Answer:
The ordered pair (3, 4) is found in the coordinate system when you move 3 steps to the right on the x-axis and 4 steps upwards on the y-axis.
Step-by-step explanation:
hope this helped:)
brainliest for the brains:)
The red strip will be cut into
pieces that are 1/2 foot long. How many pieces will there be?
15 pieces will there be.
How many pieces will there be?.5 is the same as 1/2, while 7.5 is the same as 7 1/2. To determine how many strips may be cut, use the following expression:
.5x = 7.5
This is due to the fact that the ribbon length that has to be cut is .5 feet, and we are attempting to determine how many pieces of that length might be cut from a roll of ribbon that is 7.5 feet long.
Divide both sides by 2.5 to separate the variable, and that's all there is to it.
7.5/.5 is 15.
x = 15.
Eli is able to slice a ribbon into three pieces that are each .5 feet long.
The complete question is: The red strips that are 1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression could be one of the steps in determining how many strips can be cut?
To learn more about length refer to:
https://brainly.com/question/7221283
#SPJ1
A researcher in physiology has decided that a good mathematical model for the number of impulses fired after a nerve has been stimulated is given by y=x^2+50x-80, where y is the number of responses per millisecond and x is the number of milliseconds since the nerve was stimulated.
(a)
When will the maximum firing rate be reached?
(b)
What is the maximum firing rate?
The maximum firing rate will be reached after 25 milliseconds and the maximum firing rate is 545 responses per millisecond
How to determine when the maximum firing rate will be reached?From the question, we have the following parameters that can be used in our computation:
y = -x^2 + 50x - 80
Rewrite this function as
y = -x² + 50x - 80
Differentiate the function
So, we have
y = -2x + 50
Set to 0
-2x + 50 = 0
So, we have
2x = 50
Divide by 2
x = 25
How to determine what the maximum firing rate is?Recall that
y = -x² + 50x - 80
Also, we have
x = 25
So, we have
y = -(25)² + 50 x 25 - 80
Evaluate
y = 545
Hence, the maximum is 545 responses per millisecond
Read more about maximum functions at
https://brainly.com/question/25037584
#SPJ1
Find the inequality represented by the graph.
Inequality:
y > 1/3x - 3
which expression is equivalent to 9^-4?
A. -9^4
B. 9^4
C. 1/9^-4
D. 1/9^4
Answer:
D
Step-by-step explanation:
as a negative exponent always means 1/..., D is the correct answer.
9^-4 = 1/(9^4)
that is the precise definition of a negative exponent.
what will be the possible solution of condition that" if the rank of matrix A is less than the rank of its augmented matrix?"
The possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix, the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.
What is matrix?A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that are used to represent a mathematical object or an attribute of one.
Since the pivot b must, of course, not be zero, every row entry to the left of the pivot is zero by nature of the row-reduction procedure, which results in a row of the type,
[tex]\left[\begin{array}{ccc}0&0&.......0\ |\ b\end{array}\right][/tex] where b ≠ 0
Therefore, the possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.
To know more about matrix:
https://brainly.com/question/4030813
#SPJ1
2. What is the measure of one interior angle of a regular Decagon?
O144
O 180
O216
O 160
Answer:
the correct answer is 144
Step-by-step explanation:
Hence, the measure of each interior angle is 144∘.
hope this helps
Answer:
Step-by-step explanation:
each exterior angle=360/n=360/10=36°
each interior angle=180-36=144°
You lend out S5500 at 10% compounded monthly. If the debt is repaid in 18 months, what is the total owed at the time of repayment?
Answer:
Step-by-step explanation:
Answer:
$6386.1140
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n) ^nt
P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,
Compounding times per period = 12 (monthly)
What is the common monomial factor of the expression 16m^2n^2 − 12mn^5?
Answer:
[tex]4mn^{2}[/tex] is their common factor.
Step-by-step explanation:
It is the common factor of both as it is a number they are both easily divisible by.
Answer:
4mn^2
Step-by-step explanation:
You want the common factor of the terms in 16m^2n^2 -12mn^5.
FactorsThe terms can be factored as ...
16m^2n^2 = (4)(4)(m)(m)(n^2)
-12 mn^5 = (-3)(4)(m)(n^2)(n^3)
The factors that are in both lists are ...
(4)(m)(n^2)
The common monomial factor of the expression is 4mn^2.
__
Additional comment
Factoring out that common factor gives ...
= 4mn^2(4m -3n^3)
Question 6
Drew works for a retail store marking items for sale. The selling price he lists includes the store's cost for the item and which of the following?
Answer:
I'm not sure exactly me myself
look at circle m
what is the value of x
The answer to this Question based on circles is 9
What is circle?
A circle is a two-dimensional geometric shape defined by a set of points equidistant from its center. It is the set of all points in a plane that are the same distance from a given point, called the center. A circle is a special type of ellipse, and all circles are similar. It is one of the most fundamental shapes in geometry, and is used in art, architecture, engineering, and many other disciplines. The circumference of a circle is the length of its perimeter, which is determined by its radius. A circle's area is the space enclosed by its circumference, and is equal to the value of pi multiplied by the square of the radius.
In the given Circle
Lets us denotes the 2 chords by AB and CD and let their intersecting point be E
Then from property of intersecting chords in circle we can write
(AE)(BE) = (CE)(DE)
4x = 36
x = 9
Hence proved
To learn more about Circles:
https://brainly.com/question/11833983
#SPJ1
Find the value of each variable.
Answer:
Step-by-step explanation:
The sum of exterior angles in a quadrilateral is always 360 degrees.
So, 2x+x+4x+3x=10x=360
Soling for x, we get x=36 degrees.
If
Draw the missing shape. Then explain how you know your answer is correct.
If Trapezoid + circle = triangle
Then triangle - trapezoid = circle
For the given expression on shapes, if Trapezoid and circle together make a circle , than the difference of triangle and trapezoid equals to a circle.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is that -
Trapezoid + circle = triangle
Triangle - trapezoid = circle
We can write -
t + c = T ..... Eq[1]
T - t = c ...... Eq[2]
We can write -
Eq [2] as-
T = c + t
Then, equation [1] will be -
t + c = c + t
The statements : if trapezoid + circle = triangle, then triangle - trapezoid = circle is proved to be true.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units.
What is the height of the prism?
Answer:
12 units
Step-by-step explanation:
V = (area of base) × height
height = V/(area of base)
height = 960 units³ / 80 units²
height = 12 units
The percent error of a measurement tells how close the measurement is to the actual value. The label on a mineral sample kit gave the weight of the sample as 60.5 ounces. The true weight was found to be 62.5 ounces. To find the percent error, first find the absolute value of the difference between the weight on the label and the true weight.
The percentage error when the weight was found to be 62.5 ounces is 3.2%.
What is the percentage error?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Since the the weight of the sample as 60.5 ounces and the true weight was found to be 62.5 ounces.
The percentage error will be:
Error / Initial value × 100
= (62.5 - 60.5) / 62.5 × 100
= 2 / 62.5 × 100
= 3.2%
The percentage error is 3.2%.
Learn more about percentages on;
brainly.com/question/24877689
#SPJ1
Question 11 of 25 Imagine that you are given two linear equations in slope-intercept form. You notice that the slopes are different, but the y-intercepts are the same. How many solutions would you expect for this system of equations? O A. infinitely many O B. cannot be determined C. 0 D. 1 SUBMIT
Answer:
D. 1 solution-----------------------------
If the two lines have same y-intercept then this is the point of intersection of the two lines.
Since the slopes are different, the y-intercept is the only point of intersection. So there is one solution.
Correct choice is D.
An athlete eats 0.35 of protein per week while training. How much protein will she eat during 6 weeks of training?
Answer: 0.35
Step-by-step explanation:
Times 7 = 2. 45kg
Find the value of x in the triangle.
Answer:
Step-by-step explanation:
180 = x + 50 +50
180 = x + 100
x + 100 = 180
x = 80
80 is the value of x.
Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines. y = x y = 0 x = 6 (a) X-axis (b) y-axis (c) x = 6 (d) x = 9 Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines. y = 3x2 y = 0 x = 3 (a) y-axis (b) x-axis (c) y = 27 (d) X = 3 Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines. y = x2 y = 6x - x2 (a) x-axis (b) y = 10
Using rule of volume integral , The answer of y=x, y-=0 and x=6 is [tex]216 \pi[/tex].
What do you mean by integration?The process of combining smaller parts into a single, cohesive whole is known as integration.
What do you mean by volume integral?A volume integral is a specific instance of multiple integrals and is used to denote an integral across a 3-dimensional domain in mathematics, notably multivariable calculus. In physics, volume integrals are crucial for many applications, such as calculating flux densities.
area covered by y=x y=0 and x=6 is [tex]\frac {1}{2} * 6 * 6[/tex]
=18 [tex]unit^{2}[/tex]
Perimeter covered by revolving the area about x-axis, y-axis , x=6 and x=9 is [tex]2*\pi *6[/tex]
=[tex]12 \pi[/tex]
Volume = [tex]18 * 12 \pi[/tex]
=[tex]216 \pi unit ^{3}[/tex]
To learn more about integration visit:
https://brainly.com/question/18125359
A right triangle has a leg of 5 feet and a hypotenuse of 8 feet. What is the length of the other leg? Round answer to the nearest tenth place. Question 12 options: 2.6 6.2 4.5 5.4
Answer:
6.2 ft
Step-by-step explanation:
a² + b² = c²
a² + 5² = 8²
a² = 64 - 25
a² = 39
a = √39
a = 6.2
Answer: 6.2 ft
Suppose you purchased an annuity for $12,083 offering annual income of $1,193 based on a 6.1% interest rate. For how many years would the annuity provide you with payments? Your answer should be expressed in years rounded to the 2nd place to the right of the decimal point
For 10.75 years I'll receive an amount of $1,193 for an annuity of $12,083.
What is simple interest?Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
A principle of $12,083 with 6.1% interest rate becomes $(12,083×1.061)
= $12,820.063.
∴ The no. of years the annuity provides you with payments of $1,193 is
= (12,820.063/1193).
= 10.75 years Or 10 years 9 months.
learn more about simple interests here :
https://brainly.com/question/11564235
#SPJ1
Monty invested $8600 in a savings account with a yearly interest rate of 5% for 12 years. How much sinple interest did he earn.
Answer:
$5160
Step-by-step explanation:
Each year, he earns 5% of 8600 = 0.05 * 8600 = $430
After 12 years, she will earn 12 * 430 = $5160 in interest
Michael just retired, and has $740,000 to invest. A very safe Certificate of Deposit (CD) account pays 1.5%, while a riskier bond fund pays 8.5% in interest. Michael figures he needs $22,000 a year in interest to live on. How much should he invest in each account to make enough interest while minimizing his risk?
$ __ at 1.5%
$ __ at 8.5% (Round answers to the nearest dollar.)
The amount invested in the account that pays 1.5% interest is $584,285.71.
The amount invested in the account that pays 8.5% interest is $155,714.29.
How much was invested in each account?The system of equations that represent the information in the question is:
x + y = 740,000 equation 1
0.015x + 0.085y = 22,000 equation 2
Where:
x = amount invested in the certificate of deposity = amount invested in the bondIn order to determine the values, the elimination method would be used.
Multiply equation 1 by 0.015
0.015x + 0.015y = 11,100 equation 3
Subtract equation 3 from equation 2
0.070y = 10,900
Divide both sides of the equation by 0.070
y = 10,900 / 0.07
y = 155,714.29
Subtract 155,714.29 from $740,000
x = 740,000 - 155,714.29
x = 584,285.71
To learn more about system of equations, please check: https://brainly.com/question/25875552
#SPJ1
View in which one or more faces of the object are not perpendicular to the rest of the faces, so their projection planes are not parallel but inclined.
We can say that the view in which one or more faces of the object are not perpendicular to the rest of the faces, but are inclined projections, are the auxiliary views.
¿What are auxiliary views?Initially, we must know that the views of an object or body are orthogonal projections associated with it.
In this sense, auxiliary views are a type of view that are characterized by arising from a change in projection plane, they are usually used when highly complex parts or objects must be represented.
¡Hope this helped!
It is estimated that a driver takes, on average, 1.5 seconds from seeing an obstacle to reacting by applying the brake or swerving.
How far will a car, traveling at 65 miles per hour, travel in feet before the driver reacts to an obstacle? Round answer to the ones place.
HELP DUE TONIGHT
Answer: We know that 60 mph = 88 feet per sec (this can be shown easily enough).
Then we have a proportion:
60%2F88+=+85%2Fx
and we cross-multiply to get
60x = 7480
x = 124.7 feet per sec
Now multiply that by 1.5 sec and get
187 feet
(This is not realistic...the average alert driver reacts in about 0.15 seconds, not 1.5)
So answer 187 feet
Step-by-step explanation:
what is the best name for this shape? use the drop-down menus to explain your answer
We can say that the given Quadrilateral is Parallelogram
What is Parallelogram?
A parallelogram is a quadrilateral with two parallel sides (and therefore opposite angles equal). A rhombus is a quadrilateral with equal sides, while a rectangle is a parallelogram with all right angles.
Solution:
Since, the given Quadrilateral has all the opposite angles equal
and we do not know weather the opposite sides are equal or not it is closest to assume that the given Quadrilateral is Parallelogram
To learn more ab out Parallelogram from the given link
https://brainly.com/question/970600
#SPJ1
Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y -intercept to the nearest integer.
A table listing pairs of x and y values.
X values: 0, 1, 2, 3, 4, 5, 6, 7.
Y values: -8, -5, -2, -1, -1, 2, 5, 8.
The equation of the line in slope-intercept form is y = 3x - 11.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
∴ Slope(m) = (- 5 + 8)/(1 - 0) = 3.
So, y = mx + b can be written as - 5 = 3(2) + b ⇒ b = - 11.
So, The required line is y = 3x - 11.
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ1
Write the equation of the line described below in slope-intercept form.
Find the equation of the line that is perpendicular to the line y=2 x and passes through the point (10,2).
Equation of the line passes through (10,2) and is perpendicular to the line y = 2x is given by y = -x / 2 + 7.
As given in the question,
Given equation of the line :
y = 2x
Line passes through the point (x₁ , y₁ ) = (10, 2)
Standard form of slope intercept form
y = mx + c
'm' is the slope
slope of the given line 'm₁' = 2
let 'm₂' be the slope of the required line
Multiplication of the Slope of two perpendicular lines is given by :
m₁ × m₂ = -1
⇒2 × m₂ = -1
⇒m₂ = -1/2
Equation of the line perpendicular to the given line and passes through
(x₁ , y₁ ) = (10, 2)
y - y₁ = m₂ ( x - x₁ )
⇒ y - 2 = (-1/2) ( x - 10 )
⇒ y = -x / 2 + 7
Therefore, the required equation of the line in slope intercept form is given by y = -x / 2 + 7 .
Learn more about equation here
brainly.com/question/29657983
#SPJ4
What expression is equivalent to 5(x+3)
Answer:
5x + 15
Step-by-step explanation:
5(x + 3) ← multiply each term in the parenthesis by 5
= 5x + 15
"5x+15" is an expression equivalent to "5(x+3)".
Step-by-step explanation:If we expand this factorization, the resulting expression is equivalent to the original expression. This is how you expand it:
1. Write the expression.[tex]5(x+3)[/tex]
2. Apply the distributive property of multiplication.Check the attached image.
[tex](5)(x)+(5)(3)=\\ \\5x+15[/tex]
3. Conclude.
5x+15 is an expression equivalent to 5(x+3).
various studies state that, worldwide, 1% of persons suffer from autism. you believe that this number should be higher. you take an srs of 500 people and find that 8 people have autism. test your claim with 5% significance. Determinan your rejection region.
Out of 500 people, 8 have autism, according to the SRS. The rejection zone is revealed to be at significance() = 5%, or 0.05. This figure need to be higher.
What is autism spectrum ?
Eight people with autism are found out of 500 people in an SRS. Autism, often known as autism spectrum disorder, refers to a wide range of diseases that affect how the brain develops. Therefore, there is a critical need for research on treatment plans that guarantee the best possible outcomes for kids with ASDs. According to several research, autism affects 1% of people globally. You think this number ought to be greater. Using a sample size of 500 persons, you discover 8 cases of autism. 5% significance test for the assertion.
To learn more about Autism from given link
brainly.com/question/29579461
#SPJ4
If y varies directly as xand z, and y=4 when x=6 and z=1, find y when x=7 and z=4
If y varies directly as x and z, and y=4 when x=6 and z=1, then value of y will be 56/3 when x=7 and z=4.
Define direct proportionality.One kind of proportionality relationship is the direct proportion. When two values are in direct proportion, one value rises when the other rises and vice versa when one value falls. A proportionate relationship is represented by the symbol. When one of the variables is a multiple of the other, there is a direct proportion between the two. For instance, 1 cm equals 10 mm. The multiplier for converting cm to mm is always 10. Petrol prices and foreign exchange rates are determined using a direct proportion.
Given,
We know that y fluctuates in direct proportion to x and z.
We are aware that the form of the equation y = kx for two quantities that are directly proportional is, where k is the proportionality constant.
Because y directly varies as x and z, our equation would be y = kxz
Additionally, it is stated that and y = 4, x = 6 and z = 1. Let's define the proportionality constant as follows:
4 = k × 6 × 1
4 = k ×6
k = 2/3
y = 2/3 × x ×z
Substituting value of x by k = 2/3 , x = 7 and z = 4
y = 2/3 × 7 × 4
y = 56/3
If y varies directly as x and z, and y=4 when x=6 and z=1, then value of y will be 56/3 when x=7 and z=4.
To learn more about direct proportionality, visit:
https://brainly.com/question/11449153
#SPJ1