Help me please answer both...........

The intervals where f is decreasing are given as follows:

None of the above.

Hence the decreasing intervals of the function are given as follows:

Which are none of the options given in the problem.

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Answer:

Fraction of the garden used =  \(\frac{5}{8}\)

Step-by-step explanation:

The fifth graders to plant a butterfly garden.

We are given that

Clover grows in ½ of the garden

Daisies grow in ¼ of the garden

Coneflowers grow in ⅛ of the garden

milkweed grows in ⅛ of the garden

The fifth graders notice that the butterflies land on the clover and milkweed.

We are asked to find out the fraction of the garden that the butterflies used.

Fraction of the garden used = clover + milkweed

Fraction of the garden used =  \(\frac{1}{2} + \frac{1}{8}\)

The LCM of 2 and 8 is 8

Fraction of the garden used =  \(\frac{4 +1}{8}\)

Fraction of the garden used =  \(\frac{5}{8}\)

Therefore, the butterflies used \(\frac{5}{8}\) fraction of the garden.

Answer:

536363663737272727 4th july and im present

Answer:

35 marbles were blue

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

By applying dilatation and congruency theorem, it can be concluded that the distance between points R and R' is 3 units (option A).

Dilation is a transformation of a geometric shape, either becoming larger or smaller, without changing the original shape using a certain scale factor.

Two shapes are said to be congruent if a pair of corresponding sides have the same ratio and the corresponding angles have the same measure.

From the problem we obtained the following information:

QR is dilated to create Q'R' ⇒ QR // Q'R'

The dilatation factor is 1.5 ⇒ Q'R'/QR = 1.5

Now we look at the ΔTRQ and ΔTR'Q':

QR // Q'R'

∠TRQ = ∠TR'Q'

So ΔTRQ is congruent to ΔTR'Q' and TR'/TR = Q'R'/QR

Now we can calculate y using this equation:

   TR'/TR = Q'R'/QR

(6 + y) / 6 = 1.5

      6 + y = 9

            y = 3

Thus, the distance between points R and R' is 3 units.

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Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.

The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.

To use this function in Excel, you need to provide the range of x-values and the range of y-values.

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A null space calculator finds the null space of a matrix used in linear algebra.

An invalid space mini-computer is a web-based instrument used to track down the invalid space, otherwise called the portion, of a framework. The invalid space of a framework is the arrangement of all vectors that fulfill the condition Ax= 0, where An is the lattice and x is the vector of questions. The invalid space can be utilized to decide if an arrangement of straight conditions is steady or not, and to find the reason for the arrangement space. An internet based invalid space number cruncher permits clients to enter a network and get the invalid space, as well as different properties like the position, determinant, and eigenvalues of the framework. This can be helpful for understudies and experts in fields like science, physical science, and designing who need to address frameworks of straight conditions and dissect the properties of networks.

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Answer:

-3(2) = -6

Step-by-step explanation:

Simply multiply -3 and 2 to check his answer.

Answer:

-6 = -3*2

Step-by-step explanation:

–6 ÷ 2 = -3

Multiply each side by 2

–6 ÷ 2*2 = -3*2

-6 = -3*2

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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Answer:

Sunday

Step-by-step explanation:

hello

3 corresponds to Wednesday

3+221 = 224 = 32*7+0

so 3+221 is 0 in 7 day clock arithmetic

0 corresponds to Sunday

hope this helps

Greetings from Brasil...

Let's place the triangle in a Cartesian Plane - see attached figure.

We have:

A(1; 2)

B(3; 1)

C(6; 3)

1 - rotation

Specifically for a 90° rotation, we will use the expression

then

A'(-2; 1)

B'(-1; 3)

C'(-3; 6)

2 - translation

For a translation, we will add n units in all coordinates. (instead of adding, we could too subtract)

Let's consider n = 2, so

A''(3; 4)

B''(5; 3)

C''(8; 5)

3 - reflection

No way. We have to draw the original figure and reflect it.  Let's use the Y axis as the reflection axis.

See the attachments

Answer:

See attachments.

Step-by-step explanation:

Rotation, translation and reflection are all examples of transformations  A transformation is a way by which the size or position of a shape is changed.

(See attachment 1)

Rotation turns a shape around a fixed point called the center of rotation.

(See attachment 2)

A translation moves a shape left, right, up or down.

Every point on the original shape is translated (moved) the same distance in the same direction.

(See attachment 3)

A shape can be reflected across a line of reflection.

Every point on the reflected shape is the same distance from the line of reflection as the corresponding points on the original shape.

The lines joining the points on the original shape and the corresponding points on the reflected shape are perpendicular to the line of reflection.

All three transformations have been drawn on one grid in attachment 4.

Answer:  

42,893 + 2,432,743 = 2,475,636

, Hope this helps :)

Have a great day!!

Answer:

\(\sf 42893+2432743\)

\(\sf =2475636\)

Answer:

1.) Triangle ABC is congruent to Triangle CDA because of the SAS theorem

2.) Triangle JHG is congruent to Triangle LKH because of the SSS theorem

Step-by-step explanation:

Alright. Let's start with the 1st figure. How do we prove that triangles ABC and CDA (they are named properly) are congruent? First, we can see that segments BC and AD have congruent markings, so that can help us. We also see a parallel marking for those segments as well, meaning that the diagonal AC is also a transversal for those parallel segments. That means we can say that angle CAD is congruent to angle ACB because of the alternate interior angles theorem. Then, the 2 triangles also share the side AC (reflexive property).

So, we have 2 congruent sides and 1 congruent angle for each triangle. And in the way they are listed, this makes the triangles congruent by the SAS theorem since the angle is adjacent to the 2 sides that are congruent.

The second figure is way easier. As you can clearly see by the congruent markings on the diagram, all the sides on one triangle are congruent to the other. So, since there are 3 sides congruent, we can say the triangles JHG and LKH are congruent by the SSS theorem.

Step-by-step explanation:

a)ASA .

if any 2 angles and a side of a triangle are equal to the corresponding the angles and side of the other triangle , then the two triangles are congruent.

BC : AD .

b) SSS

IF the 3 sides of a triangle are equal to the 3 corresponding sides of the other triangle ,then the two triangles are congruent.

JG:HL

JH :LK

HG:HK

Answer:

Step-by-step explanation: 17/5

Given:

The inequality is \(x<56\).

To find:

The correct situation for the given inequality.

Solution:

Tina's dog weighed 56 pounds two months ago. He gained weight and weighs x pounds now. It means, weighs x pounds is more than 56 pounds.

\(x>56\)

So, option A is incorrect.

Tina has x dollars. She has more than enough money to buy a camera that costs $56. It means, amount $x is more than required amount $56.

\(x>56\)

So, option B is incorrect.

Tina walks for 56 minutes. She walks for the same amount of time as her sister, who walks for x minutes. It means, x is equal to 56.

\(x=56\)

So, option C is incorrect.

Tina's height is x inches. She is shorter than her brother, whose height is 56 inches. It means, Tina's height is x inches is less than her brother's height, i.e., 56 inches.

\(x<56\)

Therefore, the correct option is D.

Answer:

11

Step-by-step explanation:

I'm in K12 and this is right

A reason not to use a chi-square test of homogeneity to analyze a set of data is if the assumptions of the test are not met. These assumptions include:

1. The data must be categorical, meaning it consists of counts or frequencies in different categories.

2. The sample size must be large enough, with an expected frequency of at least 5 in each cell of the contingency table.

3. The observations must be independent, meaning each data point should not influence the others.

If any of these assumptions are not met, it may not be appropriate to use a chi-square test of homogeneity to analyze the data. Instead, you may need to consider alternative statistical methods that better suit your data and research question.

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Answer:

(6,7)

Step-by-step explanation:

Let B(x,y).

By the midpoint formula,

So, the coordinates of B are (6,7).

a. The system of inequalities that models the situation is:

The equation for the cost is: C(x,y) = 0.2x + 0.4y.

b. The graph is given by the image at the end of the answer, and the vertices are (4,4), (10,4) and (10,7).

c. The number of clay beads and glass beads in a necklace that costs the least to make is: 4 clay beads and 4 glass beads.

The variables for the system are presented as follows:

Each necklace has no more than 10 clay beads and at least 4 glass beads, hence the constraints are listed as follows:

The numbers of each beads are countable amounts, meaning that they cannot assume negative values.

Four times the number of glass beads is less than or equal to 8 more than twice the number of clay beads, hence the final constraint is of:

4y ≤ 8 + 2x.

Each clay bead costs $0.20 and each glass bead costs $0.40, hence the cost function is given as follows:

C(x,y) = 0.2x + 0.4y.

Using the three constraints, the graph is given by the image at the end of the answer, and the vertices are as follows:

The minimum cost is at the vertex with the smallest numeric value of the cost function, hence the numeric values are listed as follows:

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To determine the landing point, we need to balance the time it takes to row the boat with the time it takes to walk.

The woman's rowing speed is 3 km/h, and her walking speed is denoted as w km/h. Let d be the distance from the island to the landing point, and x be the distance she needs to walk from the landing point to reach the town. The total time for rowing (d/3) should be equal to the total time for walking [(12 - x)/w] in order to arrive at the town.

By rearranging the equation, we find that the landing point should be 12 km minus the distance covered by walking (d * w) divided by 3.

The exact value of x depends on the specific distances involved and the woman's walking speed, which are not provided in the given information.


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Answer:

1 pound for $3.75

if you divide $15.63 by 4, you would get 3.9075, which is more than $3.75

Step-by-step explanation:

Answer:

He needs to get $178 to average at least $150.

Step-by-step explanation:

105, 132, 165, 170, and 178 has an average of 150.

Hence,\($V_1(f) = 0$ and $V_2(f) = 0$ for $|f| > a$.\) \($V(f) = \frac{1}{2\pi} \int_{-a}^{a} V_1(\lambda) V_2(f-\lambda) d\lambda$.\)

is the convolution formula in the irequency domain

The given functions are

\($V_1(f) = F[v_1(t)]$ and $V_2(f) = F[v_2(t)]$. Let $V(f) = F[v_1(t) v_2(t)]$.\)

We need to show that

\($V(f) = \frac{1}{2\pi} \int_{-a}^{a} V_1(\lambda) V_2(f-\lambda) d\lambda$.\)

The convolution theorem states that if f and g are two integrable functions then

\($F[f * g] = F[f] \cdot F[g]$\)

where * denotes the convolution operation. We know that the Fourier transform is a linear operator.

Therefore,

\($F[v_1(t)v_2(t)] = F[v_1(t)] * F[v_2(t)]$\)

Thus,

\($V(f) = \frac{1}{2\pi} \int_{-\infty}^{\infty} V_1(\lambda) V_2(f-\lambda) d\lambda$\)

Now we need to replace the limits of integration by a to obtain the desired result.

Since \($V_1(f)$\) and \($V_2(f)$\)are Fourier transforms of time-domain signals \($v_1(t)$\) and \($v_2(t)$,\)

respectively,

they are band-limited to \($[-a, a]$.\)

Hence,\($V_1(f) = 0$ and $V_2(f) = 0$ for $|f| > a$.\)

Therefore, \($V(f) = \frac{1}{2\pi} \int_{-a}^{a} V_1(\lambda) V_2(f-\lambda) d\lambda$.\)

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The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

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Therefore, the measures of VP, VQ, and VR are: 5 units, 7 units and 12 units.

A triangle is a two-dimensional geometric shape that is formed by connecting three non-collinear points with straight line segments. The points are called the vertices of the triangle, and the line segments that connect them are called the sides of the triangle. Triangles are one of the most basic shapes in geometry, and they have many interesting properties and applications in mathematics, science, and engineering. Some common types of triangles include equilateral triangles (where all three sides have the same length), isosceles triangles (where two sides have the same length), and scalene triangles (where no two sides have the same length).

Here,

To solve this problem, we can use the following properties of the centroid of a triangle:

The centroid of a triangle divides each median into two segments, one that is twice as long as the other.

The centroid is located two-thirds of the way from each vertex to the midpoint of the opposite side.

Let's label some additional points on the figure:

Let M be the midpoint of SR.

Let N be the midpoint of PQ.

Let W be the intersection of PT and SR.

Using property 1 above, we know that VW is twice as long as VU. Therefore, VW = 2 * VU = 16.

Using property 2 above, we know that VN = 2 * VQ and VM = 2 * VP. Since N is the midpoint of PQ, we have PQ = 2 * PN = 2 * VN / 3. Similarly, SR = 2 * SM = 2 * VM / 3.

Therefore:

PQ = 2 * VN / 3 = 2 * 3 * VP / 2 = 3 * VP

SR = 2 * VM / 3 = 2 * 3 * VQ / 2 = 3 * VQ

Now we can set up a system of equations to solve for VP, VQ, and VR:

VP + VQ + VR = V

PQ = 3 * VP

SR = 3 * VQ

VW = 16

PW + WQ = 15

We can substitute the second and third equations into the first equation to get:

4 * VP + 4 * VQ + VR = V

Using the fact that VW = 16, we can write:

PW = PT - TW = PT - VW/2 = 15 - 8 = 7

WQ = SR - SW = SR - VW/2 = 21 - 8 = 13

Substituting these values into the last equation, we get:

3 * VP + 3 * VQ = 8 + 2 * PW + 2 * WQ = 8 + 2 * 7 + 2 * 13 = 48

Now we can substitute this equation into the equation we derived earlier and solve for VR:

4 * VP + 4 * VQ + VR = V

4 * VP + 4 * VQ + (V - VP - VQ) = V

3 * VP + 3 * VQ = V

VR = V - 3 * VP - 3 * VQ

VR = V - 3/4 * (3 * VP + 3 * VQ)

VR = V - 9/4 * VP - 9/4 * VQ

VR = V - 9/4 * (8 * VP + 8 * VQ) / 4

VR = V - 18

Finally, we can substitute VP = PQ / 3 and VQ = SR / 3 into the equation above to get:

VR = V - 18

VR = VP + VQ

VR = PQ/3 + SR/3

VR = 15/3 + 21/3

VR = 12

Therefore, the measures of VP, VQ, and VR are:

VP = PQ / 3 = 15 / 3 = 5

VQ = SR / 3 = 21 / 3 = 7

VR = 12

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Answer:

The cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step by step:

A party rental company has chairs and tables for rent. The total cost to rent

A party rental company has chairs and tables for rent. The total cost to rent 4

chairs and 8

tables is $73

. The total cost to rent 2

chairs and 3

tables is $28

. What is the cost to rent each chair and each table?

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Edward C. answered • 02/10/15

TUTOR 5.0 (377)

Caltech Grad for math tutoring: Algebra through Calculus

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Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

The cost to rent each chair and each table are $1 and $8.5 respectively.

Suppose the price of one chair =x

The price of one table =y

Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.

According to the question, the total cost to rent 5 chairs and 2 tables is $22.

5x+2y=22

Multiplying it by 4 on both sides

20x+8y=88.......(1)

The total cost to rent 3 chairs and 8 tables is $71.

3x+8y=71.........(2)

Subtracting (2) from (1)

17x=17

x=1

So, y=8.5

So, the price of 1 chair =$1

the price of 1 table =$8.5

Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.

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The Solution:

Given the function:

We are asked to find and interpret f(10).

Therefore, the correct answer is 190.26

This means when x=10, f(10)=190.26

Answer:

2,700 degrees.

Step-by-step explanation:

17 gon is a heptadecagon.

The formula for the sum of interior angles is \((n-2)*180\) degrees.

\((17-2)*180=\\15*180=\\2700\)

Answer:

-28

Step-by-step explanation: