Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
Answer:
B. 16°Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
x = 16
Hence the value of x is 16°
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the following equation models the path of the basketball y=-x^2+4x+5 where x is the elapsed time in seconds.
Pls help, also do i find how long and how high the ball reached or how long it took the basketball to reach the ground. Please answer them as well. Thank you so much.
Answer:
y = 9 at x = 2 seconds
y = 0 at x = 5 seconds
Step-by-step explanation:
y=-x^2+4x+5
First find the zeros
0 =-x^2+4x+5
0 = -(x^2 -4x -5)
What 2 numbers multiply to -5 and add to -4
-5*1 = -5
-5+1 = -4
0 = -(x-5)(x+1)
x-5 =0 x+1 =0
x=5 x =-1
The vertex is 1/2 way between the two zeros
(5+-1) /2 = 4/2 =2
The vertex is at x=2
The maximum value of y is when x=2
y = -(2)^2 +4(2) +5
y = -4+8+5
y = 9
The ball will hit the ground at x = 5 seconds
The angle between 0 and 2pi in radians that is coterminal with the angle 34/7pi in radians is
.
The angle between 0 and 2pi in radians that is co-terminal with the angle 34/7pi in radians is 20/7π.
To find the angle between 0 and 2π in radians that is co-terminal with the angle 34/7π in radians, we need to first understand what co-terminal angles are.
Co-terminal angles are angles that share the same initial and terminal sides, but differ by a multiple of 360°. In radians, they differ by a multiple of 2π.
To find the co-terminal angle, we need to add or subtract a multiple of 2π from the given angle until we get an angle between 0 and 2π. We can do this using the following formula:
Co-terminal angle = θ ± 2nπ Where θ is the given angle and n is an integer that represents the number of full rotations (360° or 2π radians) we add or subtract.
To find the co-terminal angle with 34/7π, we need to subtract 2π until we get an angle between 0 and 2π:
34/7π - 2π = (34/7 - 14/7)π = 20/7π.
Now, we have an angle of 20/7π that is co-terminal with 34/7π and is between 0 and 2π radians.
Therefore, the answer is 20/7π.
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A calf raiser mixes a batch of milk replacer for 15 calves. Each calf gets two
quarts of milk replacer. If the calf raiser uses 960 oz. of replacer and needs to
add 34 as much water as milk replacer, how many ounces of water does she need?
Answer:
The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.
To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)
64 oz / 32 oz/quart = 2 quarts
Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer
So the total amount of water she needs is 2*34 = 68 quarts
To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)
68 quarts * 32 oz/quart = 2176 oz of water.
So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.
NO LINKS!!! URGENT HELP PLEASE!!!!
How much money, invested at an interest rate of r% per year compounded continuously, will amount to A dollars after t years? Round your answer to the nearest cent
A = 300,000
r = 3.6
t = 14
HELPPPPPPPPPPPP PLEASEEEE?
Answer: V≈56.55
Step-by-step explanation:
V=πr2h
3 = radius
2=height
Fill in the formula = V=πr2h=π·32·2≈56.54867
V≈56.55
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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A fraction can easily be written as a percent when the denominator is _________________.
Group of answer choices
100
50
10
20
A fraction can easily be written as a percent when the denominator is 100 , the correct option is (a) .
in the question a fraction is given ,
we need to find , what should be the denominator to express the fraction in percent .
the definition of percent states that one part of every hundred is called as percent ,
So , by the definition of percent we can conclude that A fraction can easily be written as a percent when the denominator is 100 .
For Example : 5% can be written as 5/100 , where the denominator is 100 .
Therefore , A fraction can easily be written as a percent when the denominator is 100 .
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1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 1Carmelita used the multiplication table below to write ratios that are equivalent to 3/7 . One number is missing from the equivalent ratio, as shown. 21/(missing) What is the missing number?
7
9
24
49
Answer:
49
Step-by-step explanation:
Someone plz help me
Answer:
The first order.
Step-by-step explanation:
What do these symbols mean?
The funny shaped line is a square root, meaning what times itself (so for example, 3 x 3) gets that number. So the square root of 9=3.
The small 2 in the top right of the big numbers means square. The opposite. This means multiply that big number by itself twice. If the small number was say, 7, you would multiply the big number by itself 7 times. A common mistake is propel multiply the big number by the small number. The square used in these is 2 to the power of 3, the small number. This means you do 2x2x2, as the small 3 determines how many time you multiply the big number, 2. The result of 2x2x2=8.
The fraction is 11/9. The 9 means how many parts are in a whole number. The 11 means how many of those parts you actually have. Like a pizza-if you had a pizza (the whole) split into 7 parts, 7 would be your bottom number (as the 9 is here). If you are 4 parts and were left with 3 parts, 3 would be your top number (as the 11 is here). Seeing as 11 is bigger than 9, you have to imagine 2 pizzas. Each is split into 9, and you have 11 parts altogether. Thsi is 1 whole pizza and 2 extra parts, making the fraction 1 and 2/9. This is jaut another way to write 11/9 but I find it easier to look at.
The answer?
So. We have established that 11/9 = 1 & 2/9
And that 2 cubed (with the small 3 on it) = 8.
Amd the square roots of 5, 11 and 20 are approximately (Not exactly, but close enough) the following:
5. 2.2
11. 3.3
20. 4.4
So this leaves us a bunch of numbers to put in order from smallest to largest. This is fairly easy. It's not the second one. 8>3.3. It's not the third one. 8>2.2. It's not the fourth one. 1 & 2/9 may be smaller than 8, but 2.2 isn't. So this leaves the first order.
*Note that the symbol > means greater than or bigger than. So 8>2 means 8,is bigger than 2.
What is the range of the function y=3√√x+8 1x
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
The expression 5x + 9y +z has three different coefficients. Two
of the coefficients are 5 and 9. Enter the third coefficient?
9514 1404 393
Answer:
1
Step-by-step explanation:
When the coefficient is 1, it is rarely written. The coefficient of z is 1.
What is the value of x in the solution to this system of equations?
y + 2x = -1
y = x+4
Answer:
y = 7/3 x = -5/3
Step-by-step explanation:
The distance between two points, a and b, on a number line is expressed as la – bl. where a and b are rational numbers.Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
ANSWER
EXPLANATION
The distance between two points a dna b on a number line is given as:
|a - b|
Given that point a is greater than point b.
To locate the midpoint between point a and point b, we can use the formula for distance given above.
Because the midpoint is the point that divides a distance (between two points) into two equal halves, then we have to simply find half of the distance.
Because we have to consider possible positive and negative values of a and b, the absolute value cannot play a role in the formula.
This is because absolute value is always positive and that is not always the case for the midpoint of a and b.
Therefore, the midpoint between a and b is:
\(M\text{ = }\frac{a\text{ - b}}{2}\)This formula works for both positive and negative values of a and b.
In the real world, we can use the formula to find the midpoint between two positions on a map.
The function is defined below. Find all values of that are NOT in the domain of g. g(x)=x^2+13+40 / x^2-9
Answer:
g(x)=x-2/x^2-9
If there is more than one value, separate them with commas.
Step-by-step explanation:
The temperature was 14o. If the temperature dropped 5 degrees every hour for 4 hours, what is the temperature after the 4 hours? Which equation could represent this situation?
1)
Which figures appear to be congruent?
[A] 2 and 3
[B] 1 and 4
।
[C] 2 and 5
[D] 1, 2, and 4
A
B
Answer:
answer c
Step-by-step explanation: since i helped can i have brainlist please :D
Help please I’ll give u brainliest but pls explain how as well
Answer:
Its 9!
Step-by-step explanation:
6×3=18
18/2=9
Hope this helps and don't forget to follow!
Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?
Answer:
49500
Step-by-step explanation:
According to the Question,
Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.We have, District geons = 20 , District Size = 5
So, The Number Of Ways A geon can be selected 20 x 5 = 100Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.
So, The number of district two-geon object= \(\left[\begin{array}{ccc}100\\2\end{array}\right] * 10\)
= (100 × 99)/2 × 10
= 49.5×100×10 ⇒ 49500
2. Scotts American Bulldog males have weights that are normally distributed with
a mean of 85 pounds and a standard deviation of 14.6 pounds. Female American
Bulldog have weights that are normally distributed with a mean of 69 pounds and
a standard deviation of 8.8 pounds. We take a sample of 9 male and 8 female
American bulldogs. What is the probability that the difference in mean weight of
the samples (Male - Female) is greater than fifteen pounds? (Please attach your
work).
Answer:
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.
This means that \(\mu = 85, \sigma = 14.6\)
Sample of 9 male bulldogs:
By the Central Limit Theorem:
\(n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667\)
Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.
This means that \(\mu = 69, \sigma = 8.8\)
Sample of 8 female bulldogs:
By the Central Limit Theorem:
\(n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113\)
Subtraction of Male by Female:
\(\mu_S = \mu_M - \mu_F = 85 - 69 = 16\)
\(s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762\)
What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?
This is 1 subtracted by the pvalue of Z when X = 15. So
\(Z = \frac{X - \mu}{\sigma}\)
With our distribution(subtraction)
\(Z = \frac{X - \mu_S}{s_S}\)
\(Z = \frac{15-16}{5.7762}\)
\(Z = -0.17\)
\(Z = -0.17\) has a pvalue of 0.4325
1 - 0.4325 = 0.5675
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
what does SOH,CAH,TOA mean?
Answer:
Use Sin if Opposite Hypotenuse, Use Cosine if Adjacent Hypotenuse, and Use Tangent if Opposite Adjacent
A circle of radius 16 units is divided into 8 congruent slices.
What is the arc length of each slice?
4π units
3π units
2π units
π units
Answer:
4π
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius).
Diameter = 32.
Circumference = π (32) = 32π.
Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.
Seventy of Jo’s students are traveling by bus to the aquarium. They rented 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a van. The equation 2b+6=70 represents the given scenario. What does B represent?
A. The number of students who rode on each bus
B. The number of buses
C. The total number of students going to The football game
D. The number of vans
Answer:
A
Step-by-step explanation:
Determine whether the rule represents an exponential function. Explain why or why not.
Y=-2•x^7 WILL MARK BRAINLIEST
A. Since the independent variable X is not the exponent, y=-2•x^7 does not represent an exponential function.
B. Since the independent variable X is not the base, y=-2•x^7 does not represent an exponential function.
C. Since the independent variable x is the base, y=-2•x^7 does represent an exponential function.
D. Since the independent variable X is the exponent, y=-2•x^7 represents an exponential function.
The equation y = - 2 · x⁷ is not an exponential function because the independent variable x is the base of the formula instead of being its exponent. (Correct choice: A)
Does a given expression represent an exponential function?
In this problem we need to determine whether the equation y = - 2 · x⁷ represent an exponential function or not. Exponential functions are expressions of the form:
y = b · aˣ
Where:
a, b - Real coefficients. (b - Value when x = 0, a - Base)x - Independent variable.y - Dependent variable.By direct comparison we notice that the given equation is not an exponential function as the independent variable x is not the exponent of the expression and it is the base instead. The expression y = - 2 · x⁷ is a power function, not an exponential function.
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Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
1.State the null and alternative hypotheses.
a. H0: µ = 0, Ha: µ > 11.88
b. H0: µ = 0, Ha: µ ≠ 11.88
c. H0: µ = 0, Ha: µ > 12
d. H0: µ = 0, Ha: µ ≠ 12
2.Specify the rejection region for = 0.01. Reject H0 if
a. t > 2.68
b. t < -2.68
c. |t| > 2.68
d. z < 2.68
3.Calculate the p-value
a. 0.01
b. 0.02
c. 0.005
d. 0.05
4. What is your conclusion?
a. Reject H0
b. Fail to reject H0
c. Reject Ha
d. Fail to reject Ha
The null and alternative hypotheses can be stated as follows:
c. H0: µ = 12, Ha: µ ≠ 12
The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.
The rejection region for α = 0.01 can be specified as:
c. |t| > 2.68
This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.
To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.
The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.
Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.
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Best answer gets BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
PLEASE HELP 100 points to who ever gives me the answer Compare the numbers using >, <, or =.
a) -2 3
b) |-12| |15|
c) 3 -4
d) |15| |-12|
e) 7 -11
Answer:
a) -2 < 3
b) |-12| < |15| (the absolute value of -12 is 12 so that's comparing 12 to 15)
c) 3 > -4
d) |15| > |-12|
e) 7 > -11