Answer:
x = 5
x = -15
Explanation:
Let the number be "x"
===================
(x + 5)² = 100x + 5 = ±√100x + 5 = ±10x + 5 = 10, x + 5 = -10x = 10 - 5, x = -10 -5x = 5, -15Answer:
x= 5 or -15
Step-by-step explanation:
let the number be x
(x+5)^2=100
x^2+10x+25=100
x^2+10x-75=9
look for factors of 75 that when you gives you 10 and when you multiply gives you -75
those factors are 15 and -5
replace 10x with 15x and -5x
x^2+15x-5x-75=0
then group them, and factorize
x(x+15)-5(x+15)=0
x-5=0 or x+15=0
x= 5 or x= -15
3. The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
18.99%
22.63%
1.31%
29.73%
The maximum error of estimate with a sample of 300 cell phones is 29.73%
Determining maximum error estimateThe formula for calculating the maximum error of the estimate is expressed as:
ME = √0.25/n
n is the total sample
Given the following parameters
n = 300
Substitute into the formula to have:
ME = √0.25/n
ME = √0.25/300
ME = 0.2973
ME = 29.73%
Hence the maximum error of estimate with a sample of 300 cell phones is 29.73%
Learn more on maximum error here: https://brainly.com/question/13370015
The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
Answer:
29.73%
dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer
Answer: 24.34 is his balance.
Step-by-step explanation:
Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2
Using the vertical asymptote of the function, it is found that it is given by:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).
The graph has one vertical asymptote at x=2, hence the denominator is x - 2.
Hence:
[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]
The y-intercept of the graph is y=−3, hence:
[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]
[tex]-4a = 6[/tex]
[tex]a = -1.5[/tex]
Thus, the function is:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
Put these numbers in order from least to greatest "-5" 13 4 10 "-1"
Answer:
-5, -1, 4, 10, 13
Step-by-step explanation:
the larger the negative, the smaller the number
Find the area of this parallelogram. A) 35 cm B) 75 cm C) 105 cm D) 150 cm
Answer:
B) 75 cm
Step-by-step explanation:
A = bh
(b =base & h = height)
therefore
area = 5 × 15
= 75 cm
I think this will helpful to you
give me a brainliest
The hands of a clock suggest an angle whose measure is continually changing. How many degrees does a minute hand move through during 4 -minute time interval?
In 4 -minute time interval a minute hand moves __ degrees.
Step-by-step explanation:
oh, come one ! you can literally see that one ...
a full rotation on a clock is a full circle and stands therefore for 360°.
for the minute hand these 360° represent 60 minutes.
4 minutes of 60 is a fraction, a ratio, and the same ratio applies then also to 360°.
4/60 = 1/15
360 × 1/15 = 24°
so, 4 minutes represent 24°.
Answer:
Wow no reasonable explanaition for why you don't know this answer but here it is.
360*
Step-by-step explanation:
Help picture below problem 11
Answer:
Missing Angle = 26⁰ ( corresponding angles )
Solve for an angle in right triangles. Round answer to the nearest hundredth
Answer:
A = 44.42°
Step-by-step explanation:
SohCohToa
Soh = sin(theta)= opp/hyp
Coh = cos(theta)= adj/hyp
Toa = tan(theta)= opp/adj
Coh = cos(theta)= adj/hyp
cos(A)= adj/hyp
cos(A)= 5/7
A = cos^-1(5/7)
A ≈ 44.4153086
A = 44.42°
On the 11th of March, 2011, an earthquake along the eastern shore of Japan caused a tsunami, which
then damaged a nuclear power plant. Several radioactive elements were released into the air and ocean.
Use an exponential decay formula to model how long some of these elements can be expected to persist
in the environment.
4. Cesium-137 has a decay constant of
0.0231 (a 30 year half-life). If 20
pounds of cesium-137 were released
into the Pacific Ocean by the tsunami,
how much will still be there ten years
later?
5. Strontium-90 has a decay constant of
0.0248 (a 28 year half-life). If 80
pounds of strontium-90 were
released into the Pacific Ocean by the
tsunami, how much will be left in 75
years?
6. When strontium-90 decays, it transforms into yttrium-90, which has a half-life of
only 64 hours, (0.007302 years). If the decay constant of yttrium-90 is -94.93,
what percentage of a one-pound sample will be left after one month ( of a
year)?
The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.
What is radioactivity?Radioactivity refers to the sponteanous decay of a substance. We have the formula;
N(t) = Noe^-kt
Where;
N(t) = amount of radioactive material left after time t
No = amount of radioactive material initially present
k = decay constant
t = time taken
Let us now solve the questions individually;
a)
No = 20 pounds
N(t) = ?
k = 0.0231
t = 10 years
N(t) = 20e^-(0.0231 * 10)
N(t) = 16 pounds
b)
No = 80 pounds
N(t) = ?
k = 0.0248
t = 75 years
N(t) =80e^-(0.0248 * 75)
N(t) = 12.45 pounds
Learn more about radioactivity: https://brainly.com/question/15289741?
Find the range of the relation.
O {-4, -3, -2, -1, 0, 1, 2, 4)}
O {-4, -2,0, 2, 4)}
O {-4,4)}
O {-3, -2, -1, 0, 1)}
Answer:
largest number -smallest number
In January 2011 the rate of VAT increased from 17.5% to 20%.
Work out the difference in price of a car worth £17000 + VAT
due to the increase in VAT.
Answer: Attributed to the increase in VAT, the change in cost of a car worth RS 15000+VAT is Rs 375.
Step-by-step explanation:
You are studying economic development in a small developing country. You do not have individual income data but you do have counts of how many people fall into various intervals such as 0-500, 501-1000, etc. You want a display that shows the shape of the income distribution. You should make a
A. Scatter plot
B. Pie chart
C. Bar chart
D. Histogram
Two cards are chosen at random without replacement from a pack of 52 playing cards. If the first card chosen is an Ace, what is the probability the second card chosen is a King?
Answer:
4/52 or 1/13
Step-by-step explanation:
Answer:
the probabilyy of that will probably be the probability of that question porbably speaking about probability
Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30
Answer:
D. $30
Step-by-step explanation:
All you have to do is multiply 15 by 2 and you'll get 30.
Write an equation of the line in slope-intercept form.
Answer:
Step-by-step explanation:
Y-intercept is -2.
Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.
Plugging into slope-intercept form:
y=mx+b => y=2x-2
HELP PLEASE PYTHAGOREOM THEOREM
Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex]
Since 10 and 24 are the legs, "x" has to be the hypoteneuse. "a" and "b" are the legs (10 and 24).
Now, replace the values in.
[tex]10^2+24^2 = x^2[/tex]
[tex]x^2 = 100+576\\x^2 = 676\\x = 26[/tex]
Hope this helped! :)
NEED HELP ASAP!!!
On a coordinate plane, sketch the graphs. y=|x| , y=|x+3| , and y=|x-2|
Answer:
Step 1. Plot x-intercept
Step 2. Plot y-intercept
Step 3. Connect dots
y = |x|
x-intercept = (0,0)
y-intecept = (0,0)
y = |x + 3|
x-intercept = (-3,0)
y-intecept = (0,3)
y = |x - 2|
x-intercept = (2,0)
y-intecept = (0,2)
BRAINLIEST please if this helped!Ved drew the shape below by combining exactly 3 triangles of the same size and shape
The area of each triangle is (1/3) of the area of the whole shape.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
Ved drew the shape below by combining exactly 3 triangles of the same size and shape.
Hence:
Combined area = sum of each area = 3 * area of each triangle
The area of each triangle is (1/3) of the area of the whole shape.
Find out more on area at: https://brainly.com/question/25292087
If the perimeter of the triangle shown below is 48x + 9, what is the length of the missing side? 4x+2 3x – 9 NEED ANSWER ASAP
Answer:
41x+16
Step-by-step explanation:
4x+2+3x-9+c=48x+9. You can move all the things you know to the other side.
c= 48x-4x-3x-2+18
c=41x+16
help ASAp peaseeeeeeeeee
Answer:
7/6
Step-by-step explanation:
[tex] \frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6} [/tex]
Answer:
7/6
Step-by-step explanation:
X = 2 because 2x3=6 and the three is from x/3 then 4+3=7 and then 7 would be the denominator and 6 would be the numerator. You should get 7/6
A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale
Answer:
Step-by-step explanation:
Multiplying the sales amount of 500$ and the commision rate of 6% results to
500(0.06)
=30.
30 points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
Question 2 options:
12 cm
62–√ cm
63–√ cm
6 cm
Answer:
Your answer would be 12cm
Step-by-step explanation:
I just take a quiz and got it right.
Mark bought two candy bars and a soda for $3.96. If each candy bar cost $1.10 how much did the soda cost?
Answer:
$1.76
Step-by-step explanation:
$1.10+$1.10 = $2.2
$3.96 - $2.2 = $1.76
change the following fractions to decimal -3/8
Answer:
3/8 as a decimal is 0.375.
When comparing debit cards to credit cards, which statement is TRUE?
A) Both debit cards and credit cards can improve a credit score.
B) Debit cards make it easier to fall into debt than credit cards.
C) Debit cards are more secure than credit cards for online purchases.
D) Debit cards make tracking day-to-day spending easier than credit cards.
The TRUE statement that compares debit cards to credit cards is D) Debit cards make tracking day-to-day spending easier than credit cards.
What are debit and credit cards?Debit cards are payment cards linked to the holder's bank account. Payment transactions are automatically deducted from the account.
Debit cards depend on the holder's bank balance to make payments, unlike credit cards that give access to borrowing money for purchases so that repayment may be made later.
Thus, the main difference between debit cards and credit cards is that debit cards make the holder accountable for their spending while credit cards give access to credit borrowing.
Learn more about debit and credit cards at https://brainly.com/question/4515861
Help help math math math
Answer:
the answer to your question is -27
-27
Solution:All we have to do here is subtract:-19-8Think of it as 19+8:27Now, put the minus sign next to 27:-27Hope it helps.
Do comment if you have any query.
Khan Academy Volume of Sphere Answers!!!
Explanation:
The N stands for Pi so when you type in the answers to Khan Academy use the Pi symbol when theres an N! These are the common questions and common radius Khan Academy gives when they ask to find the radius of the circle.
Answers:
For 4 - 267.95
For 1/4 - 1/48n
For 1 - 4/3n
For 9 - 972n
For 7 - 1372/3n
For 6 - 288n
For 3 - 36n
For 10 - 4000/3n
For 8 - 2048/3n
For 1/2 - 1/6n
For 5 - 500/3n
For 2 - 33.49
Step-by-step explanation:
I did the go math so all of these rights and the majority of the answers are the questions Khan Academy will ask you to find the radius of the circle.
ok HARDEST MATH PROBLEM 2+2
Answer:
I dont know i think its 5
Step-by-step explanation:
Answer:
4 :)
Step-by-step explanation:
what is 10/9 in a fraction
This kinds of fractions called improper fractions
The rule is
p/q is a rational number and p>qWe can turn it into mixed fraction
10/91-1/9can someone help me with this pls?
