Solution:
we are given that
Zach has 53 flowers to plant.
He wants to plant them in groups of 10s and 1s.
zach can plant 10 flowers in each flower box.
Zach only wants to plant a group of ten flowers in each box.
We have been asked to find Is there any way that zach could plant all 53 flowers using boxes only?
since zach can plant 10 flowers in each flower box. so in 5 boxes he can plant
50 flowers.
Now we have 3 left. These 3 can be planted in pot.
But he wants to use boxes only with 10 flowers in each box.
So its not possible to plant all 53 flowers using boxes only.
Write a function named righttriangle() that accepts the lengths of two sides of a right triangle as the arguments a and
b.
The walking distance from the Empire State Building in New York City to Times Square is about 9/10 mile. The walking distance from the Empire State Building into sues hotel is 8 times as far
Answer: Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
Step-by-step explanation:
Since we have given that
Walking distance from the Empire State Building in New York City to Times Square = [tex]\frac{9}{10}\ mile[/tex]
According to question, the walking distance from the Empire State Building into Sues Hotel is 8 times as far.
So, Walking distance from the Empire State Building into Sues Hotel is given by
[tex]8\times \frac{9}{10}\\\\=\frac{72}{10}\\\\=7\frac{2}{10}\ miles[/tex]
Hence, Walking distance is [tex]7\frac{2}{10}\ miles[/tex]
if the graph of a quadratic function intersects with the x axis two times, how many solutions are there to the equation when set equal to zero
Final answer:
A quadratic function intersecting the x-axis two times means there are two distinct real solutions to the equation when it is set to zero.
Explanation:
When a quadratic function intersects the x-axis two times, it indicates that the corresponding quadratic equation has two distinct real solutions.
This is because the points where the graph intersects the x-axis are the zeros of the function, which are the solutions to the equation when set equal to zero.
To find the solutions to a quadratic equation of the form ax² + bx + c = 0, one can use the quadratic formula, which is:
[tex]x = (-b \pm (b^2 - 4ac)) / (2a)[/tex]
If the discriminant (b² - 4ac) is greater than zero, this indicates two distinct real solutions.
The angle measures in degree that corresponds to 7pi
Find an equation for the contour of f(x,y)=2x2y+7x+20f(x,y)=2x2y+7x+20 that goes through the point (3,−2)(3,−2).
A contour at height c have [tex]\mathbf{f(x, y) = c}[/tex] as its equation
The equation of the contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
The given parameters are:
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{(x,y) = (3,-2)}[/tex]
Recall that:
[tex]\mathbf{f(x, y) = c}[/tex]
Substitute [tex]\mathbf{(x,y) = (3,-2)}[/tex] in f(x,y)
[tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{f(3,-2) = 2 \times 3^2 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate exponents
[tex]\mathbf{f(3,-2) = 2 \times 9 \times -2 + 7 \times 3 + 20}[/tex]
Evaluate the products
[tex]\mathbf{f(3,-2) = -36 + 21 + 20}[/tex]
[tex]\mathbf{f(3,-2) = 5}[/tex]
Replace 3 and -2, with x and y
[tex]\mathbf{f(x,y) = 5}[/tex]
Substitute 5 for f(x,y) in [tex]\mathbf{f(x,y) = 2x^2y + 7x + 20}[/tex]
[tex]\mathbf{2x^2y + 7x + 20 = 5}[/tex]
Collect like terms
[tex]\mathbf{2x^2y + 7x + 20 - 5 = 0}[/tex]
[tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
Hence, the equation of contour is [tex]\mathbf{2x^2y + 7x + 15 = 0}[/tex]
Read more about equations of parabola at:
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Compute the area of the triangle. H=8cm b=14cm
a loan of $940 was repaid at the end of 12 months with a check of $960 What annual rate of interest was changed
The sum of y and 3 is greater than 7 what is an inequality that can represent the phrase
Work out the equation of the line which has a gradient of 3 and passes through the point (-1,3)
Answer: y=3x+6
Step-by-step explanation: use y=mx+c
Which expression can be used to find the quotient of 15 and ?
Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing?
There are 84 students in the glee club there are 12 more boys than girls what is the ratio of the number of girls to the number of boys
find the lengths of all four sides : P (2,2), Q (1,-3),R (-4,2),S (-3,7)
Answer: I'm pretty sure it is PQ = sqrt [(-3-2)^2 + (1-2)^2] = sqrt 26 = 5.1
Step-by-step explanation:
Use the appropriate property of determinants to find
a.a. do not evaluate the determinants.
The query is about applying properties of determinants to find a determinant without evaluating it. This involves using properties such as linearity, the effect of elemental operations, and the determinant of a product. The instructions also involve using simplified subscripts and omitting them if they are one.
Explanation:Properties of determinants are often used to simplify the process of determinant calculation without actually evaluating the determinant. In this particular scenario, to find a given determinant using the appropriate property, one must consider the properties such as linearity with regards to rows or columns, the determinant of a product, and the effect of elemental operations such as switching or scaling rows or columns. Remember, if you apply a transformation that changes the determinant's value, you need to account for that change. For instance, if you multiply a row by a scalar, the determinant is also multiplied by that scalar. If you switch two rows, the sign of the determinant is flipped.
When simplifying subscripts in the final formula, you should follow the instructions explicitly: use the simplified subscript and omit the subscript if it is one, as these rules can affect the determinants in certain cases involving submatrices or cofactors. Keep these guidelines in mind when you are working with determinants, although it appears that this particular question might be incomplete and does not specify the determinant to be simplified.
Which transformation gives the same result as a reflection over the y-axis followed by a reflection over the x-axis?
a.A rotation of 180° around the origin
b.A rotation of 270° around the origin
c.A translation to the left and then down
d.A rotation of 90° around the origin
Answer:
a. A rotation of 180° around the origin.
Step-by-step explanation:
A rotation of 180° around the origin would give us the same result as a reflection over the y-axis followed by a reflection over the x-axis. When we perform this rotation, we take each of its points through the transformation (x,y) ---> (-x, -y). This means that we would multiply the coordinates of each of the points on the shape by a negative. This is equivalent to reflecting a shape over the x-axis and the y-axis.
Corporate bonds from Hyren Airlines are selling at 106.133, bonds from Xyx Motors are selling at 97.701, and bonds from Ergar Appliances are selling at 101.294. If all of the bonds mentioned have a par value of $1,000 apiece, how much will it cost George to purchase one from each corporation? a. $3,051.28 b. $3,000.00 c. $3,305.12 d. $2,694.88
Answer:
A IS YOUR ANSWER DONT EVEN BOTHER TO DOUBLE CHECK ON EGDE
Step-by-step explanation:
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Explain what equivalent fractions are and give an example.
What is the value of x in simplest radical form?
1.A natural law of growth is of the form y= [tex]5e^{0.2x}[/tex]. Draw a graph for this law for values of x from x = -3 to x = 3. From the graph:
A)Find the gradient of the curve at x = -2 and x = 1 by differentiation and by drawing a tangent to the curve.
B)Compare your two solution for these gradients
find the number of possible choices for a 4-digit (pin) if the digits cannot be repeated
find the possible choices of a 4-digit (pin) if the digits cannot be repeated
The number of possible choices for a 4-digit PIN where the digits can't repeat is 5040, coming from the product of the choices per position: 10 choices for the first digit, 9 for the second, 8 for the third, and 7 for the fourth.
Explanation:The subject of this question is combinatorics, a branch of mathematics that focuses on the counting and arrangement of objects. We want to find out the number of possible choices for a 4-digit PIN, where the same digit can't repeat. In this situation, at the first position, we have 10 choices (from 0 to 9). However, once we pick one number, it can't be repeated, so in the second, third and fourth positions, we have 9, 8, and 7 choices respectively.
So, we multiply the choices together to come up with 5040 (10*9*8*7) possible choices for a 4-digit PIN where the same digit can't be repeated. This method of counting is generally known as the multiplication principle in combinatorics.
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What is the median for the data set?
252, 210, 264, 278, 208, 295, 248, 257, 284, 271
Express your answer as a decimal to the nearest tenth.
Enter your answer in the box.
Here there are total ten numbers (even)
So these are the steps we follow:
Step 1:
Arrange the numbers in ascending order.
252, 210, 264, 278, 208, 295, 248, 257, 284, 271
Ascending order is : 208, 210, 248, 252, 257, 264, 271, 278, 284, 295
Step 2:
Find the middle two numbers.
The middle two numbers are 257 and 264.
Step 3:
Find average of these two numbers.
Average = (257+264)/2 = 260.5
Answer : Median is 260.5
if the numbers 1 2 3 4 5 are to be used in a five number code how many different codes are possible if reputitions are not permitted
A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the sum of the measures of the two acute angles. What is the common measure of the large angles, in degrees?
1. First, you must apply the formula for calculate the sum of the interior angles of a regular polygon, which is shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°
If x is the measure in degrees of each of the acute angles, then each of the larger angles measures 2x degrees. Since the number of degrees in the sum of the interior angles of an n-gon is 180(n-2), we have
x+x+2x+2x+2x=540 ⇒ 8x = 540 ⇒ x=135/2.
The large angles each measure 2x=135 degrees.
Breanna sold 1,200 Of Clothes At The dress shop and earned a commission of $210. What is her commission percent?
if you put down 15% on a $9000 car and pay monthly payments of $189.40 for 48 months , what is the total price of the car?
The midpoint of the line segment from upper p 1p1 to upper p 2p2 is left parenthesis negative 1 comma 5 right parenthesis(−1,5). if upper p 1p1equals=left parenthesis negative 4 comma 6 right parenthesis(−4,6), what is upper p 2 question mark p2?
Final answer:
To find the coordinates of point P2 when given the midpoint M(-1, 5) and point P1(-4, 6), we use the midpoint formulas, resulting in P2 having the coordinates (2, 4).
Explanation:
The midpoint of a line segment is the point that is exactly halfway between the endpoints of the line segment. By definition, the midpoint M(x, y) can be found using the endpoints P1(x1, y1) and P2(x2, y2) with the formulas:
x = (x1 + x2)/2y = (y1 + y2)/2To find P2, we solve for x2 and y2 using the midpoint M(-1, 5) and the given point P1(-4, 6):
x2 = 2x - x1 = 2(-1) - (-4) = -2 + 4 = 2y2 = 2y - y1 = 2(5) - 6 = 10 - 6 = 4Therefore, the coordinates of point P2 are (2, 4).
Final answer:
The coordinates of P2 are (6, 4).
Explanation:
The midpoint of a line segment can be found by taking the average of the x-coordinates and the average of the y-coordinates of the two endpoints. In this case, the midpoint is (-1, 5), and one endpoint is (-4, 6). To find the other endpoint, we can use the formula:
x-coordinate of P2 = 2 * (x-coordinate of midpoint) - x-coordinate of P1 = 2 * (-1) - (-4) = 2 + 4 = 6
y-coordinate of P2 = 2 * (y-coordinate of midpoint) - y-coordinate of P1 = 2 * (5) - 6 = 10 - 6 = 4
Therefore, the coordinates of P2 are (6, 4).
Please help with this multiple choice question ?
four photographers are taking pictures at a school dance. Photographer A takes 25 of the pictures, Photographer B takes 4% , Photographer C takes 0.29 hey , and Photographer D takes 27/100 . Which choice lists the photographers in order from least to greatest by the amount of pictures they take?
ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. Calculate the length of DE?
What is the probability that of two randomly selected women, one is 68 inches or shorter and the other is 68 inches or taller?