The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. What is the best predicted value for y given x = 64? Assume that the variables x and y have a significant correlation.
Age, x 38 41 45 48 51 53 57 61 65
Pressure, y 116 120 123 131 142 145 148 150 152

Answer: 75 degrees

Step-by-step explanation:

Answer:Amount of rice cooked by Alice =2 11/24kg

Together  Alice and Jasmine cooked 4 7/24kg of rice

Step-by-step explanation:

Amount of rice cooked by Jasmine =1 5/6 kg

Amount of rice cooked by Alice = 5/8 kg more than Jasmine

=1 5/6 kg+ 5/8 kg

=1 (20 +15) /24

=1 35/24

=1 +1 11/24

= 2 11/24 kg

Together  Alice and Jasmine cooked 1 5/6 kg + 2 11/24kg =

=3 20 +11/24

=3 31/24=3 +1 7/24

=4 7/24kg

Answer:

-3

Step-by-step explanation:

The slope intercept formula y = mx + b with b is the y-intercept

for y = x - 3

b = -3

The construction of similar triangles are given in attached figure.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Similar shapes are shapes whose lengths are in an equivalent ratio. Triangle ABC and triangle DEF are similar because the side lengths of both triangles are in an equivalent ratio (refer to the attachment).

Step 1: Draw a random triangle ABC

The lengths of two sides and an angle are:

AB=10

BC=6

C=90

Step 2: Draw and measure the length of DE

DE=15

Step3: Calculate the ratio

The corresponding line segment to DE is line segment AB.

So, the ratio (k) is:

k= DE/AB

k= 15/10

k=1.5

Step 4: Multiply the ratio by the other line segment in step 1

In (1), we have:

BC=6

So,

EF=k*BC

EF=1.5*6

EF=9

Step 4: Draw a circle with center F and radius EF  

The center of the circle is point F and the radius of the circle is 9 units

Step 5: Draw a ray from the center (i.e. point F) to DE

Refer to the attached image for

Triangle ABC

Triangle DEF

Circle with center F and radius 9

Ray from F to DE

Therefore, construction of similar triangles are given in attached figure.

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Answer:

power of 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

8^4 is 8*8*8*8

8^2 is 8*8

therefore

(8^4) *(8^2) = (8*8*8*8)*(8*8) = 8^(4+2) = 8^6

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it!   23

Step-by-step explanation:

Answer:

2x(x+3)=0

x=0, -3

Step-by-step explanation:

2x^2+6x=0

2(x^2+3x)=0

2x(x+3)=0

x=0, -3

first, find all the common terms/factors and divide them out of the entire term, then solve for x. If the equation is equal to 0, set each part equal to 0. In this example, it would be 2x=0 and x+3=0. for 2x=0, what times 2 is equal to 0? the answer is zero. For x+3=0 the goal would be to get x by itself on one side of the rquation. to do that we need to subtract 3 from x+3 and what you do to one side you must do to the other. 0-3= -3

Answer:

C. 4

Step-by-step explanation:

The initial value would be four because that's what the value is at the start of the graph.

Answer:

Step-by-step explanation:

Total interest paid:$82.76

Total payments:$1,532.76

Answer:

x3 - 2x2 - 4x - 10

         x      

Step-by-step explanation:

i think

Answer:

1.46 minutes 38F+26F=64 feet

Step-by-step explanation:

T/F

1/26

1.46/38

2/52

The range of possibilities for the third side of the triangle, after using the triangle inequality theorem is 13 < n < 25.

According to the theorem of triangle inequality, the sum of any two of a triangle's sides must exceed the length of the third side. When we know the lengths of two sides, x and y, we can apply the triangle inequality theorem to estimate the length of the third side, which will be between x + y and x - y.

As a result,

x – y < n < x + y

19 – 6 < n < 19 + 6

13 ft < n < 25 ft

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Answer:

y=-1

Step-by-step explanation:

The slope and y-intercept of y=-9 is 0 and (0,-9).

Linear equations can be written in the form y=mx+b, where:y is a y coordinate on the line m is the slope of the line.A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Change y=9 in the slope-intercept form: y=mx+c, where m is the slope of the line and c is the y-intercept, y=0(x)+(-9),

Comparing the equation y=0(x)+9 with the equation y=mx+c, we get that m=0. It is a horizontal line. The slope = 0.

The line cuts the y-axis at the point (0,-9), The y-intercept is at the point  (0,-9)

Hence, the slope and y intercept is 0 and (0,-9).

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Answer:

2x4=8+3=11

Step-by-step explanation:

first multiply 2 times 4 equals 8 and add 3 which equals 11.

Answer:

Step-by-step explanation:

Rectangle A has a larger area.

The way by which we can determine which rectangle has a larger area is by calculating the area of each corresponding rectangle.

Let assume that each grid represents 5 units.

Then for rectangle A:

= length × breath

= (3boxes × 5units)cm × (5boxes × 5units)cm

= 15 cm × 25 cm

= 375 cm²

For rectangle B

= length × breadth

= (2boxes × 5units) cm × (6boxes × 5 units)cm

= 10 cm × 30 cm

= 300 cm²

S, from the above calculation, it is obvious that rectangle A has a larger area.

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer:

3

Subtract the smaller number from the greater number.

You get -3, right?

Remeber the key rule- negative minus negative is positive.

Answer:

x = 7

Step-by-step explanation:

6x - 9 = 33

6x = 33 + 9

6x = 42

x = 42 / 6

x = 7

6x - 9 = 33

6 x 7 - 9 = 33

42 - 9 = 33

33 = 33

Hope that helps!

Answer: x=7

Step-by-step explanation:

6x-9=33

for x

6x=33+9

6x=42

x=42/6

x=7

for checking put value of x

6*7-9=33

42-9=33

33=33

Answer:

8 days

Step-by-step explanation:

Every day, 1.26 stock is returned. You want to find the number of days until it reaches 10.08, so create an equation. x represents days.

1.26 * x = 10.08

x = 8

The value of the missing side x is 38.40 units given the triangle is a right angled triangle with angle 38° and side opposite to the angle is 30 units. This can be obtained by using trigonometric ratios.

Trigonometric identities,

If in a right triangle ΔABC where A is the right angle

In the question,

x is the adjacent side of the angle 38° and 30 units is the opposite side.

The ratio with opposite side and adjacent side is tan A

Therefore,

⇒ tan 38° = \(\frac{opposite\ side}{adjacent\ side}\)

⇒ tan 38° = 30/x

⇒ x = 30/tan 38°

∵ tan 38° = 0.781285627

⇒ x = 30/0.781285627

⇒ x = 38.398249

⇒ x = 38.40

Hence the value of the missing side x is 38.40 units given the triangle is a right angled triangle with angle 38° and side opposite to the angle is 30 units.

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Answer:

A. Dilation of scale factor 2

B. Reflection over the y-axis

C. Reflection over the line y=x

D. Translation 1 unit left and 1 unit up

The vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

It is given that:

The coordinates are:

Rectangle EFGH has vertices E(−3, 4), F(−2, 4), G(−2, −2), and H(−3, −2).

After applying dilation with a scale factor of 3:

E(−3, 4) → E'(-3x3, 4x3) = E'(-9, 12)

Similarly,

F(−2, 4) → F'(-6, 12)

G(−2, −2) → G'(-6, -6)

H(−3, −2) → H'(-9, -6)

Thus, the vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

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Answer: 80

Step-by-step explanation: The question is tell us that a certain company  we don't know which one, but it says a certain company has 400 shoes. that is important to note. also 20% of the shoes are black. and One shoe is chosen and replaced. Then the second shoe is chosen. The question is What is the probability that the shoes chosen are black?

Well, take 400 and mutipy it by 20% which changes to 0.20 in decimal form then mutiply your answer by one and you get 80. so the answer is the probability that shoes chosen are black is 80%.

Answer:

Step-by-step explanation:

the sum of the internal angles of a triangle is 180 °, so 4x + 14 + 3x - 1 + x - 1 = 180 °

4x + 14 + 3x - 1 + x - 1 = 180

8x + 12 = 180

8x = 180 - 12

8x = 168

x = 168 : 8

x = 21

--------------------

angle 4x+14=

4 * 21 + 14 = 98°

angle x-1 =

21 - 1 = 20°

angle 3x-1 =

3 * 21 - 1 =

63 - 1 =

62°

------------

check

98 + 20 + 62 = 180°

Answer:

He is wrong since reflecting the image across the x-axis means reflecting it on the axis that is horizontal and reflecting it over the y-axis means reflecting it on the y-axis which is verticle.

Answer:No, it would not be the same if you reflect it from the X axis.

Step-by-step explanation:

because the the shape is not "on" the X axis. When you reflect the shape across the X axis, then you will not really get a shape. It's easier if you imagine you put a mirror on the x axis and looked at it. Malik would have to shift the whole shape down so that the current points (3,1) and (-3,1) would change to (3,0) and (-3,0) Also shifting down the other two points too. Reflecting it is like if you had the shape in paper and you folded it in half. If it matches perfectly, then you know that you have a match and that it is reflecting. If it doesn't fold perfectly, then it doesn't reflect. So if you folded the shape from the X axis, you wouldn't get a perfect match so he is wrong. Does it help?

This is a more complicated way to write \(y < 2\)

The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.

In interval notation, the answer would be \((-\infty, 2)\) with the curved parenthesis to indicate "do not include y = 2 as part of the range".

The values that are solutions to inequality are -6 and 5.

Options A and D are the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

x² + 3x - 4 > 0

Now,

Substituting x = -6, -2, 0, 5

(-6)² + 3(-6) - 4 > 0

36 - 18 - 4 > 0

36 - 22 > 0

14 > 0

True.

x² + 3x - 4 > 0

(-2)² + 3 x (-2) - 4 > 0

4 - 6 - 4 > 0

-6 > 0

This is not true.

x² + 3x - 4 > 0

0 + 3 x 0 - 4 > 0

0 + 0 - 4 > 0

-4 > 0

This is not true.

x² + 3x - 4 > 0

5² + 3 x 5 - 4 > 0

25 + 15 - 4 > 0

40 - 4 > 0

36 > 0

This is true.

Thus,

-6 and 5 are the solutions to inequality.

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Answer:

$1596

$1597.28

$1598.33

bank A

Step-by-step explanation:

The formula for calculating compound interest:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Bank A = $1500(1.064) = $1596

Bank B = $1500( 1 + 0.063/12)^12 = 1597.28

Bank C = $1500( 1 + 0.0635/365)^365 = $1598.33

Bank A pays the least amount of interest