Find two consecutive integers whose product is 90.
find an equation for the plane that passes through the point (3, 6, −7) and is perpendicular to the line v = (0, −6, 5) t(1, −2, 3).
The equation for the plane that passes through the point (3, 6, −7) and is perpendicular to the line v = (0, −6, 5) t(1, −2, 3) is given by: Ax + By + Cz + D = 0, where A, B and C are the components of the normal vector to the plane and (x, y, z) are the coordinates of a point on the plane and D is the constant.
To calculate A, B, C and D we need to take the dot product of the normal vector and the position vector. Since the line is perpendicular to the plane, any vector parallel to the line can be a normal vector to the plane. Hence, the direction vector of the line, i.e. (1, -2, 3), is a normal vector to the plane.
Substituting the coordinates of the given point (3, 6, -7) and the components of the normal vector (1, -2, 3) into the equation of the plane, we get: 1(3) - 2(6) + 3(-7) = d => d = -24. Therefore, the equation of the plane is: x - 2y + 3z = -24
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Mr. Crawford's class has 7 boys and 8 girls. Mrs. Ball's class has 4 boys and 10 girls. If one student is randomly selected from each class, what is the probability they are both boys?
A. 11/18
B. 2/15
C. 1/190
D. 1/24
Given the chance of independent events, if one student is randomly selected from each class, the likelihood that both of them are female is 2/15.
What is the meaning of probability?Probability relates the number of favourable events to the total number of possible events.
Thus, to determine the chance of any event, the ratio between the number of favourable cases (cases in which event A may or may not occur) and the total number of potential cases is employed. A:
Number of likely cases x Number of potential cases equals probability.
The number of independently likely events.
Two occurrences A and B are said to be independent if and only if the likelihood of event B is unaffected by the occurrence of event A, or vice versa.
The sum of the probabilities for each individual event is the probability that every independent event, for any number of occurrences, will occur. In other words, if A and B are independent events, P(A and B) = P(A)P. (B).
The response indicates that Mr. Crawford's class has a total of 15 students (8 girls and 7 boys).
14 kids, 10 female and 4 males, are enrolled in Mrs. Ball's class.
The likelihood that a boy will be chosen in each class, if one student is randomly chosen from each, is computed as follows:
Probability in Mr. Crawford's class is 7/15 (7/15 x 15).
In Mrs. Ball's class, the probability is 4 14 = 4/14.
Given that these are separate occurrences, the likelihood that both students chosen for the classes are boys is determined as follows:
Chance that both of the students chosen for the classes will be boys: In Mr. Crawford's probability class In Ms. Ball's class, probability
Chance that both of the students chosen for the classes will be boys: 7/15 4/14
The likelihood that both of the students chosen for the classes are boys is 2/15.
Ultimately, there is a 2/15 chance that they are both boys.
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help meh ples were just learning this :(
Answer:
blue
Step-by-step explanation:
you have to multiply the length x width so 18x8 to get the area for the rectangle which is 144 and then multiply the base and the height then multiply that by 0.5 to get the area for the triangle so it will be 8x6=48 48x0.5=24 then add the area of the triangle to the area of the rectangle so 24+144=168
Simplify fully
a)
\( \sqrt{12} \)
b)
\( \sqrt{27} \)
c)
\( \sqrt{50} \)
Answer:
See below for answers and explanations
Step-by-step explanation:
A) \(\sqrt{12}=\sqrt{4*3}= \sqrt{4}\sqrt{3}=2\sqrt{3}\)
B) \(\sqrt{27}=\sqrt{9*3}=\sqrt{9}\sqrt{3}=3\sqrt{3}\)
C) \(\sqrt{50}=\sqrt{25*2}=\sqrt{25}\sqrt{2}=5\sqrt{2}\)
1 ) Old Navy is offering a 20 % discount on all sweaters. If the regular price of a sweater is $45,what is the sale price?
Answer:
Sale Price = $36
Step-by-step explanation:
To find the sale price, you need to find what 10% of the original price is. 10% of $45 is $4.50. Now we need to find what 20% is, 20% is double 10% so we multiply the answer we got by 2. This equals to $9. The question is asking for the sale price, to find it you have to subtract $9 (the discount) from $45 (regular price). The answer you should get is $36.
Equation:
$45 ÷ 10 = $4.50
$4.50 × 2 = $9
$45 - $9 = $36
What is the answer I’ve been stuck on this for way too long
\(\text{Let's write it like}\\x+y=8\\+\:\:\:+\\z-x=6\\\downarrow\:\:\:\:\:\:\downarrow\\13\:\:\:\:8\\=>\\\displaystyle\\\left \{ {{x+z=13} \atop {z-x=6}} \right. \\\left \{ {{x+z=13} \atop {z=6+x}} \right. \\\downarrow\\x+x+6=16\\2x=7\\x=3,5=>z=9,5\\\text{Now we need to find y}\\3,5+y=8\\y=4,5\\\\\text{so we have}\\3,5+4,5=8\\+\:\:\:\:\:\:\:\:\:+\\9,5-3,5=6\\\downarrow\:\:\:\:\:\:\:\:\:\:\:\:\downarrow\\13\:\:\:\:\:\:\:\:\:\:8\\\)
what is the probability that at least 3 are hyperlipidemic? what is the probability that exactly 3 are hyperlipidemic? how many would be expected to meet the criteria for hyperlipidemia?
Jenny's recipe for pancakes requires 2 cups of milk. The recipe about 15 pancakes.
Answer:
A
Step-by-step explanation:
Which of these expressions is equivalent to:
3x^3 y^5 + 3x^5 y^ 3 − (4x^5 y^3 − 3x^3 y^5)
The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).
Let's simplify the given expression step by step using the given terms:
Expression:
\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)
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Rodrigo buys a jacket that is on sale for 1/4 off the original price of 80$.he has a coupon for an additional 10% off.how much does Rodrigo pay for the jacket
Answer:
Price after off =80- 1/4 * 80 = 80-20 = $60
Coupon discount = 60*10/100 = $6
So, he have to pay, 60-6 = $54
57 = -8x – 7 helpppppp
Answer:
x = -8
Step-by-step explanation:
57 = -8x - 7
+7 +7
64 = -8x
64/-8
x = -8
Check:
57 = -8(-8) - 7
57 = 64 - 7
57 = 57
57 = -8x - 7
Add 7 to both sides:
64 = -8x
Divide both sides by -8:
X = 64/-8
X = -8
a dart board is a regular octagon divided into regions as shown. suppose that a dart thrown at the board is equally likely to land anywhere on the board. what is the probability that the dart lands within the center square?
The probability that the dart lands in centre is = √2-1.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-,
Let the side of octagon be rexterior angle of octagon = 360/8 = 45So interior angle = 180 -45 = 135So all the triangles will have 45-90-45 combinationsc sides of triangles = r/2√r/2 Calculate the total area of octagon and the area of central squareProbability = area of square /area of octagon = r2/(r2+r2+22√+r2)r2/(r2+r2+22+r2)= 1/(2+22√)take 2 common and multiply and divide byhence,The probability that the dart lands in centre is = √2-1.
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Please help me with this thanks
Answer:
I believe it is 60 degrees
Step-by-step explanation:
90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60
An aeroplane flies 500km in one hour. How long does it take to f a distance of 10925km? for class 4
Answer:
It will take 22 hours
Step-by-step explanation:
10925 ÷ 500 = 21.9 = 22 hours
Jean needs 2 gallons of olive oil to make a recipe. If the olive oil 8:00 a quart how much money will she need to buy the olive oil
Answer:
$64
Step-by-step explanation:
Given that :
Required amount of olive oil = 2 gallons
Cost per quartz = $8
Recall:
1 quartz = 0.25 gallons
Amount of quartz in 2 gallons :
2 / 0.25 = 8 quartz
Cost of olive oil needed :
8 quartz * $8
= $64
The diameter of an above ground circular swimming pool is 30 ft.
What is the CIRCUMFERENCE of the pool?
Use 3.14 for π.
The formula to calculate the circumference of a circle is given by \(\displaystyle\sf C=2\pi r\), where \(\displaystyle\sf C\) represents the circumference and \(\displaystyle\sf r\) is the radius of the circle.
Given that the diameter of the above ground circular swimming pool is 30 ft, we can find the radius by dividing the diameter by 2. So, the radius \(\displaystyle\sf r\) would be \(\displaystyle\sf \frac{30}{2}=15\) ft.
Now, substituting the value of \(\displaystyle\sf r\) into the formula, we have:
\(\displaystyle\sf C=2\pi ( 15)\)
Using \(\displaystyle\sf \pi =3.14\), we can calculate the circumference:
\(\displaystyle\sf C=2( 3.14)( 15)\)
\(\displaystyle\sf C=2( 3.14)( 15)\)
\(\displaystyle\sf C=94.2\) ft
Therefore, the circumference of the pool is 94.2 ft.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?
A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle
solve for x round your answer to the nearest tenth
help me PLSSS
Answer:
42×15=x.....................
Step-by-step explanation:
:)
Which of the following statements must be true about this diagram?
Answer:
Options (B), (D) and (E)
Step-by-step explanation:
In the figure attached, a triangle has been given with interior angles x, y and z and exterior angle as w.
By the exterior angle theorem,
"Exterior angle formed by extending one side of a triangle is equal to the opposite two interior angles."
Therefore, x° + y° = w°
Since measure of angle w is equal to the sum of two angles x and y,
So, w° > x°
Similarly, w° > y°
Therefore, Options (B), (D) and (E) are the correct options.
What is the equation in point-slope form of the line passing through (0,5) and (-2, 11)?
Oy-5=-3(x + 2)
Oy-5= 3(x + 2)
Oy - 11 = -3(x - 2)
Oy - 11 = -3(x + 2)
Answer: y-11 = -3(x+2)
The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.
Which of the following is the best interpretation of the standard deviation of the residuals?
The typical arm span is 161 centimeters.
The typical foot length is 16.1 centimeters.
The typical distance between the observed and predicted arm spans is 1.61 centimeters.
The typical distance between the observed and predicted foot lengths is 1.61 centimeters.
Answer:
D
Step-by-step explanation:
The correct answer should have a 63%.
It's probably D. The terminology is a little confusing.
The equation of the output looks like:
-7.611 + .186(x) = y
x --> Arm span
y --> Foot span
The linear relationship is formed with the armspan.
Your team wins 18 medals at a track meet. The medals are gold, silver, and bronze in a ratio of 2 : 2 : 5. How many of each medal were won by your team?
The gold, silver, and bronze in a ratio of 2 : 2 : 5 will be 4, gold, 4 silver and 10 bronzes.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
In this situation, team wins 18 medals at a track meet. The medals are gold, silver, and bronze in a ratio of 2 : 2 : 5.
Gold = 2/9 × 18
= 4 gold's
Silver = 2/9 × 18
= 4 silvers
Bronze = 5/9 × 18
= 10 bronzes.
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Will give brainliest
Answer:
steps attached
Step-by-step explanation:
Line a is parallel to line b. If the
measure of 27 is 114°, what is the
measure of 43?
An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which
graph best represents this relationship?
( sorry for the bad photo I was just trying to fit all the answers in)
Will mark brainiest or whatever it’s called!!!
In summary the correct graph to represent this relationship is a straight line with a slope of 1/6.
How to solve?
As per the given information, on the scale model 2 inches represent 1 foot on the actual statue. This means that as we go up by 1 foot on the actual statue, we go up by 2 inches on the scale model.
Therefore, the relationship between the height of the actual statue and the height of the scale model is linear, with a slope of 2/12 = 1/6. This is because for every 1 foot increase in height on the actual statue, the height on the scale model increases by 2 inches, which is equivalent to 1/6 of a foot.
So, the correct graph to represent this relationship is a straight line with a slope of 1/6.
Looking at the given options, the graph that best represents this relationship is option (C), which is a straight line with a positive slope of less than 1.
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3x-6y=24 y=Mx+b form
Answer:
Hi, there your answer is\(y=\frac{1}{2} x-4\)
Step-by-step explanation:
Let's solve for y.
3x−6y=24
Step 1: Add -3x to both sides.
3x−6y+−3x=24+−3x
−6y=−3x+24
Step 2: Divide both sides by -6.
−6y /−6 = −3x+24 /−6
y=1/2x-4
Hope this helps :)
If there are 60 sides, what is the difference between the perimeter and π?
Let n represent the number of tablets the vet should prescribe. Which expressions will correctly solve the problem? Select all that apply. response - correct 25n =2×25 25n=252 n=2×2525 n=2×25. Solve How many tablets should the vet prescribe per day? Enter the value in the box tablets per day.
Answer:
Step-by-step explanation:
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Answer:
here this will help
Step-by-step explanation:
I am mad confused! I will make you Brainlist if correct and show all steps and I will give a thanks on all your answers
Step-by-step explanation:
The surface area of a rectangular prism can be found by adding the areas of all six of its faces.
In this case, the rectangular prism has side lengths of 3, 6, and 12 feet. So, its faces are:
Top and bottom faces: Each of these faces is a rectangle with side lengths of 3 feet and 6 feet. Therefore, the area of each of these faces is 3 ft * 6 ft = 18 ft². Since there are two of these faces, their combined area is 2 * 18 ft² = 36 ft².
Front and back faces: Each of these faces is a rectangle with side lengths of 3 feet and 12 feet. Therefore, the area of each of these faces is 3 ft * 12 ft = 36 ft². Since there are two of these faces, their combined area is 2 * 36 ft² = 72 ft².
Side faces: Each of these faces is a rectangle with side lengths of 6 feet and 12 feet. Therefore, the area of each of these faces is 6 ft * 12 ft = 72 ft². Since there are two of these faces, their combined area is 2 * 72 ft² = 144 ft².
To find the total surface area, we add the areas of all six faces:
Total surface area = 36 ft² + 72 ft² + 144 ft²
Total surface area = 252 ft²
Therefore, the surface area of the rectangular prism is 252 square feet.
Answer:
Step-by-step explanation:
12*3*2= 72 because there are two rectangles with the same length.
6*3*2= 36 because there are two widths with the same area.
6*12*2= 144 because there are a top and bottom with the same area.
72+36+144= 252
Surface area is 252 ft squared.
What is y'all's teacher teaching y'all!? I learned this two months ago!