Answer:
y = -(4/5)x + 7
Step-by-step explanation:
recall that the point-slope form of a linear equation is given as
y - y₁ = m (x - x₁)
in our case, we are given
slope, m = -4/5
and a point (x₁, y₁) = (5,3)
hence we simply substitute these values into the equation
y - y₁ = m (x - x₁)
y - 3 = -(4/5) (x - 5) (we will simplify this to convert to slope-intercept form)
y - 3 = -(4/5) (x) - (-4/5)(5)
y - 3 = -(4/5)x +4 (add 3 to both sides)
y = -(4/5)x +4 +3
y = -(4/5)x + 7
Robert surveyed 300 of the students in his school about their favorite color. 70% said their favorite color was blue. How many students' favorite color was blue?
Answer:
210
Step-by-step explanation:
We can get 10% of 300 by doing 300 / 10 which is 30. 70 / 10 is 7, so we need 7 lots of 10% to work out 70%. Therefore, 30 * 7 students said that their favourite colour was blue, which is 210.
Answer:
210
Step-by-step explanation:
So 70% OF 300 students said their favorite color was blue
OF means multiply and 70% is equal to .70 so,
.70 x 300 = the number of students that said their favorite color was blue
=210
So, the number of students that said their favorite color was blue is 210 students. :)
Is the square root of 21 a rational number
Answer:
No
Step-by-step explanation:
But as we've stated, these prime factorizations are unique, so this can't be right. Therefore 21≠a2 , so a≠√21 , meaning that our earlier assumption of √21 being rational turns out to be wrong, therefore √21 is irrational.
Please help ive been stuck on this question all weekend long !!
Answer:
The answer is 57.
Step-by-step explanation:
You have to substitute w = 2 into the expression :
[tex]8 {w}^{2} + 8w + 9[/tex]
[tex]let \: w = 2[/tex]
[tex]8 {(2)}^{2} + 8(2) + 9[/tex]
[tex] = 32 + 16 + 9[/tex]
[tex] = 57[/tex]
Answer:
57
Step-by-step explanation:
[tex]8*2^{2}+8*2+9\\8*4+16+9\\32+16+9\\48+9\\57[/tex]
Jonathon has 3/4 pound of grapes. How many 1/8 pound servings can Jonathon make from his grapes? Do not include units. *
Answer:
This would be 6 of 1/8 pound of serving
Answer:
6 out of 1/8
Step-by-step explanation:
Question 6 (0.5 points)
Find the midpoint of the line segment with endpoints (9, -8) and (-6, -3)
0 (0.5, -4.5)
(1.5.-5.5)
0 (7.5, -2,5)
O(-21, 2)
Question 710 5 noints)
Answer:
Step-by-step explanation:
(9-6)/2 = 3/2 = 1.5
(-8-3)/2 = -11/2 = -5.5
(1.5, -5,5)
E = (x + 3)(x + 2)(x + 1) + (x + 2)(x + 1) + (x + 1)
Answer:
U need to copy and paste more of the question
Step-by-step explanation:
Start copy at the top go all the way to the bottem of the question and paste into brainly.
use ctrl c for copy and crtl v for paste
What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction?
Answer:
-9/14
Step-by-step explanation:
product of Three-fourths and Negative StartFraction 6 over 7 EndFraction
[tex] = \frac{3}{4} \times \bigg( - \frac{6}{7} \bigg) \\ \\ = \frac{3 \times ( - 6)}{4 \times 7} \\ \\ = - \frac{18}{28} \\ \\ = - \frac{9}{14} \\ [/tex]
Answer:
-9/14 so the answer is B
Step-by-step explanation:
Hope this helps
really need this, it will help alottt
Answer:
[tex]\huge\boxed{m = \frac{y-b}{x}}[/tex]
Step-by-step explanation:
In order to solve for [tex]y=mx+b[/tex] and we want to solve for [tex]m[/tex], we want to get m on one side of the equation.
[tex]y = mx+b[/tex]
Let’s subtract b from both sides.
[tex]y - b = mx[/tex]
Now we can divide both sides by x so we have m on one side of the equation.
[tex]\frac{y-b}{x} = m[/tex]
Hope this helped!
Sickle-cell disease is a painful disorder of the red blood cells that in the United States affects mostly African-Americans. To investigate whether the drug hydroxyurea can reduce the pain associated with sickle-cell disease, a study by the National Institutes of Health gave the drug to 150 sickle-cell sufferers and a placebo to another 150. The researchers then counted the number of episodes of pain reported by each subject. What is the response variable in this study
Answer:
The response variable is the episodes of pain reported
Step-by-step explanation:
A response variable, also known as the dependent variable or explanatory variable, is the variable that is not under the direct control of the researcher, but whose value varies with the changing of the independent variable. The response variable is the focus of the experimental question.
In this example, the effect of the drug hydroxyurea is to be tested on sickle-cell patients, hence the drug used is the independent variable, because the experimenter can choose to give the subjects either hydroxyurea or a placebo, hence it is under the direct control of the experimenter. However, the result ( differences in episodes of pain) is a response to the administered drug or placebo.
Which pair of angles are complementary but not adjacent?
Answer:
1 and 3
Step-by-step explanation:
because 5 and 3 have the same value and since 5 and 1 add up to 90 degrees, 3 and 1 must also add up to 90 degree
Angles ∠1 and ∠3 are complementary but not adjacent.
Complementary angles are two angles that add up to 90 degrees.
Adjacent angles are two angles that share a common vertex and a common side.
In the image, angles ∠1 and ∠3 share a common vertex, but they do not share a common side. They are also not adjacent to each other, as there is an angle in between them (angle ∠4).
The measure of angle ∠1 is 48 degrees. The measure of angle ∠3 is 42 degrees. Therefore, angles ∠1 and ∠3 add up to 90 degrees, making them complementary angles.
To learn more about pair of angles, here
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Which of the following square roots is a rational number?
Your answer:
T
75
12
18
Answer and Step-by-step explanation:
None of the square roots shown, 75, 12, 18 are rational.
Answer:
square root of 1. the answer is A.
75, 12, 18 square roots are not rational
Find the unique solution to the following linear system X = (0 -1 2 3)X + (e' -e')
X(0)=(5 4)
It looks like the system is supposed to be
[tex]\mathbf x'=\begin{bmatrix}0&-1\\2&3\end{bmatrix}\mathbf x+\begin{bmatrix}e^t\\e^{-t}\end{bmatrix}[/tex]
with the initial condition, [tex]\mathbf x(0)=\begin{bmatrix}5&4\end{bmatrix}^\top[/tex].
Compute the eigensystem for the coefficient matrix:
[tex]\begin{vmatrix}-\lambda&-1\\2&3-\lambda\end{vmatrix}=\lambda^2-3\lambda+2=(\lambda-1)(\lambda-2)=0[/tex]
[tex]\lambda_1=1\implies\begin{bmatrix}-1&-1\\2&2\end{vmatrix}\mathbf v_1=\mathbf 0\implies\mathbf v_1=\begin{bmatrix}1\\-1\end{bmatrix}[/tex]
[tex]\lambda=2\implies\begin{bmatrix}-2&-2\\2&1\end{bmatrix}\mathbf v_2=\mathbf 0\implies\mathbf v_2=\begin{bmatrix}1\\-2\end{bmatrix}[/tex]
So we have the characteristic solution,
[tex]\mathbf x_c=C_1e^{\lambda_1t}\mathbf v_1+C_2e^{\lambda_2t}\mathbf v_2[/tex]
[tex]\mathbf x_c=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}[/tex]
For the non-homogeneous part, we can guess a particular solution of the form
[tex]\mathbf x_p=te^t\begin{bmatrix}a\\b\end{bmatrix}[/tex]
(We might have started with [tex]e^t[/tex] instead, but that is already accounted for in the first characteristic solution.)
Its derivative is
[tex]{\mathbf x_p}'=e^t\begin{bmatrix}a\\b\end{bmatrix}+te^t\begin{bmatrix}a\\b\end{bmatrix}=e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}[/tex]
Substitute [tex]\mathbf x_p[/tex] into the system and solve for [tex]a,b[/tex]:
[tex]e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}=te^t\begin{bmatrix}0&-1\\2&3\end{bmatrix}\begin{bmatrix}a\\b\end{bmatrix}+e^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]
[tex]\begin{bmatrix}at+a\\bt+b\end{bmatrix}=\begin{bmatrix}-bt+1\\(2a+3b)t-1\end{bmatrix}[/tex]
[tex]\implies a=1,b=-1[/tex]
and so the particular solution is
[tex]\mathbf x_p=te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]
The general solution to the system is then
[tex]\mathbf x=\mathbf x_c+\mathbf x_p[/tex]
[tex]\mathbf x=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]
Use the given initial conditions to solve for the remaining coefficients.
[tex]\mathbf x(0)=\begin{bmatrix}5\\4\end{bmatrix}[/tex]
[tex]\implies\begin{bmatrix}5\\4\end{bmatrix}=C_1\begin{bmatrix}1\\-1\end{bmatrix}+C_2\begin{bmatrix}1\\-2\end{bmatrix}[/tex]
[tex]\implies C_1=14,C_2=-9[/tex]
Then the solution to the initial value problem is
[tex]\mathbf x=14e^t\begin{bmatrix}1\\-1\end{bmatrix}-9e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]
[tex]\mathbf x=\begin{bmatrix}14e^t-9e^{2t}+te^t\\-14e^t-18e^{2t}-te^t\end{bmatrix}[/tex]
How many three-digit numbers are multiples of neither 5 nor 7?
Answer:
590Step-by-step explanation:
Total 3-digit numbers 100 to 999
999 - 99 = 9003 digit multiples of 5; 100 to 995
smallest one 100 = 5*20greatest one 995 = 199*5number 199 - 4 = 1953 digit multiples of 7:
smallest one 105/7 = 15greatest one 994/7 = 142number 142 - 14 = 128Total multiples of either 5 or 7 :
195 + 128 = 323This number includes multiples of both 5 and 7
We need to exclude half of the multiples of 5*7= 35 as they are counted twice:
smallest one 105 = 35*3greatest one 980 = 28*35number 28 - 2 = 26Half of this is 26/13 = 13
323 - 13 = 310The difference of 900 and 310 is the answer:
900 - 310 = 590A rectangular piece of paper has an area of 119 square Inches and a perimeter of 48 inches What are the dimensions of the paper?
Answer:
17in by 7in
Step-by-step explanation:
17x7=119
17+17+7+7=48
Triangle ABC has coordinates A(-2,0), B(0,2) and C(-4, 3). It is reflected across the line y = 2/5x - 2. About where is B’ located? What is the equation of the line that joins CC’? (2 points)
Answer:
B' is at (2.76,-4.9)
Equation of CC' is 11.38x+4.55y= -31.86
or at its slope-intercept form:
y= (-11.38x - 31.86)/4.55
Step-by-step explanation:
what is the answer for 7.42 ÷ 1.75 = ______
Answer:
4.24
Step-by-step explanation:
On a map scale, 2 inches represents 60 miles. Which graph best shows the relationship
between x, the number of inches on the map, and y, the actual distance in miles?
Answer:
c best shows the best relationship
Pentagon ABCDE was enlarged:
What is the ratio of enlargement to the original? Convert the ratio to a percent.
Answer/Step-by-step explanation:
The ratio of the enlargement to the original = A'E' to AE = A'E':AE = A'E'/AE
AE = 2.5
A'E' = 4
Ratio of the enlargement to the original = 4:2.5 = 1.6:1
To convert to percentage, divide 4 by 2.5 and multiply by 100.
[tex] = \frac{4}{2.5}*100 [/tex]
[tex] = 1.6*100 [/tex]
[tex] = 160 percent [/tex]
What is the value of X in the equation -3 over four equals X over 24
Answer:
I think it's -18
Step-by-step explanation:
24 divided by 4 is 6. what you do to one has to be done to the other. so -3 times 6 equals -18.
Answer: -18
Step-by-step explanation:
Enteroliths are calcifications that form in the gut of horses. The stones can cause considerable morbidity and mortality. A study was conducted to investigate factors (such as diet and environment) that may be related to the formation of enteroliths. Housing is a variable that is coded " 11 " for horses that live in a stall, " 22 " for horses that have access to a small paddock, " 33 " for horses that have a large paddock, " 44 " for horses that live in pasture, and " 55 " for other housing. Housing is a:
Answer:
Housing is a categorical variable
Step-by-step explanation:
Housing. i.e where the horses stay. have an effect on the investigative factors ( diet and environment )that the horses will be exposed to
Housing is a categorical variable because it has more than one categories ( stall, small paddock, large paddock , pasture ) attached to it without any form of intrinsic ordering attached to it
help to solve -7 - 3a = 1 - 4a
Answer:
-7 - 3a = 1 – 4a
Step one: Add 4a to -3a
-7 + a = 1
Step two: Add 7 to 1
A = 8
You're done! A=8 for this problem!
Hopefully this helps! Feel free to mark brainliest!
Answer:
[tex]a =8[/tex]
Step-by-step explanation:
[tex]-7 - 3a = 1 - 4a[/tex]
add [tex]3a[/tex] to both sides
[tex]-7 - 3a + 3a = 1 -4a + 3a \\-7 = 1 -a[/tex]
add [tex]-1[/tex] to both sides
[tex]-7 - 1 = 1 - a -1\\-8 = -a[/tex]
multiply both sides by [tex]-1[/tex]
[tex]-8 * (-1) = -a * (-1) \\8 = a[/tex]
The table shows the number of tickets sold and the profit made at a fundraiser.
Tickets Sold
Profit
2
$18
4
$36
6
$54
8
$72
Which describes the relationship between the number of tickets sold and the profit?
Answer:
This is pretty simple, it tells you that two tickets are worth $18, to figure out how much one would cost you just divide 18/2 and that would equal $9. So Your answer would be Each ticket sold yields $9 of profit.
Here, Let, Number of Ticket = x
Sold profit = y
Then, relation would be: 18/2 = 9
y = 9x
In short, Your Answer would be Option B) "Each ticket sold yields $9 of profit"
Hope this helps!
Answer:
its B: Each ticket sold yields $9 of profit.
Step-by-step explanation:
Rhonda had $300 to buy supplies for the animal shelter. She bought 8 bags of dog food and 11 leashes. Each bag of food cost $25.19, and each leash cost $4.65.
How much money did Rhonda have left after her purchases?
A. $11.65
B. $14.29
C. $22.91
D. $47.33
Answer:
47.33
Step-by-step explanation:
Hey there! I'm happy to help!
We have 8 bags of dog food and each costs $25.19
8(25.19)=201.52
And we have 11 leashes each costing $4.65.
11(4.65)=51.15
We add these totals up.
201.52+51.15=252.67
We subtract this from 300 to see how much is left.
300-252.67=47.33
Rhonda had $47.33 left after her purchases.
Have a wonderful day! :D
Answer:
d
Step-by-step explanation:
In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom for the critical value of the fare is:___________.
A. 14 and 255
B. 255 and 14
C. 13 and 240
D. 14 and 240
Answer:
C; 13 and 240
Step-by-step explanation:
Here in this question, we are to give the numerator and the denominator degrees of freedom.
Mathematically;
the numerator degrees of freedom = number of variables - 1 = 14 -1 = 13
The numerator degrees of freedom = number of observations- numerator degrees of freedom - 1
= 255 - 14-1 = 255-15 = 240
The critical value of the fare is options c. 13 and 240.
Calculation of the critical value:Since the numerator degrees of freedom should be
= number of variables - 1
= 14 -1
= 13
Now
The numerator degrees of freedom should be
= number of observations- numerator degrees of freedom - 1
= 255 - 14-1
= 255-15
= 240
Therefore, the correct option is c.
learn more about denominator here: https://brainly.com/question/17681702
The ratio of girls to boys in the sixth grade is 7:5. If there are 35 girls in the sixth grade , how many boys are there?
Answer:
25 boys
Step-by-step explanation:
girls to boys
7:5
35:x
set up an equation
if
35/7 = 5
then
x/5 = 5
so, multiply both sides by 5 to isolate x.
x = 25
Suppose a couple has two children, and you know that at least one is a boy. If the probabilities of having a boy or a girl are both 0.5 for any birth, what is the probability that the couple has two boys in this situation? When calculating this conditional probability, you may want to think of the ordered sample space for two kids as S = {bb, bg, gb, gg} . We can assume that births are independent events.
Answer:
The probability of having two boys = 25%
Step-by-step explanation:
The ordered sample space for two kids is given as S = {bb, bg, gb, gg},
where bb = two boys, bg = a boy and a girl, gb = a girl and a boy, and gg = two girls, in that particular order.
bb occurs 1/4 times
and 1/4 = 0.25 or 25%
Calculating the probability of having two boys is given as the probability of having a boy multiplied by the probability of having a boy
= 0.5 x 0.5
= 0.25
= 25%
This agrees with the ordered sample space given above.
solve for X: 5X +2 = 4X -9
Answer:5X+2=4X-9\quad :\quad X=-11
Step-by-step explanation:
5X+2=4X-9
5X+2-2=4X-9-2
5X=4X-11
5X-4X=4X-11-4X
X=-11
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: \: X \: = - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5 \: X + 2 = 4 \: X - 9}[/tex]
Move 4 X to left hand side and change it's sign
Similarly, move 2 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{5 \: X - 4 \: X = - 9 - 2}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{X = - 9 - 2}}[/tex]
The negative and positive integers are always subtracted but posses the sign of the bigger integer
[tex] \longrightarrow{ \sf{X = - 11}}[/tex]
Hope I helped!
Best regards! :D
8.176 divied by 0.56
Answer:
14.6
Step-by-step explanation:
Answer to this is 14.6.
Answer:
14.6 is the answer
Step-by-step explanation:
8.176/0.56 = 14.6
What is the median of the following data set? 24, 18, 32, 48, 90
Answer: 32
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
So let's write our data set from least to greatest.
18, 24, 32, 48, 90
So the median is the middle number or 32.
Answer:
The median is 32.
Step-by-step explanation: To find the median:
Step 1: Put all the numbers in order from least to greatest.
Step 2: Cross out the other numbers until you get to the middle.
Step 3: Once you cross out all the numbers evenly, the only number remaining is 32.
Hope this helps!
Given F(x)=x-7 and g(x)=x squared find g(f(4))
Answer:
g(f(4)) = -3
Step-by-step explanation:
f(x)=x-7
g(x) = x
g(f(4))
f(4) = 4-7
f(4) = -3
g(-3) = -3
