Final answer:
To solve 0.98 = log x, you determine the number x for which 10 raised to the power of 0.98 equals x. Using a calculator, you find that x is approximately 95.50.
Explanation:
To solve the equation 0.98 = log x, we need to find the value of x such that when you take the common logarithm (base 10) of x, you get 0.98. A common logarithm is a logarithm with base 10, and the equation informs us that x is 10 raised to the power of 0.98 since y = log10(x) can be rewritten as x = 10y.
To find x, we can use the inverse operation of logarithm, which is exponentiation. We can express this process as follows:
x = 100.98
Using a calculator with exponentiation functionality, we enter the value of 0.98 and use the 10x function (sometimes labeled as INV or SHIFT followed by the LOG key).
The result is that x is approximately 95.50 when rounded to the nearest hundredth.
IF YOU HELP ME ILL WILL GIVE YOU BRAINLIST AND 50 PONITS HELP ME PLZZZZZ
Which statement or statements are TRUE?
I. The data distribution is skewed
II. The interquartile range is 6
III. The median is 10
A) I only
B) II only
C) I and II only
D) II and III only
I think the answer is A
Kareem wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is
13 feet and its width is 12
feet. The wallpaper costs $8
for each square foot. How much will wallpaper cost for the wall?
The first step in solving this problem is to compute for the area of the rectangular wall. The formula in computing the area of a rectangle is:
A = LW
Substituting the given measurements in the problem to the formula:
A = 13 (12)
A = 156
Therefore, the area of the wall is 156 square feet. To compute the wallpaper cost of the wall, you have to multiply the cost per square foot to the total area.
$8 per square foot x 156 square feet = $1,248
Therefore, the wallpaper cost for the wall is $1,248
Triangle ABC has vertices at A(4, 7) , B(13, 7) , and C(9, 11) .
Triangle FGH has vertices at F(1, 1) , G(10, 1) , and H(6, 5) .
Which sequence of transformations shows that triangle ABC and triangle FGH are congruent?
Select each correct answer.
A Translate triangle FGH down 6 units, and then translate triangle FGH left 3 units.
B Translate triangle FGH up 6 units, and then translate triangle FGH right 3 units.
C Translate triangle ABC up 6 units, and then translate triangle ABC right 3 units.
D Translate triangle ABC down 6 units, and then translate triangle ABC left 3 units.
The coordinates of the vertices of triangle XYZ are given in the table.
X Y Z
(0, −6) (−10, 4) (3, −1)
Triangle XYZ is reflected across the y-axis.
What are the vertices of triangle X′Y′Z′ ?
Enter your answers in the boxes.
X′ : (
,
)
Y′ : (
,
)
Z′ : (
,
)
The coordinates of the vertices of triangle XYZ are given in the table.
X Y Z
(0, −6) (−10, 4) (3, −1)
Triangle XYZ is reflected across the y-axis.
What are the vertices of triangle X′Y′Z′ ?
Enter your answers in the boxes.
X′ : (
,
)
Y′ : (
,
)
Z′ : (
,
) The coordinates of the vertices of triangle XYZ are given in the table.
X Y Z
(0, −6) (−10, 4) (3, −1)
Triangle XYZ is reflected across the y-axis.
What are the vertices of triangle X′Y′Z′ ?
Enter your answers in the boxes.
X′ : (
,
)
Y′ : (
,
)
Z′ : (
,
)
Lyle deposited a check for $75.26. He’ll use the check register to record his transaction. What will be his new balance?
$896.44
ExplanationRemember that to get the current balance, you subtract all the debits from balance and add all the deposits to it.
We know from our table that the first transaction is medical bill, which is debit, so we are going to subtract the medical bill from the balance to find the balance at that point in time.
Balance = $862.74 - $41.56 = $821.18
We also know that the second transaction is a check deposit for $75.26, so to find the current balance, we just need to add $75.26 to our previous balance.
Current balance = $821.18 + $75.26 = $896.44
Answer:
its B
Step-by-step explanation:
4(5y − 8 − 2) = 185 − 15 solve that pls
What is measure of angle P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
The measure of angle P is 61.93°
Step-by-step explanation:
We are given a right triangle with measures 8 cm, 15 cm and 17 cm.
For angle P, we see that,
Perpendicular = 15 cm
Hypotenuse = 17 cm
Using the trigonometric forms of the angles, we have,
[tex]\sin P=\frac{Perpendicular}{Hypotenuse}[/tex]
i.e. [tex]\sin P=\frac{15}{17}[/tex]
i.e. [tex]\sin P=0.88235[/tex]
i.e. [tex]P=\arcsin 0.88235[/tex]
i.e. P = 61.93°
Hence, the measure of angle P is 61.93°.
solve the system by either elimination or substitution
3x-5y=21
2x+y=1
A.2,-3
B.2,3
C.-2,-1
D.-2,1
My guess is c
Expand the logarithm. log4 (3xyz)^2
Answer:
Answer is (2log2 + 2log3 + 2logx + 2logy + 2logz)
Step-by-step explanation:
log4(3xyz)²
= log4 + log(3xyz)²
= log4 + 2log(3xyz)
= log(2)² + 2[log3 + logx + logy + logz]
= 2log2 + 2log3 + 2logx + 2logy + 2logz
What is the value of x?
The value of x can signify diverse number based on the context it is applied in. For instance, it can be a certain range of values, part of a chemical equation, or the result of a mathematical equation. Therefore, the value of x is determined by the given conditions.
Explanation:The value of x can be discovered through various mathematical processes depending on the context. In the examples given, x was used to denote different values across multiple scenarios.
One situation presented x as a value that ranged from 1.5 to 4.5, indicated by 1.5 ≤ x ≤ 4.5. In another instance, x was determined by the concentration of hydroxide ions in a chemical equation, which resulted in x = 4.0 × 10-³ M. Furthermore, x was also inferred from a quadratic equation where it implied the hydronium concentration.
In summary, the value of x varies based on the mathematical or scientific context it is applied to, and its value must be determined through specified conditions or equations.
Learn more about Value of x here:https://brainly.com/question/35503704
#SPJ5
The number of visitors to a park is expected to follow the function v(x) = 7(x − 1), where x is the number of days since opening. On the first day, there will be a ceremony with 39 people in attendance. What is the function that shows total visitors, including the ceremony?
c(x) = 7(x − 1) − 39
c(x) = 39x − 7
c(x) = 39 − 7(x − 1)
c(x) = 39 + 7(x − 1)
The answer is D. c(x) = 39 + 7(x - 1)
AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 50º.
What is the measure of ∠DQM?
Answer:
Hello! I just completed the quiz :))
Step-by-step explanation:
This is for more confirmation (´｡• ᵕ •｡`) ♡ glad I could help!
Tangent is a straight line that touches the circle at any point on the curve. The measure of ∠DQM in ΔDQM is 40º.
What is a tangent?A tangent is a straight line that touches the circle at any point on the curve. And the angle made by the tangent with radius is always 90°.
We know that line AD is the tangent to circle M, and line MD is the radius of the circle, therefore, the measure of ∠ADM is 90°.
Now, In ΔDQM, the measure of ∠DMQ is 50º, while the measure of ∠MDQ is 90º. therefore, the sum of all the angles of the ΔDQM can be written as,
[tex]\angle DQM + \angle MDQ + \angle DMQ = 180^o\\\\\angle DQM + 90^o + 50^o = 180^o\\\\\angle DQM = 180^o -90^o -50^o\\\\\angle DQM = 40^o[/tex]
Hence, the measure of ∠DQM is 40º.
Learn more about Tangent:
https://brainly.com/question/14022348
The Great Pyramids of Giza, Egypt are dedicated the following pharaohs EXCEPT ___________.
a. Khafre
b. Tutankhamen
c. Khufu
d. Menkaure,
The Great Pyramids of Giza in Egypt are dedicated to Khafre, Khufu, and Menkaure, but not Tutankhamen.
Explanation:The Great Pyramids of Giza in Egypt are dedicated to three pharaohs - Khafre, Khufu, and Menkaure. The pharaoh that is not associated with one of the Great Pyramids is Tutankhamen. Tutankhamen, also known as King Tut, ruled during the 18th dynasty of the New Kingdom but was not part of the Fourth Dynasty that built the pyramids at Giza.
Which expression is equivalent to (x - 6) (2x2 - 3x + 4)? 2x2 - 2x - 2 2x2 - 2x + 4 2x3 - 3x2 + 4x - 6 2x3 - 15x2 + 22x - 24
tan(x+pi/2)= negative cot x
An instructional video is 4.2 minutes long. How long is the video in seconds? How long is it in hours?
Subtract the linear expression: (8x + 5) - (2x- 4)
HOW TO DO THIS? Find value of x
The admission fee at the county fair is $2 for children and $4 for adults. on a certain day, 2000 people enter the fair and $5000 is collected. using c as the variable to represent the number of children and a as the variable for adults, write a system of equations to determine how many children and how many adults attended. note down this system of equations so that you can use it for the next question.
Please show work! Thank you
HELP PLEASE!!?!
5. The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 18 hours. Round your answer to the nearest thousandth.,
https://brainly.com/question/1800343#:~:text=5.%20D)%20y%3D790(1/2)%5E1/78x%3B%20673.233%20kg
A student takes a true-false test that has 12 questions and guesses randomly at each answer. let x be the number of questions answered correctly. find p(x=5)
a. 0.1934
b. 0.2256
c. 0.1208
d. 0.0002
Please help I don’t understand it
The 9 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $225. Solve the equation 9(e + 5) = 225 to find the cost e of the entrance fee for each student. Question options: A) $25 B)$14 C) $45 D) $20
Answer:
The Answer to this question is $20
Step-by-step explanation:
9 x 5 = $45
225 - 45 =180
180/9 =20
Samantha’s younger brother just turned 3 years old. Fred’s brother is now 30 months old. Who brother is older? Explain
Write the quadratic equation y= x^2 -6x + 7 in vertex form
Wally buys nine books that coast $19.50 apiece. How much does Wally spend?
List the angles of triangle DEF in order from smallest to largest measure if DE = 7, EF = 9, and DF = 3.
∠D, ∠E, ∠F
∠E, ∠F, ∠D
∠F, ∠E, ∠D
∠D, ∠F, ∠E
What number is 32% of 75?
Which of the following equations could be used to solve the problem?
n = 0.32(75)
0.32n = 75
n = 75 ÷ 0.32
This is just a reassurance question It's
n = 75 ÷ 0.32 Right?,
10 POINTS + BRAINLIEST ANSWER!!
Given the right triangle PQR below, which of the following is equal to y/x?
A. cos P
B. cos Q
C. tan P
D. tan Q
The value of tan P = y /x , Option C is the right answer.
What is a Right Angled Triangle ?A triangle in which one of the sides is 90 degree is called a Right angled Triangle.
A right angled Triangle is given in the question
The sides of the triangle is x and y
The trigonometric ratios are given and it has to be determined that x/ y represents which one of the given option.
The value of tan x = Perpendicular / Base
y/ x = Perpendicular / Base for angle P
Therefore , The value of tan P = y /x , Option C is the right answer.
To know more about Right angled Triangle
https://brainly.com/question/3770177
#SPJ2
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
8. Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale. EXPLAIN HOW YOU GOT THE ANSWER OR YOU DONT GET THE BRAINLIEST
The value of x in the triangle using the principle of Pythagoras is 2879.4 meters
Given the right angle triangle :
The angle of elevation = 10°Opposite side = 500 mx = hypotenusRecall :
SOHCAHTOAUsing the relation :
Sin θ = opposite / hypotenus
Sin 10° = 500 / x
Cross multiply :
x(sin 10°) = 500
0.1736481x = 500
x = 500 / 0.1736481
x = 2879.39 meters
Therefore, the value of x in the triangle is 2879.4 meters.
Learn more :https://brainly.com/question/3770177?referrer=searchResults
Answer: 2879.39 meters
Step-by-step explanation: