how ,any four digit positive integers have property that the product of their digits is 120?

Therefore the point P in the coordinate plane comes out to be (2,10)

and the distance between the points is 50.99 units

equation is another name for a declaration of equality between two expressions that contain variables and/or numbers. From solving equations is essentially solving problems, solving equations has been the central goal of mathematics since its inception. There are many distinct types of equations that range in complexity, from simple algebraic equations that merely need addition or multiplication through differential equations, exponential equations that use exponential expressions, and integral equations.

we know that,

the point p on the line y=5x that is closest to the point (52,0) will be on the line perpendicular to the line y=5x and go through the point (52,0)

step 1

the slope m perpendicular to the line y=5x is

m1=5

if two lines are perpendicular

m1*m2=-1

m2=-1/5

step 2

with m=-1/5 and the point (78,0) find the equation of a line

y-y1=m*(x-x1)-----> y-0=(-1/5)*(x-52)----> y=-0.20x+10.4

step 3

resolve the equation systems

y=5x

y=-0.20x+10.4

Thus substituting the values in y of x

=> 5x=-0.20x+10.4

=> 5.20x=10.4

=> x=2

Therefore the point comes out to be

x=2

y=10

The least distance between P(2,10) &(52,0)= 50.99 units

Therefore the point P in the coordinate plane comes out to be (2,10)

and the distance between the points is 50.99 units

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Answer:

  -4, -6

Step-by-step explanation:

You want the constants that go into the binomial factors of x² -10x +24.

The binomial constants used in the factors must have ...

  a product of +24

  a sum of -10.

The positive product means the two factors have the same sign. The negative sum tells you both signs are negative. The negative answer choices are -2, -4, -6. The only pair with a sum of -10 and a product of +24 is -4 and -6.

  = (x -4)(x -6)

Answer:

See explanation.

Step-by-step explanation:

Given quadratic:

[tex]x^2+140x-1500[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], first find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

As  a = 1, b = 140 and c = -1500, then:

[tex]\implies a \cdot c=1 \cdot -1500=-1500[/tex]

[tex]\implies b=140[/tex]

Therefore, the two numbers are 150 and -10 as:

[tex]\implies 150 \cdot -10 = -1500[/tex]

[tex]\implies 150+(-10)=140[/tex]

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies x^2+(150-10)x-1500[/tex]

Distribute:

[tex]\implies x^2+150x-10x-1500[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x+150)-10(x+150)[/tex]

Factor out the common term  (x + 150):

[tex]\implies (x+150)(x-10)[/tex]

The Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is ( -0.0654 , 0.0654 ) .

Given :

Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is accurate to within the stated error.sin x = x − x^3 / 6 ( | error | < 0.01 )

The next nonzero term in the Taylor series for sine is x^5 / 120 .

x^5 / 120 < .00000001

-0.00000001 < x^5 / 120 < .00000001

-0.0000012 < x^5 < .0000012

( -0.0000012 )^1/5 < x < ( .0000012 )^1/5

we have ( .0000012 )^1/5 ≈ .0654

= ( -0.0654 , 0.0654 )

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Answer:

$68.81

Step-by-step explanation:

22% of 56.40 can be found by multiplying

.22 and 56.4, which equals 12.408

therefore, if you add 12.408, or 12.41, to 56.40 you will get 68.81

Answer:

decagon (10-sided polygon)

Step-by-step explanation:

A regular polygon has a minimum rotation of 360/n degrees about its center, where n is the number of sides in the polygon.

Therefore, the regular polygon with a minimum rotation of 36 degrees about its center is a polygon with 360/36 = 10 sides, or a decagon.

if this helps you, it would help me a lot if you could mark this as brainliest :)

Answer:

A) 40

B) 5

C) 55

D) 35

Step-by-step explanation:

The formula is:

[tex]\frac{(F - 32)5}{9}[/tex]

F is the temperature in Fahrenheit.

A)

[tex]\frac{(104-32)5}{9}[/tex]

40

B)

[tex]\frac{(41-32)5}{9}[/tex]

5

C)

[tex]\frac{(131-32)5}{9}[/tex]

55

D)

[tex]\frac{(95-32)5}{9}[/tex]

35

Valeria rode for 15 miles in the evening each day.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Valeria has been training for the Charlestown Cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode an 8-mile route each morning and a longer route each evening. By the end of the week, she had ridden a total of 115 miles.

Let the distance she covered in evening be x,

Establishing the equation,

(8+x)5 = 115

8+x = 23

x = 15

Hence, Valeria rode for 15 miles in the evening each day.

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The p - value is less than the significance level, we conclude that we must reject the null hypothesis .

Given :

think about testing the significance of the regression slope. when the p-value is less than the significance level, we conclude that.

A Hypothesis Test for a Regression Slope :

suppose the p - value less than the significance level we have evidence to reject the null hypothesis.

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Due to the comparison of the responses of drivers at two distinct volume levels, the experiment reported provides an illustration of matched pairs.

For the purpose of comparing the outcomes and coming to a conclusion about this reaction, matched pairs are a sort of experiment that places one or more people in two distinct scenarios.

According to the aforementioned, the scenario described is an example of matched pairs because it calls for the driver to react to obstacles while listening to music at two different volume levels. In this regard, their results are compared to see if the volume affects their performance and reaction time.

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As the data says , the null and alternate hypothesis will be H0 :p=0.50 and H1:p ≠ 0.50

Let p stand for the true proportion of odds.

To compare the

null hypothesis H0:P = 0.50

alternative hypothesis H1:p 0.50

Let p represent the sample proportion and n represent the sample size.

here,

p = 14/40

= 0.350

n=40, p₀ = 0.500,

= proportional standard error under null 0.50 * (1 -0.50) /40

= 0.079057

The test statistic is as follows:

z = p - p0 / √ p0  ( 1  - p0) / n )

They follow a typical normal distribution under H0

If P-value 0.05 or |Zobs| > 0, we reject H0 t 0.05 threshold of significance. z0.025

Now,

The test statistic value is -1.897367.

1.959964 is the key value.

P-value = 2*P(Z - 1.897367) + P(|z|>Zobs)

= 2 * 0.028890

= 0.057780≈ 0.0578

Because the p-value is greater than 0.05 and |Zobs|  = 1.959964,

As a result, we fail to reject H0 at the 0.05 threshold of significance.

As a result, the population proportion has decreased.

Null and alternate hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always expects no effect or no association between variables, whereas the alternative hypothesis of a test always predicts no effect or no association between variables.

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Answer:

Step-by-step explanation:

Step 1: The sample proportion is pˆ=1440=0.35, the hypothesized proportion is p0=0.5, and the sample size n=40.

Step 2: The test statistic, rounding to two decimal places, is z=0.35−0.50.5(1−0.5)40−−−−−−−−−−√≈−1.897.

Step 3: Since the test is two-tailed and the test statistic is negative, entering the function =2*Norm.S.Dist(−1.90,1) into Excel returns a p-value, rounding to three decimal places, of 0.058.

Answer:

(3 + 8u)(3 - 8u)

Step-by-step explanation:

Conjugated binomials

[tex](9-64u^{2} ) =(3+8u)(3-8u)[/tex]

Hope this helps

Based on the given consume reports data, the t value is 2.228.

T - value:

In statistics, t - value measures the size of the difference relative to the variation in your sample data.

Given,

Here we have the tale with  price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports.

Now, we need to find the t test indicate a significant relationship between price and the overall score.

While we looking into the question, the values in this one are,

n = 6

And table of 6 stereo headphone price and overall score are given.

Based on the given details we have calculated the frequency table and the table is attached below.

Based on the resulting table we have identified that the value of t is 2.228.

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The congruence statement for the triangle is that they gave same sides and angles.

When the three sides and three angles of two triangles are equal in any orientation, they are said to be congruent.

According to the Side Side Side (SSS) Theorem, if all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are congruent.

It should be noted that from the triangle given, the sides and angles are the same. This was illustrated. This illustrates the congruence and the triangle was reflected.

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On solving the provided question, In the case of four numbers, 1 and 3 are odd and 2 and 4 are even. As a result, the numbers are odd in half, so the answer is 1/2.

The proportion of favorable outcomes to all possible outcomes for an event is known as the probability. The quantity of positive outcomes in an experiment with 'n' outcomes is represented by x. The following equation can be used to determine the likelihood of an event:

Probability (event) = positive outcome / overall outcome = x/n

In the case of four numbers, 1 and 3 are odd and 2 and 4 are even. As a result, the numbers are odd in half.

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Answer:

(x-3)^2+(y+2)^2=164

Step-by-step explanation:

radius is

The RAM of the larger server is 30GB and the RAM of the small server is 20GB.

The first step is to form a system of equations:

2L + 4S = 100 equation 1

L + 3S = 60 equation 2

The elimination method would be used to determine the required values:

In order to determine the value of S, multiply equation 2 by 2

2L + 6S = 120 equation 3

Subtract equation 1 from equation 3 :

2S = 20

Divide both sides of the equation by 2:

S = 20 / 2 = 10

Substitute for s in equation 1 :

2L + 4(10) = 100

2L + 40 = 100

2L = 100 - 40

2L = 60

L = 60 / 2

L = 30

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The degree of freedom value for the A× B intersection is  = 6.72

The F value is the value of the F distribution. Various statistical tests generate F values. You can orrect answer is use this value to determine whether your test is statistically significant.

The F value is used in the analysis of variance (ANOVA). It is calculated by dividing the two mean squares. This calculation determines the ratio of explained to unexplained variance.

The F distribution is a theoretical distribution. There are many types of these distributions, each with different degrees of freedom.

Determines the probability of the F value using the degrees of freedom of the F value and the variance source. The probability is the significance value of the test.

AxB intersection:

Interpreting the output of the general linear model command focuses on two parts: the means table and the ANOVA summary table. The average table is the focus of the analysis, while the summary table draws attention to the interesting or statistically significant parts of the average table.

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The simplified expression is (x-2).

What is expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

We are given a function
(x-1)(x-2)x^2-9x+14/(x-7)(x^2-3x+2)

We have to simplify the above expression

And in order to do so we first simplify the quadratic expression into linear expression or factors Then cancel the common terms from numerator and denominator.

On simplifying the expression we get

(x-1)(x-2)(x-7)(x-2)/(x-7)(x-2)(x-1)

On cancelling the common terms we get

x-2

Which is the required simplified expression.

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The flagpoles are 40 feet, and the wires cross at E, which is directly above point F on the ground. Then EF is 5.142 feet.

The maximum height for flagpoles is twenty (20) feet. (3) When next to or encircled by residential lots, the flagpole may not be erected in any side or rear yard setback.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

by applying similar triangles on triangles we get the equation on ABC and EFC

40y+9x=360

by applying similar triangles on triangles, we get the equation on DBC and EBF

y=3/10x

x=120/7

putting values in the very first equation we get

y=3/10x(120/7)

y=5.142

EF=5.142 feet.

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The hypothesis which motivates the studies which is usually the reason for any data is being collected at first place is called alternative hypothesis.

A hypothesis is an exact clarification that pertains to the set of data that may be examined with the aid of using positive similarly investigations. There are essentially types, namely, null speculation and opportunity speculation. A studies commonly begins offevolved with a hassle. Next, those hypotheses offer the researcher with a few precise restatements and clarifications of the studies hassle.

The standards of the studies hassle withinside the shape of null hypothesis and opportunity hypothesis need to be expressed as a dating among or extra variables. The standards is that the statements need to be the only that expresses the connection among the 2 or extra measurable variables. The null hypothesis and opportunity speculation need to bring clean implications for checking out and mentioning relations.

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Correct Question:

The hypothesis that motivates most studies and is usually the reason the data are being collected in the first place is the __________ hypothesis.

What Christina did wrong in estimating the percentage is that; She  incorrectly multiplied 90 times 0.9

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

The correct steps should be as follows;

1. (90)(190%)

2. We will break down 190% into 2 sums to get;

(90)(100% + 90%)

3. We will apply distributive property of Algebra to get;

(90)(100%) + (90)(90%)

4. We will convert the percentage to decimal to get;

(90)(1.0) + (90)(0.9)

5. We will multiply out the terms to get;

90 + 8.1

6. We will add up the terms to get; 98.1

Comparing these steps to that of Christina, we can say that what she did wrong was that she incorrectly multiplied 90 times 0.9.

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Answer:

x = 15

Step-by-step explanation:

4(x - 20) = - 20 ( divide both sides by 4 )

x - 20 = - 5 ( add 20 to both sides )

x = 15

Answer:

b

Step-by-step explanation:

If you made a pie and then ate two slices of it, the first pie would be missing two slices of pie. If you then made two more slices of pie for another pie, the first pie would be missing a total of four slices of pie. This is because you took two slices of pie from the first pie and added them to the second pie, leaving the first pie with two fewer slices than it originally had.

Answer:

The first pie would be missing four slices in total

Step-by-step explanation:

If you make a pie and then eat two slices of it, there would be two missing slices from the first pie. If you then make two more slices of pie for another pie, the first pie would be missing a total of four slices. The first pie would be missing four slices in total.

If a model airplane takes off at a constant rate of 7 feet per second and the  initial velocity of 30 feet per second. The time it takes for the plane collision to occur is 1.437 sec.

Given data :

T seconds = h=7t

h=-16t^2+30x

Let t represent the time

Hence,

7t=-16t²+30x

7t=          -7t

0 =-16t² + 23t

0=-2t(8t +11.5)

0=-2t               0 =8t-11.5

0=t                   11.5/8 =8t/t

t = 11.5/8

t = 1.437 sec

Therefore the time is 1.437 sec.

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The complete question is:

a model airplane takes off at a constant rate of 7 feet per second.

At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide. Find the time it takes for the plane collision to occur .

The set of independent variables of a function called the domain of the function.

Domain is the set of values for which the given function is defined.

The set of all possible values of the dependent variable called the range.

The range of a function refers to all the possible values y could be. The formula to find the range of a function is y = f(x). In a relation, it is only a function if every x value corresponds to only one y value.

The set of all possible values for the function called the the domain of the function.

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Driving is done at a 40 mph speed when a camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods.

Given that,

A camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods. The camper's speed while driving was ten times that of the hiker. Three hours were spent driving and hiking together.

We have to determine the camper's hiking speed.

We know that,

Let x represent the increasing rate and 10x represent the driving rate.

Time equation is

80/10x+4/x=3

Simplify

8/x+4/x=3

12/x=3

x=12/3=4

Therefore, Driving is done at a 40 mph speed when a camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods.

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The value of the expression given as 10pi is 31.42

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

It should be noted that the value of pi is 3.142.

Therefore, the value of 10 pi will be:.

= 10 × 3.142

= 31.42

The value is 31.42.

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If the ratio of jackals to hyenas is 4 to 7 then the number of hyenas will be equal to 294.

The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.

As per the given information in the question,

The ratio of jackals to hyenas is 4 : 7.

Total number of jackals = 168

Let the total number of hyenas be x.

x = (7 × 168)/4

x = 1176/4

x = 294.

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