Evaluate 4 ^ x for (a) x = - 2 and (b) x = 3 . Write your answers in simplest form
Answers
The value of 4ˣ for x = -2 and x = 3 is 0.0625 and 64 respectively.
What is an exponential function?The formula for an exponential function is f (x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given function 4ˣ
when x = -2
4ˣ = 4⁻²
using a⁻ⁿ = 1/aⁿ
4⁻² = 1/4² = 1/16
4⁻² = 0.0625
and x = 3
4ˣ = 4³
4³ = 4 x 4 x 4 = 64
Hence the values are 0.0625 and 64 for x = -2 and 3.
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Related Questions
Factor completely and then place the factors in the proper location on the grid.
36 x2 + 60 x + 25
Answers
Answer:
[tex](6x+5)^{2}[/tex]
Step-by-step explanation:
[tex]36x^{2}+60x+25[/tex]
Just looking at the equation, one can see that the first element ([tex]36x^{2}[/tex]) and the last element ([tex]25[/tex]) are both perfect squares. One can see that when one multiplies the number and then doubles the result, the resulting values will be the value in the middle. Therefore, it is clear that is the answer is;
[tex](6x+5)^2[/tex]
is a symbol for Zero used in the Roman numerations systems
Answers
Answer:
no
Step-by-step explanation:
the word they used for zero is nulla meaning none
The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
these apples?
Answers
Explanation: We need to find the sum of the two types of apples times the cups of apple sauce one can make with them.
Thus, we have (1/2 cups*17 medium apples)+(3/4 cups*23 large apples)=103/4 or 25.75 cups.
Patrice can make a total amount of 25.75 cups of apple sauce.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Patrice has 17 medium apples and 23 large apples.
Amount of apple sauce form a small apple = 1/3 cup
But Patrice does not have any small apples.
Amount of apple sauce from a medium apple = 1/2 cup
Amount of apple sauce from 17 medium apples = 17 × 1/2 cups
= 8.5 cups
Amount of apple sauce from a large apple = 3/4 cup
Amount of apple sauce from 23 large apples = 23 × 3/4 cups
= 17.25 cups
Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups
Hence the total amount of apple sauce that Patrice can make is 25.75 cups.
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16% of $72=
I need help so if you know help
Answers
Answer:
Step-by-step explanation:
$72 is 100% and
$? is 16%
? = 16*72/100 = 11.52
Т. .
A number composed of two digits divisible by 5 and tens digit is less than unit digit by one
Answers
9514 1404 393
Answer:
45
Step-by-step explanation:
Only numbers ending in 5 or 0 are divisible by 5. If the units digit is 0, there can be no tens digit that is 1 less. So, the units digit must be 5 and the tens digit must be 4.
The number is 45.
Alcohol is a major contributor to high percentages of academic problems and college dropouts. Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. True False Not Sure Question: Alcohol is a major contributor to high percentages of academic problems and college dropouts. How confident are you of your response
Answers
Answer:
True
Step-by-step explanation:
This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.
what is 3x4x19x39x4x9x11x10x20squared-10473408000 tee-hee
Answers
Answer:
A seizure and a half
Step-by-step explanation:
Answer:
495962981439552000
need help on this question
Answers
Did you say nevermind so I will just take these free points
Sarah made 5 gallons of punch for her family reunions if each serving is 1/16 gallon how many servings is this?
A. 75
B. 50
C. 80
D. 3 1/5
Answers
Answer:
С) 80
вот правильный ответ
What is the area of this figure?
Answers
Answer:
75.398
Step-by-step explanation:
A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.
A right triangle is shown. The lengths of the 2 sides are 10 feet and 3 feet. The angle opposite to side with length 3 feet is x.
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?
16.7°
17.5°
72.5°
73.3°
Answers
Answer:
Step-by-step explanation:
Hence option B is correct.
What is trigonometric function ?a function of an arc or angle defined in terms of the ratios of pairs of sides of a right-angled triangle (such as sine, cosine, tangent, cotangent, secant, or cosecant).
How to solve?In the figure it can be seen the perpendicular value =10 feet
and ,the base=3 feet,
tan(x)=10/3
tan(x)=3.33
x=73.3
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A circular garden has a circumference of 63 yards. Lars Is digging a straight line along a diameter of the garden at a rate of 5 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for 1 and round the diameter to the nearest whole number, if necessary. It will take Lars about hours to dig across the garden.
PLZ answer need by 10:40
Answers
Answer:
4 hours
Step-by-step explanation:
f the circumference of the circular garden =63 yards
Circumference of a Circle =2πr=πd (d=diameter)
Therefore:
πd= 63
diameter of the circular garden =63/3.14=20 yards
If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:
20 yards/5 yard per hours = 4 hours
It will take him 4 hours to dig across the circular garden.
value of b in the quadratic equation 3x/4=1/x
Answers
which is the closest to the quotient 4367/0.004
Answers
Answer:
1091750
Step-by-step explanation:
if your dividing
On a platter of chicken wings they are mild wings and hot wings in a representative sample of 10 chicken wings there are 5 mild wings if the platter has 90 chicken wings estimate the number of mild wings on the platter
Answers
Answer:
30 mild wings
Step-by-step explanation:
Mr. Greenwood bought 1/2 gallon of milk.His family members drank 3/4 of the milk for breakfast. .How many gallons of milk did they drink?
Answers
Answer: 6/8
Step-by-step explanation: this is the answer
HELP ASAP PLEASE!
The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters
Answers
Answer:
Step-by-step explanation:
The area of each rectangle is Length x width
Therefore Area of rectagle is 8cm x 10 cm=
A= 80 cm 2
There are three rectangles with the same measure so multiply the area by 3
80cm squared x 3= 240 cm 2
Now find the are of the triangle:
A- 1/2 x base x height
Base = 8cm
Height = 6.9 cm
A= (1/2) (8cm) (6.9cm)
A= (1/2) (55.2 cm squared)
A= 27.6 cm squared
Since there are two triangle faces with the same dimensions take the area and multiply it by 2
27.6 cm squared times 2 = 55/2 cm squared
Now add up the area of the rectangles and the area of the triangles.
Rectangles= 240 cm squared
Triangles 55.2 cm squared
240cm sq + 55.2 cm sq.= 295.2 cm squared
SOMEONE PLSS HELP!
Dwayne’s goal is to run 1 mile in 8 minutes or less. In order to predict when he will reach his goal, he drew a trend line that fits along the data points. He extended the trend line to week 8. According to the line, will he reach his goal by week 7? By week 8?
Answers
Answer:
where's the line? Can't answer it without it.
Write the rate as a fraction in simplest form: 492 miles in 8 hours.
Answers
Tanks
How do you use Trigonometric Ratios to solve Real-world problems?
Answers
Answer:
Trigonometry can be used to measure the height of a building or mountains: if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building.
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PLS SHOW THE WORK!!!!!!!!
Answers
Answer:
x=-4/11; y=-19/11
Step-by-step explanation:
Answer:
x = 4/11 ; y = 19/ 11
sorry i cant give you the explanation
i hope this will help u
pls add me as bainliest
Step-by-step explanation:
Question
Solve 9 < 3x + 6< = 15 and write the solution in interval notation. If there is no solution, type Ø.
Answers
Given:
The compound inequality is
[tex]9<3x+6\leq 15[/tex]
To find:
The solution for the given compound inequality in interval notation.
Solution:
We have,
[tex]9<3x+6\leq 15[/tex]
Subtracting 6 from each side, we get
[tex]9-6<3x+6-6\leq 15-6[/tex]
[tex]3<3x\leq 9[/tex]
Divide each side by 3.
[tex]\dfrac{3}{3}<\dfrac{3x}{3}\leq \dfrac{9}{3}[/tex]
[tex]1<x\leq 3[/tex]
Here, 1 is not included in the solution set and 3 is included in the solution set.
Therefore, the solution in interval notation is (1,3].
What is the slope of the line y + 3= 5/7(x + 4)
Answers
Answer:
5/7
Step-by-step explanation:
y + 3 = 5/7 (x + 4)
y + 3 = 5/7x + 2 and 6/7
y = 5/7x =1/7
y = mx + b
m = slope
Today, 198 people went to Six Flags the first hour it was open. This number was 30% of the number of people who went to the park yesterday. How many people went to the park YESTERDAY?
Answers
Its 660
there would be 198 people if you take 30% of 660
Answer:
660
Step-by-step explanation:
30% = 198 (People for the first hour it was open)
1% = 6.6 (1% for people at the park yesterday)
100% = 6.6 x 100 = 660 (Everybody at the park)
I hope I did it right.
NEED HELP! MATH 256 SQUARED!15 PTS ONE BRAINLYIST
Answers
Answer:
bxhebgrbf brcjfrbv5nk
Step-by-step explanation:
Need help !!! Please and thank you
Answers
solve for y
y - 2 = 2x
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
add two to both sides so that (-)2 cancels out on the side by the y to get it by itself move +2 to the side with the x giving you y = 2x + 2
Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
O(-5, -8)
(5,8)
O (5,-8)
0 (-5,8)
Answers
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
3xy - 4y when y =2 and x =5
Answers
3(5)(2) - 4(2) , the parentheses are there to multiply
30-8
22
Answer:
22
Step-by-step explanation:
PLEASE HELP!! 30 POINTS
What is the length of the hypotenuse of the triangle below?
512
9041
245
572
O A. 1
B. 252
C. 5
O O O O
D. 10
E. 10
Answers
Answer:
10 (D)
Step-by-step explanation:
do the Pythagorean theorem
