Answer:
Step-by-step explanation:
y = - 3x² - 24x - 42
y = - 3( x² + 8x + 14 )
y = - 3( x² + 2·4·x + 16 - 16 + 14 )
y = - 3[ ( x + 4 )² - 2 ]
y = - 3( x + 4 )² + 6
The diagram shows a regular hexagon and a regular pentagon.
Calculate the size of the angle marked x.
You must show all your working.
Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
What is a Regular Polygon?A regular polygon is any n-sided polygon that has equal interior angles and equal sides.
Thus:
Each angle of a regular hexagon = 120°Each angle of a regular pentagon = 108°Therefore:
x = 360 - 120 - 108
x = 132°
Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
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an ice cream factory makes 270 quarts of ice cream in 10 hours. how many quarts could be made in 12 hours? what was that rate per day?
Answer: The factory would make 324 quarts of ice cream every 12 hours.
They make 27 quarts of ice cream per hour, so if they made ice cream for 24 hours, they would be making 648 quarts every day.
Step-by-step explanation:
You would find how may quarts they make an hour by dividing 270 by 10 hours, which brings you out to 27 quarts an hour.
A pair of Nike sneakers was originally
$110. After a coupon code it cast $82.50.
.What percent discount was that coupon
For?
Answer:
its either 10% off or 25% off
Step-by-step explanation: sorry if this wasnt helpfull
Factor completely 3x2 + 5x + 1
Answer:
5x+6
Step-by-step explanation:
Im not sure if its 3*2 (like multiplying) or 3x times 2?
Find the slope of the line that passes through (1, 5) and (5, 6).
Answer: 1/4
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
= (6 - 5) / (5 - 1)
= 1/4
Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368
mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?
OA. 3.04 x 10-7 mm
OB. 4.32 x 10-7 mm
OC. 4.32 x 10-15 mm
OD. 3.04 x 108 mm
Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368
mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?
We can figure this out using scientific notation.
[tex]0.000000368 - 0.000000064[/tex]
[tex]= 3.04e-7[/tex]
Put 3.04e-7 in standard notation.
[tex]0.00000304[/tex]
Put 0.00000304 back into scientific notation, instead with a multiply sign.
Move the dot back, making the number in between 1-10.
In this case, we would move it back 7 times.
[tex]3.04[/tex] · [tex]10x^{-7}[/tex]
So the answer would be A.
2/5 x + 10 = 30 solve for x
x=
Answer:
90
Step-by-step explanation:
Step 1:
2/5x + 10 = 30 Equation
Step 2:
2/5x = 20 Subtract 10 on both sides
Step 3:
x = 20 ÷ 2/5 Divide
Step 4:
x = 20 × 5/2 Multiply
Answer:
x = 90
Hope This Helps :)
Find the equation of the linear function represented by the table below in slope-
intercept form.
x
o
1
2
3
4
у
4
10
16
22
28
to get the equation of any straight line we simply need two points off of it, hmm let's get two from this table
[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&4\\ 1&10\\ 2&16\\ 3&22\\ 4&28\\ \cline{1-2} \end{array} \begin{array}{llll} \\ \leftarrow \textit{let's use this point}\\\\ \leftarrow \textit{and this point} \end{array}[/tex]
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{22}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{22}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{12}{2}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{6}(x-\stackrel{x_1}{1}) \\\\\\ y-10=6x-6\implies y=6x+4[/tex]
Which logarithmic equation is equivalent to 25 = 32?.
The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
What is the Logarithm function?
A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]\rm a^c=b[/tex] can be written as [tex]\rm log_ab=c[/tex].
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
Given to us
2⁵ = 32
As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,
[tex]\rm 2^5=32\\\\log_25=5[/tex]
Hence, The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
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Luis is going to rent a kayak.
*It costs $18 per hour plus a flat fee of $50 for the insurance.
*Luis can spend $160, at most, to rent the kayak.
What is the maximum number of hours Luis can rent the kayak?
Answer:
6 hours
Step-by-step explanation:
so to do this your gonna
50 + 18 = 68$
then you just add 18 till you reach as close as you can get to 160$
68$+18$=86+18=104+18=122+18=140+18=158$
then you count the 18's
there is 6 18's witch means that Luis is can kayak for a max of 6 hours
The maximum number of hours Luis can rent the kayak gven the amount he can spend is 6 hours.
What is the maximum number of hours Luis can rent the kayak?The equation that represents the total amount of money he can spend is:
$160 = $50 + $18h
Where h represents the number of hours
In order to determine the value of h, take the following steps:
Combine similar terms
$160 - $50 = 18h
Add similar terms
$110 = 18h
Divide both sides by 18
h = 6 hours
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If 3x^2 is the length of a rectangle and the area is 12x^4 + 27x^ 2 , what must be the width?
Answer:
W= 4x²+9
Step-by-step explanation:
Find the value of x.
Answer:
x = 30°
Step-by-step explanation:
84° + 66° + x = 180°
150° + x = 180°
x = 180° - 150°
x = 30°
Answer:
The value of x is 30°
Step-by-step explanation:
The sum of angles of a triangle is equal to 180°
so, x°+66°+84° = 180°
=> x° + 150° = 180°
=> x° = 180°-150°
=> x = 30°
PLEASE HELP I DONT UNDERSTAND 40 POINTS
Answer:
a. reflection over y axis, then reflection over x-axis
b. xy=qh, xz=qj, yz=jh
c.Both triangles are congruent because all of the sides are congruent
Step-by-step explanation:
A line that forms and 90° angle with the original line is:
Answer:
a right angle
Step-by-step explanation:
50 points
what is the capital of Texas?
Answer:
Austin is the capital of Texas
Step-by-step explanation:
Use the data 10,12,11,10,7,6,7 to Find the mean of the data A.7 B.8 C.9 D.10 E.9.5
Answer:
The answer is C.9
Step-by-step explanation:
in order to fine the mean using number data you need to add all the number then divide by that much numbers. So for example 10+12+11+10+7+6+7 would equal 63. So since you have 7 numbers of data, you need to divide 7 and 63 (7÷63). 7÷63 equals 9. So therefore the answer is C.9.
Electra has $1,000 in her savings account. She earns 3.5% interest annually. How much interest has she earned after one year?
$3.50
$35
$350
$1,000
she has earnt 1000 x 3,5% = $35
ANSWER QUICKLY PLEASE!!!!!!
Answer:
6
Step-by-step explanation:
Draw the best line of fit, and it probably is 6.
A plumber has a piece of pipe that is 3-meter long. He needs to cut it into sections that are
10 centimeters long.
How many sections will he be able to cut?
Complete the explanation about how you found your answer.
It can be cut into
sections.
?
3 meter(s) is equal to
x 100 cm
cm.
imagine your a horse you ride 3miles north turn right and ride 3 miles east turn right again an ride 3 miles south make a left turn an ride 2 miles east then a sharp right turn and ride southwest for 6.4 miles an then finaly bride north 4miles what is the total miles covered
Answer:
distance is 21.4 miles
Step-by-step explanation:
add all numbers together
Answer:
21.4
Step-by-step explanation:
3+3+3+2+6.4+4
=6+3+2+6.4+4
=9+2+6.4+4
=11+6.4+4
=17.4+4
=21.4
i need help on this question ASAP!!
Answer:
for question 2 the answer is 8
Step-by-step explanation:
Hope this helps!
If not I am sorry.
work out the value of 4bc-b when b=-3 and c=2
Answer:
-18
Step-by-step explanation:
4bc-b
Let b = -3 and c=2
4 * (-3)* 2 - (-3)
-24 +6
-18
Answer:
-21
Step-by-step explanation:
4(-3)2-(-3)
A point on AD is chosen randomly. Identify the probability that the point is not on AB or CD.
The probability that a point is not on AB is the probability that a point is on BC
The probability that a point is not on AB or CD is 5/14
How to determine the probability?From the figure, we have the following parameters:
AD = 28
AB = 12
BC = 10
CD = 6
if a point is not on AB or CD, then the point would be on BC
This means that we calculate the probability that a point is on BC
So, we have:
P(BC) = BC/AD
This gives
P(BC) = 10/28
Simplify
P(BC) = 5/14
Hence, the probability that a point is not on AB or CD is 5/14
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What is the LCM of 9 and 18
Answer:
18
Step-by-step explanation:
product of prime factors
9=3^2
18=2*3^2
LCM of 9 and 18 = 2*3^2
=18
Find the missing length indicated leave your answer in simplest radical form
Answer:
If a third of your line is 36 cm lets suppose then times that number by 3 and that gives you a rough estimate of where you should be thus in this case B is your best choice. This isn't a mathematical way of solving it, just basic common sense.
Step-by-step explanation:
a. Describe the three ways in which two lines may be related.
b. Give examples from the real world to illustrate each of the relationships described in part a.
a. Which of the following is the correct way to relate two lines? Select all that apply.
a.parallel
b.intersecting
c.skew
d.congruent
e.collinear
Answer: Correct answers are B, D,E
Step-by-step explanation:
johnny has 5 chocolate bars, jimmy being the bully eats 4 of the bars johnny had. How many do johnny have left??
Answer:
1
Step-by-step explanation:
5-4 = 1
-3|5x-6|+24>=15
there is 2 solutions plz help me asap i need it in less than 2 hours
Answer:
5X+27=15
5x=12
x=5/12
I believe
Answer:
3/5≤ x ≤ 9/5
Step-by-step explanation:
pls heart and give me brainliest i would really appreciate it
6. Ten more than 6 times a number is 4 less than 4 times the number. Find the number.
Answer:
Equation= 10+6x=4x-4
Answer= x is -7
Step-by-step explanation:
Vanessa deposits $24,000 into each of two savings accounts. Account I earns 2. 4% interest compounded annually. Account II earns 2. 4% annual simple interest. There are no additional deposits or withdrawals. What is the sum of the balances of these accounts at the end of 5 years? $53,760. 00 $53,901. 59 $54,043. 20 $56,640. 0.
The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
How to calculate simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
For the considered case, we're given that:
Initial amount in both accounts deposited = $24,000 = PType of interest: Compound interest in first account and simple interest in second accountUnit of time: AnnuallyRate of interest = 2.4% annually = RTotal unit of time for which amount is to be calculated: 5 years = T
In first account, the final amount at the end of 5 years is evaluated as:
[tex]A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4 \approx 27021.59\: \rm (in \: dollars)[/tex]
In second account, the final amount at the end of 5 years is evaluated as:
[tex]A = 24000 + \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}[/tex]
Total amount after 5 years in these accounts = [tex]27021.59 + 26880 = 53901.59[/tex] (in dollars)
Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)
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