The value of ST is 8.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.
Given:
ST=5x-7, RT=4x+9, RS=2x+7
So,
RS + ST = RT
2x +7 + 5x -7 = 4x+9
7x = 4x +9
3x= 9
x=3
So,
ST= 5x-7 = 5*3 -7= 15-7= 8
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Find the relative extrema of the function, if they exist. Also, state the intervals where the function is increasing or decreasing. g
Answer:
The question is not complete. I will explain relative extrema and how to calculate it.
Step-by-step explanation:
The singular of extrema is extremum and it is simply used to describe a value that is a minimum or a maximum of all function values.
A function will have relative extrema (relative maximum or relative minimum) at points in which it changes from decreasing to increasing, or vice versa.
So if f(y) is a function of y
Function f(d) will be is a relative maximum of f(y),if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≤ f(d)
Function f(d) will also be a relative minimum of f(y),if there exists an interval (a, b) containing d
such that for all y in (a, b) , f(y) ≥ f(d)
Kindly note that If f(d) is a relative extrema of f(y), then the relative extrema occurs at y = d.
For the local extrema of a critical point to be determined, the function must go from increasing, that means positive [tex]f^{'}[/tex], to decreasing, that means negative [tex]f^{'}[/tex], or vice versa, around that point.
[tex]f^{'}[/tex] is determined by finding the first derivative of the function f(y). The relative extrema will therefore allows us to check for any sign changes of f′ around the function's critical points.
In a right triangle, the side opposite angle has length 4.84 meters and the hypotenuse has length 7.01 meters. What is the sine of the angle?
Answer:
0.69
Step-by-step explanation:
Let θ be the angle.
The following data were obtained from the question:
Opposite = 4.84 m
Hypothenus = 7.01 m
Sine θ =?
The sine of the angle θ can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine θ = 4.84/7.01
Sine θ = 0.69
Therefore, the sine of the angle is 0.69
What is I need it fast 3/4x = -18
Answer:
x=-24
Step-by-step explanation:
i looked it up
Answer:
X = - 1
24
Step-by-step explanation:
Solution,
3/4x = -18
or, 3/4x = -18/1
or, 3*1 = 4x*(-18) [ cross multiplication ]
or, 3 = -72x
or, -72x = 3
or, x = 3/(-72)
or, x = - 1 [ Answer ]
24
3. MP Be Precise How can you use a unit rate to determine if a relationship is proportional?
Answer:
If all the ratios are equal, then the relationship is proportional. If all the ratios are not equal, then the relationship is not proportional.
I hope this helps
Step-by-step explanation:
** uestion number 2
A hardware store buys a hammer at a cost of
$6.00. The selling price of the hammer is
$12.00
The amount of markup is - and the
percent of markup based on selling price
rounded to two decimal places is
Hint: Use the formulas: Markup Selling
Price - Cost, and
Percent of Markup based on a re
Selling Price
Answer:
12 - 6 = $6 markup
marked up 200% (i think) because it is sold at twice the amount of bought price
If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units
Answer:
[tex] Volume = 12\sqrt{7} [/tex] cubic units
Step-by-step explanation:
Volume of the square pyramid is given as ⅓*area of base*height of pyramid.
Where,
Area of base = 6*6 = 36
Height of pyramid = altitude = [tex] \sqrt{7} [/tex] units
Plug the values into the formula to find volume.
[tex] Volume = \frac{1}{3}*36*\sqrt{7} [/tex]
[tex] Volume = 12*\sqrt{7} [/tex]
[tex] Volume = 12\sqrt{7} [/tex] cubic units
I need help PWEASEEEE
Answer:
B.
Step-by-step explanation:
From the number line, we can see that the blue line points to all values to the left of 5. This means all values less than 5.
Also, note that since the blue dot is closed, the inequality includes 5.
Therefore, the inequality that represents the graph is all values less than or equal to 5.
In notation, this is:
[tex]x\leq 5[/tex]
The answer is B
Answer:
your answer is B. [tex]x\leq 5[/tex]
Step-by-step explanation:
[tex]x\leq 5[/tex] means that your arrow should be point left which means less than the line under the less than means that the don´t should be shaded in
Simplify 2x^2(-3x^2)^3
Answer:
[tex]-54x^8[/tex]
Step-by-step explanation:
[tex]2x^{2}(-3x^2)^3\\\\2x^2((-3)^3(x^{2*3}))\\\\2x^2(-27x^6)\\\\2(-27)(x^{2+6})\\\\-54x^8[/tex]
Answer:
[tex]-54x^{8}[/tex]
Step-by-step explanation:
[tex]2x^{2} (-3x^{2} )^{3}[/tex]
We first carry through the cube.
[tex]-3^{3} x^{2*3}[/tex]
[tex]-3^{3}[/tex] = -27 [tex]x^{2*3} = x^{6}[/tex]
Now we have [tex]2x^{2} (-27x^{6} )[/tex]
2 * - 27 = -54
[tex]x^{2} *x^{6} = x^{8}[/tex]
[tex]-54x^{8}[/tex]
5/4 * 6/7 Multiply. Write your answer as a fraction in simplest form. Thank you btw
Answer: 59/28
Step-by-step explanation: 59/28
Determine whether the statement is true or false. 12∈{18,17,15,13,12}
Answer:
True
Step-by-step explanation:
12 is the last element of the given set. The statement that it is an element of the set is true.
Simplify if possible
За2 + ба +2b2
Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount monthly plus a charge for each cubic foot of water used. A household using 1500 cubic feet was billed $80, while one using 2100 cubic feet was billed $92. Write an equation for the total cost of a resident's water as a function of cubic feet of water used.
Answer:
A = 50 + 0.02x
Step-by-step explanation:
Let the fixed amount be m
Let the charge for each cubic ft used be c
Let the amount of cubic ft of water used be x.
Let the total cost per month be A
Now, for the first household, they used 1500 cubic feet in a month and were billed $80.
This means, x = 1500 ft³ and A = $80
Since, we are told they are charged a fixed amount plus a fee per cubic ft consumed. We can say that;
m + cx = A
Thus,
m + 1500c = 80 - - - - (eq1)
For 2nd household:
They used 2100 cubic feet was billed $92.
Thus;
m + 2100c = 92 - - - - (eq 2)
Let's subtract eq1 from eq 2 to get;
2100c - 1500c = 92 - 80
600c = 12
c = 12/600
c = 0.02
Putting 0.02 for C in eq1 gives;
m + 1500(0.02) = 80
m + 30 = 80
m = 80 - 30
m = 50
From m + cx = A, we can say that;
50 + 0.02x = A
A couple wants to install hardwood into their bedroom. The wood is bought in 0.5 x 5 square foot pieces. They have 422
square feet of floor on which to install the hardwood. How many 0.5 x 5 sections must be purchased?
Answer:
did u ever find an answer
Answer:
d: 169
Step-by-step explanation:
Which data set could be represented by the box plot shown below?
Answer/Step-by-step explanation:
The answer choices to this question showing possible set of data that could be represented by the box plot is missing.
However, here's how to find out which data set could be represented by the box plot.
The box plot given displays of a five-number summary consisting of,
1. The minimum value = 24
2. The second quartile = 27
3. The median value = 31
4. The third quartile = 33
5. The maximum value = 34
With these values known, you can easily find out which data set the box plot represents. Thus, the data set that has a min value of 24, max value of 34, and a median of 31 should be the data set that the box plot is representing. If you have more than one options having these same three values, then proceed to find the second and third quarter to determine which one is the most appropriate.
Answer:
the answer is b just b UwU
Step-by-step explanation:
please help// geometry question... i will post the other picture for this question it will be under “geometry question pt.2”
Answer:
a) E
b) line segment AB
Step-by-step explanation:
a) E
b) line segment AB (It's AB with the line over it - no arrowheads)
Answer:
a)e
b)a
c)e
Step-by-step explanation:
A teacher gave his students the four graphs below. Which graph represents a geometric sequence?
Answer:
Graph A
Step-by-step explanation:
Answer:
The Answer is Graph A on Edge
Step-by-step explanation:
Combining liked terms. Solve these, please. 1. -6k+7k 2. 12r-8-12 3. n-10+9n-3 4. -4x-10x
Answer: 1: k 2: 12r-20 3: 10n-13 4: -14x
Step-by-step explanation:
you put $500 in your bank account. With a interest rate of 5%, how long will it take the account to reach $600?
Answer:
4 years hope this helps
Step-by-step explanation:
Answer:
4 Years
Step-by-step explanation:
t = I/Pr
Note the 600 is the total amount in the account.
Therefore Interest, I = 600 - 500 = 100.
t = 100 / (500 * 5%)
t = 100 / (500 *0.05)
t = 4
It will take 4 years.
The price for 2 student tickets and 4 adult tickets to a play is $50. Adult tickets are $5 more than student tickets. write an the equation
Answer:
2x + 4y = $50
x = $5, and y = $10
Step-by-step explanation:
let the price of student's ticket be represented by $x, and that of adult by $y. So that:
2x + 4y = $50 ................ 1
But, given that adult tickets are $5 more that student tickets.
i.e y = x + $5 ................. 2
Substitute equation 2 into 1, to have;
2x + 4(x + $5) = $50
2x + 4x + $20 = $50
6x = $30
x = $5
From equation 2,
y = 5 + 5
= $10
Therefore, the price of student tickets is $5 and adult tickets is $10.
The set of numbers whose decimal representations are neither terminating nor repeating is called the set of
Answer:
its A
Step-by-step explanation:
Answer: terminating nor repeating
Step-by-step explanation:
FIND THE VALUE OF X2 FOR 20 DEGREES OF FREEDOM AND AN AREA OF .010 IN THE RIGHT TAIL OF THE CHI SQUARE
Answer:
The critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.
Step-by-step explanation:
We have to find the value of chi-square for 20 degrees of freedom an area of 0.01 in the right tail of the chi-square.
As we know that in the chi-square table; there is one vertical column represented by 'P' (the level of significance and one horizontal column represented by '[tex]\nu[/tex]' which is degrees of freedom.
Here, the degrees of freedom given to us is 20.
and the level of significance is 0.01 or 1% for the right tail of chi-square.
By looking at the chi-square table, the critical value of chi-square for 20 degrees of freedom and 0.01 level of significance is 37.57.
y ÷ 5 = 2/5 . Find the value of y.
Answer:
y=2
Step-by-step explanation:
[tex] \frac{y}{5} = \frac{2}{5} \\ = > y = \frac{2}{5} \times 5 \\ = > y = 2[/tex]
Answer: Y=2
Step-by-step explanation:slove for y by simplifying both sides of the equation, the isolating the variable.
solve for v
pleaseee answer and explain <333
Hi there! :)
Answer:
[tex]\huge\boxed{v = -27}[/tex]
[tex]\frac{v-3}{4} = \frac{9+2v}{6}[/tex]
Cross multiply:
[tex]6 ( v - 3) = 4 ( 9 + 2v)[/tex]
Distribute:
[tex]6v - 18 = 36 + 8v[/tex]
Isolate the "v" variable:
[tex]6v - 18 + 18 = 36 + 18 + 8v[/tex]
[tex]6v = 54+ 8v[/tex]
[tex]6v - 8v = 54+ 8v - 8v[/tex]
[tex]-2v = 54\\\\v = -27[/tex]
A plant is already 15 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M. Then graph your equation using the axes
Answer:
H = 15 + M
Step-by-step explanation:
The plant starts out at 15 cm tall, therefore the y intercept is (0,15) and there is an x intercept but it isn't valid in this case as a plant cannot grow backwards (I assume). The domain would be (0,infinity) and the range would be (15,infinity).
The sum of 11 times 4x squared and 5x
Answer:
49x
Step-by-step explanation:
5x+(11*4x)
5x+44x
49x
The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as 44x² + 5x.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as shown below.
11 times 4x squared → 11 × 4x² = 44x²Sum of 11 times 4x squared and 5x → 44x² + 5xHence, The given statement "The sum of 11 times 4x squared and 5x" can be written in the form of an expression as 44x² + 5x.
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What is 387.0642 rounded to the nearest hundredth
Answer:
387.06
Step-by-step explanation:
(0 to 5) = round down
(5 to 9) = round up
[tex]387.0642 \\ \: \: 1 \: 00[/tex]
Answer:
387
Step-by-step explanation:
387.0642 apprx. 387
0 is not equal to five nor is greater than.
Hope this helps ;) ❤❤❤
Suppose you toss 6 coins. What is the probability that 3 of the coins are heads and 3 of the coins are tails
Answer:
12, either it will happen or it won't. It is true that each sequence of heads and tails is equally likely to occur – with probability 164, in this case. However, the number of those sequences having exactly three heads is not 32, but (63)=20, which leads to the correct answer of 516.
Step-by-step explanation:
Answer: 50%
Step-by-step explanation: Because the likelyhood would be as likely as not then that would be half of 100, or 50%
Rewrite 9+7=16 using the commutative law of addition
Answer:
7 + 9 = 16
Step-by-step explanation:
The commutative law states that a + b = b + a and ab = ba.
This means that 9 + 7 = 7 + 9.
Therefore, we can rewrite the equation as 7 + 9 = 16.
The five number summary of a dataset was found to be: 45, 46, 51, 60, 66
An observation is considered an outlier if it is below:____________.
An observation is considered an outlier if it is above:____________.
Answer/Step-by-step explanation:
Given the five summary of a data set:
45 - min
46 - Q1
51 - Median
60 - Q3
66 - Max
Thus, any number less than [tex] Q_1 - (1.5*IQR) [/tex], or any number that is greater than [tex] Q_3 + (1.5*IQR) [/tex] would be considered an outlier.
The IQR of the data set = Q3 - Q1 = 60 - 46 = 14
Thus,
[tex] Q_1 - (1.5*IQR) = 46 - (1.5*14) = 46 - 21 = 25 [/tex]
Therefore, an observation is considered an outlier if it is below: 25.
[tex] Q_3 + (1.5*IQR) = 60 + (1.5*14) = 60 + 21 = 81 [/tex]
Therefore, an observation is considered an outlier if it is above: 81.
Solve the compound - 20 ≤ 2x - 20 ≤ 10
Answer:
0≤ x ≤ 15
Step-by-step explanation:
- 20 ≤ 2x - 20 ≤ 10-20 + 20 ≤ 2x - 20 + 20 ≤ 10 + 20 ⇒ add 200 ≤ 2x ≤ 30 ⇒ divide by 20≤ x ≤ 15 ⇒ answeror x = [0,15]