I need some help with this

Answer:

a

Step-by-step explanation:

Razorback's acceleration is 1.25 m/sec².

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities.

Now it is given that,

Distance ran by Razorback, S = 40 m

Time taken, t = 8 seconds

Since the equation of motion is given as,

S = ut + 1/2at²

Now Razorback was at rest, therefore u = 0

⇒ 40 = 0 + 1/2a(8)²

⇒ 64a = 80

⇒ a = 80/64

⇒ a = 1.25 m/sec²

Thus, Razorback's acceleration is 1.25 m/sec².

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C.) Talia needs to factor out a negative from one of the groups so the binomials will be the same.

Answer:

Multiple the 1 stick of butter like 1 (1/4) and the answer will solve our problem

Din forget to thank me later

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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Answer:

EF = 2.37

Step-by-step explanation:

It's given that these are similar triangles.

In similar triangles, the side lengths are proportional.

We can write the following equation based on this information:

\( \frac{11}{3.3} = \frac{7.9}{ef} \)

11EF = 27.03

EF = 2.37

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

Answer:

-2x + 3y + z + 1

Step-by-step explanation:

Answer:

Side e = 5.7

Step-by-step explanation:

Given

d = 10

f = 7

<E = 34°

Required

Calculate length of side e

This can be calculated using law of cosine as follows;

e² = d² + f² - 2 * d * f * Cos(<E)

Substitute 10 for d, 7 for f and 34 for <E. This gives

e² = 10² + 7² - 2 * 10 * 7 * cos34

e² = 100 + 49 - 140 * cos34

e² = 100 + 49 - 140 * 0.8290

e² = 100 + 49 - 116.06

e² = 32.94

Take Square Root of both sides

e = √32.94

e = 5.7 (Approximated)

The values of A is 5, B is -1 and C is -11

We have been asked to represent the equation in the straight line form of Ax+By=C

we are given the equation of the form: y+4=5(x+3)

Now simplifying the equation,

y+4=5x+15

5x+15=y+4

5x-y=4-15

5x-y=-11

Now comparing with Ax+By=C form, to get the values of A,B and C

A=5,B=-1,C=-11

Thus, the values of A is 5, B is -1 and C is -11

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Main Answer: 5x-y=-11

Concept and definitions should be there:

A number with no fractional part (no decimals).

Includes:

• the counting numbers {1, 2, 3, ...},

• zero {0},

• and the negative of the counting numbers {-1, -2, -3, ...}

We can write them all down like this: {..., -3, -2, -1, 0, 1, 2, 3, ...}

Given data:

the equation in Ax+By=C form. Use integers for A, B, and C.

Solving part

We have been asked to represent the equation in the straight line form of Ax+By=C

Now simplifying the equation,

⇒y+4=5x+15

⇒5x+15=y+4

⇒5x-y=4-15

⇒5x-y=-11

Final Answer: 5x-y=-11

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Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.

Here,

To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:

7 1/4 = 28/4 + 1/4

= 29/4

4 5/12 = 48/12 + 5/12

= 53/12

Now, we can add the fractions:

=29/4 + 53/12

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:

29/4 × 3/3 = 87/12

53/12 × 1/1 = 53/12

Now we have the same denominator, so we can add the numerators:

87/12 + 53/12 = 140/12

We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:

140/12 ÷ 4/4 = 35/3

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Answer:

6 hours - 5 = 2, so 15 = 6 , as its constant

For the function f(x) = (x + 6)°, there are no critical numbers and no relative maxima or minima. The function is an increasing function for all values of x, and it has a global minimum at x = -6.

To find the critical numbers for the function f(x) = (x + 6)°, we need to set its first derivative equal to zero and solve for x. So,
f(x) = (x + 6)°
f'(x) = 1
Setting f'(x) = 0 gives us no solutions, which means that there are no critical numbers for this function.
Since there are no critical numbers, we cannot use the second-derivative test or the first derivative test to decide whether the critical numbers lead to relative maxima or relative minima. However, we can still determine the nature of the function by looking at its graph or by analyzing its behavior for different values of x.
From the function f(x) = (x + 6)°, we can see that it is an increasing function for all values of x. Therefore, there are no relative maxima or minima for this function. In fact, the function has a global minimum at x = -6, where it takes the value of 0.

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Answer:

B. 20.41

Step-by-step explanation:

I hope this helps! pls brainliest:D

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A is D. The statement is false because the columns of an echelon form B of A are not necessarily in the column space of A.

To understand why this is the case, we need to first define what an echelon form is. An echelon form is a special type of matrix that has certain properties, including having all zero rows at the bottom, and each pivot (non-zero) element located in a higher row than the pivot element in the previous column.

When we perform row operations on a matrix to put it into echelon form, we are essentially transforming it into a simpler form that allows us to solve systems of linear equations more easily.

Now, let's consider the statement in the question: "If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A." The column space of a matrix A, denoted as Col A, is the set of all possible linear combinations of the columns of A. In other words, it is the space spanned by the columns of A.

While it is true that the pivot columns of an echelon form B of A are linearly independent, meaning that they form a basis for the row space of B, they may not necessarily be in the column space of A. This is because the row operations used to put A into echelon form do not affect the column space of A. Therefore, it is possible for the pivot columns of B to be a basis for the row space of B, but not for the column space of A.

In summary, the statement is false because the columns of an echelon form B of A are not necessarily in the column space of A. While the pivot columns of B form a basis for the row space of B, they may not form a basis for the column space of A. Therefore, the correct option is D.

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Ué é só colocar 6x vezes 2

If you failed to pay the minimum payment by the due date and are now being charged the penalty APR of 28.99%, your monthly interest charge on a balance of $1800 would be approximately $518.82. This is calculated as follows:

However, it is important to note that this calculation is an estimate and the actual amount of interest you would owe in one month could be different, depending on factors such as the number of days in the billing period and the daily interest rate. It is also worth noting that you were charged $6.31 in interest for purchases, which is separate from the interest charged on your unpaid balance.

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if we take 518 to be the 100%, what is 180 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 518&100\\ 180&x \end{array}\implies \cfrac{518}{180}=\cfrac{100}{x}\implies \cfrac{259}{90}=\cfrac{100}{x} \\\\\\ 259x=9000\implies x=\cfrac{9000}{259}\implies x\approx 35\)

We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

The amount of money in the savings account depends on how much time has passed since the account was opened. Then, the amount of money is the depenent variable, and the amount of time is the independent variable.

Then, money is a function of time.

The price of the rechargeable drill in the home improvement stores is P(m) = 1.2m + 4, where m is the manufacturing total cost.

P(m) = 1.2m + 4

P(m) = 1.2(manufacturing cost) + 4

P(m) = 1.2m + 4

The manufacturer of tools charges $4 more than its manufacturing cost for a rechargeable drill to a chain of home improvement stores. Following that, the chain sells each drill for 120 percent of what it paid the manufacturer.. Therefore, the price of the rechargeable drill in the home improvement stores can be represented by the function P(m), where m is the manufacturing cost of the drill. The equation P(m) = 1.2m + 4 shows that the price of the rechargeable drill in the home improvement stores is equal to 1.2 times the manufacturing cost plus $4. This equation indicates that the manufacturer of tools charges $4 more than its manufacturing cost and the home improvement stores then increase the price of the drill by 20% of the price they paid to the manufacturer. Therefore, the total cost of the rechargeable drill in the home improvement stores is 1.2m + 4, where m is the manufacturing cost of the drill.

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12

Yes, it is possible to calculate the length of the altitude to the other side of the triangle. To do so, use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this triangle, the hypotenuse is the side of length 13 and the other two sides are the side of length 5 and the altitude to it. So, the equation to use is:

132 = 52 + altitude2

Solving for altitude gives:

altitude2 = 132 - 52

altitude2 = 169 - 25

altitude2 = 144

altitude = √144 = 12

Therefore, the length of the altitude to the side of the triangle with length 13 is 12.

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Answer: W=p-2L/2

Step-by-step explanation:

all you got to do is combine like terms until they get to the simplest form.

The resolving power of a 4x objective with a numerical aperture of 0.275 is approximately 0.57 micrometers.

The resolving power (RP) of an objective lens can be calculated using the formula: RP = λ / (2 * NA), where λ is the wavelength of light and NA is the numerical aperture.

Assuming a typical wavelength of visible light (λ) is 550 nanometers (0.55 micrometers), we substitute the values into the formula: RP = 0.55 / (2 * 0.275).

Performing the calculations, we find: RP ≈ 0.55 / 0.55 = 1.

Therefore, the resolving power of a 4x objective with a numerical aperture of 0.275 is approximately 0.57 micrometers.

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Step-by-step explanation:

I'm not really sure if this is the correct answer but I tried

Answer: Jan had 2 more gallons of orange juice than matt

Explanation: each are making 10 gallons

so add 8 and 2 on jans chart since we get 10 gall total

and for Matt's chart we are doing the same thing add 6 and 4

but since we are only calculating how much more oj they had we basically subtract 8 with 6

and there you go!

srry if i explained it wrong

Answer:

2,075 = 5 × 5 × 83

√2,075 = 5√83 = about 45.55

Okay so we have 18 ppl we want 4 cookies per person

in one batch we can make 24

first multiple 18 by 4 or vice versa

answer is 72

now divide 72 by 24

answer is 3

we need 3 batches to make 4 cookies per person

The cosine of the angle of intersection is approximately 0.965.

The point of intersection between the curves r1(t)=⟨t,3−t,9 t2⟩ and r2(s)=⟨1−s,s 2,s2⟩ can be found by setting their respective components equal to each other and solving for the values of t and s. This gives us the following system of equations:
t = 1 - s
3 - t = s^2
9t^2 = s^2

Solving for t in the first equation and substituting into the second equation gives us:
3 - (1 - s) = s^2
s^2 - s - 2 = 0

Using the quadratic formula, we find that s = 2 or s = -1. Substituting these values back into the first equation gives us t = -1 or t = 2.

The point of intersection is therefore (x,y,z) = (-1,2,9) or (2,1,4).
To find the angle of intersection, we can use the dot product formula:
cos(θ) = (r1(t) · r2(s)) / (|r1(t)| |r2(s)|)

Substituting in the values of t and s from the point of intersection and simplifying gives us:
cos(θ) = (-1)(1-2) + (2)(2) + (9)(4) / (√((-1)^2 + 2^2 + 9^2) √((1-2)^2 + 2^2 + 4^2))
cos(θ) = 41 / (√86 √21)
cos(θ) = 41 / √1806

Therefore, the cosine of the angle of intersection is approximately 0.965.

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