Write each number as a product using gcf as a factor sipping distributive property the numbers are 28 49 77 and 3 gcf

Answer:0.8

Step-by-step explanation:

0.8 can be used for 1 student and 40. :)

The values are;

i, For 1 student, it would take = 1 1/5 days

ii. For 40 students, 48 days

First, we need to know that proportion is an equation made equal to another.

From the information given, we have that;

50 students in a hostel had provisions for 60 days.

This is represented as;

50 students = 60 days

Then, we get that;

i, If 50 students = 60 days

1 students = x days

cross multiply the values

x = 60/50

x = 1 1/5 days

ii.  If 50 students = 60 days

40 students = x days

x = 60(40)/50

divide the values

x = 48 days

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The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".

It follows from the task content that the sentence which represents the equation given be determined.

First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.

Also, the expression "an" can be interpreted as the product of n and another number a.

Therefore, the whole equation; 2(3+5n)=an can be interpreted as;

"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".

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Answer:

Step-by-step explanation:

87

99

128

Answer:

162.4$

Step-by-step explanation:

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Answer:

x = 5

Step-by-step explanation:

2(x+5) =20  Distribute the 2

2(x) + 2(5) = 20

2x + 10 = 20  Subtract 10 from both sides of the equation

2x = 10  Divide both sides by 2

x = 5

Answer:

5

Step-by-step explanation:

2(x + 5) = 20 Divide both sides by 2

x + 5 = 10

x = 10 - 5

x = 5

Answer: n is greater than m

Step-by-step explanation:

if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)

so n is greater (remember its negative so higher numbers are actually lesser in value)

Hope this helped... :)

For given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

In this question, we have been given an equation y = ln(3 - 4 cos(x))​

We need to differentiate y = ln(3-4cosx)​

dy/dx

= d/dx(ln(3 - 4 cos(x))​)

= 1/(3 - 4 cos(x))​ * d/dx(3 - 4cos(x))               .......(by Chain rule)

= 1/(3 - 4 cos(x))​ * [4 sin(x)]

= 4sin(x) / (3 - 4cos(x))

Therefore, for given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

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Answer:

Using transformation rules, the transformation can also be stated by option A, that is (x, y) → (–x, –y).

------------------------------------

The first option, of (x, y) → (–x, –y), is a rotation of 180º degrees around the origin, which is the transformation made on the pentagon.

As for the other transformations:

The second option, (x, y) → (–y –x), is a reflection around the line y = -x.

The third option, of (x, y) → (x, –y), is a reflection across the x-axis.

The fourth option, of (x, y) → (–x, y), is a reflection across the y-axis.

Step-by-step explanation:

The margin of error tells you how many percentage points your results differ from the true population value.

The margin of error is a close guess at a given level of probability about the confidence interval. It is denoted as a tiny percentage that is allowed for in the event of an error.

The amount of uncertainty associated with a survey result is referred to as the margin of error. It indicates how confident you can be in the outcome's accuracy. A smaller margin of error indicates that your survey is more precise. A confidence level is the probability that a survey will yield the same results if repeated.

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The value of the test statistic of the hypotheses is; -17.969

The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.

We are given;

Sample size; n = 1160

Sample proportion; p^ = 88% = 0.88

Population proportion; p = 97% = 0.97

The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97

The null hypothesis is expressed as;

H₀: p = 0.97

The alternative hypothesis is expressed as;

Hₐ: p < 0.97

The value of the test-statistic is gotten from the formula;

z = (p^ - p)/(√(p(1 - p)/n))

z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))

z = -17.969

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Answer:

Account A is incorrect the interest that you would earn is $8.60, not $860.00

Step-by-step explanation:

well now, let's recall the remainder theorem, check your textbook since we know you're Da Bomb and love to check that theorem.

well, we know a factor is (x-2) for the polynomial f(x), that means that f(2) =  0, so let's use that

[tex]f(x)=x^3+x^2-5ax+2a^2\hspace{5em}\stackrel{\textit{a factor of f(x)}}{(x-2)}\qquad thus\qquad f(2)=0 \\\\\\ 0=(2)^3+(2)^2-5a(2)+2a^2\implies 0=8+4-10a+2a^2 \\\\\\ 0=2a^2-10a+12\implies 0=2(a^2-5a+6) \\\\\\ 0=a^2-5a+6\implies 0=(a-2)(a-3)\implies a= \begin{cases} 2\\ 3 \end{cases}[/tex]

The largest multiple of 30 that is less than the number, 520, can be found to be 510.

To find the largest multiple that 30 has, which is also less than 520, first find the number of times that 30 can go into 520:

= 520 / 30

= 17.333

Then use this number to find the largest multiple below 520 by rounding 17.33 downwards to 17.

The multiple of 30 that is the largest and below 520 is then:

= 30 x Rounded down result of division of 520

= 30 x 17

= 510

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Answer:

150% = 132 cm, 25%= 22 cm, 100%= 88 cm

Given:

Height of Odalis = 132 cm

This height is 150%

Divided into 6 parts.

To find: Different percentages of Dallas's Height

Solution:

Dalia's Height = Odalis height * (100/150)

= 132 cm * (2/3)

= 88 cm.

150% of Dallas's Height is 132 cm.

25% of Dalia's Height =  1/4 * 88 = 22 cm

100% of Dalia's Height = 88 cm.

This can also be taken by parts.

6 parts =  150%

1 part =  150/6 = 25%

And 6 parts = 132 cm,

so, 1 part = 132/6 = 22cm.

so , 25% = 1 part= 22cm.

100% = 4 parts = 22*4 = 88 cm.

150% = 6 parts = 22*6 = 132 cm.

Hence, 150% = 132 cm

25%= 22 cm

100%= 88 cm

Step-by-step explanation:

Answer:The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.

132

Height (cm)

150%

Complete the table to show different percentages of Dalia's height.

Percentage

150% of Dalia's height

25% of Dalia's height

100% of Dalia's height

Step-by-step explanation: Just look at the awnser

The final solution of the inequality –2(5 – 4x) < 6x – 4 is x < 3.

Inequalities are expressions that have the <, >, ≤ and ≥ signs.

Therefore, let's solve the given inequality as follows:

–2(5 – 4x) < 6x – 4

open the brackets on the left side

–2(5 – 4x) < 6x – 4

-10 + 8x < 6x - 4

add 10 to both sides of the inequality

-10 + 8x < 6x - 4

-10 + 10 + 8x < 6x - 4 + 10

8x < 6x + 6

subtract 6x from both sides of the inequality

8x < 6x + 6

8x - 6x < 6x - 6x + 6

2x < 6

divide both sides of the inequality by 2

2x < 6

2x / 2 < 6 / 2

x < 3

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The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)

In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:

4 · p · (x - h) = (y - k)²

Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.

First, determine the coordinates of the vertex:

(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)

(h, k) = (0, 0)

Second, calculate the distance from the vertex to the focus:

p = 3 - 0

p = 3

Third, write the vertex form of the parabola:

y² = 12 · x

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After 35 years, Anthony's account is going to be worth $34193.12

The formula for the compound interest is given as

[tex]A = P(1 + r)^t[/tex]

Where we have the principal = 3000

the rate of interest = 7.2%

The period of time = 35 years

We have to input these values in the formula above so that we would have

A = 3000 ( 1 + 0.072)³⁵

A = 3000 x 11.398

= $34193.12

Hence we would have that after the period of 35 years, the account would be worth $34193.12

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Answer: The answer is D bc i did the test before hope you have a great day:]

Step-by-step explanation:

8

x

5

−

6

x

4

+

12

x

3

Answer:

y = x^2 + 6       given equation

y = m x + b        equation of straight line required

dy/dx = 2 x       tangent to given curve

dy/dx = slope = 2 * 5 = 10

Thus our line must be of the form

y = 10 x + b

31 = 10 * 5 + b       at the point required

b = 31 - 50 = -19

Then our final equation becomes

y = 10 x - 19

The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.

An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.

From the question, the expression P--> Q means that P = Q.

The statement that shows that a value is equivalent to the other;

x = 5, then 2x = 10

That is, X = 5 can also be written as follows;

2x = 10.

This is because, when 2x = 10 is simplified, X = 10/2 =5

Therefore, P =Q because both shears the same value and can be said to be equivalents.

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Answer:

a. 17 - 2 × 3 - 8 = 3

b. 33 ÷ 3 - 2 × 5 = 1

Step-by-step explanation:

a. 17 - 2 × 3 - 8 = 3

b. 33 ÷ 3 - 2 × 5 = 1

Answer:

x = 15

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side , then

x + 3 = [tex]\frac{1}{2}[/tex] × 36 = 18 ( subtract 3 from both sides )

x = 15

The 95% confidence interval for the distribution of the difference of proportions, using the z-distribution, is given as follows:

(0.11, 0.146).

The first step is finding the proportion and standard error for each sample, as follows:

For the distribution of differences, the mean and the standard error are given as follows:

The z-distribution is used as we are working with proportions, hence the bounds of the interval are given as follows:

p ± zs.

The critical value for a 95% confidence interval with the z-distribution is of z = 1.96.

Hence the lower bound of the interval is:

0.128 - 1.96 x 0.0092 = 0.11.

The upper bound of the interval is:

0.128 + 1.96 x 0.0092 = 0.146.

The information regarding each sample is given by the image at the end of the answer, and the problem asks for the 95% confidence interval for the differences.

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Answer:

[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]

b.  y = -6

c.  Minimum point at (1, -7).

d.  Domain:  (-∞, ∞)

e.  Range:  [-7, ∞)

f.  See attachment.

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=x^2-2x-6[/tex]

As per the question, use a graphing calculator to graph the given function.

The x-intercept(s) are the points at which the curve crosses the x-axis.

The y-intercept is the point at which the curve crosses the y-axis.

From inspection of the graph:

The domain of a function is the set of all possible input values (x-values).

The domain of the given function is unrestricted.

The range of a function is the set of all possible output values (y-values).

As the function has a minimum point at y = -7, the range is restricted.

Graph label the axes using a scale of 1 (see attachment).

Answer: resource - trust me bro

Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20

The required value lies Between 6 and 7, but closer to 6. Option C is correct.

Given that,
The square root of 50 minus 10 would be plotted on a number line.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.

Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.

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Answer:

Slope = 0.75

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

4-1/5-1=3/4=0.75