Solve for x. Round answers to the nearest hundredth. 1. 16 9 х
Answers
Answer:
\(x=13.23\)Explanation: We can find the value of x using the Pythagorean theorem, this is done as follows:
\(\begin{gathered} 9^2+x^2=16^2 \\ x^2=16^2-9^2\rightarrow x=\sqrt[]{16^{2-}9^2} \\ x=\sqrt[]{256-81}=\sqrt[]{175}=13.23 \\ \therefore\rightarrow \\ x=13.23 \end{gathered}\)Related Questions
Chilling and Dying.
Same nights every night.
The pandemic got to go no cap.
Answers
Answer:
yes
Step-by-step explanation:
yes
very poetic
Identify the next three numbers in this sequence : 2,8,4,16,12
Answers
Answer:
18, 14, 20
Step-by-step explanation:
Answer:
I got A 18,14, and 20
Step-by-step explanation:
PLZ CORRECT ME IF I AM WRONG PLZ AND THANK YOU
An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Answers
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
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Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test
190 g = _____________ kg
Answers
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answers
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
f(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).
Answers
Answer:
f(x) * g(x) is 8x^2 + 8x -6
f(x) - g(x) is -2x + 5
Step-by-step explanation:
When finding the answer, we can notice they already give the values for the needed answers.
The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).
The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).
f(x) * g(x)
(2x+3) * (4x-2)
To find the answer, we need to distibute the 2x+3 into 4x-2.
To distribute, we do :
2x * (4x-2) + 3 * (4x-2)
First we distribute the 2x
2x * 4x = 8x^2 and 2x * -2 = -4x
8x^2 - 4x
Next we distibute the 3
3 * 4x = 12x and 3 * -2 = -6
12x - 6
Now we can combine them by adding like terms to get the asnwer:
8x^2 = 8x^2
-4x + 12x = 8x
-6 = -6
The first answer is 8x^2 + 8x -6
Second question:
Since we already know the values for f(x) and g(x), all we have to do is plug in the values.
(2x+3) - (4x-2)
This time, since we are subtracting, all we have to do is subtract like terms.
2x - 4x = -2x
3 - (-2) = 5
The second answer is -2x + 5
Vectors x and y have lengths 18 and 24 respectively, and the cosine of the angle between them is StartFraction 5 Over 9 EndFraction. Find the scalar projection of x onto y and their dot product.
Answer:
xy = 10
x · y = 240
Answers
xy = 10
x · y = 240
It is indeed correct on Edge 2021
Answer:
10
240
Step-by-step explanation:
Edge 2021
What is the area of the trapezoid?
5 km
4 km
13 km
9 km
Answers
Answer:
21 km²
Step-by-step explanation:
A = ᵃ ⁺ ᵇ/2 (h)
A = 5 + 9/2 (3)
A = 14/2 (3)
A = 7 x 3
A = 21 km²
Solve equation by using the quadratic formula.
6x² – 2x=8
Answers
use quadratic formula to find the zeros
a= 6 b= -2 c= -8
Answer:
\(x = \frac{4}{3}- 1\)
x=4/3 , -1
Gate posts are parallel and m<4 =47, what is m<1
Answers
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
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Need help fast response
Answers
The value of (p o g)(-1) is -2 and the value of (q o p)(-1) is 15 which represents the composite of the function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function p and q:
p(x) = 2x - 2
q(x) = x² - 1
= (p o q)(-1)
Find the value of q(-1):
q(-1) = 0
Plug the above value in the function p(x):
(p o q)(-1) = p(q(-1)) = -2
= (q o p)(-1)
Find the value of p(-1):
p(-1) = -4
(q o p)(-1) = q(p(-1)) = 15
Thus, the value of (p o g)(-1) is -2 and the value of (q o p)(-1) is 15 which represents the composite of the function.
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100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement
Answers
Answer:
True, False, False-------------------------------------------
Let's simplify left sides of each statement and compare with right sides:
\(3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True\)\(2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False\)\(e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False\)NO LINKS!! URGENT HELP PLEASE!!
Please help with #3
Answers
Answer: See the flowchart proof below.
Explanation:
The given info is indicated by the marked angles. We also use the reflexive property to say that BG = BG. After that we use the ASA (angle side angle) property to prove the triangles are congruent. The triangles are mirrored clones of one another. The mirror line is segment BG.
A flowchart proof that proves that the two triangles are congruent is shown in the image below.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
In this context, we can prove that triangle BIG is congruent with triangle BAG by completing the two-column proof shown above with the following reasons:
Statements Reasons
∠IBG ≅ ∠ABG Given
∠IGB ≅ ∠AGB Given
BG ≅ BG Reflexive property
ΔBIG ≅ ΔBAG ASA Congruence
Based on the angle, side, angle (ASA) similarity theorem, we can logically deduce that triangle BIG and triangle BAG are both congruent.
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1 - Fill the space blanks
If we make a sequence selecting three elements from three different elements
{1, 2, 3} and we permit overlapped elements for the sequence, then the total
number of sequences is [ ] . If we do not take into account the order, the total
number of the selections is [ ] .
I'm totally lost in this, what is overlapped elements? This is about what math content? And what is the answer? Please i need help.
Answers
Answer:
The first part is of permutations.
We are selecting 3 elements from three different elements {1,2,3}
Points given:
We permit overlapped elements for the sequence. Here "overlapped elements" indicates that repetition is allowed.
So when repetition is allowed and order matters, we use permutations.
Formula to compute permutation is:
Lets say n is the three elements {1,2,3}
We have to select 3 elements so r = 3
Total number of selections using permutations = \(n^{r}\) = n × n × n
= 3³ = 3 * 3 * 3
= 27
This means if we have 3 different elements then we have have 3 choices each time for making a sequence.
Hence If we make a sequence selecting three elements from three different elements {1, 2, 3} and we permit overlapped elements for the sequence, then the total number of sequences is 27.
Step-by-step explanation:
The second part indicates combinations.
This is because the statement of the question: If we do not take into account the order.
When the order does not matter, we use combinations.
So when the order does not matter and repetition is allowed we use the following formula:
Total number of selections using combinations = (r + n - 1)! / r! (n - 1)!
= (3 + 3 - 1) ! / 3! (3 - 1)!
= (3 + 2) ! / 3! (2!)
= 5! / 3! 2!
= 5*4*3*2*1 / (3*2*1 ) (2*1)
= 120 / 6 * 2
= 120 / 12
= 10
So these are the number of combinations of 3 elements taken 3 at a time with repetition.
The total number that will be selected in the permutations is 27.
How to calculate the permutations?Based on the information given, the total number of permutations will be:
= n³
= 3 × 3 × 3
= 27
Also, the total number of selection using combination will be:
= (3 + 3 - 1)! / 3!(3 - 1)!
= 120 / (6 × 2)
= 120/12
= 10
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Help me please!!!
Whoever answers right gets brainliest!
Answers
The equation that best describes the relation is y = -x+1 ( optionD)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Taking x(0,1) and y ( 1,0)
therefore the slope of the line
= 0-1/1-0
= -1/1 = -1
the equation a line is given as
y-y1 = m(x-x1)
= y-1 = -1( x - 0)
= y-1 = -x
y = -x +1
therefore the equation that describe relation is y = 1-x or y = -x+1
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What is the surface area of the right cone below?
14
8
A. 176units2
B. 224units2
C. 167units2
D. 896units2
Answers
may be 176 units 2.
i dont know correctly i think this is the answer
Identify the axis of symmetry, vertex, and range for the quadratic function.
Answers
A local arcade is hosting & tournament in which contestants play an arcade game with possible scores ranging from 0 to 20. The arcade has set up multiple game tables so that all contestants can play the game at the same time; thus contestant scores are independent Each contestant'$ score will be recorded as he Or she finishes, and the contestant with the highest score is the winner.
After practicing the game many times, Josephine_ one of the contestants, has established the probability distribution of her scores, shown in the table below. Crystal, another contestant; has also practiced many times_ The probability distribution for her scores is shown in the table below as well.
Josephile' Distribulion Crystal's Distribution Score 16 17 18 19 Score 17 18 19 Probability 0.10 0.30 0.40 0.20 Probability 045 0,40 0.15 a. Calculate the expected score for cach player
b. Suppose that Josephine scores 6 and Crystal scores 17. The difference (Josephine minus Crystal) of their scores is -1. List all combinations of possible scores for Josephine and Crystal that will produce a difference (Josephine minus Crystal) of -1 and calculate the probability of each combination c. Find the probability that the difference (Josephine minus Crystal) in their scores is -1
d. What is the probability that Josephine will score a 9 for the first time the 4th time that Josephine and Crystal play the game.
e. If Josephine and Crystal play 5 times, what is the probability that Crystal's score will be 17 exactly 3 times
Answers
a. The expected score for Josephine and Crystal is 17.3 and 17.1 respectively.
b. The total probability of these combinations is 0.045 + 0.120 + 0.030 = 0.195.
c. 0.195 the probability that the difference (Josephine minus Crystal) in their scores is -1.
d. 0.008 is the probability that Josephine will score a 9 for the first time the 4th time that Josephine and Crystal play the game.
d. 0.3267. is the probability that Crystal's score will be 17 exactly 3 times.
a. To calculate the expected score for each player, we use the formula:
Expected Score = Σ(\(x_i \times P_i\))
where \(x_i\) is the score and \(P_i\)is the probability of that score.
For Josephine:
Expected Score = 16(0.10) + 17(0.30) + 18(0.40) + 19(0.20) = 17.3
For Crystal:
Expected Score = 17(0.45) + 18(0.40) + 19(0.15) = 17.1
b. To find all combinations of possible scores for Josephine and Crystal that will produce a difference (Josephine minus Crystal) of -1, we need to subtract 1 from Josephine's score and compare it to Crystal's score.
The possible combinations are:
Josephine Crystal Probability
15 17 0.100.45 = 0.045
16 18 0.300.40 = 0.120
17 19 0.20 x 0.15 = 0.030
c. The probability that the difference (Josephine minus Crystal) in their scores is -1 is the sum of the probabilities of the combinations listed in part (b), which is 0.195.
d. The probability that Josephine will score a 9 for the first time on the 4th play is the probability of scoring less than 9 on the first three plays and then scoring exactly 9 on the fourth play.
Assuming that Josephine's scores are independent, we can use the multiplication rule of probability:
Probability = \(P(score < 9)^3\) x P(score = 9)
Probability = \((0.10 + 0.30 + 0.40)^3\) x 0.20
Probability = 0.008.
e. The probability that Crystal's score will be 17 exactly 3 times out of 5 plays is given by the binomial distribution formula:
Probability = \(C(5,3) \times (0.45)^3 \times (0.55)^2\) = 0.3267
where C(5,3) is the number of ways to choose 3 plays out of 5.
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Given an objective function value of 150 and a shadow price for resource 1 of 5, if 10 more units of resource 1 are added (assuming the allowable increase is greater than 10), what is the impact on the objective function value?
Answers
Answer:
The impact on the objective function is that it is increased by 50.
Step-by-step explanation:
In this case we have that the value of the objective function is 150, and they tell us that 10 more units of resource one are added, but they tell us that the shadow price ranges from 1 to 5, therefore:
10 * 5 = 50
Which means that the impact on the objective function is that it is increased by 50.
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Find the quotient of 3/5 and 2/3
Give your answer as a fraction in its simplest form.
Answers
1. Find the equation of the line that passes through the points (1, -2) and (4,7).
Answers
The general form of equation of line passing through two points is :
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)we have :
\((x_1,y_1)=(1,-2)(x_2,y_2)\text{ =(4,7)}\)Substitute these value in the genral form of line:
\(\begin{gathered} y-(-2)=\frac{7-(-2)}{4-1}(x-1) \\ y+2=\frac{7+2}{3}(x-1) \\ y+2=\frac{9}{3}(x-1) \\ y+2=3(x-1) \\ y+2=3x-3 \\ 3x-y=2+3 \\ 3x-y=5 \\ 3x-y-5=0 \\ \text{Solve the equation in terms of y} \\ y=3x-5 \end{gathered}\)The required equation of line : y = 3x - 5
Answer: D) y = 3x - 5
Write the following phrase as an algebraic expression. Use x for the unknown number.
The sum of -8 and five times a number.
Answers
that is the solution and just writing so you can have the answer
Here this one Help asap
Answers
Answer:
Step-by-step explanation:
s x 4
d x 3.14
A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold
Answers
Answer:
To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.
Given:
Length = 36 inches
Width = 24 inches
Height = 18 inches
Converting the dimensions to feet:
Length = 36 inches / 12 inches/foot = 3 feet
Width = 24 inches / 12 inches/foot = 2 feet
Height = 18 inches / 12 inches/foot = 1.5 feet
Now, we can calculate the volume of the box by multiplying the length, width, and height:
Volume = Length * Width * Height
Volume = 3 feet * 2 feet * 1.5 feet
Volume = 9 cubic feet
Therefore, the shipping box can hold 9 cubic feet.
Step-by-step explanation:
First convert the units because it's asking for the cubic feet but they give us the measurements in inches.
To convert inches to feet we divide the number by 12.
36 ÷ 12 = 3
24 ÷ 12 = 2
18 ÷ 12 = 1.5
Now to find the volume, we multiply it all together.
3 × 2 × 1.5 = 9
It can hold 9 cubic feet.
Hope this helped!
If sin x=0.2, write down the values for sin (pi-x)
Answers
If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.
Given that,
the value of sin x = 0.2
We have to find the value of sin(π - x).
We know the trigonometric rule that,
sin(π - x) = sin (x)
for any value of x.
So here whatever the value of x, the value of sin(π - x) is sin (x) itself.
So here sin x = 0.2.
So, by the rule,
sin(π - x) = sin (x) = 0.2
Hence the value is 0.2.
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3. POPULATION DENSITY The table shows the populan
density for the state of Texas in various years. Find the average
annual rate of change in the population density from 2000 to
2009.
Answers
The average annual rate of change in the population density from 2000 to 2009 will be 1.9.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The table shows the population density for the state of Texas in various years.
Now,
Since, Population in year 2000 = 79.6 people per square mile.
Population in year 2009 = 96.7 people per square mile.
Hence, Change in population density between year 2000 and 2009 is:
⇒ 96.7 - 79.6 = 17.1
And, Total number of year between year 2000 and 2009 is:
⇒ 2009 - 2000 = 9
So, Substituting the values in formula, we get;
⇒ Average rate of change = 17.1 / 9
= 1.9
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Zoya has to earn at least $300 to meet her fundraising goal. She has only 100 bracelets that she plans to sell at $5 each. Which inequality shows the number of bracelets, x, Zoya can sell to meet her goal?
Answers
Answer:
The two inequality are : x ≤ 100 and x ≥ 60
So the inequality is : 60 ≤ x≤ 100.
Step-by-step explanation:
Answer:
Hi so the answer to this equation is:
60 _< x _< 100
Step-by-step explanation:
Sorry if it looks a little complicated, another way of phrasing it would be 60 less than or equel to x less than or equel to 100. I think this is the answer because she only has 100 braclets so she cant sell more than that, hence less than or equel to 100. and i believe it is 60 because if she sells each braclet for 5 dollars and her goal is 300, 60 would allow her to reach her goal because 5 x 60 = 300. and she needs to earn at least 300 buckaroos for her fundraiser.
Im not super great with algebra but i hope this is right and that it helps you
peace✌
Bob did chores for his neighbor. The first day he earned $8. Then he earned $10 a day for
two weeks. If he took one day off each week, how much did he earn?
Answers
Answer: $128
Step-by-step explanation: So first Bob earned 8 dollars. Then he started earning 10 dollars a day every week for 2 weeks. that would have been 148 dollars (plus the 8 dollars he earned in the beginning), but he took a break once a week, subtracting 20 dollars from his pay, giving him 128 dollars in total.
Let me know if this was helpful! :D
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answers
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)