Answers
Answer:
89
Step-by-step explanation:
Just add the numbers, put them into the formula, and then divide. SO EASY!!!
Related Questions
After 30 years,Kassim's age will be three times his age this year.How old is Kassim this year?
Answers
Kassim is \(15\) years old this year.
Step-by-step explanation:Let \(k\) be Kassim's age this year.
Kassim's age after \(30\) years is \(k +30\). Also, \(3\) times the age of Kassim is \(3k\). We are told that after \(30\) years, Kassim's age will be \(3\) times as his age. So, \(k +30 = 3k\).
Solving for \(k\):
\(k +30 = 3k \\ k +30 -3k = 3k -3k \\ -2k +30 = 0 \\ -2k +30 -30 = -30 \\ -2k = -30 \\ \frac{-2k}{-2} = \frac{-30}{-2} \\ k = 15\)
A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function \large h\left(t\right)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. When does the water balloon reach the height of 20 feet? round your answer to the nearest thousandth.
Answers
Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.
What do you mean by equation?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What is initial and final velocity?When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.
initial height = 5
final height =20
height to travel =20-5 =15
\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)
solving we get, t = 0.255 or -2.44
since, -2.44 is not possible,
t = 0.255 seconds.
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Stacey is designing a custom rug for a client. The current design is a rectangle with a width of 8 feet and a length of 5 feet. The client wants the rug to be larger but doesn't want the width to exceed 12 feet. Select any of the scale factors that Stacey could use to dilate the current dimensions and meet the customer's requests.
Select 2 correct answer(s)
a. SF : 1.2
b. SF : 0.8
c. SF : 5/6
d. SF : 2
e. SF : 3/2
Answers
For designed a rectangular custom rug by Stacey for a client, the scale factor that he could use to dilate the current dimensions and meet the customer's requests is equals to \(= \frac{ 3}{2}\). So, option(e) is right one.
Dilation is one of geometric transformations, which includes translation, reflection, and rotation. It is the scaling of an object, where it gets bigger or smaller. Stacey is designer and design a custom rug for a client. The current design is a rectangle shape, Length of rectangle, l = 5 feet
Width of rectangle, w = 8 feet
The client wishes the rug to be larger but doesn't want the width to exceed 12 feet. A scale factor is the ratio between the scale of a original object and a new object.
That is Scale factor = Dimension of the new shape ÷ Dimension of the original shape. Now, according to client, area of rectangular rug = length × width = 12 × 5
= 60 ft²
Area of rectangular rub designed by Stacey = 5 × 8 = 40 feet. So, using the scale factor formula, the scale factor used by Stacey is \(\frac{ 60}{40}\)
\(= \frac{ 3}{2}\).
Hence, required value is \(= \frac{ 3}{2}\).
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The correct answers are SF: 1.2 and SF: 3/2.
To meet the client's request of increasing the size of the rug but keeping the width under 12 feet, Stacey can dilate the current dimensions using a scale factor that increases the length while keeping the width the same or increasing it slightly. The correct scale factors that she can use are SF: 1.2 and SF: 3/2. If Stacey uses SF: 1.2, the new length would be 1.2 times the original length of 5 feet, which is 6 feet. The new width would still be 8 feet, which is within the client's requirement of not exceeding 12 feet.
Similarly, if Stacey uses SF: 3/2, the new length would be 3/2 times the original length of 5 feet, which is 7.5 feet. Again, the new width would still be 8 feet, which is within the client's requirement. Scale factor SF: 2 would make the rug too wide, SF: 0.8 and SF: 5/6 would make it smaller in both dimensions, which does not meet the client's request.
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Using an integrating factor, solve y'+y=6+ In the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y'alty bit) te the given equation in the standard form No Yes Identify a) and b) 000-
Answers
To solve the given first-order linear differential equation, we need to put it in standard form, which is in the form y' + P(x)y = Q(x). Comparing the given equation y' + y = 6 + x with the standard form, we see that P(x) = 1 and Q(x) = 6 + x.
To put the equation in standard form, we multiply both sides of the equation by an integrating factor. The integrating factor is defined as the exponential of the integral of P(x) dx, which in this case is e^(∫1 dx) = e^x.
Multiplying the given equation by e^x, we get e^xy' + e^xy = 6e^x + xe^x.
Now, the left side of the equation can be rewritten as the derivative of the product of y and e^x using the product rule. Applying the product rule, we have (ye^x)' = 6e^x + xe^x.
Integrating both sides, we obtain ye^x = ∫(6e^x + xe^x) dx.
Simplifying the right side by integrating, we have ye^x = 6∫e^x dx + ∫(xe^x) dx.
Integrating the terms on the right side, we get ye^x = 6e^x + (x - 1)e^x + C, where C is the constant of integration.
Finally, dividing both sides by e^x, we obtain the solution for the given differential equation: y = 6 + (x - 1) + Ce^(-x).
The solution to the given first-order linear differential equation y' + y = 6 + x, after transforming it into standard form using an integrating factor, is y = 6 + (x - 1) + Ce^(-x), where C is a constant.
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to find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, multiply the total for the fewer than 6 row, 72, by the total for the 39 or younger column, 240, and then divide this product by the total sample size, 500. calculate the expected frequencies. note that the row and column totals will be the same as for the observed frequencies.
Answers
The row and column totals will be the same as for the observed frequency is 86.4.To find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, you can use the formula for expected frequency:
Expected Frequency = (Row Total * Column Total) / Grand Total
Let's call the expected frequency "EF."
For the "fewer than 6 hours" row, the total is 72. For the "39 or younger" column, the total is 240. The grand total is 500.
Plugging in the values into the formula:
EF = (72 * 240) / 500
Calculating the result:
EF = 86.4
So, the expected frequency is 86.4, which means that you would expect 86.4 people in the sample to get fewer than 6 hours of sleep per night and be age 39 or younger.
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What is the value of x
Answers
Answer:
≈ 44°
The correct answer is the second one
Step-by-step explanation:
Use trigonometry:
\( \cos(x°) = \frac{15}{21} \)
Use the reverse function (SHIFT, cos) on your calculator to find x:
\(x≈44°\)
Check the picture below.
\(\cos(x )=\cfrac{\stackrel{adjacent}{15}}{\underset{hypotenuse}{21}}\implies \cos(x)=\cfrac{5}{7}\implies x=\cos^{-1}\left( \cfrac{5}{7} \right)\implies x\approx 44^o\)
Make sure your calculator is in Degree mode.
Mack thinks that natural numbers are a subset of irrational numbers. Is Mack correct?
Answers
Answer:
He is incorrect.Because if they are irrational they are the opposite.
Step-by-step explanation:
Combine like terms to create an equivalent expression. 1.3b 7.8-3.2b1.3b 7.8−3.2b
Answers
The simplified equivalent expression exists -1.9b + 7.8.
What is equivalent expression?An equivalent expression exists an expression that contain the same value or worth as another expression, but does not look the same.
Combine the coefficient of the term b, we get
1.3b + 7.8–3.2b
= (1.3−3.2)⋅b + 7.8
simplifying the equation, we get
= (- 1.9) +b + 7.8
= −1.9b + 7.8
The simplified equivalent expression exists -1.9b + 7.8.
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Chi has a rectangular window planter that is 8 inches high, 18.5 inches long, and 7 inches wide. If she fills the planter halfway with soil, how many cubic inches of soil are in the planter?
129.5 cubic inches
259.0 cubic inches
518.0 cubic inches
1,036.0 cubic inches
Answers
Answer:
518
Step-by-step explanation:
you have to divide the hieght by 2
Find the product
(4-2x)(1-3x)(x+6)
6x^3 + 24
6x^3 + 22x^2 - 80x + 24
-4x + 11
6x^3 + 22x^2 - 84x + 24
Answers
Answer:
63+222−80+24 that's the answer
Step-by-step explanation:
63+222-80+24
hence problem solved
- 1 2/5 - 3 1/3. Please help.
Answers
Answer:
-4 11/15
Step-by-step explanation:
The optimal amount of x1, x2, P1, P2 and income are given by the
following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I
=4189 The new price of P1 is the foll
Answers
The total change in the consumed quantity of x₁ as per given price and income is equal to 213.
x₁ = (21/7)P₁
x₂ = (51/7)P₂
P₁ = 10
P₂ = 5
P₁' = 81
To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',
The difference between the quantities consumed at the original price and the new price.
Let's calculate the quantity consumed at the original price,
x₁ orig
= (21/7)P₁
= (21/7) × 10
= 30
x₂ orig
= (51/7)P₂
= (51/7) × 5
= 36.4286 (approximated to 4 decimal places)
Now, let's calculate the quantity consumed at the new price,
x₁ new
= (21/7)P1'
= (21/7) × 81
= 243
x₂ new
= (51/7)P2
= (51/7) × 5
= 36.4286
The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,
Change in x₁
= x₁ new - x₁ original
= 243 - 30
= 213
Therefore, the total change in the quantity consumed of x₁ is 213.
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The above question is incomplete, the complete question is:
The optimal amount of x1, x2, P1, P2 and income are given by the following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?
Please answer step by step
if anyone can help lmk brainly answer and 20 points
Answers
a)Midpoints are (-6.5,-4).
b)Midpoints are (-6.5,-4).
What are midpoints?In geometry, a line segment's midpoint is referred to as the midpoint. It serves as both the segment's and the ends' centroid, and it is equally spaced from both. The portion is halved by it. The midpoint formula is employed when it is important to pinpoint the exact intersection of two given points. The point that splits a line segment described by two points in half can thus be found using this method. The halfway is the precise numerical intersection of two integers. The two-number average computation and the midpoint calculation are equivalent. Consequently, you may get the halfway point between any two integers by adding any two numbers together and dividing by two.
Given Data
Mid point formula = \(\frac{x+x}{2}\)¹ , \(\frac{y+y}{2}\)¹
a) (2,-1) (-8,6)
Equating values in formula,
\(\frac{2-8}{2}\) , \(\frac{-1+6}{2}\)
(-4,2.5)
Midpoints are (-4,2.5)
b) (-8,-9) (-5,1)
Equating,
\(\frac{-8-5}{2}\) , \(\frac{-9+1}{2}\)
\(\frac{-13}{2}\) , \(\frac{-8}{2}\)
(-6.5,-4)
Midpoints are (-6.5,-4).
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What is the equation of the line that passes through the point (-3,2) and has a slope of 2/3
Answers
Answer: y = 2/3 -2
Step-by-step explanation: using a graph you can plot the point (-3, 2).
After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.
Consider the sample regression equation: y = 12 + 2x1 - 6x2 + 6x3 + 2x4 When X1 increases 2 units and x2 increases 1 unit, while x3 and X4 remain unchanged, what change would you expect in the predicted y? Decrease by 10 O Increase by 10 O Decrease by 2 O No change in the predicted y O Increase by 2
Answers
The change the you would expect in the predicted y is C. Decrease by 2
How to explain the informationIt should be noted that to determine the change in the predicted y, we need to calculate the effect of the change in x1 and x2 on y, while holding x3 and x4 constant.
The coefficients of x1 and x2 are 2 and -6, respectively. Therefore, increasing x1 by 2 units will result in a change in y of 2(2) = 4 units, while increasing x2 by 1 unit will result in a change in y of -6(1) = -6 units. Since x3 and x4 remain unchanged, they have no effect on the change in y.
Therefore, the predicted y will decrease by 2 units when x1 increases 2 units and x2 increases 1 unit, while x3 and x4 remain unchanged.
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to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder, one should________
Answers
The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.
A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.
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the measure of angle r is (7x+19) degrees if x=23 find the measure of angle r
Answers
The measure of angle r is 160 degrees.
Step-by-step explanation:
If x = 23, then:
r = 7x + 19
r = 7(23) + 19
r = 160
Therefore, the measure of angle r is 160 degrees.
( will mark brainliest )
∠A and ∠B are vertical angles with m∠A = x and m∠B = 4x − 24.
m∠A = ____ degrees
Answers
Answer:
8
Step-by-step explanation:
Vertical angles are congruent. That means that they have the same measurement. Set them equal to each other and solve for x
x = 4x - 24 Subtract x from both sides of the equation
o = 3x - 24 Add 24 to both sides
24 = 3x Divide both sides by 3
8 = x
m<A is 8
Here is an expression.
1} :
Which situation could the expression model?
O A. A bag of almonds weighs 13 pounds. When of
the bag of almonds remain, how many pounds do
the almonds weigh?
B. How many cup servings of yogurt are in 1 cups
of yogurt?
o C. A student made 6 bows from 1 yards of ribbon.
How many bows can be made from yard of
ribbon?
OD. A girl has 1 cups of soup. She eats of the soup.
How many cups of soup remain?
Answers
Answer:
b
Step-by-step explanation:
is the situation could the expression model.
Draw a right triangle on graph paper that has a base of 4 units and a height of 2 units. Enlarge it so that each side is 4.5 times as long as the
original.
a. What is the measurement of the new base?
b. What is the measurement of the new height?
Answers
a) The measurement of the new base is 18 units
b) The measurement of the new height is 9 units
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Step1:
In the figure,
AC² = AB² + BC²
= 4² + 2²
= 16 + 4
= 20
step2:
AC = √20 = 4.47 units
a) new base = 4*4.5 = 18 units
b) new height = 2*4.5 = 9 units
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i need help plzzzzzzzzzzzz
Answers
Answer:
Fraction : \(\frac{3}{10}\)
Decimal = 0.3
Percent = 30%
Answer:
Fraction: 3/10
Decimal: 0.3
Percent: 30%
Step-by-step explanation:
3/10 are shaded blue
0.3 is shaded blue
30% is shaded blue
y/4 − 2 = 9
what does y =
Answers
Answer:
y = 44
Step-by-step explanation:
First, add 2 on both sides to get y/4 = 11, then multiply 4 on both sides to get y = 44.
Hope this helps :)
Turns into
y/4 = 11
Then multiply both sides by 4 to get rid of the division
y = 44
determine which equations have the same solution set as startfraction 2 over 3 endfraction minus x plus startfraction 1 over 6 endfraction equals 6 x. – x
Answers
The equation 2/3 - x + 1/6 = 6x - x has the same solution set as the equation x = 5/36.
To determine which equations have the same solution set as the given equation, let's simplify and rearrange the terms.
Starting with the given equation:
2/3 - x + 1/6 = 6x - x
We can simplify the left side by finding a common denominator for 2/3 and 1/6, which is 6:
(4/6) - x + (1/6) = 6x - x
Combining like terms on the left side gives us:
(5/6) - x = 6x - x
Further simplifying, we can combine the x terms on the right side:
(5/6) - x = 5x
To isolate the x term on one side, we can add x to both sides:
(5/6) = 6x
Next, we can divide both sides by 6 to solve for x:
5/36 = x
Therefore, the equation 2/3 - x + 1/6 = 6x - x has the same solution set as the equation x = 5/36. Any equation that simplifies and rearranges to x = 5/36 will also have the same solution set as the given equation.
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I need help solving this.
What is s?
Answers
Answer:
\(\boxed{s=60}\)
Step-by-step explanation:
\(\frac{1}{4}s =15\)
→ Multiply everything by 4 to get rid of the fraction
\(s=60\)
What is the price of a $70.00 bottle of paper paste after a 20% discount?
Answers
Answer: The price of a $70.00 bottle of paper paste after a 20% discount would be $56.00.
what is the equation of a line that is perpendicular to -x+7y=42 and goes through (-2,-1) in slope intercept form
Answers
Answer:
y = -7x - 15Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
Given line
- x + 7y = 42In slope-intercept form it is
- x + 7y = 427y = x + 42y = 1/7x + 6Perpendicular line has slope - 1/(1/7) = - 7 and its equation is:
y = - 7x + bFinding b using the point (-2, -1)
-1 = -7(-2) + b-1 = 14 + bb = -1 - 14b = -15So the line is
y = -7x - 15build an avl tree from the following values, which value(s) are identified as an alpha node? 35, 49, 22, 27, 64, 60
Answers
TheThe AVL tree built from the given values (which are 35, 49, 22, 27, 64, 60) is identified as an alpha node at value 49.
To build an AVL tree, we start by inserting the values in the order given: 35, 49, 22, 27, 64, 60. As we insert the values, the AVL tree automatically balances itself to maintain the AVL property. After inserting all the values, the resulting AVL tree would have nodes for each value.
Among these values, the alpha node is identified as the node with the value 49. The alpha node is a special node in the AVL tree that may require additional balancing operations to maintain the balance factor. In this case, the value 49 is identified as the alpha node in the constructed AVL tree.
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A polyhedron has 6 faces and 7 vertices, how many edges does it have explain your answer
Indeed it in 5mins hurry plsssss
Answers
Answer: 12
Step-by-step explanation:
a plane intersects a cylinder perpendicular to its bases. this cross section can be described as a 1) rectangle 2) parabola 3) triangle 4) circle
Answers
A plane intersects a cylinder perpendicular to its bases this cross section can be described as a rectangle. Therefore, the correct answer is option 1).
The cross section of a plane intersecting a cylinder perpendicular to its bases is a rectangle. This is because when a plane intersects a cylinder perpendicularly (at right angles) the cross-section area has the shape of a rectangle. The base of the rectangle is determined by the diameter of the cylinder and the height is determined by the length of the cylinder.
A parabola, triangle, and circle are not possible when the plane intersects the cylinder perpendicularly since their shapes cannot accurately represent the intersection of two geometric shapes.
Therefore, the correct answer is option 1).
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Evaluate F.NdS
where N is the upward unit normal vector to S and
F(x,y,z) = xi + yj + zk
S: z = 1-x2-y2, z=> 0
Answers
Since the limits of integration or further information about the region are not provided, it is not possible to provide a numerical evaluation of the surface integral ∬S F · dS.
The surface S is given by the equation\(z = 1 - x^2 - y^2\), where z > 0. We first need to find the unit normal vector N to the surface S. The unit normal vector N can be obtained by taking the gradient of the equation z = 1 - x^2 - y^2 and normalizing it. The gradient of z is given by ∇z = (-2x)i + (-2y)j + k. Normalizing this vector, we get N = (-2x)i + (-2y)j + k / √(4x^2 + 4y^2 + 1).
Next, we evaluate the dot product of F = xi + yj + zk with N = (-2x)i + (-2y)j + k / √(4x^2 + 4y^2 + 1). The dot product F · N simplifies to F · N = (-2x)(x) + (-2y)(y) + (1) / √\((4x^2 + 4y^2 + 1).\)
Finally, we integrate F · N over the surface S using appropriate limits of integration. Since the surface S is defined by z = 1 - x^2 - y^2 with z > 0, the limits of integration for x and y will depend on the region over which the surface is defined.
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