Answer:
[tex](x+2)^2+(y-9)^2=[/tex] 90
Step-by-step explanation:
The centre is (-2,9) so the first part of the equation will be (x+2)^2 + (y-9)^2 and to get the second half, you know the point on the circle which you can use to find the radius. So the triangle formed would be 3 long, 9 high and using Pythagoras you can do:
[tex]3^2+9^2=r^2[/tex]
9+81= [tex]r^2\\[/tex]
90 = [tex]r^2[/tex]
and this equation ends with r^2 so you can substitute that back into the equation so together it will be
[tex](x+2)^2+(y-9)^2=[/tex] 90
Determine f(2) where f(x) =X+1/4x-2
solve for x: 6 < 4x + 8 < 14
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:6 < 4x + 8 < 14[/tex]
[tex]\qquad \tt \dashrightarrow \:6 - 8 < 4x + 8 - 8 < 14 - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: - 2 < 4x < 6[/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 2}{4} < \dfrac{4x}{4} < \dfrac{6}{4} [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 1}{2} < {x}{} < \dfrac{3}{2} [/tex]
hope it helps ~
Does the point (3, 28) lie on the line y = 19 +3x
Answer:
Yes
Step-by-step explanation:
put point (3,28) in the above equation
28=19+3(3)
28=28
[tex]\LARGE{\text{please\:refer\:to\:the\:"explanation"\:section\:of\:this\:ans}}[/tex]
Calculations ↓
An easy way to check whether or not a point lies on a line is to plug in the x-coordinate in lieu of x and the y - coordinate in lieu of y As follows :
x - coordinate : 3
y=19+3(3)
y - coordinate : 28
28 = 19 + 9
28 = 28 [tex]\Large\checkmark[/tex]
LHS = RHS
Hence the point (3, 28) does lie on the line y = 19 + 3x[tex]\footnotesize{\text{hope\:helpful}}[/tex]
HELP PLS A circular hole has been drilled through a cylinder as shown. What is the approximate volume of the remaining solid? Use 3.14 for π
Answer:
The question has some missing details such as ; Use cylindrical shells to find the volume of the remaining solid if the remaining solid is 8cm high. I have however solved it using the value of 8cm, you can use the same approach to solve for the volume irrespective of the value of the height you are given.
Step-by-step explanation:
The detailed step by step analysis and appropriate Integration by susbtitution in order to get the volume of the remaining solid is as shown in the attached file.
Answer:
126
Step-by-step explanation:
[tex]V = A * h = \frac{1}{4} * \pi * d^{2} * h = A * h = \frac{1}{4} * 3.14 * 36 * 5 = 141.3\\ \\V_{empty} = A * h = \frac{1}{4} * \pi * d^{2} * h = \frac{1}{4} * \pi * 4 * 5 = 15.7[/tex]
[tex]V_{full} = V - V_{empty} = 141.3 - 15.7 = 125.6 \approx 126[/tex]
If a lost male child is found who is 145 cm tall, determine an interval of likely ages for the child.
Answer:
wrote in said they would not have children if they could make the choice again. is 166 cm tall really has a wrist circumference of 65 mm
Step-by-step explanation:
hope this helps!
8-10yrs
hope it helps...!!!
I need help on this ASAP so please help
Answer:
it’s 8 and 2 and 4 and 0
Step-by-step explanation:
this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer
Please solve with explanation
Answer:
[tex]\textsf{a)}\quad y=8x^2+2x-3[/tex]
[tex]\textsf{b)}\quad y=x^2-2x-4[/tex]
Step-by-step explanation:
Given information:
[tex]x^2+bx+c=0[/tex]
[tex]x_1+x_2=-b[/tex]
[tex]x_1x_2=c[/tex]
Part (a)
[tex]\textsf{If}\quad x_1=\dfrac12\quad\textsf{and}\quad x_2=-\dfrac34[/tex]
[tex]\begin{aligned}\implies -b & =\dfrac12+\left(-\dfrac34\right)\\ & = \dfrac24-\dfrac34\\ & =-\dfrac14\end{aligned}[/tex]
[tex]\begin{aligned}\implies c & =\dfrac12 \cdot \left(-\dfrac34\right)\\ & = \dfrac{1 (-3)}{2 \cdot 4}\\ & =-\dfrac38\end{aligned}[/tex]
Substituting the found values of b and c into [tex]x^2+bx+c=0[/tex]
[tex]\implies x^2+\dfrac14x-\dfrac38=0[/tex]
Multiply both sides by 8 so that coefficients are integers:
[tex]\implies 8x^2+2x-3=0[/tex]
Therefore, the final quadratic equation is:
[tex]y=8x^2+2x-3[/tex]
----------------------------------------------------------------------------------------------
Part (b)
[tex]\textsf{If}\quad x_1=1+\sqrt{5}\quad\textsf{and}\quad x_2=1-\sqrt{5}[/tex]
[tex]\begin{aligned}\implies -b & =(1+\sqrt{5})+(1-\sqrt{5})\\ & = 1+1+\sqrt{5}-\sqrt{5}\\ & =2\end{aligned}[/tex]
[tex]\begin{aligned}\implies c & =(1+\sqrt{5})(1-\sqrt{5})\\ & = 1-\sqrt{5}+\sqrt{5}-5\\ & =-4\end{aligned}[/tex]
Substituting the found values of b and c into [tex]x^2+bx+c=0[/tex]
[tex]\implies x^2-2x-4=0[/tex]
Therefore, the final quadratic equation is:
[tex]y=x^2-2x-4[/tex]
Tina and Rod are married, filing jointly. Their combined taxable income is $65,157. Every week, a total of $158 is withheld from their pay. Based on the table below, how much will Tina and Rod owe when their taxes are due? Show work.
Answer:
This is unsolvable without the graph. show me the graph and i can solve it
Step-by-step explanation:
The number of chips of different colors in Kathy's bag is shown below:
9 blue chips
5 pink chips
6 white chips
Kathy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag.
Part A--What is the probability that Kathy takes out a white chip in both draws? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.
Part B--Is this scenario an independent event or dependent event? Explain.
Part C--What is the probability that Kathy takes out a blue chip in the first draw, and then a pink chip in the second draw? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.
Part D--Is this scenario an independent event or dependent event? Explain
My sis needs help asap
Answer:
c. $750
Step-by-step explanation:
the perimeter is 80m
80÷8=10
10*75=750
Help me please!!!!!!!!!!!!!
Answer:
the answer is 90 degrees
Given the g(x)=x2-6x-16 which statement is true
Answer:
The zeros are -2 and 8, because the factors of g are (x+2) and (x-8).
Step-by-step explanation:
4) Look at this set of 5 numbers: 5 3 5 3 4
By how much would the mean increase if the number 8 replaced one of the 3's in the
set?
==========================================================
Explanation:
To compute the mean, we first add up the numbers
5+3+5+3+4 = 20
Then divide by 5 since there are 5 numbers in the set
20/5 = 4
The mean is 4.
---------------
Now replace one of the '3's with 8 and recompute the mean
5+8+5+3+4 = 25
25/5 = 5
The mean is now 5.
The old mean in the previous section was 4.
The mean has increased by 1 since 5-4 = 1.
Side note: The increase from 3 to 8 is +5, which when dividing by 5, we're basically incrementing the mean by +1.
Answer:
1
Step-by-step explanation:
Mean=Sum of terms/ No.of terms
→5+3+5+3+4/5
20/5=4
If we replace 3 as 8 in one of the place values, Then:5+3+5+8+4/5=25/5
→5
Increment= 5-4=1
THUS, 1 is increased.
THANKYOU
PLEASE MARK ME AS THE BRAINLIEST PLEASE BYE FOR NOW.
a) Find the value of 2x + y when x = 4 and y = 3
Answer:
11
Step-by-step explanation:
x = 4
2x
= 2 * 4
= 8
y = 3
2x + y
= 8 + 3
= 11
IF CORRECT ILL MARK BRAINLIEST!
USE THE NET TO FIND THE SURFACE AREA OF THE REGULAR PYRAMID
Answer:
275.63 mm^2
Step-by-step explanation:
The measurements of the pyramids are
Edge length: 10
Egde width: 8.66 (because 10x8.66/2 = 43.3)
Height: 9
To find the surface area, use this formula, and you will get 275.63:
pls answer what you can and I will give brainliest.
1. A population variance is used to calculate the t statistic for a hypothesis test.
(True/False)
2. Holding everything else constant, increasing the sample size (n) decreases estimated standard error (SM) and increases the likelihood of a significant result.
(True/False)
3. With = .01, a two-tailed t test for a sample of n = 20 subjects would have critical t boundary values of t = ±2.861
(True/False)
4. A sample of n = 15 scores would produce a t statistic of df = 16.
(True/False)
5. Using the single sample t statistic formula (M - divided by SM) for a hypothesis test: First, calculate the obtained t statistic for: M = 12, = 6, with SM = 2.
Second, find the critical t boundary values for the critical region in the t Distribution Table (p. 537).
Now, describe the decision regarding the null hypothesis for a two-tailed test with =.05 and df=8: _________.
(Reject Null Hypothesis/Fail to reject Null Hypothesis)
6. An independent-measures t test design could be used to evaluate the difference in verbal skills between 3-year old girls and 3-year old boys.
(True/False)
7. The null hypothesis for the independent-measures t test states that there is no difference between the two population means.
(True/False)
8. The homogeneity of variance assumption requires that the two samples have equal variances.
(True/False)
9. One sample has n = 6 and SS = 20, and a second sample has n = 6 and SS = 30. The pooled variance for the two samples is 50/10 = 5.
(True/False)
10. An independent-measures study uses a separate sample to represent each of the treatment conditions or populations being compared.
(True/False)
11. The goal of an independent measures research study is to evaluate mean differences between two populations (or treatment conditions).
(True/False)
12. For the difference scores: 3, -8, 6, -4, -2, the value of MD = -1.
(True/False)
13. A researcher obtains a t statistic of t = 2.00 from a repeated-measures study using n = 17 participants. If effect size is measured using r2, then r2 = 4/20 = 0.20
(True/False)
14. The repeated-measures t test design is suited to situations in which there are relatively few subjects available for study
(True/False)
15. The repeated-measures t test design is helpful because it uses fewer subjects for two samples.
(True/False)
16. The researcher’s goal for a repeated-measures t test is to use a sample of difference scores to answer questions about the general population, and particularly to find out if there is any difference between the two treatment conditions for the general population.
(True/False)
17. Independent observations are an assumption for the repeated-measures t test design.
(True/False)
18.
Two assumptions of the t test are: ________.
Assumption 1: ________
Assumption 2: ________
THANKS <3
Answer:
I believe the top one is true! I'm sorry I couldn't answer them all :c
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
take it again, it's so blur
A group of friends are canoeing along a river. They want to travel upstream 1.5 km, then travel back downstream back to their original starting point. The river has a current of 6km / h * r If the distance equation to find the time to travel upstream is time = and the equation to (velocitycurrenty distance travel downstream is time = ( velocity current) How fast should the canoe be traveling to complete the journey in 6 hours ? b. If the journey upstream ends up taking twice as long as the journey downstream, how fast did the canoe travel ?
Using the relation between velocity, distance and time, it is found that:
a) The canoe should be traveling at a rate of 37.5 km/h.b) The canoe traveled at a rate of 6.124 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Item a:
1.5 km in 6 hours, with a velocity of vc - 6, in which vc is the velocity of the canoe and 6 km/h is the velocity of the current, so:
[tex]vc - 6 = \frac{1.5}{6}[/tex]
vc - 36 = 1.5
vc = 37.5.
The canoe should be traveling at a rate of 37.5 km/h.
Item b:
Upstream, the velocity is given by vc - 6, as it is against the stream, hence:
[tex]vc - 6 = \frac{1.5}{2t}[/tex]
[tex]t(vc - 6) = \frac{1.5}{2}[/tex]
[tex]t = \frac{1.5}{2vc - 12}[/tex]
Downstream, we have that:
[tex]vc + 6 = \frac{1.5}{2(\frac{1.5}{2vc - 12})}[/tex]
[tex]vc + 6 = \frac{1.5}{vc - 6}[/tex]
[tex]vc^2 - 36 = 1.5[/tex]
[tex]vc = \sqrt{37.5}[/tex]
vc = 6.124.
The canoe traveled at a rate of 6.124 km/h.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
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Answer:
dfgd
Step-by-step explanation:
sdfg
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer:
3x+y=-2
Step-by-step explanation:
A parallel line has the same slope as y=-3x-6, so a slope of -e
This means that the coefficient of x has to be bigger than y, and since both x and y are on the left hand side, they both have to be positive.
Giving brainlest pls awnser quick
Answer:
problem 8= 769.3
problem 16=A
problem 11= independent-x , dependent-y
problem 12= independent- s , dependent- v
problem 17= C
What is the Vertex and Y-intercept of f(x)=3x^2-6x+4? Please show your work.
Answer:
(1;1) and (0;4)
Step-by-step explanation:
1) if given f(x)=3x²-6x+4 (where a=3; b=-6 and c=4), then
[tex]x_0=\frac{-b}{2a}; \ = > \ x_0=1;[/tex]
[tex]y_0=3*1-6*1+4=1;[/tex]
it means, the vertex has coordinates (1;1).
2) if according to the condition x=0, then
f(0)=0-0+4=4;
it means the Y-intercept is 4.
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Step 1: 2(y + 6) - 4y
Step 2: 2y + 8; 4y
Step 3: 2y : 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
02 should be distributed as 2y + 12, y = 6
should be distributed as 2y + 12; y = 3
The equation should be y + 6 4y after division by 2
D The equation should De
6 = 4y after division by 2; y = 1
Answer:
⇒ A. 2 should be distributed as 2y + 12, y = 6Step-by-step explanation:
Here are the steps to solve this equation:
Given:
First step: 2(y+6)-4y
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC2(y+6)
2*y=2y
2*6=12
2y+12
Isolate the term of y from one side of the equations.
2y+12=4y
Subtract by 12 from both sides.
2y+12-12=4y-12
Solve.
2y=4y-12
Then, you subtract by 4y from both sides.
2y-4y=4y-12-4y
Solve.
2y-4y=-2y
-2y=-12
Divide by -2 from both sides.
[tex]\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}[/tex]
Solve.
Divide the numbers from left to right.
Solutions:
-12/-2=6
[tex]\Longrightarrow: \boxed{\sf{y=6}}[/tex]
Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".I hope this helps. Let me know if you have any questions.
What is the volume of the following rectangular prism?
Step-by-step explanation:
green = surface area
volume = 9/5 × 2/3
= 18/15
= 6/5 = 1.2 or 1 1/5
Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
a) (-∞, -3] U (2,00)
b) [0,2) U (2,00)
c) [0,4) U (4,00)
d) (-∞o, 2) U (2,00)
e) None of the above
Answer:
E) None of the above
Step-by-step explanation:
Given [tex]f(x)=\sqrt{x}[/tex] and [tex]g(x)=x+2[/tex], then [tex]f(g(x))=\sqrt{x+2}[/tex]. This shifts the graph of the parent function [tex]f(x)=\sqrt{x}[/tex] 2 units to the left. Thus, the domain of the function is [tex][-2,\infty)[/tex], making none of the above true.
The domain of f(g(x)) is all real numbers x such that x ≥ -2.
Hence, Option e is correct.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, To find the domain of f(g(x)), we need to first determine the domain of g(x).
Since, g(x) is a polynomial function,
And, we know that it is defined for all real numbers.
Therefore, the domain of g(x) is (-∞, ∞).
Next, we need to find the domain of f(g(x)), which means we need to determine which values of x make g(x) a valid input for f(x).
Since, f(x) is defined only for non-negative real numbers, we need to ensure that g(x) is a non-negative real number.
Therefore, we set the inequality g(x) ≥ 0 and solve for x:
x + 2 ≥ 0
x ≥ -2
So, The domain of f(g(x)) is all real numbers x such that x ≥ -2.
Learn more about the function visit:
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How many minutes did it take for the fastest makeup artist to paints
Answer:
Joaquin Phoenix Has the Fastest Joker Makeup at Just 15 Minutes.
-5x-y= 8
-4x+y=2 solve the system
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
═════════════════════
1.[tex]- 5x - y = 8[/tex]
Solve for x[tex]-5x-y=8[/tex]
[tex]-5x=8+y [/tex]
[tex]-5x=y+8 [/tex]
[tex]\frac{-5x}{-5}=\frac{y+8}{-5} [/tex]
[tex]x=\frac{y+8}{-5} [/tex]
[tex]x=\frac{-y-8}{5} [/tex]
Solve for y[tex]-5x-y=8[/tex]
[tex]-y=8+5x [/tex]
[tex]-y=5x+8 [/tex]
[tex]\frac{-y}{-1}=\frac{5x+8}{-1} [/tex]
[tex]y=\frac{5x+8}{-1} [/tex]
[tex]y=-5x-8 [/tex]
────────────────────
2.[tex]-4x-y=2 [/tex]
Solve for x[tex]-4x-y=2 [/tex]
[tex]-4x=2+y [/tex]
[tex]-4x=y+2 [/tex]
[tex]\frac{-4x}{-4}=\frac{y+2}{-4} [/tex]
[tex]x=\frac{y+2}{-4} [/tex]
[tex]x=-\frac{y}{4}-\frac{1}{2} [/tex]
Solve for y[tex]-4x-y=2[/tex]
[tex]-y=2+4x [/tex]
[tex]-y=4x+2 [/tex]
[tex]\frac{-y}{-1}=\frac{4x+2}{-1} [/tex]
[tex]y=\frac{4x+2}{-1} [/tex]
[tex]y=-4x-2 [/tex]
════════════════════
Explanation:
#Carry on learning
Consider the following equation.
x + 5y = 10
Step 1 of 2: Determine the missing coordinate in the ordered pair (10, ?) so that it will satisfy the given equation.
Answer:
y = 0
Step-by-step explanation:
Plug 10 in for x, and solve for y.
10 + 5y = 10
5y = 0
y = 0
whats the mean, median, mode, range of 10, 11, 17, 14, 2, 13, 26
Answer:
Range :24
Mode: No mode
Median:13
Mean:46.5 OR 13.30
Help! 2a+2b=360
a) a = 60 degrees
b) a= 75 degrees
use algebra to solve for b
Answer:
2(60)+2b=360
120+2b=360
2b=360-120
2b/2=240/2
b=120
Evaluate 7a-5b when a=3 and b=4