On solving the provided question we cans ay that - here in linear equation, y = 3 and x = -1/2
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
y = 2x + 1 - linear equation.
value of y;
[tex]x = 0\\y = 2(0) + 1\\y = 2 + 1\\y = 3[/tex]
value of x;
[tex]y = 0\\0 = 2x + 1\\2x = -1\\x = -1/2[/tex]
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Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the oak tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
A line passes through the point (4,-7) and has a slope of -1/2.
Click “show your work” below and show work to write the equation of the line in point-slope form.
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
Slope "m"
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~
( 4 , - 7 )
m = [tex]-\frac{1}{2}[/tex]
y - ( - 7 ) = [tex]-\frac{1}{2}[/tex] ( x - 4 )
y + 7 = [tex]-\frac{1}{2}[/tex] ( x - 4 )
Please need help ASAP, 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!
Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed.
(1). ΔIJH ≅ ΔKHJ, by SSS criterion,
and (2) we need, ΔTNS and ΔUHS are right-triangles and S is the mid-point to prove ΔTNS ≅ ΔUHS, by HL criterion.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
We have the triangle:
ΔIJH ≅ ΔKHJ.
To prove the congruent by SSS:
We have to show that three sides of the triangle are congruent to three sides of the other triangle.
Here,
IJ ≅ KH.
IH ≅ JH, Given.
And both triangles share the same side JH.
So,
JH ≅ JH
So, ΔIJH ≅ ΔKHJ, by SSS criterion.
ΔTNS ≅ ΔUHS.
To prove the congruent by HL:
We have to show that the triangles are right-triangle and one leg and hypotenuse of the triangle is congruent to one leg and hypotenuse of the other triangle.
So, we need;
ΔTNS and ΔUHS are right-triangles.
S is the mid-point.
So,
SN ≅ SH.
ST ≅ US
So, ΔTNS ≅ ΔUHS, by HL criterion.
Therefore, ΔIJH ≅ ΔKHJ, by SSS criterion and we need;
ΔTNS and ΔUHS are right-triangles and S is the mid-point.
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Corin measures the apparent height of a tower 800 feet away by holding a ruler in front
of her eye and observing that the tower appears to be 9 inches tall. The apparent height h
(in inches) varies inversely with Corin's distance d (in feet) from the tower. Write an
equation that gives d as a function of h. How tall would the apparent height of the tower
be if she was standing 2000 feet away from the tower? Show your work.
Answer:
Since the apparent height h of the tower varies inversely with Corin's distance d from the tower, we know that h and d are inversely proportional. This means that the product of h and d is constant. We can write this relationship as:
hd = k
where k is a constant.
We can find the value of k by substituting the known values of h and d:
9 inches * 800 feet = k
Solving for k, we find that k = 7200 inches * feet.
Since h and d are inversely proportional, we can write the inverse relationship as:
d = k / h
Substituting the value of k that we found earlier, we have:
d = 7200 inches * feet / h
To find the apparent height of the tower if Corin is standing 2000 feet away, we can substitute 2000 for d in the equation above:
h = 7200 inches * feet / 2000 feet = 3.6 inches
Therefore, the apparent height of the tower would be 3.6 inches if Corin is standing 2000 feet away.
Step-by-step explanation:
Evaluate the following expression when c = -3 and d= 2: 6/d -10c - c to the fourth power
The value of the fourth power of the expression is 1679616.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression: 6/d -10c - c, where c = -3 and d= 2
Solving the expression, we get,
6/2-10(-3)-(-3)
= 3+30+3
= 36
We are asked to find the fourth value of 36,
(36)⁴ = 36 × 36 × 36 × 36 = 1679616
Hence, the value of the expression is 1679616.
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P(-3,6) y el intercepto =-10, encontrar la pendiente
The slope of the line, given the point on the line and the y - intercept, is - 5. 33
How o find the slope ?The slope of a line tells us the relationship between the dependent variable and the independent variable. In other words, it tells us what a change in the independent variable leads to in the dependent variable.
The slope can be found in the slope - intercept formula form of :
y = mx + b
m is the slope
b is the y - intercept
We have the y - intercept and a y and x value in ( -3, 6 ) so the slope is:
6 = - 3 ( m ) + ( - 10 )
6 = - 3m - 10
- 3m = 6 + 10
- 3 m = 16
m = 16 / - 3
m = - 5. 33
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One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
Answer:
Cost = 12696
Step-by-step explanation:
One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
find the area and multiply by 1.50
Square area = l²
Square area = 92²
Square area = 8466 m²
Cost = Area × rate of 1.50 per sq.m
Cost = 8466 × 1.50
Cost = 12696
nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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In triangle ABC, the measurement of angle A is is greater then the measurement of angle C, then BC> AC is this conditional true? If so, why?
Using the law of sines, it cannot be affirmed whether the conditional is true or false, as we have no information about the measure of angle B.
What is the law of sines?We suppose a general triangle, for which:
Side with a length of a is opposite to angle of measure A.Side with a length of b is opposite to angle of measure B.Side with a length of c is opposite to angle of measure C.The lengths and the sine of the angles are proportionally related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
The segments in this problem are given as follows:
BC opposite to angle A.AB opposite to angle C.Hence it can be affirmed that:
BC > AB.
As the measure of angle A is greater than the measure of angle C, hence sin(A) > sin(C) and BC > AB, using the proportional relationship.
As for segment AC, we need the measure of angle B, hence nothing can be affirmed.
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Find the sum and express it in simplest form.
(7t³ + 3t - 1) + (-9t³ + 2t)
DO
Enter the correct answer.
Answer:
-2[tex]t^{3}[/tex] + 5t - 1
Step-by-step explanation:
(7[tex]t^{3}[/tex] + 3t - 1) + (-9[tex]t^{3}[/tex] + 2t)
7[tex]t^{3}[/tex] - 9[tex]t^{3}[/tex] + 3t + 2t - 1 Combine like terms
-2[tex]t^{3}[/tex] + 5t - 1
Like terms have to have the same variable and the same exponents to be like terms.
Finding a Mistake in a Subtraction Problem
Jordan wants to solve the problem: 453-254 = ?
He begins by making an estimate.
450-250 = 200
Estimate:.
Then he uses expand-and-trade subtraction to find an exact answer, but his answer is not
close to his estimate. This is his work.
"Oops," says Jordan, "I didn't cross out 400 and write 300."
Explain why not changing 400 to 30 is a mistake.
Hint: Use what you know about place value in your answer.)
Using the expand and trade subtraction the mistake Jordan made was not crossing 400 to 300
1 is carried form 4 to 5 then to 3 to get 13
How to do the subtraction in a correct way
The expanded form of subtraction makes is easier to conceptualize the subtraction, however it has some techniques that should be in mind in other to handle the techniques correctly
The numbers used in the subtraction is examined
453 and 254
the ones have it that 3 in "453" is less than 4 in "254" and hence will require 1 form 5.
When this happens, in the tens, 5 in "453" will turn to 4 and will be less than the 5 in "254" and will requires 1 from 4 in "453" in hundreds
At this point 4 in "453" is in hundreds and will turn to 300
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The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular vinegar if the pH level is 2.5. (5 points)
3.979 x 10–1
9.536 x 103
3.162 x 102
3.162 x 10–3
The value of hydronium ion concentration in the vinegar is 3.162×10^-3 (optionD)
What is pH?pH is defined as the negative log of the hydrogen ion concentration. The range of pH extends from zero to 14. A pH value of 7 is neutral, because pure water has a pH value of exactly 7.
pH can also be defined as the measure of acidity and alkalinity of a substance.
pH = –log(H+)
Therefore (H+) = 10^-(pH)
For a pH of 2.5, the hydronium ion concentration
= 10^-2.5
(H+) = 0.003162 = 3.162×10^-3
Therefore hydronium ion concentration of the vinegar is 3.162×10^-3
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When you sign up for dance class you have a startup fee of $75 and then a monthly fee of $54.
The dance company uses the expression 75 + 54m to find out how much it will cost to attend classes.
How much would it cost to take classes for 10 month?
Work Shown:
75+54m
75+54*10
75+540
615
#2 Lauren draws a still life picture of a vase of flowers using a scale where 1 inch= 3 inches. In her drawing, the vase is 6.75 inches tall. What is the actual height?
Answer:
20.25
Step-by-step explanation:
6.75 times by 3 is 20.25
Alana and Petra go to a used book sale , where every book is the same price. Alana buys 4 books and Petra buys 2 books. They run into their friend angus, who really loves to read, and discover that he has bought 16 books. Angus received a $15 discount, but he still spent $5 more than Alana and Petra combined. How much does one book cost?
Answer:
$2
Step-by-step explanation:
$34,100 at 4% for 3 years
Simple interest
The 3 year simple interest at 4% will be $38,192.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
The principal amount = $34,100
Interest rate = 4%
Time = 3 years Now,
Since, We know that;
Where, A is final amount.
P is principal amount.
r is interest rate.
t is time.
Substitute all the values, we get;
A = $34,100 (1 + 4/100)³
A = $34,000 (104/100)³
A = $34,000 × 104/100 × 104/100 × 104/100
A = $38,192
Thus, The Simple interest will be $38,192.
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-50 POINTS- cmon alr
Answer:
10
Step-by-step explanation:
[tex] \sqrt{26 {}^{2} - 24 {}^{2} }[/tex]
[tex] = \sqrt{676 - 576} [/tex]
[tex] = \sqrt{100} [/tex]
[tex] = 10[/tex]
Answer: 10
Step-by-step explanation: You can use the Pythagorean theorem which is a^2+b^2=c^2. Plug in the numbers that you already have and square them to find the answer, which is 10. Hope this helps! If you need more of an explanation pls let me know ;)
What is the ratio of 4 red pens to 7 black pens
Answer:
There could be 12 red pens and 21 black pens
Step-by-step explanation:
Find the volume of a cone with a base radius of 3in and a height of 11in. Use the value 3.14 for π, and do not do anu rounding. Be Sure to include the correct unit in your answer.
So the formula to find the volume of a cone is,
[tex]V = \pi r^{2} \frac{h}{3}[/tex]
Given,
Base of the cone is 3 inchesHeight of the cone is given as 11 inchesTo Find : The Volume of the cone
Applying the values we get,
[tex]V = 3.14X(3)^{2} X \frac{11}{3}[/tex]
[tex]V = 28.26X\frac{11}{3}[/tex]
[tex]V = 103.62in^{3}[/tex]
Hence , the volume of the cone is 103.62in³
40% of an hour is what
Answer:
24 minutes
Step-by-step explanation:
100% = 60 minutes is 100%
So that means that 40% = 24 minutes.
please tell me how to solve!!
the equation in the form of slope interpretation is y = 1/3x -4.
What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.
Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c
Where m is the slope
c is constant
The slope for the given data
m = (y₂ - y₁) / (x₂ - x₁)
m = (-5 + 6 )/ (-3 + 6)
m = 1/3
Hence, the equation would be
y = 1/3x + c
for constant we would satisfy the equation with other coordinates of the line.
Substituting ( 0, -4) in the above equation
-4 = 0 + c
c = -4
thus, the equation of the line is y = 1/3x -4
therefore, the linear equation of the given data is y = 1/3x -4.
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3) Mr. Johnson uses 2.34 yards of yarn to knit a scarf. If Mr. Johnson has a total of 30.42 yards of yarn, how many scarfs will he be able to knit?
she will be able to knit 13 scarfs
Given ,
Mr. Johnson uses 2.34 yards of yarn to knit a scarfMr. Johnson has a total of 30.42 yards of yarnTo Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn
2.34 yards of yarn = 1 scarf
30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]
= 13 scarfs
Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13
i feel like im doing something wrong here it's in order of operation
(3+5)5-20(2+5) when i put it in a calculator it says the answer is 27 but when i work out the problem out i get out 0
We will solve the expression:
(3 + 5)*5 - 20*(2 + 5)
Step by step, and we will get the solution -100.
How to solve the expression?Here we want to solve the following expression:
(3 + 5)*5 - 20*(2 + 5)
The first thing that you need to solve when working in these type of problems, are the operations inside the parenthesis, then we will get:
(3 + 5)*5 - 20*(2 + 5) = (8)*5 - 20*(7)
Now we need to solve the two products, we will get:
(8)*5 - 20*(7) = 40 - 140 = -100
Thus, the solution of that expression is -100.
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Anyone read tgcf/heaven officials blessing??
Which equation correctly solves the formula of r? 4πr^2h
The equation that correctly solves the formula of r is r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
How can the value of r be computed?The concept here is the concept of subject of the formula.
The variable being calculated is the formula's subject. On one side of the equals sign, it is identifiable as the letter on its own. For instance, the subject of the formula for the area of a rectangle is A = b h (area = base height).
The formula given was A=4πr^2h, then we can r the subject of the formula as
r^2 = A /4π
Then r = [tex]\sqrt{\frac{ A }{4\pi } }[/tex]
Therefore, option B iscorrect.
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missing options:
A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π
help ME PLEASE ASAP DUE NOW
Step-by-step explanation:
{x : x < 100}
means all numbers smaller than 100. but that includes all negative numbers. so, NO.
{y|y > -0.1}
while this includes all positive numbers, it also includes all numbers between -0.1 and 0. e.g. -0.001
so, NO
{x|x in N}
N is the set of all natural numbers. that is the set of all positive integers.
so, YES
{y : 0 < y < 1}
that is all numbers between 0 and 1. that's are only positive numbers between 0 and 1.
so, YES
{x|x in Z}
Z is the set of all integer numbers (including the negative ones). so, NO
{y : 3 <= y < 22}
ask numbers between 3 and 22, including 3. there are only positive numbers, as there cannot be suddenly a negative number between 2 positive numbers.
so, YES.
If a copy machine can copy 34 sheets of paper in one minute. How many sheets can it copy in 2 hours?
Answer:
Step-by-step explanation:
34x60
60 minutes in a hour
34x60=204
204+204= 408
408 copies in 2 hours
Answer:
4080
Step-by-step explanation:
First you would multiply 34 by 120. After you multiply those numbers you should get 4080 as your answer.
y≥ −4x+10
Hello, I’m having trouble the the following question above. Can you help me please?
The question asks to name the A and B points
A: ( , )
B: ( , )
I'm assuming x and y intercepts which would be (2.5,0) and (0,10)
1. Simplify and show your work.
3(2x^3y^5)^3
——————— or /
(2x^6y^3)^4
On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
So, the equation is
[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]
and x=y=1
so, 648/1296 = 0.5
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Which graph represents a function?
P