Answer:
23°
Step-by-step explanation:
Opposite angles so:
60° = 2x + 14
Therefore:
x = 23°
Answer:
x is 23°
Step-by-step explanation:
those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two
(I had a tutor helping me but the app randomly logged me off so can someone please help)Solve and graph each compound inequality.a.5x+1>11 or x-1<-4b. -5x > 20 or x-2>7
Answer
a) x > 2 OR x < -3
b) x < -4 OR x ≥ -5
Explanation
The compound inequalities to be solved and graphed include
a) (5x + 1) > 11 OR (x - 1) < -4
b) (-5x) > 20 OR (x - 2) ≥ -7
The first step is to solve these expressions
a) (5x + 1) > 11 OR (x - 1) < -4
5x + 1 > 11
Subtract 1 from both sides
5x + 1 - 1 > 11 - 1
5x > 10
Divide both sides by 5
(5x/5) > (10/5)
x > 2
OR
x - 1 < -4
Add 1 to both sides
x - 1 + 1 < -4 + 1
x < -3
So, the solution for this is x > 2 OR x < -3
b) (-5x) > 20 OR (x - 2) ≥ -7
(-5x) > 20
Divide both sides by -5
Note that dividing both sides by a negative number causes the inequality sign to change
(-5x/-5) < (20/-5)
x < -4
OR
(x - 2) ≥ -7
Add 2 to both sides
x - 2 + 2 ≥ -7 + 2
x ≥ -5
So, the solution for this is x < -4 OR x ≥ -5
In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.
But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.
The solution to X +9-3 is less than or equal to 14
Answer:
\(x∈( - ∞;8]\)
Step-by-step explanation:
\(x + 9 - 3 \leqslant 14\)
Collect like-terms:
\(x \leqslant 14 - 9 + 3\)
\(x \leqslant 8\)
\(x∈( - ∞;8]\)
using d=rt , where d=distance r=rate and t=time how fast is a jogger moving if she travels 5.7 miles in 1.3 hours? to the nearest tenth
Answer:
\(r=4.38\)
Step-by-step explanation:
Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)
\(\frac{d}{t} = \frac{rt}{t}\)
\(t\) cancels out on the right side.
Step 2: Substitute in the numerals
\(r=\frac{d}{t}\)
\(r=\frac{5.7}{1.3}\)
Step 3: Divide
\(r=4.38\) \(mph\)
There's your answer!
Hope this helps you!
The table below models a exponential function. Find f(8)
Answer:
Step-by-step explanation:
f(x) = 65536(b)^x
Find b by substituting a point. (1, 16384)
16384 = 65536(b)^1
b=0.25
Thus,
f(x) = 65536(1/4)^x
Plug in 6,
f(8) = 1
Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
5 years longer then Bill, 2x5=10.
10+2=12.
12-5=7
Hoang has be there for 12 years. Bill has for 7 years.
Graph the parabola. Plot five points on the parabola. button.
Step-by-step explanation:
The graph looks like the above picture
Answer:
Image Attached
Step-by-step explanation:
Hello!
To have points with whole numbers, multiples of 3 need to be used for x.
x = 3
y = (1/3)(3)²y = (1/3)(9)y = 3
x = 6
y = (1/3)(6)²y = (1/3)(36)y = 12
x = 9
y = (1/3)(9)²y = (1/3)(81)y = 27
x = 12
y = (1/3)(12)²y = (1/3)(144)y = 48
x = 15
y = (1/3)(15)²y = (1/3)(225)y = 75
Two images are attached, one in correlation to y = x^2, and the original graph with the given points (3,3), (6,12), (9,27), (12,48), (15, 75).
Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be \(y=40000+16000*x\)
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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Domain
Range
Discrete or continuous?
Domain: \(\{x \in \mathbb{R} \space | \space x \in (-6,\infty) \}\)
Range: \(\{y \in \mathbb{R} \space | \space y \in (5, -\infty) \}\)
The graph is continuous in the interval \(-6 \leqslant x < \infty\)
Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Find ij i need help with this
Answer:
IJ is going to be 5400.
Step-by-step explanation:
60*90= 5400.
90 is the right angle on J.
I is 60 degrees.
WILL GIVE BRAINLIEST
A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)
Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys? Show or Explain or work.
Answer:
Step-by-step explanation:
look for the stem and leafs that are less than 10 and add them all up
5+7+9
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
A student earn the score in the data set in 78 64 74 92 67 what is the mean of the scores
Answer:
75
Step-by-step explanation:
78+64+74+92+67 = 375
375 / 5 = 75
Esteban bought a bag of candies that come in different colors. They
like the orange candies the least.
How many orange candies are
in each bag?
40 pieces
25% are orange
Bag A
CANDY
Bag B
CANDY
60 pieces
10% are orange
How many orange candies are in bag A?
How many orange candies are in bag B?
I will mark brainliest to whoever answers first
The bag with 40 candies has 10 orange ones
bag with 60 pieces has 6 orange ones
Question 8 Find BC Show work
The value of BC in triangle ABC is 23.
What is triangle?
A closed plane figure with three straight sides and three angles is known as a triangle. It is made by joining three non-collinear points. Triangles are important in geometry and have various types based on their sides and angles, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles.
Given:- triangle ABC and DEF are similar.
So , AC = DF
Therefore,
4x-23 = 2x+2
4x – 2x = 2 + 23
2x = 25
x = 25/2 = 12.5
therefore, AC = 4x – 23
= 4 * 12.5 – 23
= 50 – 23
AC =27
So ,From triangle DEF
EF = 2x-2
= 2*12.5 – 2
= 25 – 2
EF = 23
As triangle ABC and DEF are similar.so,
BC = EF = 23
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Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. y = 4x + x
Answer:
y = 4x + x is a linear equation
Step-by-step explanation:
A linear equation has the general equation as below;
\({ \bf{y = mx + k}}\)
k is a constant.
• For y = 4x + x
y = 5xm is 5 and k is 0
\({ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}\)
What combination of transformations is shown below
Answer:
rotation ,then reflection
find the 10% trimmed mean of the following data. if necessary, round to one more decimal place than the largest number of decimal places given in the data. mlb batting averages 0.277 0.279 0.281 0.281 0.282 0.284 0.288 0.288 0.290 0.296 0.296 0.297 0.298 0.299 0.302 0.303 0.306 0.308 0.310 0.312
The largest number of decimal places given in the data be 0.29385.
What is meant by average?The middle number, that is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
The average of a data set is known as the mean in mathematics. To find the mean, add all the numbers together, then divide the total by the total number of numbers.
Average = (0.277 + 0.279 + 0.281 + 0.281 + 0.282 + 0.284 + 0.288 + 0.288 + 0.290 + 0.296 + 0.296 + 0.297 + 0.298 + 0.299 + 0.302 + 0.303 + 0.306 + 0.308 + 0.310 + 0.312)/ 20
simplifying the above equation, we get
= 5.877/20
= 0.29385
Therefore, the largest number of decimal places given in the data be 0.29385.
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Multiply
4.2
x0.6
Type
Type an integer or a decir
Answer:
2.52
Step-by-step explanation:
4.2 × 0.6
Multiply the terms.
= 2.52
Answer:
2.52
hope it helps
Step-by-step explanation:
4.2 x 0.6
To solve this first, you simply multiply 42*06
(Exclude the decimal point)
42 x 6
= 252
Now since there are two numbers after the point (one is 4.2 and one is 0.6)
Move 252 two decimal places to left
= 2.52
A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?
Answer:
Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours
Step-by-step explanation:
We are given;
Sample mean for male employees; x1¯ = 63
Sample mean for female employees; x2¯ = 66
Sample size = 50
Standard deviation; σ = 10
First,let's define the hypotheses of the question;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 ≠ μ2
Now, let's find the test statistic from the formula;
z = (x1¯ - x2¯)/(σ√(2/n))
Thus;
z = (63 - 66)/(10√(2/50))
z = -3/2 = - 1.5
Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.
Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;
p-value = 0.13364
The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation
What is the equation for m=-2/3, (6,-5)
Answer:
y = -2/3 x - 1
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
-5 = -2/3 × 6 + b
-5 = -4 + b
b = -1
y = -2/3 x - 1
Let f(x) = -2x -1, h(x)= -x -3 find (f ° h)(-3)
Answer:
(f o h)(-3) = -1
Step-by-step explanation:
(f o h)(x) = -2(-x - 3) - 1
(f o h)(x) = 2x + 6 - 1
(f o h)(x) = 2x + 5
(f o h)(-3) = 2(-3) + 5
(f o h)(-3) = -6 + 5
(f o h)(-3) = -1
If a = (3-2√2) find the value of a4+ 1/a4
Answer:
1154
Step-by-step explanation:
Perhaps the easiest way to evaluate this numerical expression is to let a calculator do it. Alternatively, we can compute the value from a +1/a.
__
expressionConsider the square of a +1/a:
(a +1/a)^2 = a^2 +2(a)(1/a) +1/a^2 = (a^2 +1/a^2) +2
This means ...
a^2 +1/a^2 = (a +1/a)^2 -2
Similarly, using a^2 for 'a' in the above, we have ...
a^4 +1/a^4 = (a^2 +1/a^2)^2 -2
numerical valueThe value of a +1/a is ...
\(a+\dfrac{1}{a}=3-2\sqrt{2}+\dfrac{1}{3-2\sqrt{2}}=(3-2\sqrt{2})+\dfrac{3+2\sqrt{2}}{3^2-(2\sqrt{2})^2}\\\\=(3-2\sqrt{2})+(3+2\sqrt{2})\\\\a+\dfrac{1}{a}=6\)
Then the value of a^2 +1/a^2 is 6^2 -2 = 34
and the value of a^4 +1/a^4 is 34^2 -2 = 1154
Analyze the diagram below and complete the instructions that follow.
8
45°
Find the value of x.
A. 4
B. 8√√2
2
C. 4√2
DG
45°
Save and Exit
Next
Subr
Answer:
Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.
Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:
x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)
So the value of x is option B: 8√2 / 2 or simplified, 4√2.
In which number is the digit 4 ten times larger than in the number 384?
O 842
O 954
O 1,469
O 4,216
The number 842 is the number whose digit 4 is ten times larger than in the number 384
Finding the numberTo solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.
In the number 384, the digit 4 is in the ones place, which means that its value is 4.
To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.
The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.
Therefore, the correct answer is 842.
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5.5b≤10.89 solve for b
\(5.5b\leq 10.89\)
Divide both sides by 5.5:
\(\dfrac{5.5b}{5.5} \leq \dfrac{10.89}{5.5}\)
Answer:
\(b\leq 1.98\)
Answer:
b ≤ 1.98
Step-by-step explanation:
Given equation,
→ 5.5b ≤ 10.89
Now the value of b will be,
→ 5.5b ≤ 10.89
→ b ≤ 10.89 ÷ 5.5
→ [ b ≤ 1.98 ]
Hence, value of b is 1.98.
Rick’s scores in his last 15 rounds of golf are 72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, and 72. If he scores an 80 on each of the next three rounds, which measure of center would increase more, the mean or median?
Answer:
The median increased more
Step-by-step explanation:
Given that:
Scores on last 15 :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72
Obtaining the range, mean, median and mode from the data above :
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84
Range = 84 - 64 = 16
Mode = 72 - frequency of 3)
Mean = ΣX / n where n = sample size
Mean = 1140 / 15 = 76
Median = 0.5(n+1)th term = 0.5(16)th term =
8th term = 75
A score of 80 on each of next 3 rounds :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84
Range = 84 - 68 = 16
Mean = ΣX / n where n = sample size
Mean = 1380 / 18 = 76.67
Median =0.5(n+1)th term = 0.5(19)th term =
9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5
6. Is the bi-conditional below true or false? Defend your answer. Be sure to address both the
conditional and the converse. Hint: Refer back to your answers to questions 2-5.
I have an 85% if and only if I get a B.
Someone also, please help me!!!!!!!!!!!
Answer:
Conditional: If I have an 85%, then I get a B. True
Converse: If I get a B, then I have an 85%. False; 84% is also a B
So the biconditional statement is false because only the condtional is true.