Answer:
slope= 0.2; intercept=-1; slope-interception form: y=0.2x-1.
Step-by-step explanation:
1) if to re-write the given equation, then
\(y=\frac{1}{5}x-1;\)
or y=0.2x-1;
this equation is slope-interception form;
2) according to the new view of the equation,
the required slope is 1/5;
the required y-intercept is -1.
angles
l'angle
surent
du
devoirs
à la maison
78 Le puzzle de Pythagore
1. a. Construire le triangle PIA rectangle en I tel
que Al = 6 cm, pl = 4,5 cm et PA = 7,5 cm.
b. Construire, à l'extérieur de ce triangle, trois
carrés PABO, LAID et PIRE.
2. Partager le carré LAID en 4 pièces de la
manière suivante :
- tracer la droite parallèle à (PA) passant par l:
- tracer la droite perpendiculaire à (PA) pas-
sant par D.
3. Découper et colorier les 4 pièces obtenues à
partir du carré LAID ainsi que le carré PIRE.
4. À l'aide de ces 5 pièces, reconstituer à la
manière d'un puzzle le carré PABO. Coller ainsi
ces pièces sur le carré PABO puis coller le tout
sur la copie.
5. En déduire une égalité entre les aires des trois
carrés PABO, LAID et PIRE.
6. En posant a = AI, b = PI et c = PA, retrouver
l'égalité de Pythagore dans le triangle PIA.
naque
com-
-que
poté-
Answer:
cvdgcbhxnjkmz,
Step-by-step explanation:
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
15. A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing
nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the
birdhouse and the pole?
.a. 12
c. 18.75
b. 15
d. 13.25
Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and birdhouse
4 foot tall person makes 5 feet long shadow
5x3=15
4x3=12 so the birdhouse and pole are 12 feet
The birdhouse and the pole are 18.75 ft tall.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a person standing nearby who casts a shadow 5 feet long. The person is 4 feet tall.
Assume that for the birdhouse and the pole are [x] ft tall.
Now, for a 4 feet tall person, the shadow is 5 feet long.
Then, for one feet long person, the shadow would be (5/4) feet long.
Then, for 15 feet long -
x/15 = 5/4
x = (15 x 5)/4
x = 75/4
x = 18.75 feet tall
Therefore, the birdhouse and the pole are 18.75 ft tall.
To solve more questions on Equation modelling, visit the link below-
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What type of association is shown by the scatterplot?
Answer:
Positive
Step-by-step explanation:
The graph goes up (puff puff positive)
A machine fills boxes at a constant rate.At the end of 35 minutes it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
Answer:
7
Step-by-step explanation:
5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]
Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
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Complete question
Find the measure of each exterior angles of rectangle?
Step by step
Choose the correct graph of the function
The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution: On average, how many accidents are there in the intersection in a week
Answer:
Average Mean = 1.8
Step-by-step explanation:
Missing:
X:0 1 2 3 4 5 6
P(x): 0.20 0.30 0.20 0.15 0.10 0.05
Computation:
Average Mean [Probability distribution]
∑[P(x) × X]
= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05
= 1.8
Average Mean = 1.8
NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
I WILL MAKE BRAINLYIEST 50+ POINTS
YOU HAVE TO SHOW THE STEPS
For the equation 50t + 10 = 160, what are the steps to solve for t?
>State the steps that you have to use
>Solve the equation
Answer:
3t
Step-by-step explanation:
1 you would change +10 to -10 and subtract 10 from 160.
2. you would end up with 50t = 150 after doing that
3. divide 50 by 50 to isolate the t. now t is by itself since 50 divided by 50 is 1.
4. divide 150 by 50 to get 3. the t is still there so it's t=3 or just 3t
lmk if i should explain this better or if you still need assistance
2. Select all ratios that are equivalent to 3:18.
21:126
6:36
1:6
1:18
15
21
Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed by 3 numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)
The counting principle says that we multiply the number of ways for each of these events together to get the total number of ways to get a license plate. Hence, there are \(158184000\) ways to create a license plate.
What is the counting principle?
The fundamental counting principle states that if there are \(p\) ways to do one thing and \(q\) ways to do another thing, then there are \(p\)×\(q\) ways to do both things.
So,
The number of ways to count the first number are \(9\) ways.
The number of ways to count the first letter are \(26\) ways
The number of ways to count the next letter are \(26\) ways
The number of ways to count the third letter are \(26\) ways
The number of ways to count the next number are \(10\) ways
The number of ways to count the next number are \(10\) ways
The number of ways to count the next number are \(10\) ways
So, the total number of ways to get a license plate is:-
\((9).(26).(26).(26).(10).(10).(10)=158184000\).
Hence, there are \(158184000\) ways to create a license plate.
To know more about the counting principle
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Francium is an element with a half-life of 22 minutes. 1000 grams of francium is placed into a bowl determine how much Francium (in grams) will be left after 2 hours
The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.
Half-life problemTo determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.
Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):
Number of half-lives = (Total time elapsed) / (Half-life)
Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545
Since we can't have a fraction of a half-life, we take the integer part, which is 5.
Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:
Remaining amount = Initial amount * (1/2)^(Number of half-lives)
Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:
Remaining amount = 1000 grams * \((1/2)^5\)
Remaining amount ≈ 1000 grams * 0.03125
Remaining amount ≈ 31.25 grams
Therefore, after 2 hours, approximately 31.25 grams of francium will be left.
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Of the animals at a pet show, 3/8 were cats and 4/8 were dogs. The rest of the animals were rabbits. What fraction of the animals were rabbits?
Answer:
1/8 Of the animals are rabbits.
Step-by-step explanation:
3/8 Cats + 4/8 Dogs = 7/8
1/8 Is all you have room left for so 1/8 would be rabbits.
Answer:
1/8.
Step-by-step explanation:
Fraction of rabbits = 1 - (3/7 + 4/8)
= 1 - 7/8
= 8/8 - 7/8
= 1/8.
Pls help urgently extra points and mark brainlist
Answer:
$9.50
Step-by-step explanation:
47.50 ÷ 5 = 9.5
Answer:
$9.50 you are correct
Step-by-step explanation:
You just divide 47.50 by 5!
Can you give me brainliest if not that's ok! :)
Consider the image below. Solve for x and y.
Answer:
x=22
Y=10
Step-by-step explanation:
x=22
Y=10
Check the image
Over the holiday break, Ms. Horton baked a ham that was 19 1/4 pounds.
By the end of the night there was 6 7/10 pounds left. How much turkey was
eaten that night?
Answer:
12 11/20
Step-by-step explanation:
the answer to the question is 12 11/20
What is the ratio of miles to gallon for Larry’s car
23miles to 1 gallon
Explanations:Given the following parameters:
Distance covered by Larry's car = 230miles
Amount of gallons of fuel = 10 gallons
The ratio of miles to gallon of Larry's car is given as:
\(\begin{gathered} ratio=\frac{230miles}{10gallons} \\ ratio=\frac{23miles}{1gallon} \end{gathered}\)Hence the ratio of miles to gallon of Larry's car is 23miles to 1 gallon
Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.
Which equation can be used to find x, the distance from school to his aunt’s house?
The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles + 10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles + 10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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If f(x)=34x+56 , what is f(12)?
Answer:
f(x)= 34x +56 34(12) +56=464
Step-by-step explanation:
A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.
Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?
Answer:
NO.
Step-by-step explanation:
The Professor's hypothesis:
An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).
25 students are used as the experimental group while the rest of the class are the control group.
The mean GPA in a sample size (SS) of 6 is = 2.58
The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.
This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.
Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:
[2.58 - 0.6] to [2.58 + 0.6]
= 1.98 to 3.18
The rest of the graduating class (the control group) had a mean GPA of 2.33
Can the professor conclude that the GPA for the sample is significantly different from that of the control group?
The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!
A student performed row operations on a matrix as shown below.
4
1
2
4
-4
2
0
-1
3
1
-1
3
1
3
2
4
5
3
0
107
Which operations did the student perform?
2R2+R3 R3
O 2R3+-R3 > R3
רית
The matrix shown represents its elements in rows and columns
The operation performed by the student is R3 -> 2R2 + R3.
How to determine the matrix operation?The matrix is given as:
\(\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&2&4&5\end{array}\right]\)
Multiply the elements on the second row (Row 2) by 2.
So, we have:
2R2 = 0 -2 6 2
Add these elements to the third row (Row 3).
So, we have:
2R2 + R3 = 3 0 10 7
Replace the row 3 by the above elements.
i.e.
R3 -> 2R2 + R3.
So, we have:
\(\left[\begin{array}{cccc}-4&1&2&4&0&-1&3&1&3&0&10&7\end{array}\right]\)
Hence, the operation performed by the student is R3 -> 2R2 + R3.
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The classroom had a 16-centimetre-long glue stick, and then Christina used 2.5 centimetres of it. How long is the stick now?
Answer:
\(13.5cm\)
Step-by-step explanation:
You just need to subtract to find your answer!
The information we are given:
We have a 16cm glue stick.
Christina used 2.5cm of it.
Subtracting:
16 - 2.5 = 13.5
Now, dont forget your units :D
\(13.5 -- > 13.5cm\)
I hope I helped!~~~Harsha~~~
which value of x makes this inequality true? x+9<4x
Answer:
Step-by-step explanation:
x+9
Let x, be 4
4+9=13
given condition,
x+9<4x
4+9<4(4)
13<16
The answer is:
x > 3Work/explanation:
Our inequality is:
\(\sf{x+9 < 4x}\)
Flip it
\(\sf{4x > x+9}\)
Solve
\(\sf{4x-x > 9}\)
Combine like terms
\(\sf{3x > 9}\)
Divide each side by 3
\(\sf{x > 3}\)
Hence, x > 3I can't find the surface area lol
n=3.14
Answer:
216 square feet
Step-by-step explanation:
The formula for the surface area of a rectangular prism is:
2 (lw + hl + hw)
w= width
h= height
l= length
Use the formula with the given dimensions:
2 (6 • 2 + 12 • 6 + 12 • 2)
= 2 (12 + 72 + 24)
= 2 (108)
= 216
Surface area is measured in square feet
(feet in this case)
Hope this helps
Which of the following has a removable discontinuity
jdjdus8sisiiwisjw eusheu2ikwa
Step-by-step explanation:
udusbwha8doeny1iwjdhs79osbxyaim2
solve the system by substitution:
y=9x-12
y=3x
Answer:
5/3
Step-by-step explanation:
3=9x-12
9x-12=3
9x-12+12=3+12
9x=15
9x/9=15/9
x=5/3
Answer:
(2,6)
x = 2, y = 6
How do you solve this equation?
-4=-8+n/2
Answer:
n = 8
Step-by-step explanation:
-4 + 8 = n/2
4 = n/2
4 x 2 = n
8 = n