Solve for z.
z/4 −2
= 2
z =
Answers
Answer:
z=16
Step-by-step explanation:
z/4-2=2(take l.c.m)
or,(z-8)/4=2
or,z-8=8
z=16
Answer:
z = 16
I hope this helps!
Related Questions
answer this guys i will give brainliest! have a good day !!!
Answers
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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I NEED THIS EXTREMELY FAST
Answers
Answer:
4\(\frac{3}{8}\)
Step-by-step explanation:
Answer:
4 3/8
Step-by-step explanation:
4*8=32 35-32=3
How many times larger is 8.1 than 2.7
Answers
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y=2x+6
Step-by-step explanation:
How do the values compare? Order the values from least to greatest.
|1 1/4|
|-1 3/4|
3/4
-2 1/4
-1 1/4
|-2 1/4|
Answers
Answer:
see below
Step-by-step explanation:
For absolute values | x | just drop the sign of the number and make it positive
example : | -3| = 3
so for this Q
-2 1/4 - 1 1/4 3/4 1 1/4 1 3/4 2 1/4
The pressure resulting from a force of 50 N exerted over an area of 5 m2 is (2
marks)
Answers
Answer:
\(pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} \)
The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately 10.5°. If skyscraper B is 1463 feet tall, how far apart are the two skyscrapers? Assume the bases of the two buildings are at the same elevation.
Answers
The two Skyscrapers are approximately 7670.51 feet apart.
The distance between the two skyscrapers, we can use trigonometry and the given information about the angle of inclination and the height of skyscraper B. Let's break down the problem step by step.
1. Let's denote the distance between the bases of the two skyscrapers as d.
2. We can visualize the situation as a right triangle, where the height of skyscraper B (1463 feet) represents the opposite side and the distance between the two buildings (d) represents the adjacent side. The angle of inclination (10.5°) is the angle between the adjacent side and the hypotenuse.
3. The trigonometric function that relates the opposite side, adjacent side, and the angle of inclination is the tangent (tan) function: tan(angle) = opposite/adjacent.
4. Plugging in the known values, we have tan(10.5°) = 1463/d.
5. To solve for d, we can rearrange the equation: d = 1463 / tan(10.5°).
6. Evaluating the tangent of 10.5° using a calculator, we find that tan(10.5°) is approximately 0.1908.
7. Now, substituting this value into the equation, we have d = 1463 / 0.1908.
8. Calculating the right side of the equation, we find that d is approximately 7670.51 feet.
Therefore, the two skyscrapers are approximately 7670.51 feet apart.
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which is the correct word form of 8.16
a . eight and sixteen tenths
b. eight and sixteen hundredths
c. eight hundred sixteen hundredths
d. eight hundred sixteen thousandths
Answers
The correct word form of 8.16 is b. eight and sixteen hundredths
Since the number is 8.16, we have 8.16 = 8 + 0.16 = 8 + 16/100
Since we have 8 in the units place, it is pronounced eight.
Also, we have our decimal part 0.16 = 16/100 which is pronounced as sixteen hundredths.
So, combining both we have eight and sixteen hundredths.
So, the correct word form of 8.16 is b. eight and sixteen hundredths
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In an effort to cut costs and improve profits, many US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted. What is the probability (as a decimal) that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round to 4 decimal places
Answers
0.23% probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.
What is Central Limit Theorem ?
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean μ and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s.
The central limit theorem will be used to find the probability (as a decimal) that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.
Now we use the sampling distribution of the sample proportions, which have:
μ = p = 0.54
s = √{(p(1-p)/n)}
s = √{(0.54x0.46)/555)}
s = 0.0212
The probability is the p-value of Z when X = 0.48. So
Z = (X- μ)/σ
By the Central Limit Theorem
Z = (X- μ)/s
Z = (0.48-0.54)/ 0.0212
Z = -2.84, has a p-value of 0.0023.
0.0023 x 100% = 0.23%
This, 0.23% probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.
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let p= fg where f (0,5) and g (-4,-3). what is the direction angle of -3/2p?
Answers
Answer: its B) 63
Step-by-step explanation:
On edge 2021
2x+7=10 solve x simplify your answer
Answers
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2x+7=10 (subtract 7 from both sides)
2x=10-7
2x=3 (divide both sides by 2)
X=3/2
Simplify
X= 1.5 or 1 1/2
Jimmy and Chris go to Chick-fill-A. Jimmy orders 2 chicken sandwhiches and 5 cookies and pays
$17. Chris orders 3 chicken sandwiches and 2 cookies and pays $20. How much does a chicken
sandwich cost?
Answers
Answer:
A sandwich costs $6
Write how many tens. Then add.
60+ 10 =
Enter the correct numbers in the boxes.
Tens + tens = tens
Answers
Answer:
60 contain 6 tens
then
60+10
contain
7 tens
the
correct answer
is
7 tens
Answer:
6 tens + 1 ten = 7 tens
Step-by-step explanation:
6 tens = 60
1 ten = 10
7 tens = 70
Which choices are equivalent to the expression below? Check all that apply.
3/6
A. 6. 12
B. 19.
I c. 15.12
D. 5. 24
E. 6. 24
F. 72
Answers
Answer:
A, C, E
Step-by-step explanation:
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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PLEASE HELP
Simplify 1. 7a^10 - 112a^2 completely
Answers
Answer:
7a^2(a^4 + 4)(a^4 - 4)
Step-by-step explanation:
To simplify 7a^10 - 112a^2, we need to find the greatest common factor (GCF) of the two terms and factor it out.
The GCF of 7a^10 and 112a^2 is 7a^2.
So, we can factor out 7a^2 from both terms, which gives:
7a^2(a^8 - 16)
Now, we can further simplify the expression by noticing that a^8 - 16 is a difference of squares. We can write it as:
a^8 - 16 = (a^4)^2 - 4^2 = (a^4 + 4)(a^4 - 4)
Therefore, the fully simplified expression is:
7a^2(a^4 + 4)(a^4 - 4)
Let V and W be finite dimensional vector spaces. Assume that dim(W) = m, and dim(V) n. Suppose v V and vメ0. (a) Let U T E L(V,w) : T(v) -0]. Prove that U is a subspace of L(V, W) (b) Let F : L(V,W) → W be the map defined by F(T) =T(v). Show that F is a linear map, and U is the null space of F. (c) Find the dimension of U.
Answers
(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1
The dimension of U is n - 1
(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:
If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.
If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.
Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.
As a result, U is a subspace of L. (V, W).
(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:
Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).
Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).
As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.
(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.
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if 1 kg is equal to 1,000 G how many grams are in 7.28 kg explain how you found your answer
Answers
Answer:
here is your answer attached
Step-by-step explanation:
Evaluate: \/ \/ \/ \/ \/ \/ \/ \ / \/ \/ \/ \/ \/ \
Answers
Answer:
A
Step-by-step explanation:
Use Math-way to help.
A wire runs from the top of a 24 foot telephone
pole to a point on the ground 34 feet from the
base of the pole. What is the measure of the angle
of elevation from the point on the ground to the
top of the flagpole ? Round to the nearest degree.
Answers
Answer:35 degrees.
Step-by-step explanation:
The height of the pole is the opposite
find the area each sector. Do Not round. Part 1. NO LINKS!!
Answers
Answer:
\(\textsf{Area of a sector (angle in degrees)}=\dfrac{\theta}{360 \textdegree}\pi r^2\)
\(\textsf{Area of a sector (angle in radians)}=\dfrac12r^2\theta\)
17) Given:
\(\theta\) = 240° r = 16 ft\(\textsf{Area of a sector}=\dfrac{240}{360}\pi \cdot 16^2=\dfrac{512}{3}\pi \textsf{ ft}^2\)
19) Given:
\(\theta=\dfrac{3 \pi}{2}\)r = 14 cm\(\textsf{Area of a sector}=\dfrac12\cdot14^2 \cdot \dfrac{3\pi}{2}=147 \pi \textsf{ cm}^2\)
21) Given:
\(\theta=\dfrac{ \pi}{2}\)r = 10 mi\(\textsf{Area of a sector}=\dfrac12\cdot10^2 \cdot \dfrac{\pi}{2}=25 \pi \textsf{ mi}^2\)
23) Given:
\(\theta\) = 60°r = 7 km\(\textsf{Area of a sector}=\dfrac{60}{360}\pi \cdot 7^2=\dfrac{49}{6}\pi \textsf{ km}^2\)
Find the perimeter of this rectangle.
4.5 m
3 m
Not to scale
Answers
Answer:
15 m
Step-by-step explanation:
perimeter of rectangle = 2 ( l + b )
l = 4.5
b = 3
p = 2 ×( 4.5 + 3)
p = 2 × ( 7.5)
p = 15 m
If -2 < x < -1 then which of the following orders x , x^2 , and x^3 from least to greatest?
A. x < x^2 < x^3
B. x^2 < x^3 < x
C. x^3 < x < x^2
D. x < x^3 < x^2
E. x^3 < x^2 < x
Answers
Answer:
The Answer is C
Step-by-step explanation:
we know that x is a negative number since it is between -1 and -2. A negative number cubed will be a negative number and since we're multiplying, x^3 will be less than x. A negative number squared will be positive, thus x^2 is the greatest.
by selecting the filled-in regions on the graph, you can determine that the area of the canvas covered by the barn door is equal to 15 square inches.By selecting the filled-in regions on the graph, you can determine that the area of the canvas covered by the road is equal to [ ] square inches.
Area of the road 4 (in both selected sides)
Which of the following statements are true regrading areas?
-Each palette icon will always allow you to drag only one fill area onto the graph.
-Areas can be used to shade a region of any shade.
-Changing the position of the other objects on the graph may change the shape of the possible regions you may fill.
Answers
The statements that are true regarding the areas are that each palette icon will always allow you to drag only one fill area onto the graph. Changing the position of the other objects on the graph may change the shape of the possible regions you may fill.
The statement "Each palette icon will always allow you to drag only one fill area onto the graph." is true.
The statement "Areas can be used to shade a region of any shade." is false. Areas can be used to shade a region in a specific colour or pattern, but not necessarily any shade.
The statement "Changing the position of the other objects on the graph may change the shape of the possible regions you may fill." is true.
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For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answers
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
A city bus compny sold 35 one-way tickets and 20 round trip tickets from west elmwood to east elmwood. One way tickets cost $14. Round trip tickets cost $27. How much money did the bus company collect?
Answers
Answer:
$1,030
Step-by-step explanation:
Step 1- Multiply One way tickets by How much the tickets cost:
35 x 14= 490
Step 2- Multiply Round trip tickets by how much the tickets cost:
20 x 27= 540
Step 3- Add both sums together:
490 + 540= 1,030
Therefore, the answer is $1,030
Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental companies in Boston is taken and the sample mean car rental rate is $47, with a standard deviation of $3. Further, suppose a survey of nine car rental companies in Dallas results in a sample mean of $44 and a standard deviation of $3. Use alpha = 0.05 to test to determine whether the average daily car rental rates in Boston are significantly higher than those in Dallas. Assume car rental rates are normally distributed and the population variances are equal. The null hypothesis for this problem is ______.
a) μ1 - μ2 < 0
b) μ1 - μ2 > 0
c) μ1 - μ2 = 1
d) μ1 - μ2 ≠ 0
e) μ1 - μ2 = 0
Answers
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean daily car rental rates for Boston and μ2 be the mean daily car rental rates for Dallas.
The random variable is μ1 - μ2 = difference in the mean daily car rental rates for Boston and the mean daily car rental rates for Dallas
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 > μ2 H1 : μ1 - μ2 > 0
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(x1 - x2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 47
μ2 = 44
s1 = 3
s2 = 3
n1 = 8
n2 = 9
t = (47 - 44)/√(3²/8 + 3²/9)
t = 1.41
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [3²/8 + 3²/9]²/[(1/8 - 1)(3²/8)² + (1/9 - 1)(3²/9)²] = 4.515625/0.28571428571
df = 16
We would determine the probability value from the t test calculator. It becomes
p value = 0.09
Since alpha, 0.05 < than the p value, 0.09, then we would fail to reject the null hypothesis.
The Language Arts department conducts a study to see if the number of books a student reads per month affects the score on the SAT Verbal Test. Here is the data that the Language Arts department collected for 8 students. Create the scatter plot for this data set. What is the equation of the line of best fit?
Answers
A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.
A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.
Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.
From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.
The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.
To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.
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Solve each equation by completing the square.
d² - 24d + c
Answers
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants to be paid at least $500. Which inequality can be used to find the number of sales she needs to make?
A. 100-15x ≤ 500
B. 100+15x ≤ 500
C. 100-15x ≥500
D. 100+15x ≥ 500
Answers
Answer:
its B I think so yea
Step-by-step explanation: