Answer:
[tex]log_{32}(2)=0.2[/tex]
Step-by-step explanation:
Recall that the unknown (x) here is the log base 32 of 2, so we can write this as the equation:
[tex]log_{32}(2)=x[/tex]
The above equation can be solved by the "change of base formula":
[tex]x=\frac{log(2)}{log(32)} \\x=0.2[/tex]
We can also answer this by trying to solve the exponential equation:
[tex]32^x=2[/tex]
Where we are asked what is the exponent (x) at which we need to raise the base (32) in order to obtain the answer "2"?
Notice that since
[tex]2^5=32[/tex]
Then [tex]32^{1/5} = 2[/tex]
And 1/5 = 0.2 which also agrees with our previous answer
The graph of f(x) is shown below.
If g(x) = -10x + 2, which statement is true?
A.
The x-intercept of g(x) is greater than the x-intercept of f(x).
B.
The x-intercept of g(x) is less than the x-intercept of f(x).
C.
The y-intercept of g(x) is greater than the y-intercept of f(x).
D.
The y-intercept of g(x) is less than the y-intercept of f(x).
Answer:
I believe the answer is B
Step-by-step explanation:
Which of the following is described by the notation? <-> AB|| <-> CD? A. Skew lines b. Parallel lines c. Intersecting lines d. Perpendicular lines
Answer:
B. Parallel Lines
Step-by-step explanation:
B. Parallel Lines
Solve for X
2^5-[4(5-3)^2]=-8x
Answer:
-2
Step-by-step explanation:
[tex]2^5-[4(5-3)^2]=-8x\\32-[4(4)]=-8x\\32-16=-8x\\16=-8x\\x=-2[/tex]
Hope this helps!
What is the area of the regular polygon?
The diagonal is 10, so a side is [tex]{10/\sqrt{2} }[/tex]
The area would be 100/2
or 50 m^2.
what is 4/10 times 8/10???
Answer:
8/25
Step-by-step explanation:
We do this by multiplying the top first, and we get 32.
We then multiply the bottom, and get 100.
You might think the answer is 32/100.
Well, kind of! We need to simplify!
we divide the top and bottom by four to get our answer, 8/25.
I need help I can’t figure this out
Answer:
12.04 = BC
Step-by-step explanation:
A tangent intersects at 90 degrees
We know AB and AC
We can use the Pythagorean theorem
a^2 + b^2 = c^2
AC^2 + AB^2 = BC^2
8^2 + 9^2 = BC^2
64+ 81 = BC^2
145 = BC^2
Take the square root of each side
sqrt(145) = BC^2
12.0415945 BC
To the nearest hundredth
12.04 = BC
The steps to derive the quadratic formula are shown below:
Step 1 ax2 + bx + c = 0
Step 2 ax2 + bx = − c
Step 3 x2 + b over a times x equals negative c over a
Step 4 Blank space, fill in the answer
Provide the next step to derive the quadratic formula.
Answer Choices: (see image)
Answer:
b)
[tex]x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}[/tex]
Step-by-step explanation:
Step(i):-
Given quadratic equation ax² + bx + c = 0
step(ii):-
ax² + bx = -c
Step(iii):-
Dividing 'a' on both sides , we get
[tex]\frac{ax^{2} +bx }{a} = \frac{-c}{a}[/tex]
[tex]x^{2} + \frac{bx}{a} = \frac{-c}{a}[/tex]
Step(iv):-
Adding [tex](\frac{b}{2 a} )^{2}[/tex] on both sides , we get
[tex]x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}[/tex]
Answer:
B
Step-by-step explanation:
Chelsea played her tuba from 4:25 to 5:07 how long did Chelsea play her tuba?
Answer:
The correct answer is 42 minutes
Step-by-step explanation:
4:25 to 5:00 is 35 mins
add 7 = 42mins
how do you find a probability
Answer:
Step-by-step explanation:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.
Could someone help me with this plz. That would be great. You get points
Answer:
C
Step-by-step explanation:
i may be wrong sorry
someone please help me
Answer:
720 degrees
Step-by-step explanation:
The population of a school is 2100 and is increasing at the rate of 3%;6 years.
Write a function to model the situation.
Answer:
p = 2100e^0.3t , t=6 years
Step-by-step explanation:
Segment AC is a diagonal of a regular polygon ABCDEF. What does Angle ACD equal.
A.36
B.5
C.72
D.108
Answer: the answer is D.108
BRAINLIEST AWARD ASAP
(Please explain the way you got your answer)
3(2-4i)^2
What is the solution to this system of equations? (Possible answers included)
Answer:
A. 2,6
Step-by-step explanation:
Looking at the lines, the lines intercept through 2,6.
Have a great day (:
will mark as brainliest pls answer quick
Select each quadrilateral that has four congruent sides.
A) trapezoid
B) isosceles trapezoid
C) parallelogram
D) rhombus
E) rectangle
F) square
Answer:
D and F bc rhombi and squares have congruent sides
The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.
A. The car has an initial speed of 0 units and is speeding up to a speed of 35 units by 4 units per second.
B. The car has an initial speed of 4 units and is speeding up by 35 units per second.
C. The car has an initial speed of 35 units and is slowing down by 4 units per second.
D. The car has an initial speed of 35 units and is speeding up by 4 units per second.
Answer:
The car has an initial speed of 35 units and is slowing down by 4 units per second.
Step-by-step explanation:
The changing speed of a car is modeled by the function :
[tex]s(t)=-4t+35[/tex]
t is time in seconds
Initial speed means at t = 0
s(0) = 35 units
Here the change in speed is negative, it means that the car is slowing down by this rate.
So, the correct answer is : The car has an initial speed of 35 units and is slowing down by 4 units per second.
Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game seasons.
Unit rate ______ points/games
Points in 11 games ______
Unit rate = 41 points / 3 games = 13 2/3 points per game
Point in 11 games = 13 2/3 points per game x 11 games = 150 1/3 total points, round to 150.
1.Choose the best description for ∠1 and ∠2 in the following figure.
2. Determine whether the angles are adjacent angles, a linear pair, or vertical angles. Some pairs of angles may have more than one relationship.
THE PICTURES ARE IN ORDER THE LAST TWO ARE FOR NUMBER 2
Answer:
1 ) Adjacent angles,
2 ) See solution below
Step-by-step explanation:
Question 1. Provided ∠ 1 and ∠ 1 are near one another, they can be referred to as adjacent ∠s;
Solution; Adjacent angles
Question 2.
Angles 5, and 6 are consecutively near one another, and thus are adjacent angles,
Angles 5 and 9 are supplementary knowing that they lie on a straight angle, so that they can be best named a linear pair, provided there are only two of these angles,
Angles 5 and 8 are opposite to one another so that they are ≅, thus should be names as vertical angles
Solution;
Angle | Adjacent Angles | Linear Pair | Vertical angles
∠ 5, 6 | Check! | |
∠ 5, 9 | | Check! |
∠ 5, 8 | | | Check!
If 20x = 54 and 2.xy=
100, what is y?
Answer:
y=18.51
Step-by-step explanation:
First we must figure out the value of "x". We can do that in the first equation. To find the value of "x" you divide both sides by 20. That will give you the value of "x" which is 2.7. With this information, you can plug in that value into the second equation to get the value of "y". 2(2.7)(y)=100. Multiply 2 and 2.7 to get 5.4. Then divide 5.4 from both sides to get the value of "y" which is around 18.51. I hope this helped.
helpppppp meeeeeee plz
60 total fourth graders and 43 are girls. To find the number of boys, subtract.
60 - 43 = 17 boys
If 5 girls were absent, subtract.
43 - 5 = 38 girls present
If 4 boys were absent, subtract.
17 - 4 = 13 boys present
Therefore, there were 13 boys present.
Best of Luck!
Answer:
13 boys were present
Step-by-step explanation:
→ In total there is 60 fourth graders at the Small Tree School.
→ 43 of them are girls and this information is given to us which means that there is 17 boys because 60 - 43 = 17
→ We want to know know how many boys were at the school on Friday considering that 5 fourth grade girls and 4 fourth grade boys were absent
→ We know that there is a total of 17 boys and 4 fourth grade boys were absent so 17 - 4 will give us the number of boys that were present on Friday so 17 - 4 = 13. 13 boys were present considering 5 fourth grade girls and 4 fourth grade boys were absent
how are absolute value and opposites realated
Answer:
oppisite is the absolute value
Step-by-step explanation:
Kendle wants to play several games of laser tag. She has $35 to play g games. Each game of lazer tag costs $5. Select the equation that matches this situation.
Answer:
35 ÷ 5 = g
Step-by-step explanation:
First, you snatch her/his money to do math, then you take the $35 and look the the thing that tells you how much games cost then do 35 ÷ 5 but since you cant solve it just put 35 ÷ 5 = g , and last but not least you take Kendle's money because no lazer tag during a pandemic and run home before you get yelled at because you were at a lazer tag place and took someones money.
Answer:
35/5=g
Step-by-step explanation:
it's pretty simple! she has 35$ but each game is 5$ so 35 over 5 is g. and g= 7 hope this helped
Angles A and B together create a 90° angle. ∠A = 4x −10 and ∠B = 2x − 20. Find the angle measures (what will
Answer:
12 degrees
Step-by-step explanation:
PLEASE HURRY!!!!
WILL GIVE BRAINLIEST!!!
(Answer choices and question is in the picture)
Answer:
The answer is 40
Step-by-step explanation:
The reason for this is because. . .
(-1,-4) , (3,6)
so you have count from -1 to 3 and u will get 4, because if you can put (-1,-4) and (3,6) on a graph. If you did that then u must count horizantolly from -1 to 3 since they are on the x-axis. In the end you will get 4 since 3 minus -1 is 4. Also if your counting horizantally then that's ur width.
width = 4
To find the length, it is very simple. Subrtract 6 from -4 and you will get 10. And since the y-axis is being counted vertically, that is your length.
length = 10
To find the area, u have to do width times length so in this case you have to do 4 time 10 and you will get 40.
area = 40
3. Determine the Determinant of the Quadratic
2x2 + 7x - 3=0
Answer:
73
Step-by-step explanation:
I think you mean the discriminant.
You calculate it by using b^2 - 4ac
a = 2
b = 7
c = -3
So it would be 49 - 4 * 2 * -3
49 + 24
73
A parallelogram has an area of 34.75 square centimeters. If its height is 5 cm, find the
base.
2.5 cm
13.9 cm
6.95 cm
16.25 cm
Answer:
6.95 cm
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
Here A = 34.75 and h = 5, thus
34.75 = 5b ( divide both sides by 5 )
b = 6.95 cm
A forest ranger is on a lookout tower in a forest. His observation tower is 214.7 feet above the
ground when he spots an illegal forest fire. The angle of elevation from the fire to the top of
the lookout is 78 degrees. Find the distance between the base of the tower and the fire. Round
your answer to the nearest tenth (you do not have to include units in you answer)
Let x represent distance between the base of the tower and the fire.
We have been given that a forest forest ranger is on a lookout tower in a forest. His observation tower is 214.7 feet above the ground when he spots an illegal forest fire. The angle of elevation from the fire to the top of the lookout is 78 degrees.
To find the distance between the base of the tower and the fire, we will use trigonometric ratio.
First of all, we will draw a right triangle using our given information as shown in the attached image.
We can see that x is adjacent side and 214.7 is opposite side to angle 78 of degrees.
[tex]\tan=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\tan(78^{\circ})=\frac{214.7}{x}[/tex]
[tex]x=\frac{214.7}{\tan(78^{\circ})}[/tex]
[tex]x=\frac{214.7}{4.704630109478}[/tex]
[tex]x=45.63589379[/tex]
Upon rounding to nearest tenth, we will get:
[tex]x\approx 45.6[/tex]
Therefore, the distance between the base of the tower and the fire is approximately 45.6 feet.
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)?
Answer:
-x² + x - 1
Step-by-step explanation:
(f/g)(x) means that you have to divide f(x) by g(x).
[tex]\frac{x^4-x^3+x^2}{-x^2}\\ -x^2+x-1[/tex]
When dividing exponents with the same base, you have to subtract the exponents to find the quotient.
When dividing with negatives, you have to switch the sign of the other number.
tony goes to the funfair and has one go at hoopla and one go on the darts the probability he wins hoopla is 0.3.
The probability he wis darts is 0.4
A)complate the tree diagram
B)work out the proberbility he wins both games
C)work out the probability he wins 1 of the 2 games
Answer:
b=0.12
c=0.46
Step-by-step explanation: