Given: Log 2=a, log 7=b. Find log 56
Answer:
log(56)=log(7⋅8)=log(7)+log(8)=log(7)+log(23)=log(7)+3log(2)=b+3a
Step-by-step explanation:
Answer:
b+3a
Step-by-step explanation:
log (56)=log (7x8)
20 points if you answer
Answer:
C.
Step-by-step explanation:
Its C becase, A is not a viable answer because the some of the outputs are not positive. And not B because one input yields 1 output not multiple so its not B. And its not D because as you can see the 'y' side has 2 of the same numbers so its not D. Therefore, the answer is C!
Answer:
C
Step-by-step explanation:
Question 2 options: A consumer advocate group selects a random sample of 205 snack foods and finds that 174 of them contain more fat grams than what is indicated in the snack's nutritional information. Create a 90% confidence interval for the population proportion for snack foods that contain more fat grams that what is indicated in the snack's nutritional information.
Answer:
156 snack foods.
Step-by-step explanation:
205 - 174 = 31
To find 90% of 174, multiply 174 by 0.90.
174 x 0.90 = 156
The answer is 156 snack foods.
Simplify the expression. 16 x 4 -4
Answer:
The answer is 60
Step-by-step explanation:
16 x 4 - 4
64 - 4
60
Hope this helped!
Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2__{−6,−3,−5,−1}
Answer:
−2 ∉ {−6,−3,−5,−1}
Step-by-step explanation:
Given
Set = {−6,−3,−5,−1}
Element = -2
Required
The interpretation of the question is to state if -2 is an element of the given set or not
The first thing to do is to check through the set to count the number of occurrence of -2
Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0
This implies that -2 is not an element of the given set and this is represented by the symbol ∉
Hence:
−2 ∉ {−6,−3,−5,−1}
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
The intensity of the 1994 earthquake was about 40 times the intensity of the 2014 earthquake.
Step-by-step explanation:
1994 earthquake:
6.7I=logI=106.7
2014 earthquake:
5.1I=logI=105.1
Form a ratio of the intensities.
intensity for 1994intensity for 2014
Substitute in the values and divide by subtracting the exponents to find
106.7105.1101.6≈40.
The intensity of the 1994 Northridge earthquake in the Los Angeles area was about 40 times the intensity of the 2014 earthquake.
The sum of infinity of the series 2/3 – 4/3² + 2/3³ + 4/3⁴ is
Answer:
[tex] \frac{3}{4} - \frac{2}{4} = \frac{1}{4} [/tex]
Answer:
7/20Step-by-step explanation:
It seems there are two patterns in the series:
2/3, 2/3³, ... with a₁ = 2/3 and r = 1/9- 4/3², 4/3⁴, ... with a₁ = -4/9 and r = -1/9Using sum of infinity of the geometric series formula:
S∞ = a₁/(1 - r)Applying this to both patterns:
S₁ = 2/3÷(1 - 1/9) = 2/3 ÷ 8/9 = 2/3×9/8 = 3/4S₂ = -4/9÷(1 - (-1/9)) = -4/9÷10/9 = -4/9×9/10 = - 2/5Sum of the two results:
3/4 + (-2/5) = 5/5*3/4 - 4/4*2/5 =15/20 - 8/20 = 7/20Graham IS able to add these equations together so that one variable is eliminated.
x+2y=7x+2y=7
4+3y=34+3y=3
True
False
Answer:
It's false
Step-by-step explanation:
PLEASE GIVE ME AS BRAINLIEST
statement: Graham IS able to add these equations together so that one variable is eliminated
answer: false
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
pls help I appreciate anyone that helps me
Answer:
The slope is (8) positive, so the amount should be positive.
I opened a savings account with $110 worth of birthday money and I make $8 a month.
Step-by-step explanation:
The slope is 8 so a positive number
In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
diagram, the trees are 4.2 cm apart. How far apart should the actual trees
be planted?
Answer:
42 ft
Step-by-step explanation:
4.2/1=4.2
4.2*10=42 ft
PLS GIVE BRAINLIEST
Answer:
42
Step-by-step explanation:
1 cm=10ft on the diagram
so the only thing we have to do is multiply.
4.2x10=42 make sure your answer is in FT not CM
so for example
42ft. Units are important XD
PLEASEE HELPP WILL BRAINLIST find the output when x = 0
Answer:
output: 8
Step-by-step explanation:
since x=0 y would equal 8 which is the output.
Find the segment length indicated. Assume the lines which appear to be
tangent are tangent. The center is marked.
6.6
6.6
O 16.9
O 8.9
O 10.2
O 11.2
quiz 2 : percent and percentage
change the decimal 0.82 to a percent
A. 0.8%
B.82%
C.90%
D. None of these choices are correct
Answer:
82%
Step-by-step explanation:
0.82x100=82
=82%
Hope this helps
Answer:
B. 82%
Step-by-step explanation:
.82 can also be written as 82/100 and 82/100 can be turned into 82% because they are all based on 100
Help me please! I’ll mark as brainliest!!
Answer:
I think its C. but i might be wrong.
Step-by-step explanation:
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 2) and perpendicular to the plane x 4y z
Answer:
The answer is "[tex]x=1+t\\y=0+4t\\z=2+1[/tex]"
Step-by-step explanation:
A(1,0,2) perpendicular to x+4y+z=2 plane
The vector of direction is v[1,4,1].
The [tex]eq^n[/tex]and parametric [tex]eq^n[/tex] formulas also for line
[tex]r(t)=A+tv\\ \\r(t)= (1,0,2)+t(1,4,1)[/tex]
[tex]x=1+t\\y=0+4t\\z=2+1[/tex]
Write each mixed number as a percent: 7 3/10
Answer:
730%
Step-by-step explanation:
What is 5x + 1 - 2x - 3?
Answer:
3x - 2
Step-by-step explanation:
5x +1 -2x -3 Combine like factors with x
5x -2x = 3X
3x +1 -3 Combine like factors without x
1 -3 = -2
3x - 2Jayne uses long division to convert a rational number
to a decimal. Which of the following statements cannot be true?
00:00
The decimal form of terminates in zeros.
00:00
The decimal form of eventually repeats.
00:00
The decimal form of is a whole number.
The decimal form of
never repeats or terminates
Answer:
Answer: The decimal form of a/b never repeats or terminates.
Step-by-step explanation:
Fractions such as " a/b " can be ratios so they don't terminate.
Given that k-5, k+7, k+55 are three consecutive terms in a geometric sequence, solve for k
Answer:
[tex]k = 9[/tex]
Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:
[tex]r = \frac{T_{n}}{T_{n-1}}[/tex]
In other words:
[tex]r = \frac{T_3}{T_2} = \frac{T_2}{T_1}[/tex]
Where 1, 2 and 3 represents the terms of the progression/sequence
So:
[tex]r = \frac{T_3}{T_2} = \frac{T_2}{T_1}[/tex] becomes
[tex]\frac{k+55}{k+7} = \frac{k+7}{k-5}[/tex]
Cross Multiply:
[tex](k+55)(k-5) = (k+7)(k+7)[/tex]
Open Brackets
[tex]k^2 + 55k - 5k - 275 = k^2 + 7k + 7k + 49[/tex]
[tex]k^2 + 50k- 275 = k^2 + 14k + 49[/tex]
Collect Like Terms
[tex]k^2 - k^2 + 50k-14k = 275 + 49[/tex]
[tex]36k = 324[/tex]
Solve for k
[tex]k = 324/36[/tex]
[tex]k = 9[/tex]
Daniel received $150 for his birthday this year. this was $10 less than half the amount he received last year. How much money did Daniel receive for his birthday last year?
Answer:
He received $320 last year
Step-by-step explanation:
Answer:
$320
Step-by-step explanation:
2(150 + 10)= x. x=2(160) x=320. SO he actually got 320 dollars for his birthday last year.
Seats in commercial airplanes are designed so most passengers are comfortably seated. To design an airplane, an engineer at Bombardier Aerospace uses the normally distributed height of Québec adults, which has a mean of 170 cm and a standard deviation of 12 cm
a. The designer will design the seating so 98% of passengers are comfortable. What is the height of someone who is taller than 98% of all other Québec adults?
b. The airplane can hold up to 110 passengers. What is the probability that the average height of passengers is smaller than 100 or larger than 190 cm?
c. If we market this airplane to the American market for which the mean height of adult Americans is 185 cm with a standard deviations of 16 cm, what proportion of American adults would be taller than the height found in (a)? Would this be a problem for Bombardier when it tries to sell the plane to American airline companies?
Answer:
x-2-y/l=45
Step-by-step explanation:
3 kg of beef costs £51
Max buys 2 kg of beef.
Work out how much Max pays
Find the rate:
51 ÷ 3 = £17
1 kg of beef = £17
2 kg of beef = £17 × 2 = £34
2 kg beef = £34
413÷19= divide then check using multiplication
How do you do this question?
Answer:
-1
Step-by-step explanation:
dy/dt = y² − 1 = (y + 1) (y − 1)
At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.
As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.
As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.
1
x = (5 + 1-271) - 1-41. Solve for x.
x = 307. Hope that helped :)
57% is greater than, less than, or equal to 1
Answer:
Less than
Step-by-step explanation:
Answer:
57% is less than
Step-by-step explanation:
To convert from percentages to counting numbers, we move the decimal in the percentage two places behind its original point.
57.0% ---> .57
.57 < 1
Square root of -1 = 1. Math test
Answer:
false. the sqrt of -1 = i
Step-by-step explanation:
A pack of gatorade states that 4 tablespoons of mixture should be added for every 7 cups of water. If the container holds 56 cups of water in it, how much should be added to the water?
Find the distance between point N and point M.
-N(-1,2)
*M(-4, 4)
square root of 45
square root of 13
square root of 9
square root of 61
Answer:
(-2.5, 3)
Step-by-step explanation: