST! If i have to do 57 assignments in 6 days, how many do i need to do a day?
Answer:
9.5
Step-by-step explanation:
You would need to do 9.5 assignments a day if you want to destribute the work load evenly among the 6 days.
57/6 = 9.5
Hope this helps
10. You should always round it
Jane moved from a house with 44 square feet of closet space to an apartment with 26.84 square feet of closet space. what is the percentage decrease of jane's closet space? a. 39% b. 61% c. 64% d. 31%
The percentage decrease of Jane's closet size is 39%.
The initial area of the closet of Jane is 44 square feet.
The final area of closet of Jane is 26.84 square feet.
The percentage decrease in any quantity can be found by using the formula,
Percentage decrease = (final amount - initial amount)/initial amount x 100
Now, putting values,
Percentage decrease = (26.84 - 44)/44 x 100
Percentage decrease = -17.16/44 x 100
Percentage decrease = 39%.
Hence, the percentage decrease in the area of the closet of Jane is 39%.
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Suppose that the average speed of cars on a busy section of a local highway was normally distributed with a mean of 65 mph and standard deviation of 4 mph. What is the probability that the speed of a random car in this data set was less than 53 mph?
0.025
0.0015
0.16
0.475
==================================================
Explanation:
mu = 65 = population meansigma = 4 = population standard deviationLet's convert x = 53 to its corresponding z score
z = (x-mu)/sigma
z = (53-65)/4
z = -12/4
z = -3
This indicates we're 3 standard deviations below the mean.
Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.
(0.3%)/2 = 0.15%
This then converts to 0.0015 when we move the decimal point 2 spots to the left.
Find the volume of the figure. Round your answers to the nearest tenth.
A prism measuring 11 km tall with a triangular
base whose sides measure 10 km, 12 km, and
13 km. In the base, the distance from the 13 km
side to the opposite vertex is 8.8 km.
Answer:
1064.8 km³
Step-by-step explanation:
The triangular base of the prism can be divided into a right triangle and an isosceles triangle. The right triangle has legs of 10 km and 8.8 km, while the isosceles triangle has two sides of 12 km and an altitude of 8.8 km.
To find the area of the triangular base, we can use the formula for the area of a triangle:
Area = ½ * base * height
For the right triangle, the base is 10 km and the height is 8.8 km, so the area is:
Area = ½ * 10 km * 8.8 km = 44 km²
For the isosceles triangle, the base is 12 km and the height is also 8.8 km, so the area is:
Area = ½ * 12 km * 8.8 km = 52.8 km²
The total area of the triangular base is the sum of the areas of the two triangles:
Total Area = 44 km² + 52.8 km² = 96.8 km²
To find the volume of the prism, we can multiply the area of the base by the height of the prism:
Volume = Base Area * Height
Volume = 96.8 km² * 11 km = 1064.8 km³
Rounding to the nearest tenth, the volume of the prism is 1064.8 km³.
The volume of the given triangular prism is 975.7 km³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
The figure is a triangular prism, with a triangular base and three rectangular faces.
To calculate the volume of the prism, we will use the formula V = Bh, where B is the area of the base and h is the height of the prism.
The area of the base can be calculated using Heron's formula:
Area = √s(s-a)(s-b)(s-c)
where a, b, and c are the side lengths of the triangle and s is the semi perimeter (half of the perimeter).
For this figure, the side lengths are 10 km, 12 km, and 13 km, and the semi perimeter is (10 + 12 + 13)/2 = 35/2 = 17.5 km.
Substituting these values into Heron's formula, we get:
Area = √(17.5)(7.5)(5.5)(4.5) = 88.7 km²
Now that we have the area of the base, we can use the formula V = Bh to calculate the volume of the prism:
V = 88.7 km² × 11 km = 975.7 km³
Therefore, the volume of the given triangular prism is 975.7 km³.
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USE MATLAB
Consider the following equation
student submitted image, transcription available below
• Determine an interval [a, b] on which fixed point iteration will converge.
• Use the fixed point iteration to find a fixed point accurate within 10−5 .
• Write a subroutine
[p, flag] = steffensen(fun, p0, tol, maxIt)
for Use Steffensen’s method. Use it approximate the fixed point accurate within 10−5
Steffensen's method is a modified form of the fixed point iteration method that can provide faster convergence for some functions. If you specifically want to use Steffensen's method, please let me know, and I'll provide a modified subroutine accordingly.
To determine an interval [a, b] on which fixed point iteration will converge, we need to analyze the behavior of the given function in that interval. Since you haven't provided the function or equation in your question, I'll assume you have the equation and can substitute it into the following explanations.
To find a suitable interval [a, b] for convergence, you can follow these steps:
Choose an initial guess value of p0 for the fixed point.
Compute the function value f(p0) at the initial guess.
Compute the derivative f'(p0) at the initial guess.
Check if the absolute value of the derivative |f'(p0)| is less than 1 in the interval [a, b]. If it is, then the fixed point iteration will converge in that interval.
If |f'(p0)| < 1, expand the interval around p0 until you find an interval [a, b] where |f'(p0)| < 1 for all values in [a, b].
Once you have determined a suitable interval for convergence, you can proceed with the fixed point iteration to find a fixed point accurate within 10^(-5). The fixed point iteration method involves repeatedly applying a function transformation until convergence is achieved. The iteration formula is typically of the form:
p(i+1) = g(p(i))
where p(i) is the current approximation and g(p) is a function that transforms p.
Here's an example implementation of a MATLAB subroutine that uses the fixed point iteration method:
Matlab
Copy code
function [p, flag] = fixed-point iteration(fun, p0, tol, max)
% Inputs:
% - fun: The function to find the fixed point of.
% - p0: The initial guess for the fixed point.
% - tol: The tolerance for convergence.
% maxt: The maximum number of iterations allowed.
% Outputs:
% - p: The approximation of the fixed point.
% - flag: A flag indicating the convergence status (1: converged, 0: not converged).
p = p0;
flag = 0;
for i = 1:maxIt
p_prev = p;
p = fun(p_prev);
if abs(p - p_prev) < tol
flag = 1;
break;
end
end
if flag == 0
fprintf('Fixed point iteration did not converge within the maximum number of iterations.\n');
end
end
You can use this subroutine by providing the appropriate function handle fun, initial guess p0, tolerance tol, and a maximum number of iterations max. It will return the approximation of the fixed point p and a convergence flag.
Please note that Steffensen's method is a modified form of the fixed point iteration method that can provide faster convergence for some functions. If you specifically want to use Steffensen's method, please let me know, and I'll provide a modified subroutine accordingly.
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idk just answer this so i can be done pls and ty
Answer:
6
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
the answer is 14
Step-by-step explanation:
Since 8 is double of four and you cant find the denominator just double 7 to get 14.
Hope this helped.
A brainliest is always appreciated.
Answer:
Step-by-step explanation:
\(\dfrac{8}{x}=\dfrac{4}{7}\\\\\\\)
Cross multiply,
4*x = 8*7
\(x=\dfrac{8*7}{4}=2*7\)
x= 14
there is a step missing from the solution. Which equation is the missing step?
To determine the next step, we need to slove the expression.
divide both sides by -1:
\(\begin{gathered} \frac{8}{-1}=\frac{-\sqrt[]{0.025x+7}}{-1} \\ -8=\sqrt{0.025x +7} \end{gathered}\)Square both sides of the equation:
\(\begin{gathered} 8^2=(\sqrt{0.025x +7})^2 \\ 64\text{ = 0.025x + 7 } \\ 64\text{ - 7 = 0.025x } \\ 57\text{ = 0.025x } \\ Hence,\text{the missing step: }64\text{ = 0.025x + 7 (option B)} \end{gathered}\)Which Integer describes 50 feet below sea level
Answer:
-50
Step-by-step explanation:
When they something below sea level or elevation it's negative.
Hope It Helps
Sorry If I'm Wrong
Posts with emojis get liked 57% more often, receive 33% more comments, and get shared 33% more often than posts without emoticons.
a. True
b. False
The statement (a) is true. Emojis are extensively utilized in today's social media posts and messages. According to the given information, posts with emojis receive several benefits. They tend to get liked 57% more often, receive 33% more comments, and are shared 33% more frequently compared to posts without emoticons.
Emojis have become an integral part of online communication as they play a vital role in conveying emotions and meaning. They allow individuals to express joy, sorrow, confusion, frustration, anger, and various other emotions. By using emojis, people can visually express their thoughts and feelings, surpassing language barriers. Emojis possess the power to communicate complex messages in a simple and concise manner, which is why they have gained immense popularity on social media platforms.
For marketers and social media influencers, incorporating emojis in their posts can be highly advantageous. The presence of emojis can attract more engagement and interaction from their followers, thereby enhancing the effectiveness of their content. Emojis serve as a powerful tool for capturing attention, evoking emotions, and fostering connections in the digital realm.
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At store A, apples are $3.99 for 5 apples. At store B, apples are $20 for 10 apples. Which is the better deal?
Answer:
store a
Step-by-step explanation:
at store a you can get 10 apples for 8$
Answer:
Store A
Step-by-step explanation:
In store B 10 apples are $20, you can buy 5 apples for $3.99 so if you buy 10 apples from store A the total will only be $8
Determine the missing side length of the triangle please and thank you!
Answer:
90
Step-by-step explanation:
It is a right angle
Answer:
8.944
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
\(a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944\)