Answer:
45
Step-by-step explanation:
20 goes into 100 5 times so then you tka e the 9 and x 5 and you get 45
Given that
log 2= X
log 3= y
log 7= z
Express the following expressions in terms of x, y, and z
(1) log (14/3)
(2) log 0.3
(3) log 10.5
Answer: See below
Step-by-step explanation:
Answer (1)
We must break down the expressions into factors. That is:
[tex]\begin{align} \log 12&=\log 4\times 3=\log 2^2\times 3\\ \log 12&=\log 2^2+\log 3=2\log 2+\log 3=2x+y\\ \end{align}[/tex][tex]\log \frac{14}{3}&=\log 14-\log 3 \\ =\log 2\times 7-\log 3\\ \\\log \frac{14}{3}& =\log 2+\log 7-\log 3 \\ =x+z-y\\[/tex]
Answer (2)
[tex]\log 0.3 &=\log \frac{3}{10} \\ \\ =\log 3-\log 10 \\=y-1[/tex]
Answer (3)
[tex]\log 10.5& \\ =\log \frac{21}{2} \\=\log 21-\log 2\\ \\ \log 10.5& \\ =\log 3\times 7-\log 2\\=\log 3+\log 7-\log 2\\=y+z-x[/tex]
x/50=40/64 solve for x
X/50 = 40/64
To find x cross multiply:
64 * x = 50 * 40
Simplify:
64x = 2000
Divide both sides by 64:
X = 31.25
Answer:
x = [tex]\frac{125}{4}[/tex]
Step-by-step explanation:
[tex]\frac{X}{50}[/tex] = [tex]\frac{40}{64}[/tex]
Divide both sides of the equation by the coefficient of variable
X = [tex]\frac{40}{64}[/tex] x 50
Simplify the fractions:
x = [tex]\frac{5}{4}[/tex] x 25
Write as a single fraction
x = [tex]\frac{5*25}{4}[/tex]
Calculate the product:
x = [tex]\frac{125}{4}[/tex]
A shelf is 3/4 yard long. How many boxes that are each 1/8 yard wide can be put side by side on the shelf?
Answer:
6
Step-by-step explanation:
3/4=6/8 which means 6 1/8's can fit
Answer:
(3 1/2 ft.) / 5/8 in.
Step-by-step explanation:
both values must be in same increments; change feet to inches
3 1/2 ft = 7/2 ft
(7/2) 12/1 = 42 in.
Then: 42 / (5/8)
42 (8/5)
336/5
67 1/5
you can stack 67 books
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
The number of pounds that one of the heaviest bag weighs more than one of the lightest bag in the given line plot is: 1½
What is a Line Plot?In a line plot, frequency of a data point is either represented by a dot or a mark.
In the line plot given:
Heaviest bag weighs 5¾
Lightest bag weighs 4¼
The difference between the heaviest and lightest bag = 5¾ - 4¼
= 23/4 - 17/4
= (23 - 17)/4 = 6/4 = 3/2
= 1½
The heaviest bag weighs 1½ pounds than the lightest bag.
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Solve the quadratic equation by completing the square and applying the square root property.
u2 + 20u + 101 = 0
Answer: u = -10 + i or u = -10 - i
Step-by-step explanation:
[tex]\begin{aligned}&u^{2}+20 u+101=0 \\&u^{2}+10^{2}+2 \times 10 \times 6 u+101-1000=0 \\&(u+10)^{2}=-1\end{aligned}[/tex]
[tex]\begin{aligned}&u+10=\pm \sqrt{-1} \\&u+10=\pm i \\&u=-10 \pm i \\&\bold{u=-10+i \quad \text { or } u=-10-i}\end{aligned}[/tex]
Answer:
[tex]u = - 10 + i, \: \: - (10 + i)[/tex]
Step-by-step explanation:
[tex] {u}^{2} + 20u + 101 = 0 \\ \\ \implies \: {u}^{2} + 20u + 100 + 1 = 0 \\ \\ \implies \: {u}^{2} + 20u + {(10)}^{2} + 1 = 0 \\ \\ \implies \: {(u + 10)}^{2} = - 1 \\ \\ \implies \: {u + 10} = \pm\sqrt{ - 1} \\ \\ \implies \: {u} = \pm \: i - 10\\ \\ u = i - 10 \: \: or \: \: u = - i - 10 \\ \\ u = i - 10 \: \: or \: \: u = - (10 + i) \\ \\ u = - 10 + i, \: \: - (10 + i)[/tex]
BRAINLIEST+STARS!!
Which transformation below causes Figure A to transform into Figure A’?
A. a reflection across the y-axis
B.a reflection across the x-axis
C.a clockwise rotation of 90 degrees about the origin D.a translation 12 units right and 2 units down
Answer:
D.a translation 12 units right and 2 units down
Answer:
D
Step-by-step explanation:
If you take one of the point and compare it to the corresponding one on the second triangle, you can see that it is a translation of 12 right 2 down.
which weight is greater than 5,000 lbs.
Answer:
6000 lbs is greater then 5000!
Step-by-step explanation:
A book that did sell for $18.50 now sells for 20% more. How much does the book
now sell for?
new price = original price x ( 1 + increase rate)
new price = 18.50 x (1 + 20%)
new price = 18.50 x 1.20 = 22.20
Answer: $22.20
Reemplaza los valores en las expresiones y resuelve
Substitute values into expressions and solve??
HELP PLS
BRAINLEIST
10 POINTS
Answer:
26 is the answers for the question
pls answer me thus question
Answer:
iii is the correct answer (the third one)
Step-by-step explanation:
additive inverse is the same as the reciprocal
It is when the denominator and numerator are swapped around
So the inverse of 3/9 is 9/3
Brainliest would be appreciated
A right square pyramid is shown. The height of the pyramid is 40 units. The distance from the center of the base of the pyramid to vertex D is 30units, as shown.
Enter the length of segment AD, in units
Answer:
c=a2+b2
use the Pythagorean Theorem
Here are the results of a survey of 525 people in a town.
• 135 females speak Welsh.
• 163 males do not speak Welsh.
• 238 people do not speak Welsh.
Use the results of the survey to work out the ratio
males in town who speak Welsh : males in town
Please help! Area of part of a circle!!!
Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a
mean duration of 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a
random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if
necessary.)
1. What is the population mean? 240
✓ (in minutes)
2. What is the population standard deviation? 40
✓ (in minutes)
3. What is the sample size? ,10
4. Can normal approximation be use for this problem?
Yes, it is given that the population distribution is normally distributed
.
<
5. What is the mean of the sample means? 240
✓ (in minutes)
6. What is the standard deviation of the sample means? 12.65
What is the probability that the drug will wear off in less than 200 minutes?
1. What is the z-score? 0.2
X
2. What is the requested probability? P(x =
<
200
✓= 0.91
x
Х
What is the probability that the drug will wear off after 220 minutes?
1. What is the z-score?
-2
X
2. What is the requested probability? P(x =
>
220
✓ = 0.866
X
What is the probability that the drug will wear off between 200 and 220 minutes?
1. P(200 < x < 220)
=
0.418
X
The population mean is 240, the population standard deviation is 40, and the sample size is 10.
What is a population mean?It should be noted that the population mean simply means the average of the numbers that are given in a research.
Here, the population mean is 240, the population standard deviation is 40, and the sample size is 10. The sample size is the number of people that took part in the research.
Also, a normal approximation be use for this problem because it is given that the population distribution is normally distributed.
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If s(x) = 2-x2 and t(x) = 3x, which value is equivalent to (s° f)(-7)?
Answer:
-439
Step-by-step explanation:
Think of the question as s(f(-7))
First replace x with -7 in the equation f(x)= 3x
s(-7) = 3*(-7)
s(-7) = -21
now it is s(-21)
we substitute -21 into the s(x) equation to get [tex]2-(-21)^2[/tex]
That gives you 2-441 = -439
Give the equation of the circle centered at the origin with radius 3.
Your invest $88,000 a CD that is locked into a 1.75% interest rate compounded monthly for seven years how much will Urich have an account with the CD matures
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$88000\\ r=rate\to 1.75\%\to \frac{1.75}{100}\dotfill &0.0175\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A=88000\left(1+\frac{0.0175}{12}\right)^{12\cdot 7}\implies A=88000\left( \frac{4807}{4800}\right)^{84}\implies A\approx 99459.21[/tex]
Kenzie bought 12 belts for $54 write an equation that shows the relationship between the numbers of belt B and C the total cost for the belts
Answer:
$4.50B = C
Step-by-step explanation:
Kenzie bought 12 belts for $54, which means that each belt costs $4.50.
If b=number of belts, c=the total cost, and x=the cost of one belt, the equation would be:
b(x)=c,
so:
12*$4.50=$54
OR
$4.50B=C
hope that helps! good luck!
Answer:
C = 4.50B
Step-by-step explanation:
Finding the cost of a belt
Total cost / Number of belts$54 / 12$4.50Therefore, the relation between B, the number of belts, and C, the total cost, will be :
C = 4.50Bby first rounding each number to 1 significant figure, estimate the answer to 427+941
Answer:
1300
Step-by-step explanation:
Order these numbers from least to greatest.
7.773, 157/20, 7.77, 7 9/11
Answer:
7.77, 7.773, 7 9/11, 157/20
Step-by-step explanation:
First, convert any fractions to decimals to make it a bit easier to order.
7.773, 157/20, 7.77, 7 9/11
157/20 = 7.857 9/11 => 86/11 => 7.82Now we have:
7.773, 7.85, 7.77, 7.82
Order from least to greatest:
7.77, 7.773, 7.82, 7.85
Rewrite using the original numbers in the question:
7.77, 7.773, 7 9/11, 157/20
Hope this helps!
please help find x and mDE
Answer:
x = 16
measure of Arc(DE) = 167°
Step-by-step explanation:
Since the arc EFG make a straight angle, we can infer;
180° = Arc(EF) + Arc(FG)
180° = (x-3)° + (12x - 25)°
180° = 13x - 28
208 = 13x
16 = x
Arc GF and DE are vertical angles so if you find the measure of Arc GF then it's the same as measure of Arc DE
mDE = mGF
mDE = 12x - 25
mDE = 12(16) - 25
mDE = 192 - 25
mDE = 167°
Hope this helps!
Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
c. take 10% of $46
d. take 18% of $50
Answer:
C. take 10% of $46
Step-by-step explanation:
Hope this helps you! :)
Joyce paid $38.50 for an item at the store that was 65 percent off the original price. What was the original price?
Answer:
25.025
Step-by-step explanation:
x/38.50=65\100 cross multiply and divide by the 100 so now x=Original price=25.025
A test of 10 different types of candy are being tested. If a person is given 6 of the candies to taste how many combinations are possible?
Answer:
Step-by-step explanation:
10 to the 6th power
=1,000,000
There are 210 different possible combinations
How to determine the number of possible combinations?The given parameters are:
Types of candy, n = 10Candies to taste, r = 6The number of possible combinations is calculated using:
Combination = nCr
This gives
Combination = 10C6
Apply the combination formula
Combination = (10!)/((10 - 6)!6!)
Evaluate
Combination = 210
Hence, there are 210 different possible combinations
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find the area and perimeter of a nonagon, inscribed in a circle, with radius 4 inches
If it's a regular nonagon, each exterior angle has measure 360°/9 = 40°, so the supplementary interior angles each have measure 180° - 40° = 140°.
We can split up the nonagon into 9 congruent isosceles triangles whose longer side coincides with the radius of the circle. (The language in the question is a bit ambiguous; I think it's clearler to say the nonagon is itself circumscribed by the circle, so that each of its vertices lie on the circle. See attached image - not mine, but it's in public domain.)
As the image suggests, each triangle will have interior angles measuring 70°, 70°, and 40°.
We can use trigonometry to find the side length of the nonagon, i.e. the length of the shortest side of each triangle - I'll call it x. For example, using the law of cosines,
x² = 4² + 4² - 2 • 4 • 4 cos(40°) ⇒ x = 4√2 √(1 - cos(40°))
Then the perimeter of the nonagon is
9x = 36√2 √(1 - cos(40°)) in ≈ 24.623 in
The area of a triangle is 1/2 the product of its base and height. The base will be b = x, but to get the height we cut the isosceles triangle in half to produce a right triangle. We use trig again to determine its height h:
tan(70°) = h/(b/2) ⇒ h = 1/2 x tan(70°)
so each triangle contributes an area of
a = 1/2 bh = 1/4 x² tan(70°) ≈ 5.142 in²
and so the area of the nonagon is
9a = 9x²/8 tan(70°) ≈ 46.281 in²
How many cups of mashed potatoes were four people get if they equally shared 3/4 cup of potato
Answer:
3/4 x 2 = 6/8 6/8 ÷ 4 = 2/8
so each person would get 2/8 cups of potatoes
Help help math math math
Answer:
1) 13
2) 9
3) 5
4) 1
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Answer:
13, 9, 5, 1
Step-by-step explanation:
all you have to do is plug in the x to find the y
Given that some normally distributed data has a mean of 857.518 and a standard
deviation of 113.181. What is the probability that a randomly sampled datapoint wil
be greater than 1007.174?
Answer:
10%
Step-by-step explanation:
(1007.174 - 857.518) / (113.181) means that
1007.174 is 1.32 standard dev ABOVE the mean
z-score = .9066 from z-score chart
means 90% are less and ~~ 10% are this value or more
Construct the indicated confidence interval for the population mean using the t-distribution. Assume the population is normally distributed.
picture of question below