What is the equation to solve this problem?
[tex]\displaystyle\bf\\x^2+x^2=10^2\\\\2x^2=19^2\\\\x^2=\frac{10^2}{2}\\\\ \sqrt{x^2}=\sqrt{\frac{10^2}{2}}\\\\x=\frac{10\sqrt{2}}{\sqrt{2}\times\sqrt{2}}\\\\x=\frac{10\sqrt{2}}{2}\\\\\boxed{\bf x=5\sqrt{2}~~~~~~Correct~ansver:~~D)}[/tex]
Which description can be written as the expression StartFraction n Over 4 EndFraction minus 13?
Answer:
Step-by-step explanation:
k
The side lengths of a right triangle are 10, 26, and 24. Which is the hypotenuse?
Mr. Ortiz's car drives 12 miles in 20 minutes. Use a model to find out how many miles his car drives in 1 HOUR.
Answer:
36 miles
Step-by-step explanation:
Since there are 60 minutes in a hour, you can see that 20 minutes is a third of that time. To find the answer, you multiply the values by 3 to equal on hour. 20x3 = 60 and 12x3 = 36, meaning he drove 36 miles in a hour.
Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 3/4 = 9/12 = 3/4
b. 3/9 = 4/12 = 1/3
c. 3/12 = 4/9 = 1/4
d. 4/3 = 12/9 = 4/3
Please select the best answer from the choices provided
Answer:
B. 3/9 = 4/12 = 1/3
Step-by-step explanation:
I calculated it logically
Please help me I’m trying to pass and I don’t know what to do
Answer:
1/2 of an answer is zero answer.
Step-by-step explanation:
yeah :)
Answer:
- 3
Step-by-step explanation:
[tex]f(x) = \sqrt{x + 1} \\ plug \: x = 0 \\\therefore f(0) = \sqrt{0 + 1} \\\therefore f(0) = \sqrt{1} \\ \therefore f(0) =1 \\ \\ g(x) = 2x - 5 \\ plug \: x = f(0) \\ \therefore g( f(0)) = 2 f(0)- 5 \\ \therefore g( f(0)) = 2 (1) - 5 \\\therefore g( f(0)) = 2 - 5 \\ \\ \huge \red {g( f(0)) = \boxed {- 3} }[/tex]
According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,060. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $495. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,575 per year on reading and entertainment
Answer:
The answer is [tex]15.00[/tex] %
Step-by-step explanation:
Let's start defining the random variable. We have the following variable :
[tex]X:[/tex] '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''
We assume that [tex]X[/tex] follows the normal distribution. We can write :
[tex]X[/tex] ~ N ( μ , σ )
Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :
[tex]X[/tex] ~ [tex]N(2060;495)[/tex]
In order to answer the question, we first must calculate the probability :
[tex]P(X>2575)[/tex] (I)
We are going to calculate this probability by making a substitution. If we substract the mean to the variable [tex]X[/tex] and then divide by the standard deviation, we obtain a new variable [tex]Z[/tex] which can be modeled as a [tex]N(0;1)[/tex]. This is convenient because the cumulative distribution from [tex]Z[/tex] is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :
[ ([tex]X[/tex]-μ) / σ ] = [tex]Z[/tex] ~ [tex]N(0;1)[/tex] ⇒ If we apply this to the equation (I) ⇒
[tex]P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)[/tex]
Then,
[tex]P(Z>1.04)=1-P(Z\leq 1.04)[/tex] (II)
Looking in any cumulative distribution table of [tex]Z[/tex] ⇒ [tex]P(Z\leq 1.04)=0.85[/tex]
If we replace this value in (II) ⇒
[tex]P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15[/tex]
Using percent we obtain [tex]15.00[/tex] %
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
graph the function y less than or equal to x^2-3x-1
Answer: y <= x^(2) - 3x - 1
How to: Graph the inequality by finding the boundary line, then shading the appropriate area.
Have a great day and stay safe !
HELP. LIKE- WHICH ONE IS THE ANSWER? ALSO EXPLAIN A BIT
Answer:
perpendicular lines are when two lines intercect in a right angle. so it would be A then
Step-by-step explanation:
A has a right degree angle where the two lines cross, so this is the answer
B that is not a right angle it has acute and obtuse angles
C does not even have two lines that touch
D the two lines don't cross at all
E is an acute angle
B, C,D, and E are not the answers
Please helpppppppppp i will mark brainlist
Answer:
10.4 cm
Step-by-step explanation:
Since the area is half of the base multiplied by the height A = 1/2 * b * h, the height can be found from h = 2A/b
h = (2 * 83.72 )/16.1 = 10.4
Answer:26.02
Step-by-step explanation:83.72-(16.1x2)/2=26.02 (sry I know it’s confusing but that’s how I do math lol) brainlyest plz plz I need it for my rank
A painter bought 12 gallons of paint, just
enough to cover two rooms. One room is
twice the size of the other and requires
three coats of paint. The smaller room
requires only two coats. Then the client
decided not to paint the smaller room
after all.
Let x be the number of gallons it takes for one
coat of paint in the large room and y the
number for one coat of paint in the small room.
How many gallons of paint will be left?
Answer:
3 gallons of paint hope it helps my guy
What are the zeros of the function f(x) = (x + 5)(2x-3)?
O A. x=-5 and x = 8
O B. x = -5 and x = 4
O C. x = 5 and x = -8
O D. x = 5 and x = -4
Write an equation in slope-intercept form of the line that passes through -9, 5 and -3,3 .
Answer:
y = -1/3x + 2
Step-by-step explanation:
First, find the slope using rise over run: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 - 5) / (-3 + 9)
-2 / 6
= -1/3
Plug in a given point and the slope into y = mx + b, and solve for b:
y = mx + b
3 = -1/3(-3) + b
3 = 1 + b
2 = b
Plug in the slope and y intercept into y = mx + b
y = -1/3x + 2
So, the equation is y = -1/3x + 2
plz help i will give brainliest and i will report you if you post a link
Answer:
$11,640
Step-by-step explanation:
Helppppoppppppppp!!!!!
Answer:
x=64
Step-by-step explanation:
[tex]x^{2} =A\\x^{2} = 4,096[/tex]
Answer:
Hello! answer: 64
Step-by-step explanation:
Each side length of the square is the same therefore we just have to find the square root of 4096 64 × 64 = 4096 therefore the side length of the square is 64 HOPE THAT HELPS!
Suppose you have a bag containing 5 white marbles, 8 black marbles, 4 red marbles, and 9 green marbles. You draw a
single marble, record the color, and then place the marble back into the bag. You do this 10 times in total. After the final
time, you count your observations and see that you drew a black marble 3 times. Using what you know about theoretical
probabilities, was this likely to occur? Explain.
Answer:Yes
Step-by-step explanation:Because if u use the antropy system you'll know i hope i helped
Find the slope of the line that passes through (-1, -3) and (-2,2).
Answer:
-5
Step-by-step explanation:
Answer:
slope = -5
Step-by-step explanation:
m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)
so plug them into this equation.
2+3/-2+1 = 5/-1 = -5.
the slope is -5
Can somebody please help me out please my grads are bad
Step-by-step explanation:
Starting from the upper left in the clockwise direction:
congruent: no
similar: no
upper right side:
congruent: yes
similar: yes
lower right side:
congruent: no
similar: yes
lower left side:
congruent: yes
similar: yes
remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a proportional relationship because there was no constant of proportionality there was not a single nymber that he could multiply the time by to get the distance
Answer:
remy would be correct
Step-by-step explanation:
The hotel room tax in Festivity City is calculated using the function
7(x) = 0.06x + 4.5
where x is the cost in dollars of the room and 7(x) is the tax in dollars.
What is the tax on a room that costs $120?
HELP ASAP ILL GIVE U BEST ANWER THING
Answer: 11.70
Step-by-step explanation:
The voltage, V, in an electric circuit is held constant, the current I, is inversely proportional to the resistance, R. If the current is 120mA (milliampere) when resistance is 5 ohms, find the current when the ersistance is 15 ohms.
Answer:
70 amps
Step-by-step explanation:
The current I is inversely proportional to the resistance R
I=k/R (k is the constant of proportionality)
A) I=210 amperes
R=4 ohms
I=k/R
k=I×R
k=210×4=840
B) R=12 ohms
k=840
I=k/R
I=840/12=70 amperes
The current will be 40 mA when the resistance is 15 ohms.
What is Ohms law?Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.
Ohms law formula is -
V=IR, Where
Voltage is V and is measured in Volts,
The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.
Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,
120 mA = 0.12 A
Therefore,
V = IR
V = 0.12 × 5
V = 0.6 volts
Now, when the resistance is 15 ohms, the current will be =
0.6 = I × 15
I = 0.6 / 15
I = 0.04 A
I = 40 mA
Hence, the current will be 40 mA when the resistance is 15 ohms.
Learn more about Ohms law, click;
https://brainly.com/question/1247379
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If a normal 6 sided die, with each side numbered 1 through 6, is rolled. What is the probability that the number on top is greater than 3?
Select one:
1/6
1/2
1/3
2/3
Answer: the second option (1/2)
Step-by-step explanation:
numbers greater than 3: 4, 5, and 6
3 numbers
so 3/6 or 1/2
1/2 or 50% so the second option
A building which is 30 feet tall casts a 5 foot shadow. What is the angle of elevation?
O a. 0.110
O b. 80.54
O c. 80.41
O d. None of the above
Answer:
80.54
Step-by-step explanation:
height- 30
base- 5
tan-1(30/5)
tan-1(6)
= 80.54
the suppliment angle of 3 by 4 of 160 ° is
lVanessa was out shopping with her friends. She had $38
to spend today. She decided to buy herself a pair of sunglasses for $27
and some hair bands that were $2 each. How many hair bands can she
buy?
Answer
5 hair bands
Step-by-step explanation:
$38-$27(Sunglasses)=11
11/2=5.5
you can't buy 5.5 hairbands so you round the number to the nearest whole number.
so the answer is 5 hairbands.
Please help
[tex]1. \: \sqrt{a + 2 = 4 } \\ \\ 2. \sqrt{2m - 8 - 4 = 2} \\ \\ 3. \sqrt{4 \times + 12 \: + 7 = 2} \\ \\ 4. \ \sqrt{17 - 4m = m + 1} \\ \\ 5. \sqrt{k - 1 = \sqrt{k - 5 } } \\ \\ 6. \sqrt{5n + 1 \: - 1 = 3 \sqrt{n} } \\ \\ 7. \sqrt[3]{\times = 3 } \\ \\ 8. \sqrt[3]{ \times - 1 = 4} [/tex]
Answer:
1. a = 14
2. m = 8
3. N/A
4. m = 2
5. N/A
6. n = 0, [tex]\frac{9}{25}[/tex], 0.36
7. x = 27
8. x = 65
Step-by-step explanation:
It says: a water tank of a pyramid has a rectangular base with dimensions of 10 feet by 15‘ the height of the Rectangular pyramid is 12 feet water fills half of the volume of water tank how many more cubic feet of water is needed to finish the water tank: PLEASE HELP THIS GONNA HELP ME PASS TO THE NEXT GRADE
Answer:
600
Step-by-step explanation:
V=(LxWxH)/3
Multiply 10x15x12/3 and get 600
What is the place value of 9 in the number 8.0231497?
Answer:
Tens
Step-by-step explanation:
it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.
Help please !!!!!!!!!!!!!!!!!!
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1