By the knowledge and application of algebraic definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
How to solve an algebraic equation
In this question we have an equation that can be solved by algebraic definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:
- 10 · x + 1 + 7 · x = 37 Given(- 10 · x + 7 · x) + 1 = 37 Associative property -3 · x + 1 = 37 Distributive property/Definition of subtraction- 3 · x = 36 Compatibility with addition/Definition of subtractionx = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/ResultBy the knowledge and application of algebraic definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
To learn more on linear equations: https://brainly.com/question/2263981
#SPJ1
Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the rental
Answer:
9
Step-by-step explanation:
9x2 is 18, so he can rent a bike for nine days if the rent is $2
Problem 1 Unit Conversion The density of gold is approximately p= 19.32 g/cm³: what is the density of gold in kg/m³? (5 points)
Answer:
19320 kg/m³
Step-by-step explanation:
Pre-SolvingWe are given that the density of gold is 19.32 g/cm³, and we want to convert that density to kg/m³.
We can solve this in a manner similar to dimensional analysis, which is common in chemistry. When we do dimensional analysis, we use conversion factors with labels that we cancel out in order to get to the labels that we want.
SolvingRecall that 1 kg is 1000 g, and 1 m³ is cm. These will be our conversion factors.
So, we can do the following:
\(\frac{19.32g}{1 cm^3} * \frac{1000000 cm^3}{1 m^3} * \frac{1kg}{1000g}\) = 19320 kg/m³
So, the density of gold is 19320 kg/m³.
find the volume of each cone and round to the nearest tenth.
The volume of each cone is given as follows:
r = 4 m and h = 12 m: 201.1 m³.r = 4 cm and h = 20 cm: 335.1 cm³.r = 12 mm and h = 65 mm: 29405.3 mm³.How to obtain the volume?The volume of a cone of radius r and height h is given by the equation presented as follows:
V = πr²h/3.
Hence the volume for each cone in the context of this problem is given as follows:
r = 4 m and h = 12 m: π x 4² x 12/3 = 201.1 m³.r = 4 cm and h = 20 cm: π x 4² x 20/3 = 335.1 cm³.r = 12 mm and h = 65 mm: π x 12² x 65 = 29405.3 mm³.More can be learned about the volume of a cone at brainly.com/question/12004994
#SPJ1
QN is tangent to circle O at point I. IA is the circle's diameter. Find m/QIA.
N
€
E
E
C
3
R
3
C
Help I need help
The measure of tangent angle QIA is 180 degrees.
m/QIA = 180 degrees.
If IA is the diameter of the circle, it means that angle QIA is a right angle (90 degrees). Since QN is tangent to the circle at point I, it is perpendicular to the radius IA at that point.
Therefore, in triangle QIA, we have a right angle at Q and a right angle at I. This implies that angle IQA is also 90 degrees.
In a right triangle, the sum of the angles is 180 degrees. Since angles QIA and IQA are both right angles, the remaining angle in the triangle, angle QAI, must be:
180 degrees - 90 degrees - 90 degrees = 0 degrees
Angle QAI is a degenerate angle, which means it has a measure of 0 degrees. Therefore, the measure of tangent angle QIA is 180 degrees.
To summarize, m/QIA = 180 degrees.
For such more questions on Tangent angle
https://brainly.com/question/30385886
#SPJ11
chegg se the Bonferroni method to perform multiple comparisons of the four levels of treatments at the 0.01 level
The Bonferroni method is a procedure for controlling the family-wise error rate (FWER) in multiple comparisons.
To use the Bonferroni method to perform multiple comparisons of the four levels of treatments at the 0.01 level, we would do the following:
Determine the number of pairwise comparisons that will be made. In this case, there are 6 possible pairwise comparisons among the 4 levels of treatments: (1,2), (1,3), (1,4), (2,3), (2,4), and (3,4).
Calculate the Bonferroni-corrected significance level for each pairwise comparison by dividing the desired overall significance level (0.01) by the number of pairwise comparisons. In this case, the Bonferroni-corrected significance level for each pairwise comparison is:
0.01 / 6 = 0.00167
Conduct each pairwise comparison using the Bonferroni-corrected significance level. For example, to compare treatment levels 1 and 2, we would conduct a hypothesis test at the 0.00167 level of significance. If the p-value for the test is less than 0.00167, we would reject the null hypothesis and conclude that there is a significant difference between treatment levels 1 and 2. We would repeat this process for each pairwise comparison.
Note that the Bonferroni method is a conservative approach, meaning that it tends to be more stringent than other methods of controlling the FWER. This can reduce the likelihood of false positives (Type I errors) but may also increase the likelihood of false negatives (Type II errors).
Learn more about "Bonferroni method" : https://brainly.com/question/31384277
#SPJ11
multiply 1 1/4 by 180
Answer:
225
Step-by-step explanation:
1 1/4 can be put into decimal form:
1.25
So the equation would now be
1.25 times 180
use a calculator:
225
Answer: 225
1 1/4 x 180 = 225
which one is it? this is so hard
Answer:
attached
Step-by-step explanation:
2nd pic from left
Eva is solving the equation 4(x+3/2)=8 She says, “I can subtract 3/2 from each side to get 4x=13/2 and then divide by 4 to get x=13/8."
Answer:
Wrong
Step-by-step explanation:
Eva must subtract 4*3/2=6 from each side to get 4x=2, the divide by 4 to get x=1/2
Another way:
First, divide both sides with 4 to get x+3/2=2. Then subtract 3/2 from each side and we will have x= 2-3/2= 1/2
You are testing the null hypothesis that there is no linear
relationship between two variables, X and Y. From your sample of
n=18, you determine that b1=5.3 and Sb1=1.3. What is the
value of tSTAT?
The value of tSTAT is 4.08. The slope of the regression line tells us the rate at which Y changes for each unit increase in X.
tSTAT stands for "t statistic". t statistic is a parameter that estimates how far a sample mean is likely to be from the population mean. A t-test is used to determine whether a difference between two groups is significant. The formula for calculating the t-statistic is:tSTAT = (b1 - 0) / Sb1Where b1 is the slope of the regression line, Sb1 is the standard error of the slope, and 0 is the hypothesized value of the slope (which is zero when testing for no linear relationship between two variables, X and Y).In this case, b1 = 5.3, Sb1 = 1.3, and 0 = 0. Therefore:tSTAT = (5.3 - 0) / 1.3 = 4.08Thus, the value of tSTAT is 4.08.
In statistics, the t statistic is a ratio between the difference between the sample mean and the null hypothesis and the standard error of the mean. The null hypothesis in this case is that there is no linear relationship between two variables, X and Y. The t-test is used to determine whether this null hypothesis is true or not.In order to calculate the t statistic, we need to know the slope of the regression line (b1) and the standard error of the slope (Sb1). The standard error of the slope tells us how much variation there is in the slope estimate from sample to sample.The formula for calculating the t statistic is:tSTAT = (b1 - 0) / Sb1Where b1 is the slope of the regression line, Sb1 is the standard error of the slope, and 0 is the hypothesized value of the slope (which is zero when testing for no linear relationship between two variables, X and Y).In this case, b1 = 5.3, Sb1 = 1.3, and 0 = 0. Therefore:tSTAT = (5.3 - 0) / 1.3 = 4.08.Thus, the value of tSTAT is 4.08.
To know more about regression line visit :-
https://brainly.com/question/30243761
#SPJ11
Sections taken through the narrow width of an entire building are known as ______________________________ sections.
Sections taken through the narrow width of an entire building are known as transverse sections.
What is building?A building is an enclosed structure with a roof and walls standing more or less permanently in one place, such as a house or factory.
Given is a structural analysis blank statement as -
"Sections taken through the narrow width of an entire building are known as __________ sections.
Sections taken through the narrow width of an entire building are known as transverse sections. Those through the long dimension are known as longitudinal sections.
Therefore, Sections taken through the narrow width of an entire building are known as transverse sections.
To solve more questions on buildings, visit the link below -
brainly.com/question/12431044
#SPJ1
Select the TWO numbers that have a 4 in the thousandths place. *
Answer:
54,436.004 and 247,892.984
Step-by-step explanation:
Answer:
third and fourth
Step-by-step explanation:
: suppose we are learning a spline with 3 knots, where the complexity of the functions from the leftmost to the rightmost regions are linear, quadratic, cubic, quadratic. what are the total number of parameters in this model?
Given that we are learning a spline with 3 knots, and the complexity of the functions from the leftmost to the rightmost regions are linear, quadratic, cubic, quadratic.
The total number of parameters in this model can be calculated as follows: We know that the leftmost region is linear, which means it can be represented by a line equation which has 2 parameters, i.e., the intercept and slope.
The second region is quadratic, which means it can be represented by a quadratic equation which has 3 parameters, i.e., the intercept, coefficient of linear term and coefficient of quadratic term.The third region is cubic, which means it can be represented by a cubic equation which has 4 parameters, i.e., the intercept, coefficient of linear term, coefficient of quadratic term, and coefficient of cubic term.The fourth region is quadratic again, which means it can be represented by a quadratic equation which has 3 parameters, i.e., the intercept, coefficient of linear term and coefficient of quadratic term.Therefore, the total number of parameters in this model is:2 + 3 + 4 + 3 = 12So, there are 12 parameters in this model.
To know more about linear function visit:
https://brainly.com/question/29205018
#SPJ11
heyy! i’ll give brainliest please help
Answer:
Name as a person
Step-by-step explanation:
Answer:
In the name of a person.
Step-by-step explanation:
The seasons are not written with capital letters unless they form part of a name. For example:
I am leaving in the winter.
I live near Winter Mountain River.
Find x .
Please help I’m begging
Answer:
x = 103
Step-by-step explanation:
Using the far right intersection, we can figure out that in inner angle is 32 degrees.
32 + 34 = 66 which is the angle of the left side of the middle cross.
x = 37 + 66 = 103
Each number in a sequence is formed by doubling the previous number and then adding 1. If the ninth number in the sequence is63, what is the 10th number minus the 7th number?
Answer:
\(T_{10} - T_7 = 112\)
Step-by-step explanation:
Given
\(T_9 = 63\)
Required
Find \(T_{10} - T_7\)
From the question, we have that:
Each sequence = 2 * Previous sequence + 1;
i.e.
\(T_n = 2 * T_{n - 1} + 1\)
Considering the 9th sequence;
\(T_9 = 2 * T_8 + 1\) ------ Equation 1
Considering the 8th sequence;
\(T_8 = 2 * T_7 + 1\)
Substitute \(2 * T_7 + 1\) for \(T_8\) in equation 1
\(T_9 = 2 * T_8 + 1\) becomes
\(T_9 = 2 * (2 * T_7 + 1) + 1\)
Open bracket
\(T_9 = 2 * 2 * T_7 + 2*1 + 1\)
\(T_9 = 4T_7 + 2 + 1\)
\(T_9 = 4T_7 + 3\)
Substitute 63 for \(T_9\)
\(63 = 4T_7 + 3\)
Subtract 3 from both sides
\(63 - 3 = 4T_3 + 3 - 3\)
\(60 = 4T_3\)
Divide both sides by 4
\(\frac{60}{4} = \frac{4T_3}{4}\)
\(15 = T_7\)
\(T_7 = 15\)
Considering \(T_{10}\)
\(T_1_0 = 2 * T_9 + 1\)
Substitute 63 for \(T_9\)
\(T_1_0 = 2 * 63 + 1\)
\(T_1_0 = 126 + 1\)
\(T_1_0 = 127\)
Calculating \(T_{10} - T_7\)
\(T_{10} - T_7 = 127 - 15\)
\(T_{10} - T_7 = 112\)
Hence, the 10th - 7th number is 112
12. One dekameter is equal to 1.000
centimeters. If Howard's driveway
measures 1.75 dekameters long. how
many centimeters long is the driveway?
Explain your answer.
Answer quick PLZZ no website
Answer:
1 dekameter = 1000 cm
1 dekameter × 1.75 = 1000 cm
1.75 dekameter = 1750 cm
plsss help me!!!!!!!!!!!!!!!!!!
Answer:
105 = (5x-70)
Step-by-step explanation:
You are trying to find x so you would have to place that in to finally get to the end where x = 5
Can someone please help me with this geometry question
Answer:
∠ BAC = 32°
Step-by-step explanation:
Supplementary angles sum to 180° , then
∠ BAC = 180 - (18x + 22) = 180 - 18x - 22 = 158 - 18x
Complementary angles sum to 90° , then
∠ BAC = 90 - (9x - 5) = 90 - 9x + 5 = 95 - 9x
Now equate the 2 expressions for ∠ BAC
95 - 9x = 158 - 18x ( add 18x to both sides )
95 + 9x = 158 ( subtract 95 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Substitute into either of the 2 expressions for ∠ BAC
∠ BAC = 95 - 9x = 95 - 9(7) = 95 - 63 = 32°
if a 10,000 kg ufo made of antimatter crashed with a 40,000 kg plane made of matter, calculate the energy of the resulting explosion.
To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).
In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.
To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.
Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.
Learn more about UFOs here:- brainly.com/question/22862215
#SPJ11
What expression represents the volume of the cone, in cubic units? two-thirdsπx3 four-thirdsπx2 2πx3 4πx3
The expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
Volume of coneThe volume of a cone is given by the following formula presented below;
V = ¹/₃πr²h
where;
V is volume of the coner is radius of the coneh is height of the coneThe volume of a cone can be determined by multiplying the square of the radius and height of the cone.
Thus, the expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
Learn more about volume of cone here: https://brainly.com/question/20099462
Answer:
\(\frac{2}{3}\) π x³
Step-by-step explanation:
The population of Nevada in 2005 was 2. 432 million people. The population increased by 13. 2% in 2012. What was the population density in Nevada in 2012, how many people per square mile?
The population density in Nevada in 2012 was approximately 24.9 people per square mile.
In order to find the population density in Nevada in 2012, we need to know the land area of Nevada in square miles. Assuming the land area of Nevada in 2012 was 110,622 square miles, we can calculate the population density as follows:
First, we need to find the population of Nevada in 2012:
Population in 2012 = Population in 2005 + (Population in 2005 x % increase)
Population in 2012 = 2.432 million + (2.432 million x 0.132)
Population in 2012 = 2.754944 million (rounded to the nearest thousand)
Next, we can calculate the population density:
Population density = Population / Land area
Population density = 2.754944 million / 110,622 square miles
Population density ≈ 24.9 people per square mile
Therefore, the population density in Nevada in 2012 was approximately 24.9 people per square mile.
for such more question on density
https://brainly.com/question/1354972
#SPJ4
a right circular cylinder with radius 2cm is inscribed in a cube whose edges are 5cm long find total surface area?
The total surface area of the figure which consists of a cylinder inscribed into a cube would be = 150cm³
How to calculate the surface area of the cube inscribed with a cylinder?To calculate the surface area of the cube inscribed with a cylinder, the surface area of both a cube and cylinder is first calculated using their various formulas.
The surface area of cylinder = 2πrh+ 2πr²
Where;
h =5cm
r = 2 cm
surface area = 2×3.14×2×5 +2×3.14×4
= 62.8+25.12
= 87.92
Surface area of cube = 6a²
where;
a = length of edges = 5cm
surface area = 6(5)²
= 6×25= 150
Surface area of figure = (SA of cube- SA of cylinder)+ SA of cylinder
= (150-87.92)+87.92
= 62.08+87.92
= 150cm³
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
x+3y=23
x-2y= -17
help elimationmethod
Answer:
1. 20
2.19
ok that will help you
Isla was researching kiwi birds. She categorized each bird she observed by species and gender. The two-way frequency table below shows data from observations of 200 kiwis.
Which of the following statements is true about the kiwis observed?
(Choice A)
There were the most observations of female tokoeka kiwis.
(Choice B)
Great spotted kiwis were more likely to be male than female.
(Choice C)
More than half of the kiwis were Northland brown kiwis.
(Choice D)
Northland brown kiwis were more likely to be female than tokoeka kiwis were.
Answer:
A.
I hope it helps
There were the most observations of female tokoeka kiwis in the given frequency table so option (A) will be correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
The frequency of an occurrence or a value is the number of times it happens.
Given the frequency table of kiwi birds with their gender.
Number of female tokoeka kiwis = 44
Now if we look at the table there is none of any bird that is greater than 44 which means it is the most observations in the research.
Hence "There were the most observations of female tokoeka kiwis".
To learn more about the frequency table,
brainly.com/question/12576014
#SPJ2
Consider the function f(x,y,z)=5+yxz+g(x,z) where g is a real-valued differentiable function. Find the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0). Enter your answer symbolically, as in these
Given, the function is f(x,y,z)=5+yxz+g(x,z)Here, we need to find the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) . The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.
Using the formula of the directional derivative, the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is given by
(f(x,y,z)) = grad(f(x,y,z)).v
where grad(f(x,y,z)) is the gradient of the function f(x,y,z) and v is the direction vector.
∴ grad(f(x,y,z)) = (fx, fy, fz)
= (∂f/∂x, ∂f/∂y, ∂f/∂z)
Hence, fx = ∂f/∂x = 0 + yzg′(x,z)fy
= ∂f/∂y
= xz and
fz = ∂f/∂z = yx + g′(x,z)
We need to evaluate the gradient at the point (3,0,3), then
we have:fx(3,0,3) = yzg′(3,3)fy(3,0,3)
= 3(0) = 0fz(3,0,3)
= 0 + g′(3,3)
= g′(3,3)
Therefore, grad(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))Dv(f(x,y,z))(3,0,3)
= grad(f(x,y,z))(3,0,3)⋅v
where, v = (0,4,0)Thus, Dv(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))⋅(0,4,0) = 0
The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.
Learn more about Derivative:
https://brainly.com/question/32963989
#SPJ11
What is 32 Quartz to 48 Quartz?
32 Quartz to 48 Quartz is 2/3 Quartz
What is Quart measurement ?The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters. These conversion values are as below :
Mathematically, we can write :
In terms of ounces1 quart = 32 fluid ounces
In terms of liters1 quart = 0.94 US liters = 4 cups (approx.)
According to given question, 32 Quartz to 48 Quartz is the ratio of 32 and 48 Quartz value.
Mathematically, we can write :
\(\frac{32 \ Quartz }{48 \ Quartz}\\ \\= \frac{2 \ Quartz}{3 \ Quartz} \\\\or, = \frac{2}{3} Quartz\)
To know more about Quartz, visit:
brainly.com/question/14716713
#SPJ9
Use the drawing tool(s) to form the correct answers on the provided number line.
Yeast, a key ingredient in bread, thrives within the temperature range of 90°F to 95°FWrite and graph an inequality that represents the temperatures where yeast will NOT thrive.
The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F
Writing an inequality of the temperatures where yeast will NOT thrive.from the question, we have the following parameters that can be used in our computation:
Yeast thrives between 90°F to 95°F
For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range
Using the above as a guide, we have the following:
T < 90°F or T > 95°F.
Where
T = Temperature
Hence, the inequality is T < 90°F or T > 95°F.
Read more about inequality at
https://brainly.com/question/32124899
#SPJ1
If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually, how much in the account at 20 years?
Answer:
You would have saved up to $24,407 at the end of the 20 years
How does affordance contribute to motor development?
1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.
Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.
The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.
For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.
Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.
Learn more about Affordably:
brainly.com/question/28273462
#SPJ11
Find the value of x.
Answer:
x=1.9
Step-by-step explanation:
\(\frac{x}{4.6} =\frac{4.6}{11}\)
\(11x=21.16\)
\(X=1.9\)