. Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $7,500 to purchase. The bank said that she could get a simple interest rate of 10% for 5 years. What is the total amount that Beyonce will pay for the chair?

The graph is not a function

Step-by-step explanation:

As your post is written   90 dL  *  L / dl  = 90 L

But I think what you really want is the conversion factor for L to dL :

one liter is 10 dL  :

        L / 10 dL

then you question becomes

   90 dL   * L / 10 dL  =  9 liters      

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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1) the surface area of the composite object is approximately 45.07 cm².

2) the volume of the composite object is approximately 1.66 cm³.

1) Let's start by finding the dimensions of the cones. We know that the slant heights of the cones are 2.7 cm and the diameter of the cylinder is 1.4 cm, which means the radius of the cylinder is 0.7 cm.

Using the Pythagorean theorem, we can find the height of the cones:

h = √(2.7² - 0.7²) ≈ 2.61 cm

The total height of the composite object is the sum of the height of the cylinder and the height of one cone:

H = 7.5 + 2.61 ≈ 10.11 cm

The lateral surface area of the cylinder is:

A_cylinder = 2πrh = 2π(0.7)(7.5) ≈ 33.18 cm²

The lateral surface area of one cone is:

A_cone = πrl = π(0.7)(2.7) ≈ 5.56 cm²

So the total lateral surface area of the composite object is:

A_total = 2A_cone + A_cylinder = 2(5.56) + 33.18 = 44.3 cm²

We also need to add the areas of the circular bases of the cylinder and the two cones:

A_circular_base = πr²

A_cylinder_base = π(0.7/2)² ≈ 0.385 cm²

A_cone_base = π(0.7/2)² ≈ 0.385 cm²

So the total surface area of the composite object is:

A_total = 2A_cone + A_cylinder + 2A_circular_base

= 44.3 + 2(0.385)

≈ 45.07 cm²

Therefore, the surface area of the composite object is approximately 45.07 cm².

2) The volume of the composite object is the sum of the volumes of the cylinder and the two cones.

The volume of the cylinder is:

V_cylinder = πr^2h = π(0.7/2)^2(7.5) ≈ 1.32 cm³

The volume of one cone is:

V_cone = (1/3)πr^2h = (1/3)π(0.7/2)^2(2.61) ≈ 0.17 cm³

So the total volume of the composite object is:

V_total = 2V_cone + V_cylinder = 2(0.17) + 1.32 ≈ 1.66 cm³

Therefore, the volume of the composite object is approximately 1.66 cm³

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1. Triangle A

The length of the hypothenuse of triangle A is missing. To find this length you have to apply the Pythagorean Theorem, which states that the square of the hypothenuse is equal to the sum of the lengths of the legs of the triangle:

Where

a and b represent the lengths of the legs of the triangle.

c represents the length of the hypothenuse

For triangle A, you know the length of both legs, a= 4 units and b= 3 units, replace these values in the expression above to find the length of the hypothenuse:

-Solve the squares:

-Simplify:

-Apply the square roots to both sides:

The length of the hypothenuse is 5 units.

Answer:

20 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

\(\displaystyle d_2 = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

Let W(-6, -8) be (x₂, y₂) and X(6, 8) be (x₁, y₁).

Substitute and evaluate:

\(\displaystyle \begin{aligned}d & = \sqrt{(-8-8)^2 + (-6-6)^2} \\ \\ & = \sqrt{(-16)^2 + (-12)^2} \\ \\ & = \sqrt{400} \\ \\ & = 20 \end{aligned}\)

Therefore, the distance between the two points is 20 units.

Answer:

x> 6

Step-by-step explanation:

6(x-7)>-6

Divide by 6

6(x-7)/6>-6/6

x-7 > -1

Add 7 to each side

x-7+7 > -1+7

x> 6

Answer:

6

Step-by-step explanation:

6 (x-7)>-6

6x - 42 >-6

6x >-6 +42

6x>36

x>36:6

x>6

Answer:

$21.9 per gram

Step-by-step explanation:

Take the total price and divide by the number of grams

$162.18/7.4 grams

$21.91621 per gram

Rounding to the nearest tenth

$21.9 per gram

Answer:

$21.90 per gram (to the nearest tenth)

Step-by-step explanation:

Given information:

To find how much the necklace was worth per gram, divide the total cost by the number of grams:

\(\sf Worth\:per\:gram = \dfrac{\$162.18}{7.4\:g}=\$21.91621622... \:per\:gram\)

Therefore, the necklace is worth $21.90 per gram (to the nearest tenth).

There is higher variability of y with large values of x.

There is a non linear relation between x and y.

We observe from figure b that for lower values of x the residuals are negative and as the values of x increases the residuals become positive but are distributed very close to the zero line.

Again for the extremely high values of x the residuals become negative following a decreasing non linear trend. Hence, from the residual plot we can conclude that the relation between x and y is a non linear one. Hence, the correct option is fourth option i.e, There is a non linear relation between x and y.

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\( \boxed{ \mathfrak{here \: \: is \: \: the \: \: solution \: \: for \: \: teeny : }}\)

Thanks for brainliest Anny !!

Answer:

a = -6

Step-by-step explanation:

\(3a - 5 = - 23\)

\(3a - 5 + 5 = - 23 + 5\)

\(3a = - 23 + 5\)

\( - (23 - 5) = - 18\)

\(a = - 18 \div 3 = - 6\)

\(\boxed{\green{a = - 6}}\)

Answer:

should be complementary angles

(23 * 2.8) - 15

23 * 2.8 = 64.4

64.4 - 15 = 49.4

Answer:

The first one is two over four

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

\(x^2-6x+9=4\sqrt{x^2-6x+6} \\\\(x-3)^2=4\sqrt{x^2-6x+9-3} \\\\(x-3)^2=4\sqrt{(x-3)^2-3} \\\\Let's\ say\ y=x-3\\\\y^2=4\sqrt{y^2-3} \ squaring\\\\y^4=16(y^2-3)\\y^4-16y^2+48=0\\\Delta=16^2-4*48=64=8^2\\y^2=4\ or\ y^2=12\\\\(y-2)(y+2)=0\ or\ (y+2\sqrt{3} )(y-2\sqrt{3} )=0 \\\\y=2,x=5\ or\\\ y=-2, x=-1\ or\\\ y=-2\sqrt{3},x=3-2\sqrt{3}\ \\or\ y=2\sqrt{3},x=3+2\sqrt{3}\\\\\)

Verifying:

\(1) if\ x=-1\ then\\a)\ x^2-6x+9=1+6+9=16\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{1+6+6} =4\sqrt{13}:\ False\\\\2)if\ x=5\\a)\ x^2-6x+9=25-30+9=4\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{25-30+6} =4\sqrt{1}=4:\ True\\\)

\(3) if\ x=3-2\sqrt{3}\ x^2=21-12\sqrt{3} \\a)\ x^2-6x+9=21-12\sqrt{3}-18+12\sqrt{3}+9=12\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{21-12\sqrt{3}-18+12\sqrt{3}+6} =4\sqrt{9}=12:\ True\\\\\\4) if\ x=3+2\sqrt{3}\ x^2=21+12\sqrt{3} \\a)\ x^2-6x+9=21+12\sqrt{3}-18-12\sqrt{3}+9=12\\b)\ 4\sqrt{x^2-6x+6} =4\sqrt{21+12\sqrt{3}-18-12\sqrt{3}+6} =4\sqrt{9}=12:\ True\\\)

Sol={5,3-2√3,3+2√3}

Answer:

not a solution

Step-by-step explanation:

p > -5

Let p = -11

-11 > -5

This is a false statement

It is not a solution

Answer:

In order to find the x-coordinate from both equations, we can isolate the y variable on the left-hand side of both equations, and then set them equal to one another, and solve for x (second equation is already done for us):

4x + 4y = 44

4y = 44 - 4x

y = -x + 11

2x + 2 = -x + 11

3x = 9

x = 3

Step-by-step explanation:

Please support my answer.

Answer:100,000

Step-by-step explanation:

Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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Answer:

D

Step-by-step explanation:

Mean = (4+4+5+8+9) / 5

            30 / 5

             6

Median = put them in order and the one in the middle is the median.

                4, 4, 5, 8, 9

Mode = the most common

            4, 4, 5, 8, 9

The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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The measure of angle A'B'C' in the resulting figure is approximately 142.6 degrees.

The reflection of a point (x, y) across the y-axis is (-x, y). Applying this transformation to the coordinates of A, B, and C, we get:

A' (-2, 1)

B' (-6, 1)

C' (-6, 4)

The rotation of a point (x, y) by 180 degrees counter clockwise is (-x, -y). Applying this transformation to the coordinates of A', B', and C', we get:

A'' (2, -1)

B'' (6, -1)

C'' (6, -4)

Next, we can use the law of cosines to find the measure of angle B:

A'B'C' = 180 - arccos(-7/24)

≈ 142.6 degrees

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The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.

The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.

We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.

In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.

The results are added to obtain the total distance the fish traveled for both activities.

The fish's descent speed = 4 meters per minute (MPM)

The total time for the descent = 2

The total distance for the descent = 8 miles (4 x 2)

The fish's ascent speed = 3 meters per minute (MPM)

The total time during ascent = 3 minutes

The total distance for the ascent = 9 miles (3 x 3)

The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)

Thus, we can mathematically conclude that the fish traveled 17 meters.

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Answer:

10^2

Step-by-step explanation:

10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2

Answer:

100

Step-by-step explanation:

Hope it helps

Answer:

2 . figures have a volume that is greater than 600 in3.

Step-by-step explanation:

Step-by-step explanation:

The leading term is -5x^4, which tells us the highest degree of the polynomial.

The leading term in the equation tells us about the degree and whether the curve opens outwards on inwards

What is an equation in one variable?

An equation is a polynomial in one variable with a finite degree

We are given an equation

\(-5x^4+4x^3-6x^2+8\)

In this the leading term is -5x^4

Here the coefficient is negative this tells us that the curve opens downwards. if the coefficient has been positive then the curve would open outwards.

Also from the leading term we can find out the degree of the highest variable. the degree of highest variable in this case is 4

Hence, The leading term in the equation tells us about the degree of the variable and whether the curve opens outwards on inwards

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Answer:

4. n + 24

5. b - 11

6. d/5

Answer:

No solution is the correct answer for this inequality.

Step-by-step explanation:

equation 1 equal to  y > \(\frac{3x}{2}\) -1

equation 2 equals to y < \(\frac{3x}{2}\) -1

and can be written as

\(\[\frac{3}{2}x - 1 < \frac{3}{2}x - 1\]\)

which clearly shows there is no solution

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