Answer: where is the picture?
2logx= log 16 + log 4 find the value of x
Step-by-step explanation:
the rules of logarithm.
log(a×b) = log(a) + log(b)
log(a^b) = b×log(a)
2×log(x) = log(16) + log(4)
now, using the above knowledge :
log(x²) = log(16×4)
=>
x² = 16×4 = 64
x = ±8
and since a logarithm of a negative number is undefined the only plausible solution is
x = 8
What is the area of the figure at the right explain how you found your answer
Answer:
You have a photo to show the work?
Step-by-step explanation:
What is John and Linda paid each hour
Use technology to find the P-value for the hypothesis test described below
The claim is that for 12 AM body temperatures, the mean is > 98.6°F. The sample size is n = 3 and the test statistic is t=2.446
P-value = (Round to three decimal places as needed)
Answer: C
Step-by-step explanation:
Hope it help
a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?
Answer:
400 bushels of the 15%
600 bushels of the 10%
Step-by-step explanation:
x bushels of the 15% plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%
15x + 10(1000 - x) = 12(1000)
distribute
15x + 10000 - 10x = 12000
Combine like terms
5x = 2000
Divide both sides by 5
x = 400 bushels of the 15%
1000 - x = 600 bushels of the 10%
The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.
Let x be the bushels.
One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.
The linear equation can be framed:
15x + 10(1000 - x) = 12(1000)
By using the distributive property:
15x + 10000 - 10x = 12000
5x = 2000 (combine like terms)
x = 400 bushels of the 15%
= 1000 - x
= 1000 - 400
= 600 bushels of the 10%
Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.
Using Venn probabilities, it is found that there is a 0.08 = 8% probability that the customer only likes iced coffee.
In this problem, the events are:
Event H: Liking hot coffee.Event I: Liking iced coffee.The probability of only liking iced coffee is:
[tex]P(I \cap H^c) = P(I) - P(I \cap H)[/tex]
30% like iced coffee, hence [tex]P(I) = 0.3[/tex].22% like both hot and iced coffee, hence [tex]P(I \cap H) = 0.22[/tex]Then:
[tex]P(I \cap H^c) = P(I) - P(I \cap H) = 0.3 - 0.22 = 0.08[/tex]
0.08 = 8% probability that the customer only likes iced coffee.
A similar problem is given at https://brainly.com/question/24707032
If F=(-3)
Find: F(x)=4x^2-5
Answers:
-41
31
29
None of the Above
Answer:
31
Step-by-step explanation:
as we put the value of X in the function it gives 3
Anyone able to help?!
[tex]\cos \theta = \dfrac 12\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}3\\\\\text{For n =0 ~ \text{and}~ n=1}\\\\\\\theta = \dfrac{\pi}3 , \dfrac{5\pi}{3}\\\\\text{In degrees,}\\\\\theta = 60^{\circ} , ~ 300^{\circ}[/tex]
C D
Given: r is inversely proportional to s. If r = 16 when s = 3, then write the formula for the relation between r and s.
a. r=s/48
C. r=s/16
b. r= 48/s
d. r= 16/s
Please select the best answer from the choices provided
A
B
ОООО
Submit
Next
Save and Exit
Mark this and retum
Answer:
You choose but it looks like what you have labeled B
Step-by-step explanation:
R = K / S INVERSE PROPORTION
16 = K / 3 VALUES GIVEN: MULTIPLY BY 3 ON BOTH SIDES
16*3 = k
K = 48
Answer: R = 48/S
Ramon Escalante purchases a digital camera for $399.99 in Omaha Nebraska, where the sales tax rate is 5.75 percent
A. what is the sales tax?
B. what is the total purchase price?
Answer:
[tex] \: [/tex]
A. The sales tax will be $ 22.999425
so, the sales tax » $ 23
5.75 % of $ 399.99
B. The Total Purchase will be →
$ ( 399.99 + 22.999425 ) $ 422.989425or
$(23 + 399.99) $ 422.99Find the length of the missing leg in the following right triangle.
A) 35.5
B) 20
C) 8
D) 400
Please and thank you!
Work Shown:
[tex]a^2 + b^2 = c^2\\\\b^2 = c^2 - a^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{29^2 - 21^2}\\\\b = \sqrt{841-441}\\\\b = \sqrt{400}\\\\b = 20\\\\[/tex]
I applied the pythagorean theorem.
What is 024 rounded off to the nearest 100?
Answer:
0.24
Step-by-step explanation:
There is nothing, after the hundredths (4), to round it, So 0.24 is already rounded to the nearest hundredths.
The number 0.024 after rounded off to the nearest hundred its become 0.02.
What is rounding off?Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
Given that;
The number is,
⇒ 0.024
Now, After rounding off to the nearest hundred, we get;
⇒ 0.024 ≈ 0.02
( Because 4 is less than 5. )
Learn more about the rounding number visit:
https://brainly.com/question/1620496
#SPJ2
please look at the pic!
The formula for determining the mean from the probability distribution table is expressed as mean = summation(x * P(x))
Thus, we have
x | p(x) | xp(x)
3 | 0.14 | 0.42
6 | 0.05 | 0.3
9 | 0.36 | 3.24
12 | 0.35 | 4.2
15 | 0.10 | 1.5
Mean = 0.42 + 0.3 + 3.24 + 4.2 + 1.5 = 9.66
The last option is correct.
*What is the perimeter of a square with side length 13.4 inches? Write the direct variation equation.
Answer:
53.6 inches
p = 4s
Step-by-step explanation:
The perimeter of a square is four times the side
The direct variation equation is
p = 4s
p = 4 * 13.4
p = 53.6 inches
Which of the following describes a similarity between a solid and a gas
Answer:
they are both states of matterthey are both made up of atoms, molecules and ionsthey both have volumeMultiply (3x+2)(x-6)
What is the middle term of the simplified answer?
Answer:
16x
Step-by-step explanation:
(3x + 2) (x - 6)
Multiply 3x by x and -6
3x^2 - 18x
Multiply 2 by x and -6
2x - 12
Combine like terms
3x^2 - 16x - 12
The middle term is 16x
The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?
Answer:
0
Step-by-step explanation:
Because Rory's higher average and Lane's higher average is 96 in Quiz 3.
96-96=0
George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten
Answer: 5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...
(20×19×18)/(3×2×1) = 1,140
There are easily enough different combinations of 3 students to have a different combination each day.
_____
Additional comment
The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...
nCk = n!/(k!(n-k)!)
Only answer this if you know the answer.
Find The nth Term of this number sequence
18, 16, 14, 12
Answer:
The nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
First term = 18
Second term = 16
Common difference = 16 - 18 = -2
It should be noted that the formula for finding the next term of an arithmetic sequence will be:
= a + (n - 1)d
= 18 + (n - 1) × -2
= 18 - 2n + 2
= -2n + 20
Therefore, the nth term of this number sequence 18, 16, 14, 12,... will be -2n + 20.
Step-by-step explanation:
Last month, Irma’s deliveries consisted of $33,600 in groceries, and she made 140 deliveries of pet supplies. How much does Irma earn in total for the month?
Answer:
If in you little HMH thing it is 4044.8
Solve for u.
–
7u–u+2u+11u=10
u=
examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is
Answer:
The pattern is adding by consecutive odds.
Step-by-step explanation:
The first odd you start with is 3:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
16 + 9 = 25
25 + 11 = 36
...
Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.
~
the 7th term of a Gp is 192 and it common ratio is 2 find the first term
[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]
Solve the inequality. 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) please help
A relationship between two expressions or values that are not equal to each other is called 'inequality. inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) is x≥-92/58.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is
53(2x + 2) – 10 ≥ 2x + 2(23x + 2)
Apply the distributive property
106x+106-10≥ 2x + 46x+4
Add the like terms
106x+96≥ 48x+4
Take all common variables on one side
106x-48x≥4-96
106x-48x is 58 and 4 minus 96 is minus 92.
58x≥-92
x≥-92/58
Hence inequality 53(2x + 2) – 10 ≥ 2x + 2(23x + 2) is x≥-92/58.
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ5
ZA and B are vertical angles. If mZA = (6x – 11)° and m B = (5x + 4)º,
then find the measure of ZB.
9514 1404 393
Answer:
∠B = 79°
Step-by-step explanation:
Vertical angles are congruent, so you have ...
6x -11 = 5x +4
x = 15 . . . . . . . . . . . add 11 -5x to both sides
5x +4 = 5·15 +4 = 79
The angles measure 79°.
_____
Checkk
∠A = 6x -11 = 6·15 -11 = 90 -11 = 79
distance from the point to 0, so it can never be
negative.
a. Coordinate plane
b. Opposite
c. Absolute value
d. Quadrant
distance from the point to O, so it can never be negative so answer is
b.oppsite
a line that passes through the point (8, 2) and has the slope -5/2
Answer:
y = -5/2x + 22
Step-by-step explanation:
y = mx + b
2 = -5/2(8) + b
2 = -40/2 + b
2 = -20 + b
22 = b
y = -5/2x + 22
Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year
Answer:
110.00
Step-by-step explanation:
Mary was asleep from 9:pm to 5:am. How long was she asleep for?
Answer:
8 hours
Step-by-step explanation:
Answer:
8hours
Step-by-step explanation: