A number x is less than or equal to 7 or greater than 11.
write the inequality to the sentence^^^^
Answer:
x ≤ 7 or x > 11
Step-by-step explanation:
The lifespans of lions in a particular zoo are normally distributed. The average lion lives 1 2 . 5 12.512, point, 5 years; the standard deviation is 2 . 4 2.42, point, 4 years. Use the empirical rule ( 6 8 − 9 5 − 9 9 . 7 % ) (68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a lion living less than 1 0 . 1 10.110, point, 1 years.
Answer:
Probability of a line living less than 10.1 years is 16%.
Step-by-step explanation:
It is given that, lifespan of lines in a particular zoo are normally distributed.
Mean =12.5
standard deviation= 2.4
We need to find the P(x<10.1)
So, let's use Empirical rule.
mean± standard deviation = 68%
Mean±2 standard deviation= 95%
mean ±3 standard deviation=99.7%
Now, let's use this rule to solve our problem.↑
two integers between -32
Find the following limit lim(x² + 5x + 2e²) I→0 Select one: a. 2 b. 0 c. None of the answers is correct. d. 5 e. 7
The limit of the expression x² + 5x + 2e² as x approaches 0 is 2e². Option C.
To find the limit of the expression x² + 5x + 2e² as x approaches 0, we substitute the value of x into the expression and evaluate it.
Plugging in x = 0 into the expression, we get:
0² + 5(0) + 2e² = 0 + 0 + 2e² = 2e²
Therefore, the limit of the expression as x approaches 0 is 2e².
This result is obtained by evaluating the expression at the specific value x = 0. The limit gives us the behavior of the expression as x gets arbitrarily close to 0, but not necessarily equal to 0. In this case, no matter how close x gets to 0, the value of the expression remains 2e².
It's important to note that the value of e² is approximately 7.3891. Thus, the final answer can be expressed as 2 * 7.3891 = 14.7782.
Therefore, the limit of the expression x² + 5x + 2e² as x approaches 0 is approximately 14.7782. So Option C is correct.
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Which of these place values is found to the left of 100?
A hundreds
B ones
C thousands
D tens
Answer:
The answer is C
Step-by-step explanation:
Answer:
tens
Step-by-step explanation:
Find the next two terms in this
sequence.
2,6,10, 14, 18, [?][ ]
Answer: Our required two terms will be 18 and 22.
Explanation:
Since we have given that The sequence : 2,6,10,14........
Here, a = 4 common difference = d is given by
We also have a formula to find the nth term, i.e.
We need to find the next two terms , that is 5th and 6th term
So it will be
Hence , our required two terms will be 18 and 22.
work out the value of 16^-1/4
Answer:
1/2
Step-by-step explanation:
16^-1/4
We know that a^ -b = 1/a^b
1/( 16^1/4)
Rewriting 16 as 2^4
1/( 2^4^1/4)
We know that a^b^c = a^ (b*c)
1/( 2^(4*4))
1/2^1
1/2
Answer: 1/2 is 16^-1/4
Step-by-step explanation:
When you have a fraction as the exponent, it is the root. ^1/2 would be the square root. ^1/4 is the 4th root. That is 2.
A negative exponent means that it is the reciprocal.
The reciprocal of 2 is 1/2
That's the answer.
I hope this explanation helps you!
22.) a house is losing value at a rate 5.4% per year. In 2010 the house was worth $151, 000. Find the worth of
the house in 2015.
Answer: $110230 in 2015
Gabe wanted to put paneling on his living room wall. He knew the wall was 24 feet wide. Each sheet of paneling was 4 feet wide, and cost $12.49. How many sheets of paneling would he need?
Answer:
74.94
Step-by-step explanation:
As, we will see how many 4 feet panels will cover 24 feet wall
So, 24/4 = 6
So we need 6 panels
So, 6x 12.46 = 74.94
So no. of panels = 6
Total cost: $74.94
When f(x) = 2x and g(x) = x2+3, find g(f(x)).
Pls help I’m begging it’s due in like 30 min
Answer:
4x² + 3
Step-by-step explanation:
To obtain g(f(x))), substitute x = f(x) into g(x), that is
g(2x)
= (2x)² + 3
= 4x² + 3
henry says that his set of numbers includes all integers. lliana agrue's that he is wrong.
{-15, -5, -1/2, 0, 2, 16}
Which is the Best way to explain why lliana is correct?
A) lliana is correct because Henry included negative numbers.
B) lliana is correct because Henry included a fraction. Fractions are not integers.
C) lliana is correct because Henry included a zero. zero is not an integer.
D) lliana is correct because Henry included a positive number. Positive numbers are not integers.
Answer:
the answer is B bc integers dont include fractions
Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!
Answer: if simpliflying the answer is -4+3y
estimate. then divide using the standard algorithm and check 14.95/65
14.95 divided by 65 is approximately 0.2292.
To estimate and divide 14.95 by 65 using the standard algorithm, we follow these steps:
Estimate the quotient:
Based on the values given, we can estimate that 14.95 is close to 15, and 65 is close to 60. So, we can estimate the quotient to be around 15/60, which simplifies to 1/4.
Perform long division:
Now, let's divide 14.95 by 65 using the standard algorithm:
0.2292 (quotient)
______________
65 | 14.95
First, we divide 14 by 65, which results in a quotient of 0. Then, we bring down the decimal point and divide 149 by 65. The quotient is 2, and we have a remainder of 19. We bring down the next decimal place, which is 5, and divide 195 by 65. The quotient is 3, and there is no remainder.
The final quotient is approximately 0.2292.
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An aquarium has a base in the shape of a trapezoid. The base is 100
cm long at the front, 50 cm long at the back, and 40 cm wide (from
front to back). The height is 70 cm. What is the volume of the
aquarium in litres?
Answer:
[tex]Volume = 210L[/tex]
Step-by-step explanation:
Given
Base:
[tex]Front = 100cm[/tex]
[tex]Back = 50cm[/tex]
[tex]Width = 40cm[/tex]
[tex]Height = 70cm[/tex]
Required
Determine the volume (in litres)
First, we need to calculate the area;
Base on the parameters given, we have:
[tex]Area = \frac{1}{2}(Front + Back) * Width[/tex]
[tex]Area = \frac{1}{2}(100cm + 50cm) * 40cm[/tex]
[tex]Area = \frac{1}{2}(150cm) * 40cm[/tex]
[tex]Area = 75cm * 40cm[/tex]
[tex]Area = 3000cm^2[/tex]
[tex]Volume = Area * Height[/tex]
[tex]Volume = 3000cm^2 * 70cm[/tex]
[tex]Volume = 210000cm^3[/tex]
[tex]1cm^3 = 0.001L[/tex]
So:
[tex]Volume = 210000 * 0.001L[/tex]
[tex]Volume = 210L[/tex]
10 points
Mary Ann pays a monthly fee for her cable package which includes a TV
movie a month. She gets billed an additional charge for every additional
movie. During her first month, Mary Ann watched 5 additional movies and
her bill was $135.50. During the second month, Mary Ann watched 9
additional movies and her bill was $157.50. Write a function that
represents the total monthly cost C(x) of Mary Ann's cable package,
where x is the number of additional movies watched. *
Answer:
[tex]C(x)=108+5.5x[/tex]
Step-by-step explanation:
Function Model
To model a real-life situation, a mathematical function can be constructed in such a way it accurately represents the variables measured in the system.
We need to build a function that represents the total monthly cost C(x) of Mary Ann's cable package. It consists of a fixed amount that includes one movie a month and a variable amount depending on the additional movies she watches. Let's call x to the additional movies, and represent the cost as a linear function of the form:
[tex]C(x)=C_o+bx[/tex]
Where Co and b are to be determined with the data provided.
In the first month, Mary Ann watched 5 additional movies and paid $135.50. This gives us an ordered pair (5,135.50). Substituting into the general function:
[tex]135.50=C_o+5b\qquad \qquad[1][/tex]
In the second month, Mary Ann watched 9 additional movies and paid $157.50. The point (9,157.50) is also used in the function:
[tex]157.50=C_o+9b\qquad \qquad[2][/tex]
Subtracting [2] and [1]:
[tex]157.50-135.50=4b=22[/tex]
Solving for b:
[tex]b=5.5[/tex]
Using this value in [1]:
[tex]135.50=C_o+5*5.5=C_o+27.50[/tex]
Solving for Co:
[tex]C_o=135.50-27.50=108[/tex]
The function that represents the total monthly cost C(x) of Mary Ann's cable package is:
[tex]\boxed{C(x)=108+5.5x}[/tex]
Given g(x)=(x - 2)(2x+3)(3x –1), write the function in standard form.
Please help and thx u!
Answer:
g(x)=6x^(3)-5x^(2)-17x+6
Step-by-step explanation:
-30=5(x+1) solve for x
Answer:
x = -7
Step-by-step explanation:
-30 = 5(x+1)
First, multiply out the 5
-30 = 5x + 5
Then subtract 5 from each side
-35 = 5x
Finally, divide each side by 5
-7 = x
Answer:
x = -7
Step-by-step explanation:
-30 = 5 (x + 1)
5 x -6 = -30
so x + 1 needs to equal -6
-7 + 1 = -6
so x = -7
-30 = 5(-7 + 1)
The senior class is selling T-shirts for a fundraiser. The T-shirts were originally donated by an anonymous parent. The graph below shows the profit, in dollars, the senior class will earn based on the number of T-shirts sold.
Which of these best describes the profit per T-shirt the senior class makes from selling twenty T-shirts?
A. $2.00 per t-shirt
B. $1.00 per t-shirt
C. $0.50 per t-shirt
D. $0.25 per t-shirt
Answer:
A. $2.00
Step-by-step explanation:
if they sold 20 t-shirts and made $40.
$40 ÷ 20 = $2
Help me with this question i don’t understand what to do
Answer:
- 36
Step-by-step explanation:
First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).
g(18) = [tex]\sqrt{2(18)}[/tex] = [tex]\sqrt{36}[/tex] = 6, then
h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then
f(12) = - 3(12) = - 36
I need help with 10th grade algebra
Answer:
[tex]4[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\frac{15m}{n+1}-m^2[/tex]
m = 1
n = 2
Step 2: Substitute and Evaluate
[tex]\frac{15(1)}{2+1} -1^2[/tex]
[tex]\frac{15}{3} -1[/tex]
[tex]5 -1[/tex]
[tex]4[/tex]
If (x + 1) is a factor of f(x) = 3x^3– 11x2 - 6x +8, what is f(x) written in completely factored form?
f(x) = (x + 1)(3x - 4)(x + 2)
f(x) = (x + 1)(3x - 2)(x-4)
f(x) = (x + 1)(3x - 4)(x - 2)
f(x) = (x + 1)(3x + 2)(x-4)
f(x) = (x + 1)(3x-2)(x + 4)
Answer:
x=4 i did math
Step-by-step explanation:
HELP!!!! 15 points and marked brainliest!!!!
L, M and N are collinear. M is between L and N. LM = 3z + 1, MN = 3z + 1, and LN = 22. use the segment addition postulate to solve for x. Then determine the length of LM.
a: 6
b: 19
c: 3
d: 5
Answer:
11
Step-by-step explanation:
LN = LM + MN
=> 22 = 3z + 1 + 3z + 1
20 = 6z
z = 10/3
LM = (10/3)*3+1 = 11
:(((
Steven earns extra money babysitting. He charges $21.00 for 4 hours and $31.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges. The equation is y =
This equation shows that the amount Steven charges (y) is directly proportional to the number of hours he babysits (x) with a constant of proportionality of $5.25 per hour.
To write the equation to represent the relationship between the number of hours Steven babysits and the amount he charges, we need to first find the rate of charging per hour.
Then we can use this rate to write the equation.Let x represent the number of hours Steven babysits and y represent the amount he charges.We can find the rate of charging per hour by dividing the amount he charges by the number of hours he babysits.
Rate of charging per hour when Steven babysits for 4 hours = $21 ÷ 4 = $5.25/hourRate of charging per hour when Steven babysits for 6 hours = $31.50 ÷ 6 = $5.25/hour
We see that Steven charges a flat rate of $5.25 per hour for babysitting.Using this information, we can now write the equation to represent the relationship between x and y:y = 5.25x
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A pancake recipe asks for one and two thirds times as much milk as flour. If three and three quarters cups of
milk is used, what quantity of flour would then be needed, according to the recipe
Answer: 1 whole
Step-by-step explanation:
Choose all of the items that represent functions of an operating system.
random access memory (RAM) management
system input and output management
power supply surge protection
graphical user interface (GUI)
manages and runs software applications
Answer: I’m pretty sure it’s A, B, D, and E in other words 1, 2, 4, and 5
1245
i did it on edge:) im not ganna say trust me bc then im sus lol
u
Given the trinomial 4x2 – 26x + 12. Match the numbers with the correct spots on the factor diamond.
Top: Mult
Left
Right
Bottom: Add
<
-26
12
4
48
-24
-2
just look at 2 pictures
5/9v+w=z solve for v
Answer:
v = (9 z)/5 - (9 w)/5
Step-by-step explanation:
Solve for v:
w + (5 v)/9 = z
Hint: | Isolate terms with v to the left-hand side.
Subtract w from both sides:
(5 v)/9 = z - w
Hint: | Solve for v.
Multiply both sides by 9/5:
Answer: v = (9 z)/5 - (9 w)/5
(5 points)
Original Slope_____
Perpendicular____
also there is an option to put undefined
Answer:
The original Slope is y=-1/3x-2
The perpendicular slope would be y=3x+b
Step-by-step explanation:
Original Slope:
You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.
Perpendicular Slope:
The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular
if g(x)=1/5(x-1)+2, what is the value of g(11)
I NEED THIS FINISH pls help someone ?
Answer:
r=43
Step-by-step explanation:
put 2r+3 equal to 89 and solve
2r+3=89
subtract 3 from 89
then divide 2r from 86 and you get 43
