Answer:
9
Step-by-step explanation:
10-((-3) + -6)-10
10-(-9)-10
10+9-10
9
12. Solve x^2 + 6x - 16 = 0 by completing the square.
Please help and show work
Answer:
x is 2 and -8
Step-by-step explanation:
[tex] {x}^{2} + 6x - 16 = 0[/tex]
general equation
[tex] {ax}^{2} + (sum)x + product = 0[/tex]
sum is 6, product is -16
for completing squares,
first divide the sum by 2:
[tex] = \frac{6}{2} = 3[/tex]
add the square of the result on (x² + 6x) and subtract it from the product:
[tex] ( {x}^{2} + 6x + {3}^{2} ) - 16 - {3}^{2} = 0 \\ {(x + 3)}^{2} - 25 = 0 \\ {(x + 3)}^{2} = 25[/tex]
take square root:
[tex] \sqrt{ {(x + 3)}^{2} } = \sqrt{25 } \\ x + 3 = ±5 \\ x = ±5 - 3[/tex]
x is either: 5-3 or -5-3
[tex]x = 2 \: \: and \: - 8[/tex]
A man is considered overweight if he has a body mass index of 27.8 kg/m2 or greater. This point is used because it represents the sex-speci c 85th percentile for males 20-29 years of age in the 1976-1980 National Health and Nutrition Examination Survey. In 1994, of 700 men 20-34 years old, 160 were found to be overweight, whereas, in 1980, of 750 men 20-34 years old, 130 were found to be overweight. At the 1% signi cance level, do the data provide sucient evidence to conclude that for men 20-34 years old, a higher percentage were overweight in 1994 than 14 years earlier?
Answer:
oknulhidgzfczgxdgggysfrggugdchggjghhc
3s(4 + 6)2 is an example of
Answer:
A. An Algebraic Expression
Step-by-step explanation:
Since we have no equal sign in the problem, we know that it is an expression. An equation has an equal sign and another value so we can simplify to find the value of whatever variable we are working with. We also know that it is not anything numerical because we are working with variables. With this information we will see that the correct answer is A.
Best of Luck!
Answer:
options A an algebraic expression
Step-by-step explanation:
please mark me brainleast
Solve the given equation, enter your answer as "x= " and then your answer.
Example: x = 5
6=210
Answer:
×=204
Step-by-step explanation:
6=210
210-6
x=204
2. An electronic watch is sold for Rs 840 at a profit of Rs 90. Find its cost price and the profit per cent.
Answer:
750 CP AND PROFIT%=12%
Step-by-step explanation:
SP=rs 840
profit=90
CP=SP-profit
=840-90
=750
profit %=profit/CP*100%
=90/750*100%
=12%
Which expression does this power represent?
109
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9
10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9
10 × 9
9514 1404 393
Answer:
(a) 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Step-by-step explanation:
You may recall that we use a multiplier to signify repeated addition:
x + x + x = 3x
In a similar way, we use an exponent to signify repeated multiplication:
10 × 10 × 10 = 10³
__
The exponent 9 in 10⁹ means the factor 10 appears 9 times in the product:
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10⁹
Answer:
a 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Step-by-step explanation:
14 subtracted from three times a number is -53 find the number
Step-by-step explanation:
let the number
[tex] = x[/tex]
Then:
[tex](3x - 14) = 53 \\ 3x = 53 + 14 \\ 3x = 67 \\ x = 67 \div 3 = 22.33[/tex]
Answer:
[tex]number = x \\ 3x - 14 = - 53 \\ 3x = - 53 + 14 \\ 3x = - 39 \\ x = \frac{ - 39}{3} \\ x = - 13 \\ thank \: you[/tex]
The median speed at which Dave drove to work was __________. 63 miles per hour 62 miles per hour 58.89 miles per hour 59 miles per hour
Step-by-step explanation:
Dave run with was 63 miles
Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution
Answer:
135
Step-by-step explanation:
250 x 54%=135
HELP PLEASE
Find the length of AB
Step-by-step explanation:
hopefully it makes sense and is visible
:)
if x^3+ax^2+bx=6 is exactly divisible by (x-1), prove that a+b=5.
Step-by-step explanation:
x-1=0
x=1
subtitute value of x
p(x)=x^3+ax^2+bx
p(1)=(1)^3+a(1)^2+b(1)
p(1)=1+a+b
as p(x) =6. (given)
1+a+b=6
a+b=6-1
a+b=5
Pls answer this question! I will mark as brainliest!!!
Answer:
1/8
Step-by-step explanation:
There is a 1/2 probability for each of the three flips to result in the desired outcome. To get 3 desired outcomes in a row, we multiply each of the probabilities together
(1/2)³ = 1/8
Answer: it is D) 2/3
Simplify the following expression completely, where x
Step-by-step explanation:
[tex]x \sqrt{5x {y}^{4} } + \sqrt{405 {x}^{3} y {}^{4} } - \sqrt{80 {x}^{3} {y}^{4} } [/tex]
[tex]x \sqrt{5xy {}^{4} } + 9 x\sqrt{5xy {}^{4} } - 4x \sqrt{5xy {}^{4} } [/tex]
[tex]6x \sqrt{5xy {}^{4} } [/tex]
Answer:
[tex]x\sqrt{5xy^4} + \sqrt{405x^3y^4} -\sqrt{80x^3y^4} =[/tex]
[tex]xy^2\sqrt{5x} + 9xy^2\sqrt{5x} -4xy^2\sqrt{5x} =[/tex]
[tex]xy^2\sqrt{5x} (1 + 9 - 4) =[/tex]
[tex]6xy^2\sqrt{5x}[/tex]
lucy made 3 cakes that each weighed 32 ounces. how many pounds of cake did lucy make
Answer:
6 pounds
Step-by-step explanation:
1 pound = 16ounces
32ounces*3cakes= 96ounces/16ounces=6pounds
need help with some khan academy stuff
Answer:
2.2 % per minute
35 minutes
Step-by-step explanation:
(0,23%) and (30, 89%)
We can find the slope
m = ( y2-y1)/(x2-x1)
= (89-23)/(30-0)
66/30
=2.2 % per minute
To get to full change we need 100-23 = 77 %
77% * 1 minute/ 2.2 % =35 minutes
447,077 is ____________________then 347,077.
Fill in the blank.
447,077 is greater than 347,077
447,077 greater than 347,077 by 100,000
447,077-347,077= 100,000
I can list more if you want! I hope I've helped!
Tom owns a landscaping business. He charges $40 for a yard cleanup, $50 to mow a lawn, and $75 to mulch a yard. On average, it takes Tom 25 minutes for a yard cleanup, 40 minutes to mow a lawn, and 2 hours to mulch a yard. Tom's clients are Mr. Hansen, Ms. Martinez, and Mrs. Johnson. . Mr. Hansen paid $125 for lawn services this week. . Tom spent more than an hour at Ms. Martinez' house this week. • Mrs. Johnson wrote Tom a check for $165 for the week. Tom made $405 from his three clients this week.
Answer:
Ms. Martinez = Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.
Step-by-step explanation:
Tom made $405 for the week from his three clients
Mr. Hansen paid Tom $125
Mrs. Johnson paid Tom $165
405-165-125=115
Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)
The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:
Mr. Hansen paid $125 to mow a lawn and to mulch a yard.Mrs. Johnson paid $165 for the three servicesMs. Martinez paid $115 for a yard cleanup and to mulch a yard.Given that:
Cost
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Time
[tex]2\ hrs \to[/tex] Yard cleanup
[tex]40\ mins \to[/tex] Mow a lawn
[tex]2\ hrs \to[/tex] Mulching a yard
[tex]Total\ Earnings = \$405[/tex]
From the question, we understand that:
[tex]Mr.\ Hansen = \$125[/tex]
Recall that:
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$50 + \$75 = 125[/tex]
This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.
[tex]Mrs.\ Johnson= \$165[/tex]
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$40 + \$50 + \$75 =\$165[/tex]
This means that Mrs. Johnson paid $165 for the three services
The amount paid by Ms. Martinez is calculated as follows:
[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]
Substitute known values
[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]
[tex]\$290 + Ms.\ Martinez = \$405[/tex]
Collect like terms
[tex]Ms.\ Martinez = \$405 - \$290[/tex]
[tex]Ms.\ Martinez = \$115[/tex]
This means that Ms. Martinez paid $115
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$75 \to[/tex] Mulching a yard
Add up
[tex]\$40 +\$75 = \$115[/tex]
This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.
Read more about equations at:
https://brainly.com/question/2263981
In her college English class Marta wrote a total of 15,000 words in essays three of martas essays were 1,000 words long and the rest were 2,000 words long. How many 2,000 word essays did she write
Answer:
Martha wrote 6 2,000-word essays.
Step-by-step explanation:
15,000 (words total) - 3,000 (3 1,000-word essays) = 12,000 (words left for the 2,000-word essays).
Since the rest of the essays were 2,000 words, we can divide 12,000 by 2,000 to get 6.
Arundel Corporation has 7,000 shares of 6% $100 par cumulative preferred stock outstanding. Arundel paid all preferred dividends due for the year 2019 but paid no dividends in 2020. What amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders?
The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
Using this formula
2021 preferred shareholders(per year)=Per dividend * Dividend rate
Let plug in the formula
2021 preferred shareholders(per year)=[(7,000*$100)*6%]
2021 preferred shareholders(per year)=($700,000*6%)*2
2021 preferred shareholders(per year)=42,000*2
2021 preferred shareholders(per year)=84,000
Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
Learn more about preferred shareholders here:
https://brainly.com/question/3518273
In math how can you tell if something is a function.
Answer:
if the line dosent have the same x's
Step-by-step explanation:
Pls Help…
11 Alicia buys a car that costs $26610, and she makes a $3140 down payment on it. How much
does she still owe on the car? Give units.
Answer:
$23,470
Step-by-step explanation:
A down payment is how much you pay upfront for a car. So, how much she still owes will be the difference between the total cost and the down payment. Therefore, subtract $3,140 from $26,610; 26610-3140=23470. Then, since you are talking about money the units are dollars, $.
Anyone know the answer with explanation please I would appreciate it!
Answer:
[tex]\displaystyle QR = 12[/tex]
Step-by-step explanation:
First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).
We are given that PS = 18 and PR = 15, and we want to determine QR.
PS is the sum of PR and RS:
[tex]\displaystyle PS = PR + RS[/tex]
Substitute:
[tex]\displaystyle (18) = (15) + RS[/tex]
Solve for RS
[tex]\displaystyle RS = 3[/tex]
Since RS ≅ PQ:
[tex]\displaystyle RS = PQ = 3[/tex]
PS is also the sum of PQ, QR, and RS. Hence:
[tex]PS = PQ + QR + RS[/tex]
Since PS = 18 and RS = PQ = 3:
[tex](18) = (3) + QR + (3)[/tex]
Solve for QR:
[tex]QR = 12[/tex]
In conclusion, QR measures 12 units.
16. If there are 15 girls and 45 boys in a class. Then, find the percentage of boys and girls.
Answer:
25% and 75%
Step-by-step explanation:
15+45=60
girl = [tex]\frac{15}{60} *100[/tex] = 25%
boy = [tex]\frac{45}{60} *100[/tex] = 75%
Solve the equation. x + (–6) = –9
Answer:
-3
Step-by-step explanation:
9514 1404 393
Answer:
x = -3
Step-by-step explanation:
Undo the addition of -6 by adding the opposite of that to both sides of the equation.
x + (-6) +(+6) = (-9) +(+6)
x -6 +6 = -9 +6
x = -3
35 POINTS, i dont understand this question!!!! can someone give me a brief yet useful explanation??
Which expression is equivalent to 10° ?
o 10 - 10 - 10 - 10 - 10 - 10
O 6.6.6.6.6.6.6.6.6.6
0 10. 10. 10. 10.10
o I don't know.
Hi
Answer:
The first one: 10*10*10*10*10*10
Step-by-step explanation:
This is because the power of a number is how many times you multiply it by itself (example: [tex]2^{4}[/tex] = 2*2*2*2 because the power is 4 which means you multiply the base by itself 4 times, in this case the base is 2)
Answer:
A. 10 · 10 · 10 · 10 · 10 · 10
Step-by-step explanation:
[tex]10^6[/tex] is just 10 times itself, 6 times.
Write the integer that represents the situation. °F represents the change The temperature was 15°F. It dropped so that the temperature was 0°F. in temperature. °F represents the change in temperature.
Hi there!
»»————- ★ ————-««
I believe your answer is:
-15
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The temperature dropped from 15°F to 0°F. The change was negative in value since it dropped to a lower temperature. The temperature dropped by 15 degrees, so we would fill in the blank with -15.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red or yellow
Add the two fractions together but first rewrite the fractions with a common denominator.
4/15 = 8/30
3/10 = 9/30
8/30 + 9/30 = 17/30
Answer: 17/30
The fraction is 17/30.
What is fraction?fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
For example.
The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.
Given:
4/15 of the candies in a bag of Skittles are red
3/10 are yellow
So, make the denominator of both fraction same by LCM
4/15 = 8/30
3/10 = 9/30
Now,
8/30 + 9/30 = 17/30
Hence, the fraction is 17/30.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
a basket contains 3 green 4 yellow 5 blue and 6 red tickets one of which is randomly selected probability of drawing a green or a red ticket
Answer: 21
Step-by-step explanation:
Asap right now brainliest for the correct one
Answer:
Option BStep-by-step explanation:
The next step is the result of calculating the square roots:
[tex]4^{1/2} = 2[/tex]and
[tex]36^{1/2} = 6[/tex]This will make the step:
2 · [tex]3^{1/2}[/tex] + 6 · [tex]3^{1/2}[/tex] = 8 · [tex]3^{1/2}[/tex]Correct choice is B
eksponent
[tex]\sqrt[n]{x^n} = x[/tex][tex]\sqrt{x} = x^{1/2}[/tex]—
[tex] = 4^{ \frac{1}{2} } .3 ^{ \frac{1}{2} } + \sqrt{36} \times 3^ \frac{1}{2} [/tex]
[tex] = \sqrt{4} \times 3 {}^{ \frac{1}{2} } + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 2 \times 2 + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 4 + 6 \times \sqrt{3} [/tex]
[tex] = 4 + 6 \sqrt{3} [/tex]
