Arthur starts his first workout routine by doing 10 push-ups. Each workout after the first, he plans to do 2 more push-ups than in the previous workout. By his 20th workout, how many total push-ups will Arthur have done?

Answer:

X=102 y=288 =390

Step-by-step explanation:

X=50+32=82=180-82=102

Y= 50+32=82=360-82=288

Total answer is =390

Answer:

point S

Step-by-step explanation:

mooo! hope this helps

Answer:

Dimensions of section B = 36 inches, 48 inches

Area of the piece of sheet metal after both sections are cut and removed  = 6336 square inches

Step-by-step explanation:

Given: Width and length of a rectangular piece of sheet metal are 60 inches and 44 inches.

To find: dimensions of section B, the area of the piece of sheet metal after both sections are cut and removed

Solution:

Length of rectangle B = TR = SR - ST = PQ - ST (As SR = PQ being opposite sides of rectangle)

Length of rectangle B = PQ - ST = 60  - 24 = 36 inches

Breadth of rectangle B = UR = QR - QV - VT - TU

Here, QR = PS = 144 inches (opposite sides of rectangle PQRS are equal )

QV = 36 inches

VT = WX = 24 inches ( opposite sides of rectangle WVTX are equal)

TU = 36 inches

So,

Breadth of rectangle B = 144 - 36 - 24 - 36 = 48 inches

Area of rectangle B = length × breadth = 36 × 48 = 1728 square inches

Area of rectangle WVTX = length × breadth = 24 × 24 = 576 square inches

Area of rectangle PQRS = PQ × PS = 60 × 144 = 8640 square inches

Area of the piece of sheet metal after both sections are cut and removed =8640 - ( 1728 + 576 ) = 8640 - 2304 = 6336 square inches

Answer:

318 mm2

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

Hope this answer can help you. Have a nice day!

Answer:

[tex]318mm^{2}[/tex]

You can break the shape into pieces you can work with, and then add up the areas individually.

Answer:

C is the correct answer. F(x) = -[tex]x^{3}[/tex]

Answer:

It's b

Step-by-step explanation:

Just answered it

The given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1). Option B is correct.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard deviation

Here,
P(z < −2.1)
By the property of the Z score,

P(z < −2.1) = 1 – P(z < 2.1)

Thus, the given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1).

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ2

Answer:

-2(x + 1)(x + 6)  

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  -2x^3-14x^2 - 12x

Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.  

This quotient is also easily factored:

-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6)  =  -2(x + 1)(x + 6)  

Answer:

True, 3 tenths is closer to one whole

Step-by-step explanation:

                              ↓                                                                 ↓

Answer:

No, because the volume of the cone is greater than the volume of the ice cream scoop.

Step-by-step explanation:

To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.

The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:

V = (4/3) * pi * r^3

V = (4/3) * pi * 1^3

V = 4.1888 in3

Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):

V = (1/3) * pi * r^2 * h

V = (1/3) * pi * 1^2 * 5

V = 5.236 in3

As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.

Answer:

The probability is 5/14

Step-by-step explanation:

Here, we are to calculate/estimate a probability

Firstly , we need to know the total number of caps

we have 5 bill caps and 3 beanies.

Total number of caps = 5 + 3 = 8 caps

The probability of picking the first bill cap is 5/8

Now after removing this and not replacing, we have 4 bill caps left and 3 beanies

Total cap remaining is 7 caps while the probability of picking a bill cap now is 4/7

The combined probability is thus 5/8 * 4/7 = 5/14

Answer:

Compound probability is equal to the probability of the first event multiplied by the probability of the second event.

Step-by-step explanation:

Answer:

p = 3, p = 5

Step-by-step explanation:

Express 150 as a product of prime factors, that is

150 = 2 × 3 × 5 × 5

Thus 2 odd factors of 150 are 3 and 5

The possible values of p are 3 and 5

Answer:

12

Step-by-step explanation:

12 times 12 is 144

Hope this helps

Answer:

a) La medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m. b) El triángulo en cuestión no es un triángulo rectángulo, es decir, ninguno de sus ángulos internos es recto (90 grados sexagesimales). En estos casos, no se puede aplicar el Teorema de Pitágoras o la simple utilización de las razones trigonométricas; se aplican, en cambio, leyes para la resolución de triángulos oblicuángulos (o triángulos no rectángulos).

Step-by-step explanation:

Este problema no se puede resolver "aplicando sólo las razones trigonométricas o el teorema de Pitágoras" porque es sólo aplicable a triángulos rectos, es decir, uno de los ángulos del triángulo es recto o igual a 90 grados sexagesimales. Los dos restantes triángulos suman 90 grados sexagesimales, o se dice, son complementarios.

La resolución de triángulos que no son rectos (conocida en algunos textos como solución de problemas de triángulos oblicuángulos) pueden resolverse usando, la ley de los senos (o teorema del seno), ley de los cosenos y la ley de las tangentes. El caso propuesto en la pregunta se ajusta a la ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)} = \frac{c}{\sin(\gamma)}[/tex]

Es decir, la razón entre el lado de un triángulo y el seno del ángulo que tiene frente a él es igual para todos los lados y ángulos del triángulo.

El triángulo de la pregunta no tiene un ángulo recto

La suma de los ángulos internos de un triángulo es de 180 grados sexagesimales:

[tex] \\ \alpha + \beta + \gamma = 180^{\circ}[/tex]

En la pregunta tenemos que la suma de los dos ángulos propuestos es:

[tex] \\ 34^{\circ} + 64^{\circ} + \gamma = 180^{\circ}[/tex]

[tex] \\ 98^{\circ} + \gamma = 180^{\circ}[/tex]

Restando 98 grados sexagesimales a cada lado de la igualdad:

[tex] \\ 98^{\circ} - 98^{\circ} + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ 0 + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ \gamma = 82^{\circ}[/tex]

Con lo que se deduce que no hay ningún ángulo recto en el triángulo propuesto y no se podría usar el Teorema de Pitágoras o simples razones trigonométricas para resolverlo.

Resolución del lado del triángulo

De la pregunta tenemos:

Digamos que:

[tex] \\ a = 4m, \alpha = 34^{\circ}[/tex]

[tex] \\ b = x, \beta = 64^{\circ}[/tex]

Entonces, aplicando la Ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)}[/tex]

Multiplicando a cada lado de la igualdad por [tex] \\ \sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = \frac{b}{\sin(\beta)}*\sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*\frac{\sin(\beta)}{\sin(\beta)}[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*1[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b[/tex]

Sustituyendo cada valor en la expresión anterior:

[tex] \\ b = \frac{a}{\sin(\alpha)}*\sin(\beta)[/tex]

[tex] \\ b = \frac{4m}{\sin(34^{\circ})}*\sin(64^{\circ})[/tex]

[tex] \\ b = 4m*\frac{0.8988}{0.5592}[/tex]

[tex] \\ b = 6.4292m[/tex]

En palabras, la medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m.

El lado c puede obtenerse de manera similar considerando que [tex] \\ \gamma = 82^{\circ}[/tex].

Answer:

Step-by-step explanation:

This problem is about our wet clothe, when we put it under the Sun to dry.

Notice that the clothe is wet at the beginning, but after a certain time, it gets dry. This phenomenon is beacuse the change of the state of the water inside the clothe.

You see, at the beginning, the water is in liquid state making the wet effect, then that water transforms into vapor, makign the dry effect.

Therefore, the answer is "liquid water to vapor water", that's the change.

Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = [tex]\frac{168}{7}[/tex]

x = 24

Therefore, value of x = 24

Answer:

0

Step-by-step explanation:

if I'm correct it's 0 because when you do all of the math that's what it came out to

Answer:

(C)108 square feet

Step-by-step explanation:

A net of triangular prism consists of two triangular and three rectangular faces.

The net attached is that of a right triangular prism.

Area of One Triangular Face =0.5 X  3 X 4=6 square feet

The rectangular faces are of dimension 4 ft by 8 ft, 5ft by 8ft and 3ft by 8 ft respectively.

Therefore:

Surface Area of the net =2(6)+(4X8)+(5X8)+(3X8)

=12+32+40+24

=108 square feet

The correct answer is C.

Answer:

108

this is correct, trust me

Answer:

The correct option is Sometimes.

Step-by-step explanation:

Volume refers to the amount of three-D space that a liquid, a solid or a gas, occupies. Some of the most commonly used units of volume are cubic meters, liters, millilitres and cubic centimetres.

Whereas, capacity refers to the capability to hold or absorb something. It is similar in theory to volume, but there are little dissimilarities.  

Consider the example below:

So, the capacity of a container can be or cannot be less than the volume.

Thus, the correct option is Sometimes.

Answer:

x = 180 -117

x = 63°

y = 90 - 63

y = 27°

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

sry if I'm wrong although I used calculator

1/6 and you got the comment why

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer:

Option B (-3,-8)

Step-by-step explanation:

Use a graphing tool to graph the lines [tex]-4x+3y=-12[/tex] and [tex]-2x+3y=-18[/tex].

When graphed, the lines pass at the point (-3, -8).

Graph B matches this, so Option B is the answer.

Answer:

6a-18

Step-by-step explanation:

multiply by 6

6a-(6×3)

6a-18

=6a-18

Answer:

320$

Step-by-step explanation:

Answer:

Step-by-step explanation:

80 divided by 4 should be 20? sorry if i am wrong

Answer:

Using a Graphing Calculator like Desmos, we can figure this out.

Here is what is should look like:

Answer: She sold 5 shirts

Step-by-step explanation: 100 + 12x6 + 5t + 7x4 + 5x5 - 8x5

you get 100 + 72 + 28 + 25 - 45 + 5t

You add all that and subtract but not the 5t and you get 180 then you can do 205-180 and get 25 then you you find what times 5 equals 25 and then you get 5 t shirts sold

Answer:

See Explanation

Step-by-step explanation:

Let our quadratic polynomial function [tex]f(x)=x^2-7x+6[/tex]

Let our linear binomial in the form (x − a)=x-1

Part 1: We use long division to divide the polynomial by the binomial.

[tex]\left|\begin{array}{c|c}&x-6\\-----&-----\\x-1&x^2-7x+6\\Subtract&-(x^2-x)\\&------\\&-6x+6\\Subtract&-6x+6\\&------\\&0\end{array}\right|[/tex]

Therefore:[tex]\dfrac{x^2-7x+6}{x-1}=x-6[/tex]

Part 2: In our chosen linear monomial x-1, a=1

[tex]f(a)=f(1)\\f(1)=1^2-7(1)+6=1-7+6=0\\f(a)=0[/tex]

Part 3:

To determine whether a linear binomial is a factor of a polynomial function using the remainder theorem

Answer:

2 4 and 5

Step-by-step explanation:

took it and got it right

Answer:

The Answers Are 2, 4, and 5

Step-by-step explanation:

Which statements describe analogous structures? Check all that apply.  

Analogous structures indicate a common ancestor.

Analogous structures do not indicate a common ancestor.

Analogous structures have the same structure, but may have a different function.

Analogous structures have the same function but a different structure.

An example of an analogous structure is the wing of a bat and a butterfly.

An example of an analogous structure is the forelimb of a human, a dog, and a whale.