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3 years ago

When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F.

Mathematics

2 answers:

AnnZ [28]3 years ago

5 0

Answer:

-3°F

Step-by-step explanation:

3-3=0, -3 more is -3

Ede4ka [16]3 years ago

4 0

Ava woke up to be -3 Fahrenheit

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Let's go shopping! Jack spent $64 less than 4 times what Annie spent. Jack spent $100. . Write and solve an equation to find how

morpeh [17]

Step-by-step explanation:

Substitute X for the amount Annie spent

4x-$64 = 100

4x = $164

x = $164/4

x = $41

3 0

2 years ago

Identify the reflection of the figure with vertices E(8,4), F(-16,-8), and G(24,-16) across the y-axis.

Dafna1 [17]

Answer:

$\boxed{\text{E$'$(-8, 4), F$'$(16,-8), G$'$(-24,-16)}}$

Step-by-step explanation:

When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

E (8,4) ⟶ E' (-8,4)

F (-16,-8) ⟶ F' (16,-8)

G (24,-16) ⟶ G' (-24,-16)

$\text{The reflected figure has coordinates } \boxed{\textbf{E$'$(-8, 4), F$'$(16,-8), G$'$(-24,-16)}}$

The figure EFG and its reflection E'F'G' are shown in the diagram below.

6 0

3 years ago

Please answer my questions is really easy but idk

GrogVix [38]

Given:

$m \angle A B D=96^{\circ}$

$m \angle 2 =m \angle 1+ 26^{\circ}$

To find:

$m \angle 1$

Solution:

$m \angle DBC+ m \angle CBA = m \angle ABD$

$m \angle 1+ m \angle 2 = m \angle ABD$

Substitute $m \angle 2 =m \angle 1+ 26^{\circ}$ .

$m \angle 1+ m \angle 1 + 26^\circ = 96^\circ$

$2m \angle 1+ 26^\circ = 96^\circ$

Subtract 26° from both sides.

$2m \angle 1+ 26^\circ -26^\circ = 96^\circ -26^\circ$

$2m \angle 1 = 70^\circ$

Divide by 2 on both sides, we get

$m \angle 1=35^{\circ}$

Therefore, m∠1 = 35°.

8 0

3 years ago

Read 2 more answers

3 Points

jolli1 [7]

Answer:55555

Step-by-step explanation:3 Points

Dawn's credit card has an APR of 15%, calculated on the previous monthly

balance, and a minimum payment of 2%, starting the month after the first

purchase. Her credit card record for the last 7 months is shown in the table

below.

End of

month

Previous

balance

50.00

51700.00

$1687 25

$1674 60

$1662 04

$1649.57

51637 20

New

charges

$1700 00

50.00

50 00

50.00

Payment

received

$0.00

$34 00

533 75

533 49

$3324

$32.99

$32.74

Finance

charges

50.00

521 25

$21 09

$20.93

$20.78

520 62

$20.46

Principal

paid

$0.00

$12.75

$1265

$12.56

$1247

$12.37

$1228

New

balance

$1700.00

$1687 25

51674 60

S1662 04

$1649 57

S1637 20

S1624 92

50.00

How much of the initial purchase has Dawn paid off over the 7 months?

Answer:

Step-by-step explanation:

8 0

3 years ago

Set up (do not evaluate) the integral which gives the volume when region bounded by curves y=Ln(x), y=2, and x=1 is revolved aro

ladessa [460]

Step-by-step explanation:

Graph the region: desmos.com/calculator/rbe6rq61a2

When the region is rotated about y=-2, the resulting shape is a horizontal, hollow cylinder. The volume can be found with either washer method or shell method.

To use washer method, cut a thin vertical slice of the region. Rotated around y=-2, this slice becomes a washer. The width of this washer is dx. The outer radius is 2 − (-2) = 4. The inner radius is y − (-2) = y + 2. The volume of the washer is:

dV = π (4² − (y + 2)²) dx

dV = π (4² − (ln x + 2)²) dx

The total volume is the sum of the washers from x=1 to x=e².

V = ∫ dV

V = ∫₁ᵉ² π (4² − (ln x + 2)²) dx

To instead use shell method, cut a thin horizontal slice of the region. Rotated around y=-2, this slice becomes a cylindrical shell. The thickness of the shell is dy. The radius is y − (-2) = y + 2. The width is x − 1. The volume of the shell is:

dV = 2π (y + 2) (x − 1) dy

dV = 2π (y + 2) (eʸ − 1) dy

The total volume is the sum of the shells from y=0 to y=2.

V = ∫ dV

V = ∫₀² 2π (y + 2) (eʸ − 1) dy

6 0

3 years ago