Answer:
5.9+z=−9
Step 1: Simplify both sides of the equation.
z+5.9=−9
Step 2: Subtract 5.9 from both sides.
z+5.9−5.9=−9−5.9
z=−14.9
Answer:
z=−14.9
Step-by-step explanation:
I hope this can help!!!
Translate and solve.
17. The absolute value of three times a number, n, is greater than 15.
Answer:
3n>15
Step-by-step explanation:
So basically, this three times a number, 3n, is greater than 15. So, this is 3n>15.
Determine the surface area and volume. Note: The base is a square.
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
A computer designer has to build a computer which can executes 300 instructions and represents integers in
\( - {10}^{14} \)
to
\( {10}^{14} \)
lf one instruction is stored in the entire memory word, what is the maximum memory capacity this computer can occupy?
The computer can occupy a maximum of 1200 bytes of memory.
To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.
If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.
The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.
Hence, the maximum memory capacity this computer can occupy would be 300 memory words.
To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:
300 memory words * 4 bytes per word = 1200 bytes.
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The sum of 5% of a number and 9 is 16
Answer: x = 140
Step-by-step explanation:
5% = 0.05
0.05x + 9 = 16
0.05x = 7
x = 140
9. Find the area; reduce to lowest terms:
Length: 3 meters; width: meters
O3
square meters
O 7 square meters
O
meters
O square meters
Okay, here are the steps to find the area and reduce it to lowest terms:
Area = Length x Width
= 3 meters x meters
= 3 square meters
3 square meters
(in lowest terms)
So the area in lowest terms is:
3 square meters
Simplify the expression to a + bi form:
(8 – i) – (10 – 8i)
Answer:
-2+7i
Step-by-step explanation:
(8-i)-(10-8i)
8-i-10+8i
8-10-i+8i
-2+7i
Answer:-2+7i
Step-by-step explanation:
Which of these expressions is equivalent to (2/3)⁵
A.10/15
B.25/35
C.5²/5³
D.2⁵/3⁵
What is the approximate area of the shaded region in the given square containing 2 semicircles? (Use * 3.14.) 10 cm 0 21.5 square centimeters O 50 square centimeters O 78.5 square centimeters O 100 square centimeters
Answer:
yes
Step-by-step explanation:
bcuz
Answer:
Subtract the circle from the square
Step-by-step explanation:
(10× 10) - 25pi
Find the number of solutions of the equation 9h^2 - 12h + 4 = 0 by using the discriminant.
Answer:
Step-by-step explanation:
H=2/3
Answer:
one real solution
Step-by-step explanation:
:)
Determine whether the following inequalities satisfy the number line shown below.
The inequalities which satisfy the number line shown is x>2 and x>=2.
We are given that;
The number line showing inequality
Now,
x>2 satisfies the equation by the given number line
x>=2 satisfies the equation by the given number line
x<=-3 does not satisfies the equation by the given number line
x<=-3 does not satisfies the equation by the given number line
Therefore, by the number line the answer will be x>2 and x>=2 .
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Evaluate the function f(x) = 2x + 8, when x = 0
Answer:
8
Step-by-step explanation:
f(x) = 2x + 8
x=0
f(0) = 2(0) + 8
f(0)=0+8
f(x)=8
Answer:
8
Step-by-step explanation:
f(x)=2x+8
x=0
f(0)=2(0)+8
f(0)=0+8
F(0)=8
Romeo is caring for many yellow-spotted salamanders. He weighs each and
then counts the number of yellow spots on its back. Which trend line
best fits the data?
The trend line that best fits the data in this problem is given by the following option:
Option D.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
Hence the graph of the line of best fit should have the smallest possible residual values, meaning that the points on the scatter plot are the closest possible to the line.
As option D has the points the closest to the line, it is the correct option in the context of this problem.
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I’ll pay $20 in cashapp for whoever can do this
Answer:
10
Step-by-step explanation:
Please helpppppp Write an algebraic expression for the situation
12, less than the product of 4 and a number y
An algebraic expression for the situation is
(the oneration symbole in the
Answer:
4y-12
Step-by-step explanation:
Let t be the number of weeks Dr. Elder is on his diet and D(t) be a linear equation that models his weight in pounds. At the beginning of his diet, t=0, Dr. Elder weighs 265 pounds, D(0)=265. After nine weeks, t=9, he now weighs 229 pounds, D(9)=229. Find the slope
Using it's concept, it is found that the slope of the function is of -4.
What is the slope of a function?The slope of a function is given by the change in the output of the function divided by the change in the input.
For this problem, in 9 months, his weight changed from 265 pounds to 229 pounds, hence it changed -36 pounds, which means that the slope is of:
m = -36/9 = -4.
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2(y+7)=46 Solve for y. Simplify equation as much as possible
Answer:
y=16
Step-by-step explanation:
2(y+7)=46
2y+14=46
-14 -14
2y=32
2y/2 = 32/2
y = 16
Answer:
y=16
Step-by-step explanation:
2(y+7) = 46
2y + 14 = 46
-14 -14
2y=32
divide by 2
y=16
i have no clue how to do this need help
Answer:
P(x, y) = (√3/2, -1/2)
Step-by-step explanation:
There are a few special angles whose trig functions are worthwhile to remember. The top half of the table in the second attachment shows these.
The first attachment shows a unit circle and coordinates of the points at these special angles. It is worthwhile to remember there are 2π radians in a circle, so -π/6 radians (your angle) corresponds to a positive angle of 11π/6 radians.
__
The coordinates of P are ...
P(x, y) = (√3/2, -1/2)
_____
Additional comment
The coordinates of any point at angle α on a unit circle are ...
(x, y) = (cos(α), sin(α))
Work out the following without using a calculator
11101010 base 2 + 2122 base 8 + ABC base 16 - 123 base 8, Give your answer in decimal
Answer:
Step-by-step explanation:
To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:
11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:
1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.
2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:
2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.
ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:
10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.
123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:
1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.
Now, let's perform the arithmetic operations:
234 + 1090 + 2748 - 83 = 3989.
Therefore, the result of the given expression in decimal form is 3989.
Add the following fractions by drawing them 3/8 +1/3
answer:
\(\sf \dfrac{17}{24}\)
step-by-step explanation:
\(\sf \dfrac{3}{8} +\dfrac{1}{3}\)
the largest multiple of 8 and 3 is 24, make the denominator same
\(\sf \dfrac{3(3)}{8} +\dfrac{1(8)}{3}\)
expand
\(\sf \dfrac{9}{24} +\dfrac{8}{24}\)
simplify, join both fractions
\(\sf \dfrac{17}{24}\)
Answer:
\(\dfrac{17}{24}\)
Step-by-step explanation:
Convert the fractions so that their denominators are the same, then add:
\(\dfrac38+\dfrac13=\dfrac{3 \times 3}{8 \times 3}+\dfrac{1 \times 8}{3\times 8}=\dfrac{9}{24}+\dfrac{8}{24}=\dfrac{17}{24}\)
Is 10+ √42 rational?
Answer:
This not a rational... means answer is false
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
Rational numbers can be rewritten as fractions or have a terminating decimal.
We see that √42 will be a never ending decimal. Therefore, the entire expression would become irrational.
) draw a chord that goes between points a and b. 2) identify how many points along the curve have a tangent line parallel to the chord through . watch for rules about when there are and aren't tangent lines to the curve.
There are no points along the curve that have a tangent line parallel to the chord through A and B.
1) The chord between points A and B is a straight line connecting those two points.
2) There are no points along the curve that have a tangent line parallel to the chord through A and B, since the chord is a straight line and the curve is curved.
1) To draw the chord between points A and B, you must use a straight line to connect those two points.
2) Since the chord is a straight line and the curve is curved, there are no points along the curve that have a tangent line parallel to the chord through A and B.
To draw the chord between points A and B, draw a straight line connecting those two points. However, since the chord is a straight line and the curve is curved, there are no points along the curve that have a tangent line parallel to this chord. This is due to the fact that tangent lines only exist at points where the curve changes direction, and the chord is a straight line, not affected by the curvature of the curve. Therefore, there are no points along the curve that have a tangent line parallel to the chord through A and B.
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Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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I don't understand this math problem, please help
Answer/Step-by-step explanation:
1. <A = <B (alternate angles theorem)
90° = 2x (substitution)
Divide both sides by 2
90/2 = 2x/2
45 = x
x = 45
2. <3 = <5 (corresponding angles theorem)
½x = 60 (substitution)
Multiply both sides by 2
x = 60*2
x = 120
3. Based on supplementary bangle theorem, sum of supplementary angles = 180°. Therefore:
m<LFG + m<ABC = 180°
2.5x + x + 33 = 180 (substitution)
Add like terms
3.5x + 33 = 180
3.5x = 180 - 33
3.5x = 147
x = 147/3.5
x = 42
3a. m<LFG = 2.5x
Plug in the value of x
m<LFG = 2.5(42)
m<LFG = 105°
3b. m<ABC = x + 33
Plug in the value of x
m<ABC = 42 + 33
m<ABC = 75°
HELP ME ASAP!!!
Question 3(Multiple Choice Worth 5 points)
(04.04 MC)
If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
5 hours
15 hours
18 hours
45 hours
Answer:
45 hour GIVE BRAINLY PLZ
to reduce a rational number to its lowest terms, you first compute the greatest common divisor (gcd) of the numerator and the denominator, using euclid's algorithm.
The given statement to reduce a rational number to its lowest terms, you first compute the greatest common divisor (gcd) of the numerator and the denominator, using Euclid's algorithm is correct.
What is Euclid's algorithm?
The Euclidean algorithm, also known as Euclid's algorithm, is an effective way to determine the greatest common divisor of two integers, or the biggest number that divides them both evenly without leaving a remainder. It is named after the Greek mathematician Euclid, who first discussed it in his Elements and gave it that name.
A common fraction can be reduced to its simplest terms using the Euclidean algorithm. For instance, the algorithm will demonstrate that the GCD of 765 and 714 is 51, and that 765/714 = 15/14 as a result. Additionally, it has several applications in more complex mathematics.
Hence, the given statement to reduce a rational number to its lowest terms, you first compute the greatest common divisor (gcd) of the numerator and the denominator, using Euclid's algorithm is correct.
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Probability is a measure of how likely an event is to occur. Match one of the probabilities that follow with each statement of likelihoodgiven. Type the correct letter in each box. You must get all of the answers correct to receive full credit.1. This event is certain. It will occur on every trial.2. This event will occur more often than not.3. This event is very likely to occur4. This event is very unlikely to happen, but it will occur once in a while in a long sequence of trialsA. 0.93B. 0.03C.1D. 0.57
ANSWER
1. C
2. D
3. A
4. B
EXPLANATION
Probabilities are expressed with numbers between 0 and 1 - or 0 to 100% if we're using percents.
An event whose probability of occurring is 1 (or 100%) means that that event will always occur for every experiment that includes that event.
If the probability of the event occurring is between 0.5 and 1 it means that it is more likely to occur than it is to not occur. And viceversa, if it's less than 0.5 then it is more likely to occur.
If the event has a very low probability to occur - for example 0.03, 0.05 etc, it means that it is very unlikely to occur. And viceversa, if the pro
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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√24 + √27 in the form of k√3
\(\sqrt{24}+\sqrt{27} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 2\cdot 3\\ 27=3\cdot 3\cdot 3\\ \qquad 3^2\cdot 3 \end{cases}\implies \sqrt{2^2\cdot 2\cdot 3}+\sqrt{3^2\cdot 3} \\\\\\ 2\sqrt{2\cdot 3}+3\sqrt{3}\implies 2\sqrt{2}\cdot \sqrt{3}+3\sqrt{3}\implies \stackrel{\textit{common factoring}}{\underset{ \textit{\LARGE k} }{(2\sqrt{2}+3)} ~~ \sqrt{3}}\)
I NEED HILP PLS HOW IS THIS THE ANSWER....
Answer:
The answer is correct, here's why:
Step-by-step explanation:
Dr. Silva's tank holds 15\(\frac{7}{8}\) gallons of gas.
She added 11.55 gallons to her tank to fill it up.
This means she must have had 5\(\frac{13}{40}\) gallons to start with because 5\(\frac{7}{8}\) - 11.55 = 5\(\frac{13}{40}\)
I WILL GIVE BRANLIESTLinda has captured many three-toed tree toads. She weighs each one and
then counts the number of yellow spots on its back. Which trend line best fits
the data?
Answer:
B
Step-by-step explanation:
it shows the line going through the scatter plot
Answer:
The answer is B. Here is proof. Plz brainliest.
Step-by-step explanation: