Given:
The given expression is:
[tex]\log_44[/tex]
To find:
The simplified value for the given expression.
Solution:
According to the property of logarithm,
[tex]log_aa=1[/tex]
We have,
[tex]\log_44[/tex]
Here, the base of the logarithm is 4 and the value inside the log is also 4, since these two values are same therefore the value of this expression is 1 by using the above property of logarithm.
[tex]\log_44=1[/tex]
Hence, the correct option is D.
By evaluating log4 4 without a calculator, we discover that it is equal to 1.
Gabriella is flying a kite, holding her hands a distance of 3.75 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 36^{\circ}
∘
. If the string from the kite to her hand is 140 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
the answer is 86ft
Step-by-step explanation:
The height of the kite above the ground is 86 feet.
Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.
Let h represent the height of the kite. Hence, using trigonometric ratios:
sin(36) = h / 140
h = 82.28 feet
Kite height above ground = 3.75 + 82.28 = 86 feet
Therefore the height of the kite above the ground is 86 feet.
Find out more at: https://brainly.com/question/20418073
The graphs below have the same shape. What is the equation of the red
graph?
5
Answer:
A is ur answer
I need helppp:(((((((
Answer:
1= e
2= c
Step-by-step explanation:
PLEASE HELP!!! Between which two consecutive integers is the value of x?
c). (x/3)^3=124
d). (x/2 -1)^3=25
Please write your answer like
__
THHANK YOU
Answer:
c). 14 < x < 15
d). 7 < x < 8
Step-by-step explanation:
c). (x/3)^3 = 124
Take the cube root of both sides
x/3 = 4.986630952238646
multiply both sides by 3
x = 14.959892856715938
14 < x < 15
-----------------------------
d). (x/2 - 1)^3 = 25
Take the cube root of both sides
x/2 - 1 = 2.924017738212866
Add 1 to both sides
x/2 = 3.924017738212866
multiply both sides by 2
x = 7.848035476425732
7 < x < 8
Use
5 ft
10 ft
30 ft
What is the volume of the rectangular prism? Enter the answer in the box.
ft3
Answer:
1500 ft^3
Step-by-step explaxition
To find the volume of rectangular prism the formual is L*W*H. So you do 5 times 10 times 30 to get 1500 ft^3
Which blood type was donated by the largest percent of people?
Percent of Blood Types Donated
martino
Springfield
A-
9 °
05% 9% 19% 20% 25% 30% 35% 40% 46% 55
List the angles in order from the largest to the smallest.
A. 25 B. 18 C.12
A. ∠C, ∠B, ∠A
B. ∠A, ∠C, ∠B
C. ∠C, ∠A, ∠B
D. ∠A, ∠B, ∠C
Answer:
D is the answer
Step-by-step explanation:
Help me find the answer please I already know how to do it but we usually use the formula for two bases but this is confusing me because of the third number:((((
Answer:
7.5
Step-by-step explanation:
You will use the 2.5 not the 3 as height.
Area of trapezoid=( A+b/2)*h
(2+4/2)*2.5
(6/2)*2.5
3*2.5
7.5
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
x <3
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Distribute
-10 +8x < 6x-4
Subtract 6x from each side
-10+8x-6x < 6x-6x-4
-10 +2x < -4
Add 10 to each side
-10+2x+10 < -4+10
2x< 6
Divide by 2
2x/2 < 6/2
x <3
25 points!! Question #2 Line I passes through the points (-4.-7) and (23) on the coordinate plane Line m passess through the points (-4,1) and (2,w). For what value of w is line m parallel to line I
11
-3
4
1
Answer:
it will be -3
Step-by-step explanation:
[tex]\green{hello} [/tex]
-3 is the correct option
Hello can someone please tell me what the answer to this is
can someone help me with this?
(b) Evaluate (6.3 x 10^6)+ (9 x 10^2).
0=x^(2)+2x-3 Solve using Quadratic Formula
Answer:
Step-by-step explanation:
x^2 + 2x - 3 =0
x^2 + 3x - x -3 = 0
(x) x (x+3) - (x + 3) = 0
(x+3) x (x-1) = 0
x+3=0
x-1=0
x=-3
x=3
x1 =-3, x2 = 1
Answer:
[tex]x=1,\\x=-3[/tex]
Step-by-step explanation:
The quadratic formula is given by [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where [tex]x[/tex] represents both real and nonreal solutions to a quadratic in standard form [tex]ax^2+bx+c[/tex].
Thus, with the given quadratic [tex]x^2+2x-3[/tex], we can assign values:
[tex]a=1[/tex][tex]b=2[/tex] [tex]c=-3[/tex]Substituting in these values to the quadratic formula, we have:
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(-3)}}{2(1)}, \\\\x=\frac{-2\pm\sqrt{16}}{2},\\\\x=\frac{-2\pm 4}{2},\\\\\begin{cases}x=\frac{-2+4}{2},x=\frac{2}{2}=\boxed{1}\\x=\frac{-2-4}{2},x=\frac{-6}{2}=\boxed{-3}\end{cases}[/tex]
Verify by factoring:
[tex]x^2+2x-3=0,\\(x+3)(x-1)=0,\\\begin{cases}x+3=0,x=\boxed{-3}\:\checkmark\\x-1=0,x=\boxed{1}\:\checkmark\end{cases}[/tex]
5. What is the value of x?
A. 36
B. 12
C. 32
D. 28
Answer:
the value of X is 12 .........
2x = 4y + 8, x - 2y = 4
Answer: x = 8, y = 2, coordinates (8,2)
Step-by-step explanation:
2x = 4y + 8 (divide by 2 to get value of x)
x = 2y + 4
(now substitute x into the second equation to find value of y)
2y + 4 - 2y = 4
2y - 2y = 4 - 4 (divide by 2 to get value of y)
y - y = 2 - 2
y = 2
Now plug in value of "y" to get value of "x".
x - 2(2) = 4
x - 4 = 4
x = 8
Coordinates (8,2)
PLLEASEEE HELPPP!!! ILL BRAINLIST.
2) Using Pythagoras’ Theorem, which is the correct statement (A, B or C)
that describes the relationship between the three side lengths in this
triangle? Explain your choice.
A 262 = x2 + 242 B 242 = x2 + 262 C x2 = 242 + 262
Answer:
The answer is most likely C.
Step-by-step explanation:
Using the Pythagoras' Theorem, c^2 = a^2 + b^2
I'm not sure if 242 and 262 were 24^2 and 26^2 respectively but I'm using 24^2 and 26^2 for this answer.
The c^2 is in fact x^2 where x is the hypotenuse.
However, the answer could be A if x has to be whole number. In this case, x^2 + 24^2 = 26^2
x^2 = 26^2 - 24^2 = 100
x = sqrt (100) = 10
Can someone help me with this algebra question
Answer:
Step-by-step explanation:
4x^2+120x
4x^2+120x=0
4x^2=-120x
4x^2/x=-120
4x=-120
x=-120/4
x=-30
8. An car can hold 8 1/4 gallons of fuel. It contains 4 5/6 gallons of fuel. How
much more fuel is needed to fill the car?
Answer:
3 5/12
Step-by-step explanation:
Answer:
41/12 gallons
= 3 5/12 gallons
Step-by-step explanation:
Since it can hold 8 1/4 gallons and currently has 4 5/6 gallons, you subtract.
You need to get the common denominator to subtract cleanly so we can turn the fractions into improper fractions.
8 1/4 = 33/4 because 8 is equal to 8 full 4/4ths so multiply 8 by 4 and add 1 for the remaining 1/4.
Then 4 5/6 becomes 29/6 with the same concept earlier.
So we can change the denominator to 12 on both fractions (33/4 and 29/6) so we can subtract.
33/4 becomes 99/12 because they are still equivalent, it's just that you multiplied the top and bottom by the same number.
29/6 becomes 58/12 because we multiplied the fraction by 2/2.
Those two new fractions stated previously are the same as the original because we multiplied them by 1/1, because 3/3 and 2/2 is still equal to 1/1, and the new fractions can be simplified down to the original.
Since we have 99/12 and 58/12, we can subtract cleanly into
99 - 58 = 41
So the answer is 41/12
In the triangle below, find the value of a/// Please help!
Answer:
a= 45
Step-by-step explanation:
all angles equal 180 degrees so you take the angle given which is 45 and the other which is a right angle, or 90 degrees and subtract 45 from 90 and you get 45 so a = 45 and you add up 45 + 45 + 90 thats 180!
Which of the following is an example of the compliment rule being applied to
mutally exclusive events?
O A. The probability of rolling a 4 or 7 on a die.
B. The probability of not drawing a club or jack from a deck of cards.
C. The probability of not rolling a 4 or 7 on a die.
O D. The probability of drawing a club or jack from a deck of cards.
Answer:
Hello There!!
Step-by-step explanation:
I think the answer is B. The probability of not drawing a club or jack from a deck of cards.
hope this helps,have a great day!!
~Pinky~
Step-by-step explanation:
C. The probability of not rolling a 4 or 7 on a die
WILL MARK BRAINLIEST IF CORRECT !!!
Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
Step-by-step explanation:
If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:
Original statement: The grass is wet because it was raining.
Contrapositive statement: It was not raining, so the grass is not wet.
Notice how we "flipped" the original sentence around, as wrote it's "opposite".
Tom makes a 8% commission on the sale of all the cars that he sells. He sells $140,000 worth of cars this month. What is the commission for the month?
Answer:
$11,200
Step-by-step explanation:
Just multiply the percent times the total
8% * 140000 = .08 * 140000 = 11200
Can someone help me solve for X
Step-by-step explanation:
You can apply the power of point to this problem. Essentially, it states that:
[tex]5\cdot12=2\cdot(2+x)\\30=2+x\\x=28[/tex]
What value of y will make the equation true?
Generally the value of y would be 34 because same two square roots of n multiplying each others would equal to n by the definition.
[tex] \large \boxed{ \sqrt{a} \times \sqrt{a} = ( \sqrt{a} )^{2} = a}[/tex]
Although it is easy to predict the solution of y-value, I will be showing you how to solve the radical equation for y-term which will be useful.
[tex] \large \boxed{ \sqrt{a} \times \sqrt{b} = \sqrt{ab} }[/tex]
So from the equation, convert √34 × √y to √34y
[tex] \large{ \sqrt{34} \times \sqrt{y} = 34} \\ \large{ \sqrt{34y} = 34}[/tex]
Then we square both sides to get rid of the square root.
[tex] \large{ {( \sqrt{34y} )}^{2} = {34}^{2} } \\ \large{34y = 1156}[/tex]
Divide both sides by 34 so we can finally isolate the y-term.
[tex] \large{ \frac{34y}{34} = \frac{1156}{34} } \\ \large \boxed{y = 34}[/tex]
Hence the value of y is 34.
Answer
y = 34A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Round two decimal places
Answer:
16.35
Step-by-step explanation:
Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.
First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.
Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get
[tex]\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348[/tex]
Rounding, we get x = 16.35 as our answer
Which value of x is in the domain of f(t) = squared x - 7
O A. x= 8
O B. x = 0
C. x= -3
O D. x = 6
SUBMIT
Given:
The given function is:
[tex]f(x)=\sqrt{x-7}[/tex]
To find:
The value of x that is in the domain.
Solution:
Domain is the set of input values.
We have,
[tex]f(x)=\sqrt{x-7}[/tex]
We know that the square root is defined for non negative values. So,
[tex]x-7\geq 0[/tex]
[tex]x\geq 0+7[/tex]
[tex]x\geq 7[/tex]
Thus, the domain of the given function is all real number that are greater than or equal to 7.
In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, [tex]x=8[/tex] is in the domain of the given function.
Therefore, the correct option is A.
If the a hundred birds on a tree eating your honey and you shoot one, how much bird will be there?
Answer:
100
Step-by-step explanation:
If there are 100 birds on a tree and you shoot 1, that bird is still on the tree. So there are 100 birds.
The principal of a school will distributr money from the schools buget to three sports cricket, track and flirt and netball
I NEED HELP ASAP WITH WORK SHOWN PLEASE GIVE ME AN ANSWER WITH WORK SHOWN Multiple choice questions The answers are 2.26,1.15,2.99,3.41
Step-by-step explanation:
porportional means they scale by the same ratio
L / W = L_1 / W_2 = 5.4 / 2.5 = 6.21 / x
solve for x
Answer:
Not sure but heres the proportional factor.
Step-by-step explanation:
The image is blurry and is hard to make out what the number for width is. However you can find the proportionality factor between the phones by dividing the large phone height by the small phone height. So 6.21in/5.4in, you get 1.15in, this means that the larger phone is 1.15in bigger than the smaller phone. Apply this number to the width and you will find the width of the larger phone since both phones are proportional. So you do width × 1.15 to get the width of the larger phone.
