Function f is an exponential function.



x −4 −2 0 2 4
f(x) 316 34 3 12 48
By what factor does the output value increase as each input value increases by 1?

Answer: Hi, if the question is "how many hours she needs to work this week in order to win at least $690"

then, per week Lia wins:

$150 + $45*x,

where x is the amount of hours that she worked in the week.

then the equation we need to solve is:

$150 + $45*x = $690

$45*x = $690 - $150 = $540

x = 540/45 = 12

then she needs to work at least 12 hours this week in order to win at least $690.

Answer:

10cm Base

Step-by-step explanation:

Actually the answer is 10 cm for the base.

First step is take 1600cm2 and divide it by 4 (or how many pendents you have) so it'll look like this

1600/4 =400cm2

Then you need to find the area of the Triangles.

Area of the Triangle=1/2xbase xheight

400=1/2xbx80

400=40xb

10=b

Answer: 10cm Base

Step-by-step explanation:

Splitting an obtuse angle in half will either result in two acute angles or right angles, depending on the original angle's measure.

When an obtuse angle is split in half, each of the two new angles will be either acute or right angles, depending on the measure of the original obtuse angle. An obtuse angle is one that is greater than 90 degrees but less than 180 degrees.

By splitting an obtuse angle exactly in half, both resulting angles will have a measure less than 90 degrees, making them acute, unless the original angle was exactly 180 degrees, in which case the split would result in two angles of 90 degrees each, making them right angles.

Consider the obtuse angle, ABC, which measures 120 degrees. When we bisect angle ABC to create two new angles, namely ABD and DBC, each of these angles will measure 60 degrees, classifying them as acute angles.

Answer:

Quotient = 0.16, Remainder = 0    

Step-by-step explanation:

Standard algorithm of division is a step by step procedure to perform division.

In this question we have to divide 0.64 by 4, therefore, 0.64 is the dividend and 4 is the divisor.

Steps:

Zero times four is 0. Then we put decimal point in our quotient.

Continuing one times 4 is 4. We subtract 4 from 6 to have remaining value of 2. Then, we copy down 4. Thus, the remaining value now is 24.

Six times four is 24. Thus, the remaining value is zero.

Hence, we get the remainder of zero and quotient 0.16.

When 0.64 is divided by 4 using standard algorithm, we get 0.16.

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given is 0.64 divided by 4.

In order to divide 0.64 by 4, follow the given steps -

1 : 4 multiplied by 0 is equal to 0. Start writing the quotient as by writing 0 and decimal point after it.

2 : 4 multiplied by 1 is 4 and when 4 is subtracted from 6, we get 2. The quotient will now become 0.1 . Bring 4 down, next to 2.

3 : Now, 24 divided by 4 gives 6, this will leave remainder 0 and the final quotient will be 0.16

Therefore, 0.64 divided by 4 using standard algorithm, we get 0.16.

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Answer: 18 cups.

Step-by-step explanation:

From the given picture we can see

The ration of sugar to cinnamon in the donuts topping =[tex]\frac{\text{no. of blue box }}{\text{no. of green box}}=\frac{3}{2}=3:2[/tex]

Thus, the number of sugar cups to make 1 donuts topping=[tex]\frac{3}{3+2}=\frac{3}{5}[/tex]

The number of sugar cups to make 30 cups of donuts toppings[tex]\frac{3}{5}\times30[/tex]

[tex]=3\times6\\=18\ cups[/tex]

The number of cups required to make 30 cups of donuts toppings=18 cups

Making friends on the Internet can be beneficial, especially for those who struggle with face-to-face interactions, but it is vital to remain cautious and maintain online safety by keeping personal information private and consulting adults about meetings.

Making friends over the Internet has become increasingly common and can be a positive experience; however, it comes with its risks. Understanding the nature of online relationships and knowing how to navigate them safely is crucial. When interacting online, remember that not everything shared may be private, and it's essential to be cautious about what personal information you disclose. If an Internet friend asks to meet in person, it is vital not to agree to it without consulting an adult. Adults can provide guidance, help assess the situation, and ensure that if a meeting is to occur, it takes place in a safe, public environment under the right supervision.

The Internet indeed offers opportunities to form meaningful connections, especially for those who may find face-to-face interactions challenging. Research has highlighted that virtual relationships could be as intimate as in-person ones. Yet, it is critical to stay vigilant about the risks associated with forming friendships online, such as privacy concerns, the potential for misinformation, or encountering online predators. Keeping personal information private, being careful about accepting friend requests from strangers, and paying attention to privacy settings are essential steps to maintaining online safety.

In summary, while making friends over the Internet can have its advantages, one must exercise caution and involve an adult when decisions about meeting such friends arise.

Answer: d = 2

Step-by-step explanation:

3(d+2)−12=d−2

The summation of 10 yds and fifteen yds is 25 yds thus the ball is the on 25 yd line and the zero represents the ball is in the net and goals.

The summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.

There could be only two terms, but there could be one hundred, a thousand, or a million.

As per the given question,

The initial position of the ball = 10 yd line

The team gained 15 yds in the first play.

Therefore, New position of the ball = 10 yds + 15yds = 25 yds

Hence "The summation of 10 yds and fifteen yds is 25 yds thus the ball is the on 25 yd line and the zero represents the ball is in the net and goals".

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Answer:

20%

Step-by-step explanation: So 40 percent = 100 percent. If you divide 40 percent by 5 you get 8. 1/5 is equal to 20% and 8 is a fifth of 40. So the answer is 20%.

We have that the 8 is 40 percent of 20 and it  is mathematically given as

x=20

Question Parameters:

8 is 40 percent of what number

Generally the equation for the statement  is mathematically given as

x*40%=8

Therefore

x*40%=8

x*0.4=8

x=20

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The baker used 2 1/3 cups of pastry flour per cup of wheat flour.

To find out how many cups of pastry flour are used per cup of wheat flour, we can set up a proportion based on the given information:

3 1/2 cups pastry flour / 1 1/2 cups wheat flour = x cups pastry flour / 1 cup wheat flour

We can solve for x by cross-multiplying:

(3 1/2)(1) = (1 1/2)(x)

7/2 = 3/2x

Now we can solve for x by dividing both sides of the equation by 3/2:

(7/2) ÷ (3/2) = x

7 ÷ 3 = x

x = 2 1/3

Therefore, the baker used 2 1/3 cups of pastry flour per cup of wheat flour.

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The diameter of the new cell, which is exactly half the diameter of the original cell (4.32 x 10^-4 millimeters), is 2.16 x 10^-4 millimeters.

The lab technician is dividing a cell with an original diameter of 4.32 x 10^-4 millimeters. The new cells' diameter is stated to be exactly one half of the original diameter. Therefore, to find the diameter of the new cell, simply take half of the original cell's diameter. This can be accomplished by dividing the numerical value of the diameter by 2, which would be 4.32/2 = 2.16. The exponent remains the same because the size (magnitude) of cell diameter is only halved, not the order magnitude. So the diameter of the new cell is 2.16 x 10^-4 millimeters.

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