You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.​

Answer: 0.214

Step-by-step explanation:

There are a total of 14 marbles in the bag, with only 3 being red. 3/14 converts to 0.214

Answer:

GCF (4 ,6) = 2

Greatest common factor (GCF)

Step-by-step explanation:

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

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Answer:

-1 or 2

Step-by-step explanation:

2x2-2x-4

x2-x-2

x2+x-2x-2

x(x+1)-2(x+1)

(x+1)(x-2)

x=-1 or 2

Answer:

38.43 sales tax, 597.43 total price

Step-by-step explanation:

559x.06875=38.43 sales tax

559+38.43=597.43 total price

Answer:

[tex]8 - 5 = 3[/tex]

Step-by-step explanation:

Given

[tex]8 - 5 =[/tex]

Required

Solve

Step 1: Write as addition

Simply change the positions of -5 and (+)8

[tex]8 - 5 = -5 + 8[/tex]

Step 2: Add

[tex]8 - 5 = 3[/tex]

9514 1404 393

Answer:

  1583.4 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...

  V = π(6 ft)²(14 ft) ≈ 1583.4 ft³

_____

Additional comment

The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.

The volume of cylinder is 1583.4ft³.

Step-by-step explanation:

Given that :-

Base diameter if cylinder = 12 ft

To find :-

Solution :-

Using formula

Volume of cylinder = π × r² × h

Substitute the value

Volume of cylinder = π × (6ft)² × 14 ft

evaluate the exponent

Volume of cylinder = π × 36 ft ² × 14ft

multiply

Volume of cylinder = π × 504 ft³

Using , π = 3.14

Volume of cylinder = 3.14 × 504 ft³

Hence, the volume of cylinder is 1582.56ft³.

Round nearest tenth place = 1583.4 ft³.

The radius of the given circle is 5, option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given figure, y is the radius.

By pythagoras theorem we find the radius

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

AC²+AB²=BC²

y²+12²=(y+8)²

y²+12²=y²+64+16y

144=16y+64

Subtract 64 from both sides

144-64 = 16y

80=16y

Divide both sides by 16

y=5

Hence, the radius of the given circle is 5, option C is correct.

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Answer:

B: 153ft2

Step-by-step explanation:

Answer:

DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.

HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.

RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.

MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.

BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.

LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.

FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.

THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.

POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

Answer:

-7

Step-by-step explanation:

cause I took the test and got it right in my first try

Answer:

I think the answer is 278.85

Step-by-step explanation:

Answer:

278.85

Step-by-step explanation:

Answer:

D. -3,-2

Step-by-step explanation:

Let [tex]x^{2} +5x+6=0=(x+2)(x+3)\\[/tex], then  [tex]x+2=0[/tex] or [tex]x+3=0[/tex], thus [tex]x=-2[/tex] or [tex]x=-3[/tex]

Answer:

Step-by-step explanation:

The - tells you that it is upside down. So that much of your choice is correct for certain.

The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.

Answer:

y = 3/2 x - 9/4

Step-by-step explanation:

bring all the y's to one side.

4y = 6x-9

divide by 4 to isolate the y

y = 6/4x - 9/4

simplify

y = 3/2 x - 9/4

Answer:

y = (3/2)x - 9/4

Step-by-step explanation:

Slope intercept form is

y = mx + b

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

6x - 4y = 9

subtract 6x from both sides

-4y = -6x + 9

Divide both sides by -4

y = (3/2)x - 9/4

Answer:

1 1/2 miles

Step-by-step explanation:

Amy is going on a 4 1 /4 miles hike. She has already hiked 2 3 /4 ​ miles. How many more miles does she have left?

We solve the above question using the operation of Subtraction

The number of miles she has left is calculated by:

Total number of miles she must hike - Number of miles she has hiked

Total number of miles she must hike

= 4 1/4 miles

Number of miles she has hiked = 2 3/4 miles

Therefore:

The number of miles she has left to hike is = 4 1/4 miles - 2 3/4 miles

Lowest Common Denominator = 4

4 - 2 + ( 1/4 - 3/4)

2 + (1 - 3/4)

2 + -2/4

1 2/4

= 1 1/2 miles

Awnser: 16022 in3

Step-by-step explanation:

find the volume of the 2 cones find the volume if the semicircle then add the 2 volumes together.

<2 and <6 -----> Neither

<1 and <4 ------> vertical

Hope it helps you...

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

D. (0, -1)

Step-by-step explanation:

Answer:

The Principal = $75,000

Step-by-step explanation:

Formula for finding the principal:

I × 100/ R × T

Therefore;

Principal = 45 × 100 / 3/ 100 × 2

[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]

Which means that the Principal is $75,000.00

Answer: 17 square inches.

Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.

Answer: [tex]x=0.30714\dots +\pi n[/tex]

Step-by-step explanation:

[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]