Please solve the 2 questions about area below

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

Answer:

0

Step-by-step explanation:

Because

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

[tex] \displaystyle h = 29.4t - 4.9 {t}^{2} [/tex]

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

[tex] \displaystyle \rm t= \frac{ - b}{ 2a} [/tex]

[tex]\displaystyle H_{\text{max}}=f(t)[/tex]

notice that, our given function is not in standard form i.e

[tex] \displaystyle f(x) = a {x}^{2} + bx + c[/tex]

let's make it so

[tex] \displaystyle h = - 4.9 {t}^{2} + 29.4t[/tex]

therefore we got

our a is -4.9 and b is 29.4

so substitute:

[tex] \displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9} [/tex]

remove parentheses and change its sign:

[tex] \displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9} [/tex]

simplify multiplication:

[tex] \displaystyle\rm t= \frac{ -29.4}{ - 9.8} [/tex]

simplify division:

[tex] \displaystyle \: t = 3[/tex]

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2[/tex]

simplify square:

[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9[/tex]

simplify mutilation:

[tex]\displaystyle H_{\text{max}}=88.2-44.1[/tex]

simplify substraction:

[tex]\displaystyle H_{\text{max}}=44.1[/tex]

hence,

the maximum height of the baseball is 44.1 metres

Answer:

Solution given:

height

h=29.4t – 4.9t²

differentiating each term with respect to time (t)

[tex] \frac{d'(h)}{d(t)} [/tex]=[tex] \frac{d(29.4t – 4.9t²)}{d(t)} [/tex]

[tex] \frac{d'(h)}{d'(t)} [/tex]=29.4-9.8t

again second derivative

[tex] \frac{d''(h)}{d"(t)} [/tex]=-9.8

for maximum, minimum

first derivative =0

29.4-9.8t=0

t=[tex] \frac{29.4}{9.8} [/tex]=3

So it attains maximum height at t=3

so

maximum height=29.4×3-4.9×3² =44.1meters

So.

maximum height of the basketball is 44.1meters

Answer:

i cant see the graph

Step-by-step explanation:

Answer:

B. 28

Step-by-step explanation:  

Answer:

B. 28

Step-by-step explanation:

for every 4 boys there is 3 girls

so,

from 4 to 16 you multiply by 4,

4 x 4 = 16 (what you do to one you do to the other:

4 x 3 = 12

It's asking for the total amount

if there is 16 boys there is 12 girls with the ration of 16:12

add them up,

16 + 12 = 28 (That's your answer).

Answer:

6 x 4 = 24 divided by 2 = 12

6 + 3 = 9 x 4 = 36 divided by 2 = 18

so 12 + 18 = 30m2

Formula of a triangle:

BH x 1/2 (basically dividing by 2)

Area of a Trapezoid:

B1 (Base 1) + B2 (Base 2) x Height (H) x 1/2 (basically dividing by 2)

9514 1404 393

Answer:

  (b)  82

Step-by-step explanation:

The Pythagorean theorem tells you the length of MP is ...

  MP = √(CM² -CP²)

  MP = √(67² -53²) = √1680 ≈ 40.988

The length of MN is twice this, so is ...

  MN = 2×MP = 2×40.988 = 81.976

Rounded to the nearest tenth, ...

  MN ≈ 82.0

Answer:

2.57

The mean variation in the number of pieces of fruits eaten by the classmates is 2.57

Step-by-step explanation:

Given the data:

X = 9, 4, 6, 2, 11, 10,7

The mean absolute deviation = Σ|x - xbar| / n

Xbar = mean value = Σx / n

n = sample size

The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7

Xbar = 49 / 7 = 7

Take the sum of the absolute value of the difference between the mean and x ;

Σ|x - xbar| / n =

= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7

= 2.57

Answer:

We can conclude that there is significant evidence that Northwood residents owned their homes for a longer period of time compare to residents in the Southlake area

Step-by-step explanation:

H0 : μ1 = μ2

H1 : μ1 < μ2

Given :

n1 = 14 ; n2 = 28

x1 = 7.4 ; x2 = 9.1

s1 = 2.3 ; s2 = 2.9

α = 0.05

Test statistic :

(x1-x2) ÷ sqrt[(((n1-1)*s1² + (n2-1)*s2²) ÷ df) * (1/n1+1/n2)]

(7.4 - 9.1) ÷ sqrt[(((13*2.3^2) + (27*2.9^2)) ÷ 40) * (1/14 + 1/28)]

t = -1.7 ÷ sqrt[((68.77 + 227.07) / 40) * 0.1071428]

t = -1.7 ÷ sqrt(0.7924281488)

t = - 1.7 ÷ 0.8901843

t = - 1.909

t = - 1.91

The Pvalue :

P(t < - 1.91) = 0.028067

At α = 0.05 ;

Pvalue < α ; We reject the Null

We can conclude that there is significant evidence that Northwood residents owned their homes for a longer period of time compare to residents in the Southlake area

Answer:

It would be A

Step-by-step explanation:

Answer:

(x+4)(x+5)=0

Step-by-step explanation:

Hope this helped!!!

Answer:

98 bracelets are in the box

Answer:

112

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 17 + 2x + 5 + 3x - 16 = 180

6x + 6 = 180

6x = 180 - 6

6x = 174

x = 29

Step-by-step explanation:

Números de personas: 18,847 in 2020

Answer:

Ernesto's construction is wrong.

Step-by-step explanation:

Ernesto's construction is wrong.

This is because when bisecting an angle, the first thing we do is to place the compass at the vertex of the angle we want to bisect and draw an arc that will cross both lines that form the angle.

In Ernesto's case the arc drawn was not a single one but drawn separately as is seen in the image.

The arc on line AV does not continue to line VI but instead he drew another arc with different compass width on line VI before bisecting the angle.

Answer:

12

Step-by-step explanation:

Answer:

11 songs

Step-by-step explanation:

11 songs would leave him with $10.30 left

Answer:

A. In vertex form, f(x) = 2(x - 2)² +1 and therefore has a minimum value of 1.

Step-by-step explanation:

Function is given as;

f(x) = 2x² - 8x + 9

From quadratic formula, we know that;

a = 2

b = -8

c = 9

Now, x-coordinate of the vertex is;

x = -b/2a

x = -(-8)/2(2)

x = 2

Let's find the y-coordinate;

f(2) = 2(2)² - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

Thus, y-coordinate = 1

This means the vertex coordinate is (2, 1)

Now, vertex form of a quadratic equation is;

f(x) = a(x - h)² + k

Where, (h, k) is the coordinate of the vertex and a is the first term as earlier seen.

Thus;

f(x) = 2(x - 2)² + 1

Now, the leading coefficient is positive and so it means that the parabola will open upwards and thus, will have a minimum value of 1.

Answer:

True

For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).

Hope that helps!

Step-by-step explanation:

Answer:

$11343.13

Step-by-step explanation:

From the given information:

Principal = 3000

rate = 7% = 0.07

time = 19 years.

The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:

[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]

Answer:

r = 8.28

Step-by-step explanation:

Circumference of a circle:

C = 2πr

52 = 2(3.14)r

52 = 6.28r

r = 52/6.28

r = 8.28

Answer:

hi!!! the answer is x = weight in pounds of bananas in the basket!

hope that helped

Step-by-step explanation:

so we have the total of the apple in the basket so we already know the apple but we need to know the bananas weight in the basket!

Answer and Step-by-step explanation:

The negatives cancel out, so the negative 5 becomes a positive (adding) 5.

[tex]-2\frac{1}{3} = -\frac{7}{3}[/tex]

[tex]-\frac{7}{3} + 5 = \frac{8}{3} = 2\frac{2}{3}[/tex]

The answer choice that is correct is the last one.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

Answer:

The answer is 26

Step-by-step explanation:

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \orange{ \boxed{ \boxed{ \huge{ \tt{{ \: 26 \: }}}}}}[/tex]

Answer:

1,485

Step-by-step explanation:

The formula for area is A=bH (base x height) so you multiply 45 x 33

Answer:

D, I think

Step-by-step explanation:

Answer:

A) The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts.

B) Count the number of each kind of nut, assuming the company's percentages are based on counts rather than weights.

Step-by-step explanation:

The Test of Goodnes for fit is based on the property that the χ² test is applicable when the cell probabilities depend on unknown parameters, provided that the unknown parameters are replaced with their estimates and provided that the one degree of freedom is deducted from each parameter estimated.

1) So if the estimates ( counts) are missing the test is not applicable.

2) Percentages if treated as counts can be used for the χ² test.

Answer:

A because if you times 14 by three it would become 42 and always inequalities have to multiply.

Hope I helped :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

v/3 ≤ - 14

x 3    x 3

v ≤ -42

Answer:

D) 16

Step-by-step explanation:

it is going up by twelve each time.

so add twelve to 4 to get the answer.