It cost Zachary $7.00 to send 140 text messages. How many text messages did he send if he spent $0.85?

9514 1404 393

Answer:

  x ≥ 1/5

Step-by-step explanation:

The expression will evaluate to a real number only when the value under the radical is not negative.

  -3(1 -5x) ≥ 0 . . . . the condition that makes the expression "make sense"

  -3 +15x ≥ 0 . . . . . use the distributive property

  15x ≥ 3 . . . . . . . .  add 3

  x ≥ 3/15 . . . . . . . divide by 15

  x ≥ 1/5 . . . . . . . . . reduce the fraction

The length of the inseam to be removed from the pant is 3 2 / 3 inches.

The length of the pant he bought is 34 inches and it was too long.

He wants the length to be 30 1 / 3 inches long.

Therefore, the amount of length to be removed can be calculated as follows;

34 - 30 1 / 3

\(30\frac{1}{3} = \frac{91}{3}\)

Hence,

\(34-\frac{91}{3}=\frac{102-91}{3} =\frac{11}{3}=3\frac{2}{3} inches\)

Therefore, the number to be removed is 3 2 / 3 inches

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Answer:

hahahhahhahahahhahaahshshhshf hffhfh hfhfhh hfhfhfhfhffh

Answer:

30 degrees

Step-by-step explanation:

Complimentary = 90 degrees

90 - 60 = 30 degrees

Answer:

c.1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

every thing if false

Step-by-step explanation:

We have shown that 13 is a quadratic residue modulo p if and only if p = 2, p = 13, or p is congruent to 1, 3, 4, 9, 10, or 12 modulo 13.

To prove that 13 is a quadratic residue modulo p if and only if p = 2, p = 13, or p is congruent to 1, 3, 4, 9, 10, or 12 modulo 13, we can utilize the quadratic reciprocity law.

According to the quadratic reciprocity law, if p and q are distinct odd primes, then the Legendre symbol (a/p) satisfies the following rules:

(a/p) ≡ a^((p-1)/2) mod p

If p ≡ 1 or 7 (mod 8), then (2/p) = 1 if p ≡ ±1 (mod 8) and (2/p) = -1 if p ≡ ±3 (mod 8)

If p ≡ 3 or 5 (mod 8), then (2/p) = -1 if p ≡ ±1 (mod 8) and (2/p) = 1 if p ≡ ±3 (mod 8)

Let's analyze the cases:

Case 1: p = 2

For p = 2, it can be easily verified that 13 is a quadratic residue modulo 2.

Case 2: p = 13

For p = 13, we have (13/13) ≡ 13^6 ≡ 1 (mod 13), so 13 is a quadratic residue modulo 13.

Case 3: p ≡ 1, 3, 4, 9, 10, or 12 (mod 13)

For these values of p, we can apply the quadratic reciprocity law to determine if 13 is a quadratic residue modulo p. Specifically, we need to consider the Legendre symbol (13/p).

Using the quadratic reciprocity law and the rules mentioned earlier, we can simplify the cases and verify that for p ≡ 1, 3, 4, 9, 10, or 12 (mod 13), (13/p) is equal to 1, indicating that 13 is a quadratic residue modulo p.

Case 4: Other values of p

For any other value of p not covered in the previous cases, (13/p) will be equal to -1, indicating that 13 is not a quadratic residue modulo p.

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The Expression that have a product greater than 4 is one hundred  and one hundredths times four , the correct option is (d).

In the question ,

four expressions are given as

(a) four times ninety-nine hundredths

= 4 × 99/100

= 4 × 0.99

= 3.96

(b) four times eight-eighths

= 4 × 8/8

= 4 × 1

= 4

(c) three-fourths times four

= 3/4 × 4

= 3

(d) one hundred  and one hundredths times four

= 1.01 × 4

= 4.04

Therefore , The Expression that have a product greater than 4 is one hundred and one hundredths times four .

The given question is incomplete , the complete question is

Which of the following expressions will have a product greater than 4?

(a) four times ninety-nine hundredths

(b) four times eight-eighths

(c) three-fourths times four

(d) one hundred and one hundredths times four

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Answer:

Step-by-step explanation:

Conclusion:

Therefore, 32% of 150 is 48.

Hoped this helped.

\(GeniusUser\)

The correct order of steps for bisecting the given angle ∠ABC is (A) (E)(C)(F)(B)(D)(A).

In geometry, an angle bisector is a line that divides an angle into two equal angles.

The term "bisector" refers to a device that divides an object or a shape into two equal halves.

An angle bisector is a ray that divides an angle into two identical segments of the same length.

So, rearrange the statements in the table in the proper order for the angle bisector.

(E) Swing an arc that intersects rays BA and BC by positioning the compass on point B.

(C) Put point D at the arc's intersection with ray BA and point E at the arc's junction with ray BC.

(F) Draw an arc inside the angle by setting the compass on point D.

(B) Place the compass on the point while maintaining the same distance inside the angle, and trace an arc.

(D) Place point F at the location where the arcs formed by points D and E meet.

(A) From point B to point F, draw a beam.

Therefore, the correct order of steps for bisecting the given angle ∠ABC is (A) (E)(C)(F)(B)(D)(A).

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Correct question:
What is the correct order of steps for bisecting angle ABC?

a. draw a ray from point b through point f.

b. keeping the compass the same distance, place the compass on point e, and draw an arc inside the angle.

c. place point d on the intersection of the arc on ray ba and point e on the intersection of the arc with ray bc.

d. place point f on the intersection of the arcs created from points d and e.

e. place the compass on point b, and swing an arc that intersects rays ba and bc.

f. place the compass on point d, and draw an arc inside the angle.

(A)  e c f b d a

(B) f c e b d a

(C) e d f b c a

(D) f d e b c a

The correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

The process of changing the location of the image on the coordinate system will be known as the translation.

Here we have the Trapezoid ABCD  after a translation right 9 and up 2.

They result in congruent figures

The Match of the corresponding parts are given as:

\(\rm AD=PS\\\\AB=PQ,\\ \\BC=QR,\\ \\AD=PS.\)

Hence the correct match for the sides of the trapezoid will be AD=PS, AB=PQ, BC=QR, AD=PS.

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Answer:

\(\frac{s}{2t}\)

Step-by-step explanation:

When you have exponents above a like term and they are being multiplied together, you add them.

For example:

\(a^{x} *a^{y} = a^{x + y}\)

So let's group like terms in the numerator:

\(4r^{3} r^{-5} s^{-2} s^{-1}t\)   We can add terms like in the example.

\(4 r^{-2} s^{-3} t\)

Let's rearrange the denominator.

\(8r^{-2} s^{-4} t^{2}\)

Now we have:

\(\frac{4r^{-2} s^{-3}t}{8 r^{-2} s^{-4} t^{2} }\)  Cancel like terms

4/8 = 1/2    

\(r^{-2} /r^{-2}\) = 1  So it cancels

\(s^{-3} / s^{-4} = s^{-1}\) = s Since s is raised to the -1 it goes on top and becomes s.

\(t / t^{2} = 1/t\)

Now we combine everything back together:

\(\frac{s}{2t}\)

Answer:

17

Step-by-step explanation:

IQR = Q3 - Q1

1st Quartile: 13

3rd Quartile: 30

IQR = 30 - 13 = 17

The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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Answer:

From 3:23-3:24

Step-by-step explanation:

Answer:

128 miles

Step-by-step explanation:

1.50×100=$150

Now,

$206-$150=$56

As for additional miles it's plus $0.50 i .e $2

$56/2=28

Therefore,$150=100

$ 56=28

The first choice is the correct result

we have

f(x) = |x – 1] + 2

g(x) = -2f(x) + 8

substitute the value of f(x) in g(x)

so

g(x)=2(|x – 1] + 2) +8

g(x)=2|x – 1] + 4 +8

g(x)=2|x – 1] + 12

Using a graphing tool

see the attached image

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer:

3.333 m

Step-by-step explanation:

Divide speed by frequency

3 x 10^8 / 9 x 10^7

Answer:

3691 pounds

Step-by-step explanation:

Given: Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter

To find: Amount that Colin will have after 10 years

Solution:

Let P, r, n denotes principal, rate of interest and time period

For the first 4 years:

\(P=\£\,2350\,,\,r=4.2\%\,,\,n=4\)

Total amount after 4 years = \(P\left ( 1+\frac{r}{100} \right )^n=2350\left ( 1+\frac{4.2}{100} \right )^4=\£ 2770.38\)

For the next 6 years:

\(P=\£\,2770.38\,,\,r=4.9\%\,,\,n=6\)

Total amount after 6 years = \(P\left ( 1+\frac{r}{100} \right )^n=2770.38\left ( 1+\frac{4.9}{100} \right )^6=3691.41\approx \£\,3691\)

Answer:

y=5.6

Step-by-step explanation:

1 + 2y = 11.08 +0.2y

Move the values w/ y all to one side and the ones without to the other side

1+ 2y = 11.08 + 0.2y

-0.2y             - 0.2y

-1        -1

1.8y=10.08

Divide by 1.8

y=5.6

what in your opinion is the moral in the story ?

Answer:

The answer is 410

Step-by-step explanation:

You have to times 50 by 5 then 0.80 times 200 then add them i hope its right <3

Yes, His computation should be 150% of 330, thus his estimate is accurate. So option D is true.

By dividing the desired value by the entire value and multiplying by 100, the percentage may be computed.

Example:

Required percentage value = a

total value = b

Percentage = \(\dfrac{a}{b} \times 100\)

We have,

Aaron estimated the value, of 148% of 333 is 495.

This can be written as,

\(\dfrac{148}{100} \times 333\)

\(= 492.84\)

\(= 493\\\\\)

Estimating the number, this should be equal to the,

148% ≈ 150%

333 ≈ 330

So it is equal to,

150% of 330

This can be written as,

\(\dfrac{150}{100} \times 330\)

\(= 495\)

Therefore, his estimate is reasonable because his calculation should be 150% of 330. So option D is true.

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Answer:

Following the order of operations and combining like terms, we get:

3⋅15+4⋅15−5⋅15 = 45 + 60 - 75 = 30

And for the second expression, factoring out the common factor (x-2) and simplifying, we get:

3(x-2) + 4(x-2) - 5(x-2) = (3+4-5)(x-2) = 2(x-2) = 2x-4

Step-by-step explanation: