Answer:
j=-15
Step-by-step explanation:
Since it it just the exponent of x, we will only see what x's exponent will be:
[tex]x^{6} +x^{-21}[/tex]
Add 6 and -21:
6-21= -15
j=-15
Alexandra read 3/7 of the pages in her 112-page book. How many pages has she read already?
Answer:
48 pages
Step-by-step explanation:
112÷7=16 so 3x16=48
A mathematics professor created a test that was supposed to be mostly easy except for two challenging problems. The scores of the students are shown in the dot plot below. What was the most common score?
Answer:
Depends how many questions there is.
Step-by-step explanation:
Complete the table of values
Answer/Step-by-step explanation:
✔️when x = 0:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-0} [/tex]
[tex] \frac{1}{4^0} [/tex] (negative exponent)
[tex] \frac{1}{1} [/tex] (whatever number that is raised to the power of 0 = 1)
a = 1
✔️when x = 2:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-2} [/tex]
[tex] \frac{1}{4^2} [/tex] (negative exponent)
[tex] b = \frac{1}{16} [/tex]
✔️when x = 4:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-4} [/tex]
[tex] \frac{1}{4^4} [/tex] (negative exponent)
[tex] c = \frac{1}{256} [/tex]
Find the measure of the indicated angle to the nearest degree (whole number).
39
36
15
Answer:
I think 39
Step-by-step explanation:
1. Su familia va a cenar a un restaurante de estilo sureño. Hay 6 personas en tu familia. Algunos piden la cena de pollo por $ 14 y otros piden la cena de bistec por $ 17. Si la cuenta total fue de $ 99, ¿cuántas personas pidieron cada cena?
hola. én gou. hul gh ghî
tan^2 70° -sec^2 70°
Answer:
-1
Step-by-step explanation:
We need to find the value of tan² 70° -sec² 70°.
We know that,
[tex]\sec^2\theta-\tan^2\theta=1[/tex] ...(1)
We can write the given expression as :
tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)
=-(sec² 70°-tan² 70°)
Using identity (1)
=-(1)
= -1
Hence, the value of the given expression is -1.
A diagonal of a television screen measure 30 inches. The screen is 18 inches tall,as shown. which expression is equal to the length of the television screen in ,inches
Answer:
24 inches
Step-by-step explanation:
The television is a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in no particular order hence we can use Pythagoras theorem to find the length.
Recall that the theorem states that
opposite side^2 + adjacent side^2 = hypotenuse side^2
let the length of the television screen be L
L^2 + 18^2 = 30^2
L^2 + 324 = 900
L^2 = 900 - 324
L^2 = 576
L = √576
= 24 inches
in the first week of July, a record 1,040 people went to the local swimming pool. In the
second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more
people went to the pool than in the second week. In the fourth week, 290 fewer people went to the
pool than in the third week. What is the percent decrease in the number of people who went to the
pool over these four weeks?
Answer: 25%
Step-by-step explanation:
First week of July = 1040 people
Fourth week of July = 1040- 100 + 130 - 290 = 780
The number of people that went to the swimming pool in 1st week was 1040 while the 4th week had 780. The percentage decrease will be:
= (1040 - 780) / 1040 × 100
= (260 / 1040) × 100
= 0.25 × 100
= 25%
1.
Which expression is equivalent to "the second power of (8 - 3)"?
O A 53
B. 83
c. 52
D. 2(8 - 3)
Answer:
[tex](8 - 3)^2 = 5^2[/tex]
Step-by-step explanation:
Given
[tex](8 - 3)[/tex]
Required
Determine the second power
The second power of an expression is the square of the expression.
So, the second power of [tex](8 - 3)[/tex] is
[tex](8 - 3)^2[/tex]
Solving further:
[tex](8 - 3)^2 = 5^2[/tex]
Hence:
Option (c) is correct
3x + 4y = -23
2y - x = -19
What is the solution (x, y) to the system of equations above?
(-5, -2)
(3, -8)
(4, -6)
(9, -6)
Step-by-step explanation:
I belive is choice 2 cause I only got -19 with that one
Evaluate 42,147÷63. Round to the nearest whole number, if necessary.
Please help
Answer: 669
Step-by-step explanation:
Can you please help me !!
Step-by-step explanation:
i think 2 because the 10 could be divided by 5
which would give you
r ^2 + 2
1. 2
pls help with this problem
Determine whether the relation is or is not a function.
Answer:
Not a function because it does not pass the Vertical Line Test.
Use the table to solve the inequality -3x<3
Answer:
what table
Step-by-step explanation:
Answer:
x
≥
−
1
Step-by-step explanation:
Please answer and show how you got them
Answer:
Point form:
1:
(1,2)
Equation form:
1, y = 2
2:
Point form:
(3,0)
Equation form:
x = 3,y,=0
Step-by-step explanation:
how to graph f(x)=7|x -4|-1
Answer:
here I drew it digitally Hope it helps
Step-by-step explanation:
The graph of the function is a V-shaped curve.
Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.
To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:
Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.
Set the expression inside the absolute value equal to zero and solve for x to find this critical point:
|x - 4| = 0
x - 4 = 0
x = 4
So, the critical point is x = 4.
Next, consider the behavior of the function on each side of the critical point.
Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.
Let's choose x = 2:
f(2) = 7|2 - 4| - 1
f(2) = 7|-2| - 1
f(2) = 7(2) - 1
f(2) = 14 - 1
f(2) = 13
Let's choose x = 6:
f(6) = 7|6 - 4| - 1
f(6) = 7|2| - 1
f(6) = 7(2) - 1
f(6) = 14 - 1
f(6) = 13
Therefore, we have the points (2, 13) and (6, 13) on the graph.
Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.
To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).
The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).
Extend the arms of the V-shaped curve indefinitely in both directions.
Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.
Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.
The graph of the function is attached.
Learn more about Function click;
https://brainly.com/question/30721594
#SPJ4
This is about similar polygons in geometry
Damon's father pays him one dollar to start the work and
doubles his pay for each hour of work. Write a function that
models this situation.
Answer: p(x) = $1*(2)^x
Step-by-step explanation:
First, the father pays him $1 for only starting the work, and for each hour, the payment is doubled.
So after the first hour, the payment wil be 2*$1 = $2.
After the second hour, the payment will be 2*(2*$1) = $1*(2)^2
After another hour, the payment will be 2*($1*(2)^2) = $1*(2)^3
We already can see the pattern here, after x hours, the payment will be:
p(x) = $1*(2)^x
This is the function that models this situation.
{35, 42, 49, 56, ...} finite or infinite?
Answer:
infinite
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = 8x + 5?
Answer . m= -1/8
Step-by-step explanation:
The perpendicular slope is the negative reciprocal. Meaning that the numerator and denominator are switched and the sign of the slope becomes the opposite. (if the slope was -8, then the perpendicular slope would be 1/8)
Solve for x: 0.03x - 1.2 = 0.24
Answer:
920
Step-by-step explanation:
if f (x) = √(3) ×cos(x) + 3×sin(x) , then f َ(π/3)
Answer:
2sqrt(3)
Step-by-step explanation:
.............
Simplify -6(a +8) can someone help me with that with the steps included
Answer:
−6(a+8)
=(−6)(a+8)
=(−6)(a)+(−6)(8)
=−6a−48
Step-by-step explanation:
multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48
Please help out! Fast
Answer:
40, 15, 2.5
Step-by-step explanation:
If there are 10 kilos in 22 pounds, we have to divide Fido's weight by 22. 88/22 is 4 meaning there are four sets of 10 kilos making 40.
If 22 pounds is 1 kilogram, and half a kilogram is 11 pounds, we kmow thaat 22 + 11 equals 33.
Bella weighs one foruth or a quarter of 22. Meaning he is a quarter of 10 kilograms giving us 2.5
Whoever answers number 1 and 2 gets brainliest!! :)
Answer:
1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.
2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!
Step-by-step explanation:
What is 86,503 when writing in expanded
Answer:
86 thousand 5 hundred and 3
Step-by-step explanation:
A cylindrical can of paint has a volume of 200pi cubic inches.
What is the volume of a cone with a base and height that are congruent to the corresponding measures of the paint can?
Answer:
Step-by-step explanation:
Please answer quickly !
Answer:
Probably B
Step-by-step explanation:
If a = -4, then what is the value of -a?
OA.
5
OB.
4
OC. 0
OD
D. -4