Answer:
w = 1/2
Step-by-step explanation:
One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.
log b (a) = c
b^c = a
By plugging in the numbers we get this:
log 16 (4) = w
16^w = 4
w = 1/2
Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________
Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.
Answer:
6
Step-by-step explanation:
iuiiiiuiuiuuuiuuuuuuuiuuuuii
What is the value of logg 8?
Answer:
The value of log 8 is 0.9030
Step-by-step explanation:
To find:
Value of log 8
Solution:
Let we take,
x=log8
x=log (2)^3
x=3log2
x=3*0.3010
x=0.9030
Hence, the value of log 8 is 0.90.
Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4
Answer:
(3 x 4) - 1 and 3 x 4 - 1
Step-by-step explanation:
Hope this helps!
Hector puts together two tables to make a long table for a class picnic.
One table is 7 feet 7 inches long. The other table is 6 feet 9 inches long.
What is the total length of the two tables?
Answer: 14 feet 4 inches
Step-by-step explanation:
Given: The length of the first table = 7 feet 7 inches
The length of the second table = 6 feet 9 inches
The total length of two tables = 7 feet 7 inches + 6 feet 9 inches
= (7+6) feet (7+9) inches
=13 feet 16 inches
Since 1 feet = 12 inches
The total length of two tables = 13 feet+ (12 inches +4 inches)
=13 feet +( 1 feet +4 inches)
= 14 feet 4 inches
Hence, the total length of the two tables = 14 feet 4 inches
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent
Answer:
The percentage in mark up is 503.56%.
Step-by-step explanation:
The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.
In this question:
Cost: 1.49
Change: 8.99 - 1.49 = 7.5
Percentage change:
(7.5*100%)/1.49 = 503.56%.
The percentage in mark up is 503.56%.
Which of the fractions below is closest to zero?
a. 1/2
b. 1/6
c. 1/9
d. 1/12
Answer:
d.) 1/12
Step-by-step explanation:
As it is equal to 0.083 and it is nearest to zero
Answer:
d. 1/12
Step-by-step explanation:
Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.
What is the simplified expression of 14 – 8 + 4 × 11 ÷ 22 + 6 – 11?
Answer:
your answer will be 3
Step-by-step explanation:
fine the Value of t in the equation
Answer:
14.4
Step-by-step explanation:
6 x (t1/3 + t1/2) = 12(6)
2t + 3t = 72
5t = 72 /5
t= 14.4
A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?
Im im baby need help give crayons for answer 1+1=????
Answer:1+1=2
Step-by-step explanation:
Yeah Bio
Pls Help will give brainliest
2) The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given determine a unique triangle (one triangle), determine more than one triangle, or cannot make a triangle. Explain how you know this.
a) 3 in., 6 in., 10 in.
b) 40°, 65°, 75
f(x)=(-3^x+12)-2 what is the domain, range, x and y intercepts and vertical and horizontal asymptotes.
please help me(i'm not smart so i don't get this at all T-T)
Answer:
Step-by-step explanation:
6x4=24+1=25 75/25=3 .
oh and btw go back to high school
12 pieces ! ( > < )
for future reference, this will be a lot easier to do than using points !! so simple :))
use your calculator to divide the large number by the small number !! that should give your answer
and remember if a fraction is out of four think of it like quarters or 25 cents :3
so 75 divided by 6.25 is 12 !!
good job !!! ♡♡
by how much is 68,72,526 less than a crore?
Answer:
10000000 - 6872536 = 3127474
Hence 68,72,536 is 31,27,474 less than 1,00,00,000.
Mai wants to buy a pair of jeans at the mall. The jeans cost $35.00. She has a coupon for that store. She pays $28.00 for the jeans. What was the percent of her discount?
9514 1404 393
Answer:
20%
Step-by-step explanation:
The discount was $35 -28 = $7. As a percentage of the original price, that is ...
$7/$35 × 100% = 20%
Mai's coupon was for a 20% discount.
What is the area of this shape
Answer:
252
Step-by-step explanation:
60+61+11
The sum of two numbers is 92. Their difference is 20. Find the two numbers?
Answer: sum: 51 + -31 = 20
Step-by-step explanation: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 20. In other words, x plus y equals 20 and can be written as equation A:
x + y = 20
The difference between x and y is 92. In other words, x minus y equals 92 and can be written as equation B:
x - y = 92
Now solve equation B for x to get the revised equation B:
x - y = 92
x = 92 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 20
92 + y + y = 20
92 + 2y = 20
2y = -72
y = -36
Now we know y is -36. Which means that we can substitute y for -36 in equation A and solve for x:
x + y = 20
x + -36 = 20
X = 56
Summary: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Answer: 56 and -36 as proven here:
Find the value of x in the triangle shown below 6 2
Which equation shows x^2+6x-2 = 0 rewritten by completing the square?
A. (x+3)^2=18
B. (x+3)^2-11
C. (x+3)^2-2
D. (X+3)^2-9
Answer:
Option B.
Step-by-step explanation:
We have the equation:
x^2 + 6*x - 2 = 0
Remember that:
(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2
Because the term with x^2 has a coefficient equal to 1, then a = 1.
(x + b)^2 = x^2 + 2*b*x + b^2
The ter with x is: 6*x
then:
2*b*x = 6*X
2*b = 6
b = 6/2 = 3
we have:
(x + 3)^2 = x^2 + 6*x + 9
Now, our equation is:
x^2 + 6*x - 2 = 0
Now we can add the term (11 - 11) = 0
x^2 + 6*x - 2 + (11 - 11) = 0
x^2 + 6*x - 2 + 11 - 11 = 0
x^2 + 6*x + (11 - 2) - 11 = 0
x^2 + 6*x + 9 - 11 = 0
And we know that:
x^2 + 6*x + 9 = (x + 3)^2
Then we can rewrite our equation as:
(x + 3)^2 - 11 = 0
Then the correct option is B.
The equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.
To rewrite the equation x² + 6x - 2 = 0 by completing the square, we need to follow these steps:
Move the constant term (-2) to the other side of the equation:
x² + 6x = 2
Take half of the coefficient of x (which is 6) and square it. Add the result to both sides of the equation:
x² + 6x + (6/2)² = 2 + (6/2)²
x² + 6x + 9 = 2 + 9
x² + 6x + 9 = 11
Now, let's look at the answer choices:
A. (x+3)² = 18
B. (x+3)² - 11
C. (x+3)² - 2
D. (x+3)² - 9
Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.
To know more about equation:
https://brainly.com/question/29657983
#SPJ6
Two groups of school children had their forearm lengths measured. Dot plots are provided showing these results.
a
Group Y. There were 6 children who had a forearm length that measured longer than 12 inches.
b
Group X. There were 4 children who had the lowest forearm length of 10 inches in this group.
c
Group X. None of the children in this group had a forearm length longer than 12 inches.
d
Group Y. One child in this group had the smallest forearm length of 10 inches.
Answer:
Stament a, b, and c are correct.
Statement d is INCORRECT.
Step-by-step explanation:
Based on the dot plots given, the following statements are true and correct:
✔️Statement A is correct
Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.
✔️Statement b is correct:
Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.
✔️Statement c is correct:
Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.
❌Statement d is NOT CORRECT
Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
I need to know how to solve for this.
9514 1404 393
Answer:
use the rules of exponents
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Applying these to the left-side expression, we can simplify it so it looks like the right side expression.
[tex]\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}[/tex]
If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.
PLEASE HELP!!!!!!!!!!
Answer:
Total interest you will pay is $103.07.
The total you will pay for interest and loan amount is $749.07
iStep-by-step explanation:
Question 20(Multiple Choice Worth 2 points) (01.02 LC) Which number has a 9 that is one tenth the value of the 9 in 296? 195 409 981 1,956 NO LINKS HELP ASAP
Answer:
409 i would say
Step-by-step explanation:
very sorry is its wrong!!! :(
Answer:
prob d im guessing :^)
Step-by-step explanation:
tell me if i got it right or wrong i will fix if needed
5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.
() Find the equation of the line passing through
A and B
Given that the line y = x+1 cuts the line AB at
the point M, find
(ii) the coordinates of M,
(in) the equation of the line which passes
through Mand is parallel to the -axis,
(iv) the equation of the line which passes through
Mand is parallel to the y-axis.
In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each point using values of rr such that r≥0 and values of θ such that 0≤θ<2π. Visually check your answers to ensure they make sense.
(x,y)=(2,5) corresponds to (r,θ)=
(x,y)=(−3,3) corresponds to (r,θ)=
(x,y)=(−5,−3.5) corresponds to (r,θ)=
(x,y)=(0,−5.4)corresponds to (r,θ)=
Step-by-step explanation:
We have cartisean points. We are trying to find polar points.
We can find r by applying the pythagorean theorem to the x value and y values.
[tex]r {}^{2} = {x}^{2} + {y}^{2} [/tex]
And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.
[tex] \tan(x) = \frac{y}{x} [/tex]
Remeber since we are trying to find the angle measure, use inverse tan function
[tex] \tan {}^{ - 1} ( \frac{y}{x} ) = [/tex]
Answers For 2,5
[tex] {2}^{2} + {5}^{2} = \sqrt{29} = 5.4[/tex]
So r=sqr root of 29
[tex] \tan {}^{ - 1} ( \frac{5}{2} ) = 68[/tex]
So the answer is (sqr root of 29,68).
For -3,3
[tex] { -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2} [/tex]
[tex] \tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45[/tex]
Use the identity
[tex] \tan(x) = \tan(x + \pi) [/tex]
So that means
[tex] \tan(x) = 135[/tex]
So our points are
(3 times sqr root of 2, 135)
For 5,-3.5
[tex] {5}^{2} + {3.5}^{2} = \sqrt{37.25} [/tex]
[tex] \tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35[/tex]
So our points are (sqr root of 37.25, 35)
For (0,-5.4)
[tex] {0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4[/tex]
So r=5.4
[tex] \tan {}^{ - 1} (0) = undefined[/tex]
So our points are (5.4, undefined)
A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.
Answer:
B. Yes, all the conditions are met.
Step-by-step explanation:
According to the question
There is a random sample of 111 people also these people are independent
The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size
And, the number of success in the sample is 93
So, the number of failure would be
= 111 - 93
= 18
So, the 93 and 18 would be higher than 10
Therefore, the option b is correct
Anyone who know what the answer please please?!
Answer:
x = 26.4°
Step-by-step explanation:
Defence angle = x
Side length Opposite to reference angle = 4
Hypotenuse length = 9
Apply trigonometric ratio, SOH. Thus:
Sin x = Opp/Hyp
Sin x = 4/9
[tex] x = sin^{-1}(\frac{4}{9} [/tex]
x = 26.3878° = 26.4° (nearest tenth)
A tabletop in the shape of a trapezoid has an area of 7,701 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 85 centimeters. What is the height?
Second attempt, please just give me the answer :p
Answer:
75.5 cm
Step-by-step explanation:
S = (a+b)*h/2
h = 2 * S / (a+b) = 2 * 7701 / 204 = 75.5 cm