Answer:
He worked for 3 hours.
Step-by-step explanation:
you can solve this by muiltipling the amount of hours by the kilograms done in an hour.
Answer:
3 hours
I hope its right
6th grade math help me pleaseeee
Answer:
First one.
Step-by-step explanation:
0.3/3=0.1 ==> 0.1$ per meter
0.77/7 ==> 0.11$ per meter
The first option is cheaper, therefore better to buy if you agree with "the cheaper. the better".
Which property is used to write the equivalent expressions below? (2x7) x3=2x (7x3)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.
Answer:
9
Step-by-step explanation:9x5
help!!!!!!pleaseeeee
Answer:
f(5) = - 11 , g(- 2) = 22
Step-by-step explanation:
substitute x = 5 into f(x)
f(5) = - 3(5) + 4 = - 15 + 4 = - 11
substitute x = - 2 into g(x)
g(- 2) = - 3(- 2)³ - 2 = - 3(- 8) - 2 = 24 - 2 = 22
Answer:
-11 and 22
Step-by-step explanation:
See attached worksheet
when comparing the means of samples from two normally distributed populations that the samples are independent and the population variances are known a z test can be used
When comparing the means of samples from two normally distributed populations, with independent samples and known population variances, a z-test can be used.
The z-test is a statistical test used to compare means when certain assumptions are met. In this case, the populations from which the samples are drawn are assumed to be normally distributed. The samples being compared should be independent of each other, meaning that the values in one sample are not related to or influenced by the values in the other sample. Additionally, it is assumed that the population variances are known, which is not always the case in practice.
The z-test relies on the calculation of a test statistic called the z-score, which measures the difference between the sample means in terms of standard deviations. The z-score is calculated by subtracting the mean of one sample from the mean of the other sample, and then dividing by the standard deviation of the sampling distribution of the difference in means. The resulting z-score is compared to a critical value from the standard normal distribution to determine the statistical significance of the difference between the means.
If the absolute value of the z-score exceeds the critical value, it indicates that the difference between the sample means is statistically significant, suggesting that the population means are likely to be different. On the other hand, if the z-score is not statistically significant, it suggests that the difference between the sample means may be due to chance, and there is not enough evidence to conclude that the population means are different.
Overall, when comparing the means of samples from normally distributed populations with known variances and independent samples, a z-test provides a way to assess the statistical significance of the difference between the means.
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A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3
Question 1
Find the distance: Speed = 99 km/h,
Time = 40 mins
Answer:
40 minute = 40 : 60 hours
= 4/6 [÷10]
= 2/3 [÷2]
distance = speed × time
distance = 99 kilometers/hours × 2/3 hours
distance = 33 × 2
distance = 66km
PLS HELP
Given the following diagram, find the required measures.
Given: l || m
m∠1=120
m∠3=40
m∠4=
120
50
140
Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..
Answer:
Seems correct to me. I color coded the various terms.
Step-by-step explanation:
[13x³ came by adding 9x³ and 4x³]
12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3xIf bolt thread length is normally distributed, what is theprobability that the thread length of a randomly selected boltis
a) Within 1.5 SDs of its mean value
b)Farther than 2.5 SDs from its mean value
c)Between 1 and 2 SDs from its mean value
Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664, is farther than 2.5 SDs from its mean value is 0.0124 and between 1 and 2 SDs from its mean value is 0.2728.
Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value P (μ - 1.5σ < X < μ + 1.5σ)= P(Z < 1.5) - P(Z < -1.5)Here, Z is the standard normal variable P(Z < 1.5) = 0.9332 (from standard normal table)P(Z < -1.5) = 0.0668 (from standard normal table) So, P (μ - 1.5σ < X < μ + 1.5σ) = 0.9332 - 0.0668= 0.8664
Thus, probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664. Probability that the thread length of a randomly selected bolt is farther than 2.5 SDs from its mean value P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = P (Z < -2.5) + P (Z > 2.5)P (Z < -2.5) = 0.0062 (from standard normal table)P (Z > 2.5) = 0.0062 (from standard normal table)
So, P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = 0.0062 + 0.0062 = 0.0124 Probability that the thread length of a randomly selected bolt is between 1 and 2 SDs from its mean value P (μ - 2σ < X < μ - 1σ) = P (Z < -1) - P (Z < -2) + P (Z < 1) - P (Z < 2)P (Z < -1) = 0.1587 (from standard normal table)
P (Z < -2) = 0.0228 (from standard normal table)P (Z < 1) = 0.8413 (from standard normal table)P (Z < 2) = 0.9772 (from standard normal table) So, P (μ - 2σ < X < μ - 1σ) = 0.1587 - 0.0228 + 0.9772 - 0.8413= 0.2728
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what’s the slope and y-int of, [-1,7] and [0,4]
\(\huge\text{Hey there!}\)
\(\huge\textbf{What is the formula for finding slope?}\)
\(\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}\)
\(\huge\textbf{Often people understand it better by:}\)
\(\mathbf{\dfrac{rise}{run} = slope}\)
\(\huge\textbf{Answering the given question:}\)
\(\mathbf{y_2 \rightarrow 4}\\\\\mathbf{y_1 \rightarrow 7}\\\\\mathbf{x_2\rightarrow 0}\\\\\mathbf{x_1 \rightarrow -1}\)
\(\huge\textbf{Now, that we have that information out}\\\huge\textbf{the way, we can answer the question.}\)
\(\huge\textbf{Solving for the answer:}\)
\(\mathbf{\dfrac{4 - 7}{0 - (-1)} = slope}\)
\(\mathbf{\rightarrow \dfrac{4 - 7}{0 + 1} = slope}\)
\(\mathbf{\rightarrow \dfrac{-3}{1} = slope}\)
\(\mathbf{-3\div 1 = slope}\)
\(\mathbf{\rightarrow -3 = slope}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\textsf{S}\frak{lope \rightarrow -3}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
, O REAL NUMBERS Distributive property: Whole... Use the distributive property to remove the parenth 11(x+9)
The simplified expression is 11x + 99 using the distributive property
How to remove the parenthesisFrom the question, we have the following parameters that can be used in our computation:
11(x + 9)
The distributive property states that
a(b + c) = ab + ac
Using the above as a guide, we have the following:
11(x + 9) = 11 * x + 11 * 9
Evaluate
11(x + 9) = 11x + 99
Hence, the simplified expression is 11x + 99
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find the volume and the total surface area
The volume of a trapezoidal prism is 2362.5.
The total surface area is 852.
We have,
The volume of a trapezoidal prism.
V = ((a + b) / 2) × h × l
where:
a and b are the lengths of the two parallel sides (the bases) of the trapezoid
h is the height of the trapezoid (the perpendicular distance between the two bases)
l is the length of the prism (the distance between the two trapezoidal faces)
Now,
a = 9
b = 12
l = 15
Height h can be calculated using the Pythagorean theorem.
15² = (12 - 9)² + h²
h² = 225 + 9
h² = 234
h = √234
h = 15
Now,
The volume of a trapezoidal prism.
V = ((a + b) / 2) × h × l
V = ((9 + 12) / 2) x 15 x 15
V = 2362.5
And,
The surface area (A) of a trapezoidal prism can be calculated using the formula:
A = ph + 2B
where p is the perimeter of the trapezoidal base, h is the height of the prism, and B is the area of one of the bases.
So,
p = 12 + 8 + 12 + 8 = 44
h = 15
B = 12 x 8 = 96
Now,
Total surface area.
= 44 x 15 + 2 x 96
= 660 + 192
= 852
Thus,
The volume of a trapezoidal prism is 2362.5.
The total surface area is 852.
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ANSWER QUICKLY PLEASEEEE
Asia is the largest of the world's seven continents with an area of approximately 1.7x107 square miles. Aus
smallest continent, has an area of approximately 3.1 x 106 square miles.
How much larger is Asia than Australia? Express the answer in scientific notation.
1.40 x 106 square miles
2.93 x 10 square miles
1.39% 107 square miles
O 2.01 x 107 square miles
Answer:
it would be c
Step-by-step explanation:
Answer:
A first-order observation is that earthquakes and volcanoes occur across most of the continental region, and in parts of the oceanic region offshore East Africa.
Step-by-step explanation:
Ο Ο
ω
your basketball team is playing a series of 5 games against your opponent. the winner is those who wins more games (out of 5). let assume that your team is much more skilled and has 75% chances of winning. it means there is a 25% chance of losing. what is the probability of your team get 3 wins?
We can simply multiply the subsequent probabilities of losing each game. = 12.9%.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.According to our question-
we can simply multiply the subsequent probabilities of losing each game. So (3/5 * 3/5
* 3/5 * 3/5)
= 81/625
= .129 = 12.9%
Hence, We can simply multiply the subsequent probabilities of losing each game. = 12.9%.
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Pea aphids, Acyrthosiphon pisum, are small, wingless, sapsucking insects that live on plants. They evade predators (such as ladybugs) by dropping off. A study examined the mechanism of aphid drops. Researchers placed aphids on a leaf positioned at four different heights (in centimeters, cm) above a surface covered with petroleum jelly. When a ladybug was introduced, the aphids dropped, and the petroleum jelly helped capture their landing posture (upright or not). Each aphid performed this experiment only once. The findings are given in the table. Dropping Hcight Landing Posture3 cm 5 cm10 cm20cm Upright Not upright Sample size 20 23 10 30 30 27 29 30 30 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! The null hypothesis "no relationship" says that in the population of aphids, the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm. The two-way table contains expected cell counts if this hypothesis is true Landing Posture 3 cm5 cm10 cm 20 cm Total 24.75 24.75 24.75 24.75 99 Not upright 5.255.255.255.255.25 30 30 30 30 30 Upright Total (a) Use the tables to calculate the value of the chi-square statistic. (Enter your answer rounded to three decimal places.) 223.359 Question Source Baldi4e- The Practice Of Statistics In The Life Sciences Publisher: W.H. Freeman
The value of chi-square statistic (\(X^{2}\)) is 11.26
As per the given question
the sample space of all the four cases are 30
the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm.
the formula of chi-squared test is
\(X^2=\sum\frac{(O_i-E_i)^2}{E}\)
where
\(X^{2}\) is chi-square
\(O_i\) is the observed value
\(E_i\) is the expected value
the upright observed value are 20,23,27,29
the upright expected values are 24.75
now
the chi-square at 3cm height is
\(X^2=\(\frac{(20-24.75)^2}{24.75}\)
=> \(X^2=0.91\)
the chi- square at 5cm height is
\(X^2=\(\frac{(23-24.75)^2}{24.75}\)
=> \(X^2=0.12\)
the value of chi-square at 10cm is
\(X^2=\(\frac{(27-24.75)^2}{24.75}\)
=>\(X^2=0.20\)
the value of chi-square at 20cm is
\(X^2=\(\frac{(29-24.75)^2}{24.75}\)
=> \(X^2=1.97\)
the not upright observed values are
10,7,3,1
the not upright expected values are 5.25
the chi-square test at 3cm height is
\(X^2=\(\frac{(10-5.25)^2}{5.25}\)
=> \(X^2=4.30\)
the chi-square test at 5cm height is
\(X^2=\(\frac{(7-5.25)^2}{5.25}\)
=> \(X^2=0.58\)
the chi-square test at 10cm height is
\(X^2=\(\frac{(3-5.25)^2}{5.25}\)
=> \(X^2=0.96\)
the chi-square test at 20 cm is
\(X^2=\(\frac{(1-5.25)^2}{5.25}\)
=> \(X^2=3.44\)
now,
the total
chi-square value at 3cm height is
=>X^2=0.91+4.30
=> \(X^{2}\)= 5.21
chi-square at 5cm height is
=> \(X^{2}=0.12+0.58\)
=> \(X^2=0.71\)
chi-square at 10cm is
=> \(X^{2}=0.20+096\)
=> \(X^2=1.16\)
chi-square at 20 cm is
=> \(X^{2}=0.73+3.44\)
=> \(X^{2}=4.17\)
now ,
the total chi-square statistic is
=>\(X^{2}=\)5.21+0.71+1.17+4.17
=>\(X^{2}=\) 11.26
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Valor do X =
X = 64758 • | -7 |
The value of x in the expression is 453306.
We have,
The expression x = 64758 x |-7|
Now,
|- 7| = 7
Since any value inside a modulus is positive.
Now,
x = 64758 x 7
x = 453306
Thus,
The value of x in the expression is 453306.
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Which measurement is more precise? 45 fluid ounces or 79 cups
Answer:
45 fluid ounces
Step-by-step explanation:
Weight will be more accurate and consistent
To think of it simply, you may not always fill a measuring cup completely to the top and never spill out of it, weight is a given, cup measurements turn into a very close measurement that isn't 100% exact
A triangular parcel of land has side lengths of 100, 580, and 600 feet. Approximate the area of the land. Round your answer to the nearest foot.
Answer:
28800 square feet
Step-by-step explanation:
We solve this using the Heron's formula
Area of a Triangle = √s(s - a)(s - b)(s - c)
s = a + b + c/2
s = 100 + 580 + 600/2 = 640
Area of the land(Triangle) = √640 × (640 - 100)(640 - 580)(640 - 600)
= √640 × (540) ×( 60) × (40)
= √(829440000)
= 28800 square feet
Therefore, the approximate the area of the land is 28800 square feet.
4 kids are lined up in a random order. one of the kids is named izzy and another of the kids is named lizzy. let x be the random variable that denotes the number of kids in between izzy and lizzy in line. what is the distribution over x? a. (2, 1/6), (1, 1/3), (0, 1/2) b. (2, 1/6), (1, 1/3), (0, 1/6) c. (2, 1/6), (1, 1/2), (0, 1/3) d. (2, 1/3), (1, 1/6), (0, 1/2)
The distribution over the random variable x, which denotes the number of kids in between Izzy and Lizzy in line, is given by option c: (2, 1/6), (1, 1/2), (0, 1/3).
This means that there is a 1/6 probability that there are two kids between Izzy and Lizzy, a 1/2 probability that there is one kid between them, and a 1/3 probability that there are no kids between them.
To determine the distribution over x, we consider the possible arrangements of Izzy (I) and Lizzy (L) along with the other two kids (A and B). Let's examine the possible scenarios:
1. Two kids between Izzy and Lizzy: The order can be either IABL or LIAB. Since there are two possible arrangements, the probability is 1/6.
2. One kid between Izzy and Lizzy: The order can be either IALB or LIBA. Again, there are two possible arrangements, resulting in a probability of 1/2.
3. No kids between Izzy and Lizzy: The order can be either ILAB or LIAB. With two possible arrangements, the probability is 1/3.
Combining these probabilities, we get the distribution over x as: (2, 1/6), (1, 1/2), (0, 1/3), which corresponds to option c. Therefore, option c is the correct answer for the distribution of x.
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Suppose you need to put a fence around a rectangular garden that has a perimeter of 64ft. The width is 12ft less than the length. Find the width and length of the garden.
Answer:
x=length
x-12=width
you techinally have to count 2 lengths and 2 widths.
2x + 2x - 24= 64
4x = 88
x = 22
so the length is 22 and the width is 10
use the Chain Rule to find ∂z/∂u when z = er cos θ and r= 6 uv , θ = √(u^2+v^2 )
This is the expression for ∂z/∂u using the Chain Rule.
To find ∂z/∂u using the Chain Rule, we first need to find the partial derivative of z with respect to r and θ.
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Next, we can use the Chain Rule to find ∂z/∂u:
∂z/∂u = (∂z/∂r) * (∂r/∂u) + (∂z/∂θ) * (∂θ/∂u)
We know that r= 6 uv and θ = √(u^2+v^2 ), so we can substitute those values in:
∂z/∂u = (e^(r cos θ) cos θ) * (6v) + (-e^(r cos θ) r sin θ) * (u/√(u^2+v^2 ))
Simplifying this expression, we get:
∂z/∂u = 6ve^(6uv cos(√(u^2+v^2 )))cos(√(u^2+v^2 )) - (u/√(u^2+v^2 ))e^(6uv cos(√(u^2+v^2 )))r sin(√(u^2+v^2 ))
We have z = e^(r cos θ), r = 6uv, and θ = √(u^2 + v^2). We need to find ∂z/∂u.
Using the Chain Rule, we get:
∂z/∂u = (∂z/∂r)(∂r/∂u) + (∂z/∂θ)(∂θ/∂u)
First, let's find the partial derivatives of z:
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Now, find the partial derivatives of r and θ with respect to u:
∂r/∂u = 6v
∂θ/∂u = u / √(u^2 + v^2)
Now, substitute these partial derivatives back into the Chain Rule formula:
∂z/∂u = (e^(r cos θ) cos θ)(6v) + (-e^(r cos θ) r sin θ)(u / √(u^2 + v^2))
This is the expression for ∂z/∂u using the Chain Rule.
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Q3. Imagine that there is a completely spherical balloon of radius R immersed in liquid as shown in the figure. The balloon is being inflated so slowly that we can assume that the fluid flow around the balloon obeys the creeping flow equation. Ignore the effect of the thin tube that is being used to inflate the balloon and assume that the surface of the balloon is completely rigid. The flow of the fluid in which the balloon is immersed will be entirely due to the increase in the radius of the sphere as it is being inflated. Assume that the radius grows at a constant rate, which is given by:
dR/dt = A
Now assume that the fluid velocity field outside the balloon is entirely radial, i.e. v = vr(r). Using the continuity equation find a guess solution for v, up to a constant. Use the boundary conditions to find the unknown constant in the solution. Now verify that this solution satisfies the creeping flow equations (assuming that P is independent of r). 10 points
To find a guess solution for the fluid velocity field outside a spherical balloon being inflated at a constant rate, we assume a radial velocity profile. By applying the continuity equation and using boundary conditions, we can determine an unknown constant in the solution.
Subsequently, we verify if this solution satisfies the creeping flow equations under the assumption that pressure (P) is independent of the radial distance (r).
Assuming a radial velocity profile outside the balloon (v = vr(r)), we can apply the continuity equation to find a guess solution for the velocity field. The continuity equation states that the mass flow rate is constant, given by:
A = 4πr^2vr
where A is the constant rate of increase in radius (dR/dt) and r is the radial distance from the center of the balloon. Integrating this equation, we obtain:
vr = A / (4πr^2)
To determine the unknown constant, we consider the boundary conditions. Since the surface of the balloon is rigid, the fluid velocity must be zero at the surface (r = R). Therefore, we have:
0 = A / (4πR^2)
Simplifying the equation, we find:
A = 0
This implies that the constant rate of increase in radius must be zero for the velocity solution to satisfy the boundary conditions.
To verify if this solution satisfies the creeping flow equations, we assume that pressure (P) is independent of the radial distance (r). The creeping flow equations are based on the assumption that inertial effects are negligible compared to viscous effects. By plugging in the guess solution (vr = A / (4πr^2)) into the creeping flow equations, we can determine if they are satisfied. However, the equations and their specific form are not provided in the question. Therefore, without the explicit form of the creeping flow equations, it is not possible to verify if the guess solution satisfies them.
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Change the fraction to a decimal: 5/6 = _____
If the decimal repeats, show the repeating pattern twice.
(For example for 1/9, type 0. 11)
To change the fraction 5/6 to a decimal, we can divide 5 by 6 using long division as shown. 5/6 as a decimal is equal to 0.83333...
The use of decimals in place of whole numbers is a method of numerical expression. They use a base-10 positional notation system, where the value of each digit depends on where it is in relation to the decimal point. In a decimal number, whole numbers are represented by the digits to the left of the decimal point, while fractional parts are represented by the digits to the right.
The fraction and entire components are separated by the decimal point. Calculations utilising fractions and real numbers are made possible by the exact and accurate representation of values provided by decimals. They are widely utilised in daily life, from measurements and money to computations in science and data analysis.
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please help i will give brainliest!! :0
Answer:
6.42 x 10^-8
Step-by-step explanation:
Help please I don’t know how to solve this !!!!!!!
Answer: its 40 because its a whole number
Step-by-step explanation:
4 In an experiment, the probability that event B occurs is 5' and the probability that event A occurs given that event B occurs is 1. 3 What is the probability that events A and B both occur? Simplify any fractions. Submit
The probability that event B occurs is 4/5
\(P(B)=\frac{4}{5}\)The probability that event A occurs given that event B occurs is 1/3
\(P(A|B)=\frac{1}{3}\)What is the probability that events A and B both occur?
\(P(A\: and\: B)=\text{?}\)Recall that the conditional probability is given by
\(P(A|B)=\frac{P(A\: and\: B)}{P(B)}\)Re-writing the above formula for P(A and B)
\(P(A\: and\: B)=P\mleft(A|B\mright)\cdot P(B)\)So, the probability that events A and B both occur is
\(\begin{gathered} P(A\: and\: B)=P(A|B)\cdot P(B) \\ P(A\: and\: B)=\frac{1}{3}\cdot\frac{4}{5} \\ P(A\: and\: B)=\frac{4}{15} \end{gathered}\)Therefore, the probability that events A and B both occur is 4/15
Write 125 x (5^4)7 as a single power of 5
125 x (5^4)7 as a single power of 5 is 28*5^4.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
125 x (5^4)7
Now, 125 x (5^4)7
=125x140
=17500
=28*5^4
Therefore, by algebra the answer will be 28*5^4.
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find the image of (1,5) when it is reflected over the line y=x.
Answer:
(5,1)
Step-by-step explanation:
When you reflect a point across y = x, the x-coordinate and y-coordinate switch.
Answer:
(5, 1).
Step-by-step explanation:
When (x, y) is reflected over y = x the image is (y, x).
anyone knows this cuz i need help!?
Answer:
I think its D
Step-by-step explanation:
im not sure correct me if im wrong thanks
Answer:
C
Step-By-Step explanation:
Yes, the square root of 12 is irrational.
Write 15 decreased by 4 times x as a expression.
Answer: 15-4x
Step-by-step explanation: 15 is being subtracted by 4 multiplied by x (4x).