Hi! Im struggling with this question and how to solve it

Answer:

Step-by-step explanation:

Answer:

The exact same from when it went up

Step-by-step explanation:

it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head

The cost of wrapping both boxes would be = $1.13

Surface Area of a rectangular prism = 2 (lh +wh + lw )

where length = 0.6

width = 1

height =1.2

The surface area of Box A

= 2( 0.6×1.2+1×1.2+0.6×1)

= 2( 2.52)

= 5.04ft²

where length = 0.5

width = 1.6

height =1.6

Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)

= 2(4.16)

= 8.32ft²

The total area of the boxes = 5.04+8.32 = 13.36

But 6.79 = 80 ft²

X = 13.36ft²

make X the subject of formula;

X = 13.36×6.79/80

X = 90.7144/80

X= $1.13

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The value of {h} is equivalent to 6/5.

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given is the function as follows -

(1/5) + h = (7/5)

We can write the function as -

(1/5) + h = (7/5)

h = 7/5 - 1/5

h = (7 - 1)/5

h = 6/5

Therefore, the value of {h} is equivalent to 6/5.

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Answer:1.8(x -1)

2.0.4a -7

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

4 dogs times 2 cups = 8 cups. 8 cups times 12 days = 96 cups in bag. 96 plus two days worth (16) = 112

Hope this helps!

p.s. you could just do 8 times 14, but that's not as fun. ;)

Answer:

30 and 32

Step-by-step explanation:

30 31 32

Answer:

30 and 32

Step-by-step explanation:

Because 31 is an odd numbers must be even. Just subtract 1 from 31 to get 30 and add 1 to 31 to get 32. Another way, just look at a number line and 31 is in between 30 and 32.

The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.

The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.

The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)

Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,

\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)

The required answer is -4824 N/C.

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Answer:

b = \(\frac{ln190}{ln200}\)

Step-by-step explanation:

Using the rule of logarithms

log \(x^{n}\) ⇔ nlogx

Given

190 = \(200^{b}\) ( take the natural log ln of both sides )

ln190 = ln\(200^{b}\) = bln200 ( divide both sides by ln200 )

\(\frac{ln190}{ln200}\) = b

The area of the shaded region is  104 cm²

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

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The system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is

StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout. Option B

This is further explained below.

a curve in an open plane that is symmetrical and open at both ends and created by the intersection of a cone with a plane that is parallel to the side of the cone. Under the influence of gravity, the route taken by a projectile takes the form of a curve similar to this one.

Generally,  Every single pair of equations begins with an equation representing a circle as their initial problem.

Because you are interested in finding out whether the sailboat is within 5 miles of the coordinates (1,2), you will set the radius of the circle to 5.

The calculation for a circle reveals that the square of the radius should be used. In this case, the answer is 25. So far, it seems that answers two and four are correct.

Following this, the vertex will be shown to you as (h,k) (2,-6). When we look at the equation of a parabola, we want to find a solution that has a k value of -6, so our search begins there.

In conclusion,  the system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is

StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout

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Answer:

b

Step-by-step explanation:

on edge

1. The mean age of the team is 21 years.

2. The age of the new player is 34 years

1. From the information, the following can be deduced:

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

Mean = Age × Frequency / Sum of frequency

= [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

Sun of frequency = 2 + 3 + 1 + 4 + 1= 11

Mean(X) = 230 / 11

X = 21

The mean is 21 years.

2. A new player joins and raises it to 22 years. Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

The age is 34 years.

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Complete question

The table shows the ages of players on a football team.

Age

Frequency

a) Work out the mean age of the team.

Round your answer to 1 decimal place.

19

2.

20

3

21

1

b) A new player joins the team and raises

the mean age to 22.

22

4

23

1

Work out the age of this new player

Answer:

x < -8

Step-by-step explanation:

−3x>24

Divide each side by negative 3, remembering to flip the inequality

-3x/-3 < 24/-3

x < -8

Answer:

x<-8

Step-by-step explanation:

−3x>24

Multiply both sides by (-1) (reverse the inequality)

(-3x)(-1)<24(-1)

Simplify;

3x<-24

Divide both sides by 3

3x/3<-24/3

Simplify

3x/3<-24/3

Simplify; 3x/3

=x

Simplify; -24/3

Divide the numbers;24/3=8

=-8

x<-8

Hope this helped!!!

The inequality is y < 2x - 3 and the graph of the inequality is graph (a)

The inequality is given as:

y + 2x < 4x - 3

Subtract 2x from both sides of the inequality

y < 2x - 3

The above inequality uses the < symbol.

This means that the line of the inequality is a dotted line, it is shaded to the right and it crosses the y-axis at y = -3

Hence, the graph of the inequality is graph (a)

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Answer:

10 yd

Step-by-step explanation:

Answer:

\((a)\ P(White) = \frac{1}{2}\)

(b) 10 additional white balls

(c) 10 additional black balls

Step-by-step explanation:

Given

\(White = 5\)

\(Black =3\)

\(Red = 2\)

Solving (a): P(White)

This is calculated as:

\(P(White) = \frac{White}{Total}\)

\(P(White) = \frac{5}{5+3+2}\)

\(P(White) = \frac{5}{10}\)

\(P(White) = \frac{1}{2}\)

Solving (b): Additional white balls, if \(P(White) = \frac{3}{4}\)

Let the additional white balls be x

So:

\(P(White) = \frac{White+x}{Total+x}\)

This gives:

\(\frac{3}{4} = \frac{5+x}{10+x}\)

Cross multiply

\(30+3x = 20 + 4x\)

Collect like terms

\(4x - 3x = 30 - 20\)

\(x = 10\)

Hence, 10 additional white balls must be added

Solving (c): Additional black balls, if \(P(White) = \frac{1}{4}\)

Let the additional black balls be x

So:

\(P(White) = \frac{White}{Total+x}\)

So, we have:

\(\frac{1}{4} = \frac{5}{10+x}\)

Cross multiply

\(10+x = 5 * 4\)

\(10+x = 20\)

Collect like terms

\(x = 20 -10\)

\(x = 10\)

Hence, 10 additional black balls must be added

Answer:

4 to the 5th power

Step-by-step explanation:

since 4 is being multiplied by itself 5 times, then 5 becomes the exponent :)

The exponential form of the expression is \(4^5\).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 4 x 4 x 4 x 4

There are five 4's.

So,

= \(4^5\)

Thus,

The exponential form is \(4^5\).

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The smaller number is 25 and larger number is 37

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here; The sum of two numbers is 62 and 3 times the smaller number exceeds twice the larger number by one.

let the smaller number be x and the larger number be y then we have

x+y=62

3x-2y=1

Thus solving this system of linear equations by method of elimination we get

5y=185

y=37

∴ x=25

Hence, The smaller number is 25 and larger number is 37

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The scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

To find the scale factor of a prism to another prism, you need to compare the corresponding dimensions of the two prisms. For example, if you have a rectangular prism with dimensions of 4 cm x 3 cm x 5 cm and another rectangular prism with dimensions of 8 cm x 6 cm x 10 cm, you can compare the lengths, widths, and heights to find the scale factor.
To do this, you can divide the corresponding dimensions of the larger prism by the corresponding dimensions of the smaller prism. In this example, the scale factor would be:
Length: 8 cm ÷ 4 cm = 2
Width: 6 cm ÷ 3 cm = 2
Height: 10 cm ÷ 5 cm = 2
Therefore, the scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

Step-by-step explanation:

h(t) = -16t² + 14400

0= -16t² + 14400

(1/-16)×-14400=-16t²(1/-16)

900=t²

\(\sqrt{900} =\sqrt{t^{2}}\)

30=t

Hence, the time taken in seconds for barometer to hit the ground is 30.

A barometer falls from a weather balloon from a height of 14400, this means that the initial height is 14,400 ft.

How many seconds will it take for the barometer to hit the ground?

The initial height of a barometer is 14,400 ft.

After the barometer falls from a weather balloon it hits the ground and final height is 0.

So, the equation h(t)= -16\(t^{2}\)+ initial height

putting h(t)=0 which is the final height and initial height=14,400 we get,

0=-16\(t^{2}\) +14,400

16\(t^{2}\)=14,400

t=\(\sqrt{14,400/16}\)

\(t^{2}\)=900

t=\(\sqrt{900}\)

t=30

Hence, the time taken by barometer to hit the ground is 30 seconds.

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Answer:

488.4 kilometers

Step-by-step explanation:

Notice that angles JNM, KNP and MNP are supplementary, then we have:

with x =5, we can find the measure of angle JNM and angle KNP:

next, notice that angles JNM and LNK are vertical angles, then:

next, angle LNK and angle JNL are supplementary, then:

finally, angle JNP is the sum of angle JNM and the right angle MNP, then:

therefore:

KNP=53

LNK=37

JNL=143

JNP=127

Answer:

9%

Step-by-step explanation:

p*r*t = Interest

$6000*x*10 years = $5400

interest ÷ time ÷ principal = rate

5400 ÷ 10 ÷ 6000 = 0.09

0.09 = 9%

a z-test for the proportional difference is the proper hypothesis test.

A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.

which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).

Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.

\(z = (p1 - p2) / SE\)

where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.

the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:

\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)

here, the sample sizes for two doses is n1 and n2.

We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.

Therefore, a z-test for the proportional difference is the proper hypothesis test.

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Answer:

Let x be the number of additional outfits.

5 + x < 11

The value of x that will make both lines A and B to be parallel is:  20

The line transversal theorem states that:

If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.

Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:

3x + 20 = 80

3x = 80 - 20

3x = 60

x = 60/3

x = 20

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Answer: 25

Step-by-step explanation:

Subtract 46.50 - 46.25 and you’ll get 25

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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