solve this please
log(4x+16)=2
Answer:
X = -3.5
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
4x+16=2
-16 -16
4x= 2-16
4x=-14
/4 /4
x= -7/2
What is the equation of the line that passes through the point ( -1, 1) and is perpendicular to 2x + 4y = 16?
A. y = −2x − 1
B. y − 3 = 2x
C. y = 6x + 7
D. Cannot be determined
Answer:
B
Step-by-step explanation:
We want the equation of the line that passes through the point (-1, 1) and is perpendicular to:
[tex]2x +4y=16[/tex]
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
So, let's find the slope of the original line first. We can do so by converting it to slope-intercept form. Thus:
[tex]4y=-2x+16[/tex]
Therefore:
[tex]\displaystyle y=-\frac{1}{2}x+4[/tex]
The slope is -1/2.
The negative reciprocal of -1/2 is 2.
Thus, the slope of our new line is 2.
The slope is 2 and it passes through the point (-1, 1).
We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute:
[tex]y-(1)=2(x-(-1))[/tex]
Distribute:
[tex]y-1=2x+2[/tex]
Subtracting 2 from both sides yields:
[tex]y-3=2x[/tex]
Therefore, our answer is B.
a cylinder has height of 12 and a diameter of 10 find the volome
Answer:
942.48
Step-by-step explanation:
V=πr^2h=π·5^2·12≈942.4778
A shark is swimming 42 feet below sea level. If the angle of depression from a boat on the water to the shark is 23°, what is the horizontal distance between the boat and the shark? Show your work to receive full credit. Round to the nearest hundredth if necessary.
Answer:
BC ≈ 98.95 feet
Step-by-step explanation:
From the figure attached,
A shark is swimming 42 feet below sea level at point A and a boat on the water is at point C.
If the angle of depression from the coat to shark is 23°,
tan(23°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(23°) = [tex]\frac{AB}{BC}[/tex]
BC = [tex]\frac{AB}{\text{tan}(23)}[/tex]
BC = [tex]\frac{42}{\text{tan}23}[/tex]
BC = 98.947
BC ≈ 98.95 feet
A student answered 63 problems on a test correctly and received a grade of 70%. How many problems were on the test, if all the problems were worth the same number of points?
Total no. of problems= x
No of questions answered correctly= 63
Percentage = 70%
A/q,
70/100*x= 63
x= 63*100/70
x= 90
There were 90 questions in the test.
Hope it helps you.
My mother purchased 8 Pepsi products at Bi-Lo for $14.00. What is the price per
product?
Answer:
1.75 per product
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
You would multiply 8 by 14 dollars because your finding the price per product Pepsi bottle so your answer would be 112 dollars.
hi what is 24/30 simplified to
Answer:
12/15 or .8
Step-by-step explanation:
So first you divide both the numerator and denominator by 2 because it’s the biggest number that goes into both 24 and 30
24 and 30 simplified by 2 gives us 12 and 15
you can’t simplify any further so your answer is 12/15
If you want a decimal, then you divide 24 by 30 and your answer is .8
Someone help me (10 points each person)
Answer:
x=56
Step-by-step explanation:
Alternate exterior angles are congruent if the lines crossed by the transversal are parallel (which they are).
Answer:
56
Step-by-step explanation:
It would also be 56 degrees because if both 360 degree angles are parallel to each other and if each of the 360 degree angles had two top and bottom 180 degree angles and if 56 was subtracted to 180 you would get 124 and when you plus that with 56, you get 180 so if that is true for all 4 180 degree angles in this problem, then X would equal 56 no doubt.
A bag contains 77 coins consisting of quarters and nickels. The total value of the coins is $12.50. Write a system of equations that can be used to determine the number of quarters, x, and the number of nickels, y, in the bag. a x + y = 77 0.25x + 0.5y = 12.5 b 0.25x +0.5 y = 77 x + y = 12.5 c x + y = 77 0.25x + 0.05y = 12.5 d 0.25x + 0.05y =77 x + y = 12.5
Answer:
A
Step-by-step explanation:
because the answer needs both amounts of money and the beginning equation x + y = 77 can't have any other numbers.
could someone please help and fast
Answer:
x=48 degrees
Step-by-step explanation:
hope this helps :D
Answer:
x=162°
Step-by-step explanation:
interior angle of B= 180-75= 105°
interior angle of E=180-123=57°
105+57=162°
x=162°
Tyler finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the square cutouts used to make it. This is the graph Tyler gets if he allows x to take on any value between -1 and 7.
What is the approximate maximum volume for his box?
Answer:
Step-by-step explanation:
Domain: 0<x<3.5
To get 3.5: 7/2=3.5
Negatives and decimals can't be used
Approximate maximum volume for this box? 55
The proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.
It is required to find the approximate maximum volume for his box.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
Given:
From the attached graph (see attachment), we have the following observations:
1.The x values starts from -1 and ends at 60
2.The domain of the graph is from 0 to 4 (i.e. x-values 0 to 4 have corresponding y-values on the graph)
3.x-values 0 to 3.5 have corresponding non-negative y-values
4.Other values of x have corresponding negative y-values
5.The maximum of the graph is at y = 60
Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.
Hence, the proper domain of Noah's graph should be 0 to 3.5 and the maximum of the graph is at y = 60.
Learn more about co-ordinate geometry here:
brainly.com/question/21713105
#SPJ2
Tracy walked for 3 1/2 miles . How many feet did she walk ?
Answer:
18,480 feet
Step-by-step explanation:
Answer
18480
Step-by-step explanation
im smart
Help ASAP pls I’m not sure if it is -10 or -5
Answer:
-10
Step-by-step explanation:
A cinema has 300 seats. 60% are filled. How many are empty? i will give brainliest
Answer:
120 seats
Step-by-step explanation:
Total seats in the hall = 300
Percentage of filled seats = 60 %
Number of seats filled = (60 / 100) 300
= 60 * 3
= 180
Therefore, number of empty seats = 300 - 180
= 120
Hope it helps :)
Please mark my answer as the brainliest
two angles of a triangle measure 67 degrees and 90 degrees what is the measure of the third angle?
23
.
.
.
.
.
.
.
I hope it's helpful for you dude
Answer:23
Step-by-step explanation:
what is true about the line x-4y=8
PLEASE HELP ME WRITE A EQUATION FOR THIS! I WOULD REALLY APPRECIATE IT!
Answer:
y= -x-1
Step-by-step explanation:
What is 2(5 to the second power) +3(5) - 12
Answer:
53
Step-by-step explanation:
Markus buys an old bike for £50. He cleans it up and sells it for £60. What is his percentage profit?
0.583
What is it in standard form
Answer:
It should be 583*10^-3
Drag each number to the correct location on the table.
Classify each number according to its value.
3.2 x 105
1.9 x 101
2.2 x 10
2.4 x 10°
5.9 x 102
6.1 x 10
2.5 x 104
Greater than 2.4 x 104
Between 1.2 x 102
and 2.4 x 104
Less than 1.2 x 102
Answer:
3.2 x 10^5 goes in greater than 2.4 x 10^4
1.9 x 10^-1 goes in less than 1.2 x 10^2
2.2 x 10 goes in less than 1.2 x 10^2
2.4 x 10^3 goes in between 1.2 x 10^2 and 2.4 x 10^4
5.9 x 10^2 goes in between 1.2 x 10^2 and 2.4 x 10^4
6.1 x 10 goes in less than 1.2 x 10^2
2.5 x 10^4 goes in greater than 2.4 x 10^4
Step-by-step explanation:
First let's find out what 2.4 x 10^4 and 1.2 x 10^2 is.
2.4 x 10^4 = 24000
1.2 x 10^2 = 120
3.2 x 10^5 is obviously greater than 2.4 x 10^4 because the exponent of ten in 3.2 x 10^5 is one more value than the exponent in 2.4 x 10^4. The decimal is also greater.
1.9 x 10^-1 = .19, which is less than 1.2 x 10^2
2.2 x 10 = 22, less than 1.2 x 10^2
2.4 x 10^3 = 2400, in between 1.2 x 10^2 and 2.4 x 10^4
5.9 x 10^2 = 590, in between 1.2 x 10^2 and 2.4 x 10^4
6.1 x 10 = 61, less than 1.2 x 10^2
2.5 x 10^4 we can solve without doing the math, 2.5 is greater than 2.4 meaning the product will be greater, to check I did the math 2.5 x 10^4 = 25000, greater than 2.4 x 10^4
P.S Next time right ^ before the exponents, so we know they are exponents
y= x + 1
y= -x + 5
what's the answer pls I need it asap
Answer:
X= 2 and y = 3
Step-by-step explanation:
Please help! I need help
Answer:
median is 32 and the mean is 21
Does (0, 0) make the equation y = 9x − 5 true?
Answer:
no
Step-by-step explanation:
y = 9x − 5
The point (0,0) means x=0 and y=0
Substitute this into the equation and see it is true
0 = 9*0 -5
0 = 0-5
0 = -5
This is not true so the point is not a solution.
A garden is going to be built in the city park in the shape of a parallelogram with a rectangular walkway through it. The garden region is shown below. Find the area of the garden region by finding the areas of the individual shapes shown in the figure. 78 ft 72 ft 30 ft 20 ft Answer:
Answer:
328
Step-by-step explanation:
30+30=60 +(78 +78) = 216 + 72= 288 + (20+20) = 328
Answer:
The answer is 328
Step-by-step explanation:
I took the test an explenation is exactly like the other comment said, you add the sides up and bam.
Also, Stay Safe, SS. ps. Dont cough or sneeze on other people, wear your mask in populated areas, and sanitize. <3Josiah invested $7,800 in an account paying an interest rate of 8 7/8% compounded
continuously. Faith invested $7,800 in an account paying an interest rate of 8 3/4%
compounded quarterly. After 9 years, how much more money would Josiah have in
his account than Faith, to the nearest dollar?
Answer:
$339
Step-by-step explanation:
Answer:
$339
Step-by-step explanation:
Please I Need Help
I'm stuck on this question ⁉️
Answer:
greater than
Step-by-step explanation:
Please forgive me if wrong
Genevieve deposited $400 into her bank account. The equation A(t) = 400(1.07) can be used to calcula
the value of her money after t years. What is the annual interest rate she is earning on her deposit?
0.07%
1.07%
7%
O
107%
Answer: 7%
Step-by-step explanation: I did the test.
How do I solve 5x(3x2 + 2x - 1)
Answer:
10x+25
Step-by-step explanation:
Question 4 0
A two-sample t-test for a difference in means was conducted to investigate whether defensive players on a football team can bench-press more weight, on average, than
offensive players. The conditions for inference were met, and the test produced a test statistic of t = 1.083 and a p-value of 0.15.
Based on the p-value and a significance level of a = 0.05, which of the following is the correct conclusion?
Submit
Reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average, than
offensive players.
B
Reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average, than
offensive players
с
Fail to reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average,
than offensive players,
D
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average,
than offensive players
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press the same amount of weight,
on average, as offensive players.
Answer:
Fail to reject the null hypothesis because 0.15>0.05
. There is not convincing evidence that defensive players can bench-press more weight, on average, than offensive players.
Step-by-step explanation:
Since P>a we can not reject the null hypothesis. We cannot conclude the alternative hypothesis in context.