P=a+3b+4c solve for a

Answer:

depending on how much cheese you are trying to produce is the amount of milk you need

The solution of the fraction is 6 11/35.

Covert mixed numbers to improper fractions:

[tex]2\frac{5}{7}g=\frac{19}{7}g[/tex]

[tex]3\frac{3}{5}g=\frac{18}{5}g[/tex]

factor out common term g:

=[tex]g(\frac{19}{7} +\frac{18}{5})\\g(\frac{221}{35})[/tex]

Convert improper fractions to mixed numbers:

[tex]=\frac{221}{35}g \\\\=6\frac{11}{35} g[/tex]

Hence, The solution of the fraction is 6 11/35.

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The triangles ΔSTU and ΔRQV are congruent triangles

Two triangles are congruent if the three sides of one triangle are congruent to the three sides of the other triangle.

The parameters from the diagram includes;

Side [tex]\overline{TU}[/tex] in triangle ΔSTU is congruent to side [tex]\overline{QV}[/tex] in triangle ΔRQV

Segment [tex]\overline{UV}[/tex] is congruent to segment [tex]\overline{RS}[/tex]

[tex]\overline{UV}[/tex] ≅ [tex]\overline{RS}[/tex]

[tex]\overline{UV}[/tex] = [tex]\overline{RS}[/tex] By definition of congruency

Side [tex]\overline{ST}[/tex] in triangle ΔSTU is congruent to side [tex]\overline{QR}[/tex] in triangle ΔRQV

Segment [tex]\overline{RU}[/tex] is congruent to segment [tex]\overline{UR}[/tex], by reflexive property

[tex]\overline{RV}[/tex] = [tex]\overline{RU}[/tex] + [tex]\overline{UV}[/tex] by segment addition postulate

Similarly, [tex]\overline{SU}[/tex] = [tex]\overline{RU}[/tex] + [tex]\overline{RS}[/tex]

Therefore; [tex]\overline{SU}[/tex] = [tex]\overline{RU}[/tex] + [tex]\overline{UV}[/tex] (by substitution property)

[tex]\overline{RV}[/tex] = [tex]\overline{SU}[/tex] by substitution property

[tex]\overline{RV}[/tex] ≅ [tex]\overline{SU}[/tex] by definition of congruency

The three sides of the triangle ΔSTU are congruent to the three sides of the triangle ΔRQV, therefore;

The triangles ΔSTU and ΔRQV are congruent by Side-Side-Side, SSS, congruency postulate

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Answer:

I can't answer unit I know what lines you're talking about, can you insert an image or graph of the questions?

Step-by-step explanation:

It would cost a family of 5 $132.35 more to get the jets game than a Lions game

Given that:

The average ticket price for Jets game = $105.66

The average ticket price for Lions game = $79.19

Jets game for a family of 5 will be:

Jet game cost = 5× $105.66 = $528.3

Lions game for a family of 5 will be:

Lions game cost = 5× $79.19 = $395.95

Difference = $528.3 - $395.95 = $132.35

Therefore, it would cost a family of 5 $132.35 more to get the jets game

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Next step is to Mark off your new arc with this new width by positioning the compass point on the reference line where the previous arc crossed it.

Steps to be followed while measuring an exact angle using compass and straight edge are:

Swing the arc so that the pencil crosses BOTH rays (sides) of the angle. Holding the compass point at the starting point (dot) on the reference line, swing an arc that will cross the reference line and rise above the reference line without adjusting the compass's size. Return to the supplied angle ABC and determine the span (width) of the arc between the points at which it crosses one side of the angle and the other. Mark off your new arc with this new width by positioning the compass point on the reference line where the previous arc crossed it. Join this new intersection point to the reference line's starting point. Mark the duplicate.

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Answer:

Yes

Step-by-step explanation:

If you graphed that, it would be a horizontal line. Which is a function. If it is a vertical line, then it is not.

Answer:

25.

Step-by-step explanation:

1. if according to the condition 'm∠2 is three times m∠1', then it is possible to write: 3m∠1=m∠2, then

2. if according  to  the condition m∠WXZ=m∠1+m∠2, then it is possible to write it as:

m∠WXZ=m∠1+3m∠1; ⇔m∠WXZ=4*m∠1;

3. if according to the condition m∠WXZ=100, then

100°=4*m∠1, then

m∠1=100°:4=25°.

The time taken by the person to cover 260 miles will be 3 hours and 15 minutes.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that a person to drive 260 miles on a highway if she merges onto a highway at 7 p.m. and drives nonstop with her cruise control set at 80 mph.

The amount of time taken by the person to cover the distance of 260 miles with a speed of 80mph is,

Speed = Distance / Time

Time = Distance / Speed

Time = 260 / 80

Time = 3.25 or 3 hours 15 minutes

Therefore, the time taken by the person to cover 260 miles will be 3 hours and 15 minutes.

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Given that P(E)= 0.30 and P(F)= 0.47, the probability of P(E or F) if E and F are mutually exclusive will be 0.77.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Here,

P(E)=0.30

P(F)=0.47

P(E∩F)=0 as they are mutually exclusive

P(E∪F)=P(E)+P(F)-P(E∩F)

=0.30+0.47

P(E∪F)=0.77

The probability of P(E or F) if E and F are mutually exclusive will be 0.77 given that P(E)= 0.30, and P(F) = 0.47.

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Answer: 135

Step-by-step explanation:

Since the expression gives you that n = 5, you'll plug 5 into every "n" within the original equation.

6n^2 -15 = 6(5)^2-15

You'll then square 5

= 6(5*5)-15

= 6(25)-15

= 150-15

= 135

The values of the functions g[f(0)]b) f(-5), f[h(3)], h°f(x) and h⁻¹(x) are 9.5, -2, 16, (4x+22)/x and 6/(x-2) respectively

A function is a relationship between inputs where each input is related to exactly one output

Given:  f(x)= 2x+8, g(x)= 5x-2/4 and h(x)= 2x+6/x

(a) g[f(0)]

Substitute x = 0 into  f(x)= 2x+8 to get f(0)

f(0) = 2(0)+8 =8

g[f(0)] =  g(8)

Substitute x = 8 into g(x)= 5x-2/4 to get g[f(0)]

g[f(0)] =  g(8)

g[f(0)]  = 5x-2/4

g[f(0)]  = 5(8)-2/4 = 9.5

b) f(-5)

Substitute x = -5 into  f(x)= 2x+8 to get f(-5)

 f(x)= 2x+8

f(-5)= 2(-5)+8 = -2

c) f[h(3)]

h(x)= 2x+6/x

h(3) = 2(3)+6/3 = 4

f[h(3)] = f[4]

f[4] = 2(4)+8 = 16

f[h(3)]  = 16

d) h°f(x)

h°f(x)  = h(2x+8)  

Since h(x)= 2x+6/x

h°f(x) = 2(2x+8) +6/x

h°f(x) = 4x+16+6/x = (4x+22)/x

e) h⁻¹(x)

h(x)= 2x+6/x

Let y = 2x+6/x

x = 6/(y-2)

x = h⁻¹(y)

h⁻¹(x) = 6/(x-2)

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Following values can be filled in the table:

(0,-3), (-1,0), (1,-8), (-2,1), (2,-15)

It can be solved using the concept of graph plotting and function.

What is graph?

When a set of points are connected together to form a strcture then the structure is known as graph. The set of ponts is known as ordered pair.

Consider the eqution.

[tex]y=-(x+2)^2+1[/tex]

Substitute the simplest value x = 0 and find the value of y.

[tex]y=-(0+2)^2+1\\=-3\\[/tex]

Now, substitute x = -1 and find the value of y.

[tex]y=-(-1+2)^2+1\\=0\\[/tex]

Now, substitute x = 1 and find the value of y.

[tex]y=-(1+2)^2+1\\=-8\\[/tex]

Now, substitute x = -2 and find the value of y.

[tex]y=-(-2+2)^2+1\\=1\\[/tex]

Now, substitute x = 2 and find the value of y.

[tex]y=-(2+2)^2+1\\=-15\\[/tex]

Hence, following values can be filled in the table:

(0,-3), (-1,0), (1,-8), (-2,1), (2,-15)

It can be solved using the concept of graph plotting.

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The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.

The required details for null hypothesis in given paragraph

The null hypothesis and alternative hypothesis in this case would be:

H₀: The distribution of hockey players' birth months is uniformly distributed.

H₁: The distribution of hockey players' birth months is not uniformly distributed.

The expected counts for each birth month can be calculated as follows:

Expected Count = (Total Number of Players) * (Proportion of Total Players for Each Birth Month)

Since there are 4 birth months and the distribution is assumed to be uniform, the proportion of total players for each birth month is 1/4 = 0.25. Therefore, the expected count for each birth month is:

Expected Count = 188 * 0.25 = 47

To test the null hypothesis, we can then calculate the chi-square statistic using the following formula:

χ² = ∑((O - E)² / E)

where O is the observed count, E is the expected count, and the sum is taken over all birth months.

Plugging in the observed and expected counts, we get:

χ² = ((66 - 47)² / 47) + ((59 - 47)² / 47) + ((34 - 47)² / 47) + ((29 - 47)² / 47)

= 3.87 + 2.04 + 3.87 + 5.57

= 15.35

In this case, df = 3.

Looking up the critical value in the chi-square table with df = 3 and a = 0.05, we find that the critical value is 7.815. Since the chi-square statistic (15.35) is greater than the critical value, we reject the null hypothesis and conclude that there is evidence to suggest that the distribution of hockey players' birth months is not uniformly distributed.

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[tex]a=\sqrt{5^2-4^2}=3 \\ \\ b=\sqrt{5^2-4^2}=3 \\ \\ \therefore x=3+3=\boxed{6}[/tex]

Answer:

f(-1) = -3

Step-by-step explanation:

f(x) =-2x-5

f(-1) = -2(-1)-5  ==> plug in -1 for x

f(-1) = 2-5

f(-1) = -3

The answer is in simplest form is 672.

The simplest form is the  smallest possible equivalent of the fraction of the number. Steps for finding to  the simplest form: Search  for the common factors in to the numerator and the denominator. Check whether one of the numbers  in the fraction is a prime for  number.

As per the given question the number are

910

238

We have to find 910-238

So,

910-238

We have to calculate sum or difference

And we got 672.

Thus, the answer is 672 or 6.72×10^2 ( in alternate form).

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The side of square park, whose fencing costed Rs 2880 is 36m.

What is a square?

A quadrilateral with four equal sides is called a square. There are numerous items in our environment that have a square shape. Equal sides and internal angles that are both 90 degrees distinguish each square shape. Let's find out more about a square's characteristics, mathematics, and design.

We know perimeter of a square of side 'a' is 4a

Therefore, the cost of fencing a square park at Rs 20/meter would be equal to

= Rs(20*4a)

= Rs 80a

Given, the cost of fencing = Rs 2880

Thus, 80a = 2880

⇒ a = 2880/80

⇒ a = 36

Thus, the side of square park, whose fencing costed Rs 2880 is 36m

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Deshaun must save the amount of $275 each month to have enough for the first-year cost.

As per the given question, we have

The first-year cost of college = $25,600

The gift cost = $2500

The amount left to pay will be:

⇒ first-year cost - gift cost

⇒25,600 - 2,500 = 23100

The months left till college = 7 × 12 = 84

So, he would have to save per month :

⇒ 23,100/84

Apply the division operation, and we get

⇒ 275

Thus, he must save the amount of $275 each month to have enough for the first-year cost.

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The expressions that are equivalent to [tex]\frac{10}{9} + \frac{2}{9}m - \frac{4}{9}n[/tex] are [tex]\frac{2}{9}(5 + m -2n)[/tex] and [tex]-\frac{2}{9}( 2n -m -5)[/tex].

Algebraic fractions are fractions using a variable in the numerator or denominator, such as . Because division by 0 is impossible, variables in the denominator have certain restrictions. The denominator can never equal 0.

    [tex]\frac{10}{9} + \frac{2}{9}m - \frac{4}{9}n[/tex] in this algebraic fraction 2/9 is common to all so factoring that out we have

2/9 x 5 + 2/9 x m - 2/9 x 2n so we factor out 2/9

2/9( 5 + m -2n)

This can also be written by multiplying 2/9( 5 + m -2n) by -1 so that it 5becomes

- 2/9(2n -5 - m)

In conclusion the expressions 2/9( 5 + m -2n) and - 2/9(2n -5 - m) are equivalent to [tex]\frac{10}{9} + \frac{2}{9}m - \frac{4}{9}n[/tex]

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Answer:

Given g(x)=4x+6

f(x)=12x+8

f(g(x))=f(4x+6)

=12(4x+6)+8 (substitute g(x) in f(x) )

=48x+72+8

= 48x+80

The system of linear equation have an ordered triple of (x, y, z) are (-3, 1, -8)

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

In the question given, we have a system of linear equations where the value of x and y are given.

-5x - 4y + 2z = -5 ...eq(i)

-4x + 2y + 3z = 38 ...eq(ii)

2z + 3y + 4z = -35 ...eq(ii)

Since we have the value two variables (x, y) which are (-3, 1), we can substitute it in any of the equation to find the value of z.

Taking eq(i)

-5x - 4y + 2z = -5

-5(-3) - 4(1) + 2z = -5

15 - 4 + 2z = -5

11 + 2z = -5

2z = -5 - 11

2z = - 16

z = -8

The ordered triple are (-3, 1, -8)

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The current value of his mortgage must be no higher than $126,360 for him to request termination of his PMI policy.

What is mortgage value?

The appraised value of the property used to determine the mortgage value is determined by a reputable firm. It might not match the purchase-sale value. The mortgage value, which serves as the Bank's guarantee, is the benchmark used in the mortgage application and arrangement process.

Given:

Brett bought a house five years ago for $150,000.

At that time he borrowed $140,000 from his bank.

The house is now worth $162,000.

Once his equity has increased to 22% of the current market value he can request that PMI be canceled.

He may request termination of request when his mortgage balance reaches

162,000(1 - 0.22) = 162,000(0.78) = 126,360.

Hence,  the current value of his mortgage must be no higher than $126,360 for him to request termination of his PMI policy.

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Answer:

1.32x10^-3

Step-by-step explanation:

hope it helps

To find the percent of change, we need to calculate the difference between the original price and the new price, and then divide this difference by the original price and multiply by 100%.

The difference between the original price of $20 and the new price of $55 is $55 - $20 = $35.

The percent of change is: ($35/$20) * 100% = 1.75 * 100% = 175%

Since the new price is higher than the original price, this is an increase. Therefore, the percent of change is a 175% increase. The correct answer is therefore

O 175% increase.

There are 3457440 ways combination in which this dance committee can be formed.

What is permutation and combination?

A set of items can be divided into subsets in two different ways: combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are arranged in a particular order in a permutation.

2 freshmen out of 7 freshmen can be chosen in ⁷C₂ ways.

3 sophomores out of  9 sophomores can be chosen in ⁹C₃  ways.

4 juniors out of 7 juniors can be chosen in ⁷C₄ ways.

5 seniors out of 8 seniors can be chosen in ⁸C₅ ways.

⁷C₂ × ⁹C₃ × ⁷C₄ ×  ⁸C₅  ways, the dance committee of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors can be chosen.

= 7!/(7-2)!2! × 9!/(9-3)!3! × 7!/(7-4)!4! × 8!/(8-5)!5!

= 7!/5!2! × 9!/6!3! × 7!/3!4! × 8!/3!5!

= 21×84×35×56.

= 3457440 ways.

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You owe $31000 on student loans at an interest rate of 3.35% compounded monthly.

Generally, To calculate the monthly payment amount, you can use the following formula:

monthly payment = (interest rate / 12) x (loan balance / (1 - (1 + (interest rate / 12)) ^ (-term in months)))

Plugging in the values given in the question, the monthly payment would be:

monthly payment = (3.35% / 12) x ($31000 / (1 - (1 + (3.35% / 12)) ^ (-8 years x 12 months/year)))

= (0.00335) x ($31000 / (1 - (1 + 0.00335) ^ (-96)))

= $318.54

So the monthly payment would be $318.54.

To calculate the total interest paid over the course of the loan, you can use the following formula:

total interest = (monthly payment x term in months) - loan balance

Plugging in the values given in the question, the total interest paid would be:

total interest = ($318.54 x 96 months) - $31000

= $30,443.84 - $31,000

= $-556.16

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The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.

A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.

y = (3/2)x + 1 is the given equation for the line.

Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.

Take note that the line's graph's y-intercept is also 1.

The line's graph includes points (2,4).

Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:

4 = (3/2)(2) + 1

4 =4

The equation is accurate.

Consequently, it can be claimed that the following equation reflects the graph.

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