Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply

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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a) The probability the minutes reading is 15 is 1.667%.

b) The probability the minutes reading is 15 or less is 25%.

Probability is the likelihood or chance that an expected outcome occurs when other events can equally happen or occur.

Probability is a fractional value when it is less than 1 and more than 0.  When the event is inevitable, its probability is depicted as 1.  On the other hand, when the event is unlikely to occur, its probability is shown as 0.

As a fractional value, we use decimals, fractions, and percentages to show probability.

The probability of the minutes reading being 15 = 1/60 or 1.667% (1/60 x 100)

The probability of the minutes reading being 15 or less = 25% (1.667% x 15) or (15/60 x 100).

Thus, there is a one in 60 chance that the minute reading is 15 and a 25% in 60 cases that the minute reading is 15 or less.

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The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Answer:

A.336 cubic centimeter

Step-by-step explanation:

6cm×8cm×7cm=336

819 in base five is equal to 13134.

Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.

To write 819 in base five:

Repeat steps 1-3 with the remainder (194):

Repeat steps 1-3 with the remainder (69):

Repeat steps 1-3 with the remainder (19):

The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).

Combine all the digits: 13134.

Therefore, 819 in base five is equal to 13134.

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Answer:

40

Step-by-step explanation:

"The minimum number of hours is the distribution was 23."

So the lowest number of hours per week is 23

"The range was 17."

So from 23 we add 17 more hours to get the full range.

23 + 17 = 40

The maximum number of hours in the distribution is 40.

Answer:

Time in hours (x) ==> distance in miles (y)

1 ==> 610

2 ==> 1,220

2.5 ==> 1,525

Note: constant of proportionality is same all through = 610

Step-by-step explanation:

Constant of proportionality = \( \frac{y}{x} = \frac{915}{1.5} = 610 \)

To get the y-values (miles) for each given x-value (hours), multiply each x-value by the constant of proportionality, 610. Constant of proportionality is same all through.

Thus,

Time in hours (x) ==> distance in miles (y)

1 ==> 1*610 = 610

2 ==> 2*610 = 1,220

2.5 ==> 2.5*610 = 1,525

The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

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Answer:

170°

Step-by-step explanation:

180 - 10 = 170

Answer: KL = KN LM=NO=9 Side-Side-Side

Step-by-step explanation:

The required answers to the question is given below.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.

Use the following figure to understand the answer.

The Proof is

1. KM=KO=5 (GIven)

2. MN=3 (Given)

3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)

4. KL=8 (Given)

5. KL=KN (from 3,4 substitution)

6. NO=ML=9 (Given)

7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.

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Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

C. Or the third option

Step-by-step explanation:

When you multiply something by a power of ten the decimal moves either left or right by the exponent. That probably sounds really confusing but here are some examples. If you multiply a number by 10^4 the decimal will move right 4 places making the number larger. Meanwhile if you multiplied it by 10^-4  it will move to the left 4 places making the number smaller. In your case, when you multiply 1.207 by 10^7, the decimal moves  places to the right which makes it 12,070,000

Answer:

Please find attached pdf

Step-by-step explanation:

Answer:

\(\mbox{\large t = \boxed{1} second}\)

Step-by-step explanation:

The function relating time and height of the ball is given as

\(h(t) = -16t^2 + 16t + 320\cdots\cdots \cdots(1)\)

with the variables h, t as defined in the question

We are asked to find the time at which the ball reaches a height of 320 feet

Substitute 320 for h in Equation (1) and solve for t

\(320 = -16t^2 + 16t + 320\\\\\textrm{Switching sides, }\\\\\\-16t^2 + 16t + 320 = 320\\\\\textrm{Subtract 320 from both sides to get}\\\\\\-16t^2 + 16t = 0\)

Carry 16t  to the right side:

\(-16t^2 = -16t\\\\\)

Divide both sides by -16t:
\(\dfrac{-16t^2}{-16t} = \dfrac{-16t}{-16t}\\\\\implies t = 1\)

That means the ball has a height of 320 feet when t = \(\boxed{1}\) second

We can check if this correct by plugging in t=1 into the original equation:

At t = 1

- 16t² + 16t + 320
= -16(1)² + 16(1) + 320

= -16 + 16 + 320

= 320

Hence t = 1 checks out

Answer: the ball has height 320 feet when t=0, 1 seconds

Step-by-step explanation:

\(Given: \ h(t)=-16t^2+16t+320\ \ \ \ h(t)=32\ feet\\\\Find\ t\geq 0\\\\\)

                                  \(Solution\)

\(h(t)=-16t^2+16t+320\\\\320=-16t^2+16t+320\\\\0=-16t^2+16t\\\\0+16t^2=-16t^2+16t+16t^2\\\\16t^2=16t\\\\16t^2-16t=16t-16t\\\\16t^2-16t=0\\\\16(t^2-t)=0\)

We divide both parts of the equation by 16:

\(\displaystyle\\t^2-t=0\\\\t(t-1)=0\\\\\left \{ {{t=0} \atop {t-1=0}} \right. \ \ \ \ \ \ \Rightarrow\\\\t=0 \ \ \ \ t=1\)

Answer:

B. y + 7 = -6/5 (x+3)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = − 6 /5 x − 53 /5

Point-slope form:  y + 7 = − 6 /5 ⋅ ( x + 3 )

The equation of the line that passes through (3,3) and (1,-5) in slope intercept form is y = 2x - 3.

The equation of the line that passes through (0,0) and (-4,5) in slope intercept form is y = - 5 / 4 x.

Equation can be written in different form such as slope intercept form, point slope form, standard form and general form.

Therefore, linear equation in slope intercept form is as follows:

y = mx + b

where

Therefore, the slope intercept form of the line passing through (3,3) and (1,-5) is as follows;

m = -5  - 3/ 1 - 3

m = - 8 / - 2

m = 2

Let's find y-intercept using (3, 3)

3 = 2(3) + b

3 - 6 = b

b = -3

Therefore, the equation is y = 2x - 3

Let's find the equation in slope intercept form of the line that passes through (0,0) and (-4,5)

m = 5 - 0 / -4 - 0

m = 5 / - 4

m = - 5 / 4

The y-intercept is 0.

Hence, the equation of the line is y = - 5 / 4x

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Answer:

2!

Step-by-step explanation:

Answer:

Option D. x = 8 is correct

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

\(\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \: \:  \: \: \colorbox{white}{=}  \:    \:   + \colorbox{white}{8}}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's solve for x ~

now, subtract 3 from both sides ~

hence, x = 8 ~

Answer: I think it’s C.

sorry if it’s wrong❣️.

The dimensions of the cardboard are:

Width of the cardboard is 14 inches

Height of the cardboard is = 13+ 14 = 27inches

Length of the cardboard = 13 + 14 = 27 inches.

The given parameters are;

Length of the cardboard = The width of the cardboard + 13 inches

Side length of cut out squares = 4 inches

Volume of the box = 456 in³ (corrected to compatible units and based on a similar question)

To find the dimension (height and width) of the piece of cardboard

Now, According to the question:

Let W represent the width of the cardboard, and H the height, we have;

H = W + 13

The width of the box = W - 2×4 = W - 8

The length of the box = H - 2×4 = W + 13 - 2 × 4 = W + 5

The height of the box = 4 inches

Volume of the box, V = Width of box × Length of box × Height of box

Therefore;

V = (W - 8)·(W + 5) × 4

456 =  (W - 8)·(W + 5) × 4

Divide by 4

114 =  (W - 8)·(W + 5)

114 = W^2 +5W -8W -40

114 = W^2 - 3W -40

W^2 - 3W - 40 - 114 =0

W^2 - 3W - 154 = 0

W^2 - 14W + 11W -154 =0

W(W - 14)+ 11 (W -14) =0

(W - 14)(W + 11)=0

W = 14 or W = -11

It takes W = 14

Hence, The dimensions of the cardboard are:

Width of the cardboard is 14 inches

Height of the cardboard is = 13+ 14 = 27inches

Length of the cardboard = 13 + 14 = 27 inches.

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Answer:

D. The x value of 4 is paired with different y values

Step-by-step explanation:

x values cannot repeat.

The figure that shows a reflectional symmetry would be figure C. That is option A.

The reflectional symmetry of shapes is defined as the type of symmetry where one-half of the object reflects the other half of the object.

This is also called a mirror symmetry. This is because the image seen in one side of the mirror is exactly the same as the one seen on the other side of the mirror.

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Answer:

13 playing cards

Step-by-step explanation:

Thomas = 19 playing cards

Brother = 6 playing cards (which give Thomas)

Thomas = 19 playing cards - 6 playing cards = 13 playing cards

Answer:

\(\huge\boxed{\sf 13\ cards}\)

Step-by-step explanation:

Thomas has total = 19 playing cards

He gave away = 6 cards

Thomas have now:

=> 19-6

=> 13 cards

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

The new coordinates of the image of the shape are

The picture of the graph showing the image is attached

The rule for 90 degrees clockwise rotation is

(x, y) becomes (y, -x)

The rule involves interchanging the coordinates of the ordered pair such that x takes the place of y and y tales the place of x and a change of sign

performing the rotation we have the new coordinates as below

(2, 3) becomes (3, -2)

(2, 2) becomes (2, -2)

(4, 2) becomes (2, -4)

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Answer:

I'm confused as to what your asking?

Answer:

y= 2x +1

Step-by-step explanation:

slope 9-7/4-3 = 2/1= 2

y-7 = 2(x -3)

y-7 = 2x -6

y = 2x +1

The v can be written as a linear combination of u1, u2, and u3 as:

v = -(1/9)u1 + (5/3)u2 - (4/3)u3

To find the linear combination of u1, u2, and u3 that equals v, we can use the method of solving a system of linear equations.

The equation for v in terms of u1, u2, and u3 is:

v = a1u1 + a2u2 + a3u3

where a1, a2, and a3 are the coefficients of the linear combination.

Plugging in the given values for v, u1, u2, and u3:

(-1,7,2) = a1(3,2,8) + a2(1,-3,-1) + a3(-2,1,-3)

We can solve this system of equations by equating the corresponding entries of the two vectors:

-1 = 3a1 + a2 - 2a3

7 = 2a1 - 3a2 + a3

2 = 8a1 - a2 - 3a3

We can then use any method to solve the system of equations, such as substitution, elimination or Cramer's rule.

By solving the system of equations we get:

a1 = -(1/9), a2 = (5/3), a3 = -(4/3)

Therefore, v can be written as a linear combination of u1, u2, and u3 as:

v = -(1/9)u1 + (5/3)u2 - (4/3)u3

It is possible to write v as a linear combination of u1, u2, and u3.

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Answer:

-7

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the value of t, we can use the formula for the slope of a line:

m = (y2 - y1) / (x2 - x1)

Given that the slope of the line is 0, we have:

0 = (-7 - t) / (5 - 3)

To solve for t, we can cross-multiply:

0 * (5 - 3) = -7 - t

0 = -7 - t

To isolate t, we can add 7 to both sides:

7 = -t

Dividing both sides by -1, we get:

t = -7

Therefore, the value of t is -7.

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

3

Step-by-step explanation:

The two numbers are 3 and 7, and 3 is the smaller one

Step-by-step explanation:

x, y are the 2 numbers.

x + y = 10

y - x = 4

that gives us

y = x + 4

and we use that in the first equation :

x + x + 4 = 10

2x = 6

x = 3

y = x + 4 = 3 + 4 = 7

so, yes, the smaller number is 3.