Answer:
C 18%
Step-by-step explanation:
To find the percent increase ,take the new amount and subtract the old amount
12.39 - 10.50 = 1.89
Divide this by the original amount
1.89/10.50 = .18
Multiply this by 100 to get the percent
.18*100% = 18%
Solve the system of equations using substitution. Show your work.
d + e = 6
d - e = 4
Answer:
d+e =6 d=5 and e=1
d-e=4
Step-by-step explanation:
5+1=6
5-1=4
simple math you have to think hard to get it right might look easy but it is not
Answer:
the solution is (1, 5)
Step-by-step explanation:
If d - e = 4, then d = e + 4. Substitute e + 4 for d in the first equation:
d + e = 6 → e + 4 + e = 6. Then 2e = 2, and e = 1.
Subbing 1 for e in the second equation, we get d + e = 6, or d + 1 = 6.
Thus, d = 5, and the solution is (1, 5)
write a subtraction problem that involves two positive integers and has a negative answer
Answer:
5-7=-2
Step-by-step explanation:
positive integers: 5 and 7
Subtraction 5-7 is equal to a negative answer: -2
If two positive integers are 5 and 3. Then the subtraction of the positive integers will be negative 2.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
The subtraction problem that involves two positive integers and has a negative value
Let x and y be the two integers. And y is greater than x.
Then we have
Then the difference between x and y should be negative
Then subtract y from x.
x - y = negative value
Let y be 5 and x be 3. Then we have
x - y = 3 - 5
x - y = -2
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A rectangle has a length that is equal to 4 less than twice the width. The function for the perimeter depending on the width can be expressed with the function f(w) = 6w – 8, where w is the width of the rectangle in centimeters.
Which statement describes how the reasonable domain compares to the mathematical domain?
Both the mathematical and reasonable domains include only positive real numbers.
Both the mathematical and reasonable domains include only positive whole numbers.
The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2.
The mathematical domain includes all real numbers, while the reasonable domain includes only whole numbers greater than 2.
Answer:
The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2
Step-by-step explanation:
In the real world, length and width only make sense when they are positive. For that to be the case, the width must be greater than 2. There is nothing in the description that restricts the values to integers.
Answer:
C) the mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2
Step-by-step explanation:
Center: (-2,5), radius:7
Answer:
(x + 2)² + (y - 5)² = 7²
Step-by-step explanation:
Incomplete question. I believe you meant, "write the equation of the circle with center at (-2, 5) and radius 7.
That would be:
(x + 2)² + (y - 5)² = 7²
The equation of the circle with center (-2,5) and radius 7 is (x+2)² + (y-5)² = 49.
Explanation:The question is asking for the equation of a circle with center at (-2,5) and radius 7. The general equation for a circle is (x-h)² + (y-k)² = r², with (h,k) as the center and r as the radius. In this case, h = -2, k = 5, and r = 7, so substituting these into the equation gives us the solution:
(x-(-2))² + (y-5)² = 7², which simplifies to (x+2)² + (y-5)² = 49.
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Based on the tree diagram below, what is the probability that a student
doesn't have lice, given that the student tested negative? Round your answer
to the nearest tenth of a percent.
The probability that a student doesn't have lice, given that the student tested negative is 99.40%.
Correct option is (D).
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
As per the given diagram:
The probabilities of different events is given in the diagram.
Probability that a student doesn't have lice, given that the student tested negative P(B):
[tex]\frac{P(Test \: shows \: negative) \times P(Student \:has\: no\: lice)}{P(Test\: shows \:negative) \times P(Student\: has\: no\: lice) + P(Test\: shows\: positive) \times P(Student\: has\: no\: lice)}[/tex]
= [tex]\frac{0.94 \times 0.72}{0.94 \times 0.72 + 0.06 \times 0.72}[/tex]
= 0.994
Which is equal to 99.40%
Hence, the probability that a student doesn't have lice, given that the student tested negative is 99.40%.
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A and B are independent events. P(A) = 0.40 and P(B) = 0.20. What is
PA and B)?
Answer:
The value of P( A and B ) is 0.08.
Step-by-step explanation:
When two events are independent then the probability of both occurring is equal to the product of probabilities of both events individually,
That is, If X and Y are independent events,
Then, P(X∩Y) = P(X) × P(Y),
or P(X and Y) = P(X) × P(Y),
Here, P(A) = 0.40 and P(B) = 0.20,
Hence, P(A∩B) = P(A) × P(B)
= 0.40 × 0.20
= 0.08
The value of [tex]\( P(A \text{ and } B) \)[/tex] is 0.08. So option(a) is correct.
To determine[tex]\( P(A \text{ and } B) \)[/tex] for two independent events ( A ) and ( B ) with given probabilities ( P(A) = 0.40 ) and ( P(B) = 0.20 ), follow these steps:
Step 1: Understand the Concept of Independence
For independent events, the probability of both events occurring together (the intersection of A and B, denoted as [tex]\( P(A \cap B) \))[/tex] is the product of their individual probabilities.
Step 2: Apply the Independent Event Formula
Since (A ) and (B ) are self-contained,
[tex]P(A) \times P(B) = P(A \cap B)[/tex]
Step 3: Substitute the Given Probabilities
Insert the given probabilities [tex]\( P(A) = 0.40 \)[/tex] and [tex]\( P(B) = 0.20 \)[/tex] into the formula:
[tex]\[ P(A \cap B) = 0.40 \times 0.20 \][/tex]
Step 4: Perform the Multiplication
Calculate the product of 0.40 and 0.20:
[tex]\[ P(A \cap B) = 0.40 \times 0.20 = 0.08 \][/tex]
Step 5: Interpret the Result
The probability that both events ( A ) and ( B ) occur is 0.08.
Therefore, the correct answer is (a) 0.08.
Complete Question:
A and B are independent events. P(A)=0.40 and P(B)=0.20 . What is P(A and B) ?
A. 0.08
B. 0.60
C. 0
D. 0.80
Eli made a wooden box in the shape of a rectangular prism. The box has a length of 5 inches, a width of 3 1/2 inches, and a height of 7 inches.
Part A. Eli wants to paint the entire box green and give the box to his dad as a gift. What is the total area that he will paint? Explain how you found your answer.
Part B. Can the box hold 22 cubic inches of packing peanuts? Explain how you know.
Answer:
Total surface area = 154 in²
Step-by-step explanation:
The prism has a total of 6 surfaces: top and bottom, 2 sides, and 2 ends.
We have to find the area of each top, side, end, and then add these together, and then multiply the result by 2 to finish the job.
Area of top: (5 in)(3.5 in) = 17.5 in²
Area of side: (5 in)(7 in) = 35 in²
Area of end: (3.5 in)(7 in) = 24.5 in²
Now add these three results together and multiply the sum by 2:
2( 17.5 in² + 35 in² + 24.5 in²) = total surface area = 154 in²
To answer the other part of this question: find the volume of this prism:
V = length · width · ht = (5 in)(3.5 in)(7 in) = 122 in³.
Yes, this box can definitely hold 22 in³ of packing peanuts.
Eli's box has a surface area of 154 square inches, and this is the total area he will need to paint. The box has a volume of 122.5 cubic inches, thus it is large enough to hold 22 cubic inches of packing peanuts.
Explanation:Part A: Calculating the Paint AreaTo calculate the total area Eli will paint on his wooden box, we need to find the surface area of the rectangular prism. The box has a length (L) of 5 inches, width (W) of 3.5 inches, and height (H) of 7 inches. The surface area (SA) of a rectangular prism is given by the formula:
SA = 2(LW + LH + WH)
Plugging in the dimensions, we get:
SA = 2(5 × 3.5 + 5 × 7 + 3.5 × 7) = 2(17.5 + 35 + 24.5) = 2(77) = 154 square inches
So, the total area Eli will paint is 154 square inches.
The volume of the box is calculated using:
Volume = L × W × H
Volume = 5 × 3.5 × 7 = 122.5 cubic inches
Since 122.5 cubic inches is greater than 22 cubic inches, the box can indeed hold 22 cubic inches of packing peanuts.
Suppose you roll two die. Find the number of elements in the event space of rolling a sum of 5. A. 3 B. 4 C. 5 D. 6
ANSWER
B. 4
EXPLANATION
The numbers on the first die are;
{1,2,3,4,5,6}
The numbers on the second die are;
{1,2,3,4,5,6}
The events of getting a sum of 5 are
2+3
3+2
1+4
4+1
There are four events.
The correct choice is B .
Solve the formula for the indicated variable.
A = 4πr² for r when r > 0
r =
Answer:
√(A/4π) = r
Step-by-step explanation:
A = 4πr²
r² = A/4π
r = √(A/4π)
Answer:
r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
Step-by-step explanation:
Given
A = 4πr² ( isolate r² by dividing both sides by 4π )
r² = [tex]\frac{A}{4\pi }[/tex]
Take the square root of both sides
r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
Need help with this two step equation
well, do a payments table of values, just like before for each mont hmm let's see
1st month.......................3500 + p(1)
2nd month....................3500 + p(2)
3rd month.....................3500 + p(3)
4th month.....................3500 + p(4)
5th month.....................3500 + p(5)
36th month..................3500 + p(36)
[tex]\bf \stackrel{\textit{total value}}{17900}=\stackrel{\textit{down payment}}{3500}+\stackrel{\stackrel{\textit{payments for}}{\textit{36 months}}}{36p} \\\\\\ 14400=36p\implies \cfrac{14400}{36}=p\implies 400=p[/tex]
The answer fast!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Julie drove a motorcycle in a race. She averaged 35 mph and began the race 0.25 hours ahead of the other drivers. The variable d represents Julie's distance driven, in miles. The variable t represents the number of hours since the other drivers began to race.
Which equation can be used to determine the distance Julie drove t hours into the race?
d=35t−0.25
d = 35t + 0.25
d=35(t+0.25)
d=35(t−0.25)
You would need to add 0.25 from t to get the number of hours ( this would be the total number of hours she has raced) and then multiply that by her speed.
The equation would be d = 35(t+0.25)
I need both really bad please and thank you
b and c is the answer .
Number 7 - Second answer
Number 8 - Third answer
Which functions is an exponential growth function?
Answer:
OPTION A
Step-by-step explanation:
The exponential growth functions has the following form:
[tex]y=a(b)^x[/tex]
Where "a" is the principal coefficient and "b" is the base greater than 1.
To know which of the functions shown has exponential growth, identify which one has a base greater than 1.
[tex]\frac{4}{3}=1.33>1[/tex]
Therefore, the exponential growth function is the function shown in the option A.
The answer is:
The correct answer is:
A) [tex]y=(\frac{4}{3})^{x}[/tex]
Why?To identify which of the given functions is an exponential growth function, we need to remember the form of the exponenial growth or decay functions.
We can define the exponential growth or decay function by the following way:
[tex]P(x)=y=StartValue*(rate)^{x}[/tex]
Where,
P(x) or y, is the function
Start value is the starting amount or value
Rate, is the growth or decay rate
x, is the variable (time)
Now, we can identify if the function is a exponential growth or decay function by the following way:
If [tex]rate>1[/tex] the function is an exponential growth function.
If [tex]rate<1[/tex] the function is an exponential decay function.
Now, we are given the function first function, A)
[tex]y=(\frac{4}{3})^{x}[/tex]
Where,
[tex]rate=\frac{4}{3}=1.33[/tex]
and we have that:
[tex]rate>1\\1.33>1[/tex]
So, the function is an exponential growth function.
Hence, the correct answer is:
A) [tex]y=(\frac{4}{3})^{x}[/tex]
Have a nice day!
The volumes of two similar solids are 1,331 m² and 216 m². The surface area of the larger solid is 484 m². What is the surface area of the smaller solid?
A. 864
B. 288
C.144
D. 68
The surface area of the smaller solid will be 144 m².
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volumes of two similar solids are 1,331 m² and 216 m². The surface area of the larger solid is 484 m².
The sides length will be
a³ = 1331
a = 11 m
Then the surface area will be
SA = 4(11²)
SA = 484 m²
Then the surface area of the smaller solid will be
Let x be the surface area of the smaller solid. Then we have
b³ = 216
b = 6 m
Then the surface area will be
x = 4 (6²)
x = 144 m²
Thus, the correct option is C.
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What is the upper quartile of the data
Answer:
6
Step-by-step explanation:
Q1 is 3, Q2 is 5, Q3 is 6, which is the upper quartile.
Help!!!
What is the equation of the line that is parallel to this line and passes through the point (-4,-6)?!?!
Answer: y= -6
Step-by-step explanation:
because you know the slope is 0, you simply plug in from there
y=mx+b
y=0x (no slope) -6 (where it intersects the y axis)
y= -6
The answer is: " y = - 6 " .
_________________________________________________
Step-by-step explanation:
_________________________________________________
To start, We find the equation of the given line ; (in "blue" ; within the "image attached");
in the slope-intercept form:
" y = mx + b " ;
in which:
"m = the slope = 0 " ; since there is no "slope";
"b" = the "y-intercept" ; or more precise, the value of the "y-coordinate" of the [point of the "y-intercept" — that is; the point at which the graph crosses the "y-axis" .].
Note: From the graph shown (Refer to image attached); the "y-intercept" is: " (0, 4) " ;
As such: " b = 4 " .
_____________________________
So, the equation; in "slope intercept format" ; that is: " y = mx + b " for the original line; is: "y = 0x + 4 " .
Let us simplify this equation:
" y = 0x + 4 " ; Note: " 0x = 0 " ;
{since: "0" ; multiplied by "any value" ; results in: "0" .}.
_____________________________
We are are left with " y = 4 " ;
_____________________________
Now, we are asked to find the equation of the line that is "parallel" to this line and that passes through the point: " (-4, 6) ".
If such a line is "parallel" to the original line, the slope would be the same, which is "0" .
So, " y = 0x + b" ;
_____________________________
Also, note the formula:
y - y₁ = m(x - x₁) ;
in which we consider the point: " (- 4, - 6) " ;
in which: " y₁ = -6 " ; and: " x₁ = -4 " ;
→ y - (-6) = m (x - (-4)) ;
→ y + 6 = m (x + 4) ;
Note: " m = 0" ;
So; " m(x + 4) " = (0)* (x + 4) = "0" ;
{since: "0" ; multiplied by "any value" ; results in: "0" .}.
→ We have:
y + 6 = 0 ;
→ Let us subtract "6" from each side of the equation;
to isolate "y" on one side of the equation;
& to write the equation for the 'perpendicular line' ; as follows:
→ y + 6 - 6 = 0 - 6 ;
to get:
→ y = - 6 ;
____________________________________________
The answer is: " y = - 6 " .
____________________________________________
Hope this helps!
Wishing you the best in your academic endeavors
— and within the "Brainly" community!
____________________________________________
Can someone explain how to solve this
The scale is simply the ratio between the distances in the plan and the actual distances. So, first of all, let's convert all lengths to the same unit measure:
[tex]18\text{ ft} = 216\text{ in}[/tex]
So, the scale is
[tex]\dfrac{216}{6.4} = 33.75[/tex]
which means that one inch in the plan is the same as 33.75 inches in the real world.
Answer:
1 : 33.75
Step-by-step explanation:
6.4 inches ⇒ 18 feet
6.4 inches ⇒ 18 x 12 = 216 inches
scale used
= 6.4 : 216
= 1 : 216 ÷ 6.4
= 1 : 33.75
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. Using the eight-part symmetry of the area under a normal curve, what is the probability that a randomly chosen exam score is above 300?
The probability is___
Answer:
The probability is 0.977
Step-by-step explanation:
We know that the average [tex]\mu[/tex] is:
[tex]\mu=500[/tex]
The standard deviation [tex]\sigma[/tex] is:
[tex]\sigma=100[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
We seek to find
[tex]P(x>300)[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{300-500}{100}[/tex]
[tex]Z=-2[/tex]
The score of Z = -2 means that 300 is -2 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 1 deviations from the mean has percentage of 2.35% for Z<-2
So
[tex]P(z>-2)=1-P(Z<-2)[/tex]
[tex]P(z>-2)=1-0.0235[/tex]
[tex]P(z>-2)=0.9765[/tex]
Final answer:
The probability of a randomly chosen exam score being above 300, given a normal distribution with a mean of 500 and a standard deviation of 100, is approximately 97.5%.
Explanation:
To find the probability that a randomly chosen exam score is above 300 on a college entrance exam with a mean score of 500 and a standard deviation of 100, we first calculate the z-score. A z-score is a measure of how many standard deviations an element is from the mean. Using the formula z = (X - \\(mu\\))/\\(sigma), where X is the score, \\(mu\\) is the mean, and \\(sigma\\) is the standard deviation, we get:
z = (300 - 500) / 100 = -2.
The z-score of -2 means the score is 2 standard deviations below the mean. The symmetry of the normal curve and the empirical rule tell us that approximately 95% of the scores lie within 2 standard deviations of the mean, or between 300 and 700 in this case. Given that 95% of the scores are between 300 and 700, and the curve is symmetrical, we find that roughly 2.5% of the scores are below 300. Therefore, the probability of a score being above 300 is 100% - 2.5% = 97.5%.
99 POINTS!!! Find the least common denominator for these two rational expressions b/b^2+2b+1 -6/b^2+7b+6
Answer:
49b^2 -36 = (7b -6)(7b +6)
so because there you missed some signs in these wrote choices
hope helped
Step-by-step explanation:
Answer:
[tex](b+1)^2(b+6)[/tex]
Step-by-step explanation:
The given rational expression is:
[tex]\frac{b}{b^2+2b+1}-\frac{6}{b^2+7b+6}[/tex]
We factor the denominators to get:
[tex]\frac{b}{(b+1)^2}-\frac{6}{(b+1)(b+6)}[/tex]
The least common denominator is the product of the highest powers of the common factors of the denominators.
Therefore the least common denominator is:
[tex](b+1)^2(b+6)[/tex]
What is the solution of"
Answer:
Hence final answer is [tex]x \leq -3[/tex] or [tex]2 \leq x<7[/tex]
correct choice is A because both ends are open circles.
Step-by-step explanation:
Given inequality is [tex]\frac{x^2+x-6}{x-7}\leq 0[/tex]
Setting both numerator and denominator =0 gives:
[tex]x^2+x-6=0[/tex], x-7=0
or [tex](x+3)(x-2)=0[/tex], x-7=0
or x+3=0, x-2=0, x-7=0
or x=-3, x=2, x=7
Using these critical points, we can divide number line into four sets:
[tex](-\infty,-3)[/tex], (-3,2), (2,7), [tex](7,\infty)[/tex]
We pick one number from each interval and plug into original inequality to see if that number satisfies the inequality or not.
Test for [tex](-\infty,-3)[/tex].
Clearly x=-4 belongs to [tex](-\infty,-3)[/tex] interval then plug x=-4 into [tex]\frac{x^2+x-6}{x-7}\leq 0[/tex]
[tex]\frac{(-4)^2+(-4)-6}{(-4)-7}\leq 0[/tex]
[tex]\frac{6}{-11}\leq 0[/tex]
Which is TRUE.
Hence [tex](-\infty,-3)[/tex] belongs to the answer.
Similarly testing other intervals, we get that only [tex](-\infty,-3)[/tex] and [tex](2,7)[/tex] satisfies the original inequality.
Hence final answer is [tex]x \leq -3[/tex] or [tex]2 \leq x<7[/tex]
correct choice is A because both ends are open circles.
Which equation could have been used to create this function table?
y = 5x
y = x + 3
y = x + 5
y = 3x
ANSWER
y=x+5
EXPLANATION
We can observe the following pattern among the x and y-values.
9=4+5
12=7+5
18=13+5
22=17+5
24=19+5
Hence, in general, the function rule is
y=x +5
Answer: Third option.
Step-by-step explanation:
You need to substitute a value of "x" (input value) provided in the table into each function and observe in the value of "y" obtained (output value) matches with the coorresponding output value shown in the table.
For [tex]x=4[/tex]
First option:
[tex]y = 5x\\y = 5(4)\\y=20[/tex]
Second option:
[tex]y = x + 3\\y = 4 + 3\\y=7[/tex]
Third option:
[tex]y = x + 5\\y = 4 + 5\\y=9[/tex]
(This one matches with the function table)
Fourth option:
[tex]y = 3x\\y = (3)(4)\\y=12[/tex]
Then the answer is: [tex]y = x + 5[/tex]
Mary is 2 years older than Ed, and 3 years ago Mary was twice as old as Ed. Find their present ages.
Answer:
My guess is
Mary:7
Ed:5
Step-by-step explanation:
Mary present age is 7 years while Ed present age is 5 years.
What is an equation?An equation is an expression that shows the relationship between two or more variables and number.
Let x represent Mary present age and y represent Ed present age, hence:
x = y + 2 (1)
And:
x - 3 = 2(y - 3) (2)
x = 7, y = 5
Mary present age is 7 years while Ed present age is 5 years.
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what is the volume of the pyramid? round to the nearest tenth.
Check the picture below.
[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} B=&\stackrel{8.4\times 8.4}{70.56}\\ h\approx& 8.6 \end{cases}\implies V=\cfrac{1}{3}(70.56)(8.6) \\\\\\ V=202.272\implies \stackrel{\textit{rounded up}}{V=202.3}[/tex]
Round 355,790 to the nearest thousand
356,000 would be the answer I believe
Answers:
4668.
Step-by-step explanation:
355790
3 +1 5 +1 5 +1 7+1 00
466800
=4668
In the game kazoo,teams lose one point each time they skip a turn. They earn a point each time their team guesses correctly Maria team skip skipped 8 turns. They guesses correctly 6 times. What was Maria's team's score?
Answer:
-2
Step-by-step explanation:
The team skipped 8 times, causing them to lose 8 points. They also guessed correctly 6 times, causing them to gain 6 points. 6 points won - 8 points lost = -2 points total.
A department store is having a 15% off sale on all winter coats. You purchase a winter coat for $275. The department store is located in a county with 7.25% sales tax. How much sales tax will you pay?
$275*.15(15%)=41.25 (this is the amount of the discount)
$275-$41.25=$233.75 (cost of jacket after discount)
$233.75* .0725=$16.946(round to $16.95, this is the amount of the sales tax).
If you want to know the total cost after tax just add $16.95 to the discounted price of $233.75. The price you pay for the jacket is $250.70.
Answer:
$16.95
Step-by-step explanation:
A department store is having a 15% off sale on all winter coats.
The cost of the winter coat that you purchased = $275
The price after discount of 15% = 275 -(15% × 275)
= 275 - (0.15 × 275)
= 275 - 41.25
= $233.75
Sales tax rate on that location = 7.25%
Sales tax which you would pay = 7.25% × 233.75
= 0.0725 × 233.75
= $16.9468 ≈ $16.95
You have to pay $16.95 sales tax.
What is the domain of the function y=[tex]\sqrt{x+6-7[/tex]
Answer:
If the function is [tex]y=\sqrt{x+6} -7[/tex] , the domain are all values of x greater than or equal to -6
If the function is [tex]y=\sqrt{x+6-7}[/tex] , the domain are all values of x greater than or equal to 1
Step-by-step explanation:
First case
we have
[tex]y=\sqrt{x+6} -7[/tex]
we know that
The radicand of the function must be greater than or equal to zero
so
[tex]x+6 \geq 0[/tex]
[tex]x\geq-6[/tex]
the solution is the interval---------> [-6,∞)
therefore
The domain are all values of x greater than or equal to -6
Second case
we have
[tex]y=\sqrt{x+6-7}[/tex]
so
[tex]y=\sqrt{x-1}[/tex]
we know that
The radicand of the function must be greater than or equal to zero
so
[tex]x-1 \geq 0[/tex]
[tex]x\geq 1[/tex]
the solution is the interval---------> [1,∞)
therefore
The domain are all values of x greater than or equal 1
plssss help!
Gina has 600 records.If Johnny were to double the number of records that he now owns he would still have fewer than Gina has (Math variable question)
Answer:
2x < 600 or x < 300
Step-by-step explanation:
x = Johnny's current amount of records.
HI I NEEEEEEEEEEEED HELP
Answer:
Step-by-step explanation:
Givens
a = 10b = 11h = 10Formula
V = (a * b)/2 * h
Solution
V = (10 * 11)/2 * 10
V = 110/2 * 10
V = 55 * 10
V = 550
For this case we have that by definition, the volume of the prism shown is given by:
[tex]V = A_ {b} * h[/tex]
Where:
[tex]A_ {b}:[/tex] It is the area of the base
h: It's the height
[tex]A_ {b} = \frac {b * h} {2}[/tex]
Where:
b: It is the base of the triangle
h: It's the height of the triangle
Substituting the values:
[tex]A_ {b} = \frac {10 * 11} {2}\\A_ {b} = 55 \ cm ^ 2[/tex]
Then, the volume is:
[tex]V = 55 * 10\\V = 550 \ cm ^ 3[/tex]
ANswer:
550