Is there a difference between all real numbers and infinitely many solutions?

Answer:

12 ft²

Step-by-step explanation:

The figure is composed of 2 triangles.

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

A of upper triangle = [tex]\frac{1}{2}[/tex] × 4 × 3 = 2 × 3 = 6 ft²

A of lower triangle = [tex]\frac{1}{2}[/tex] × 4 × 3 = 2 × 3 = 6 ft²

Thus

area of figure = 6 + 6 = 12 ft²

Answer:

x = 4

Step-by-step explanation:

multiply both sides by six to get rid of the fractions: -5 x = - 20

divide both sides by -5: x = 4

Answer:

Step-by-step explanation:

40km is the bearing

Answer:

See the attachment below.

Step-by-step explanation:

Best Regards!

Answer:

[tex]12x^2-4x+3[/tex]

Step-by-step explanation:

Parentheses do not matter in this equation.

[tex](10x^2-11x+8)+(2x^2+7x-5)=\\10x^2-11x+8+2x^2+7x-5=\\12x^2-11x+8+7x-5=\\12x^2-4x+8-5=\\12x^2-4x+3[/tex]

Our answer is [tex]12x^2-4x+3[/tex]

Answer:

27.75

Step-by-step explanation:

30.75 - 3

Subtract the terms.

= 27.75

Answer:

b

Step-by-step explanation:

30.75 divided by -3 = -10.25

Answer:

The total current drawn is 6.05 amps

Step-by-step explanation:

Simply add the current that each appliance draws, to get the total current required. Notice that they are all given in the same units (amps), so there is no units conversion needed:

Electric iron  :  4.12 amps

Clock;    0.02  amps

light bulb :  0.91 amps

motor :  1 amp

Total current : 4.12  amps + 0.02 amps + 0.91 amps + 1 amp = 6.05 amps

Answer:

$1720.0931 will earn as interest in 2 years

Step-by-step explanation:

Principal = $7411

Rate of interest = 11% compounded annually

Time = 2 years

Formula : [tex]A = P(1+r)^t[/tex]

[tex]A=7411(1+0.11)^2[/tex]

A=9131.0931

Interest = Amount - Interest =$9131.0931 - $7411

Interest = $1720.0931

Hence  $1720.0931 will earn as interest in 2 years

Answer:

y= 2/3x + 2

Step-by-step explanation:

Answer:

y = 2/3x − 2.

Step-by-step explanation:

We essentially just want a  y  on the left side, so let's subtract 2x from both sides to get  −3y = −2x + 6.

Lastly, let's divide both sides by −3 to get y = 2/3x − 2.

Our equation is now in slope-intercept form, where the slope is 2/3 and our y-intercept is −2.

Answer:

C

Step-by-step explanation:

An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.

Answer:

Rs.64

Step-by-step explanation:

Amount of oranges:

Oranges sold:

Money made:

Selling price of 150 kg:

Cost price:

Answer:

Rs64.00/kg  

Step-by-step explanation:

1. Calculate the amount of good oranges

Total amount of oranges    = 150 kg

Amount of rotten oranges =    18 kg

Amount of good oranges    = 132 kg

2. Calculate the income from  the good oranges

[tex]\text{Income} = \text{132 kg} \times \dfrac{\text{Rs80}}{\text{1 kg}} = \text{Rs10 560}[/tex]

3. Calculate the net unit rate of income

The income from the good oranges was Rs10 560.

Based on 150 kg of oranges, the unit rate of income was

[tex]\text{Unit rate of income} = \dfrac{\text{RS10 560}}{\text{150 kg}} = \text{Rs70.40/kg}[/tex]

4. Calculate the original unit rate of cost

Let x = original unit cost. Then

0.10x = 10 % of original unit cost and

1.10x = 10 % over original unit cost

1.10x = RS70.40/kg

        x = (RS70.40/kg)/1.10 = Rs64.00/kg

The original unit rate of cost was Rs64.00/kg.

Answer:

After five hours, there will be 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Step-by-step explanation:

We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.

We are also given that the initial amount is 80 mg.

Using this information, we can write the following function:  

[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]

Where x is the number of hours that has passed.

Using this function, we can evaluate for f(5), f(10), f(1), and f(2).

They evaluate to:

[tex]f(5)=40[/tex]       [tex]f(10)=20[/tex]       [tex]f(1)\approx 69.6440[/tex]     [tex]f(2) \approx 60.6287[/tex]

So, after five hours, there are 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg of caffeine.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Answer:

4.4 km/h

Step-by-step explanation:

From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h

So the trick is to express the 30 minutes as 1/2 hour.

Answer:

4.4 km/h

Step-by-step explanation:

Answer:

f(3) is 30

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

About 2.6 feet

Step-by-step explanation:

The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side. Therefore:

[tex]\tan 17= \dfrac{x}{8.6} \\\\x=\tan 17 \cdot 8.6\approx 2.6[/tex]

Hope this helps!

Answer:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Step-by-step explanation:

Information given:

[tex] n=131[/tex] represent the sample size

[tex] \hat p=0.81[/tex] represent the estimated proportion

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 98% confidence interval the value of [tex]\alpha=1-0.98=0.02[/tex] and [tex]\alpha/2=0.01[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=2.326[/tex]

And replacing into the confidence interval formula we got:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Answer:

14 feet OR 168 inches

Step-by-step explanation:

4 tables multiplied by 42 inches equals 168 inches total

168 inches divided by 12 inches per feet equals 14 feet.

Answer:

Which value of a in the exponential function below would cause the function to stretch?

(one-third) Superscript x

0.3

0.9

1.0

1.5

Step-by-step explanation:

Answer:

This can form a triangle

Step-by-step explanation:

Taking the two smaller segments

The larger segment must be greater than the sum of the two smaller

6+5 > 8

11>8 true

Answer:

there is one possible value: 0.

Step-by-step explanation:

We have 10 different letters in this fraction {G,R,O,U,N,D,B,A,S,E} and only 10 different digits {0,1,2,3,4,5,6,7,8,9}. It means that some letter must be equal to 0. Consider two cases:

I case:

[tex]0 \in \{G, R, O, U, N, D\}[/tex]. Then enumerator of fraction must be equal to zero (because product of numbers with zero among them always zero).

So [tex]\frac{GROUND}{BASE} = \frac{0}{BASE} = 0[/tex] in this case.

II case:

[tex]0 \in \{B,A,S,E\}[/tex]. Then for the same reasons as in I case denominator of fraction is equal to zero. And we know that fraction

[tex]\frac{BASE}{0}[/tex] is not well-defined.

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]:, Segment subtended by the same angle on two adjacent parallel lines are congruent

Step-by-step explanation:

Statement,                                              Reason

MNOP is a parallelogram:,                     Given

[tex]\overline{PM}\left | \right |\overline{ON}[/tex]:,                                               Opposite sides of a parallelogram

∠PMO ≅ ∠MON:,                                    Alternate Int. ∠s Thm.

[tex]\overline{MN}\left | \right |\overline{PO}[/tex]:,                                               Opposite sides of a parallelogram

∠POM ≅ ∠NMO:,                                    Alternate Int. ∠s Thm.

OM ≅ OM:,                                               Reflexive property

[tex]\overline{PM}\cong\overline{ON}[/tex]:,                                               Segment subtended by the same                                                                                                                              angle and on two adjacent parallel lines are congruent

Answer:

The first option from the picture

Step-by-step explanation:

In the picture attached, the question is shown.

In the first option:

The formula for calculating the standard deviation of sample data is expressed as    [tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

A lower value of the standard deviation shows that value is close to the mean otherwise it is far from the mean

The formula for calculating the standard deviation of sample data is expressed as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2}{N} }[/tex]

Assume we have the following data x1, x2, ....xn, the standard deviation will be given as:

[tex]\sigma=\sqrt{\frac{\sum(x_1-\overline x)^2+(x_2-\overline x)^2+...(x_n-\overline x)^2)}{N} }[/tex]

Learn more on standard deviation here: https://brainly.com/question/475676

Answer:

columns: likes roller coasters, doesn’t like roller coasters;

rows: likes water rides, doesn’t like water rides

Step-by-step explanation:

You want to aks to your friends if they like or not water rides and roller coasters.

In a two-way table, a person goes only in one of the columns and only in one of the rows. Then, the columns would be: like A, doesn't like A; and the rows: like B, doesn't like B. Therefore if 10 people like roller coasters and don’t like water rides:

                                            likes roller coasters       doesn’t like roller coasters

likes water rides          

doesn’t like water rides                  10

Answer:

C

Step-by-step explanation:

BELIVE IT

Answer:

n = 20

Step-by-step explanation:

4n + 14 - 5n = -6

(4n - 5n) + 14 = -6      Combine like terms

-n + 14 = -6

    -14    -14                Subtract 14 from both sides

-n = -20

/-1    /-1                        Divide by -1

n = 20

Answer:

n = 20

Step-by-step explanation:

[tex]4n+14-5n=-6[/tex]

So we have to simplify the equation.

4n + -5n = -n

So our equation looks like this now -> [tex]-n+14=-6[/tex].

So now to get -n by itself we get 14 and -6 by itself.

So we do -6 - 14 and we get -20.

So our equation looks like [tex]-n=-20[/tex].

So now we have to make n positive we do -n ÷ -1 which is n.

And since we divided -n by -1 we have to divide -20 by -1 which is 20.

So n is 20.

Answer:

A, B

Step-by-step explanation:

Point C is greater than 4 because it is at 6.

6 is greater than 4.

Point A is less than Point B, -8 is less than 4.

===============================================

Work Shown:

P = area of triangle

P = 0.5*base*height

P = 0.5*5*4

P = 10 square units

----------------

Q = area of square

Q = side*side

Q = 5*5

Q = 25 square units

----------------

R = area of trapezoid

R = height*(base1+base2)/2

R = 5*(7+5)/2

R = 5*12/2

R = 60/2

R = 30

----------------

T = total area of the entire figure

T = P+Q+R

T = 10+25+30

T = 65 square units

Answer: 71 sq. units

Step-by-step explanation:

formula: 1/2bh + lw + 1/2h(b1+b2)

1/2(20) + (25) + 1/2 (6) (12)

10 + 25 + (3) (12)

10+ 25 + 36 = 71

Answer:The answer is C 20 cm^3

Step-by-step explanation:

You just multiply 2 by 2 and get 4 and you have 5 squares and you get 4 times 5 which is 20 cm^3

Answer:

Divide the figure into 5 squares.

then find the area 1 square and multiply with 5.

Area of square=s*s

                       =4 cm²

Then 5*4=20 cm²

so c is the correct option.

              HOPE IT HELPS!

Answer:

[tex]x^2 = -16y[/tex]

Step-by-step explanation:

Given

[tex]Vertex = (0,0)\\Focus = (0,-4)[/tex]

Required

Equation of the parabola (in standard form)

The standard form of a parabola is [tex](x - h)^2 = 4p (y - k),[/tex]

Such that

Vertex = (h,k)

Focus = (h, k + p)

For the vertex

This implies that (h,k) = (0,0)

h = 0 and k = 0

For the focus

This implies that (h, k + p) = (0, -4)

[tex]h = 0\\k + p = -4[/tex]

Recall that [tex]k = 0;[/tex]

Hence, [tex]0 + p = -4[/tex]

[tex]p = -4[/tex]

Substitute [tex]p = -4[/tex], [tex]h = 0\ and\ k = 0[/tex] in the given formula

[tex](x - h)^2 = 4p (y - k),[/tex] becomes

[tex](x - 0)^2 = 4 * -4 (y - 0),[/tex]

[tex](x)^2 = 4 * -4 (y),[/tex]

[tex]x^2 = -16 (y),[/tex]

[tex]x^2 = -16y[/tex]

Hence,, the standard form is [tex]x^2 = -16y[/tex]

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

Answer:  

24m-28

Step-by-step explanation:

(6m-7)x4

24m-28

Answer:

24m-28

Step-by-step explanation:

4 * 6m = 24m

4*-7 = -28