Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of [tex]y -a = m(x -b)[/tex] where [tex](b,a)[/tex] is the coordinates of a point that's on the line and [tex]m[/tex] is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose [tex](-3,7)[/tex] where [tex]a = 7[/tex] and [tex]b = -3[/tex]
[tex]y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)[/tex]
The next thing we have to do now is finding the slope, [tex]m[/tex], where it's equal to [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\[/tex]. I'll make [tex](-3,7)[/tex] point 1 and [tex](3,3)[/tex] point 2.
[tex]m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}[/tex]
Now let's plug that to our equation.
[tex]y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)[/tex]
Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.
[tex]y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5[/tex]
Answer:[tex]y = -\frac{2}{3}x +5\\[/tex] is your equation.
I need help on this will give brainlist
Four times the sum of a number and -3 is 4 more than twice the number. Which equation below can be used to find the number
4(x - 3) = 2x + 4
3(x - 4) = 4 + 2x
4x - 3 = 2x +4
4x + -3 = 4 + 2x
Answer:
use bodmas and solve this
You find 1/6 of a case of
batteries. You to divide this
equally between 6 people. How
much of a case does each person
receive?
A mug of coffee cools down
1/2
of a degree in
1/5
of an hour. At what rate is the coffee cooling?
I need it now pleaseeee
Answer:
2 1/2
ggez
Step-by-step explanation:
Find the slope of a line graphed below
Answer:
Slope is 2/5x
Step-by-step explanation:
There is a meeting in Conference Room A.
The ratio of women to men is 3 to 4. If there
are 18 women at the meeting, how many men are there?
A) 21 men
B) 54 men
C) 24 men
D) 72 men
Answer:
I think 21 is it right ...
3. A savings account is started with an initial deposit of $3000. The account earns 9% interest compounded annually.
(a) Write an equation to represent the amount of money in the account as a function of time in years.
(b) Find the amount of time it takes for the account balance to reach 1 million. Show your work.
Note: 1 million is a 1 with 6 zeros. Note2: you must use log functions to solve.
Answer:
See below
Step-by-step explanation:
GivenDeposit = $3000Interest rate = 9% compoundedNumber of years = tNumber of compounds = 1 per year Solution(a) the equation
f(t) = 3000*(1.09)^t(b) If f(t) = 1000000
1000000 = 3000*(1.09)^t(1.09)^t = 1000000/3000(1.09)^t = 333.3333log (1.09)^t = log 333.3333t log 1.09 = 2.52290.03742t = 2.5229t = 2.5229/0.03742t = 67.4 ≈ 68 years6. If Stacey bought 48 ounces of grapes,
how many pounds did she buy? Shiw your work
A 2 pounds
© 4 pounds
B 3 pounds
D 6 pounds
Answer:
b
Step-by-step explanation:
which list shows the triangles in order from greatest area to least area
Answer:
H - Triangle Z, Triangle X, Triangle Y
Step-by-step explanation:
Triangle X area = rad(66.5) cm^3 ≈ 8.155cm^3
Triangle Y area = 8.15cm^3
Triangle Z area = (17.5/2)cm^3 = 8.75cm^3
8.75cm^3 > 8.155cm^3 > 8.15cm^3
Therefore:
Triangle Z area > Triangle X area > Triangle Y area
R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?
One important test for kidney disease involves measuring the levels of bicarbonate (HCO−3) in blood. Normal bicarbonate levels for a person ranging in age from 18 to 59 years old is 23–29 mmol/L. A lab purchased a new instrument to measure bicarbonate levels in blood and needs to certify it against their current instrument. The bicarbonate levels in the blood of a 38 year old woman was measured using the old and new instrument. The blood was tested 6 times using each instrument. The mean concentration of bicarbonate using the old instrument was found to be 24.6 mmol/L with a standard deviation of 1.56 mmol/L. The new instrument yielded a mean concentration of 25.9 mmol/L with a standard deviation of 0.54 mmol/L. Determine if there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95% confidence level. Determine the value of Fcalc.
Answer:
Yes there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%
[tex]F_{calc} = 8.3457[/tex]
Step-by-step explanation:
From the question we are told that
The normal bicarbonate level is k = 23-29 mmol/L
The number of times the blood was tested is n = 6
The mean concentration for old instrument is [tex]\= x_1 = 24.6\ mmol/L[/tex]
The standard deviation is [tex]\sigma_1 = 1.56\ mmol/L[/tex]
The mean concentration for the new instrument is [tex]\= x_2 = 25.9 mmol/L[/tex]
The standard deviation is [tex]\sigma_2 = 0.54 mmol/L[/tex]
The confidence level is 95%
The level of significance is mathematically represented as [tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]F_{calc} = \frac{\sigma_1 ^2}{\sigma_2^2}[/tex]
=> [tex]F_{calc} = \frac{1.56^2}{0.54^2}[/tex]
=> [tex]F_{calc} = 8.3457[/tex]
Generally the degree of freedom for the old instrument is is mathematically evaluated as
[tex]df = n -1[/tex]
=> [tex]df = 6 -1[/tex]
=> [tex]df = 5[/tex]
Generally the degree of freedom for the new instrument is is mathematically evaluated as
[tex]df_1 = n -1[/tex]
=> [tex]df_1 = 6 -1[/tex]
=> [tex]df_1 = 5[/tex]
For the f distribution table the critical value of [tex]\alpha[/tex] at df and [tex]df_1[/tex] is
[tex]F_{tab} =5.0503[/tex]
Generally given that the [tex]F_{calc} > F_{tab}[/tex] it means that there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%
The number of measles cases increased 44.4% to 95 cases this year. What was the number of cases prior to the increase
Answer:
65.97 cases
or approx. 66 case
Step-by-step explanation:
Solve the system of equations by the substitution method.
5x + 10y = 25
2x + 12y = 18
Answer
5x + 10y = 25 x=1 y=2
2x + 12y = 18 x=3 y=1
plz mark brainliest
also plz try to answer this question
can you please help me solve this 1/3(x+6)=1/2(x-3)
Answer:
The answer is X=21
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 1/3 and 1/2
It would look like [tex]\frac{(x+6)}{3} -\frac{(x-3)}{2}[/tex]
then[tex]\frac{21-x}{6}=0[/tex]
then mutiply 6 to each side and it will look like 21-x = 0
Last, subtract 21 from each side and it will be
21=x
One difference between obtaining a car with a lease or a loan is that _____.
a. a loan will not have any additional fees or payments that need to be considered while a lease comes with a handful of additional charges
b. a lease will not have any additional fees or payments that need to be considered while a loan comes with a handful of additional charges
c. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
d. a loan finances the depreciated value of the car with related fees while a lease finances the total purchase price of the car
THE ANSWER IS: C. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
Answer:
C. A loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
Step-by-step explanation:
He legit said it. (Just writing this for those who are blind)
One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.
What is the difference between a Loan and a Lease?A loan is suitable for a property that you wish to possess at the maturity date, i.e. anything with long-term worth.
On the other hand, a lease is ideal for items that deteriorate gradually and will not retain their worth beyond the period.
The most significant contrast between a lease and a loan is the manner in which the finance costs are paid.The interest on a loan is amortized throughout the period. i.e. your consumer pays more interest at the start and more principal in the end.
Although leasing is not free, the financing charges are predetermined all through the period and are not deducted from the borrowed amount.
From the information given:
One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.
Learn more about Loan and lease here:
https://brainly.com/question/24460932
Find the rate of change.
Answer:
2
Step-by-step explanation:
Because it goes up 1 and a half and over 1 which equals 2?
if a man walks 16 km in 5 hours, how long would he take to walk 11.2km
Answer:
Time taken to walk 16 km =5hrs
Time taken to walk 1km =5/16 hr
Time taken to walk 11.2km =(5/16)×(112/10) = 3.5hrs
HOPE IT WILL HELP U..
PLZ MARK IT AS BRAINLIEST ANSWER..
A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
wide. Find the length and width of the garden.
What is the factored form of 5x − 625x4?
Answer:
I think it's 5 I think
Step-by-step explanation:
hopefully I helped
Answer:
I think it's 5
Step-by-step explanation:
-2^2= 4 or -4??
i will give brainly
Answer:
4
Step-by-step explanation:
I am assuming you mean (-2)^2 and not -(2)^2, correct.
If i m wrong in the assumption and its the latter one, then it is -4 since you are taking the - of 4
Answer:
-4Step-by-step explanation:
[tex]-2^2=-4\ \text{because}\ -2^2=-(2\cdot2)=-4\\\\(-2)^2=4\ \text{because}\ (-2)^2=(-2)(-2)=4[/tex]
The parentheses are very important here.
The same in
[tex]\dfrac{2}{3}^2=\dfrac{4}{3}\\\\\left(\dfrac{2}{3}\right)^2=\dfrac{4}{9}[/tex]
You move right 2 units and left 10 units. You end at (-5, -1). Where did you start?
Answer:
(-13,-1)
Step-by-step explanation:
Moving right means moving positively on the x-axis
Moving left means moving negatively on the x-axis
Follow the equation backwards using the x-coordinate:
Move left 10 units-- -5-10 = -15
Move right 2 units-- -15+2 = -13
Since the y-coordinate did not change, the point you started at is (-13,-1)
. Where does the line y = 3x + 5 cross the y-axis?
Answer: at 5
Step-by-step explanation: the 3 is the slope and the 5 is the y intercept. The y-intercept corresponds to the value of 5 when the x value is equal to 0
Based on what we know about the formula of a straight line, the line above would cross the y-axis at 5.
The formula for a straight line takes the form:
y = mx + c
m = Gradient
c = y-intercept
The line described takes the form of y = 3x + 5.
5 is therefore c in the formula of a straight line so we can infer that it is the point where the y-axis is crossed.
In conclusion, the y-axis is crossed at 5.
Find out more at https://brainly.com/question/8499326.
Solve the equation for all values of x in simplest form (x + 3)^2 = -16
Answer:
x = -7 or x = 1
Step-by-step explanation:
Given expression:
(x + 3)² = -16
Problem;
Solve for x;
Solution:
To solve for x; we use the factorization method;
Take -16 to the left of the equation;
(x + 3)² = -16
(x + 3)² + 16 = 0
(x+ 3)² + 4² = 0
if x² + y² = (x + y)(x - y)
So;
(x + 3 + 4) (x + 3 - 4) = 0
(x + 7)(x - 1) = 0
x + 7 = 0 or x - 1 = 0
x = -7 or x = 1
What is the answer to 6.59+(-7.8)-(2.41)=
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.
Please hurry I need this answer ASAP
Answer:
The correct alternatives
This is a subtraction expression
The correct expression is n minus 31
To evaluate the expression, subtract 31 from 29.
Step-by-step explanation:
Rafael writes an expression to represent “a number, n, decreased by thirty-one.”
First you gotta know what means "decreased by thirty-one". It means that
there exist two numbers where the difference between them is 31.
The number [tex]n[/tex] decreased by 31 can be writen as
[tex]n-31[/tex]
The expression is therefore
[tex]n-x=31 \implies \boxed{x=n-31}, n, m \in \mathbb{R}[/tex]
Rafael evaluates the expression [tex](n-31)[/tex] for [tex]n=29[/tex]
[tex]n-31 = 29-31 = -2[/tex]
Answer:
A. B. G. H
Step-by-step explanation:
I need help on this one please
Answer:
it is D
Step-by-step explanation:
just reflect by y=-1 its easy
Find the Measure of the missing angles.
3
2
49°
118°
1
73°
Measure angle 1 =
o
Measure angle 2=
o
Measure angle 3=
Answer:
m∠1 = 62°
m∠2 = 45°
m∠3 = 24°
Step-by-step explanation:
The measure of the exterior angle of a triangle is equal to the sum of the remote interior angles.
The measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.
From the given figure, measure of angles are 118°, 73° and 49°.
What is exterior angle theorem?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the given figure, 118° + ∠1 = 180°
⇒ ∠1 = 180° - 118°
⇒ ∠1 = 62°
Now, 118° = 73° + ∠2
⇒ ∠2 = 118° - 73°
⇒ ∠2 = 45°
Using angle sum property of a triangle
62° + 49° + (∠2+∠3) = 180°
⇒ 111° + (∠2+∠3) = 180°
⇒ (∠2+∠3) = 180°- 111°
⇒ (∠2+∠3) = 69°
⇒ 45° +∠3 = 69°
⇒ ∠3 = 24°
Therefore, the measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.
To learn more about the exterior angle theorem visit:
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Triangle ABC has vertices (−,),(,−), (−,−). What are the coordinates of the vertices of △′′′ for each reflection?
Suppose that you are interested in estimating the average impact a job training program has on wages. After controlling for observed factors that influence wages, participation in the training program, you find that the coefficient for the training is 0.55 and the standard error is 1.06. Thus, we can infer that the training program has a positive and statistically significant impact on wages at a 95% confidence level.
a) true
b) false
Answer:
False
Step-by-step explanation:
From the question we are told that
The coefficient for the training is [tex]r = 0.55[/tex]
The standard error is [tex]SE = 1.06[/tex]
The confidence level is 95%
Generally the level of significant is mathematically represented as
[tex]\alpha =( 100 -95)\%[/tex]
=> [tex]\alpha = 0.05 [/tex]
Generally the critical value of [tex]\alpha = 0.05 [/tex] obtained from the normal distribution table is [tex]Z_{0.05} = 1.645[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{r }{SE}[/tex]
=> [tex]t = \frac{0.55}{1.06}[/tex]
=> [tex]t = 0.5189 [/tex]
Generally given that the [tex]t < Z_{\alpha }[/tex]
Hence there is no sufficient evidence to conclude that the program has a positive and statistically significant impact on wages at a 95% confidence level.
So the answer is False
what is the ratio of white cirlces to blue cirlces?
Im guessing the ratio for a cirlce could be 1/2 or more
uplod the pic so i can solve the problem
