Answer:
I think C
Step-by-step explanation:
Given: Parallelogram PORS, QT is perpendicular to PS, SU is perpendicular to QR
Prove: PT congruent to RU
Since RQ is congruent to PS and RS is congruent to QP, QT = SU, therefore QT and SU are congruent which means PT and RU are also congruent
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.
One the property of a parallelogram is that the opposite lines are parallel and congruent.
Therefore RQ = PS ( they are both congruent)
PS = RS ( they are both congruent )
Therefore the measure of line PT = line SU = QT.
This means that the value of PT = R U , we can therefore say that PT and RU are congruent.
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1/4 divided by 3/5
show your work ;)
Answer: When dividing two fractions you simply multiply the first one by the reciprocal of the second:
1
4
3
5
=
1
4
⋅
5
3
=
5
12
in calculating which means differ, each pair of means needs a unique range. t/f
It is true that in calculating which means differ, each pair of means needs a unique range.
To determine if two means are different, a statistical test such as a t-test or an ANOVA is typically used. These tests compare the means of two or more groups and require a unique range for each group. This range is typically represented by the variance or standard deviation of the group's data.
For example, if we have two groups of data, group A and group B, and we want to determine if the mean of group A is different from the mean of group B, we would need the range of data for group A and the range of data for group B. The range of data includes the variance or standard deviation which is used to calculate the t-value or the F-value which is used to determine if the means are significantly different. Without this information, we cannot accurately compare the means and determine if they are different.
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FIND THE EQUATION OF THE LINE THAT IS PERPENDICULAR TO 2Y - 3X = 10 THROUGH POINTS (-8,-1).
First you turn the equation into y=mx+b form.
2y-3x=10
2y=3x+10
2y/2=(3x+10)/2
y=3/2x+5
Next you take the opposite of the slope.
Slope = 3/2
Opposite = 2/3
Then you insert your values into y-y1=m(x-x1)
y+1=2/3(x+8)
y+1=2/3x+16/3
The answer is
y=2/3x+13/3
Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What is the value of x in the solution to the system of equations?
3/4
9
10
41/3
The required solution of the simultaneous equation is given as x = 10 and y = -1.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Given equations,
x – y = 11 - - - - - (1)
2x + y = 19 - - - -- -(2)
Put x form equation 1 in equation 2
2 [11 + y] + y = 19
y = -1
Now,
x = 11 + y
x = 10
Thus, the required solution of the simultaneous equation is given as x = 10 and y = -1.
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Line m represents a translation of line L3 units down and 2 units left. Which equation represents line L?
The linear equation L, which is a translation of line M, can be written as:
y = (2/3)*x - 2
So the correct option is the last one.
How to find the equation of line L?
First, we need to find the equation of line M.
Remember that the general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = -2, then we wll get:
y = a*x - 2
And we can also see that the line passes through (-3, -4)
Replacing these values we will get:
-4 = a*-3 - 2
-4 + 2 = -3a
-2/-3 = a
2/3 = a
So line M is:
y = (2/3)*x - 2
And line M is a translation of 3 units down and 2 units left of L, then L is a translation of 3 units up and 2 units to the right, then we can write line L as:
y = (2/3)*(x - 2) - 2 + 3
y = (2/3)*x + (2/3)*-2 - 2 + 3
y = (2/3)*x - 4/3 + 1
y = (2/3)*x - 1/3
So the correct option is the last one.
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Which equation would you use to solve the following situation?
There are 3 people at a party. Several more people arrive late, and now there are 14 people at the party. How many people (
x
) arrived late?
x
+
14
=
3
3
x
−
14
=
x
x
−
3
=
14
3
+
x
=
14
Answer:
(d) 3 + x = 14
Step-by-step explanation:
You want to know an equation that can help you find the number who arrived late, if the total of an initial 3 and the number who arrived late is 14.
EquationYou want to express that an unknown number, added to three, makes a total of 14:
3 + x = 14
The World Health Organization (WHO) sets standards for Oral Rehydration Salts (ORS) which are given to patients suffering from dehydration. ORS packets save lives, especially those of children. They have recently updated the formula. What percent is salt (Sodium Chloride) in the old formula? What percent is salt in the new formula?
The World Health Organization (WHO) sets standards for Oral Rehydration Salts (ORS) which are used to treat dehydration, particularly in children.
The old formula for ORS packets recommended by the WHO contained 75 mM (millimoles) of sodium chloride, which is equivalent to 3.5 grams of salt per liter of water. The new formula for ORS packets recommended by the WHO contains 65 mM (millimoles) of sodium chloride, which is equivalent to 3.0 grams of salt per liter of water.
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The cost of a renting car is $30 per day plus twenty-five cents for each mile,m. Write an expression to represent this situation.
Answer:
The cost of renting a car can be represented by the expression:
C = 30m + 0.25m
Where C is the total cost, 30 is the fixed cost per day, and 0.25 is the cost per mile.
Step-by-step explanation:
What is the probability that a test correctly rejects a false null hypothesis called?
A. P-value
B. power of the test
C. Type Il error
D. significance level
Option D is the correct answer. The probability that a test correctly rejects a false null hypothesis is called the significance level.
The significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant.
The probability of making a type II error (failing to reject the null hypothesis when it is actually false) is called β (beta). The quantity (1 - β) is called power, the significance level is the probability of rejecting the null hypothesis when it is true.
For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.
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In the diagram below, line R is parallel to line S. Lines R and S are cut by a transversal.
true or false? angles 6 and 8 are supplementary
Answer:
yup! its true. They are supplementary angles.
Step-by-step explanation:
Consider these functions:
f(x) = 3x³ + 2
g(x) = 3√ x-2 / 3
Which statements, if any, are true about these functions?
I. The function f(g(x)) = x for all real x.
II. The function g(f(x)) = x for all real x.
III. Functions f and g are inverse functions.
Therefore , the solution of the given problem of function comes out to be Option 2 is correct.
What does the term function refer to?The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input. Each function is given a city, town, or scope, which is frequently referred to as a realm. Functions are typically denoted by the letter f. (x). The input contains an x.
Here,
=> f(x) = 3x³ + 2
=> g(x) = 3√ x-2 / 3
For ,
=> f(g(x)) = 3x³ + 2
=> f(g(x)) = 3(3√ x-2 / 3)³ + 2
=> f(g(x)) = (9/√x - 2/3)³ + 2
Thus ,
Option 2 is correct.
Therefore , the solution of the given problem of function comes out to be Option 2 is correct.
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Help please! Need explanation. Will give brainliest! Thanks
Answer:
8
Step-by-step explanation:
First look at the left, under the weight 2 there are 2 little boxes one of them is 1. so the other one must be one. that'll make this small group 2+1+1 =4, which means the other side to balance it, it is also 4.
now we've got 2*4 = 8 under 13. so left side total = 13+8 = 21
now look at the right side, it also must be 21. we already know there is a 5, then under neath the 5, to balance the remaining weight 21-5 = 16, each side must be equal. so each side = 8.
watermelon itself is one side, so it's 8.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, using only the blanks needed. Division Line
2 2/5 divided by 2 3/4
Answer:
Step-by-step explanation:
yooooooooooooooooooo
the value of a painting rises from 120,000 to 192,000 workout the percentage increase in the value of the painting
Answer:
i think it will be 16% percent increase in the value of the painting
Answer:
60% increase
Step-by-step explanation:
The painting increases from 120 000 to 192 000 <==== a 72 000 increase
72 000 is what percent of 120 000 ?
72 000 / 120 000 x 100% = 60% increase
A number is multiplied by 8, and that product is added to 4. The sum is equal to the product of 4 and 7. Find the number.
Answer:
Step-by-step explanation:
y×8=8y
8y+4=4×7
8y+4=28
8y=24
y=
Answer:
The number is:
3
Step-by-step explanation:
8a + 4 = 4*7
8a + 4 = 28
8a = 28 - 4
8a = 24
a = 24/8
a = 3
Check:
8*3 + 4 = 4*7
24 + 4 = 28
Find the mean of the three numbers at the right 2 1/3 3 2/3 5 1/4
Answer:
To find the mean (average) of a set of numbers, we add them together and divide by the number of items in the set.
The first step is to convert all the fractions into a common denominator. In this case, the least common multiple of 3, 3, and 4 is 12.
2 1/3 = 7/3
3 2/3 = 11/3
5 1/4 = 21/4
Now we can add these numbers together:
7/3 + 11/3 + 21/4 = (7 + 11 + 21) / 3 = 39/3 = 13
There are three numbers, so we divide by 3.
Mean = 13/3 = 4 1/3
So the mean of 2 1/3, 3 2/3 and 5 1/4 is 4 1/3.
Step-by-step explanation:
10. Jim, a local surveyor, wants to find the distance across the lake from point A to point B. He located a point C
on land and surveyed points E and D to create the diagram below with ED parallel to AB. He found the
following distances. AC = 1800 ft DC = 700 ft
ED = 800 ft BC= 1400 ft Find AB in feet.
A
1800 ft
Answer: 1440
Step-by-step explanation:
with fractions generall
something or to figure out the cost, weight, or si
have information about only one thing. Reduce all yo
Out of a 40-hour work week, Jack
worked of the time. How many hours
did he work?
5. If o
muc
Jack worked 40 hours a week with fractions of something because he had been employed at the time.
what is fractions ?To represent a whole, any number of equal parts or fractions can be utilized. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of a whole. In mathematics, numbers are stated as a ratio of the numerator to the denominator. These can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator. The numerators of true fractions are smaller than the denominators. A sum that is a fraction of a total is called a fraction. You can analyze something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolize half of a whole number or object.
given
40-hour work week
jack worked 40 hours in a week
Jack worked 40 hours a week with fractions of something because he had been employed at the time.
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Which expiression has a value of 2/3
Answer:
Step-by-step explanation:
(8 + 24) ÷ (12 x 4) = 2/3
In testing for the equality of k population means, the number of treatments is O a.nt-k. O b. K. O c.nT O d.k-1.
In testing for the equality of k population means that the number of treatments is K. option(b) is the correct answer.
The average treatment deviation is significantly correlated with the average error deviation when the k population means are truly unique from one another. N is the total number of observations included in the analysis, and k is the number of independent groups, in this case, k=4. Hence, option B is the relevant choice.
The two-sample t-test, also known as the independent samples t-test, is a method for determining whether or not the unknown population means of two groups are equal. When your data values are independent, randomly picked from two normal populations, and the variances of the two independent groups are equal, you can utilise the test.
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Y= and x=47
X-5y?
What is the answer
The value of the expression (x - 5y) at y = 5 and x = 47 will be 22.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x - 5y)
The value of the expression at y = 5 and x = 47 will be given as,
⇒ 47 - 5 (5)
⇒ 47 - 25
⇒ 22
The value of the expression (x - 5y) at y = 5 and x = 47 will be 22.
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The complete question is given below.
y = 5 and x = 47. Find the value of the expression (x - 5y).
Un 7 and 8, use the table at the right
The number of points scored by Howie and Theo is 600 (Nearest Hundred)
What is addition?Addition in mathematics is a process of combining two or more numbers. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum.
from the table,
Howie scored 272 points
Theo scored 325 points
By adding their scores
=272 + 325
=597
Rounding off to the nearest Hundred, 597=600
Hence, Howie and Theo scored 600points
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1
f(x) = 0.3(5)
f(x) = 3 (¹²) ²
f(x) = 2(0.5)
135
X
1. Growth
2. Decay
Answer:
1. Growth
2. Decay
3. Decay
Step-by-step explanation:
Growth means as x increases, y increases too. On the other hand, decay means as x increases, y decreases. There's the theory for exponential function regarding this growth and decay.
Growth
If the base is not a decimal or a fraction then it's growth.
Decay
If the base is a decimal or a fraction then it's decay.
From the problem, first function has base of 5. Hence, it's growth. On the other hand, second and third function both have decimal and fraction as the base. Hence, it's decay.
When considering growth or decay graph, we can ignore the coefficient since it doesn't determine the growth and decay. The only thing that determines if a function increases or decreases is the base under the exponent.
Fill in the blank with the appropriate word or expression. For B>0, the graph of y = sin Bx will have a period of _____
For B>0, the graph of y = sin Bx will have a period of (2π/B) units. The period of a sine function is the length of one complete cycle of the function.
The period of a trigonometric function is the length of one complete cycle of the function.
For the sine function, this is the distance between two consecutive points at which the sine value is equal to zero, or the distance between two consecutive maxima or minima. In this case, the graph of y = sin Bx is multiplied by a factor of B, which will stretch or compress the graph along the x-axis by a factor of B.
Therefore, the period of the graph will be (2π/B) units.
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Which step is the most efficient way to find the solution of x + 4 > -8?
A. Add 4 to both sides.
B. Substitute 1 for x and see if it works.
C. Subtract 4 from both sides and switch the inequality symbol.
D. Subtract 4 from both sides.
Answer:The most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Given that,
To determine which step is the most efficient way to find the solution of x + 4 > -8.
Step-by-step explanation:
A loan of $25,000 has an annual simple interest rate of 5.5%. The total cost of the loan is $38,750.
B. How long does it take to repay the loan?
===========================================
Work Shown:
A = final value = 38750
P = amount loaned = 25000
i = interest
i = A - P = 38750 - 25000 = 13750
Now apply the simple interest formula to solve for t.
i = P*r*t
13750 = 25000*0.055*t
13750 = 1375*t
t = 13750/1375
t = 10 years to pay off the loan
Side note: r = 0.055 is the decimal form of 5.5%
Biking at a constant speed, Laina
complete a ride of 15 miles in
60 minutes
A constant speed to complete ride is 4 minutes
What is constant speed?When an object travels the same distance in the same period of time, it is said to be traveling at a constant speed. At constant speed, an object travels a uniform distance in an equal interval of time. The equation of the speed can be given as: S = d t.A car maintaining a speed of 20 meters per second as it moves in a straight line for 5 seconds is in constant motionTo have a constant velocity, an object must have a constant speed in a constant direction. Constant direction constrains the object to motion in a straight path thus, a constant velocity means motion in a straight line at a constant speed.Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a forceTo learn more about constant speed refers to:
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The highest temperature ever recorded for a person with a fever who survived was 115 degrees. Alternatively, the lowest temperature ever recorded on a patient who survived was 56.7 degrees. If the average temperature is 98.6 degrees, which extreme temperature was furthest from the norm? How much further?
(PLEASE HELP ME DUE IN TODAY)
TYSM FOR THE TIME!!!!!!!
Answer:
[tex]56.7[/tex] degrees
Step-by-step explanation:
The distance of [tex]115[/tex] degrees from [tex]98.6[/tex] degrees is [tex]115 - 98.6 = 16.4[/tex] while the space of [tex]56.7[/tex] degrees from [tex]98.6[/tex] degrees is [tex]98.6-56.7 = 41.9[/tex], so the answer is [tex]56.7[/tex].
Use properties to rewrite the given equation. ch equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
After rewriting the given equation, we have the resultant equations as (B) -2.3p - 10.1 = 6.49p - 4 and (C) -230p - 1010 = 650p - 400 - p.
What are equations?Two expressions joined by an equal sign form a mathematical statement known as an equation.
An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
So, we have the equation:
2.3p - 10.1 = 6.5p - 4 - 0.01p
Now, we can rewrite them as follows:
-2.3p - 10.1 = 6.49p - 4
-230p - 1010 = 650p - 400 - p
Therefore, after rewriting the given equation, we have the resultant equations as (B) -2.3p - 10.1 = 6.49p - 4 and (C) -230p - 1010 = 650p - 400 - p.
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Correct question:
Use properties to rewrite the given equation. ch equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
a. 2.3p - 10.1 = 6.4p - 4
b. 2.3p - 10.1 = 6.49p - 4
c. 230p - 1010 = 650p - 400 - p
d. 23p - 101 = 65p - 40 - p
e. 2.3p - 14.1 = 6.4p - 4