Answer:
156
Step-by-step explanation:
Given that,
[tex]f(x)=5^x+1[/tex]
We need to find the average rate of change between x = 0 and x = 4. It can be calculated as follows :
[tex]r=\dfrac{f(4)-f(0)}{4-0}\\\\=\dfrac{5^4+1-(5^0+1)}{4-0}\\\\=156[/tex]
So, the average rate of change between x = 0 and x = 4 is 156.
find the y-cordinates of the points that are 10 units away from the point (7,6) that have a x-cordinate of -1
Answer:
y = {0 , 12}, x = -1
point 1 (-1, 0)
point 2 (-1, 12)
Step-by-step explanation:
use the distance formula
d² = (∆x)² + (∆y)²
-----------------------------
10 units away from the point (7,6)
x-cordinate of -1
10² = (-1 - 7)² + (y - 6)²
100 = 64 + (y - 6)²
Subtract 64 from both sides
36 = (y - 6)²
Take the square root of both sides
±6 = y - 6
Add 6 to both sides
y = {0 , 12}
point 1
(-1, 0)
point 2
(-1, 12)
In ΔGHI, h = 9.6 cm, g = 9.3 cm and ∠G=109°. Find all possible values of ∠H, to the nearest 10th of a degree.
The possible values of ∠H, to the nearest 10th of a degree 77.4 degrees
To get the possible values of m<H, we will use the sine rule as shown:
g/sin∠G = h/∠H
Given the following parameters:
h = 9.6 cm, g = 9.3 cm and:∠G=109°Substitute the given parameters into the formula to have:
9.3/sin109 = 9.6/sin∠H
9.3sin∠H = 9.6sin109
sin∠H = 0.98
∠H =
Hence the possible values of ∠H, to the nearest 10th of a degree 77.4 degrees
Learn more on sine rule here: https://brainly.com/question/3240813
If the zeros of a quadratic function are 3 and 8, what are the factors of the function
Answer:
( x-3) (x-8)
Step-by-step explanation:
the zeros of a quadratic are the roots of the equation so you could factor as (x-root 1)(x-root2) = ( x-3) (x-8)
(x-3) and (x-8) are the factors
PLEASE HELP, AND HOW DO U SOLVE THESE TYPE OF QUESTIONS
9514 1404 393
Answer:
625
Step-by-step explanation:
The ordered pair is an (x, y) pair. You are given the value of x. Put it in the equation and do the arithmetic.
y = 5^4 = 625
The ordered pair is (4, 625). The missing value is 625.
_____
Additional comment
The exponentiation function on many calculators is done using a key labeled ...
[tex]\boxed{y^x}[/tex]
You can do it the long way by recognizing that 5^4 = 5·5·5·5 or 25·25.
Trisha took 3.25 minutes to complete the race an Rachel took 3.207 minutes to complete the race who won the race
Answer: trisha won the race
Step-by-step explanation:.25 > .207
Answer:
Rachel
Step-by-step explanation:
Use the following data and graph the best-fit quadratic curve. What is a good approximation for the value of c?
2
1
3
-2
Answer:
3=a(-3-(-2))^2+2
Step-by-step explanation:
Answer:
3=a(-3-(-2))^2+2
Step-by-step explanation:
Determine whether each ordered pair is a solution to the inequality x+y>−2.
(10,−1)
(−8,9)
(−1,−9)
(6,−3)
(7,−9)
===================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
which is false
You should find that choice E is false as well.
---------------------
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
Choose (two) statements (the original conditional statement and converse)
that could form the biconditional "An object measures 12 inches if and only if it is 1 foot long."
A. If an object is 1 foot long, then it measures 12 inches.
B. If an object does not measure 12 inches, then it is not 1 foot long.
C. An object is not 1 foot long if it does not measure 12 inches.
D. If an object measures 12 inches, then it is 1 foot long.
PLEASE HELP !!
Answer:
Ssss
Step-by-step explanation:
Who is Albert Einstein?
Answer:
Albert Einstein was a German mathematician and physicist who developed the special and general theories of relativity.
Hi!Albert Einstein, (born March 14, 1879, Ulm, Württemberg, Germany—died April 18, 1955, Princeton, New Jersey, U.S.), German-born physicist who developed the special and general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect. Einstein is generally considered the most influential physicist of the 20th century.
Samuel has a hamster cage that is a rectangular prism. It is 20.5 inches long, 12 inches deep, and 10.25 inches tall. What is the volume, in cubic inches, of samuel's hamster cage
Answer: 2521.5 inches³
Step-by-step explanation:
The volume of a rectangular prism will be calculated by multiplying the three dimensions. In this case, the dimensions given are 20.5 inches long, 12 inches deep, and 10.25 inches tall.
Therefore, volume will be:
= Length × Width × Height
= 20.5 × 12 × 10.25
= 2521.5 inches³
A person had $17,000 invested in to accounts One paying 7% simple interest And one paying 8% simple interest. How much was invested In each account if the interest rate after one year is $1356?
Answer:
A1 7% = $400 & A2 8% = $16,600
Step-by-step explanation:
A1 * 7% + A2 * 8% = 1356
A1 + A2 = 17000
A1 = 17000 - A2
(17000 - A2) * 0.07 + A2 * 0.08 = 1356
1190 - 0.07 A2 + 0.08 A2 = 1356
1190 + 0.01 A2 = 1356
0.01 A2 = 166
A2 = 16600
A1 = 17000 - A2
A1 = 17000 - 16600
A1 = 400
Help me please also with this one please
Answer:
3x+60+60=180 (cointerior angle)
3x+120=180
3x=180-120
3x=60
x=20
Consider an urn containing 4 white balls and 1 black ball, and suppose that balls will be sequentially drawn (without replacement) from the urn until the black ball is obtained. Letting X denote the number of white balls drawn before the black one is selected, give the pmf of X.
Answer:
[tex]P(X = 0) = 0.2[/tex]
[tex]P(X = 1) = 0.2[/tex]
[tex]P(X = 2) = 0.2[/tex]
[tex]P(X = 3) = 0.2[/tex]
[tex]P(X = 4) = 0.2[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
pmf of X.
Probability of each outcome, 0, 1, 2, 3 or 4 white balls drawn.
Before the trials, you are equally as likely to get the black ball in the 1st trial(0 white balls drawn) to the 5th trial(4 white balls drawn). So this is an uniform distribution with [tex]P(X = x) = \frac{1}{5} = 0.2[/tex]
Thus, the pmf is:
[tex]P(X = 0) = 0.2[/tex]
[tex]P(X = 1) = 0.2[/tex]
[tex]P(X = 2) = 0.2[/tex]
[tex]P(X = 3) = 0.2[/tex]
[tex]P(X = 4) = 0.2[/tex]
Jenny is taking a vacation from Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. Over the 7 hours time period what was Jenny's average speed?
Answer: 65 kmh
Step-by-step explanation:
70 kmh for 2 hours = 140 km.
63 kmh for 5 hours = 315 km
140 + 315 = 455/7 total hours = 65 kmh
PLEASE HELP
Solve for x: -7
06
0-6 >x>9
06 >x>-9
O-6
Question 9 Multiple Choice Worth 1 points)
Answer:
0-7
Step-by-step explanation:
89-0
How many x-intercepts does the graph of y=2x^2-4x+2 have?
A.) 2
B.)1
c.)0
Answer:
2
Step-by-step explanation:
What’s the slope and equation
Answer:
slope = -5 equation= y=-5x+100
Step-by-step explanation:
pick the x and y intercepts as your points to find the gradient that is
(20,0) and (0,100)
slope =∆y/∆x
=100/-20
= -5
take point(20,0) and (x,y) to find equation using the slope
equation becomes y= -5x+100
Jane Peterson has taken Amtrak to travel from New York to Washington, DC, on six occasions, of which three times the train was late. Therefore, Jane tells her friends that the probability that this train will arrive on time is 0.50. Would you label this probability as empirical or classical? Why would this probability not be accurate?
Answer:
a) This probability as empirical Probability.
b) This probability is not accurate because this experiment must be repeated a large number of times for empirical probabilities should be accurate.
Step-by-step explanation:
On 6 occasions, of which three times the train was late. that means 3 times the train is on time.
Empirical probability = Number of outcomes satisfying event / No.of trails
= 3/6 = 0.5.
a) This probability as empirical Probability.
b) This probability is not accurate because this experiment should be repeated a large number of times for empirical probabilities should be accurate.
Solve for the value of r help pls
Answer:
r=20
Step-by-step explanation:
since the angle and sum of a straight line is equal to 180, you structure an equation:
180=105+(4r-5)
solve for r
180=100+4r
80=4r
20=r
check answer
4r-5 4(20)-5
80-5
75+105=180
Please help with this one
Answer:
m∠LMN = 74°
Step-by-step explanation:
Use the property of central angle formed by the arc,
"Measure of an arc is equal to the measure of the central angle"
m(arc LN) = m∠LMN
74° = m∠LMN
m∠LMN = 74°
Therefore, measure of m∠LMN will be 74°.
Activity 1: Directions: Write TRUE if the statement is true and FALSE if the statement is false.
1. The formula in finding the area of a circle is derived from the area of a parallelogram
2. The area of a circle isπr²
3. The area of a circle is equal to pi divided by the square of the radius.
4. The diameter of a circle is equal to twice its radius.
5. The area of a circle whose radius is 2.1m² is 13.85m².
Please need answer
Step-by-step explanation:
1.The formula in finding the area of a circle is derived from the area of a parallelogram. It is false.
2. The area of a circle is πr² where r is the radius of the circle. It is true.
3. The area of a circle is equal to pi divided by the square of the radius. It is false.
4. The diameter of a circle is equal to twice its radius i.e. d = 2r. It is true.
5. If r = 2.1 m
Area of circle, A = πr²
= 3.14 (2.1)²
= 13.85 m²
Henc,e this is the required solution.
Plzzz help I only have 20 minutes
Answer:
n+6+2n+3+90=180
3n+99=180
3n=81
n=27
33 plus 90+57=180
Answer:
the value of n is 27 degree
Step-by-step explanation:
n+6+2n+3+90=180 degree (being linear pair)
3n+9+90=180
3n=180-99
3n=81
n=81/3
n=27
A linear pair is a pair of adjacent angles formed when two lines intersect.
(5 QUESTION 4 If 1 foot = 0.37 metres and 1 mile - 5.180 feet. Find the number of kilometres in 15 miles.
Answer:
there are 24.14 kilometers in 15 miles
Which of the following statements is true?
A) All rhombuses are squares.
B) All parallelograms are rectangles.
C) All squares are rectangles.
D) All rectangles are squares.
Answer:
I think its B I am not houndered percent sure
Explanation:
Because if you put parallelograms on both sides it will make a shape
Kolyan buys water for $2.60. He also buys biscuits The ratio cost of biscuits: cost of water= 3:2 Find the cost of the biscuits.
Answer:
1.733
Step-by-step explanation:
Given ratio ,
=> 3:2
According to the Question ,
=> $ 2.60 / x = 3/2
=> x = $ 2.60 × 2/3
=> x = $ 1.733
Answer:
≈ $1.73
Step-by-step explanation:
[tex]\frac{2.6}{y} :\frac{3}{2}[/tex]
y × 3 = 2 × 2.6
3y = 5.2
3y ÷ 3 = 5.2 ÷ 3
[tex]y=1\frac{11}{15}[/tex]
y = 1.7333333333333
1.7333333333333 rounds to $1.73
HELP ME PLEASE Urgently !!!!
Answer:
The best bet would be x=40
Step-by-step explanation:
What are the eight-digit grid
coordinates for benchmark 86 (circled
in red)?
Answer:
might wanna add the picture for an answer
Step-by-step explanation:
Thanks!!
What is the quotient?
x-3) 4x2+3x+2
+2
O 4X2 + 15 +
47
X-3
43
0 4x + 15 +
X-3
O 4x2 + 15 +
43
X-3
0 4x + 15 +
47
X-3
Answer:
13
Step-by-step explanation:
the answer is 13
the answer is 13
the answer is 13
the answer is 13
the answer is 13
The quotient obtained by dividing 4x²+3x+2 will be 4x + 15 hence option (A) will be correct.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraint.
Given that
dividend = 4x²+3x+2
divider = x -3
⇒ (x - 3) / 4x²+3x+2
⇒ (x - 3) / 4x²+3x+2
→ First it will goes for 4x time so 4x × (x - 3) = 4x² - 12x
Quotient = 4x
so (4x²+3x+2) - ( 4x² - 12x ) = 15x + 2
(x - 3) / 4x²+3x+2
→ Second time it goes for 15 so 15 × (x - 3) = 15x -45
Quotient = 15
so (15x + 2 ) - ( 15x -45 ) = 47
Hence, 47 will be the remainder and the quotient will be (4x + 15).
For more about the equation, here:
brainly.com/question/10413253
#SPJ2
If four pounds of potatoes cost $6.00, how much would 10 pounds of potatoes cost
Answer:
I think is 15 dollars.
Step-by-step explanation:
each pound cost 1.5 multiply it by 10
Answer:
$15
Step-by-step explanation:
4 pounds are $6
10pounds are $?
1 pound would be $1.5, because 6/4 = 3/2= 1.5
If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15
suppose a hole of radius 1 is bored through a sphere of radius 2. what is the volume of the resulting shape
Answer:
21.77
Step-by-step explanation:
Applying,
V = (4/3)π(R²-r²)³/²................. Equation 1
Where V = Volume of the resultant shape, R = radius of the sphere, r = radius of the hole bored, π = pie
From the question,
Given: R = 2, r = 1
Constant: π = 3.14
Substitute these values into equation 1
V = 4/3(3.14)(2²-1²)³/²
V = (12.56/3)(3)³/²
V = 4.19(5.196)
V = 21.77
