Answer:
the first one is 5 times 5 times 5
the second is 7 times 7
the third is 2 times 2 times 2
Step-by-step explanation:
5x5x57x72x2x2Choose the function that shows the correct transformation of the quadratic function shifted elght units to the right and
one unit down.
f(x) = ( x - 3)^2+1
f(x) = ( x - 8)^2 - 1
f(x) = ( x + 8)^2+1
f(x) = ( x + 8)^2-1
Answer:
f(x)=(x-8)^2 -1
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Which statement about function g is true?
g(x)
10
x
1
2 40
3 160
4 640
The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Slope = (40 - 10)/(2 - 1)
Slope = 30/1
Slope = 30
Slope = (160 - 40)/(3 - 2)
Slope = 120/1
Slope = 120.
Factor = 40/10 = 4
Factor = 160/40 = 4
Factor = 640/160 = 4.
Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.
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Solve for x : 10x-8= 4-6x
anyone help?
Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
Add
to both sides of the equation
Simplify
Add
to both sides of the equation
Simplify
6
Divide both sides of the equation by the same term
a number p plus 7 is greater than 24
Answer:
p is greater than or equal to 18
Step-by-step explanation:
18+7=25 so therefore p can be any number greater than 18 since it will be over 24
The statement of inequality p plus 7 is greater than 24 is p > 17.
What is inequality?An inequality compares two nonequal terms. The most common inequality we use is linear inequality. There are four types of inequality they are: - less than, less than or equal to, greater than, and greater than or equal to. Represented by the signs <, ≤, >, ≥.
The statement a number p plus 7 is greater than 24 can be numerically expressed as p + 7 > 24.
p > 24 - 7.
p > 17.
This states that the number p is strictly greater than 17.
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A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
Calculate the cdf F(x).
x 0 1 2 3 4 5 6
f(x)
Use the graph to calculate the probabilities of the events given below.
(a) {at most three lines are in use}
(b) {fewer than three lines are in use}
(c) {at least three lines are in use}
(d) {between two and five lines, inclusive, are in use}
The probability of the event between two and five lines, inclusive, are in use is 0.85.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that,
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
a) At most three lines are in use
Here we need to find the probability for x≤3.
P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)
= 0.12+0.18+0.20+0.20
= 0.70
b) Fewer than three lines are in use
Here we need to find the probability for x<3.
P(x<3)=P(x=0)+P(x=1)+P(x=2)
= 0.12+0.18+0.20
= 0.50
c) At least three lines are in use
Here we need to find the probability for x≥3.
P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)
= 0.20+0.20+0.07+0.03
= 0.50
d) Between two and five lines, inclusive, are in use
Here we need to find the probability for 2≤x≤5.
P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)
= 0.18+0.20+0.20+0.20+0.07
= 0.85
Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.
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Help lol I don’t know what to do
Answer:B
Step-by-step explanation:
=========================================
Explanation:
n = some unknown number
2n = twice a number
4+2n = four more than twice a number
4+2n = 8 since the "is" means "equals"
Below is a diagram showing the word problem broken up in a table form
95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
14.2 ft
Step-by-step explanation:
tan 66° = 32/ FD
FD = 32 / tan 66° = 32 / 2.246 = 14.2
hope it helped you
Answer:
17.4
Step-by-step explanation:
\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}
tanD=
adjacent
opposite
=
7.4
x
\tan 67=\frac{x}{7.4}
tan67=
7.4
x
7.4\tan 67=x
7.4tan67=x
Type into calculator and round to the nearest tenth of a foot.
Does anyone know how to find the area?
Answer:49
Step-by-step explanation:
A = \(\frac{3+11}{2}\) · 7
= \(\frac{14}{2} \\\) · 7
= 7·7
=49
A surveyor needs to determine the distance between two points that lie on opposite banks of a river. Two points, A and C, along one bank are 250 yards apart. The point B is on the opposite bank. Angle A is 64º and angle C is 51°. Find the distance between A and B to the nearest tenth of a yard. • Write your answer as a number only. • Round answer to one decimal place.
Answer:
does anyone know
Step-by-step explanation:
That is hard
Question 16 of 50
Jayden received a bonus check from his work for $6,000. He is going to deposit the money into a bank account that receives 5% compounded annually.
The amount of interest earned after year 5 is:
O $7,657
O $8,421
O $7,300
For f(x) = √(x+4) , what is the value of the function when x = 8 ? Round to the nearest hundredth.
NEED ANSWER ASAP!!
Answer:
exact form : 2√3
decimal form : 3.46410161… or 3.46
hope this helps you!
Answer:
The value of the function is \(\sqrt{12}\). Rounded to the nearest hundredth, the answer is 3.46
Step-by-step explanation:
We are given the value of x, so we simply have to evaluate the function:
\(f(x)=\sqrt{x+4}\)
Substitute 8
\(f(8)=\sqrt{8+4}\)
Add in the radical
\(\sqrt{12}\)
The value of the function is sqrt(12).
Rounded to the nearest hundredth: \(3.46\)
Type in your answer:
X = ?
Angle KPN =?
Angle NPO =?
Answer:
x=31
KPN =62
NPO=28
Step-by-step explanation:
KPO = 90(right angle) =2x + (x-3)
3X=90+3
X= 31
NPO = 31-3
NPO=28
KPN = 2*31
KPN =62
Determine the area bounded by the curves f(x) = 4x and g(x) = 3x + 1.
Answer: 12x^2+4
Step-by-step explanation:
SHOW YOUR WORK (24 points) Asap
Answer:
3. 17x + 5 = 90° ( alternate exterior angles are equal)
=> 17x + = 90 – 5
=> 17x = 85
=> x = 85/17
=> x = 5
4. 63° + c + 110° + 75° + 50° = 360 °
=> c + 298° = 360°
=> c = 360° – 298°
=> c = 62 °
Tim had 13 flashlights. He ate 4 of them and went to the hospital. In the hospital he got 2 removed from his body and he pooped out the rest. How much flashlights dose he have now?
Answer:
13 because he never gave them away
A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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7. Triangle FIP was dilated by a scale factor of centered at the origin to
create triangle F'I'P', which has coordinates F' (1,-),1'(2,-1),P'(1,2).
Write the coordinates of the vertices of triangle FIP in the spaces
provided below.
FC
16
IC
17
PC
18
Answer:
AB is parallel to A'B'.
DO,1/2 (1/2x, 1/2y) =
The distance from A' to the origin is half the distance from A to the origin.
Step-by-step explanation:
. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.
a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him
The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.
After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.
However, Caesar, true to his word, had the pirates crucified on his own authority.
This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
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If x=-5+6i and y=3-2i , then which of the following is the value of the expression 4x-y?
Answer:
Expression = -23 + 26i
Step-by-step explanation:
Given the following data;
x = -5 + 6i
y = 3 - 2i
Expression = 4x - y
Substituting the values of "x" and "y" into the equation, we have
4(-5 + 6i) - (3 - 2i)
Expanding the bracket, we have;
Expression = -20 + 24i - 3 + 2i
Expression = -23 + 26i
38. Which of the following describes a median of a triangle? (1 point)
a segment drawn from a vertex to the midpoint of the opposite side
a segment drawn from the vertex perpendicular to the line containing the opposite side
a segment drawn through the midpoint of a side and at a right angle to the side.
segment drawn from the center of an angle to the side opposite.
A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.
What is a triangle?In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.
In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.
In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.
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What is 1/8 of 64? Little confused on ALEKS
Answer:8
Step-by-step explanation:
1×8=8
8×8=64
1/8=8/64
Here is another question DUE SOON PLEASE ASAP
Question 5(Multiple Choice Worth 1 points)
(08.07 MC)
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is;
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
What is vertex?In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.
To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.
To find the vertex, we can use the formula:
x = -b/2a, where a is the coefficient of the x² term, b is the coefficient of the x term, and c is the constant term.
Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.
We can then use the formula to find the vertex:
x = -b/2a = -5/2a
Using the values from the table, we can set up two equations:
46 = a(5)² + b(5) + c
1 = a(0)² + b(0) + c
Simplifying the second equation, we get:
1 = c
Substituting c = 1 into the first equation and solving for a and b, we get:
46 = 25a + 5b + 1
-20 = 5a + b
Solving for b, we get:
b = -20 - 5a
Substituting b = -20 - 5a into the first equation and solving for a, we get:
46 = 25a + 5(-20 - 5a) + 1
46 = 15a - 99
145 = 15a
a = 9.67
Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:
b = -20 - 5(9.67) = -71.35
Therefore, the equation of p(x) in vertex form is:
p(x) = 9.67(x - 5)² + 1
Simplifying, we get:
p(x) = 9.67(x² - 10x + 25) + 1
p(x) = 9.67x² - 96.7x + 250.85 + 1
p(x) = 9.67x² - 96.7x + 251.85
Rounding to the nearest hundredth, we get:
p(x) = 9.67(x - 5² + 1 = 9.67(x + 1.04)² - 10.25
Therefore, the answer is:
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
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kindly check if it’s correct and correct those that are wrong. thank you! as well as calculations
The following information is known for the month of December:
1. Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,900.
2. No insurance payments are made in December. Insurance expired in December is $1,400.
3. November salaries payable of $9,800 were paid to employees in December. Additional salaries for December owed at the end of
the year are $14,800.
View transaction list
4. On December 1, Golden Eagle received $2,700 from a customer for rent for the period December through February. By the end of
December, one month of rent has been provided.
Required:
For each item, (a) record any transaction during the month of December, and (b) prepare the related December 31 year-end adjusting
entry. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)
no random answers ty!
Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.
What is Journal Entry?
The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.
This question is related to the account and finance subject.
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James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
help with rewriting polynomial in standard form
The polynomial -6x⁵ - 1/8 - x³ in standard form is -6x⁵ - x³ - 1/8
Rewriting the polynomial in standard formFrom the question, we have the following parameters that can be used in our computation:
-6x⁵ - 1/8 - x³
To rewrite polynomial in standard form, we order the powers in decreasing order
Using the above as a guide, we have the following:
-6x⁵ - x³ - 1/8
Hence, the polynomial in standard form is -6x⁵ - x³ - 1/8
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help me solve this queston
TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
To represent the given problem as a system of equations, we can use the following information:
John is 70 years younger than Sharon: j = s - 70
Sharon is 4 times as old as John: s = 4j
Let's plot the graph for this system of equations:
First, let's solve equation (2) for s:
s = 4j
Now substitute this value of s in equation (1):
j = s - 70
j = 4j - 70
3j = 70
j = 70/3
Substitute the value of j back into equation (2) to find s:
s = 4j
s = 4(70/3)
s = 280/3
The solution to the system of equations is j = 70/3 and s = 280/3
In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.
Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
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Question 3 !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 0.6
:) hope this helps you
Answer:
0.6
Step-by-step explanation:
\({ \tt{ \frac{3}{5} }} \\ \)
Multiply the numerator and denominator by 2;
\( = { \tt{ \frac{3 \times 2}{5 \times 2} }} \\ \\ = { \tt{ \frac{6}{10} }} \\ \\ = 0.6\)