The cost of having a plumber spend h hr at your house if the plumber charges ​$30 for coming to the house and​ $x per hour for labor. The expression for the cost of the plumber coming to the house is how many dollars.

Answer:

  90°

Step-by-step explanation:

Supplementary means they add to 180°. Vertical angles are congruent, so they must both be 180°/2 = 90°.

Answer:

90

Step-by-step explanation:

Did the Geometry quiz 2021

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<Jayla>

Answer:

No solution.

Step-by-step explanation:

The given functions are

[tex]y=\cos2x[/tex] and [tex]y=1-\sin^2x[/tex].

To find the point of intersections of the graphs of the two functions: we equate them and solve for [tex]x[/tex].

[tex]\cos2x=1-\sin^2x[/tex]

Recall the double angle identity; [tex]\cos2x=cos^2x-sin^2x[/tex]

Apply this identity to obtain;

[tex]cos^2x-sin^2x=1-\sin^2x[/tex]

[tex]\Rightarrow cos^2x=1[/tex]

[tex]\cos x=\pm1[/tex]

[tex]x=0\:or\:x=\pi[/tex]

if the interval is [tex]0\le x\le \pi[/tex], then the two graphs intersect at [tex]x=0\:or\:x=\pi[/tex]

But [tex]x=0\:and\:x=\pi[/tex] does not belong to the open interval [tex]0\:<\:x\:<\:\pi[/tex]

No point of intersection.

Answer:

  4 units

Step-by-step explanation:

The sides of the rectangle are parallel to the axes, so it is a simple matter to subtract coordinate values to find the dimensions.

Along the line y=7, the rectangle extends from -5 to 5, so has width 10.

Along the line x=5, the rectangle extends from 1 to 7, so has length 6.

The width is 10 - 6 = 4 units more than the length.

Answer: width=7 length =9

9-7=2

2 is the answer

Answer:

B. x = 4

Step-by-step explanation:

I can't speak to the first part of this question, as I don't totally have context for what they're asking, but we can solve for x using one of the laws of logarithms, namely:

[tex]\log_bm+\log_bn=\log_bmn[/tex]

Using this law, we can combine and rewrite our initial equation as

[tex]\log_2(x\cdot(x-2))=3\\\log_2(x^2-2x)=3[/tex]

Remember that logarithms are simply another way of writing exponents. The logarithm [tex]\log_28=3[/tex] is just another way of writing the fact [tex]2^3=8[/tex]. Keeping that in mind, we can express our logarithm in terms of exponents as

[tex]\log_2(x^2-2x)=3\rightarrow2^3=x^2-2x[/tex]

2³ = 8, so we can replace the left side of our equation with 8 to get

[tex]8 = x^2-2x[/tex]

Moving the 8 to the other side:

[tex]0=x^2-2x-8[/tex]

We can now factor the expression on the right to find solutions for x:

[tex]0=(x-4)(x+2)\\x=4, -2[/tex]

The only option which agrees with our solution is B.

Answer:

The answer is:

        [tex]y_1=\dfrac{\log x}{\log 2}+\dfrac{\log (x-2)}{\log 2}\ ,\ y_2=3\ ,\ x=4[/tex]

Step-by-step explanation:

We are given a logarithmic expression as:

[tex]\log_2 x+log_2 (x-2)=3[/tex]

As we know that:

[tex]\log_a x=\dfrac{\log x}{\log a}[/tex]

Hence, we get the logarithmic expression as follows:

[tex]\dfrac{\log x}{\log 2}+\dfrac{\log (x-2)}{\log 2}=3[/tex]

We know that we can get the system of equations as follows:

[tex]y_1=\dfrac{\log x}{\log 2}+\dfrac{\log (x-2)}{\log 2}[/tex]

and

[tex]y_2=3[/tex]

Hence, when we plot the graph for this system of equations we see that the point of intersection of the graph is: (4,3)

Hence, the solution is the x-value of the point of intersection of the two equations.

Hence, x=4 is the solution.

Hence, the correct option is:

  [tex]y_1=\dfrac{\log x}{\log 2}+\dfrac{\log (x-2)}{\log 2}\ ,\ y_2=3\ ,\ x=4[/tex]

Answer:

300%

Step-by-step explanation:

600 / 120 = 300

1/2÷1/6

=

1/2*6/1

=

6/2

=

3

Answer:

Quotient would be 3.

Step-by-step explanation:

The model below can be used to find the quotient of one over two dividend by one over six.

We will rewrite the problem :

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{6}[/tex]

As we know when we divide the two fractions, we must invert the second fraction and put the sign of multiplication in place of division sign and multiply.

So now we can write the problem as :

[tex]\frac{1}{2}[/tex] × [tex]\frac{6}{1}[/tex]

= [tex]\frac{6}{2}[/tex]

= 3

Quotient would be 3.

Answer:

the correct answer would be choice C

it went left 1/2 units and went down 4 1/2 units

Answer:

It's the third option.

Step-by-step explanation:

f(x) = |x| is shaped like a V with the vertex at the point (0, 0).

The translation is 1/2 unit to the left, 4 1/2 units down.

Answer:

YES

YES

NO

YES

Step-by-step explanation:

Assuming that the value is [tex]\dfrac{4}{9}[/tex].

Let's take each of the equations and check if the fraction makes the equation true.

When multiplying a whole number to a fraction, it is the same as multiplying the whole number to the numerator and dividing the total by the denominator.

[tex]63*\dfrac{4}{9}=28[/tex]

[tex]\dfrac{63*4}{9}=28[/tex]

[tex]\dfrac{252}{9}=28[/tex]

[tex]28=28[/tex]    YES

[tex]18*\dfrac{4}{9}=8[/tex]

[tex]\dfrac{18*4}{9}=8[/tex]

[tex]\dfrac{72}{9}=8[/tex]

[tex]8=8[/tex]    YES

[tex]96*\dfrac{4}{9}=42[/tex]

[tex]\dfrac{96*4}{9}=42[/tex]

[tex]\dfrac{384}{9}=42[/tex]

[tex]42.67=42[/tex]    NO

[tex]36*\dfrac{4}{9}=16[/tex]

[tex]\dfrac{36*4}{9}=16[/tex]

[tex]\dfrac{144}{9}=16[/tex]

[tex]16=16[/tex]    YES

Answer:

yes

yes

no

yes

hope this helps!!

the answer is 942.because the formula is V=Bh. V=pir2h. so V= 3.14×5squared×12. so 3.14×25×12. 25×12=300. and 3.14×300=942

Answer:

Option C. [tex]2.5[/tex]

Step-by-step explanation:

we know that

In the rectangle of the figure

[tex]\frac{H}{W}=\frac{25}{10}=2.5[/tex]

so

[tex]H(W)=2.5W[/tex]

The constant is equal to [tex]2.5[/tex]

Answer:

2.5

Step-by-step explanation:

Answer: [tex]x=-1[/tex]

Step-by-step explanation:

By the negative exponent rule, you have that:

[tex](\frac{1}{a})^n=a^{-n}[/tex]

By the exponents properties, you know that:

[tex](m^n)^l=m^{(nl)}[/tex]

Therefore, you can rewrite the left side of the equation has following:

[tex](\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}[/tex]

 Descompose 32 and 8 into its prime factors:

[tex]32=2*2*2*2*2=2^5\\8=2*2*2=2^3[/tex]

Rewrite:

[tex](\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}[/tex]

Then:

[tex](\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}[/tex]

As the base are equal, then:

[tex]-3(2x+7)=5(3x)[/tex]

Solve for x:

[tex]-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1[/tex]

The answer is: True.

A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.

So:

[tex]sec^{2}x-1=\frac{cosx}{cscx}\\\\tg^{2}x=\frac{cosx}{\frac{1}{sinx}}\\\\\frac{1-cos2x}{1+cos2x}=cosxsinx[/tex]

Then, evaluating we have:

[tex]\frac{1-cos(2*45)}{1+cos(2*45)}=cos(45)*sin(45)\\\\\frac{1-0}{1+0}=\frac{\sqrt{2} }{2}*\frac{\sqrt{2}}{2}\\\\1=\frac{(\sqrt{2})^{2} }{4}\\\\1=\frac{2}{4}\\\\1=\frac{1}{2}[/tex]

Hence, we can see that the equation is not fulfilled, so, 45° is a counterexample for [tex]sec^{2}x-1=\frac{cosx}{cscx}[/tex] and the answer is true.

Have a nice day!

Answer:

The least amount of large plate packs that would have to be purchased is 24.

Step-by-step explanation:

To do this we have to find first multiplication of 8 that is equally divided by 12.

A person can buy large packs of plates in multiple of 12 only.

A person can buy {1,2,3,4,5,6,7,8,...}packs of plates and will purchase

{12,24,36 ,48,60,72,84,96,...}large plates.

A person can buy small packs of plates in multiple of 8 only.

A person can buy {1,2,3,4,5,6,7,8,9,10,11,12...}packs of plates and will purchase..

{8,16,24,32,40,48,56,64,72,80,88,96,...}small plates

Now we have to keep in mind that one has to purchase equal amount of plates..

A person can buy {24,48,72,96} plates and hence least amount of large plate packs that would have to be purchased is 24....

Answer:

the chance of obtaining a difference in GPAs between male and female scholarship athletes as large as that observed in the sample if there is no difference in mean GPAs is 0.287

Step-by-step explanation:

When conducting hypothesis tests, the P value tells you the probability of the results happening by random chance.  That's why we usually test against a very low alpha level, usually 1% or 5%.  

Here P = 28%, so there is a 28% chance that if we take a sample of athletes, about 1 out of 4 times there won't be a significant difference in GPA between males and females.

The scenario involves differentiating a proportional relationship between the woman's distance from a streetlight and the length of her shadow to determine the rate of change of the shadow's length and the speed of the shadow's tip.

The question involves finding the rates of change in the scenario where a woman walks toward a streetlight and the effects on her shadow's length and speed. Let's denote the distance between the woman and the streetlight as x, the length of her shadow as y, and her height as h. The streetlight's height is given as H. Using similar triangles, we can establish the relationship (H - h) / y = H / (x + y). Differentiating both sides with respect to time, t, allows us to calculate the rates of change we're interested in.

To find the rate of change of her shadow's length when she is 16 feet from the streetlight, we can take dh/dt as 0 since her height is constant, dx/dt as -4 ft/s because she is walking towards the light and substitute into the derived equation after differentiating. Similarly, we calculate the rate at which the tip of the shadow is moving by adding the rate of the woman's movement to the rate of change of the shadow's length.

Here is your answer

[tex]<b>z= 20 degrees</b>[/tex]

REASON:

[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.

So, in above given figure

[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)

[tex]2z+140=180 [/tex]

[tex] 2z=180-140 [/tex]

[tex]2z=40 [/tex]

[tex]z= 40/2 [/tex]

[tex]z= 20 [/tex]

HOPE IT IS USEFUL

Answer:

a. Ratio of girls to all students 5:11

b. Ratio of girls to all students n:m+n

c. Ratio of girls to boys 5:6

Step-by-step explanation:

In order to find each of these, we simply need to look at these as a comparison of two data points.

a. In this example, we are looking for girls to all students. We already who there would be 5 girls in the comparison. Then we need to find the whole amount, which is girls + boys (6 + 5 = 11)

5:11

b. In this example, we are looking for girls to all students. We already who there would be n girls in the comparison. Then we need to find the whole amount, which is girls + boys (m + n)

n:m+n

c. In this example, we are looking for girls to boys. We already who there would be 5 girls in the comparison. Then we need to find the boys amount, which is whole - girls (11 - 5 = 6)

5:6

Final answer:

The ratio of girls to all students in a class with a boy-girl ratio of 6 to 5 is 5 to 11. The general ratio of girls to all students with a boy-girl ratio expressed as m:n is n:(m+n). Lastly, if five elevenths of the class are girls, then the ratio of girls to boys is 5 to 6.

Explanation:

Understanding Ratios in a Classroom Setting

The ratio of boys to girls in a class is initially given as 6 to 5. To find the ratio of girls to all the students in the class, the sum of the parts of the ratio must first be calculated, which is 6 (boys) + 5 (girls) = 11 (total students).

Therefore, the ratio of girls to the total number of students is 5 to 11. This is because for every 11 students, 5 are girls. If the ratio of boys to girls is expressed as m:n, then the ratio of girls to all students will be n:(m + n).

For a scenario where five elevenths of the class are girls, the ratio of girls to boys needs to be determined. As five elevenths represent the girls, six elevenths must represent the boys, since they sum up to the whole, which is one (or 11/11). Therefore, the ratio of girls to boys is 5:6.

if it is asking for compound interest your answer should be 49761.9

Answer: similar

Step-by-step explanation: apex

Answer:

The fill in the blank is the word similar.

Step-by-step explanation:

A pyramid has a cross-sectional shapes, taken parallel to its base, that are similar to one another.

When we do the cross-section of a pyramid parallel to its base, the cross-section formed will be in the same shape like the base.

Whenever a cross section is done parallel to the base of any pyramid, the resulting shape will be same like the base. As we move up in the pyramid and cross section it, the shape formed will be like the base but with smaller dimensions. But the shape will be the same as the base.

Answer:

The answer is C) -1 and -4

Step-by-step explanation:

Sorry i don't have the step by step explanation but that's the answer

Answer:

wouldn't it be 6/5 or 5/6 or 1.2

Step-by-step explanation:

ANSWER

[tex]y = - 5[/tex]

EXPLANATION

The horizontal asymptote of a general exponential function,

[tex]f(x) = a {(b)}^{x} + c[/tex]

is y=c.

The given exponential function is

[tex]f(x) = 4{(2)}^{x} - 5[/tex]

By comparing the given function to

[tex]f(x) = a {(b)}^{x} + c[/tex]

we have c=-5, therefore the horizontal asymptote is

[tex]y = - 5[/tex]

Answer 2 she bought 3 gallons of lemonade

4x2.50=10

2x7.50=15

10+15=25

34-25=9

9 divided by 3=3

Answer:

Answer 2 is right.

Step-by-step explanation:

Given that Lisa purchased groceries worth $34 for a party.

A gallon of milk costs $2.50

No of gallons bought - 4

Cost of milk = [tex]2.50*4 =10[/tex]

a gallon of ice cream costs $7.50

Cost of ice creams = [tex]2*7.50 = 15[/tex]

, and a gallon of lemonade costs $3.00

Let lemonade purchased be x

Then total cost = [tex]10+15+3x[/tex]

This equals 34

[tex]25+3x =34\\3x=9\\x=3[/tex]

No of gallons of lemonade purchased =3

Answer 2 is right

simplify :7x + 3x - 5 + 8x + 5 = 180

x = 10

D using the foil method

Answer: [tex]4x^2+17x-15[/tex]

Step-by-step explanation:

To simplify the given expression we need to apply the distributive property in algebra.

The distributive property is given by :

[tex]a(b+c)=ab+ac[/tex]

The given expression:

[tex](4x- 3)(x + 5)\\\\=(4x-3)x+(4x-3)5\ \ \ \ \text{By distributive property}\\\\=4x^2-3x+20x-15\\\\=4x^2+(-3+20)x-15\ \ \ \text{Combining like terms}\\\\=4x^2+17x-15[/tex]

you're answer would be two hundred eighty eight

Answer:

288

Explanation:

Hope this helps

Answer:

The correct answer option is 231 / 703

Step-by-step explanation:

We are given that a jar has 38 marbles, out of which 10 are red, 22 are black and 6 are green. Two marbles are drawn and the first marble is not returned when the second one is drawn.

We are to find the probability that both marbles are black.

1st draw: P (black) = [tex]\frac{22}{38} =\frac{11}{19}[/tex]

2nd draw: P (black) = [tex]\frac{21}{37} [/tex]

P (Both Black) = [tex]\frac{11}{19} \times \frac{21}{37}[/tex] = 231 / 703

Answer:

y= -2x/3+8

Step-by-step explanation:

find 2 points: (0,8) and (6,4)

substitute in y=ax+b

8=0a+b

b=8

4=6a+b

4=6a+8

6a=-4

a=-2/3