first off, let's solve the "given" line for "y", that way we can put it in slope-intercept form to see what its slope might be.
[tex]\bf 10x+2y=-2\implies 2y=-10x-2\implies y=\cfrac{-10x-2}{2} \\\\\\ y=\cfrac{-10x}{2}-\cfrac{2}{2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well, a parallel line to that one, will have the same exact slope, so then, we're really looking for the equation of a line whose slope is -5 and runs through (0 , 12)
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{12})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-12=-5(x-0) \\\\\\ y-12=-5x\implies y=-5x+12[/tex]
How much would all the blouses cost?
Answer:
$392
Step-by-step explanation:
We are buying 16 blouses. Each one costs 24.50
16*24.50 =392
The total cost of the 16 blouses is $392
Answer:
$392.00 all together
Step-by-step explanation:
$24.50 times 16
Hope This Helps! Have A Nice Day!!
the combined area of two squares is 45 square cm. each side one square is twice as long as a side of the other Square. what is the length of each side of the larger square
Answer: it is 45cm^2
Step-by-step explanation:
it is because it is
Sierra listened to her playlist for 10 minutes. She listened to 3 songs. The first song lasted 192 seconds, and the second song lasted 231 seconds. How long was the third song?
Answer:
177 Seconds
Step-by-step explanation:
192 + 231 =423
10 minutes is equal to 600 seconds because there are 60 seconds in every minute.
600 - 423 = 177
Final answer:
Sierra listened to a total of 600 seconds of music. After subtracting the length of the first two songs (192 seconds + 231 seconds = 423 seconds), we find the third song was 177 seconds long.
Explanation:
Sierra listened to her playlist for 10 minutes, or 600 seconds, as there are 60 seconds in a minute. She listened to 3 songs where the first song lasted 192 seconds and the second song lasted 231 seconds. To find out how long the third song was, we need to subtract the length of the first two songs from the total listening time.
The total length of the first two songs is 192 seconds + 231 seconds = 423 seconds.
So, the length of the third song is 600 seconds - 423 seconds = 177 seconds, which means the third song lasted for 177 seconds.
4x - 3y = -12
What is the slope and x and y intercepts
Slope: 4/3
x-intercept: (-3,0)
y-intercept: (0,4)
slope: 3/4
y intercept: 4
I'm not sure what the x intercept is. Hope this can help!
Solve this with your work shown. (50 POINTS.)
top problems:
1-) x²-2x-8
(x-4)(x+2)---------------------
2-) 4s²-4s+1
(2s-1)²---------------------
3-) 6x²-3-7x
(2x-3)(3x+1)---------------------
4-) 4u²+8u
4u(u+2)---------------------
5-) t²-15
2t---------------------
6-) 3x²-x-4
(3x-4)(x+1)bottom problems:
1-) [tex]\frac{1}{4},-1[/tex]
y=x²+[tex]\frac{3x}{4}-\frac{1}{4}[/tex]
---------------------
2-)[tex]\sqrt{2},\frac{1}{3}[/tex]
y=x²-[tex]\frac{x}{3}-\sqrt{2}x+\frac{\sqrt{2} }{3}[/tex]---------------------
3-) 0, √5
y=x²-x√5---------------------
4-) 1,1
y= x²-2x+1---------------------
5-)[tex]-\frac{1}{4}, \frac{1}{4}[/tex]
y=x²-[tex]\frac{1}{16}[/tex]---------------------
6-) 4,1
y=x²-5x+4Step-by-step explanation:
1) x²- 2x - 8
= x² - 4x + 2x - 8
= ( x - 4 )(x-2)
2) 4s² - 4s +1
= (2s)² - 2*2*s + 1²
= ( 2s + 1)²
In similar way you can factor out the other expressions .
Chris is making a tabletop. He has 9 tiles that are each 3 1/8 long by 2 3/4 inches wide.
What is the area of all the tiles
A school is arranging a field trip to the zoo. The school spends 654.36 dollars on passes for 34 students and 4 teachers. The school also spends 303.96 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
The school spent approximately $26.16 per student for a zoo pass and lunch during their field trip.
Explanation:The total amount spent on passes for the 34 students and 4 teachers is $654.36. The total amount spent on lunch for just the students is $303.96. It means for each student, the school spent a combined amount on passes and lunch. To find this, first, we need to identify how much was spent per student for the pass, then add this to the amount spent per student on lunch.
First, we calculate the cost of a pass for each student. Since the total cost of passes is for both students and teachers, we need to find only the cost for the students. We accomplish this by subtracting the teachers’ share. It assumes the cost of a pass for a student and a teacher is the same.
The cost per person (student or teacher) for the pass is: $654.36 / (34 students + 4 teachers) = $654.36 / 38 = $17.22 (approximately, rounding to the nearest penny).
To determine the cost per student for lunch, we just need to divide the total lunch cost by the number of students: $303.96 / 34 = $8.94 (approximately).
In the end, the total cost per student for both the pass and lunch is: $17.22 + $8.94 = $26.16
Therefore, the school spent approximately $26.16 per student for a zoo pass and lunch.
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The school spent approximately $17.22 on passes and $8.94 on lunch for each student.
Now, let's plug in the values and calculate:
Step 1:
Total spent on passes = $654.36
Step 2:
Amount spent on passes for teachers = 4 * (Amount spent on each teacher's pass)
To find the amount spent on each teacher's pass, divide the total spent on passes by the total number of passes.
Step 3:
Calculate the amount spent on passes for students.
Number of students = 34
Number of teachers = 4
Total number of passes = 34 + 4 = 38
Amount spent on each pass = Total spent on passes / Total number of passes
[tex]\[Amount\ spent\ on\ each\ pass = \frac{654.36}{38}[/tex] ≈ 17.22
Step 4:
Find the total amount spent on lunch for students.
Total spent on lunch for students = $303.96
Step 5:
Calculate the amount spent on lunch for each student.
[tex]\[Amount\ spent\ on\ lunch\ for\ each\ student[/tex] = [tex]\frac{303.96}{34}[/tex] ≈ 8.94
So, the school spent approximately $17.22 on passes and $8.94 on lunch for each student.
Well i forgot so i need help
[tex]2\pi r\\2\pi23\\144.51[/tex]
Answer: 46 in tall for the circle
Which number line shows the solution set for |s/2+4| < 2
Solution set: s ∈ (-4, -12). The first option shows the correct number line.
Let's find the number line that shows the solution set for the inequality:
[tex]\left|\frac{s}{2}+4\right| < 2[/tex]
We can solve the inequality by splitting it into two cases, one positive and one negative, and then solving each case separately.
Steps to solve:
1. Split the inequality into two cases:
[tex]\frac{s+8}{2} < 2[/tex]
[tex]-\frac{s+8}{2} < 2[/tex]
2. Solve the first case:
[tex]2 \cdot \frac{s+8}{2} < 2 \cdot 2[/tex]
s + 8 < 2⋅2
s + 8 < 4
s < −4
3. Solve the second case:
[tex]2 \cdot \frac{-(s+8)}{2} < 2 \cdot 2[/tex]
−(s + 8) < 2⋅2
−s − 8 < 2⋅2
−s − 8 < 4
−s < 12
[tex]\frac{-s}{-1} > \frac{12}{-1}[/tex]
s > −12
4. Combine the solutions from both cases:
s < −4 or s > −12
The number line that shows the solution set for the inequality is the one with the shaded regions between −4 and −12.
What is the discriminant of 9x^2+2=10x^2
Answer:
8
Step-by-step explanation:
To find the discriminant, we need to get the equation in standard form
9x^2+2=10x^2
Subtract 10x^2 from each side
9x^2-10x^2+2=10x^2-10x^2
-x^2 +2 =0
This is in the form ax^2+bx +c =0
where a=-1 b=0 and c=2
The discriminant is
b^2 -4ac
0^2 -4*(-1)*2
0+8
The discriminant is 8
How much water can the cup hold when full?
Answer:
92.45cm^2
Step-by-step explanation:
The volume of the cone is found with pi*r^2*h/3
Find the percent from 85 to 30
Answer:
25.5
Step-by-step explanation:
The formula for the volume of a sphere is V=4/3nr3 . What is the formula solved for r
V = 4/3 π r^3 //Multiply both sides by 3 and divide both sides by 4.
3V/4 = π r^3 //Divide both sides by π
(3V)/(4π) = r^3 //Cube root on both sides.
3√ (3V/4π)
NOTE: 3√ means cube root and not 3 times square root. Everything inside the root is cube root (3V)/(4π).
//Hope it helps.
For this case we have that by definition, the volume of a sphere is given by:
[tex]V = \frac {4} {3} * \pi * r ^ 3[/tex]
We must find the solution for "r", clearing:
Multiplying by 3 on both sides of the equation:
[tex]3V = 4 * \pi * r ^ 3[/tex]
We divide between[tex]4 * \pi[/tex] on both sides of the equation:
[tex]\frac {3V} {4 \pi} = r ^ 3[/tex]
Finally, we apply cubic root on both sides of the equation:
[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]
Answer:
[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]
The perimeter of a rectangle garden is 54 feet. The width is 5 more feet than the length. What is the length of the garden
The Length of the rectangle is 11 ft and the width is 16 ft
a. I, III, II
b. II, I, III
c. II, III, I
d. III, I, II
The logical order for the proof is as follows: [tex]\( \overline{UV} \parallel \overline{WZ} \)[/tex] (Given), [tex]\( m\angle SQV + m\angle VQT = 180^\circ \)[/tex] (Substitution Property of Equality), [tex]\( m\angle SQT = 180^\circ \)[/tex] (Definition of a Straight Angle), and [tex]\( m\angle SQV = m\angle ZRS \)[/tex] (Subtraction Property of Equality). The correct choice is: c. II, III, I
The logical order of statements and reasons in the proof is as follows: First, it's given that [tex]\( \overline{UV} \parallel \overline{WZ} \)[/tex]. Then, by the Substitution Property of Equality, we have [tex]\( m\angle SQV + m\angle VQT = 180^\circ \)[/tex]. The Definition of a Straight Angle is applied to conclude that [tex]\( m\angle SQT = 180^\circ \)[/tex].
The Angle Addition Postulate supports [tex]\( m\angle SQV + m\angle VQT = m\angle SQT \)[/tex]. The Same-Side Interior Angles Theorem establishes [tex]\( m\angle VOT + m\angle ZRS = 180^\circ \)[/tex]. Using the Substitution Property of Equality, [tex]\( m\angle SQV + m\angle VQT = m\angle VQT + m\angle ZRS \)[/tex]. Finally, the Subtraction Property of Equality yields [tex]\( m\angle SQV = m\angle ZRS \)[/tex], and, by the Definition of Congruency, [tex]\(\angle SQV = \angle ZRS\)[/tex].
The correct answer is:
c. II, III, I
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I need help really bad
Volume is found by multiplying the length by the width by the height.
Since you are given the volume and two of the dimensions, multiply the two dimensions together, then divide the volume by that number.
11 x 5 = 55
Width = 440 / 55
Width = 8 inches.
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. table How much was the absolute error in his estimate? $
Answer:
[tex]\$\ 25[/tex]
Step-by-step explanation:
By definition, the absolute error is defined as:
[tex]\epsilon = |x_a - x_e|[/tex]
Where:
[tex]\epsilon[/tex]: is the error
[tex]x_a[/tex]: is the approximate value
[tex]x_e[/tex]: is the exact value
In this problem the approximate value was 100 and the exact value was 75. Then we substitute these values in the formula to find the error.
[tex]\epsilon = |100 - 75|\\\epsilon = \$\ 25[/tex]
Answer:
$25
Step-by-step explanation:
|25|=25
For people doing this in 2020
miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay, y, in dollars as it relates to the number of hours, x, that he has worked.
Answer:
Step-by-step explanation:
Y=18.75x + 2500
Change the addition sign to a subtraction = Y=18.75x - 2500
Then bring 18.75x and divide it by 2500 = 133.33 so Y=133.33 if you were to round it would be 133.00
The total wage will be equal to $2593.75.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay.
The total wage at 5 hours will be calculated as below:-
y= 18.75x + 2500
y = ( 18.75 x 5 ) + 2500
y = ( 93.75 ) + 2500
y = $2593.75
Therefore, the total wage will be equal to $2593.75.
The complete question is given below:-
Miguel recently started a new hourly wage job. The equation y= 18.75x + 2500 models his total pay, y, in dollars as it relates to the number of hours, x, that he has worked. Calculate the total wage at 5 hours working.
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How do you do it please help ASAP and thank you for your support
Answer:
19.38 cm^2
Step-by-step explanation:
base * height = A of parallelogram
3.4 * 5.7 = 19.38
Did I set up the equation right? Please help me.
Yes you did a little reminder for you from me is that c^2 will ALWAYS be across from the right angle(90 degree)
−3x+3y=12
3x+6y=−57
find the solution
First solve the equation for 3x
-3x+3y=12
3x=-57-6y
Now substitute the given value into the equation
-(-57-6y)+3y=12
Then solve for y
Y=-5
Then substitute the given value of y
3x=-57-6✖️(-5)
Now solve for x
X=-9
Ordered pairs
(X,Y)=(-9,-5)
Then you are left with your answer:
(-9,-5)
Hope this helps! :3
First we need to solve for X.
Solve for xx.
-3x+3y=12−3x+3y=12
Divide both sides by -3−3.
x-y=-\frac{12}{3}x−y=−
Simplify \frac{12}{3}
x-y=-4x−y=−4
Add y to both sides.
x=-4+yx=−4+y
Regroup terms.
x=y-4x=y−4
Step two:
Let's start with the normal equation.
3x+6y=-573x+6y=−57
Let x=y-4x=y−4.
3(y-4)+6y=-573(y−4)+6y=−57
Simplify.
9y-12=-579y−12=−57
Great! Now we are on step 3.
Solve for y.
9y-12=-579y−12=−57
Add 1212 to both sides.
9y=-57+129y=−57+12
Simplify -57+12−57+12 to -45−45.
9y=-459y=−45
Divide both sides by 99.
y=-\frac{45}{9}y=−
Simplify \frac{45}{9} to 55.
y=-5y=−5
Step 4! Boom!!
Now let's start with what we have.
x=y-4x=y−4
Let y=-5y=−5.
x=-5-4x=−5−4
Simplify.
x=-9x=−9
Then our answers are:
x=−9
y=-5y=−5
Have an amazing day and thanks for using Brainly!
Which of the following do not describe a residual?
Answer:
A and C do not describe a residual
Step-by-step explanation:
A residual in least squares regression is defined as the difference between the actual value and the predicted value. Symbolically, this definition is represented by alternative B.
Plz help i don’t understand it
since you cross multiply, 2 times 4 is 8 and 6 times the p is 6p so divide both sides by 6 and 8/6 is 1.33 so 1.33=p
Answer:
p = 4/3
Step-by-step explanation:
The problem is showing you a proportion and how to solve it.
Let's use the following proportion to explain the cross multiplication method.
[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]
Start with the proportion above. To get rid of parentheses, multiply both sides by b and by d.
[tex] bd\dfrac{a}{b} = bd\dfrac{c}{d} [/tex]
Simplify:
[tex] ad = bc [/tex]
Now look again at the proportion we started with.
[tex] \dfrac{a}{b} = \dfrac{c}{d} [/tex]
The two products we ended up with are the same you have circled in your problem. Those products are the result of cross multiplying.
Now let's do your problem and go straight to the cross multiplication.
[tex] \dfrac{6}{2} = \dfrac{4}{p} [/tex]
6 and p are circled together, so the left side becomes 6p.
2 and 4 are circled together, so the right side becomes 2 * 4.
After cross multiplying, we have
6p = 2 * 4
6p = 8
Divide both sides by 6 to find p.
p = 8/6
Reduce the fraction
p = 4/3
What the problem shows you is that to simplify a proportion, set the cross products equal to each other, and solve the equation.
I need your help with this problem
Answer:
a) distance from plane to swimmer = 2127.66 m
b) distance from swimmer to point D = 1928.31 m
Step-by-step explanation:
Given the question,
height at which the plane is = 900m
angle of depression = 25°
If we closely observe, the whole scene is making an right angle triangle
So, we can use trigonometry identities
a)cosФ = BD / ABcos (90-25) = 900 / AB
0.423 = 900 /AB
AB = 2127.66 m
b)sinФ = AD/ABsin(90-25) = AD /2127.66
AD = sin(90-25) x 2127.66
AD = 1928.31m
Olivia’s dog is four years old. Her cat is one and a half years younger. How old is Olivia’s cat
Answer: 2 1\2
Step-by-step explanation:
4-1 1\2=2 1\2
Please help and thank you
Answer:
A should be the correct answer
Step-by-step explanation:
1/3π xr^2xh just means "3.14 x r^2 x height ÷ 3"
The right choice is C
Step-by-step explanation:See the image
A triangle has sides 42, 4x, and 2x−6. What is the possible range of x?
? < x < ?
Answer:
[tex]8\ units< x < 18\ units[/tex]
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Theorem
case 1) [tex]42+4x > 2x-6[/tex]
[tex]4x-2x > -6-42[/tex]
[tex]2x > -48[/tex]
[tex]x > -24\ units[/tex]
case 2) [tex]42+(2x-6) >4x[/tex]
[tex]42-6 >4x-2x[/tex]
[tex]36 >2x[/tex]
[tex]18 >x[/tex] -----> rewrite
[tex]x<18\ units[/tex]
case 3) [tex]4x+(2x-6) > 42[/tex]
[tex]4x+2x > 42+6[/tex]
[tex]6x > 48[/tex]
[tex]x > 8\ units[/tex]
therefore
[tex]8\ units< x < 18\ units[/tex]
p-6=-5 solve for the value of p
Answer:
p=1.
Step-by-step explanation:
All you do is add 6 to both sides to get rid of the 6 on the p side and add 6 to the other side and the value of -5+6 is 1.
p=1.
Answer:
P=1
Step-by-step explanation:
You add 6 on both sides then subract by -5
and it will give you 1
the length of a rectangle playground in a scale drawing is 12 inches. if the scale is 1 inch = 10 feet, what Is the actual length. please show me how you got the answerrr
Answer:
120 feet
Step-by-step explanation:
12 x 10 = 120
Given f(x)=7x-9 and g(x) =x^2, choose the expression for (f*g)(x)
ANSWER
[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]
EXPLANATION
It was given that;
[tex]f(x) = 7x - 9[/tex]
and
[tex]g(x) = {x}^{2} [/tex]
We want to find an expression for the composition function;
[tex](f\circ g)(x)=f(g(x))[/tex]
[tex](f\circ g)(x)=f( {x}^{2} )[/tex]
We substitute x² into f(x)=7x-9
This will give us:
[tex](f\circ g)(x)=7 {x}^{2} - 9[/tex]