How is the expression 4^-2 written using a positive exponent

Answer:

See belolw

Step-by-step explanation:

[tex]P=53\text{ft}[/tex]

[tex]P = a+b+c[/tex]

[tex]53=2x-15+x+1+3x-29[/tex]

[tex]53=6x-43[/tex]

[tex]96=6x[/tex]

[tex]x=16[/tex]

[tex]a=2x-15[/tex]

[tex]a=2(16)-15[/tex]

[tex]\boxed{a=17}[/tex]

[tex]b=x+1[/tex]

[tex]b=16+1[/tex]

[tex]\boxed{b=17}[/tex]

[tex]c=3x-29[/tex]

[tex]c=3(16)-29[/tex]

[tex]\boxed{c=19}[/tex]

Answer:

1. x=16, a=17, b=17, c=19

2. k=-2

Step-by-step explanation:

1.

We can set up an equation where all the labeled sides add up to 53, and then find x:

(2x-15)+(x+1)+(3x-29)=53

6x-43=53

6x=96

x=16

Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:

a=2(16)-15=17

b=16+1=17

c=3(16)-29=19

2.

Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:

[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

[tex]z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67[/tex]

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

Answer:

f(x)= 2/3x + 1

Step-by-step explanation:

Answer:

A. f(x) = 2/3x + 1

Step-by-step explanation:

Your y-intercept is + 1 because it the line crosses the y-axis at (0,1)

The slope is +2/3 because it rise up 2 units then right at 3 units; sloping to the right (positive slope)

Answer:

The answer will be $39  :)

Answer:

$39

Step-by-step explanation:

Answer:

20*15=300

He earned $300

The correct answer is option (3)

Hope It Helps Uh! ❤

Slope = - 3

y-int = - 1

Understanding slope intercept

y = mx + b

y = Slope(x) + y-intercept

y = -3x - 1

y = (-3)x + (-1)

Slope = - 3

y-int = - 1

Hope this helps,

Answer:

1.b 2.a      i hope this is right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The formula of the area of a triangle is 1/2 times base times height

1/2 .4.2 equals 4

Answer:

5x^3-7x^2

Step-by-step explanation:

Answer: i think -26

Step-by-step explanation: (3ₓ³+ₓ²)+2(ₓ³-4ₓ²)=-26

Find roots (zeroes) of :       F(x) = 5x3+x2-32

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  5  and the Trailing Constant is  -32.

The factor(s) are:

of the Leading Coefficient :  1,5

of the Trailing Constant :  1 ,2 ,4 ,8 ,16 ,32

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -36.00      

     -1       5        -0.20        -32.00      

     -2       1        -2.00        -68.00      

     -2       5        -0.40        -32.16      

     -4       1        -4.00        -336.00      

Note - For tidiness, printing of 19 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

-26

Answer:

x = 1/3 or .333

Step-by-step explanation:

Answer:

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Step-by-step explanation:

i got it right

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

A number expressed as a quotient, in which a numerator is divided by a denominator.

As, per the diagram there are total of 10 columns out of which 8 are shaded blue.

So, if we write the fraction of shaded part it will be 8/10.

So,  in word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Answer:

6+5=11

Step-by-step explanation:

6*5=30

Lowest numbers possible

Answer:

c

Step-by-step explanation:

because like it would happen in real life yk and the others dong make sense at all

tell me if its right

Answer:

c)scene

according to me

Answer:

11.5

Step-by-step explanation:

Divide: 159:6-15

Calculate: 26.5-15

\\11.5//

Answer:

24.8333 with 3 repeating.

Step-by-step explanation:

Lets make an equation for this.

159 - x = 15

X is what we are loooking for so lets isolate it.

Subtract 159 on both sides.

-x = -149

Since both are negative we need to simply cross it out.

x = 149

Now he bought six books, so divide 149 by 6.

You would get 24.8333 with the 3 repeating.

Answer:

-40

Step-by-step explanation:

Answer:

-40

-2 x 5=-10

You have the 4 and you need to multiply it by -10

-10 x 4 =-40

Answer:

7.14

Step-by-step explanation:

Answer:

Question states;



.

w = 2/3in

.

Perimeter = 2*l + 2*w

 

.

 

P = 24/3in 

P = 8in 

Answer:

[tex]105 \frac{3}{10}[/tex], so most likely G

Step-by-step explanation:

[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]

First, we convert to a fraction. Then, we simplify.

[tex]y + 7 = - \frac{2}{3}(x + 6) \\ [/tex]

[tex]y + 7 = - \frac{2}{3}x - 4 \\ [/tex]

Subtract sides -7

[tex]y = - \frac{2}{3}x - 4 - 7 \\ [/tex]

Thus ;

[tex]y = f(x)= - \frac{2}{3}x - 11 \\ [/tex]

So the correct answer is (( A )) .

Answer:

134

Step-by-step explanation:

Your answer is simply 134

Answer:

Car Z has better petrol consumption. Choice C. Z

Step-by-step explanation:

Petrol Consumption

Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon

Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.

This means that car Z has better petrol consumption. Choice C. Z

Answer:

B.) X less than or equal to 16.5

Step-by-step explanation:

If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.

Answer:

x ≤ 16.5

Step-by-step explanation:

40 ≤ 2t + 7 Subtract 7 from both sides.

40 - 7 ≤ 2t + 7 - 7

33 ≤ 2t Divide both sides by 2.

[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]

16.5 ≤ t or t ≥ 16.5

Answer:

([tex]x[/tex], [tex]y[/tex]) = (30, 16)

Step-by-step explanation:

First find the similarity

Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:

50 ÷ 20 = 2.5

The similarity between the 2 triangles is 2.5.

Now find the length of [tex]x[/tex] on the longer one, use the shorter one's length and the similarity:

12 × 2.5 = 30

So the length of [tex]x[/tex] is equal to 30

Now lets find [tex]y[/tex], lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:

40 ÷ 2.5 = 16

[tex]y[/tex] = 16

WooHoo! ([tex]x[/tex], [tex]y[/tex]) = (30, 16)