Write and expression equivalent to (7.5+2)-5

Answer:

-3 and 4

Step-by-step explanation:

We can start naming the first number x

Hence, the second number would be 10+2x

Set up an equation.

10+2x+x=1

Combine like terms

10+3x=1

Subtract 10 from both sides

3x=-9

Divide both sides by 3.

x=-3

The first number is he first is -3.

Plug that into the expression for the second number.

10+2x

10+2(-3)

10-6

4

The two numbers are -3 and 4.

Answer:

  acute

Step-by-step explanation:

An acute angle measures less than 90°.

Answer:

Step-by-step explanation:

Given the vectors ⟨−39,b,3⟩ and ⟨b,b²,b⟩, for the vectors to be orthogonal, the dot product of both vectors must be equal to zero.

Taking the dot product of both vectors and equating it t zero we will have;

⟨−39,b,3⟩*⟨b,b²,b⟩ = -39(b)+ b(b²)+3(b)

(Note that when multiplying, we multiply component wise and take the sum of the product if each component)

Since the vectors are orthogonal, then -39(b)+ b(b²)+3(b) = 0

open the parenthesis

-39b+b³+3b = 0

on rearranging

b³+3b-39b= 0

b³-36b= 0

factor out b from the equation

b(b²-36) = 0

b = 0 and b²-36 = 0

from b²-36 = 0

add 36 to both sides of the equation

b²-36+36= 0+36

b² = 36

take the square root of both sides

√b² = ±√36

b = ±6

Hence the values of b for the vectors to be orthogonal are 0, -6 and 6.

Answer:

donkeey kongy

Step-by-step explanation:

Answer:

D(t) = 50 -2t

At 25 seconds, the dog caught up with the cat

Step-by-step explanation:

At initial time t0

Distance = 50 ft

The dog is running 12 feet per second and the cat is running 10 feet per second.

So for each each time in seconds

Dog covers 12 feet while cat extends by 10 ft .

The distance between them at any given time

D(t)= 50 +10t -12t

D(t) = 50 -2t

The time it will take the dig to get to the cat is what D= 0

D(t) = 50 -2t

0= 50- 2t

2t= 50

t= 25

So at 25 seconds, the dog caught up with the cat

Answer:

69

Step-by-step explanation:

If she is averaging 65% of the worth of lectures.

the lectures she had was supposedly rated out of 60. Therefore, the 65% will be 65% of 60(total grade)

0.65 * 60 = 39

On the second part, if we apply the same method, we have

0.75 * 40 = 30

All we have to do on add both together

39 + 30 = 69.

therefore, get total grade in the course is 69

Total grade in the course is 69%

Since,  the averaging 65% of the points in lecture is worth to 60% of total grade.

It means that, the 65% will be equivalent to,

                  [tex]=\frac{60*65}{100}=3900/100=39[/tex] percent of total grade.

And 75% in lab is worth 40% of total grade.

             [tex]=\frac{75*40}{100}=30[/tex] percent of total grade.

We have to add both together

            [tex]39 + 30 = 69.[/tex]

Thus,  total grade in the course is 69%

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Answer: Answer is in the steps

Step-by-step explanation:

using the function h(t) = -16t^2 + 64t + 80    and H is height in feet  t is the time in minutes we can evaluate how high the platform is by solving for the y intercept.

h(t) = -16t^2 + 64t + 80  the y intercept is when h(t) is h(0)  so when it is h of zero  put zero into the function and solve the function

A) -16(o)^2 + 64(0) + 80  

      0 -0  + 80

    h(0) =  80  

Which means the platform is 80 feet high.  

B) In the reading it says that it will set the firework at its highest point  and in other words its highest point is its vertex. So solve for the vertex .

   h(t) = -16t^2 +64t + 80       To solve for the vertex, use the formula x= -b/2a  to find the x coordinate of the vertex.

     so  the value of b is 64  and a is -16 .

 x = -64 / -32    

x = 2

 So the x coordinate of the vertex is 2  so input it and solve for the y coordinate of the vertex.

h(t) = y =  -16(2)^2 + 64t+80

y=   -16(4) + 64(2)+ 80  

  y=   -64 + 128 + 80

      y = 144  

So the y coordinate is 144. which means the vertex  is (2,144) and also means that the fireworks will be released at  a 144 feet.

 C)  The drone will land on the ground when they is not height which means when  y is equal to zero or h(t)  is zero.  

          -16t^2 +64t + 80 = 0       so solve for t using the quadratic formula.

The quadratic formula says that  x= -b ± [tex]\sqrt{b^2 -4ac} /2a[/tex]  

   a = -16     b= 64   and c= 80  

 x = -64 + [tex]\sqrt{9216}/ -32[/tex]  

 x= -64 ± 96 /-32  

  x=  -1   or  x = 5

    Which means the drone land on the ground in 5 minutes. It can't be -1 because a negative number can't represent time.

Answer:

they can make 6 batches

Step-by-step explanation:

1/2 = 2/4 1 = 4/4

so if one batch is 1/4, and 4+2 is 6, they can make 6 batches

Answer:

6 Batches

Step-by-step explanation:

Answer:

[tex]A(-1,-8)[/tex]

Step-by-step explanation:

Given

Point: A(2,6)

Translation: 1 left and 3 up

Rotation: 180 degrees

Required

Image of Point A

Taking the exercise one after the other

Represent the function as: (x,y)

Such that

[tex]A(x,y) = A(2,6)[/tex]

1 unit left translation means the function becomes (x - 1, y)

2 unit up translation means the function becomes (x - 1, y + 2)

Applying the above transformation

[tex]A(2,6) -> A(2-1,6+2)[/tex]

[tex]A(2,6) -> A(1,8)[/tex]

At this stage, the coordinate becomes

[tex]A(1,8)[/tex]

When a function (x,y) is rotated by 180, the new function becomes (-x,-y)

So;

The further transformation of A is

[tex]A(1,8) -> A(-1,-8)[/tex]

Hence, the new image of A is

[tex]A(-1,-8)[/tex]

Answer:

its -1,-9

Step-by-step explanation:

Answer:

No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.

Step-by-step explanation:

The sampling as per its nature should be classed as convenience sample because of its definition: this method covers part of the  population with easy to reach or close to hand.

This involves only those who will access the website and this can not be considered as representative of national public opinion.

Let's see the answer options:

No. This convenience sample is very biased and is highly unlikely to be representative of national public opinion.

Yes. This convenience sample is appropriate for the limited resources of a news website and is likely to be representative of the population.

Yes. This simple random sample is ideal and will be representative of the population.

No. This systematic sample is very biased and is highly unlikely to be representative of national public opinion.

Answer:

It would be option A. 10 Minutes.

Step-by-step explanation:

If you look at the graph, the farthest point, and the time of 10 minutes meet at the point (10, 2,500)

(Really hoping this helps <3)

Answer:

A. 224 messages per hour

B. 256 messages per hour

C. 544 messages per hour

D. 1296 messages per hour

Step-by-step explanation:

First you need to figure out how many messages Nick wrote in 1 hour

36 messages ÷ 2.25

2.25 hours ÷ 2.25

=

16 messages

1 hour

=

16 messages

hour

Then you multiply how ever many hours by 16 because Nick can write 16 messages in 1 hour.

Answer:

511

Step-by-step explanation:

ok

Answer. i believe this is your answer 0.00051177072

Answer:

$306.40

Step-by-step explanation:

Multiply 15.32 by 20

a. −4

b. 2

c. −125

d. −1,348

e.  27

f. 398

Answer:

11,524,869

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1+1+1+1+1+46\times \:7\times \:7\times \:7\times \:75\times \:8\times \:56+4+6+8\\\\\mathrm{Multiply\:the\:numbers:}\:46\times \:7\times \:7\times \:7\times \\\:75\times \:8\times \:56\\\\\\=530140800\\\\=1+1+1+1+1+530140800+4+6+8\\\mathrm{Add\:the\:numbers:}\:1+1+1+1+1+530140800+4+6+8\\=530140823[/tex]

Answer:

Here  x=2−3–√ ................…………………………………….....(1)

Hence  12−3√=12−3√⋅2+3√2+3√=2+3–√ .....................(2)

From (1) and (2) we get  x+1x=4 .......……………………………....(3)

and  x−1x=−23–√ ...............…………………….………....(4)

From (3) and (4) we get  x2−1x2=(x+1x).(x−1x)=−83–√.

Hoped I helped

It does not deal with numeric values, but rather we're talking about names or labels when we are talking about nations of origin. This variable is categorical and nominal. It is not ordinal as we cannot order the nations in any way. You could argue about alphabetical ordering of course, but that won't apply here because you could do that about any set of labels (eg: colors red,green,blue can be ordered alphabetically but intrinsically it doesn't make sense to sort colors).

Since "nation of origin" involves categories or labels representing different countries, it is considered a qualitative variable.

We have,

Qualitative variables, also known as categorical variables, represent characteristics or qualities that cannot be measured numerically.

These variables typically involve categories or labels that describe different groups or attributes.

In the case of "nation of origin," it refers to the country from which someone originates.

This variable is qualitative because it involves different categories or labels representing different nations or countries.

Examples of possible categories for nation of origin include "United States," "Canada," "France," "China," and so on.

Therefore,

Since "nation of origin" involves categories or labels representing different countries, it is considered a qualitative variable.

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Answer:

degrees of freedom = 15

tc= 1.746

Step-by-step explanation:

The degrees of freedom is given by n-1 where n is the sample size .

so the degrees of freedom for a t distribution is 16-1= 15

Now we have to find tc for 95%  confidence interval. For this we look at the t- table under the 1-0.95= 0.05  for alpha for 15 degrees of freedom and the value is 1.746

This area is to  the right side under the t distribution with the given degrees of freedom for the given alpha.

It can also be found out by other calculators such as graphing calculator.

Using the degree of freedom formula and the Tcritical distribution, the degree of freedom and Tcritical value are 15 and 2.131 respectively

Given that :

Hence, the degree of freedom, df = 16 - 1 = 15

The t critical value :

Tcritical = [tex]t_{\frac{0.05}{2}}, 15 = 2.131 [/tex]

Hence, the Tcritical value is 2.131.

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Week one:

36 * 6.70 = $241.20

Week two:

40 * 6.85 = $274

Subtract:

274 - 241.20 = $32.80

Therefore, he made $32.80 more the second week then he did the first week.

Best of Luck!

Answer:

x=7/3

Step-by-step explanation:

To solve the equation we have to isolate x.

So first we distribute on the left side

-4x+4=2x-10

then we add 4x to both sides

4=6x-10

add 10 to both sides

14=6x

divide both sides by 6

x=7/3

Answer:

Given series is divergent

Step-by-step explanation:

Step(i):-  

By using Ratio test

                [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]

a)     [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]  

'l' is finite then the given ∑aₙ is convergent

b)   [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = l[/tex]  

Here 'l' is infinite then the  ∑aₙ  is divergent

Step(ii):-

Given      aₙ = [tex]\frac{n!}{n}[/tex]

            [tex]a_{n+1} = \frac{(n+1)!}{n+1}[/tex]

     [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{(n+1)!}{n+1} }{\frac{n!}{n} } |[/tex]

               we know that  n ! = n (n-1) (n-2) ......3.2.1

              and also          (n+1) ! = (n+1)n!

  [tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} |\frac{\frac{n+1)n!}{n+1} }{\frac{n!}{n} } |[/tex]

[tex]\lim_{n \to \infty} |\frac{a_{n+1} }{a_{n} } | = \lim_{n \to \infty} n[/tex]

                       = ∞

Given sum of the series is divergent

Answer:

i will try to see

Step-by-step explanation:

i will try to solve if i can answeer it

Answer:

72

Step-by-step explanation:

Initial ratio of maple trees to oak trees

New ratio  of maple trees to oak trees

Number of oak trees = 132

Number of maple trees

Total number of trees

Initial number of maple trees

The difference in the number of maple trees:

Answer:

72 more trees before the bug problem

Step-by-step explanation:

The ratio was 9:5 before the bug problem and 3:11 after.

After the bug problem there were 132 oak trees,

m : 132 = 3 : 11

Then we know

m/132 = 3/11

Multiplying both sides by 132 cancels on the left

132 × (m/132) = (3/11) × 132

m = (3/11) × 132

Then solving for m

m = 132 × (3/11)

m = 36   This gives us the number of trees after the bug problem.

This would give us 168 trees in total, 132 oak, and 36 maple.

Since there is the same number of trees as before we calculate the number of maple and oak previously.

If Shelley counted 9 maple for every 5 oak we know that 9 out of 14 trees are maple and 5 out of 14 trees are oak.

9/14 = .6428 which is the percentage of maple trees before the bug problem.

We multiply .6428 x 168 (the total number of trees) and we get 108.

if there are 108 maple trees then 168-108 = 60 oak trees.

Further proof:

9:5 or 9/5 = 1.8     108/60 = 1.8

108 maple trees and 60 oak before the bug problem.

So 108 (maple before bug problem) and 36 maple trees after:

108 - 36 = 72 more trees before the bug problem

Answer:

i hope this answer will help

Step-by-step explanation:

6(4T-3)+6(4-3T) =0

24T-18+24-18T =0

6T+6=0

6T=-6

T=-6/6

T=-1

Answer:

[tex]x = -5[/tex]

Step-by-step explanation:

[tex]5(2) - 3x = 25\\10 - 3x = 25\\-15 = 3x\\-5 = x[/tex]

Step-by-step explanation:

The solution is shown in the image above

Answer:

Falling

Step-by-step explanation:

You have to convert it into slope-intercept form(y=mx+b) to find out. TO do this, you subtract 4x from the left, so it would be y=-4x-3. -4x is the slope, and since it is negative, it is falling.

Answer:

rising positive slope

Step-by-step explanation:

Answer:

2.5075

Step-by-step explanation:

If the sales tax rate is 7.375% in New York State then how much sales tax would you pay in Albany for a $34 pair of pants

Sales Tax. If the sales tax rate is 7.375% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? 34.00 x 0.07375 = 2.5075.