how many solutions does the equation 5 + -5 + -12 equals 14 - 2 have?
0, 1, 2, many
Hey there!
5 + -5 + -12 = 14 - 2
ASSUMING….
5 - 5 - 12 = 14 - 2
0 - 12 = 14 - 2
-12 = 12
-12 ≠ 12
Thus, your answer should be:
FALSE or simply 0 solutions
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A straight waterslide is 175 feet above ground and is 200 feet long. What is the angle of depression to the bottom of the slide?
Step-by-step explanation:
see this this will help you
Find the area of the circle shown.
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
radius is 1.5 cm
Answer:
7.1 cm^2
Step-by-step explanation:
Area = pie * radius^2
Area = pie * 1.5^2
= 7.0685
Answer: 7.1 cm ^2
Step-by-step explanation:
y-3x=0
2y+5x=11
solve
with elimination and substitution method
Answer:
x=1, y=3
Step-by-step explanation:
using sublimation method
y-3x=0 ....eqn(1)
2y+5x=11....eqn(2)
from eqn 1
y-3x=0
y=3x
substitute y=3x into eqn 2
2y+5x=11
2(3x)+5x=11
6x+5x=11
11x=11 (divide both sides by the coefficient of x)
x=1
since x=1 , substitute x=1 into eqn 1 to get y
y-3x=0
y-3(1)=0
y-3=0
y=3
Using elimination method
y-3x=0....eqn (1)
2y+5x=11....eqn (2)
multiply eqn 1 through by 2 and eqn 2 through by 1 to eliminate y
2y-6x=0.... eqn 3
2y+5x=11.... eqn 4
subtract eqn 4 from from eqn 3
-11x=-11 (divide both sides by the coefficient of x)
x=1
substitute x=1 into eqn 2 to get y
2y+5x=11
2y+ 5(1) =11
2y+5=11
2y=11-5
2y= 6 (divide both sides by the coefficient of y)
y=3
Please help me ASAP!! Calling all experts, will give brainliest too!
The height of a candle decreases from 10 centimeters to 6 3/4 centimeters after burning for 1/2 hour
The true statement is as follows:
The product 13 / 4 × 2 can be used to find the unit rate in cm per hour.
After one hour, the height of the candle will have decreased by 6 1 / 2 cm.
What is rate?Rate is the ratio between two related quantities in different units.
The height of the candle decreases from 10 cm to 6 3 / 4 cm after burning for 1 / 2 hours.
6 3 / 4 cm = 27 / 4 cm
10 - 27 / 4 = 40 - 27 / 4 = 13 / 4 cm
Therefore, 13 / 4 cm of candles were lost in 1 / 2 hours.
Rate = 13 / 4 × 2 = 26 / 4 = 13 / 2 cm per hour
Therefore, the product 13 / 4 × 2 can be used to find the unit rate in cm per hour.
13 / 4 + 13 / 4 = 13 + 13/ 4 = 26 / 4 = 13 / 2 = 6 1 / 2 cm.
Therefore, after one hour, the height of the candle will have decreased by 6 1 / 2 cm.
learn more on rate here: https://brainly.com/question/18188023
i need some urgent help
the thing is to factor the expressions trinomial way
if you want extra points you could help me with my past 2 questions they are 50 each someone gave me a wrong answer so i would really appreciate some help with that too but that's optional
#1
15x²+4x-415x²+10x-6x-45x(3x+2)-2(3x+2)(5x-2)(3x+2)#2
16a²-50a+362(8a²-25a+18)2(8a-9)(a-2)#3
63n²+126n+483(21n²+42n+16)Not more factorable
Please help. I cant figure it out
A cylinder and its dimensions are shown in the diagram. Which equation can be used to find V, the volume of the cylinder in cubic centimeter? I think A. is the answer :)
Answer: it’s simply a
Step-by-step explanation: X =bsquare
Multiply This Equation & Simplify:
Question Is In The Photo...
Answer:
= 12 x^8
Step-by-step explanation:
In 2018, RAND Corporation researchers found that 71% of all individuals ages 66 to 69 are adequately prepared financially for retirement. Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement.
In a random sample of 300 people from the 66-69 age group who did not complete high school, 165 were not prepared financially for retirement. What is the p-value for your hypothesis test (to 4 decimals)? If your answer is zero, enter "0".
Using the z-distribution, as we are working with a proportion, it is found that the p-value of the test is of 0.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 71%, that is:
[tex]H_0: p = 0.71[/tex]
At the alternative hypothesis, it is tested if the proportion has decreased, that is:
[tex]H_1: p < 0.71[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, we have that the parameters are:
[tex]n = 300, \overline{p} = \frac{165}{300} = 0.55[/tex]
Hence, the value of the test statistic is found as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.55 - 0.71}{\sqrt{\frac{0.71(0.29)}{300}}}[/tex]
z = -6.11
What is the p-value of the test?Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -6.11, it is found that the p-value is of 0.
More can be learned about the z-distribution at https://brainly.com/question/26454209
please answer the question pls
Find the product of the following by writing one of numbers as the sum or difference of two numbers -
785*105
1006*95
3096*91
Answer:
Step-by-step explanation:
Use distributive property: a*(b+c) =a*b +a*c
1) 785 * 105 = 785 * (100 + 5)
= 785*100 + 785*5
= 78500 + 3925
= 82425
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2) 1006 * 95 = (1000 + 6) *95
= 1000*95 + 6*95
= 95000 + 570
= 95570
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3) 3096*91 = 3096 * (100 - 9)
= 3096*100 - 3096*9
= 309600 - 27864
= 281736
Which choice is equivalent to the expression below?
√-125
A. 5i√5
B. -5i
C. 5i√-5
D. 5i
E. √125
Answer:
5i√5
Step-by-step explanation:
Remark
125 factors
It is factored into 5*5*5
The rule for √5*5*5 is that two can be taken outside the square root sign. I is placed in front of the root sign like 5√ and the other 5 is thrown away.
The remaining 5 is left under the root sign
As usual
√-1 is i is taken outside the root sign
Solution
5i √5 is what you get.
What is the circumference of a circle with a radius of 8?
Use 3.14 for pi.
Also, can someone tell me what the pattern is, here? I need to know, I can never understand.
Answer:
Step-by-step explanation:
C≈50.27
r Radius
Solution
C=2πr=2·π·8≈50.26548
A pair of equations is shown below: y = 3x - 5 y = 6x - 8
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Answer:
See below
Step-by-step explanation:
y = 3x -5 <===== multiply this equation by -2 to get
-2y = -6x+10 now add it to the other equation(this will ELIMINATE x)
y = 6x-8
-y = +2
y = -2 then sub this in to oneof the quations to find x = 1
the two points will intersect at x,y = 1,-2 (because this satisfies both of the equations)
PART A
We start with: y = 3x - 5 y = 6x - 8
Elimination:
If we have two equations that = y, then we can make them equal each other:y = y3x - 5 = 6x - 8We then collect the x term together:3x - 6x = -8 + 5-3x = -3We can divide both sides by -3:x = 1Substitution
We can make one equation turn from a y= to an x=I decided to go with y = 3x - 5 (but it doesn't matter)We basically want to get it into x=y = 3x - 5y + 5 = 3x3x = y + 5 (I'm just flipping the equation to get x on the left for easiness)We then divide both sides by 3:x = [tex]\frac{y + 5}{3}[/tex]Don't forget we've also got y = 6x - 8So we just put x in!y = 6 × [tex]\frac{y + 5}{3}[/tex] - 8y = [tex]\frac{6}{3}[/tex] × (y + 5) - 8y = 2 × (y + 5) - 8y = 2y + 10 - 8y = 2y + 2Rearrange to get y on one side:-y = 2Times both sides by -1:y = -2We can now go back to...x = [tex]\frac{y + 5}{3}[/tex]By putting y = -2 in:x = [tex]\frac{-2 + 5}{3}[/tex]x = [tex]\frac{3}{3}[/tex] = 1PART B
We can find where they intersect/overlap by using elimination/substiutionWe've already covered both, and we get x = 1This means we've already go the x-coordinate of our point where the lines meet(x, y) = (1, ?)We just put our value of x into either equation (since x = 1 is where they meet)I'll go with y = 6x - 8y = 6 × 1 - 8y = 6 - 8 = -2We end up with (1, -2)!!!P.S.:
I've attached a screenshot of the graphs, notice how they meet at (1, -2)
The measure of one acute angle in this right triangle is 28°.
What is the measure of the other acute angle?
A. 22°
B. 28°
C. 32°
D. 62°
Answer:
[D] 62°
Step-by-step explanation:
A right triangle = 90 degree angle
A triangle = 180 degrees
Therefore,
90 + 28 = 118
180 - 118 = 62
Hence, the measure of the other acute angle is 62
Thus, the answer is [D] 62 degree
Kavinsky
Answer:
D. 62
Step-by-step explanation:
x(x+1)(x+2)=0
solve for x
Answer:
-2; -1; 0.
Step-by-step explanation:
x(x+1)(x+2)=0;
[tex]\left[\begin{array}{ccc}x=0\\x+1=0\\x+2=0\end{array} \ = > \ \left[\begin{array}{ccc}x=0\\x=-1\\x=-2\end{array}.[/tex]
Choose the solution to this inequality.
72≥b+95
A. b≥25
B. b≤1710
C. b≤−23
D. b<227
Answer:
C
Step-by-step explanation:
72≥b+95
Group like them
72-95 ≤ b
the sign changes due to the negative
-23 ≥ b
Given the functions:
f (x) = -6x - 19
g(x) = -11x + 9
h (x) = 17x +4
Find f (3)
Answer:
f(3) = -37
Step-by-step explanation:
f (x) = -6x - 19
Let x = 3
f (3) = -6*3 - 19
= -18-19
= -37
Sally rents a life jacket for a one-time fee of 5$. She rents a canoe for $15 per hour. Which expression represents the total cost, in dollars, to rent the life jacket and the canoe for h hours?
A. 5+15h
B. 10h
C. 15+5h
D. 20h
Answer:
A. 5+15h
Step-by-step explanation:
{96/[36/3-(18 x 2 - 30)]} / (31-16+1)
Answer:
-1/2
Step-by-step explanation:
pemdas rules
1. 18 x 2 - 30 = 6
2. 3-6= -3
3. 36/-3 = -12
4. 96/-12 = -8
5. (31-16+1) = 16
6. -8/16 = -1/2
find the average rate of change of f(x) = 3x - 7 over the interval 1 ≤ x ≤ 5
Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
Step-by-step explanation:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
A point is chosen randomly on KN. Identify the probability that the point is on KL or MN. The figure shows segment K N with two points L and M on it in order from left to right. The length of segment K L is 3 units. The length of segment L M is 7 units. The length of segment M N is 8 units.
A point is chosen randomly on KN. The probability that the point is on KL or MN would be 11/18.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
The length of segment K L is 3 units.
The length of segment L M is 7 units.
The length of segment M N is 8 units.
The length of the segment KL + MN
KL + MN = 11
The total length of the segment KN
KL +LM + MN
3 + 7 + 8 = 18
SO, The probability that the point is on KL or MN = 11/18
Learn more about probability here;
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Round the number. Write the result as the product of a single digit and a power of 10. 0.0000001801
Answer:
2x10 to the -7 power
Step-by-step explanation:
hope this helps!
Find the sticker price and the dealer's cost for the Bobcat SX with a base price of $13,568.00. Options include air conditioning for $765.00, turbo for $643.00, towing package for $236.00, and custom wheels for $422.00. Destination charges total $365.00. The dealer pays 90% of the base price and 65% of the options.
Which algebraic expression is equivalent to the expression below?
(3n+13) + (6+7n)
A. 9n + 20
B. 16n + 13
C. 10n + 19
D. 22n + 7
Answer: C) 10n +19
Step-by-step explanation:
Let's simplify the provided expression (3n+13) + (6+7n)
Since this is just addition we can just remove the parenthesis and use the commutative property to make adding easier
3n+13+6+7n
3n+7n+13+6
10n+19
Find the sum of the first 150 positive even integers.
Answer:
Sum of first 150 positive even integers is 22650Step-by-step explanation:
We know that first 150 postive even Integers are 2,4,6,8,10... 300.
Here,
First term (a) = 2 Comman difference (d) = 4 - 2 = 2 Total terms (n) = 150Last term (aₙ) = 300[tex]\\[/tex]
Substituting values in the formula:
[tex] \\ :\implies \sf \: \: S_{n} = \dfrac{n}{2} (a + a_{n}) \\ \\[/tex]
[tex] :\implies \sf \: \: S_{n} = \dfrac{150}{2} (2 + 300) \\ \\ [/tex]
[tex] :\implies \sf \: \: S_{n} = 75(302) \\ \\ [/tex]
[tex] :\implies \: \:{ \underline{ \boxed{ \pmb{ \pink { \rm{S_{n} = 22650 }}}}}} \\ \\[/tex]
Sum of first 150 positive even integers is 22650Answer:
The number series 2, 4, 6 , 8. . . . , 150.The first term (a) = 1The common difference (d) = 4 – 2 = 2Total number of terms (n) = 150last term (an) = 300Formula for finding sum of nth terms =
n/2 × (a + an)
putting the known values ,
Sum = 150/2 × ( 2+300)
Sum = 75 × 302
Sum of first 150 positive even integers = 22650
Least to greatest questions 7 and 8
Answer:
7.
4.7 * 10^14 , 9.99 * 10^14 , 2.9 * 10^15 , 4.5 * 10^15
8.
9.99 * 10^-8 , 4.8 * 10^-8 , 9.99 * 10^-4 , 6.5 * 10^-4
Evaluate tan (x + pi/2) for x = pi/2
Answer:
0
Step-by-step explanation:
tan(x + [tex]\frac{\pi }{2}[/tex] ) ← substitute x = [tex]\frac{\pi }{2}[/tex]
tan([tex]\frac{\pi }{2}[/tex] + [tex]\frac{\pi }{2}[/tex] )
= tanπ
= 0
SAT scores are used by colleges and universities to evaluate undergraduate applicants. The test
scores are normally distributed. A random sample of 65 student scores has a mean of 1489 and
standard deviation of 306.
Find the 95% confidence interval for the population mean based on this sample and round to
two decimal places.
Using the t-distribution, it is found that the 95% confidence interval for the population mean is (1413.18, 1564.82).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 65 - 1 = 64 df, is t = 1.9977.
The parameters of the interval are given as follows:
[tex]\overline{x} = 1489, s = 306, n = 65[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 1489 - 1.9977\frac{306}{\sqrt{65}} = 1413.18[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 1489 + 1.9977\frac{306}{\sqrt{65}} = 1564.82[/tex]
The 95% confidence interval for the population mean is (1413.18, 1564.82).
More can be learned about the t-distribution at https://brainly.com/question/16162795