Answer:
Yeah
Step-by-step explanation:
If (3y-9)^2+7=43, then what is(are the values of y?
Answer:
y = 1 and y = 5
Step-by-step explanation:
[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]
The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5
How to solve for y?The equation is given as:
(3y-9)^2+7 = 43
Subtract 7 from both sides of the equation
(3y - 9)^2 = 36
Take the square root of both sides
3y - 9 = ±6
Add 9 to both sides
3y = 9 ± 6
Divide through by 3
y = 3 ± 2
Expand
y = (3 - 2 or 3 + 2)
Evaluate
y = 1 or 5
Hence, the values of y are 1 and 5
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4th grade math question:
jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.
Answer:
1 gallon
Step-by-step explanation:
gallons of paint needed; 4
gallons used: (3/4)*4
= 1 gallon was used
Answer:
Answer is 3 gallons
Step-by-step explanation:
1 gallon= 25%
2 gallons=50%
3 gallons=75%
3/4 is equivalent to 75%
Hope this helped!
Write a word description of the set.
{1, 3, 5, 7, 9, 11, 13}
The set of odd natural numbers is less than
Answer:
if this is multiple choice then you forgot to give us the answers. the best answer i can give you is "the set of odd numbers is less than 15 because it does not exceed 13
A word description of sets is given below.
We have the following set - {1, 3, 5, 7, 9, 11, 13}.
We have to write a word description of set.
What is Set ?A set is a collection of elements or members, which can be mathematical objects of any kind for example → numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
According to the question, we have the following set -
{1, 3, 5, 7, 9, 11, 13}
The above set is written in Roster or enumeration notation with the members enlisted between the curly braces. This set consist of 7 elements and each element of this set can be determined using the following rule -
a(n) = 2n - 1
This also represents the set of odd positive integers.
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A team of researchers want to measure the distance covered while driving compared to a car's driving speed. Which statement is correct?
a. The speed of the car is a confounding variable.
b. The speed of the car is an explanatory variable.
c. The speed of the car is a response variable.
d. The speed of the car is a dependent variable.
Answer:
b. The speed of the car is an explanatory variable
Step-by-step explanation:
In the scenario above, the variable which the researcher intends to measure is the a distance covered by a car using the speed information available. The measured variable is the dependent variable as it outcome depends on the variable with which it is being measured, this is called the independent or explanatory variable.
Therefore, car speed is the explanatory or independent variable
Distance is the dependent, response or measured variable.
The probability that he or she is a female given that the person is married
Answer:
3 /4
Step-by-step explanation:
The probability that selected person is a female Given she is married :
This is a conditional probability in the form ; A given B
P(A|B) = P(AnB) / P(B)
Let, Female = F ; Married = M
P(F|M) = P(FnM) / P(M) = 150 / 200 = 3 / 4
(y=179x
(y=105x+2046
Solve using elimination method and graph plss
Helpppp
Answer:
[tex]x= \frac{2046}{74}\\\\y = \frac{366234}{74}[/tex]
Step-by-step explanation:
[tex]y = 179x\ ----- ( 1 ) \\\\y= 105x + 2046 \ ----- (2)\\\\[/tex]
[tex](1) => y - 179x = 0 \ ----- ( 3)\\\\(2) => y - 105x = 2046 \ ------ ( 4)[/tex]
[tex]( 3 ) - ( 4) =>\\\\(-179x +105x ) = 0 - 2046\\\\-74x = -2046\\\\x = \frac{2046}{74}[/tex]
[tex]Substitute \ x \ in ( 1 )\\\\y = 179x \\\\y = 179 \times \frac{2046}{74} = \frac{366234}{74}[/tex]
A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle
The numbers are a whole and a fraction that’s why there is a space
Answer:
6 3/8 units
Step-by-step explanation:
1 1/2* 4 1/4= 6 3/8
A cylinder of radius 12cm and height 9cm.
Plzzz someone help i just need the formula
Answer:
[tex]S(y)=36000*(1+0.03)^{y}[/tex]
Step-by-step explanation:
Answer:
y=36,000×1.03^x
Step-by-step explanation:
how to write expression for The product of ten less than a number and the number
Answer:
x-10
Step-by-step explanation:
ten is less than x
follow me for more answer
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.
Answer:
0.109 = 10.9% probability that it is raining if the flight leaves on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Conditional probability:
Event A: Leaves on time
Event B: Raining
Probability that the flight will be delayed is 0.08.
So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]
The probability that it will not rain and the flight will leave on time is 0.82.
0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:
[tex]P(A \cap B) = 0.1[/tex]
What is the probability that it is raining if the flight leaves on time?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]
0.109 = 10.9% probability that it is raining if the flight leaves on time.
Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green
Answer:
The correct answer would be 3/8.
Step-by-step explanation:
There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .
The theoretical probability that it will land on green is 1.
What is the probability?
It is the likeliness of happening an event. It is calculated by the following formula:
Probability=number of events/number of total events.
How to calculate the probability?
Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.
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which of the following is not an appropriate method of proving triangles congruent. A] .asa B].sas C]ssa. D] sss.
what is A big rubbing alcohol holds 2 liters . How many milliliters is this
Answer:
it equals 2000 mililiters
Step-by-step explanation:
What is the slope of the linear relationship shown in this table of values?
Answer: -2 (b)
Step-by-step explanation:
So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.
Take a pair of points like (-4, 11) and (2, -1)
{But you can use other points in the chart too. }
-4 to 2 is a distance of 6 --> that is the x
11 to -1 is a distance of -12 --> that is the y
We want the change in y over (or divided by) change in x.
-12 / 6 = -2
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table
m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B
We need to find the numerator and denominator of the quotient.
Answer:
[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]
Step-by-step explanation:
[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]
[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]
[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]
[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]
[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]
[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]
PLS HELP ASAP! FIND THE VOLUME OF X.
Answer:
Step-by-step explanation:
5x + 150 = 180
5x = 30
x = 6
Hope this help!!!
Have a nice day!!!
What is the surface area and volume of the sphere shown below?
Your response should show all necessary calculations and diagrams.
Answer:
ur mom
Step-by-step explanation:
doin doin
Someone help me please
Square root of 121
Write an equation of the line containing the point (3,5) and perpendicular to the line 4x-3y=5
The equation of the line is ___
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
[tex]-3y=-4x+5[/tex] and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
[tex]y=\frac{4}{3}x-\frac{5}{3}[/tex] So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
[tex]y-5=-\frac{3}{4}(x-3)[/tex]* and
[tex]y-5=-\frac{3}{4}x+\frac{9}{4}[/tex] and
[tex]y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4}[/tex] so
[tex]y=-\frac{3}{4}x+\frac{29}{4}[/tex]** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
Find the slope from the given equation. 9y = -3x + 5
Answer:
-3/9x
Step-by-step explanation:
You rearrange for 'y' so divide both sides by it's coefficient which is 9.
Answer:
The slope is -1/3
Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.
Answer:
18.67 ft
Step-by-step explanation:
|\
| \
| \
h | \ 20 ft
| \
| \
|-- 69° \
---|----------------
For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.
sin A = opp/hyp
sin 69° = h/20
h = 20 * sin 69°
h = 18.67
Answer: 18.67 ft
the ratio of the following 30 minutes to 2 hours.
Answer:
30 minutes to 120 minutes.
Step-by-step explanation:
Answer:
2 hrs=120 min
30:120=1:4
Step-by-step explanation:
ans is 1:4
marke brainliest plzzzzzzz
the ratio of A:B is 3:4, the ratio of C:D is 1:2, the ratio of B:C is 2:5 What is the ratio of A:D?
The answer is attached. I hope this helps answer your question!
The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5
please help this is due today! geometry
Find the distance between the points (4.3) and (0, 3).
I need help, Thank you
Answer:
It should be 33 degrees!
Step-by-step explanation:
This can be found out when we realize that all complimentary degrees add up to 90!
Answer:
33 degrees
Step-by-step explanation:
Simplify the following expression.
29.718 - 29.63
Answer:
0.088 is the answer...
If RT is 10 centimeters long, what is ST?
Answer:
Answer: a
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
First, find x
RT = 2x + 3x
10 = 2x+3x
10 = 5x
10/5 = 2
Now place 2 in place of x in the line ST
ST = 3x
ST = 3 * 2
ST = 6
plss.. help me po goisss:( BRAINLIEST KO PO YUNG TAMANG SAGOT PLSS:(
I.)
1.) 7N = 50
2.) 35 - 16 = N
3.) 2P + 8 = 24
4.) R/5 = 9
5.) 30 - 10 = 20
II.)
1.) Twinity increased by eight times N
2.) D decreased by eleven
3.) The quotient of X and nine is K
4.) Five times X
5.) Three times a decreased by 5 is thirteen
6.) Nothing
7N = 50
35 - 16 = N
2P + 8 = 24
R/5 = 9
30 - 10 = 20
Twenty increased by eight times N
D decreased by eleven
The quotient of X and nine is K
Five times X
Three times a decreased by 5 is thirteen