The value of p for given inequality would be:
p is greater than or equal to negative twenty one halves
In this question, we have been given a statement for an inequality.
two thirds times p plus 10 is greater than or equal to 3
i.e., (2/3)p + 10 ≥ 3
We need to find the value of p
(2/3)p + 10 ≥ 3
(2/3)p + 10 -10 ≥ 3 - 10
(2/3)p ≥ -7
(2/3)p * (3/2) ≥ -7 (3/2)
p ≥ -21/2
This means, p is greater than or equal to negative twenty one halves
Therefore, the value of p for given inequality would be:
p is greater than or equal to negative twenty one halves
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List the first five multiples of 20. List the first five multiples of 30..
Answer:
First five multiples of 20 are: 20,40,60,80 and 100.
First five multiples of 30 are: 30,60,90,120, and 150.
Answer: for 20 it is 20,40,60,80,100
For 30 it is 30,60,90,120,150
Step-by-step explanation:
here’s another way you can multiply 20 and 30 by 1 and above hope this will help
Please help me! Thank you :)
The required measure of x and y for the concurrent triangle is 4 and 2 respectively.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
here,
Since the triangle is are concurrent triangle,
x + 4 = 4y - - - - (1)
x = y + 2 - - - - (2)
Solving the above system of the equation,
y + 2 + 4 = 4y
6 = 3y
y = 6 / 3
y = 2
Now put this y in equation 2
x = 2 + 2
x = 4
Thus, the required measure of x and y for the concurrent triangle is 4 and 2 respectively.
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Simplify and write an exponential form (2^3) (2^5•2^0x^5/ 3^2x^3y^4)
Answer:
8 · (32 · x^5 / 9 x^3 y^4)
use similar triangles to calculate the height h cm of triangale abe
The height of ∆EBA is 24cm in the given question where two triangles are similar.
What are similar triangles?Similar triangles are triangles that have the same shape but differ in size. Similar objects include all equilateral triangles and squares with any side length. In other words, if two triangles are similar, their corresponding angles and sides are congruent and in equal proportion. The " symbol here denotes the similarity of triangles.
We know that in two similar triangles, the ratio of corresponding sides are equal to ratio of their heights.
We have given that ∆DBC ≅ ∆EBA
So,
⇒ (36-h)/h = DC/AE
⇒ (36-h)/h = 10/20
Using cross multiplication
⇒ 20(36-h) = 10h
⇒ 720 - 20h = 10h
⇒ - 20h -10h = -720
⇒ -30h = -720
⇒ 30h = 720
⇒ h = 720/30
⇒ h = 24
Thus, the height of ∆EBA is 24cm in the given question where two triangles are similar.
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Full question
Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
С
В.
36 cm
E
20 cm
-6.235 as a mixed number
Answer:
-6 47/20
Step-by-step explanation:
What is the answer to this need a fast answer plssssssssssssssssssss
Answer:
-2
Step-by-step explanation:
hope this helps
Answer:
Slope = -2
Step-by-step explanation:
slope = (y2-y1) / (x2-x1)
choose 2 points
i choose (2, -1), and (5, -7)
slope = (-7 - (-1))/(5-2)
slope = (-6)/3
slope = -2
The perimeter of the rectangle below is 88 units. Find the length of side QR.
Write your answer without variables.
Answer: QR = 21 Units
P = 2(l) + 2(w)
[tex]88= 2(4z-1) + 2(3z+3)[/tex]
[tex]88 = 8z-2+6z+6[/tex]
[tex]88 +2-6= 8z+6z[/tex]
[tex]84=14z[/tex]
[tex]\frac{84}{14} =\frac{14z}{14}[/tex]
[tex]6 = z[/tex]
[tex]QR = 3z+3[/tex]
[tex]QR = 3(6) +3[/tex]
QR = 21 Units
Which polynomial function could be represented by the graph below?
-8-8-4
8
6
+
2
-6
do
2 4
Of(x) = x² + x - 2
Of(x) = 2x2 + 2x - 4
O f(x)=x²-x-2
Of(x) = 2x² -2x - 4
6
8 X
The equation of the polynomial function is y = x² + x - 2
How to determine the equation of the polynomial function?The polynomial function is represented on the given graph
From the graph, we can see that:
The curve of the graph crosses the x-axis at the following points
x = -2 and x = 1
This means that the equation of the polynomial function can be calculated as
y = (x - x₁) * (x - x₂)
Where
x₁ = -2 and x₂ = 1
Substitute x₁ = -2 and x₂ = 1 in the equation y = (x - x₁) * (x - x₂)
So, we have
y = (x + 2) * (x - 1)
Open the brackets
y = x² + 2x - x - 2
Evaluate
y = x² + x - 2
Hence, the equation is y = x² + x - 2
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b. Fred got a score of 84 on the test. Write a division sentence using negative numbers
where the quotient represents the number of questions Fred answered incorrectly.
Answer:
Step-by-step explanation:
What is the Product Rule of Exponents?When multiplying two numbers with the same base, their powers/exponents would be added.For example, .Given:(a²c)³Therefore:(a²c)³ = (a²c)(a²c)(a²c) (a²c)³ = (a²c)³ = Therefore, applying the product rule of exponents, (a²c)³ = .
The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 10 members, how many ways could the officers be chosen?
Answer:
210 ways
Step-by-step explanation:
This is a combinatorics problem of the general nature of choosing r elements from a sample of n elements
It is indicated by the term
[tex]C(n,r) = $\displaystyle \binom{n}{r} = \dfrac{n!}{( r! (n - r)! )$}\\\\[/tex]
where n! represents the factorial of n = n x (n-1) x (n-2) x .... 3 x 2 x 1
With n = 10, r = 3 there are C(10, 3) ways of choosing the officers
[tex]C(n,r) = C(10,4)\\\\= \dfrac{10!}{4! (10 - 4)! }\\\\\\[/tex]
[tex]= \dfrac{10!}{4! \times 6! }[/tex]
[tex]$\displaystyle = 210[/tex]
for a math assignment, jane has to roll a set of six standard dice and record the results of each trial. she wonders how many different outcomes are possible after rolling all six dice. what is the total number of possible outcomes for each trial?
Different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is equal to 6.
As given in the question,
For Math Assignment
The total set of standard dice = 6
After rolling each dice,
Possible outcomes after each trial = { 1,2,3,4,5,6 }
The total number of possible outcomes for each trial = 6
Different possible outcomes after rolling all six dice = 6 × 6
= 36
Therefore, different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is 6.
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For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.
a. The distance around a circular track.
b. The total number of equally-sized tiles on a circular floor.
c. The amount of oil it takes to cover the bottom of a frying pan.
d. The distance your car will go with one turn of the wheels
It is listed below whether area or circumference needs to be calculated.
What is circumference?
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles. The distance around a circle is its circumference, however this cannot be used as a definition if, as in many introductory presentations, distance is defined in terms of straight lines.
(a) Circumference needs to be calculated.
(b) Area needs to be calculated.
(c) Area needs to be calculated.
(d) Circumference needs to be calculated.
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Determine whether the polygons are similar. If so, identify the correct similarity ratio and the similarity statement.
The two polygons are calculated to be similar and the correct statement to show the similarity is in option A
How to show that the polygons are similar
To show that the polygons are similar we show that
The angles of the corresponding sides are equal The ratio of the sides chosen are equalComparing the angles
< P ≅ < C< G ≅ < H< A ≅ < J< R ≅ < KComparing the ratio of corresponding sides
10.5 / 7 = 12 / 8 = 6 / 4 = 9 / 6 = 3 / 2
This shows that option A is the correct choice
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Calculate the rise and run to find the slope of each line! Please help me!!!
The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run" (change in y divided by change in x).
slope of the line = -5/4.
How do you find a slope of a line?Choose two points on the line and calculate their coordinates. Determine the difference in y-coordinates between these two points (rise). Determine the difference in x-coordinates between these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run" (change in y divided by change in x).The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It is usually simple to graph a line using y=mx+b.The line pass through the points (-3, 2) and (1, -3)
The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁). Here, m = slope of the line
m = -3-2/1 +3 = -5/ 4
slope of the line = -5/4.
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Find the slope intercept form of 5x+20y=600
PLEASE SHOW ALL STEPS!!!!!!!
Answer:
[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]
[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]
[tex]\textsf{$y$-intercept}: \quad 30[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Given equation:
[tex]5x + 20y = 600[/tex]
To convert the given equation to slope-intercept form:
Subtract 5x from both sides.Divide both sides by 20.[tex]\boxed{\begin{array}{rccccccc}5x &+ & 20y & = & 600&&&\\-5x & & & && -5x &&\\\\\cline{1-8}\\& & \dfrac{20y}{20} & = & \dfrac{-5x}{20} & + & \dfrac{600}{20}\\\\&& y&=&-\dfrac{1}{4}x & + & 30\end{array}}[/tex]
[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]
[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]
[tex]\textsf{$y$-intercept}: \quad 30[/tex]
On a cold day, the temperature in a certain city changed −34.08°f over 4.8 hours. what was the average change in temperature per hour? enter your answer as a decimal. question 3 options: 7.1 -7.1 163.584 -163.584
The average change in temperature per hour is 7.1°.
Given, the temperature in a certain city changed to 34.084°F
over 4.8 hours.
the average change in temperature per hour = ?
average temperature = change in temperature/time taken.
= 34.08/4.8
= 71/10
= 7.1°f
the change in temperature is 7.1°f
Hence the change in temperature per hour is 7.1°f.
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Choose the brand of chips with the lowest price per ounce.Brand A 20 ounces for $2.50Brand B 32 ounces for $3.25 O Brand AO Brand BO Both brands have the same price per ounce.O Not enough information is given
Answer:
Brand B
Explanation:
The cost for each brand is given below:
• Brand A: 20 ounces for $2.50
,• Brand B: 32 ounces for $3.25
To determine the price per ounce for each brand, divide the cost by the number of ounces.
[tex]\begin{gathered} \text{Price Per Ounce for Brand A: }\frac{\$2.50}{20\text{ ounces}}=\$0.13\text{ per ounce} \\ \text{Price Per Ounce for Brand B: }\frac{\$3.25}{32\text{ ounces}}=\$0.10\text{ per ounce} \end{gathered}[/tex]This, we see that Brand B has the lowest price per ounce.
What is the image point of (-1,9) after the transformation R 270∘ ∘r y-axis?
The image point of the point (-1, 9) after the transformation R270° or y-axis as required in the task content is; (1, 9).
What is the image point of (-1,9) after the transformation R 270∘?It follows from the task content that the image of the point under the rotation transformation; R270° be determined.
Since the pre-image point (-1, 9) exists in the 2nd quadrant, it follows that the transformation; R270° indicates a reflection over the y-axis.
Hence, only the x-coordinate of the pre-image changes sign and therefore, the image is; (1,9).
Ultimately, the image point is; (1, 9).
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25x^2-4
factor completely
The factorization of the quadratic expression 25x² - 4 gives us (5x + 2)(5x - 2) where; x = -2/5 or 2/5
How to factorize a quadratic equation?We are given the quadratic equation as;
25x² - 4
Now, this quadratic equation can be written as;
25x² + 10x - 10x - 4
We can group this using algebra properties to get;
(25x² + 10x) - (10x + 4)
Collecting like terms gives us;
5x(5x + 2) - 2(5x + 2)
Thus, the factorization is;
(5x + 2)(5x - 2)
The values of x will be;
5x + 2 = 0
x = -2/5
Or 5x - 2 = 0
x = 2/5
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Write the greatest possible 3 digit number using 2 different numbers
Answer:
346,990
Step-by-step explanation:
How much would you pay for 2.5 kg of potatoes at $1.69/kg?
Answer:
2.5kg potatoes would approx. cost 4.23$
Step-by-step explanation:
cost of 1kg potato = 1.69$
Therefore, cost of 2kg of potato = 1.69X2
=3.38
cost of 0.5kg of potato = 1.69\2
= 0.85
Total cost of 2.5kg potato = 2kg + 0.5kg
= 3.38 + 0.85
= 4.23$
Answer:
$4.225
Step-by-step explanation:
2.5kg times per 1.60kg
2.5x1.6=4.225
.038 ÷.02 I need help to show the work for this problem.
Answer:
The answer would be 1.9
There really is no way to show the work on this problem since it is decimals
if the degree of he monimial is -xy^3m (where m is a constant) is 10, then the value of m is ______
The value of m that makes the expression a monomial is 10/3
How to determine the value of m?From the question, the given parameters are
Monomial: -xy^3m
Degree = 10
The degree of a polynomial is the highest power of the polynomial
This means that
Degree = 10
Degree = 3m
Substitute the known values in the above equation
So, we have
3m = 10
Divide both sides of the equation by 3
m = 10/3
Hence, the value of m is 10/3
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Isabela has already taken 16 quizzes during past quarters, and she expects to have 1 quiz during each week of this quarter. How many weeks of school will Isabella have to attend this quarter before she will have taken a total of 26 quizzes?
Data:
Quiz taken: 16
Quiz each week: 1
You can express this as a equation:
Q= Total of quizes taken
W= weeks
As each week the number of quizes Q increase in 1 the change is k=1, and Isabela has already taken 16 quizzes. The number of quizzes can be represented as:
[tex]Q=Q_0+kW[/tex]Q0 is the number of quizzes Isabela has already taken.
[tex]Q=16+W[/tex]Then, to have a total of 26 quizzes Isabela have to attend:
Q=26
W=?
[tex]26=16+W[/tex]You can find the number of weeks by clearing of the equation above the W:
Substract in both sides of the equation 16:
[tex]26-16=16-16+W[/tex][tex]10=W[/tex]Then, Isabela have to attend 10weeks this quarter to have a total of 26 quizzesDetermine the x- and y-intercepts of the graph of x + 3y = 9.
Then plot the intercepts to graph the equation.
Line
please help me with this.
The equation for g(x) = -(x + 1)² - 4.
Where f(x) = x².
Solution:
The given parent function is ,
f(x)= x²
Begin by solving the equation f(x) = x². Write the equation for the g(x) graph that has been flipped or reflected over the x-axis.f1(x) = -f(x)
So,
f1(x) = -x²
Apply the equation and create an equation for the graph of g(x).It has also been moved down 4 units.
f2(x) = f1(x) -4
f2(x) = -x² - 4
Apply the equation from above step. Create an equation for the graph of g(x).1 unit has also been shifted to the left.
g(x) = f2( x + 1)
g(x) = -(x + 1)² - 4
As a result, the required equation is.
g(x) = -(x + 1)² - 4.
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The width of a rectangle is 7t-7.5 feet and the length is 7.5t+10 feet. Find the perimeter of the rectangle.
The perimeter of the rectangle is 29t + 5
Define Perimeter.
A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
Given,
width = 7t - 7.5
length = 7.5t + 10
we know, the perimeter of the rectangle (p) = 2 ( l + w)
put the value in given formula,
p = 2 * (7.5t + 10 + 7t - 7.5)
p = 2 * ( 14.5t + 2.5)
p = 2 * 14.5t + 2.5 * 2
p = 29t + 5
Hence, the perimeter of the rectangle is 29t + 5
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When subtracting 538 - 446, why is there no digit in the hundreds place?
Answer:82
Step-by-step explanation:
Because you need to regroup the numbers, therefore leaving 4-4, which is just a 0, (don't include the 0 in a number).
Write each fraction as a decimal 3\5
Answer:
0.6
Step-by-step explanation:
3/5 as a decimal is 0.6; divide the numerator by the denominator. :)
A 2-column table with 8 rows. The first column is labeled x with entries negative 6, negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 34, 3, negative 10, negative 11, negative 6, negative 1, negative 2, negative 15.
Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing?
(–6, –3)
(–3, –1)
(–3, 0)
(–6, –5)
(–6, –3)
(–3, –1)
(–3, 0)
(–6, –5)
The function is increasing over the interval (-3,-1).
A table with x and f(x) values are given as:
x f(x)
-6 34
-5 3
-4 -10
-3 -11
-2 -6
-1 -1
0 -2
1 -15
We have to check whether this function is increasing or not in the intervals (–6, –3), (–3, –1), (–3, 0), (–6, –5).
A function is said to be increasing over an interval (x, y), if for x < y, it follows that f(x) < f(y).
Consider the intervals one-by-one.
For (-6, -3), we have the function values in between which are 34 > 3 > -10 > -11. So in this interval the function is not increasing but decreasing over the x-values in (-6, -3).
For (-3, -1), the corresponding function values are -11 < -6 < -1. Here the function values are increasing over the x-values in the interval (-3, -1).
For (-3,0), the corresponding function values are -11 < -6 < -1 >-2. Since we got -1 > -2 in the interval (-3,0), the function is not increasing here also.
For (-6,-5), the corresponding function values are 34 > 3. So the function is not increasing but decreasing.
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