Answer:
The value of p = -14
Step-by-step explanation:
Given the equation
\(-6\left(p+8\right)=36\)
Divide both sides by -6
\(\frac{-6\left(p+8\right)}{-6}=\frac{36}{-6}\)
simplify
\(p+8=-6\)
Subtract 8 from both sides
\(p+8-8=-6-8\)
simplify
\(p=-14\)
Therefore,
The value of p = -14
Answer:
p = -14
Step-by-step explanation:
-6 ( p + 8 ) = 36
Solve the brackets.
- 6p - 48 = 36
Add 48 to both sides.
- 6p = 36 + 48
- 6p = 84
Divide both sides by -6.
p = -14
HELP ASAP Find the measures of angles x, y and z in the figure.
Answer:
x=26°, y=26°, z=26°
Step-by-step explanation:
x+74=100 (the sum of linear pair)
x=100-74
x=26
x=y=26 (alternate angle)
y=z=26 (vertically opposite angle V.O.A)
Select whether the model is an angle of elevation or an angle of dep270 ITCMathBits.comB
Explanation:
The term angle of depression is defined as the angle from the horizontal line downward to an object. An observer's line of sight would be below the horizontal.
For angle of elevation, an observer's line of sight would be above the horizontal.
According to the diagram shown; The diagram with angle 27degrees models angle of depression while that of angle 25 degrees models an angle of elevation.
Alex went to Seattle for the weekend d with his parents. He went into the Hard Rock Cafe and bought a sweatshirt for 59.99. Sales tax is 7.5% how much did Alex pay the cashier?
Alex paid 64.48
price of sweatshirt which alex bought : 59.99
sales tax : 4.499
total price alex paid is 64.48
calculation of salex tax
price of sweatshirt :59.99.
sales tax :4.499
{59.99 x 7.5% } = 4.49
Alex paid 64.48
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Amaya is using 36 carpet squares to cover the floor of her closet. If
3/4 of the squares are blue, how many blue squares did she use?
A. 9
B. 12
C. 24
D. 27
Amaya used 27 blue squares out of 36 carpet squares to cover the floor of her closet.
Given:
Amaya is using 36 carpet squares to cover the floor of her closet.
i.e. Total number of carpet squares Amaya used = 36
If 3/4 of the total carpet squares are blue is given.
So, assume blue squares = x
i.e 3/4 of total carpet squares = x
3/4 * 36 = x
Canceling by 4, We get,
=> x = 3 *9
=> x = 27
The value of x is equal to 27.
So, the value of other squares is equal to 1/4.
i.e 1/4 of total carpet squares = Other squares
1/4 * 36 = Other squares
Canceling by 4, We get,
=> Other squares = 9
The other square is 9.
Hence, she uses 27 blue squares to cover the floor of her closet.
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Ice cream cones cost $2 and
cupcakes cost $4.You and your
friends spent $28 and
purchased 9 items. How many
ice cream cones and how
many cupcakes did you buy?
Help please hurry too!!!!
Answer:
false
Step-by-step explanation:
You are facing north. You turn 45 degrees to your left. Take two steps forward. Turn 180 degrees. Turn 45 degrees to your right. Take one step back. Turn 90 degrees to your right. Which one of these statements is true?* You are facing the same direction you started. You are facing east. You are facing south. You are standing on the same spot you started out on. You are facing west.
Answer: Northeast - unless you are at the South Pole, in which case you are still facing North.
Step-by-step explanation
Sequence:
Facing North
90 degrees left = facing West
180 degrees right = facing East
reverse = facing West
45 degrees left = facing Southwest
reverse = facing Northeast
Pls helpppppppppppppppppppppppp
Answer:
0.46
Step-by-step explanation:
Answer:
0.46
I got the answer by counting the shaded boxes of the shape.
With the full moon at position 3, which two positions experience low tide? 3 and 5 5 and 9 6 and 12 9 and 12
When the full moon is at position 3, positions 9 and 12 experience low tide.
The correct option is 9 and 12.
The positions of the moon and the sun have an impact on the tides of the Earth's oceans.
What is a tide?
Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.
In order to determine which two positions experience low tide, the Moon's position must be considered.
When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.
When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.
In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.
Thus, the correct option is 9 and 12.
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Chanel ordered a box of cone-shaped tree decorations for the holidays. If she ordered a box of 5 trees with the dimensions shown below, how much space will the trees take up in the shipping box? Use 3.14 for pi.
Answer:
See Explanation
Step-by-step explanation:
The question has missing details; as the dimension of the cone is not given. I will give a general explanation on how to solve a question like this.
The space occupied implies that we calculate the volume of the cone.
The volume of 1 cone is:
\(V_1 = \frac{1}{3}\pi r^2h\)
Since there are 5 cone trees, the total amount of space is:
\(V =5 * V_1\)
\(V = 5 * \frac{1}{3}\pi r^2h\)
Assume the height and the radius of the cone tree are: 6cm and 7cm respectively.
The expression becomes
\(V = 5 * \frac{1}{3} * 3.14 * 7^2 * 6\)
\(V = 1538.6cm^3\)
Using the assumed dimensions, the amount of space occupied is \(1538.6cm^3\)
solve by quadratic equation.
x(x+5)=0
You drive a delivery truck that can travel 300 miles on a full tank that holds 20 gallons of gasoline. What is the truck's gas mileage, in miles per gallon?
Answer: 15 miles per gallon
A statistical study involves a data set of the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014.
What type of observational study is this?
A) cross-sectional study
B) Retrospective study
C) Prospective study
D) Experiment
The study described is a retrospective study.
A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.
In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.
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Without using a calculator evaluate 5×(88)²-720 using special algebraic identity
Answer:
38000
Step-by-step explanation:
=5*(88)^2 -720
=5*7744 -720
=38720-720
=38000
I did it without using calculator
Which is the correct equation for the graph of fx), a transformation of the graph of g(x) = 10g2X?
O A.
fx) = -10g2(x + 2)
© B.
A(x) = 10g2(x - 2) + 2
© C.
fx) = -1082X+ 2
© D.
f(x) = 10g2X - 2
The correct equation for the graph of fx), a transformation of the graph of g(x) = 10g2X is option B: A(x) = 10g2(x - 2) + 2.
This equation represents a horizontal translation of 2 units to the right and a vertical stretch by a factor of 10 of the original function g(x) = g2X. The -2 added at the end of the equation represents a vertical shift down by 2 units.
Your answer: B. f(x) = 10g2(x - 2) + 2
This equation represents a transformation of the graph of g(x) = 10g2x, with a horizontal shift 2 units to the right and a vertical shift 2 units up.
The equation of a graph is a mathematical representation of the relationship between the variables that define the graph. The equation describes how the value of one variable (usually the dependent variable, denoted as y) changes in response to changes in the value of another variable (usually the independent variable, denoted as x).
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Evaluate the trigonometric function at the given real number. Write your answer as a simplified fraction, if necessary. 2x f(t)=sint; t=- 3 0/6 olo X
Evaluating the trigonometric function f(t) = sin(t) at t = -3/6 results in f(t) = -1/2.
To evaluate the trigonometric function f(t) = sin(t) at the given real number t = -3/6, we substitute this value into the function and simplify.
The trigonometric function sin(t) represents the sine of an angle t. Since t is given as -3/6, we can express it as -π/6 radians or -30 degrees (assuming t is measured in radians or degrees, respectively).
Substituting t = -π/6 into the function, we have f(t) = sin(-π/6).
Using the symmetry property of the sine function, sin(-θ) = -sin(θ), we can rewrite the expression as f(t) = -sin(π/6).
The sine of π/6 is a well-known value in trigonometry and equals 1/2. Therefore, f(t) = -1/2.
It's important to note that the values provided (-3/6 or -30 degrees) correspond to the same angle but in different units (radians and degrees). The final answer does not depend on the choice of units and remains -1/2 regardless of whether radians or degrees are used.
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the salaries of the employees of a corporation are normally distributed with a mean of $25,000 and a standard deviation of $5,000. a. what is the probability that a randomly selected employee will have a starting salary of at least $31,000?
The evaluated probability for chances of randomly selecting an employee who will have a starting salary of at least $31,000 is 11.51%. Here, we have to depend on the principles of standard normal distribution to find the percentage of probability,
Let us take z-score for a starting salary of $31,000 as
z = (31000 - 25000) / 5000
= 1.2
Now after using a standard normal distribution table , the probability of a z-score of 1.2 or greater is approximately 0.1151
Converting it into percentage
0.1151 x 100
= 11.51%
The evaluated probability for chances of randomly selecting an employee who will have a starting salary of at least $31,000 is 11.51%.
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Integrate by hand the following functions: adr b) (42³-2r+7) dz Upload Choose a File
The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.
To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:
∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C
where C is the constant of integration.
Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.
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amc 20 competition has 50 questions. 4 points are given for each correct answer, 1 point for each question left blank, and 0 points for each incorrect answer. how many different scores are possible?
There are 101 different scores possible on the AMC 20 competition.
In this competition, each question can have one of three outcomes: correct, incorrect, or blank. For each correct answer, 4 points are awarded, for each incorrect answer, 0 points are awarded, and for each blank answer, 1 point is awarded.
To determine the number of different scores possible, we need to consider the possible combinations of correct, incorrect, and blank answers. Let's analyze the options:
1. All answers are correct: In this case, the total score would be 4 points for each of the 50 questions, resulting in a score of 200.
2. All answers are incorrect: Here, the total score would be 0 points for each of the 50 questions, resulting in a score of 0.
3. All answers are left blank: In this scenario, the total score would be 1 point for each of the 50 questions, resulting in a score of 50.
Now, we can consider different combinations of correct, incorrect, and blank answers. For example, if we have 49 correct answers and 1 incorrect answer, the score would be 49 * 4 + 1 * 0 = 196. Similarly, if we have 48 correct answers, 1 incorrect answer, and 1 blank answer, the score would be 48 * 4 + 1 * 0 + 1 * 1 = 193.
By considering all possible combinations, we can see that there are a total of 101 different scores possible on the AMC 20 competition.
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In a video store, a DVD was $13.50. It was now marked, "10% off". What was the sale price of the DVD?
Answer:
$12.15
Step-by-step explanation:
13.50 x 0.9 = 12.15
Answer:
$12.15
Step-by-step explanation:
10% of 13.50 is 1.35. Subtract 1.35 from 13.50 to get 12.15
The table shows the relationship between the production and the export of rice in Vietnam from 1985 to 2005.
How much rice would you expect Vietnam to export in 2015 if the production that year is 42,250,000 tonnes?
- How can you use a scatter plot to find a linear model?
1) We would need to determine the slope and use it to find the amount of rice from the scatter plot.
2) The amount of rice is 12325.
What is the scatter plot?A scatter plot is a type of data visualization that displays the relationship between two numerical variables. It is a graphical representation of data points on a coordinate system, where each data point represents the values of both variables.
We know that the slope can be obtained from;
\(m = y_{2} - y_{1} /x_{2} - x_{1}\)
Thus we have that;
m = 19225 - 15875/1624 - 59
m = 3350/1565
m = 2.14
My model is then;
42250 = 2.14x + 15875
x = 42250 - 15875/2.14
x = 12325
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RAFFLE The Harvest Fair sold 967 raffle tickets for a chance to win a new TV. Copy and complete the table to find each probability of not winning the TV with the given number of tickets
When all 967 tickets are purchased, the probability of not winning is 0 (or 0%).
What is probability?The probability of an event occurring is defined by probability. There are numerous real-life scenarios in which we must forecast the outcome of an occurrence.
To find the probability of not winning the TV with a given number of tickets, we need to calculate the ratio of the number of losing tickets to the total number of tickets. The completed table is as follows:
Number of Tickets | Number of Losing Tickets | Probability of Not Winning
-----------------|-------------------------|----------------------------
0 | 967 | 1.000
1 | 966 | 0.999
10 | 957 | 0.990
50 | 917 | 0.948
100 | 867 | 0.897
200 | 767 | 0.793
300 | 667 | 0.690
400 | 567 | 0.587
500 | 467 | 0.483
600 | 367 | 0.380
700 | 267 | 0.277
800 | 167 | 0.173
900 | 67 | 0.069
967 | 0 | 0.000
As the number of tickets purchased increases, the probability of not winning the TV decreases. When no tickets are purchased, the probability of not winning is 1 (or 100%). When all 967 tickets are purchased, the probability of not winning is 0 (or 0%).
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gambler thinks a die may be loaded, that is, that the six numbers are not equally likely. to test his suspicion, he rolled the die 150 times and obtained the data shown in the following table. number 1 2 3 4 5 6 freq. 23 26 23 21 31 26 do the data provide sufficient evidence to conclude that the die is loaded? perform the hypothesis test at the 0.05 significance
Based on the given data, a hypothesis test can be performed to determine if there is sufficient evidence to conclude that the die is loaded. The significance level for this test is 0.05.
In order to conduct the hypothesis test, we can use the chi-squared test for goodness of fit. The null hypothesis (H0) assumes that the die is fair, meaning that each number has an equal probability of occurring. The alternative hypothesis (Ha) suggests that the die is loaded, meaning that the probabilities are not equal.
Using the chi-squared test, we can calculate the test statistic and compare it to the critical value from the chi-squared distribution with 5 degrees of freedom (6-1). If the test statistic exceeds the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.
The chi-squared test will assess the difference between the observed frequencies and the expected frequencies assuming a fair die. If the observed frequencies deviate significantly from the expected frequencies, it would indicate that the die is loaded.
Performing the chi-squared test and comparing the test statistic to the critical value at a significance level of 0.05 will allow us to determine if there is sufficient evidence to conclude that the die is loaded.
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What is the most important cell in your body and why is it important like math
The most important cell in your body is the red blood cell.
What are cells?Cells are the fundamental components of life. Every item you observe contains cells. Organelles are structures found inside cells that allow the cell to function.
Red blood cells are the most frequent form of blood cell and the vertebrate's primary mechanism of distributing oxygen to bodily tissues via blood flow through the circulatory system.
Blood cell activity is essential to life, from delivering oxygen throughout the body to battling infection. Bone marrow is responsible for the production of blood cells. Red blood cells, white blood cells, and platelets are the three major types of blood cells.
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A wine cellar contains white red and rose wine. On the weekend, Vedat Milor will come to visit the cellar to taste wine. He will be given 2 wine rights to taste wine but does not know which color wine will come from the barrel. If the wine that is choosing randomly from the barrels is red at least once (order is not important), 1 bottle of his favorite wine is given as a gift. a) What is the PMF of X which is defined as drinking at least a glass of red wine? I
PMF of X, which is defined as drinking at least a glass of red wine is 1 - [(Total number of barrels - Number of red wine barrels) / Total number of barrels]².
Here,PMF is the abbreviation of Probability Mass Function.The given statement indicates that Vedat Milor will be given two wine glasses to taste wine. The color of the wine will be selected randomly from the barrels containing white, red, and rose wine.
1 bottle of his favorite wine will be given as a gift if the wine is selected randomly from the barrels and at least one glass of red wine is tasted. We need to find the Probability Mass Function (PMF) of X, which is defined as drinking at least a glass of red wine.The PMF of X, which is defined as drinking at least a glass of red wine can be calculated as follows:Probability of at least one glass of red wine = P(X ≥ 1)
The probability of the wine to be selected randomly from the barrels containing red wine is: P(Red wine) = Number of red wine barrels / Total number of Barrels
Similarly, the probability of the wine to be selected randomly from the barrels containing white and rose wine is:
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The length of a rectangular speaker is three times its width and the height is four more than the width. Write an expression for the volume V of the rectangular prism in terms of its width, w.
Formula: V = (length)(height)(width)
L=
W=
H=
PLEASE SHOW WORK
Answer:
Step-by-step explanation:
W = w
L = 3w
H = w+4
Now V = LHW
= (3w)(w+4)(w)
= (3w²+12w)(w)
= 3w³+12w²
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
the process of finding the derivative of a function is called____.
The process of finding the derivative of a function is called differentiation.
Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.
The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.
The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.
By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.
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6y-10y-11=8y-2y+29 step by step?
Step-by-step explanation:
6y - 10y - 11 = 8y - 2y + 29
6y - 10y +16y - 11 = 8y - 2y + 29 + 16y
-11 = 22y + 29
11 = 22y + 40
-29 = 22y
Not sure yet I think I made a mistake hold up
Solutions of 3x+2y=4 and 6x+4y=8
please tell me how many solutions there are , I will mark you brainiest!!!!
Answer:
Infinite solutions
Step-by-step explanation:
1) First, you can solve this easily by elimination. Multiply the first equation by -2 in order to cancel out terms when adding to the second equation.
2) Then, add the new set of equations together. However, everything cancels out, bringing us to 0 = 0. This means that the lines the equations make must be the same. Thus, all real numbers must make this equation true, meaning that there are infinite solutions.
Step-by-step explanation:
3x + 2y = 4
2y = -3x +4
y = -3/2x +2
6x+4y = 8
4y = -6x +8
y = -6/4x + 8
y = -3/2x + 8
same slope, bit different intercepts. they are parallel. no solutions